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vagabundo [1.1K]
3 years ago
14

A.

Mathematics
1 answer:
zhenek [66]3 years ago
4 0

Answer:

640 cm³

Step-by-step explanation:

Each prism has a volume of (4 cm) (4 cm) (20 cm) = 320 cm³.

There are two prisms, so the total volume is 640 cm³.

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What is a similar rectangle?
amid [387]
<h3>What are similar shapes?</h3>

When applying a scale factor, similar shapes are enlarged versions of one another. All of the matching angles and lengths in related shapes are equal and in the same ratio.

Rectangle is also a kind of shape. So, defining similar rectangle two rectangles must have proportional sides in order for them to be identical (form equal ratios) i.e., ratio of the two longer sides should equal the ratio of the two shorter sides.

Steps to find similar rectangle in math:

  1. Choose the pairs of corresponding sides on each side.
  2. Determine the sides' ratios.
  3. Verify that the ratios are identical.

To know more about similar rectangles, follow link:

brainly.com/question/17905285

#SPJ4

3 0
9 months ago
Write the equations in graphing form, then state the vertex of the parabola or the center and radius of the circle.
Sati [7]
All we need is to put this form in the vertex form f(x) = (ax+b)^2 + c

So we have <span>f (x)= 3x^2+12x+11 ....

Let's complete the square (if you aware of it)
</span><span>
f(x)= 3x^2+12x+11 = 3(x^2+4x)+11 = 3(x^2+4x+4-4)+11
=</span><span> 3([x^2+4x+4]-4)+11 = 3[(x+2)^2-4]+11 =3</span><span>(x+2)^2 - 12 +11 = 3</span><span><span>(x+2)^2 -1

so our form would be:

f(x)=3(x+2)^2-1


Here is a parabola with vertex of (-2,-1) and with positive </span> slope (concave up)





</span>

I hope that helps!



6 0
3 years ago
Terri invested $1500 in an account with an interest rate of 2.25% compounded continuously. How long will it take for Teri’s acco
melomori [17]

Answer:

53.51 years

Step-by-step explanation:

FV = PV e⁽ⁿˣ⁾

FV = Future Value = $5000

PV = Present Value = $1500

n = Interest Rate = 2.25%

x = time in years = ?

e = mathematical constant = 2.7183

So,

5000 = 1500 e⁽⁰°⁰⁰²⁵ˣ⁾

50 / 15 = e⁽⁰°⁰⁰²⁵ˣ⁾

㏑ (3.3333) = 0.0225x ㏑ (2.7183)

1.2040 = 0.0225x

x = 53.51 year

So, If compounded continuously at an APR of 2.25% the amount invested in an account of $1500 will accumulate to $5000 in 53.51 years.

7 0
2 years ago
A) What are the coordinates of the image of vertex G after a reflection across the line y = x?
Oksanka [162]

Answer:

b. (-5, 4)

Step-by-step explanation:

edge2020

3 0
2 years ago
Ms. Snork bought x sport shirts at<br> $29 each. The total cost was $87.
il63 [147K]
That means she bought 3 shirts total!
5 0
2 years ago
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