Write the formula for the volume of a cone V=1/3 π r^2 h in terms of h. Find the height h of a cone with volume V= 32π cm^3 and a radius r= 4cm

Answer: 20/9

Step-by-step explanation:

11000 litre of water is needed to fill the tank.

Answer:

solution given:

radius [r]=1.05m

Total height[H]=3.5m

height of cylinder[h]=2.45m

Now

The volume of the cylindrical part of tank=[tex]\pi r^2h=3.14*1.05^2 *2.45=8.4815m^3[/tex]

again

the volume of semi-spherical part of tank=[tex]\frac{2}{3} \pi r^{3} =\frac{2}{3}*3.14*1.05^3=2.4233m^3[/tex]

now

total volume=volume of the cylindrical part of tank + volume of semi-spherical part of tank

=8.4815+2.4233=10.9048 [tex]m^{3}[/tex]

we have

[tex]1m^3=1000litre[/tex]

[tex]10.9048m^3=1000*10.9048=10904.8\:litre[/tex]

Step-by-step explanation:

Answer:

c=400

Step-by-step explanation:

Use the perfect square formula:

ax^2+bx+c=0

x^2-40x+c=0

bring c to the other side

x^2-40x+___=-c

divide -40 by 2 then square it; 400

add 400 to each side

c=400

(x-20)(x-20)

The value of c that makes the trinomial a perfect square x²– 40x + c is 400.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

We have to find the  value of c that makes the trinomial a perfect square: x²– 40x + c

Lets use the perfect square formula:

ax²+bx+c=0

The given equation is given below.

x²-40x+c=0

Take the c term to the right hand side

x²-40x=-c

x²-40x+400=-c+400

c=400

Hence, the value of c that makes the trinomial a perfect square x²– 40x + c is 400.

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Answer:

k=8

Step-by-step explanation:

2k+5=21  (-5 on both sides to get rid of +5)

2k=16      (divide by 2 to get rid of that 2 in front of K)

k=8

Answer:

You could substitute the point (5,-4) into each equation

Step-by-step explanation:

x=5    y=-4

3x-2y=23

3(5)-2(-4)=23

15+8=23

23=23

2x+y=6

2(5)+(-4)=6

10-4=6

6=6

The points go into each equation which proves that the point (5,-4) is the solution.

(i don't know if I did this right, I apologize if I didn't

Answer:

i don't know sorry

Step-by-step explanation:

the scenario creates 2 similar triangles :

one main triangle with the house height the double floor distance and the double line of sight from the left point on the floor to the top of the house.

and the other triangle is the height of the tree, the single floor (from the left point to the tree) distance, and the single line of sight from the left point on the floor to the top of the tree.

similar triangles means : all angles are the same. and the side lengths of one triangle correlate to the corresponding side lengths in the other triangle by the same multiplication factor.

and that means that the floor distances of small and large triangle have the same ratio, as the view of line distance AND the height sizes.

we see : large triangle side / small triangle side = 2/1 = 2

and therefore, the same factor (2) applies to the heights.

so,

height of house / height of tree = 2

therefore,

height of tree = height of house / 2 = 150/2 = 75 ft

Explanation:

Let's say this school has 1000 seniors.

25% of this count is 0.25*1000 = 250 to indicate there are 250 seniors with blue eyes. Of this smaller count, 60% of them are girls with blue eyes. So there are 0.60*250 = 150 female seniors with blue eyes.

Divide that last number over the original value: 150/1000 = 0.15 = 15%

The probability that the senior selected randomly is a blue-eyed female is 15%.

It is given that 25% of the seniors class has blue eyes of the blue student 60% are females.

Probability refers to the occurrence of random events. Basically, it is the possibility to predict how likely events are to happen.

Probability of event = Number of favorable outcomes / Total number of outcomes.

Let's consider this school has 1000 seniors.

25% of this count

0.25 × 1000 = 250

Which shows that there are 250 seniors with blue eyes.

Similarly, 60% of them are girls with blue eyes.

So, there are 0.60 × 250 = 150

there are 150 female seniors with blue eyes.

