Jim’s backyard is rectangular with dimensions of 75 feet by 120 feet. He is planning to designate part of the yard to plant a vegetable garden. The garden will be a similar rectangle, using a scale factor of 2/5. How much fencing will he need if he wants to enclose the garden on all four sides?
Answers
Answer:
He will need 99 feet of fence.
Step-by-step explanation:
Jim's back yard has the following dimensions;
Length=120 feet
Width=75 feet
The gardens dimensions can be calculated using the expression;
Length of garden=Length of back yard/scale factor
where;
Length of back yard=120 feet
Scale factor=2/5
replacing;
Length of garden=120/2/5
Length of garden=12 feet
Width of garden=Width of back yard/scale factor
where;
Width of back yard=75 feet
Scale factor=2/5
replacing;
Width of garden=75/2/5
Width of garden=37.5 feet
The gardens dimension are;
Garden width=37.5 feet
Garden length=12 feet
To get the length of the fence that will enclose all four sides, we calculate the perimeter of the garden;
Perimeter=2(length+width)
Perimeter=2(12+37.5)=99 feet
He will need 99 feet of fence
Answer:
he will need 99 feet to fence
Step-by-step explanation:
Jim's back yard has the following dimensions;
Length=120 feet
Width=75 feet
The gardens dimensions can be calculated using the expression;
Length of garden=Length of back yard/scale factor
where;
Length of back yard=120 feet
Scale factor=2/5
replacing;
Length of garden=120/2/5
Length of garden=12 feet
Width of garden=Width of back yard/scale factor
where;
Width of back yard=75 feet
Scale factor=2/5
replacing;
Width of garden=75/2/5
Width of garden=37.5 feet
The gardens dimension are;
Garden width=37.5 feet
Garden length=12 feet
To get the length of the fence that will enclose all four sides, we calculate the perimeter of the garden;
Perimeter=2(length+width)
Perimeter=2(12+37.5)=99 feet
He will need 99 feet of fence
Related Questions
Write a quadratic equation that fits each set of points.
10. (0.-8), (2, 0), and (-3, -5)
Answers
The quadratic equation that fits each set of points (0.-8), (2, 0), and (-3, -5) is -3x² + 10x - 8 = 0
Quadratic equation:
Quadratic equation refers algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
Given,
Here we have the set of points (0.-8), (2, 0), and (-3, -5).
Now, we have to find the quadratic equation for this points.
We know that the standard form of the quadratic equation is,
y = ax² + bx + c
Here we have to use each point value in order to find the value of a, b and c to find the quadratic equation of the points,
First we have to take the point (0, -8) and apply it on the formula, then we get,
-8 = a(0)² + b(0) + c
-8 = c
Now, use the point (2,0), then we get,
0 = a(2)² + b(2) + c
0 = 4a + 2b + c --------------------(1)
Finally, take the point (-3, -5), then we get the equations,
-5 = a(-3)² + b(-3) + c
-5 = 9a - 3b + c --------------------(2)
Now, apply the value of c as -8, then we get,
4a + 2b = 8 ----------------(3)
9a -3b = 3 -----------------(4)
Divide equation (4) by 3 and equation (3) by 2 on both sides then we get,
2a + b = 4
3a - b = 1
When we subtract these equation then we get the value of
a = -3
Then the value of b is
2(-3) + b = 4
b = 4 + 6
b = 10
Therefore, the quadratic equation is -3x² + 10x -8 = 0
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HELLPP 8 GRADE I CANT SOLVE THIS
Answers
Answer: first number is the slope, second number is the y intercept
1: 2 , -8
2: -2/3, -2
3: 1/2, 5
4: -1/3, 3
5: 1, 0
6: -2/3, 4
7: 3, 16
8: -1/4, 8
9: 1/4, 6
Step-by-step explanation:
Y-INTERCEPT:
The y- axis is the middle line going vertical (up down)
You have to look at the CROSSING line to find through which number the line crosses the y-axis
on #1 the line crosses exactly through -8 on the y axis, therefore -8 is the y-intercept
SLOPE:
the slope is (rise over run) rise/ run: to find it the top number is the rise (how far up you go), the bottom number is the run (how far over you go)
you want to find the next point of interception from the y intercept that goes directly through both an x and y plot, so for #1: (1,4) goes right though a x and y plot. You want to start at the y-intercept and count how many squares OVER you go (2) and how many squares UP you go (1) to get from the y-intercept to the next perfect intercept.
