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4 years ago

2/5 as a whole number

Mathematics

2 answers:

n200080 [17]4 years ago

8 0

2/5 as a whole number is 0.4

ANTONII [103]4 years ago

5 0

.4 is your answer....................

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A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inc

Bond [772]

The relationship is that two times the volume of cylinder is volume of cone

Solution:

Given that, cylinder and a cone have the same diameter: 8 inches

Diameter = 8 inches

Radius is diameter divided by 2

$radius = \frac{diameter}{2}\\\\radius = \frac{8}{2} = 4$

Radius = 4 inches

Let us find the volume of cylinder and cone

Volume of cylinder:

$volume = \pi r^2 h$

Radius = 4 inches

The height of the cylinder is 3 inches

height = 3 inches

Substituting the values, we get

$volume = 3.14 \times 4^2 \times 3\\\\volume = 3.14 \times 16 \times 3\\\\volume = 150.72$

Thus volume of cylinder is 150.72 cubic inches

Volume of cone:

$volume = \frac{\pi r^2h}{3}$

Radius = 4 inches

The height of the cone is 18 inches

height = 18 inches

Substituting the values, we get

$volume = \frac{3.14 \times 4^2 \times 18}{3}\\\\volume = 3.14 \times 16 \times 6\\\\volume = 301.44$

Thus volume of cone is 301.44 cubic inches

What is the relationship between the volume of this cylinder and this cone?

Volume of cylinder is 150.72 cubic inches

Volume of cone is 301.44 cubic inches

On observing the volume of cylinder and cone, we find that two times the volume of cylinder is volume of cone

$2 \times \text{Volume of cylinder} = \text{Volume of cone}$

$2 \times 150.72 = 301.44\\\\301.44 = 301.44$

Thus the relationship between the volume of this cylinder and this cone is that two times the volume of cylinder is volume of cone

5 0

4 years ago

Write the interval using interval notation to describe the set of values shown above.

jenyasd209 [6]

The interval on the number line is (-∞, 2) U [3, ∞)

<h3>How to determine the interval?</h3>

From the number line, we have the following inequalities

x < 2 and x ≥ 3

In inequalities, < and > are represented by brackets i.e. ( and )

While ≤ and ≥ are represented by square brackets i.e. [ and ]

So, we have:

x < 2 and x ≥ 3 = 2) and [3

The intervals must be closed and opened with infinity symbols.

So, we have:

x < 2 and x ≥ 3 = (-∞, 2) and [3, ∞)

Replace and with U

x < 2 and x ≥ 3 = (-∞, 2) U [3, ∞)

Hence, the interval on the number line is (-∞, 2) U [3, ∞)

Read more about interval notation at:

brainly.com/question/13048073

#SPJ1

6 0

2 years ago

Finf the exact value of sin A and cos A where a = 9 and b = 10 and <c is a right angle

Katyanochek1 [597]

To solve for the longest side, the hypotenuse, you have to use the pythagorean theorem. It will be 10^2 + 9^2 = c^2. 100 + 81 =c^2.
c^2 = 181 so c = sqrt(181).
to find sin of A do opposite/hypotenuse which gives you 9/sqrt(181)
to find cos of A do adjacent/hypotenuse which gives you 10/sqrt(181)

8 0

3 years ago

Read 2 more answers

3/4(12x−9) +b4 = 5−3(2−3x)

Pavel [41]

Solve for x:

Take the root of both sides and solve.

All real numbers Interval Notation

(-infinity, infinity)

(Don’t actually write infinity, write the infinity symbol)

8 0

3 years ago

Help I don’t understand and I need this Done as soon as possible

Sonbull [250]

Answer:

y - 7 = -1/4(x-4)

Step-by-step explanation:

point slope is y-y₁=m(x-x₁)

(4, 7) and (8, 6)

I like to put it in the slope-intercept form first

so... 6 - 7/ 8-4 = -1/4 (slope)

6 = -1/4(8) + b

6/(-2) = -2/(-2) + b

-3 = b

so... y=-1/4x + -3

plug it in to point slope form

y - 7 = -1/4(x-4)

hopefully that made sense :)

3 0

3 years ago