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Answer:

The volume of a cylinder = 78 \mathrm{cm}^{3}78cm3

Let us substitute the volume of cylinder in the formula.

The formula for volume of a cone is V=\frac{\pi r^{2} h}{3}V=3πr2h                    (1)

The formula for volume of a cylinder is V=\pi r^{2} hV=πr2h              (2)

Substituting V=78V=78 in equation (2), we get,

\begin{gathered}\begin{array}{c}{V=\pi r^{2} h} \\{78=\pi r^{2} h}\end{array}\end{gathered}V=πr2h78=πr2h

Given that the cone has the same radius and height of that of the cylinder, let us substitute 78=\pi r^{2} h78=πr2h in equation (1)

\begin{gathered}\begin{array}{l}{V=\frac{\pi r^{2} h}{3}} \\{V=\frac{78}{3}} \\{V=26}\end{array}\end{gathered}V=3πr2hV=378V=26

Thus, the volume of a cone with the same radius and height of a cylinder is 26 \mathrm{cm}^{3}26cm3 .

Answer:

26 cm^3 I hope this helps!

Step-by-step explanation:

The type of bias that is used in this study is a non-response bias.

This refers to the type of bias that is used to show the non-responsiveness of subjects in a study when they drop out or do not complete a study.

Hence, we can see that from the given narration, we can see that there is a list of the 12,304 students and from this, 200 students are selected and only 78 are returned which shows that this is a non-responsive bias.

Read more about non-response bias here:

https://brainly.com/question/14286334

#SPj2

Answer:

4x=300

4y=400

y=100

x=75

6×75 =450

2×100=200

a=450

b=200

y for beef

x for vegetables

========================================================

Explanation:

Draw a horizontal line through 10 on the y axis. This is because R(x) = 10 is the same as y = 10. The output of the function is the y value.

See the diagram below.

The horizontal line crosses the parabola at two locations. From those points, draw a vertical line straight down to the x axis. Note how we land at x = 2 and x = 10. This means that R(2) = 10 and R(10) = 10.

Answer:( -3, 10)

Step-by-step explanation:

Answer:

Rs 1,437.5

Step-by-step explanation:

VAT = 15% = 15/100 × Rs 1250 = Rs 187.5

the price inclusive of VAT = Rs 1,250 + Rs 187.5

= Rs 1,437.5

5dgji

Step-by-step explanation:

how???? ... hope it is good

Answer:

{x | x ≤ -8}

Step-by-step explanation:

-7x ≥ 56

Divide each side by -7, remembering to flip the inequality since we are dividing by a negative

-7x/-7 ≤ 56/-7

x ≤ -8

Answer:

Part A. x is greater than y

Part B. y is greater than x.

Step-by-step explanation:

Part A: if x=10+y, this means that x is 10 greater than y, meaning that x would be greater than y. for example, if y=5, then x=10+5, which would be 15.

Part B: if x=10-y, this means that x is 10 less than y, meaning that y is greater than x. for example, if y=9, then x=10-9, which would be 1.

Answer: that is a less than sign or symbol

Step-by-step explanation:

Answer: Less than or Equal to

c is the answer

good luck  :))))

Step-by-step explanation:

see in picture .

you can find your answer

Answer:

Angle 1 and Angle 8 are alternate exterior angles.

Step-by-step explanation:

If this helps please mark as brainliest

Answer: 234 inches

Step-by-step explanation:

The billboard is 6 meters long and we are given the conversion factor for centimeters to inches.

To convert the length to inches therefore, convert the length from meters to centimeters first:

1 meter = 100 cm

6 meters would therefore be:

= 6 * 100

= 600 cm

1 cm = 0.39 inches so 600 cm is:

= 600 * 0.39

= 234 inches

Answer:

C. 96

Step-by-step explanation:

95 + 98 + 89 + 92 + 94 + 96 = 564

564/6 = 94

Answer:

C.) 96

Step-by-step explanation:

First of all, to find the average you need to add up the values given then divide the total by the number of values. Since we already have some of the values given which are 95, 98, 89, 92, and 94, we're going to add them up. Once you add them, you should get a total of 468. Now, we add another value that is in the answer choices because we're figuring out what Maggie needs to score on her science test to get a 94 as her final. We then would add 94 to the total which should give us 562. Next, we divide 562 by however many values we have which is 6. Once the total is divided by 6, the quotient should be 93.666.... As you can see, it doesn't give us 94, thus making A not the correct answer. You will continue to do this with the other answer choice questions until you get 94.

Here is a less wordy way to find the answer:

1.) Add up the values given

2.) Pick an answer choice and add the value to the total

3.) Divide by however many values are there

4.) Continue this until you find the correct answer

95 + 98 + 89 + 92 + 94 = 468

Pick an answer choice

468 + 96 = 564

Count the total values, including the answer choice

564 ÷ 6 = 94

Answer:

[tex]5 \sqrt{3i} [/tex]

Step-by-step explanation:

[tex] \sqrt{ - 108} - \sqrt{ - 3} [/tex]

[tex] \sqrt{ - 1} (108) - \sqrt{ - 3} [/tex]

[tex]i \times \sqrt{108} - \sqrt{ - 3} [/tex]

[tex]i(6 \sqrt{3} ) - \sqrt{ - 3} [/tex]

[tex]6i \sqrt{3} - \sqrt{ - 3} [/tex]

[tex]6i \sqrt{3} - i \sqrt{3} [/tex]

[tex]5 \sqrt{3i} [/tex]

Answer:

the common difference is 6.

Step-by-step explanation:

Given;

first term of an AP, a = -7

let the common difference = d

The third term is written as;

T₃ = a + 2d

The eight term is written as;

T₈ = a + 7d

The ratio of the eight term to third term = 7:1

[tex]\frac{T_8}{T_3} = \frac{7}{1} = \frac{a+ 7d}{a + 2d} \\\\7 = \frac{a+ 7d}{a + 2d}\\\\Recall, a = -7\\\\7 = \frac{-7+ 7d}{-7 + 2d}\\\\7(-7 + 2d) = -7+ 7d\\\\-49 + 14d = -7 + 7d\\\\14d -7d = -7 + 49\\\\7d = 42\\\\d = \frac{42}{7} \\\\d = 6[/tex]

Therefore, the common difference is 6.

Answer:

You could divide 4 from both sides first

Answer:

x = 40°

Step-by-step explanation:

using the angle sum theorem...

180 - 90 - 91 - 51 = 40

Answer:

Step-by-step explanation:

51+x+90+91=360(sum of four angles is always 360 degree)

232+x=360

x=360-232

x=128

Answer:

about 33.52 in^3

Step-by-step explanation:

Volume of composite figure = volume of cone + volume of hemisphere

Volume of a cone = 1/3(nr^2h)

n = 3.14

r = radius  

h = height

1/3 x 3.14 x 2^2 x 4 = 16.74 inches^3

volume of a hemisphere = (2/3) x (n) x (r^3)

n = 3.14

r = radius

2/3 x 3.14 x 2^3 =  16.74 inches^3

16.74 inches^3 +  16.74 inches^3 = 33.49

Answer:

only 11 days

Step-by-step explanation:

Step-by-step explanation:

a) A & B are tangent points and that makes angle AFB = 90°

b) Since line DB is a diameter, that makes arcADB a semicircular arc.

c) We know that A & B are tangent points which makes the figure AFBC a square.

Answer:

friend me on here and imma send you the link Step-by-step explanation:

Answer:

RSVUT IS THE CORRECT ANSWER

Answer:

Fernando does not have enough clay to finish the structure since, the expressions for the volume left are not the same.

Step-by-step explanation:

Let w be the length of the longest slab. Since each slab is 2 inches less than the one beneath it, we have the width of the other 3 slabs as w - 2, w - 2 - 2 = w - 4 and w - 4 - 2 = w - 6 respectively.

Since the base of each slab is a square and has thickness 2 inches, the volume of each slab from largest to smallest is thus 2w², 2(w - 2)², 2(w - 4)² and 2(w - 6)² respectively.

We have that we have half of the container of clay left after forming the first two slabs(which are the bottom-most slabs). Let V be the volume of each clay container. Since we have half left, that is V/2, we have used 2V - V/2 = 3V/2 to make the two bottom-most slabs.

So, 3V/2 = 2w² + 2(w - 2)²

= 2w² + 2(w² - 4w + 4)

= 2w² + 2w² - 8w + 8

= 4w² - 8w + 8

= 4(w² - 2w + 2)   (1)

Also we want to know if V/2 is equal to the volume of the two top-most slabs.

So, V/2 = 2(w - 4)² + 2(w - 6)²

= 2(w² - 8w + 16) + 2(w² - 12w + 36)

= 2w² - 16w + 32 + 2w² - 24w + 72

= 4w² - 40w + 104

= 4(w² - 10w + 26)

From (1) V/2 = 4(w² - 2w + 2)/3 ≠ 4(w² - 10w + 26)

Since the expressions for the remaining volume are not the same, Fernando does not have enough clay to finish the structure.

Given:

The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).

To show:

That the triangle ABC is a right angled triangle.​

Solution:

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

The vertices of a triangle ABC are A(-3,-4), B(16,-2) and C(13,-10).

Using the distance formula, we get

[tex]AB=\sqrt{(16-(-3))^2+(-2-(-4))^2}[/tex]

[tex]AB=\sqrt{(19)^2+(2)^2}[/tex]

[tex]AB=\sqrt{361+4}[/tex]

[tex]AB=\sqrt{365}[/tex]

Similarly,

[tex]BC=\sqrt{\left(13-16\right)^2+\left(-10-\left(-2\right)\right)^2}[/tex]

[tex]BC=\sqrt{73}[/tex]

And,

[tex]AC=\sqrt{\left(13-\left(-3\right)\right)^2+\left(-10-\left(-4\right)\right)^2}[/tex]

[tex]AC=\sqrt{292}[/tex]

Now, add the square of two smaller sides.

[tex]BC^2+AC^2=(\sqrt{73})^2+(\sqrt{292})^2[/tex]

[tex]BC^2+AC^2=73+292[/tex]

[tex]BC^2+AC^2=365[/tex]

[tex]BC^2+AC^2=(AB)^2[/tex]

Since the sum of the square of two smaller sides is equal to the square of the largest side, therefore the given triangle is a right angle triangle by using Pythagoras theorem.

Hence proved.

Answer:

$42.50

Step-by-step explanation:

discount reduces the price of the good

discount value = 15% x 50 = 0.15 x 50 = 7.5

sales price = 50 - 7.5 = 42.50

Answer:

(iv) 343

Step-by-step explanation:

[tex]\frac{1}{7} x = 49\\\\Multiply \ by \ 7 \ on \ both \ sides. \\\\7 \times \frac{1}{7} \times x = 49 \times 7\\\\x = 343[/tex]

Answer:

Step-by-step explanation:

1/7*x=49

x/7=49

x=49*7

x=343

Answer:

Step-by-step explanation:

i dont know