A rectangle has a width of w . Its length is 4 more than twice the width. what is the area
Answers
Answer:
if the width is W and the length is 4 more of twice the width therefore the length is 2W+4
area = length × width
= 2W+4×W
=2W+4
Related Questions
In a right triangle, the sides that form the right angle are the legs; the longest side (opposite the right angle) is the hypotenuse. Some textbooks say that when two right triangles have congruent pairs of legs, the right triangles are congruent by the reason LL. In our work, LL is just a special case of one of the postulates in this section. Which postulate is that
Answers
Answer:
SAS postulate
Step-by-step explanation:
Given
LL postulate
Required
What type of postulate is LL
LL means 2 legs are equal.
When 2 legs of the right triangle are equal, then it means that two sides of the right triangle
In the actual sense, this postulate is SAS postulate where 2 sides are also equal.
Hence, the LL postulate is a special case of SAS
May someone help with this? Solve using the order of operations.
9/6 - 4(2/3 - 7/6)²
Answers
By algebraic handling, the expression 9 / 6 - 4 · (2 / 3 - 7 / 6)² is equivalent to the expression 1 / 2.
How to simplify an algebraic expression that involves power and rational expressions
In this problem we must simplify an expressions involving powers and rational numbers by algebra definitions and theorems:
9 / 6 - 4 · (2 / 3 - 7 / 6)² Given
9 / 6 - 4 · [[(2 · 6) - (3 · 7)] / (3 · 6)]² Subtraction of fractions with different denominators
9 / 6 - 4 · [(12 - 21) / 18]² Definition of multiplication
9 / 6 - 4 · (- 9 / 18)² Definition of subtraction
3 / 2 - 4 · (1 / 2)² Definition of simplification
3 / 2 - 4 · (1 / 4) Power properties
3 / 2 - 1 Definition of division / Existence of multiplicative inverse
3 / 2 - 2 / 2 Definition of division / Existence of multiplicative inverse
1 / 2 Subtraction of fractions with same denominator / Result
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find the area of a triangle whose base is 8 inches and whose height is 12 in.
(a) 96in.²
(b) 10in ²
(c) 20in.²
(d) 48in.²
Answers
Answer:
48in.²
Step-by-step explanation:
The formula for the area of a triangle is 1/2 x b x h
Since the b = 8 and the h = 12, substitute 8 and 12 for b and h.
1/2 x 8 x 12
4 x 12
48in.²
Answer:
d
Step-by-step explanation:
area= ½ × b × h
= ½ × 8 × 12
= ½ × 96
= ⁹⁶/²
= 48in²
¿De qué número 64 es el 80%?
Answers
Please help i need the answer asap!!!
if you know the answer please give it to me as soon as you can!!
Answers
Answer:
Choice b.Step-by-step explanation:
Replace (x, y) with (1, 1) and verify if the equations are correct.
You would ignore the x and y in the equations. Testing one of each pair.
a. 3 + 2 = 3, incorrectb. 7 + 2 = 9, correctc. 8 + 1 = 7, incorrectd. 8 - 2 = 4, incorrectIt is obvious that only b. is correct.
Determine whether the statement below is true or false. Justify the answer The points in the plane corresponding to [-2 5] and [-5 2] lie on a line through the origin. Choose the correct answer below. A. The statement is false [-2 5] and [-5 2] correspond to arrows that meet at right angles. B. The statement is false. If [-2 5] and [-5 2] were on the line through the origin, then [-5 2] would be a multiple of [-2 5] which is not the case. C. The statement is true [-2 5] and [-5 2] correspond to arrows pointing in precisely opposite directions and so are on the same line through the origin. D. The statement is true [-2 5] and [-5 2] are on a line through the origin since [-5 2] is a positive multiple of [-2 5].
Answers
A. The statement is false. [-2 5] and [-5 2] do not lie on a line through the origin, as they do not have the same slope. The arrows they correspond to meet at right angles, which means they form a line perpendicular to the origin.
B. Correct! The statement is false. [-2 5] and [-5 2] do not lie on a line through the origin, as they do not have the same slope. The arrows they correspond to meet at right angles, which means they form a line perpendicular to the origin.
C. Correct! The statement is true. [-2 5] and [-5 2] correspond to arrows pointing in precisely opposite directions and so are on the same line through the origin.