With the 2 squares over and 1 square up, the slope is 2/1 or 2
If the line is going DOWN from left to right, whatever slope you get is NEGATIVE
Professor A.B.C company opens his own company, Electronic Tutorial Services, and completes the following transactions in June:
6/1 A.B.C company invests 20,000 in the business.
6/3 Purchased 12,100 of equipment.
6/4 Paid 220 premium for an insurance policy.
6/6 Purchased office supplies on Account 140.
6/9 Purchased a new computer for 9,000. Paid 40% cash agreed to pay the remainder Later.
6/10 Billed student Omar 58 for tutorial services that were performed.
6/14 Paid for the supplies purchased on June 6th.
6/15 the owner suggested to purchased new Building for his company by 22,000
6/25 Received 85 cash from student Salim Ali for tutorial services performed.
6/30 Student billed on June 10 pays the amount due to A.B.C company.
6/30 A.B.C company withdraws 60 for personal use.
Required: Prepare the all Accounting Cycles
Answers
In June, A.B.C company invested $20,000, purchased equipment, paid insurance premium, bought office supplies, billed students for tutorial services, received cash, paid for supplies, withdrew personal funds.
Accounting Cycles:
1. June 1:
- A.B.C company invests $20,000 in the business.
- Prepare the journal entry:
- Debit: Cash ($20,000)
- Credit: Capital ($20,000)
2. June 3:
- Purchased equipment for $12,100.
- Prepare the journal entry:
- Debit: Equipment ($12,100)
- Credit: Cash ($12,100)
3. June 4:
- Paid $220 premium for an insurance policy.
- Prepare the journal entry:
- Debit: Insurance Expense ($220)
- Credit: Cash ($220)
4. June 6:
- Purchased office supplies on account for $140.
- Prepare the journal entry:
- Debit: Office Supplies ($140)
- Credit: Accounts Payable ($140)
5. June 9:
- Purchased a new computer for $9,000. Paid 40% in cash and agreed to pay the remainder later.
- Prepare the journal entry for the cash payment:
- Debit: Computer ($3,600) [40% of $9,000]
- Credit: Cash ($3,600)
- Prepare the journal entry for the remaining amount:
- Debit: Computer ($5,400)
- Credit: Accounts Payable ($5,400)
6. June 10:
- Billed student Omar $58 for tutorial services performed.
- Prepare the journal entry:
- Debit: Accounts Receivable ($58)
- Credit: Tutorial Services Revenue ($58)
7. June 14:
- Paid for the supplies purchased on June 6th ($140).
- Prepare the journal entry:
- Debit: Accounts Payable ($140)
- Credit: Cash ($140)
8. June 15:
- The owner suggested purchasing a new building for the company for $22,000.
- No journal entry is required at this point. It is a decision made by the owner.
9. June 25:
- Received $85 cash from student Salim Ali for tutorial services performed.
- Prepare the journal entry:
- Debit: Cash ($85)
- Credit: Accounts Receivable ($85)
10. June 30:
- Student billed on June 10 pays the amount due ($58).
- Prepare the journal entry:
- Debit: Cash ($58)
- Credit: Accounts Receivable ($58)
11. June 30:
- A.B.C company withdraws $60 for personal use.
- Prepare the journal entry:
- Debit: Withdrawals ($60)
- Credit: Cash ($60)
These transactions represent the accounting cycles for the given period.
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graphing a function and its inverse
consider the graph of f(x)=x^2 and its inverse, f^-1 (x)=-^+ square root of X
Answers
Answer:
\(f^{-1}(x)=\sqrt{x}\)
Step-by-step explanation:
Check images below.
The radius of a circular disk is given as 21 cm with a maximum error in measurement of 0.2 cm.
A) Use differentials to estimate the maximum error in the calculated area of the disk.
B) What is the relative error?
C) What is the percentage error?
Answers
Answer:
a) \(\Delta A \approx 26.389\,cm^{2}\), b) \(r_{A} \approx 0.019\), c) \(\delta = 1.9\,\%\)
Step-by-step explanation:
a) The area of the circular disk is modelled after this expression:
\(A = \pi \cdot r^{2}\)
The total differential is given by the following formula:
\(\Delta A = 2\pi r \cdot \Delta r\)
The maximum absolute error in the calculated area of the disk is:
\(\Delta A = 2\pi \cdot (21\,cm)\cdot (0.2\,cm)\)
\(\Delta A \approx 26.389\,cm^{2}\)
b) The relative error is given by:
\(r_{A} = \frac{\Delta A}{A}\)
\(r_{A} = \frac{26.389\,cm^{2}}{\pi \cdot (21\,cm)^{2}}\)
\(r_{A} \approx 0.019\)
c) The percentage error is:
\(\delta = r_{A}\times 100\,\%\)
\(\delta = 0.019 \times 100\,\%\)
\(\delta = 1.9\,\%\)
greg is going for a run. He runs 19.2 miles at a speed of 6 miles per hour. For how many hours does he run
Answers
Answer:
3.2
Step-by-step explanation:
Because he runs 6 miles per hour you simply do 19.2/6 which gives you 3.2, so he ran for a total of 3.2 hours.
