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3 years ago

10

If a cone-shaped hole is 3 feet deep and the circumference of the base of the hole is 44 feet what is the volume of the hole? Us

e 7 for m or t.

1 answer:

tiny-mole [99]3 years ago

4 0

The formula for finding a volume of a cone is
V=πr^2h(1/3)
Plug in the values the have given you and solve.
3.14(7)^2(3)(1/3)
approx. 153.86 cubic ft.

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Doors for the small cabinets are 17.5 inches long. Doors for the large cabinets are 2.7 times as long as the doors for the small

AleksAgata [21]

Answer:

3 large doors

Step-by-step explanation:

Given

$Board = 12ft$

Represent small door with S and large with L

$S = 17.5\ in$

From the question, we understand that;

$L = 2.7 * S$

So, we have that

$L = 2.7 * 17.5\ in$

$L = 47.25\ in$

Required

Determine the number of Large doors that can be cut from the board

To do this, we simply divide the size of the board by the size of the large cabinet

i.e.

$Number = \frac{Board}{L}$

$Number = \frac{12\ ft}{47.25\ in}$

Convert feet to inches

$Number = \frac{12 * 12\ in}{47.25\ in}$

$Number = \frac{144\ in}{47.25\ in}$

$Number = 3.04761904762$

Get the integer part of the decimal

$Number = 3$

Hence:

3 large doors can be gotten from the board

8 0

2 years ago

Jake is solving x^2-6x+5=0 by completing the square his steps are shown below step 1. x^2-6x=-5 step 2. x^-6x+9=-5+9 step 3. (x-

damaskus [11]

Answer:

Jake's error in step 3

Step-by-step explanation:

we have

$x^{2} -6x+5=0$

Complete the square

step 1

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2} -6x=-5$

step 2

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2} -6x+9=-5+9$

$x^{2} -6x+9=4$

step 3

Rewrite as perfect squares

$(x-3)^{2}=4$

Jake's error in step 3

He placed 6 instead of 3 in the left side

step 4

take square root both sides

$\sqrt{(x-3)^2} =\sqrt{4}$

step 5

$(x-3)=\pm2$

step 6

$x=3\pm2$

step 7

x=5 and x=1

7 0

3 years ago

X^{4} - 5x^(2) + 2x + 3 < 0

vlada-n [284]

the Answer is irrational number

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3 years ago

Find the diameter of Oo. A line that appears to be tangent is tangent. If your answer is not a whole

Trava [24]

Answer:

Diameter = 9

Step-by-step explanation:

Let the diameter be represented as x.

Based on the secant-tangent theorem, the following equation representing the relationship between the segments would be:

(16 + x)(16) = 20²

256 + 16x = 400

Subtract 256 from each side

16x = 400 - 256

16x = 144

Divide both sides by 16

x = 144/16

x = 9

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8 0

3 years ago

Find the angle that the line through the given pair of points makes with the positive direction of the x-axis

alexdok [17]

Answer:

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

Step-by-step explanation:

Given:

Let

A(x₁ , y₁) = (1 , 4) and

B( x₂ , y₂ ) = (-1 , 2)

To Find:

θ = ?

Solution:

Slope of a line when two points are given is given bt

$Slope(AB)=\dfrac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Substituting the values we get

$Slope(AB)=\dfrac{2-4}{-1-1}=\dfrac{-2}{-2}=1\\\\Slope=1$

Also Slope of line when angle ' θ ' is given as

$Slope=\tan \theta$

Substituting Slope = 1 we get

$1=\tan \theta$

$\tan \theta=1\\\theta=\tan^{-1}(1)$

We Know That for angle 45°,

tan 45 = 1

Therefore

$\theta=45\°$

Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.

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3 years ago