D. Incorrect. The statement is false. [-2 5] and [-5 2] do not lie on a line through the origin, as they do not have the same slope. The arrows they correspond to meet at right angles, which means they form a line perpendicular to the origin.
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A truck traveled 205 miles in 3 1/2 hours. The distance is the product of the rate and the time. To the nearest tenth, what is the average speed of the delivery truck? Enter your answer in the box. ____ miles per hour
Answers
Answer:
58.6 miles / hour
Step-by-step explanation:
The formula is
d= rt where d is the distance, r is the rate ( speed) and t is the time
205 miles = r * 3.5 hours
Divide each side by 3.5
205 miles/ 3.5 hours = r
58.57142857 miles / hour = r
To the nearest tenth
58.6 miles / hour
Answer:
58.6
Step-by-step explanation:
So the truck traveled 205 miles in 3.5 hours.
As given, the distance is the product of the rate and the time. In other words:
\(d\text{ mi}=r\cdot t\text{ hours}\)
Substitute 205 for d and 3.5 for t. Thus:
\(205\text{ mi} =r\cdot (3.5)\text{hours}\)
Divide both sides by 3.5 hours. Thus:
\(r=\frac{205\text{ mi}}{3.5\text{ hours}}\)
Divide 205 and 3.5:
\(r\approx58.6\text{ mi/hr}\)
A farmer wants to know the effect of using various amounts of fertilizer in relation to the yield of his crops. He subdivided a portion of his land into 10 separate, but essentially equal, plots. He divided the land so that all of the plots had equal exposure to sun, rain, and other environmental conditions. He randomly selected 2 of the 10 plots and spread 2 pounds of fertilizer over each of them. Then he randomly selected 2 of the remaining plots and spread 3 pounds of fertilizer over each of them. He continued with the last sets of plots in the same manner, spreading 4, then 5, then 6 pounds of fertilizer over each of them. Assume the conditions for regression inference have been satisfied. To construct the 90% confidence interval for the true slope of the population regression equation relating amount of fertilizer to yield.
Required:
How many degrees of freedom does the t-distribution have?
Answers
Answer:
Option b is correct answer
Step-by-step explanation:
The complete question is attached herewith
Solution
The equation of a line in given by
y=a +bx where
a is the Y- intercept and
b is the slope
From the given piece of information, we can derive that
coefficient of intercept = 10.1
coefficient of fertilizer= 1.150
Substituting the given values in above equation, we get -
y=10.1+1.150x
Option b is correct answer
Lucas is five inches taller than Tamika. The sum of their heights is 137 inches. How tall is Lucas?
Answers
Answer: 71 inches
Step-by-step explanation: minus five from 137, which is 132. The divide 132 by2 which is 66. This is Tamika's height. then add 5 inches on to get Lucas' height, wich is 71 inches.
The population of a town increased from 3700 in 2005 to 5900 in 2009. Find the absolute and relative (percent) increase.
Absolute increase:
Relative increase:
%
Answers
The absolute increase in population is 2200, and the relative increase is approximately 59.46%.
To find the absolute and relative increase in population, we can use the following formulas:
Absolute increase = Final value - Initial value
Relative increase = (Absolute increase / Initial value) * 100%
Given the population in 2005 is 3700 and the population in 2009 is 5900, we can calculate the absolute and relative increase as follows:
Absolute increase = 5900 - 3700 = 2200
To calculate the relative increase, we need to divide the absolute increase by the initial value and then multiply by 100:
Relative increase = (2200 / 3700) * 100% ≈ 59.46%
Therefore, the absolute increase in population is 2200, and the relative increase is approximately 59.46%.
The absolute increase represents the actual difference in population count between the two years, while the relative increase gives us the percentage change relative to the initial value. In this case, the population increased by 2200 individuals, and the relative increase indicates that the population grew by approximately 59.46% over the given period.
Note that the relative increase is expressed as a percentage, which makes it easier to compare changes across different populations or time periods.
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Find the probability of getting 2 or 4 or 6 when a dice is rolled
Answers
Answer:
The probability of getting a 2, 4, or 6 when a dice is rolled is 1/2, or 50%. This is because there are six possible outcomes when a dice is rolled, and three of them are favorable outcomes (2, 4, or 6). Therefore, the probability of getting a 2, 4, or 6 is 3/6, which simplifies to 1/2 or 50%.