4-32x(-0.5) -15 divided by 1/3
Answers
Answer:
147x-45
Step-by-step explanation:
4(16x)-15 divided by 1/3
49x-15 divided by 1/3
When you divide by a fraction, you multiply the equation by the reciprocal (upside down version) of the fraction.
So, you would multiply 49x by 3 and -15 by 3.
You should get 147x-45
Hope this helped :)
Set up an equation for x and solve to the nearest degree
Answers
Answer:
Almost equals 28°
Step-by-step explanation:
cos(x)= 12/18
x= cos^-1 (12/18)
So it equals 48.1896°
tyler orders a meal thats 15$ if the tax rate is 6.6% how much will the sales tax be on tylers meal?
Answers
Answer : 0.99
Explanation : 15 * 6.6/100 For The Tax.
Total : 15.99
I need help with this
Answers
Answer:
1500
Step-by-step explanation:
Number of boxes = 12
Number of pencils in each box = 125
Total number of pencils
= 12 × 125
= 1500 pencils
Solve for x
x^2 - 8x = -3
Answers
The solutions for the quadratic equation:
x^2 - 8x = -3
Are:
x = 7.6x = 0.4How to solve the quadratic equation?Here we want to solve the quadratic equation:
x^2 - 8x = -3
First we can move all the terms to the left side so we get:
x^2 - 8x + 3 = 0
Using the quadratic formula (or Bhaskara's formula) we can get the solutions for x as:
\(x = \frac{8 \pm \sqrt{(-8)^2 - 4*¨1*3} }{2*1} \\\\x = \frac{8 \pm 7.2 }{2}\)
Then the two solutions for the quadratic equation are:
x = (8 + 7.2)/2 = 7.6
x = (8 - 7.2)/2 =0.4
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Use the Law of Sines to solve the triangle. Round your answers to two decimal places.A = 8° 40', B = 13° 15', b = 4.8
Answers
Given
\(A=8°40^{\prime},B=13°15^{\prime},b=4.8\)To find the value of a, c, C.
Explanation:
It is given that,
\(A=8°40^{\prime},B=13°15^{\prime},b=4.8\)Since,
\(A=8°40^{\prime},B=13°15^{\prime}\)Then,
\(\begin{gathered} A+B+C=180 \\ 8\degree40^{\prime}+13\degree15^{\prime}+C=180\degree \\ C=180\degree-21\degree55^{\prime} \\ C=(179-21)\degree(60^-55^)^{\prime} \\ C=158\degree5^{\prime} \end{gathered}\)Therefore, by using Sine law,
\(\begin{gathered} \frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c} \\ \frac{\sin8\degree40^{\prime}}{a}=\frac{\sin13\degree15^{\prime}}{4.8}=\frac{\sin158\degree5^{\prime}}{c} \\ \Rightarrow\frac{\sin8\degree40^{\prime}}{a}=\frac{\sin13\degree15^{\prime}}{4.8} \\ \Rightarrow\frac{\sin13\degree15^{\prime}}{4.8}=\frac{\sin158\degree5^{\prime}}{c} \end{gathered}\)Therefore,
\(\begin{gathered} \begin{equation*} \frac{\sin8\degree40^{\prime}}{a}=\frac{\sin13\degree15^{\prime}}{4.8} \end{equation*} \\ \frac{0.14608}{a}=\frac{0.227501}{4.8} \\ a=\frac{0.14608}{0.047396} \\ a=3.08211 \\ a=3.1 \end{gathered}\)Also,
\(\begin{gathered} \begin{equation*} \frac{\sin13\degree15^{\prime}}{4.8}=\frac{\sin158\degree5^{\prime}}{c} \end{equation*} \\ 0.047396=\frac{0.366501}{c} \\ c=\frac{0.366501}{0.047396} \\ c=7.73274 \\ c=7.7 \end{gathered}\)Hence, the answer is
\(C=158\degree5^{\prime},a=3.1,c=7.7\)Which pair of terms can be used to represent any two consecutive odd numbers?
x and x+ 1
x and x+2
x and 2x+ 1
2x and 2x+ 1
Answers
Answer:
x and x+2
Because the next consecutive odd number is 2 away from the nearest odd number.
