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Tanya [424]
3 years ago
11

Two pyramids are similar with a ratio of surface areas of 25:36. Find the volume of the larger pyramid given that the first has

a volume of 250m3.
Mathematics
1 answer:
ki77a [65]3 years ago
5 0

Answer:

432m^3

Step-by-step explanation:

The computation of the volume of the larger pyramid is shown below:

Let us assume the volume of the larger pyramid be x

Given that

The ratio of two pyramids is 25:36

We can say that

The Ratio of side = (The ratio of surface area)^\frac{1}{2} = \frac{5}{6}

Now

ratio of volume = (ratio of side)^3 =  \frac{5^{3}}{6^{3}} = 125 : 216

Based on the above information, the calculation is as follows

\frac{125}{216} = \frac{250}{x}

So,

x = \frac{250 \times 216}{125}

= 432m^3

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Elenna [48]
The sum of adjacent angles on a straight line would be 180°.

Since x is on a straight line,what we need to do is to deduct the remaining two angles,here's what the equation would be like:

180°-90°-30°
=60°

Thus,x=60°

hope it helps!
5 0
2 years ago
Read 2 more answers
What the answer now
stiks02 [169]

Answer:

35.6 yd²

Step-by-step explanation:

Area of ∆UVW can be solved if we know the lengths of 2 sides and their included angle.

We are Given just 1 side, UV (w). Use the law of sines to find UW (v).

Thus:

\frac{v}{sin(V)} = \frac{w}{sin(W)}

W = 137°

w = 19 yd

V = 180 - (137 + 22) = 21°  => sum of triangle

v = ??

Plug in the values and solve for v

\frac{v}{sin(21)} = \frac{19}{sin(137)}

Multiply both sides by sin(21)

\frac{v}{sin(21)}*sin(21) = \frac{19}{sin(137)}*sin(21)

v = \frac{19*sin(21)}{sin(137)}

v = 10 yd (approximated)

Find area of ∆UVW:

Area = ½*UV*UW*sin(U)

Area = ½*v*w*sin(U)

= ½*10*19*sin(22)

Area = 35.6 yd² (to nearest tenth)

7 0
3 years ago
Use a graphing calculator to determine the linear, quadratic, or exponential equation that best represents the data. For linear
Sav [38]

The linear equation that best represents the data is given by:

y = 1.35x - 2.11.

<h3>Why is the data best represented by a linear equation?</h3>

We have to consider two things:

  • The data increases over the entire interval, not having changes in the behavior related to increasing/decreasing, hence a quadratic equation would not be a good representation for the data.
  • The increase is best followed by a constant, especially for higher values, and not by a multiplier, hence a linear function is selected over an exponential function.

<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points are given as follows:

(1, 0.2), (2, 0.4), (3, 1.1), (4, 2.3), (5, 5.1), (6, 6.3), (7, 7.5).

Inserting these points into the calculator, the equation is given by:

y = 1.35x - 2.11.

More can be learned about linear equations at brainly.com/question/24808124

#SPJ1

3 0
1 year ago
Which expression is equivalent?
damaskus [11]

Answer:

C

Step-by-step explanation:

sqrt(a^7) = sqrt(a^6 * a)

4 0
2 years ago
Which number produces a rational number when added to 0.3?
Monica [59]
A rational number is an algebraic term expressed as a fraction. The fraction can also be in decimals but only if the decimal places are not repeating or not infinitely long. If they aren't, then these are called irrational numbers.

Let's try each of the choices:

A. The term 2/4 is a rational number. Now, when 0.3 or 3/10 is added to it, the sum would be 4/5 or 0.8. This is a rational number.

B. √7 is an irrational number because its exact value is 2.645751311.... Even if you add 0.3 to it, the answer would still be irrational

C. Obviously, this is an irrational number

D. The exact value of π is <span>3.14159...... If 0.3 is added to it, the answer would be 3.441592654. This is irrational.


Therefore, the answer is A.</span>
6 0
2 years ago
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