3 years ago

How do you write a ratio statement of 8 fish to 2 cats?

Mathematics

2 answers:

dangina [55]3 years ago

4 0

Answer:

4 fish to 1 cat or 4:1

Step-by-step explanation:

8/2=4/1 by simplifying

sweet [91]3 years ago

4 0

Answer:

8:2

8 fish to 2 cats

8/2

Step-by-step explanation:

Those are the three ways you can write ratios.

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Two angles are supplementary. One angle is 16° less than three times the other. Find the measures of the angles

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Answer:

Step-by-step explanation:

x and y are supplementary angles, so their sum is 180°.

x+y = 180°

x is 16° less than three times y

x = 3y - 16°

(3y-16°) + y = 180°

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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

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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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