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Elden [556K]
3 years ago
13

a 42 foot flagpole near the washington monument casts a shadow that is 14 feet long. At the same time, the washington monument c

asts a shadow that is 185 feet long, how tall is the washington monument?​
Mathematics
1 answer:
Lelu [443]3 years ago
3 0

Answer: 555 feet

Step-by-step explanation:

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X^2 - y^2 = 100
luda_lava [24]

Answer:

20

Step-by-step explanation:

Let's start by rewriting the second equation in terms of "x":

x+y=5

Subtract y from both sides:

x=5-y

Now, substitute "5-y" for "x" in the first equation:

(5-y)^2-y^2=100

Note that:

(a-b)^2=a^2-2ab+b^2

25-10y+y^2-y^2=100

Cancel out like terms:

25-10y=100

Subtract 25 from both sides:

-10y=75

Divide both sides by -10

y=\frac{75}{-10}=\frac{15}{-2}=-\frac{15}{2}

Now, substitute this value back into either of the equations to solve for x.

x+y=5\\x-\frac{15}{2}=5\\

Add 15/2 to both sides:

x=5+\frac{15}{2}\\x=\frac{10}{2}+\frac{15}{2}\\x=\frac{25}{2}

Now, find the difference:

x-y=\frac{25}{2}-(-\frac{15}{2})=\frac{25}{2}+\frac{15}{2}=\frac{40}{2}=20

8 0
3 years ago
The number of guppies that a fish tank can safely hold depends on its volume. A fish tank should have a volume of 576 cubic inch
andre [41]
The answer is 24 guppies. First find the volume of the tank, then divide that volume by 576 (you should get 8), then you multiply 3 guppies by 8 to get 2e
3 0
3 years ago
I alipou
Norma-Jean [14]

Answer:

After the sales tax

$235

before sales tax

210.32

Step-by-step explanation:

3 0
3 years ago
To eliminate the y terms, you can multiply the first equation by 5 and the second equation by what number?
gladu [14]

Step-by-step explanation:

the second equation should be multiplied by 9

6 0
3 years ago
If x2 =<br> 20, what is the value of x?
leva [86]

Answer:

the square root of 20 is 4.472135955

Step-by-step explanation:

4 0
3 years ago
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