Here, the probability that seniors selected randomly is a blue-eyed female

150/1000 = 0.15

                = 15%

Therefore, the probability that the senior selected randomly is a blue-eyed female is 15%.

Learn more about the probability here;

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Answer:

This is voluntary response bias because vocal supporters of later start times will be more likely to offer their opinion.

Step-by-step explanation:

Answer:

undercoverage bias

Step-by-step explanation:

Answer:

8.9k

Step-by-step explanation:

Perimeter is the area around the object.

1.8k - 5 + 3.5 + 6.1k + k + 1.5

Combine like terms:

1.8k + 6.1k + k = 8.9k

-5 + 3.5 + 1.5 = 0

Therefore 8.9k is the answer. You dont need to include the +0 because it will not add anything to the answer. In the most simplified form, the answer is 8.9k

Hope that helps

Answer:

Step-by-step explanation:

Answer:

huh Step-by-step explanation:

its really hard

Answer:

y = -x - 1

Step-by-step explanation:

(y - y1)/(x - x1) = (y1 - y2)/(x1 - x2)

(y - 4)/(x - (-3)) = (4 - (-1))/(-3 -2)

(y - 4)/(x + 3) = 5/-5

(y - 4)/(x + 3) = -1

y - 4 = -1(x + 3

y - 4 = -x - 3

y = -x - 1

Answer:

b = [tex]\frac{7}{12}[/tex]

Step-by-step explanation:

b + [tex]\frac{2}{3}[/tex] = 1 [tex]\frac{1}{4}[/tex] ← change to an improper fraction

b + [tex]\frac{2}{3}[/tex] = [tex]\frac{5}{4}[/tex]

Multiply through by 12 ( the LCM of 3 and 4 ) to clear the fractions

12b + 8 = 15 ( subtract 8 from both sides )

12b = 7 ( divide both sides by 12 )

b = [tex]\frac{7}{12}[/tex]

Answer:

The value of b is 7/12.

Step-by-step explanation:

Question :

Solve for b.

[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]

Enter your answer as a fraction in simplest form in the box.

[tex]\implies{\sf{b = \square}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

Solution :

[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]

Converting the mixed fractions into improper fraction.

[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{(1 \times 4) + 1}{4}}}}[/tex]

[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{(4)+ 1}{4}}}}[/tex]

[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{4+ 1}{4}}}}[/tex]

[tex]{\implies{\sf{b + \dfrac{2}{3} = \dfrac{5}{4}}}}[/tex]

Now, transporting LHS to RHS.

[tex]{\implies{\sf{b= \dfrac{5}{4} - \dfrac{2}{3}}}}[/tex]

Taking LCM of denominators and subtracting.

[tex]{\implies{\sf{b= \dfrac{(5 \times 3) - (2 \times 4)}{12}}}}[/tex]

[tex]{\implies{\sf{b= \dfrac{(15) - (8)}{12}}}}[/tex]

[tex]{\implies{\sf{b= \dfrac{15 - 8}{12}}}}[/tex]

[tex]{\implies{\sf{b= \dfrac{7}{12}}}}[/tex]

[tex]{\star{\red{\underline{\boxed{\sf{b= \dfrac{7}{12}}}}}}}[/tex]

Hence, the value of b is 7/12.

[tex]\begin{gathered}\end{gathered}[/tex]

Verification :

[tex]{\implies{\sf{b + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]

Substituting the value of (b=7/12)

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = 1 \dfrac{1}{4}}}}[/tex]

Converting mixed fractions into improper fraction

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{(1 \times 4) + 1}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{(4) + 1}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{4 + 1}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{7}{12} + \dfrac{2}{3} = \dfrac{5}{4}}}}[/tex]

Taking LCM of denominators in LHS and adding.

[tex]{\implies{\sf{ \dfrac{(7 \times 1) + (2 \times 4)}{12} = \dfrac{5}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{(7) + (8)}{12} = \dfrac{5}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{7 + 8}{12} = \dfrac{5}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{15}{12} = \dfrac{5}{4}}}}[/tex]

Cutting the fraction to simplest form.