Answer:
odd integers are 2 apart from each other (in between them is an even number)
x and x+2 is answer
Evaluate the expression when
b=7 and x=-3.
X-7b
Answers
-52
Explanation
-3-7*7
-3-49
-52
Find the solution
6 = 1 - 2x + 5
Show your work
Answers
Answer:
x = 0
Step-by-step explanation:
Step 1:
Combine like terms.
We can add 1 and 5 on the right side
\(6=6-2x\)
Step 2:
Subtract 6 from both sides
\(0=-2x\)
Step 3:
Divide by -2 to get x = 0
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Now using StatKey (using at least 5,000 simulated samples) find the p-value in each case above and indicate whether (at a 5% level) there is evidence that the coin is biased. If you are working in a group, consider divide and conquer, before discussing results. Examine the results from the p-values. Consider each of the factors below. Decide whether or not each has an impact on whether or not a sample proportion shows significance. 1. The sample size 2. The sample proportion 3. The number of simulated samples in the randomization distribution
Answers
The sample size and sample proportion have a more significant impact on whether a sample proportion shows significance, while the number of simulated samples in the randomization distribution mainly affects the accuracy and stability of the p-value.
To find the p-value using StatKey with 5,000 simulated samples and determine if there is evidence that the coin is biased at a 5% significance level, follow these steps:
1. Open StatKey and choose the appropriate tool for proportions (you can find this under "Randomization Tests").
2. Enter the sample size, the sample proportion, and the number of simulated samples (5,000) in the given fields.
3. Click "Calculate" or "Simulate" to generate the randomization distribution.
4. Observe the p-value displayed by StatKey.
If the p-value is less than or equal to 0.05 (5% significance level), there is evidence that the coin is biased.
If the p-value is greater than 0.05, there is not enough evidence to conclude that the coin is biased.
Now, let's discuss the impact of each factor on the sample proportion's significance:
1. Sample size:
A larger sample size increases the power of the test, making it more likely to detect a biased coin if it exists. This is because larger sample sizes reduce sampling variability, leading to narrower confidence intervals and more precise estimates.
2. Sample proportion:
A sample proportion that deviates more from the expected proportion (0.5 for a fair coin) increases the likelihood of finding significance, as it indicates a stronger departure from the null hypothesis of no bias.
3. Number of simulated samples in the randomization distribution:
Increasing the number of simulated samples makes the p-value more accurate and stable.
However, the impact of this factor is generally smaller than the other two factors, as the p-value will often converge to a stable value after a certain number of simulations.
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The finishing times for a race happen to be normally distributed with a mean of 10.2 seconds and a standard deviation of 1.4 seconds. Find the cut off score for the top 10%. Interpret this result.
Answers
Using the normal distribution, it is found that the cut off score for the top 10% is of 8.4 seconds. It means that a person with a time of 8.4 seconds or lower is in the faster 10% of runners.
In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.In this problem:
Mean of 10.2 seconds, hence \(\mu = 10.2\)Standard deviation of 1.4 seconds, hence \(\sigma = 1.4\).The lower the times, the faster the runners are, hence, the cut off score for the top 10% is the 10th percentile, which is X when Z has a p-value of 0.1, so X when Z = -1.28.
\(Z = \frac{X - \mu}{\sigma}\)
\(-1.28 = \frac{X - 10.2}{1.4}\)
\(X - 10.2 = -1.28(1.4)\)
\(X = 8.4\)
The cut off score for the top 10% is of 8.4 seconds. It means that a person with a time of 8.4 seconds or lower is in the faster 10% of runners.
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You own a truck that has a trailer in the shape of a rectangular prism. It has a height of 15 m and a length of 40m, and a width of 10 m. If you wish to fill this trailer with 5m x 5m x 5m cubic boxes, how many boxes will fit into
the trailer
Answers
Answer:
48 boxes
Explanation:
First, find the volume of the rectangular prism (l*w*h) to find out how much it can hold.
15*40*10= 6,000
Then, find the volume of the cubic boxes (l*w*h) to find how much space each of them take up.
5*5*5= 125
Finally, divide the rectangular prism's volume by the boxes' to find out how many can fit inside.
