Find the area of the triangle.
3).
Answer:
86.60254
Step-by-step explanation:
30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)
HELP I'LL GIVE 25 POINTS
A particular hybrid car travels approximately168 miLe on 4 gal of gas. Find the amount of gas required for 714 -miLe trip.
The car needs____ gallons of gas for 714 -miLe trip.
(Type an integer or a decimal.)
Answer:
Step-by-step explanation:
is this college
Scott wants to earn at least $37 trimming trees. He charges $8 per hour and pays $3 in equipment fees. What are the possible numbers of hours Scott could trim trees?
Use t for the number of hours.
Write your answer as an INEQUALITY solved for t.
help me solve this queston
TJohn's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.
And the correct graph is D.
To represent the given problem as a system of equations, we can use the following information:
John is 70 years younger than Sharon: j = s - 70
Sharon is 4 times as old as John: s = 4j
Let's plot the graph for this system of equations:
First, let's solve equation (2) for s:
s = 4j
Now substitute this value of s in equation (1):
j = s - 70
j = 4j - 70
3j = 70
j = 70/3
Substitute the value of j back into equation (2) to find s:
s = 4j
s = 4(70/3)
s = 280/3
The solution to the system of equations is j = 70/3 and s = 280/3
In the graph d, the solution to the system of equations is represented by the point (70/3, 280/3), which is approximately (23.33, 93.33) on the graph.
Therefore, John's age is approximately 23.33 years, and Sharon's age is approximately 93.33 years.
And the correct graph is D.
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
The probability that a point chosen at random lies on the shaded region is given as follows:
4/7.
How to calculate a probability?The parameters that are needed to calculate a probability are listed as follows:
Number of desired outcomes in the context of a problem or experiment.Number of total outcomes in the context of a problem or experiment.Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.
The area of the shaded region in this problem is given as follows:
4² = 16.
The total area of the figure is given as follows:
16 + 2 x 1/2 x 3 x 4 = 28.
Hence the probability is given as follows:
16/28 = 4/7.
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Identify the steps to find the value of the inverse ( Please show your work thank you) ↓
The value of the inverse of the equation is this: x³ -3 = y
How to find the inverse of the equationTo find the inverse of the equation follow these steps:
1. Replace H(x) with y.
y = (x + 4)³ - 1
2. Interchange the values of X and Y.
X = (y + 4)³ - 1
3. Find the cube root of both sides
x³ = y + 4 - 1
4. Find the value of y
x³ - 4 + 1 = y
x³ -3 = y
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What is the following quotient?
√120 divided by √30
02
4
O 2√10
O 3√10
Step-by-step explanation:
sqrt(120) / sqrt(30) = sqrt(120/30) = sqrt(4) = 2
The quotient of √120 divided by √30 is 2.
What is Square Root?Square root of a number is the value such that the value when multiplied to itself two times gives the original number.
It is denoted by the symbol √.
For example, square root of 16 is 4 since 4 × 4 = 16
The given numbers are √120 and √30.
We have to find the quotient when √120 is divided by √30.
Try to write each of the number as a product of perfect squares if possible.
√120 = √(4 × 30)
We know that √(ab) = √a √b
So, √120 = √4 × √30 = 2√30 (∵√4 =2)
√120 /√30 = 2√30 / √30 = 2
Hence the required quotient is 2.
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Simply (2^3)-2
0 - 1/64
0 1/64
0 2
0 64
The correct answer is,
\( \frac{1}{64} \)
Answer:
1/64
Step-by-step explanation:
when exponents are separated by parentheses, multiply them
so (2³)^-2 = 2^-6
whenever an exponent is negative, change into fraction form with one as the numerator and the other term goes into the denominator and the exponent now becomes positive
2^-6 = \(\frac{1}{2^6}\) = \(\frac{1}{64}\)
Find the probability that a randomly selected point within the square falls in the red shaded square
The probability that a randomly selected point within the square falls in the red shaded square is 1/16
What is probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. The certainty of an event to occur is 1 and it is 100% in percentage.
Probability = sample space /total outcome
sample space is the area of the red shaded square and the total outcome is the big square.
