2 years ago

Suppose the following equation is true: 3^x=81^y What is the connection between x and y?

Mathematics

1 answer:

SCORPION-xisa [38]2 years ago

8 0

Answer:

x=4y

Step-by-step explanation:

3^x=3^4y

x=4y

am I correct?

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Gracie’s pool is circular with a diameter of 30 feet and height of 6 feet. How much water can the pool hold?

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2 years ago

How to solve 3.5x = 14.7

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Answer:

×=4.2

Step-by-step explanation:

3.5x=14.7

÷3.5 ÷3.5

x=4.2

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2 years ago

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Sumi Kato's savings account has a balance of $2508. After 24 years what will the amount of interest be at 3.5% compounded an

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3 years ago

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Joshua is 1.45 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 31.65 meters. He stands 26.2 meters away

Lena [83]

Answer:

The height of the tree=8.42 m

Step-by-step explanation:

We are given that

Height of Joshua, h=1.45 m

Length of tree's shadow, L=31.65 m

Distance between tree and Joshua=26.2 m

We have to find the height of the tree.

BC=26.2 m

BD=31.65m

CD=BD-BC

CD=31.65-26.2=5.45 m

EC=1.45 m

All right triangles are similar .When two triangles are similar then the ratio of their corresponding sides are equal.

$\triangle ABD\sim \triangle ECD$

$\frac{AB}{EC}=\frac{BD}{CD}$

Substitute the values

$\frac{AB}{1.45}=\frac{31.65}{5.45}$

$AB=\frac{31.65\times 1.45}{5.45}$

$AB=8.42m$

Hence, the height of the tree=8.42 m

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2 years ago

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8.04 * 100= 804

You move the decimal point two times to the right

8.04*101=812.04

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