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3 years ago

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Mathematics

1 answer:

Olin [163]3 years ago

6 0

Answer:

Step-by-step explanation:

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Find the length of the picture frame whose width is 3 inches and whose proportions are the same as 9- inches by 12-inch long fra

andrew11 [14]

Answer:

Step-by-step explanation: 9-

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3 years ago

In the figure, a square is inside another bigger square.

evablogger [386]

Answer:

Part 1) The length of the diagonal of the outside square is 9.9 units

Part 2) The length of the diagonal of the inside square is 7.1 units

Step-by-step explanation:

step 1

Find the length of the outside square

Let

x -----> the length of the outside square

c ----> the length of the inside square

we know that

$x=a+b=4+3=7\ units$

step 2

Find the length of the inside square

Applying the Pythagoras Theorem

$c^{2}= a^{2}+b^{2}$

substitute

$c^{2}= 4^{2}+3^{2}$

$c^{2}=25$

$c=5\ units$

step 3

Find the length of the diagonal of the outside square

To find the diagonal Apply the Pythagoras Theorem

Let

D -----> the length of the diagonal of the outside square

$D^{2}= x^{2}+x^{2}$

$D^{2}= 7^{2}+7^{2}$

$D^{2}=98$

$D=9.9\ units$

step 4

Find the length of the diagonal of the inside square

To find the diagonal Apply the Pythagoras Theorem

Let

d -----> the length of the diagonal of the inside square

$d^{2}= c^{2}+c^{2}$

$d^{2}= 5^{2}+5^{2}$

$d^{2}=50$

$d=7.1\ units$

7 0

3 years ago

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Simplify.

Dafna1 [17]

Answer:

A) 7x^3 + 13x^2 + 8x + 9

Step-by-step explanation:

(3x^2 + 2x + 7x^3) + (10x^2 + 6x + 9)

I like to line them up vertically

7x^3 +3x^2 + 2x

+ (10x^2 + 6x + 9)

-----------------------------------

7x^3 +13x^2 +8x +9

4 0

3 years ago

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Elsa wants to draw a second rectangle that is the same length but is 3 times as wide. What is the width of Elsa's second rectang

Art [367]

Answer:

Whatever the length and width of the first triangle are take them and multiply by three. Place them in their respective sides of the new rectangle. The answer should be 9.

Step-by-step explanation:

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3 years ago

Combine like terms: <br> -6s -11t -5s -3t

valkas [14]

Answer: -11s & -14t

Step-by-step explanation:

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3 years ago

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