Answer:
The area of triangle B is [tex]2.72cm ^{2}[/tex]
Step-by-step explanation:
We will use the principle of similar triangles to solve the problem.
Since triangle A is just a scale version of triangle B, we can say that the two triangles are similar.
The area scale factor is the square of the length scale factor.
Given the length scale factor as 3,
The area scale factor will be 3 X 3 = 9 sq. cm
(Area of triangle A / Area of triangle B) = (length of side A / Length of side B) square
[tex]\frac{24.5}{ area of B}= 3^{2}[/tex]
[tex]\frac{24.5}{Area of B}= 9\\Area of B = \frac{24.5}{9}= 2.72 cm ^{2}[/tex]
The area of triangle B is [tex]2.72cm ^{2}[/tex]
Find the surface area of the prism. Write your answer as a decimal.
Answer:
382.5 in²
Step-by-step explanation:
2 triangles + 3 lateral sides
2(½ × 10 × 9) + (10 × 9) + (9 × 9) + (13.5 × 9)
90 + 90 + 81 + 121.5
382.5 in²
Answer:
[tex]382.5 {in}^{3} [/tex]
Step-by-step explanation:
hope this helps
Do 1,2 for 5-8 points.
Answer:
15 +16 +17
21+23+25
Step-by-step explanation:
How many solutions does this equation have?
0 = 2z − 2z
Answer:
infinitly many solutions
Step-by-step explanation:
0=2z-2z
2z-2z=0
so 0=0
infinitly many
please help will mark brainly
Answer:
1 hour and 5 minutes
Step-by-step explanation:
Because Sam started cycling at 2:40 and he stopped cycling at 3:45 so cycled for 1 hour and 5 minutes its asking for total time cycling so its 1 hour and 5 minutes
The average cost c (in dollars) to manufacture x t-shirts is given by the function c=7x+325x. Express the number of t-shirts in terms of the average cost. X=
Answer:
[tex]x=\dfrac{325}{c-7}[/tex]
Step-by-step explanation:
The average cost c (in dollars) to manufacture x t-shirts is given by the function:
[tex]c=\dfrac{7x+325}{x}[/tex]
We are required to express the number of t-shirts in terms of the average cost.
First, we cross multiply
cx=7x+325
Bring the terms containing x to the left hand side
cx-7x=325
Factorize out x
x(c-7)=325
Divide both sides by c-7
[tex]x=\dfrac{325}{c-7}[/tex]
Therefore, the number of t-shirts, x in terms of the average cost, c is:
[tex]x=\dfrac{325}{c-7}[/tex]
Solve for ttt. 2(t+1) = 10
Answer:
I hope this helps you. Have a great rest of your day!
The required, solution to the equation 2(t+1) = 10 is t = 4.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Expanding the left side of the equation, we get,
2t + 2 = 10
Subtracting 2 from both sides, we get,
2t = 8
Dividing both sides by 2, we get,
t = 4
Therefore, the solution to the equation 2(t+1) = 10 is t = 4.
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Expand the expression (p+4q)3(p+4q)^3 (p+4q) 3 left parenthesis, p, plus, 4, q, right parenthesis, cubed using the binomial theorem.
Answer:
p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)
Step-by-step explanation:
(p+4q)^3 -->
(3C3)(p^3) + (3C2)(p^2)(4q) + (3C1)(p)(4q)^2 + (3C0)(4q)^3 =
p^3 + 12(p^2)q + 48p(q^2) + 64(q^3)
Mitch runs 4 miles in 2x + 3 minutes, and Joy
runs 7 miles in 5x - 1 minutes. If each of them
ran for 1 minute, how many miles would they
run, combined (in terms of x)?
If £2000 is placed info a bank account that pays 3% compound interest per year, How much will be in the account after 2 years?
(Giving brainliest)
Answer:
1880
Step-by-step explanation:
The school that Eduardo goes to is selling tickets to a play. On the first day of ticket sales the school sold 7 senior citizen tickets and student tickets for a foral of . The school took in $190 on the second day by selling 14 senior citizen tickets and 6 student tickets. Find the price of a senior citizen ticket and the price of a student ticket
Answer:
Is there anything else to the question like a equation?
Step-by-step explanation:
what is the volume of a hemisphere with a radius of 6?