6,000/125= 48 boxes
A) Find an equation for the line perpendicular to the tangent line to the curve y=x^3-4x+6 at the point (2,6)
-The equation is y=
b) What is the smallest slope on the curve? At what point on the curve does the curve have this slope?
-The smallest slope on the curve is
-The curve has the smallest slope at the point
c) Find equations for the tangent lines to the curve at the points where the slope of the curve is 8.
Answers
Answer:
f(x) = x³ - 4x + 6
f'(x) = 3x² - 4
a) f'(2) = 3(2²) - 4 = 12 - 4 = 8
6 = 8(2) + b
6 = 16 + b
b = -10
y = 8x - 10
b) 3x² - 4 = 0
3x² = 4, so x = ±2/√3 = ±(2/3)√3
= ±1.1547
f(-(2/3)√3) = 9.0792
f((2/3)√3) = 2.9208
c) 3x² - 4 = 8
3x² = 12
x² = 4, so x = ±2
f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6
6 = -2(8) + b
6 = -16 + b
b = 22
y = 8x + 22
f(2) = 6
y = 8x - 10
The equation perpendicular to the tangent is y = -1/8x + 25/4
-The smallest slope on the curve is 2.92
The curve has the smallest slope at the point (1.15, 2.92)
The equations at tangent points are y = 8x + 16 and y = 8x - 16
Finding the equation perpendicular to the tangentFrom the question, we have the following parameters that can be used in our computation:
y = x³ - 4x + 6
Differentiate
So, we have
f'(x) = 3x² - 4
The point is (2, 6)
So, we have
f'(2) = 3(2)² - 4
f'(2) = 8
The slope of the perpendicular line is
Slope = -1/8
So, we have
y = -1/8(x - 2) + 6
y = -1/8x + 25/4
The smallest slope on the curveWe have
f'(x) = 3x² - 4
Set to 0
3x² - 4 = 0
Solve for x
x = √[4/3]
x = 1.15
So, we have
Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6
Smallest slope = 2.92
So, the smallest slope is 2.92 at (1.15, 2.92)
The equation of the tangent lineHere, we set f'(x) to 8
3x² - 4 = 8
Solve for x
x = ±2
Calculate y at x = ±2
y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)
y = (2)³ - 4(2) + 6 = 6: (2, 0)
The equations at these points are
y = 8x + 16
y = 8x - 16
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40 POINTS
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each expression to the scenario it represents.
Answers
The price of a game that's been discounted 18% off its list price (x) = 0.18x
The price of a toy that sells for 18% more than the amount (x) needed to build the toy = 1.18x
The volume of water remaining in a tank after 3/10 of its original volume (x) is drained out = 7/10x
The total amount of flour in a bakery after receiving new stock equal to 3/10 if its current stock (x) = 13/10x
NTB Tires bought 809 tires from its manufacturer for $32 per tire. A - What is the total cost of NTB's purchase? B - Assume the store can sell all the tires at $85 each. What will be the store's gross profit, or the difference between its sales and costs?
Answers
Answer:
A. $25,888
B. $42,877
Step-by-step explanation:
The total cost is the product of the cost of each item and the number of items. The total profit will be the product of the profit on each item and the number of items.
ApplicationA) CostThe cost of 809 tires at $32 each is ...
809 × $32 = $25,888 . . . . . total cost of the purchase
B) ProfitThe profit the store makes on each tire is ...
profit = selling price - cost = $85 -32 = $53
The gross profit on 809 tires at $53 each is ...
total profit = 809 × $53 = $42,877 . . . . . gross profit
Let S be the universal set, where:
S= {1, 2, 3,..., 18, 19, 20}
Let sets A and B be subsets of S, where:
Answers
Answer:
Step-by-step explanation:
Therefore, the height of the tower is approximately 121.4 meters.
Estimate the square root to the nearest (a) integer and (b) tenth.
46−−√
Answers
Using rounding concepts, it is found that the estimates of the square root of 46 are given as follows:
a) Rounded to the nearest integer, the square root of 46 is of 7.
b) Rounded to the nearest tenth, the square root of 46 is of 6.8.
How we round a number?To round a number to the nearest integer, we have to look at the tenths digit.To round a number to the nearest tenth, we have to look at the hundredths digit.If the digit we look is of 5 or greater, we round one to the rounded digit.Using a calculator, we have that the square root of 46 is of 6.78.
