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DanielleElmas [232]
3 years ago
14

Find x and y. please help​

Mathematics
1 answer:
anygoal [31]3 years ago
8 0

Answer:

x = 4 \sqrt{2}

y = 4 \sqrt{6}

Step-by-step explanation:

\sin 45 \degree =  \frac{x}{8}  \\  \\ x = 8  \sin 45 \degree \\  \\ x = 8 \times  \frac{1}{ \sqrt{2} }  \\  \\ x =  \frac{8 \sqrt{2} }{2}  \\  \\ x = 4 \sqrt{2}  \\  \\   \\  \tan 30 \degree =  \frac{x}{y}  \\  \\  \frac{1}{ \sqrt{3} }  =  \frac{4 \sqrt{2} }{y}  \\  \\ y = 4 \sqrt{6}

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tia_tia [17]

Given:

Volume of a square base pyramid = 48 cubic inches.

Area of base = 36 sq. inches.

To find:

The height of the pyramid.

Solution:

Volume of a pyramid is

V=\dfrac{1}{3}Bh

Where, B is the base area and h is the height of the pyramid.

Putting V=48 and B=36, we get

48=\dfrac{1}{3}(36)h

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Therefore, the height of the pyramid is 4 inches.

3 0
3 years ago
A person invests 3000 dollars in a bank. The bank pays 6.75% interest compounded
stich3 [128]

Answer:

12.1 years

Step-by-step explanation:

We are given that

Principal amount, P=$3000

Rate of interest, r=6.75%  semi-annually

Amount, A=$6700

We know that

When r pays semi-annually

A=P(1+\frac{r}{n\times 100})^{nt}

Where n=2

Using the formula

6700=3000(1+\frac{6.75}{200})^{2t}

\frac{6700}{3000}=(1..03375)^{2t}

2.233=(1.03375)^{2t}

Taking ln on both sides we get

ln(2.233)=2t ln(1.03375)

2t=\frac{ln(2.233)}{ln(1.03375)}

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8 0
3 years ago
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4 0
3 years ago
Mia has a coin collection. A friend called Carmen asks her how many coins she has. Mia says that the 8 coins she has shown Carme
Murrr4er [49]

Answer:

160

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This is basically saying "8 is 5% of what number (total)"?

<u>Note:</u> 5% in decimal is 5/100 = 0.05

When translating a word statement into algebra, we need to note that "is" means "equal" and "of" means "multiplication".

Let's translate <u>"8 is 5% of what number (total)"</u> (letting total number of coins be n):

8 = 0.05 * n

<em>solving, gives us:</em>

<em>8 = 0.05*n</em>

<em>n = 8/0.05 = 160</em>

<em />

<em>Hence, total number of coins Mia has is 160</em>

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3 years ago
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