A
B
C
D
37. What is the length of side P in the figure below?
6.7 cm
11 cm
15 cm
45 cm
20 cm
25 cm
P
Answers
The length of the side P is 15 cm. And the right option is C.
What is Pythagoras theorem?Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides.
To calculate the length of side P we use Pythagoras theorem's formula
Pythagoras formula:
a² = b²+c²......................... Equation 1Where:
a = Diagonal of the rectangleb = Length of the rectanglec = Width of the rectangleFrom the diagram,
Given:
a = 25 cmb = 20 cmc = p cmSubstitute these values into equation 1
25² = 20²+p²p² = 25²-20²p² = 225p = √225p = 15 cmHence, the right option is C 15 cm.
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A new fitness club holds an open house for new members. The club expects 6,500 people to sign up for a gym membership. If there is a percent error of 4%, what is the range of the number of people who are expected to sign up for a gym membership?
least number of change
greatest number of change
Answers
Answer:
the least number is 260 and the greatest number is 6240.
Step-by-step explanation:
4/100=A/6500 let A=the least number
A=4×6500/100
A=260
100%_4%=96%
96/100=B/6500
B=96×6500/100
B=6240
the vertices of ABC are A(-2, 2), (6,2), and (0,8). Its area is _ square units.
Answers
Answer:
T = 24 so it would be 24x24=576 square units
Step-by-step explanation:
How did we calculate this triangle?
The calculation of the triangle progress in two phases. The first phase is such that we try to calculate all three sides of the triangle from the input parameters. The first phase is different for the different triangles query entered. The second phase is the calculation of other characteristics of the triangle, such as angles, area, perimeter, heights, the center of gravity, circle radii, etc. Some input data also results in two to three correct triangle solutions (e.g., if the specified triangle area and two sides - typically resulting in both acute and obtuse) triangle).
Find the equation of the line that is parallel to the line x + 5y = 10 and passes through the point (1,3).
A)
y = -x +
16
5
B)
y = -5x - 5
16
y = 5x + 10
D)
y=-x-2
Answers
In a clinical trial of a cholesterol drug,390 subjects were given a placebo, and 23% of them developed headaches. For such randomly selected groups of 390 subjectsgiven a placebo, identify the values of n, p, and q that would be used for finding the mean and standard deviation for the number of subjects who develop headaches
Answers
Generally, 'n' represent the sample size, 'p' is the probability of success in a single trial, and 'q' is the corresponding probability of failure in a single trial.
The given problem suggests that the randomly selected group consists of 390 subjects. It follows that the sample size considered contains 390 subjects,
\(n=390\)The objective is to study the number of subjects who develop headaches.
So we declare here that the success for a trial is defined as a subject from the group being found to have developed headaches.
Given that 23% of the subjects given a placebo, develop headaches. So the probability that a randomly selected subject will develop headache, that is, the probability of success is given by,
\(\begin{gathered} p=23\text{ percent} \\ p=\frac{23}{100} \\ p=0.23 \end{gathered}\)Thus, the value of 'p' is obtained as,
\(p=0.23\)It is known that success and failure are complementary events, so the sum of their probabilities must be unity,
\(p+q=1\)Substitute the value and solve for 'q' as follows,
\(\begin{gathered} 0.23+q=1 \\ q=1-0.23 \\ q=0.77 \end{gathered}\)Thus, the value of 'q' is 0.77.
Find the effective rate for an $8,000 note with a discount rate of 10% for 90 days. (Round your answer to the nearest hundredth of a percent.)
A. 1.026%
B. 102.6%
C. 10.26%
D. 0.10%
Answers
The effective rate of the $8,000 note is (d) 0.10%
How to determine the effective rateFrom the question, we have the following parameters that can be used in our computation:
Principal, P = $8,000
Discount rate, r = 10%
Number of days, d = 90
The effective rate can be calculated using the following formula
Effective rate = (1 + (nominal rate ÷ number of compounding periods)) ^ (number of compounding periods) - 1
This can be expressed as
Effective rate = (1 + r/n)^n - 1
Substitute the known values in the above equation, so, we have the following representation
Effective rate = (1 + (10%/90))^(90) - 1
Evaluate
Effective rate = 0.10%
Hence, the effective rate is (d) 0.10%
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All I need is the answer and that’s all you have to give me thank you
Answers
We start by graphing the vertices and drawing the figure:
We have a triangle with base b = 5 (the distance between (3,-2) and (-2,-2)) and height h = 2 (the perpendicular distance from the base to the vertex (0,0)).
