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3 years ago

12

A prism with a volume of 450 ft³ is dilated by a factor of 2. what is the volume of the dilated prism? enter your answer in the

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1 answer:

d1i1m1o1n [39]3 years ago

6 0

3600 cubed because thats what was the answer

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Paula spent 3/8 of her allowance on clothes and 1/6 on entertainment.What fraction of her allowance did she spend on other items

Stella [2.4K]

You need to create common denominators and then add and then subtract to get 22/48

7 0

3 years ago

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Solve the following expression when<br> t = 3 and s = 2<br> (12t) = (6s)<br> Enter

larisa86 [58]

From the solution of the expression, it can be seen that s = 6 when t = 3 while t = 1 when s = 2.

<h3>How do we solve a mathematical expression?</h3>

Given:

(12t) = (6s) ........................ (1)

When t = 3, we can solve for s from the expression in equation (1) by substituting t = 3 into the equation as follows:

12 * 3 = 6s

36 = 6s

s = 36 / 6

s = 6

When s = 2, we can solve for t from the expression in equation (1) by substituting s = 2 into the equation as follows:

12t = 6 * 2

12t = 12

t = 12 / 12

t = 1

Learn more about mathematical expression here: brainly.com/question/12401681.

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7 0

1 year ago

Similar Triangles

NeTakaya

Answer:

5.3 ft

Step-by-step explanation:

Because CD corresponds to BC, the scale factor from triangle ABC to triangle CDE, is 7/8. Now, DE corresponds to AB, so to get DE, we must multiply the value of AB by 7/8. 6 times 7/8 is 5.25, and rounding to the nearest tenth of a foot, the value of DE is 5.3.

3 0

2 years ago

What is the true solution to the equation below? In e^in x + in e^in x^2 = 2 in 8

mariarad [96]

To solve the given equation, w need to review some rules:
$(1) \ ln \ e = 1 \\ 
(2) \ ln \ b^{a} = a*ln \ b \\
(3) \ ln \ a + ln \ b = ln \ (ab) \\
(4) \ ln \ a - ln \ b = ln \ \frac{a}{b} \\$

The given equation is :
$ln \ e^{ln \ x} + ln \ e^{ln \ x^{2}} = 2 \ ln \ 8$
$ln \ x * ln \ e + ln \ x^{2} * ln \ e = 2 \ ln \ 8$ ⇒⇒⇒⇒ rule (2)
$ln \ x + ln \ x^{2} = ln \ 8^{2}$ ⇒⇒⇒⇒ rule (1) and rule (2)

$ln \ ( x* x^{2} ) = ln \ 64$ ⇒⇒⇒⇒ rule (3)
removing the nature logarithm from both sides

$x^{3} = 64 = 4^{3}$
∴ x = 4

So, the correct answer is option (2) ⇒⇒⇒⇒ x = 4

5 0

2 years ago

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Jeremy used a total of 16 sticks to support his vegetables. The sticks were 55cm and 75cm long and the sum of their lengths was

svetoff [14.1K]

9 longer sticks were used.
This is how i get it.
1. change m to cm, 1m =100cm
2. add both together, divide by 16 =8.125. Which means 1 of the stick should more than 8, and 1 of the other stick should be less than 8
3. substitute the equation
4.(55 x 7)+(75 x 9) =1060

5 0

3 years ago