[tex]{\implies{\sf{ \cancel{\dfrac{15}{12}} = \dfrac{5}{4}}}}[/tex]

[tex]{\implies{\sf{ \dfrac{5}{4}= \dfrac{5}{4}}}}[/tex]

[tex]{\star{\red{\underline{\boxed{\sf{LHS = RHS}}}}}}[/tex]

Hence Verified!

[tex]\underline{\rule{220pt}{3.5pt}}[/tex]

Answer:

0.25 pages per minute

Step-by-step explanation:

4 pages per 16 mins.

4/16 = 0.25

0.25 pages per minute

its a word equation, hopefully this helped!

Answer: 28/9 as a mixed number is 3 1/9

Step-by-step explanation:

Answer:

3 1/9

Step-by-step explanation:

3 times 9 is 27

27 plus 1 is 28

Answer:

1/-0.5x

Step-by-step explanation:

1/2 = 0.5

-0.5x = -1/2x

Inverse function is the same as 1/fuction, so inverse of -0.5x = 1/-0.5x

Hope that helps

Answer:

Use the coefficient of x as the slope and constant as the y-intercept

Step-by-step explanation:

Start by going to your graph and plotting your y-intercept. For example, if the y- intercept is -2, plot the point (0, -2). Then from there, you need to plot the slope (let's pretend that the slope is 2/3). From the intercept, you will go up two and right one. Then starting from that point, continue using the rise over run to plot your points and then draw your line.

Step-by-step explanation:

#3. 3^⅓ × 9^⅓ ......make the bases the same

3^⅓ × (3²) ^⅓

3^⅓ × 3^⅔ .....since the bases are the same, add the powers

3^ (⅓+⅔)

3^1

3

#4. ( x +6) ^ 3/5 = 8¹....multiply both sides by the reciprocal of 3/5

(x + 6) ^3/5 *5/3= 8^¹*5/4

x + 6 = 8^5/3

x + 6= ( 3√8)^5

x + 6 = 2^5

x + 6 = 32

x = 32 -6

x = 26

hope this helps!

Not sure though

D.

Explanation:

a landscape of farmland bisected by long straight roads"

divide into two parts.

hope I help you ☺️❤️

:) :>

Step-by-step explanation:

3 is ur answer

mmmmmmmmmmm

Answer:

2x-1=5x

-1=3x

1.A. we take away 2x from both sides

2.A they are the same sine they both have the same solution of -1/3

Hope This Helps!!!

Answer:

Rewrite one side by combining like terms                                                                       A yes the equations are equivalent meaning they have the same solution

Step-by-step explanation:

Hope this helped

Answer:

1.323

Step-by-step explanation:

We can find 30% of 1.89 by multiplying: 1.89 x 0.3 = 0.567

Then, we must subtract: 1.89 - 0.567 = 1.323

[tex]\text{Given that,}\\\\(x_1,y_1) = (0,0)~~ \text{and}~~ (x_2, y_2) = (-12,5)\\\\\text{Distance between two points,}\\\\d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\\\\\implies d = \sqrt{(-12-0)^2 + (5-0)^2}\\\\\implies d = \sqrt{(-12)^2 +5^2}\\\\\implies d =\sqrt{144+25}\\\\\implies d=\sqrt{169}\\\\\implies d = 13\\\\\text{So, the answer is C.}[/tex]

Answer:

x = 1

y = -4

Step-by-step explanation:

if you solve for y

y = -4x

plug this into the other equation

x - -4x = 5

simplify

5x = 5

x = 1

plug x into the fist equation

4(1)+y = 0

y = -4

Answer: Refer to Step-by-step explanation

Step-by-step explanation:

To find the MAD

Step 1 Find the mean of the data.

Step 2 Find the distance between each data value and the mean.

Step 3 Add the distances together from Step 2

Step 4 Divide the sum in Step 3 by the total number of values in the data.

1) MAD = 21.36

2) Mean = 56

MAD = 3.75

3) Mean = 57

MAD = 16.67

Answer:

y=0.68x + 0.22

Step-by-step explanation:

HOPE THIS HELPS :)