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Lemur [1.5K]
2 years ago
11

What is the distance BC between the two horizontal parallel bars?

Mathematics
1 answer:
pochemuha2 years ago
8 0
One thing you should notice is that the transverse line and the parallel line form a right triangle. We are told that the base is 4 and the angle between the hypotenuse and the leg is 45°

From this we can solve for the second leg. Here's the list of trig functions

sinФ = opposite/hypotenuse
cosФ = adjacent/hypotenuse
tanФ = opposite/adjacent

Since we are only given the adjacent and we are trying to solve for the opposite leg, we can deduce we use tanФ. So we get

tan45 = x/4

Multiply by 4 to isolate x and we get

4*tan45 = x
Hopes this helps!
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An aquarium is in the shape of a cube. The aquarium can hold between 4096 cubic inches and 8000 cubic inches of water. What are
pantera1 [17]

Answer: The possible side lengths are either 16 inches or 20 inches

Step-by-step explanation: The aquarium is in the shape of a cube which suggests that, all dimensions (length, width and height) are equal.

If it can hold 4096 cubic inches of water, then the volume of water in it can be calculated as follows;

Volume = L x W x H

Knowing that all three dimensions are the same the formula can be re-written as;

Volume = L³

4096 = L³

Add the cube root sign to both sides of the equation

∛4096 = ∛L³

16 = L

Also if it can hold up to 8000 cubic inches of water, then the volume of water in it can be calculated as;

Volume = L³

8000 = L³

Add the cube root sign to both sides of the equation

∛8000 = ∛L³

20 = L

Therefore, if the aquarium can hold between 4096 and 8000 cubic inches of water, then the side lengths are either 16 inches or 20 inches

3 0
3 years ago
Calculate the length of AD give your answer to three signifcant figures
scZoUnD [109]
There’s no photo of the figure attached
4 0
2 years ago
The diameter of a circle measures 7 5/6 inches. What is the radius of the circle? Enter your answer as a mixed number in the box
andrew-mc [135]

The radius of the circle expressed as a mixed number is:  3\frac{11}{12} inches.

<h3>What is the Radius of a Circle?</h3>

Radius of a circle = half the measure of the diameter of a circle.

Given:

diameter of a circle = 7\frac{5}{6} inches

Therefore:

Radius of the circle = 1/2(7\frac{5}{6})

= 1/2(47/6)

= (1 × 47)/(2 × 6)

= 47/12

= 3\frac{11}{12} inches.

Therefore, the radius of the circle expressed as a mixed number is:  3\frac{11}{12} inches.

Learn more about radius of a circle on:

brainly.com/question/24375372

4 0
2 years ago
Complete the equation of the line through (1,4)(1,4)left parenthesis, 1, comma, 4, right parenthesis and (2,2)(2,2)left parenthe
Ivahew [28]

Answer:

y = -2x + 6

Step-by-step explanation:

Given

(x_1,y_1) = (1,4)

(x_2,y_2) = (2,2)

Required

Determine the line equation

First, we calculate the slope (m) using

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{2-4}{2-1}\\

m = \frac{-2}{1}

m = -2

The equation is then calculated using:

y - y_1 = m(x - x_1)

y - 4 = -2(x - 1)

Open bracket

y - 4 = -2x + 2

y = -2x + 2 + 4

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5 0
2 years ago
Read 2 more answers
Find the area and the perimeter of the shaded regions below. Give
PolarNik [594]

Based on the definition of <em>composite</em> figure, the area of the <em>composite</em> figure ABC formed by a semicircle and <em>right</em> triangle is approximately 32.137 square centimeters.

<h3>How to find the area of the composite figure</h3>

The area of the <em>composite</em> figure is the sum of two areas, the area of a semicircle and the area of a <em>right</em> triangle. The formula for the area of the composite figure is described below:

A = (1/2) · AB · BC + (π/8) · BC²     (1)

If we know that AB = 6 cm and BC = 6 cm, then the area of the composite figure is:

A = (1/2) · (6 cm)² + (π/8) · (6 cm)²

A ≈ 32.137 cm²

Based on the definition of <em>composite</em> figure, the area of the <em>composite</em> figure ABC formed by a semicircle and <em>right</em> triangle is approximately 32.137 square centimeters.

To learn more on composite figures: brainly.com/question/1284145

#SPJ1

8 0
1 year ago
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