We can calculate the area of this triangle as:
\(A=\frac{1}{2}bh=\frac{1}{2}\cdot5\cdot2=5\)Answer: A = 5 units²
Drag and drop the relationships below to classify them as being a function or not a function?
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A relation that has more than one output of each input. That is not a function. A function only has one output of each input. Function a and function b are linear functions. Function a is represented by the table values. function b is represented by the equation y=3x+4.
Determine the domain of a piece wise function?Domain, is a term that is used to measure the independent variable’s values. Also known as the “x” values. It tells you what values of “x” are applicable in the function. What values will satisfy the function.
Determine the range of a piece wise function?Range, is a term used to measure the dependent variable’s values. Also known as the “y” values. It tells you what values of why does the graph of the function extends till.
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Alison rolls two number cubes 90 times. How many times is he going to get a sum of 3?
Answers
15
Step-by-step explanation:
Answer:
I think 30 im so sure
Step-by-step explanation:
uhm i think its 90 divided by 3 cuz i looked it up and got 30 so yea bye
if my bag of dxm dxm sxckers is known to have 4 root beer out of every 30 sxckers how many root beer sxckers would we expect out of 150? (the x i put because it thinks im saying bad words)
Answers
Answer:
20 root beers
Step-by-step explanation:
Answer: 20 rootbeer sxckers
Step-by-step explanation:
If 4 out of every 30 are rootbeer you then translate the ratio to 150
4/30=0.13333333333333
0.1333333333333*150=20
You could also just multiply both sides of 4/30 by 5 to get 20/150
2(4)+ 4(1)= 12
Solution
Answers
8+4=12
2times 4 is 8 + 4 times 1 is 4 which if you add those up you will get 12
Help me out please!!! no work needed just give the answer
*Brainliest if correct*
Answers
Answer:
150 degrees
Step-by-step explanation:
(Sorry, I know you don't want one but I posted this and then started editing it so hopefully you saw the answer already and I'm not delaying you or anything)
The interior of a quadrilateral always adds up to 360 degrees. y+80 = 180 degrees since they're on a straight line.
We have 3 angles: y = 100, 50, and 60.
360 - (100+50+60)
= 360 - 210
= 150
find the x- and y-intercepts of the function defined by f(x)=x to the power of 2+8x+12
Answers
Answer:
x intercept: (-1.75,0) y intercept: (0,14)
Step-by-step explanation:
you can just graph this equation in desmos to find the answer.
4. Which function has two
x-intercepts, one at
(5, 0) and one at (-4, 0)
f(x) = (x - 5)(x – 4)
f(x) = (x - 5)(x + 4)
f(x) = (x + 5)(x - 4)
f(x) = (x + 5)(x +4)
Answers
Answer: B) (x - 5)(x + 4)
Step-by-step explanation:
we’re looking for x intercepts at x = 5 and x = -4
x - 5 = 0; x = 5
x + 4 = 0; x = -4
(x - 5)(x + 4) is your answer
Matthew is saving money for a pet turtle the data in the table represents the total amount of money in dollars that he saved by the end of each week.
Answers
Janae is 4 years younger than Derek. In 7 years the sum of their ages will be 56. How old are they now?
Answers
Answer:
I think it's 85 years old
the average of nadine's six test is 77. The scores on the five of the test are 88,65,75,83 and 90. what is the score on the remaining test?
A. 91
B. 81
C. 71
D. 61
Answers
Answer:
The score on the remaining test is x = 61
Hence, option D is correct.
Step-by-step explanation:
Let 'x' be the score of the remaining test
The average score of Nadine's six tests = 77
so
Average score = (88+65+75+83+90+x) / 6
substituting average score = 77 in the equation to find 'x'
77 = (401 + x) / 6
401 + x = 77 × 6
x = 462 - 401
x = 61
Therefore, the score on the remaining test is x = 61
Hence, option D is correct.
i need help on thissss
Answers
Answer:
Below
Step-by-step explanation:
12:10 PM - ( 1 + 1 ) hr = 10:10 AM then subtract the 40 min to get 9:30 AM
Find the surface area of this rectangular prism. Be sure to include the correct unit in your answer.
Answers
Answer:
the answer is in the picture