Area of red shaded square = 1 × 1 = 1unit²
area of the big square = 4 × 4 = 16 units²
Therefore the probability that a point selected falls on the red shaded square
= 1/16
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PLEASE ANSWER, I WILL MARK BRAINLYEST. IF YOU PUT AN ABSURD ANSWER I WILL REPORT. 50+ POINTS
Answer:
The umbrella will fit in, but there will be a lot of extra room.
Step-by-step explanation:
Remember the Pythagorean theorem:
x^(2) + y^(2) = n^(2)
where "x" and "y" are the legs of the right triangle and "n" is the hypotenuse
In this problem it is given that the sides (legs) are:
38in, and 24in
and diagonally across is 29in
so the hypotenuse is 29in
therefore we can form the equation:
38^(2) + 24^(2) = 29^(2)
without solving it is clear that
38^(2) + 24^(2) > 29^(2)
because 38 is a leg, but it is greater than 29, which means that 38 - 24 - 29 is not a Pythagorean triple,
but because 38 > 29, then the 29 in umbrella will fit into the suitcase, but it will not be a snug fit, there will be a lot of extra room
Answer:
see below
Step-by-step explanation:
The umbrella should fit
The umbrella is the diagonal in a right triangle so we can use the Pythagorean theorem
a^2+b^2 = c^2
18^2 + 24^2 = c^2
324 + 576 = c^2
900 = c^2
Take the square root of each side
sqrt(900) = sqrt(c^2)
30 =c
As long as the umbrella is less than 30 inches, it should fit
The umbrella is 29 inches so it should fit
PLEASE HELPP!!!!!
DUE SOON!
#24: Determine if a linear, exponential, or quadratic function is the best
model for the scenario described below?
A fashion influencer had 27,000 followers at
the beginning of January. Her followers began
to increase by 8% each month. Approximately
how many followers should she expect to have
by August?
A. Linear
B. Exponential
C. Quadratic
(show work if you can)
If the variable is in the exponent, then the function is exponential. If the variable is not in the exponent, then it is a quadratic equation. If the function does not have an exponent, then it is a linear function.
For you, it would be linear.
How many solutions does this system of equations have y=2x+5Y=x^3+4x^2+x+2
ANSWER:
D. 3 solutions
EXPLANATION:
Given:
\(\begin{gathered} y=2x+5 \\ \\ y=x^3+4x^2+x+2 \end{gathered}\)To find:
The number of solutions this system has
Let's equate the two equations and solve for x;
\(\begin{gathered} 2x+5=x^3+4x^2+x+2 \\ \\ x^3+4x^2-2x+x+2-5=0 \\ \\ x^3+4x^2-x-3=0 \end{gathered}\)Since the highest power of x is 3, therefore, the system of equations will have 3 solutions
Draw a dialation with center at the Irgun of the triangle with the vertices (2,0) ,(4-4), (6,2) scale factor of k =1.5
The sides of the dilated triangle are parallel to the sides of the original triangle, but their lengths are multiplied by the scale factor k.
What is triangle?A triangle is a closed two-dimensional figure with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many different areas of mathematics, science, and everyday life. A triangle is defined by its three vertices (or corners), which are the points where the sides of the triangle intersect. The three sides of the triangle are the line segments connecting the vertices. The three angles of the triangle are the angles formed by the intersection of two sides.
Here,
To dilate a triangle with a center at the origin, we need to multiply the coordinates of each vertex by the scale factor k. However, in this case, the center of dilation is not at the origin, but at the point Irgun. To perform the dilation, we can follow these steps:
Plot the original triangle with vertices (2,0), (4,-4), and (6,2).
Draw a line segment from the center of dilation Irgun to each vertex of the triangle.
Measure the distance from Irgun to each vertex, and multiply it by the scale factor k = 1.5 to find the new distance.
Use the new distances to construct the dilated triangle by drawing line segments from Irgun to points that are 1.5 times farther away from Irgun than the corresponding vertices of the original triangle.
The resulting dilation of the triangle with center at Irgun and scale factor k = 1.5 is shown below:
In this image, the original triangle is shown in black, and the dilated triangle is shown in blue. The center of dilation Irgun is marked with a red dot. Note that the new vertices of the dilated triangle are (0.5,0), (3,-6), and (7.5,3), which are 1.5 times farther away from Irgun than the corresponding vertices of the original triangle.
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Sadie can read 1/16 of a book in 1/2 hour. At this rate, how long would it take her to finish half of the book?
2 hours
4 hours
8 hours
16 hours
Answer:
16 hours is the right answer
Please answer need to turn it in please help me answer
Answer: Sir in what way would you like me to explain this
Step-by-step explanation:
2x² + 5x, what will it a Perfect Square? make
Answer:
2x² + 5x + c = 0
For this quadratic equation to have one double root, the discriminant must equal 0.
5² - 4(2)(c) = 0
25 - 8c = 0
c = 25/8
2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.
Explanation:2x² + 5x is not a perfect square.
A perfect square is an expression that can be factored into the square of a binomial. To determine if an expression is a perfect square, we can look at the coefficient of x². In this case, the coefficient is 2, which is not a perfect square.Learn more about Perfect Square here:https://brainly.com/question/34063927
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Determine the equation of the parabola that opens to the right, has focus (13,-6),
and a focal diameter of 28.
The equation of the parabola is\((y + 6)^2 = 4(x - 13)\), where the vertex is (13, -6) and the distance between the directrix and focus is 14.
To determine the equation of the parabola, we need to use the standard form for a parabola with a horizontal axis:
\((x - h)^2 = 4p(y - k)\)
Where (h, k) represents the vertex of the parabola, and p is the distance from the vertex to the focus (and also from the vertex to the directrix).
Given that the parabola opens to the right, the vertex will be on the left side. Let's assume the vertex is (h, k).
We know that the focus of the parabola is at (13, -6), so the distance from the vertex to the focus is p = 13 - h.
We are also given that the focal diameter is 28, which means the distance between the directrix and the focus is twice the distance from the vertex to the focus.
Therefore, the distance from the vertex to the directrix is d = 28/2 = 14.
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Aziza has a triangle with two sides measuring 11 in. and 15 in. She claims that the third side can be any length as long as it is greater than 4 in. Which statement about Aziza’s claim is correct?
Aziza’s claim is not correct. The third side must be between 4 in. and 26 in.
Aziza’s claim is not correct. The third side can be any length less than 26 in.
Aziza’s claim is not correct. The third side can be any length.
Aziza’s claim is not correct. The third side must create a scalene triangle.
Answer:
First choice.
Step-by-step explanation:
The third side cannot be 26 or greater ( as 11 + 15 = 26).
Answer:
it is A i think
Step-by-step explanation:
You call a plumber to install a new water heater in your house. It costs $815 for the water heater and $31 an hour for labor.
Write a linear equation that represents the total cost in dollars of the water heater installation if it requires x hours of labor.
Answer:
y = 31x + 815
Step-by-step explanation:
If x = hours of labor
and y = final cost
the Equation will be:
y = 31x + 815
continuity, for the function, determine why the function is discontinuous
The conditions for the continuity of a functions requires the function to be defined at a point. The specified function is not defined at x = π. Therefore, the reason why the function is discontinuous is first option
Condition 2 fails; f(π) does not exist
What are the conditions for the continuity of a function?The conditions for a function to be continuous at a point are;
The function must be defined at the point; f(a) existsThe limit of the function must exist at the point; \(\lim\limits_{x \to a}\) f(x) existsThe value of the limit at the point is equivalent to the value of the function at the point; f(a) = \(\lim\limits_{x \to a}\) f(x)The specified piecewise function can be presented as follows;
f(x) = sin(x), x < π, f(x) = tan(x), x > π
The above function is not defined for x = π, therefore, f(π), does not exist, and first condition above, and condition 2 in the option fails
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ANSWER QUICK FOR A. AND B. !
Answer: a=4
b=1600x
Step-by-step explanation:
find the standard deviation for this data set 9, 15, 13, 9, 15 round your answer to the nearest tenth
Answer:
3.0Step-by-step explanation:
Sample standard deviation is found by steps below.
