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Sedbober [7]
3 years ago
5

Someone please help!!!!

Mathematics
1 answer:
aleksley [76]3 years ago
8 0

Answer:

\large\boxed{\dfrac{6}{5}}

Step-by-step explanation:

<h3>METHOD 1:</h3>

The formula of a slope:

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

From the graph we have two points (<em>picture #1</em>)

(3, 4) and (-2, -2).

Substitute:

m=\dfrac{-2-4}{-2-3}=\dfrac{-6}{-5}=\dfrac{6}{5}

<h3>METHOD 2:</h3>

slope=\dfrac{rise}{run}=\dfrac{\Delta y}{\Delta x}

(<em>picture#2</em>)

rise=6;\ run=5

Substitute:

slope=\dfrac{6}{5}

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The small cylinder can fill the big cylinder to a height of 5cm. The small cylinder has a diameter of 9cm and a height of 17cm.
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Answer:

8.3 cm

Step-by-step explanation:

1. Find the volume of the small cylinder (volume of a cylinder = πr² · h)

π(4.5²) · 17 = 1080.945 cm³

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πr² · 5 = 1080.945

3. Divide both sides by 5

πr² = 216.189

4. Divide both sides by π (3.14)

r² = 68.85

5. Square root both sides

r = 8.3 cm (rounded to the nearest tenth)

4 0
3 years ago
An observer (0) spots a plane flying a 35° angle to his horizontal line of the sight. If the plane is flying at an altitude of 1
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6 0
3 years ago
Ms. Alonzo ordered 5,000 markers for her store. Only
viva [34]

Answer:

500

Step-by-step explanation:

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500 x 10 = 5000

8 0
3 years ago
A child designs a flag in the shape of a rhombus, as shown in the diagram below. Which expression can be used to determine the s
Lady bird [3.3K]
<span>Which expression can be used to determine the side length of the rhombus?

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 Explanation:

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 Cos(</span>α)=Adjacent leg/Hypotenuse
<span>
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<span> Adjacent leg=(20 in)/2=10 in
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 2. When you substitute these values into the formula, you obtain:
</span>
 Cos(α)=Adjacent leg/Hypotenuse
<span> Cos(30°)=10/x

 3. Therefore, you obtain the expression to determine the side length of the rhombus by clearing the hypotenuse "x", as below:

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4 years ago
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