7 > 5, hence rounded to the nearest integer, the square root of 46 is of 7.8 > 5, hence rounded to the nearest tenth, the square root of 46 is of 6.8.More can be learned about rounding concepts at https://brainly.com/question/17248958
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A farm raises cows and chickens. The farmer has a total of 46 animals. One day he counts the legs of all his animals and realizes he has a total of 156 legs. How many cows does the farmer have?
Thanks in advance, I really appreciate it :)
Answers
Answer:
Step-by-step explanation:
lets note a= chickens
b=cows
a+b=46
also = chickens has 2 legs, cow=4 legs
2a+4b=156..........we divide this equation by 2 so we can work with smaller numbers
a+2b=78 or we cam write a=78-2b
lets replace in the first equation a+b=46
78-2b+b=46
-b=46-78
-b=-32 multiply by -1
b=32
so we have 32 cows with 128 legs
a+32=46
a=14 chickens with 28 legs
what is 8,000 x 10 pls help
Answers
Answer:
80,000
Step-by-step explanation:
because you are just adding a extra zero
Hi, can you please help me solve question 2 please
Answers
1.
We need to find the roots of the next quadratic function:
\(z^2+8z+65\)Use the quadratic formula, which is given by the form ax²+bx+c:
\(\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}\)Replace the values using a=1, b=8 and c=65
\(\frac{-8\pm\sqrt[]{(8)^2-4(1)(65)}}{2(1)}\)\(\frac{-8\pm\sqrt[]{64-260}}{2}=\frac{-8\pm\sqrt[]{-196}}{2}=\frac{-8\pm14i}{2}\)Simplify the expression:
\(\frac{-8\pm14i}{2}=\frac{2(-4\pm7i)}{2}=-4\pm7i\)Therefore, the roots of the given expression are:
x = -4+7i
x= -4 - 7i
2.
We need to find the quadratic using the integer coefficients:
We have that the root are :
\(\frac{1}{2}\pm\frac{3}{2}i\)Use the quadratic form ax²+bx+c
The roots are the solution for the quadratic formula, so:
\(\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}=\frac{1}{2}\pm\frac{3}{2}i\)Then:
\(\frac{1\pm\sqrt[]{9i^2}}{2}=\frac{1\pm\sqrt[]{-9}}{2}\)So we have that 2a =2. then a =2/2
a=1
Also, -b = 1
b = -1
b²-4ac = -9
(-1)²-4(1)c = -9
-4(1)c = -9 -1
-4c = -10
Solve for c
c = -10/-4
c = 5/2
Therefore, with these values, we can replace the quadratic form and we will find the result
a=1
b = -1
c = 5/2
\(ax^2+bx+c\text{ =0}\)\(x^2-x+\frac{5}{2}=0\)So, the last quadratic is the result.
Write a money problem you can solve using sharing, joining, or separating
Answers
Answer:
Jonny have 100 dollars and he gave his 2 friend's $20 how much does he have left?
Step-by-step explanation:
100-40=60
Jonny has 60 dollars left
Find the area of the regular pentagon with apothem 3.5 and side. Not drawn to scale.
100 POINTS
SHOW WORK PLEASE
Answers
Answer:
52.5 inch square
Step-by-step explanation:
Area of pentagon: A = 1/2 × p × a;
where 'p' is the perimeter of the pentagon and 'a' is the apothem of the pentagon.
A = 1/2 x (6 x 5) x 3.5 = 1/2 x 30 x 3.5 = 15 x 3.5 = 52.5
The area of the regular pentagon with apothem 3.5 and side 6 is 52.5
What is the area of the regular pentagon?In Mathematics, a pentagon is a polygon with 5 sides. A pentagon can be classified as a regular pentagon and irregular pentagon. When all the sides and the angles of a pentagon are of equal measure, then it is called a regular pentagon.
How to find the area of the regular pentagonGiven the question, we need to find the area of the regular pentagon with apothem 3.5 and side 6.
In order to find the area, the formula to calculate the area of the regular pentagon is given by:
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
Where “s” is the side length. And “a” is the apothem length.Now,
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times s \times a\)
\(\text{Area of pentagon} =\sf \huge \text(\dfrac{5}{2}\huge \text) \times 6 \times 3.5\)
\(\text{Area of pentagon} =52.5\)
Therefore, the area of the regular pentagon with apothem 3.5 and side 6 is 52.5
Learn more about the area of a regular pentagon at:
https://brainly.com/question/32396768
please please help me
Answers
6.334*104=6.334*10<sup>4</sup>=
Answers
Answer:
what's that
Step-by-step explanation: