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jolli1 [7]
2 years ago
14

Given the similar pyramids pictured below.

Mathematics
1 answer:
Citrus2011 [14]2 years ago
5 0

Answer:

  1400 cm²

Step-by-step explanation:

The ratio of volumes of similar figures is the cube of the scale factor. Here, that is 3125/675 = sf³. That means the scale factor is ∛(3125/675) = 5/3.

The ratio of areas of similar figures is the square of the scale factor. Here, that is (5/3)² = 25/9.

The area of the larger pyramid is 25/9 times the area of the smaller one:

  A = (25/9) × 504 cm² = 1400 cm²

The surface area of pyramid 2 is 1400 cm².

_____

<em>Additional comment</em>

You don't need to find the scale factor. You can jump directly to the fact that the surface area multiplier is the 2/3 power of the volume ratio.

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AB is tangent to circle O at B. What is the length of the radius r
steposvetlana [31]

check the picture below

Diane at your service :)

4 0
3 years ago
What is 4x -1/2<br> =x+ 7
gogolik [260]

Answer:

Step-by-step explanation:

Bringing like terms on one side

4x - x = 7 + 1/2

3x = 7.5

x = 7.5/3

x = 2.5

5 0
3 years ago
Read 2 more answers
X intercept f(x)=(x+4)^2
natali 33 [55]

Answer:

<h2>-4</h2>

Step-by-step explanation:

Given the function f(x)=(x+4)², <u>the x intercept occurs at f(x)  = 0,</u> substituting f(x) = 0 into the given equation to get the value of x we have;

0 = (x+4)^{2} \\

Taking the square root of both sides

\sqrt{(x+4})^{2}  = \sqrt{0}\\ x+4 = 0\\

Subtracting 4 from both sides of the equation

x+4-4 = 0-4\\x = -4

Therefore the x intercept of the equation is -4

4 0
3 years ago
How can I find the x value?<br>How can I explain it?<br><br>PLEASE ANSWER THE QUESTION!!!
Jlenok [28]
Answer:

Step-by-step explanation:
Discussion
What you have presented is called a cyclic quadrilateral. A cyclic quadrilateral is a 4 sided figure whose angles (4 of them) all touch the circumference of a circle.

Here's what you want to know. Two angles that are opposite each other are supplementary (they add to 180 degrees)

Equation
x + 80 = 180 Subtract 80 from both sides.

Solution
x + 80 - 80 = 180 - 80 Combine
x = 100

Answer
x = 100

8 0
2 years ago
Find a ·
Svet_ta [14]
<span>a · b = |a| |b| cos(theta)
=|a| * 14 * cos(45)

</span>a · b |a| =3 
=>
|a| * 14 * cos(45) * |a| =3
|a| &sup2; =3/(14cos(45))
|a| = sqrt(3/(14cos(45)))
=0.63868 (approx.)

4 0
3 years ago
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