V
=
4
3
π
r
3
=
4
3
·
π
·
6
3
≈
904.77863
!!!!!TIMED REVIEW PLS ANSWER QUICKLY WILL LIST BRANLIEST!!!!
subtract six eighths minus two fourths
Answer:
1/4
That would be the answer because 6/8 minus 2/4 would equal 1/4
Subtract six eighths minus two fourths is the same as 6/8 - 2/4.
Find common denominators.
6/8
2/4 = 4/8
Subtract.
6/8 - 4/8
2/8
Simplify.
2/8 = 1/4
Therefore, the answer is 1/4
Best of Luck!
Raheem found a worm that was 9 centimeters long what is the length of the worm in in millimeters? Just answer the question in number form do not add millimeters when adding your answer
Answer:
90
Step-by-step explanation:
When converting from centimetres to millimetres you must multiply by ten. 9cm x 10 = 90mmThe graph of f(x) = x^2 was transformed to create the graph of g(x) = f(x) - 9. Which statement about the graphs is true?
A.The graph of g is a reflection of the graph of f across the x-axis.
B. The vertex of the graph of g is 9 units to the right of the vertex of the graph of f
C. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
D. The graph of g is a reflection of the graph of f across the y-axis.
Answer:
C. The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.
Step-by-step explanation:
It's a given that f(x) = x^2 so that means g(x) = f(x) - 9 means g(x) = x^2 - 9
in slope intercept form y = mx + b, b is the y-intercept
since g(x) is just f(x) with the y-intercept as -9 we know that the vertex of the parabola moves downwards 9 units
---
Hope this helps! :) If so, please mark my answer as brainliest
Function g(x) is the translation of function f(x). The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f(x). The correct statement is C.
Given,[tex]f(x)=x^{2}[/tex].
[tex]g(x) = f(x) - 9.[/tex]
From the above functions it is clear that the equation for the graph of g(x) will be,
[tex]g(x)=x^{2} -9[/tex].
What is intercept?The equation [tex]y=mx+c[/tex] is the general equation of any straight line where m is the gradient of the line (how steep the line is) and c is the y -intercept (the point in which the line crosses the y -axis).
Since The y intercept of function f(x) is zero.
Hence in the function g(x), it is 9 units below the intercept of the function f(x). Thus the correct option is C.
For more details on y-intercept follow the link:
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1. Remember, evaluate means to plug in the value for the specified
variable.
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Evaluate: (x - 3)2 + 2x - 4 for x = 5
Answer:
Value: 10
Step-by-step explanation:
1. Let us first write down the expression, changing it a bit to our convenience: 2(x - 3) + 2x - 4
2. Substitute this value of x into the expression as such:
2(5 - 3) + 2(5) - 4
3. Now we can approach this first part of the problem in two ways:
Option 1. distribute the 2 to the 5 and then the -3, in 2(5 - 3)
Option 2. subtract 3 from 5, then multiply 2 by that value
4. Given such, let us try the 2nd option for simplicity, and carry on with our calculations: 2(2) + 2(5) - 4
5. Now apply algebra and solve this expression:
2(2) + 2(5) - 4 = 4 + 10 - 4 = 14 - 4 = 10
Expand. Your answer should be a polynomial in standard form. (x-4)(x-6)
Answer:
x2+10x+24
Step-by-step explanation:
The expanded expression in standard form is: [tex]x^2 - 10x + 24[/tex]
To expand the expression (x - 4)(x - 6), you can use the distributive property to multiply each term in the first parentheses by each term in the second parentheses. Let's do that step by step:
(x - 4)(x - 6)
Step 1: Multiply x from the first parentheses by both terms in the second parentheses:
[tex]x * x = x^2\\x * -6 = -6x[/tex]
Step 2: Multiply -4 from the first parentheses by both terms in the second parentheses:
-4 * x = -4x
-4 * -6 = 24
Now, put everything together: (x - 4)(x - 6) = [tex]x^2 - 6x - 4x + 24[/tex]
Combine like terms: [tex]x^2 - 10x + 24[/tex]
So, the expanded expression in standard form is:
[tex]x^2 - 10x + 24[/tex]
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[2x + 3y = 1][5x - 4y = 14]
Answer:
x = 2
y = - 1
Step-by-step explanation:
Please see the step by step solution in the picture attached below.
Hope it can help you. Have a nice day!
What is cumulative frequency
Explanation:
Cumulative frequency analysis is the analysis of the frequency of occurrence of values of a phenomenon less than a reference value. The phenomenon may be time- or space-dependent. Cumulative frequency is also called frequency of non-exceedance.
Cumulative frequency is defined as a running total of frequencies. The frequency of an element in a set refers to how many of that element there are in the set. Cumulative frequency can also defined as the sum of all previous frequencies up to the current point.
Angle a =8x+6
Angle b= 4x+38
Solve for x and find the measure of angle b
Answer:
2(2x+19) would be your answer
Write down all the factors of 15.
Answer:
1,3,5,15
Step-by-step explanation:
Answer:
Step-by-step explanation:
Factors of 15:
1 , 3 , 5 , 15
Write the equation of a line that passes through the point (6,-3) and has a slope of -2
A. y= -2x+9
B. y= -3x+6
C. y= 6x-3
D. y=9x-2
Answer:
A
Step-by-step explanation:
You don't have to do anything, the only equation with a slope of -2 is A.
Helpp plsss!!!! I've to submit ASAP
what’s the answer for this
Answer:
63 yd²
Step-by-step explanation:
The area (A) of a parallelogram is calculated as
A = bh ( b is the base and h the perpendicular height )
Here b = 7 and h = 9, thus
A = 7 × 9 = 63 yd²
Mariska was comparing her options for investment. One choice she was looking at showed that her principal of $1,875 over 10 years would earn $1,125 in interest giving her a total of $3,000 at the end of the investment period. What interest rate is being used to calculate this investment?
Answer: 6%
Step-by-step explanation:
Principal= $1875
Time= 10 years
Interest= $1125
Rate = Unknown
Recall that,
Interest= (Principal×Rate×Time)/100
I = PRT/100
100I = PRT
R= (100×I)/PT
Rate = (100 × 1125)/(1875 × 10)
Rate = 112500/18750
Rate= 6%
The rate is 6%
A dilation centered at the origin maps the point (1,3) to the point (4,12). What is the scale factor of the dilation?
Answer:
4
Step-by-step explanation:
4,12
1,3
4/12=4
12/3=4
The point (1,3) is mapped to the point by a dilation with the origin as the center. The dilation's scale factor is 4.
Explain about the Dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original.
Finding the dilation's centre point is the first step in determining the scale factor. Next, we measure the distances between the centre point and various points on the preimage and the image. The ratio of these distances gives us the scale factor, as Math Bits Notebook accurately states.
The basic formula to find the scale factor of a dilated figure is: Scale factor is equal to the difference between the dimensions of the old and new shapes.
= 4,12
= 1,3
= 4/12 =4
= 12/3 =4
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log x + Log(x+5) = log 6
Answer:
logx+log(x +1)= log6
Step-by-step explanation:
Please find attached photograph for your answer.
Mr. Wilson bought a bag of bird seed and put half of it in the bird feeder.He split the other half equally among his 4 parrot birds how much of the bag did each pet bird eat
Answer:
Each parrot Bird ate 1/8 of a bag
Step-by-step explanation:
Here, we are interested in calculating the portion of the bag eaten by each of the pet birds
Firstly, we know he put 1/2 in the feeder, the amount not put in the feeder = 1-1/2 = 1/2 bag
Now this 1/2 bag was shared amongst 4 parrot birds, amount eaten by each of the parrot birds = 1/2 divided by 4 = 1/8 of the bag
Now move points C, D, and E on the circle, and note the interior angle measurements for the quadrilateral in the table below. Notice that m∠B is predetermined, so set that angle measure first.
Answer:
Explanation:
Plato
Find the area? Please help
Answer:
6.285
Step-by-step explanation:
π·22≈12.56637 divided by 2 (half) is 6.285
Answer:
12.56 units squared
Step-by-step explanation:
find the area of the whole circle:
formula for this is: pi multiplied by the radius which is squared.
The math for this is Below
3.14 x 2 squared
2 squared is 4
so 4 times 3.14 which is 12.56
A CONE IS 1/3 OF A CYLINDER, SO THE VOLUME FORMULA IS 1/3 THE CYLINDER. True or false
Answer:
yes that's the answer because the volume of a cylinder= πr²h and the volume of a cone =1/3πr²h
