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3 years ago

Simplify -6 (a+8) Can someone help me?

Mathematics

1 answer:

ss7ja [257]3 years ago

3 0

= -6a - 48

Hope this helps!

(P.S. Let me know if you need an explanation)

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Find the missing length indicated. A) 48 B) 36 C) 100 D) 64

alexandr402 [8]

Answer:

Option D) 64

Step-by-step explanation:

see the attached figure with letters to better understand the problem

In the right triangle BCD find BC

Applying the Pythagoras Theorem

$BC^{2}=48^{2}+36^{2}\\BC^{2}=3,600\\BC=60\ units$

In the right triangle ABC

$cos(C)=BC/AC$

substitute the values

$cos(C)=60/(x+36)$ -------> equation A

In the right triangle BDC

$cos(C)=CD/BC$

substitute the values

$cos(C)=36/60$ -------> equation B

equate equation A and equation B

$60/(x+36)=36/60\\ \\(x+36)*36=60*60\\ \\36x+1,296=3,600\\ \\36x=3,600-1,296\\ \\36x=2,304\\ \\x=64\ units$

6 0

3 years ago

Isabelle, who is 62 inches tall, is standing beside a tree and casts a 93 inch shadow on the ground. The shadow of the tree she

Illusion [34]

Given:

Height of Isabelle = 62 inches

Shadow of Isabelle = 93 inches

Shadow of tree = 279 inches

To find:

The height of the tree.

Solution:

Let height of tree be x.

Ratio of height to shadow for Isabelle and tree are

$\dfrac{\text{Height of Isabelle}}{\text{Shadow of Isabelle}}=\dfrac{62}{93}$

$\dfrac{\text{Height of tree}}{\text{Shadow of tree}}=\dfrac{x}{279}$

The shadow of Isabelle and tree are proportional to their shadows. So, both ratios must be equal.

$\dfrac{x}{279}=\dfrac{62}{93}$

Multiply both sides by 279.

$x=\dfrac{62}{93}\times 279$

$x=62\times 3$

$x=186$

Therefore, the height of tree is 186 inches.

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4 years ago

Which is the same as moving the decimal point 3 places to the right in a decimal number?

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Multiplying the number by 1,000

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3 years ago

Find the area of the figure by subtraction.

Grace [21]

I guess the only way to use subtraction is to take the total area of the grid and subtract it by the total area around the figure. So it since it is a 10 by 10 grid, it would be 100 (since 10*10=100) minus the area around the shape.

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3 years ago

Aria´s height is 3 inches less than her brother´s height. her brother´s height is unknown.

mixer [17]

We can not find the answer unless we have the height of the brother.

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3 years ago

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