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Nikitich [7]
3 years ago
6

Dr. Howser recently purchased two new fish tanks (Tank A and Tank B) to place in the waiting area of his office. Each fish tank

holds exactly 120 gallons of water. Tank A will hold small fish and Tank B will hold large fish. Dr. Howser plans on buying 3 small fish for every 10 gallons of water in Tank A. He plans on buying 6 large fish for every 40 gallons of water in Tank B.
Mathematics
1 answer:
luda_lava [24]3 years ago
4 0

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In triangle ABC, angle bisectors line AD, line BE, and line CF meet at I. If DI = 3, BD = 4, and BI = 5, then compute the area o
Nikitich [7]

The area of triangle ABC is the amount of space on the triangle

The area of the triangle is 54.84 square units

<h3>How to determine the area of triangle ABC</h3>

Start by drawing the triangle (see attachment)

Next, calculate the measure of angle B using the following tangent ratio

\tan(B/2) = \frac 34

This gives

\tan(B/2) = 0.75

Take the arc tan of both sides

B/2 = 36.87

Multiply by 2

B = 73.74

Next, calculate the length of side AD using the following equation

AD = \tan(B) * BD

This gives

AD = \tan(73.74) * 4

AD =13.71

The area of the triangle is then calculated as:

Area = AD * BD

This gives

Area = 13.71 * 4

Area = 54.84

Hence, the area of the triangle is 54.84 square units

Read more about areas at:

brainly.com/question/24487155

8 0
2 years ago
What is the constant of proportionality in the equation?<br>y=5x<br>0<br>1<br>4 or <br>5
Ann [662]

Answer:

hope it helps...

Step-by-step explanation:

The value of the constant of proportionality is k=5k=5

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form y/x=ky/x=k or y=kxy=kx

The value of the constant k is equal to the value of the slope

In this problem we have

y=5xy=5x ------> is a linear direct variation

The slope is m=5m=5

therefore

The value of the constant of proportionality is k=5k=5

4 0
3 years ago
The cost of a pair of jeans was changed from $47 to $42.13. What was the percent change?
zhenek [66]

Answer:

10.36

Step-by-step explanation:

  1. $47 - $42.13 = $4.87
  2. ($4.87 ÷ $47) × 100 = 10.36%

6 0
3 years ago
The first term of a gemotetric sequence is -15 and the common ratio is 6 What is the twelfth term of the sequence
nikklg [1K]

Answer:

Step-by-step explanation:

a₁₂ = a₁r¹²⁻¹ = -15×6¹¹

8 0
3 years ago
The shampoo Eva likes to use costs $6 for a 24-ounce bottle. The conditioner she likes to use costs $12 for a 30-ounce bottle. H
lutik1710 [3]

Answer:

0.15

Step-by-step explanation:

6 divided by 24 equals 0.25

12 divided by 30 equals 0.4

0.4 minus 0.25 is 0.15

8 0
3 years ago
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