Find the mean:
μ = (9 + 15 + 13 + 9 + 15)/5 = 12.2Find deviations from the mean and their squares:
9 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.2415 - 12.2 = 2.8 ⇒ 2.8² = 7.8413 - 12.2 = 0.8 ⇒ 0.8² = 0.649 - 12.2 = - 3.2 ⇒ (-3.2)² = 10.2415 - 12.2 = 2.8 ⇒ 2.8² = 7.84Sum the squares:
10.24*2 + 7.84*2 + 0.64 = 36.8Divide by N - 1 (N - number of samples):
36.8/(5 - 1) = 9.2Square root is the sample standard deviation:
σ = √9.2 = 3.0 (rounded)Complete the ratio table
Answer:
Sugar | Flour
¼ | 1
½ | 2
⅝ | 2½
4 | 16
Step-by-step explanation:
¼ part of sugar = 1 part flour (given)
Ratio of sugar to flour = ¼ : 1
Use this proportion to complete the table.
✔️Sugar to flour = ¼ : 1
½ : x = ¼ : 1
½/x = ¼/1
cross multiply
x*¼ = 1*½
x/4 = ½
Multiply both sides by 4
x = ½*4
x = 2
✔️Sugar to flour = ¼ : 1
x : 2½ = ¼ : 1
x : ⁵/2 = ¼ : 1
x/⁵/2 = ¼/1
Cross multiply
x*1 = ¼*⁵/2
x = ⅝
✔️Sugar to flour = ¼ : 1
4 : x = ¼ : 1
⁴/x = ¼/1
Cross multiply
x*¼ = 1*4
x/4 = 4
Multiply both sides by 4
x = 4*4
x = 16
If cotangent of theta is < 0, in which quadrant(s) could the terminal side of
angle theta lie?
Q2 and Q4
02 and 03
Q3 only
04 only
Answer:
Q2 and Q4
Step-by-step explanation:
Trigonometric functions and quadrants:
In x is in the first quadrant, cos(x) > 0 and sin(x) > 0.
In x is in the second quadrant, cos(x) < 0 and sin(x) > 0.
In x is in the third quadrant, cos(x) < 0 and sin(x) < 0.
In x is in the fourth quadrant, cos(x) > 0 and sin(x) < 0.
Cotangent:
The cotangent is the cosine divided by the sine.
Cotangent negative, which quadrants?
It is negative when sine and cosine have opposite signals. So in the second and the fourth quadrant, that is, Q2 and Q4.
A teacher decides to survey the students in her classes to find out their opinion on the new menu in the cafeteria. Identify the population and the sample. Give a reason why the sample could be biased?
The number 100 is multiplied either by 2 or by 3, then the result is increased either by 1 or by 2, and then the new result is divided either by 3 or by 4. If the final result is a natural number, what is this final result?
Answer:
67
Step-by-step explanation:
This is the right answer
Mow for Money!
Do you need extra money? Have you thought about mowing lawns or landscaping? But if you did this, how
much should you charge?
Your neighbors, the Pascals, want to hire you to cut their lawn, and you need to quote them a price. Here's
what their lawn looks like.
Lawn
11 yards
7 yards
10 yards
How will you charge?
There are two ways you can charge them.
1. A flat rate
2. A rate per square unit
Cassandra has a rectangular Panto in her backyard the painter is 12.74 m long and 5.45 m wide round the length and width to the nearest whole number then estimate the perimeter of cosines is Pantel write an equation to model your work
The perimeter of the rectangular Panto will be 38 meters.
How to calculate the perimeter?It is important to note that the perimeter of a rectangle is calculated as:
= 2(length + width)
In this case, Cassandra has a rectangular Panto in her backyard the painter is 12.74 m long and 5.45 m wide.
We are told to convert the dimensions to the nearest whole numbers. This will be 13m and 6m. Therefore, the perimeter will be:
= 2 (length + width)
= 2 13 + 6)
= 2(19)
= 38m.
The perimeter is 38m.
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Combine the like terms to create an equivalent expression:
\large{-k-(-8k)}−k−(−8k)minus, k, minus, left parenthesis, minus, 8, k, right parenthesis
Answer:
7k
Step-by-step explanation:
−k−(−8k) = -k +8k = 7k
PLEASE HELP VERY URGENT!!!
THE ANSWER IS IN THE PHOTO