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Which triangle is a reflection of triangle ABC over the x-axis?

A) DEF

B) GHI

C) JKL

D) MNO

The volume [tex]V_c[/tex] of a cone  with base radius [tex]r_c[/tex] and height [tex]h_c[/tex] is

[tex]V_c = \dfrac{1}{3}\pi r_c^2 h_c[/tex]

Similarly, the volume [tex]V_s[/tex] of a sphere with radius [tex]r_s[/tex] is

[tex]V_s = \dfrac{4}{3}\pi r_s^3[/tex]

We know that [tex]V_c=V_s[/tex] and that [tex]h_c=96[/tex]

So, we can set up the following equation:

[tex]\dfrac{96}{3}\pi r_c^2=\dfrac{4}{3}\pi r_s^3[/tex]

We can simplify the common denominator 3, and pi appearing on both sides:

[tex]96r_c^2=4r_s^3[/tex]

We can divide both sides by 4:

[tex]24r_c^2=r_s^3[/tex]

Without further information, this is all we can say: the cubed radius of the sphere is the same as 24 times the squared radius of the cone.

The values for the radius of the cone and the sphere is 24 units.

It is given that a cone and a sphere have the same volume.

It is required to find the radius of the cone and sphere if the height of the cone is 96.

It is defined as a three-dimensional space enclosed by an object or thing.

We know the volume of the cone:

[tex]\rm V_c = \pi R^2\frac{H}{3}[/tex]

Where R is the radius of the cone and H is the height of the cone.

And the volume of the sphere:

[tex]\rm V_s = \frac{4}{3} \pi r^3[/tex]

Where r is the radius of the sphere.

[tex]\rm V_c = V_s[/tex]      (From the question)

[tex]\rm \pi R^2\frac{H}{3}=\rm \frac{4}{3} \pi r^3[/tex]

[tex]\rm \pi R^2\frac{96}{3}=\rm \frac{4}{3} \pi r^3[/tex]    ( H = 96 units)

[tex]\rm 32R^2=\rm \frac{4}{3} r^3[/tex]

[tex]\rm 24R^2= r^3[/tex]

We are assuming that R = r

[tex]\rm 24r^2= r^3[/tex]

r = 24 units and

R = 24 units.

Thus, the values for the radius of the cone and the sphere is 24 units.

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Answer:

B.) 84,500

Step-by-step explanation:

$82,500 is the morgage right now. but an additional $2,000 is added.

82,500 + 2,000 = 84,500

$84,500

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Answer:

Divide ten by the price of the apples.

I think the answer is B and C

Answer: fr and nr, rc and ro, no and nm

Step-by-step explanation: you just have to look at each of the lines and see if they are equal or not i hope this helps :))

The answer should be 1/2.

Answer:

The answer is 1/2!

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The multiples of 6 are : 6, 12, 18, 24, 30, ......

The multiples of 2 are : 2, 4, 6, 8, 10, 12, 14, 16, 18, 20,  ......

The multiples of 9 are : 9, 18, 27, 36, ......

The common multiple is 18

The least common multiple is 18

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☺.. h̾o̾p̾e̾ i̾t̾ h̾e̾l̾p̾s̾ y̾o̾u̾.. ☺

first change them into improper fractions

(2×3)+1/2 -->7/2

(3×1)+1/2--> 7/3

7/2-7/3 now find the least common denominator (lcd) it is 6

2 goes into 6, 3 times,7×3 =21--> 21/6

3 goes into 6, 2 times, 7×2=14 --> 14/6

21/6-14/6=7/6

Answer:

Step-by-step explanation:

Use the Pythagorean theorem:

[tex]c^2=a^2+b^2[/tex]

a,b - legs

c - hypotenuse

We have c = x, a = 7 and b = 24. Substitute:

[tex]x^2=7^2+24^2\\\\x^2=49+576\\\\x^2=625\to x=\sqrt{625}\\\\x=25[/tex]

Answer:

option C

ȳ = 9

Step-by-step explanation:

ȳ (yBar) is used to represent mean value of y

Mean, which is the average score of the population on a given variable

It is represented by = ( Σ Xi ) / N

There are two steps to calculate mean value

sum of all numbers = 3 + 7 + 8 + 11 + 16

                                = 45

    2. Divide by how number of ys (there are 5 numbers)

45 / 5 = 9

So ȳ = 9

Do 55,427 divided by 67,103 which is 0.825998838 then multiply that by 100 to get 82.5998838 then round up to the nearest tenth to get 83 percent

The percentage of people from the West that are insured is 83%.

Given that, the U.S. government collects information on Americans who do not have health insurance.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Number people insured from west region = 55,427

Total number of people from west region = 67,103

So, percentage = 55,427/67,103 × 100

= 0.8259 × 100

= 82.59

≈ 83%

Therefore, the percentage of people from the West that are insured is 83%.

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Answer:

A+7

Step-by-step explanation:

Step-by-step explanation:

[tex]\dfrac{5}{3}=\dfrac{3+2}{3}=\dfrac{3}{3}+\dfrac{2}{3}=1\dfrac{2}{3}[/tex]

Answer: [tex]x=\±2\sqrt{10}[/tex]

Step-by-step explanation:

To find the solutions of the quadratic equation given in the problem, you can apply the proccedure shown below:

- Subtract 40 from both sides of the equation.

- Multiply both sides of the equation by -1

- Apply square root to both sides of the equation.

Therefore, by applyin the steps above, you obtain:

[tex]40-x^2-40=0-40\\-x^2=-40\\(-1)(-x^2)=(-40)(-1)\\\\x^2=40\\\\\sqrt{x^2}=\±\sqrt{40}\\\\x=\±2\sqrt{10}[/tex]

Answer:

answer=a edg 2020

Step-by-step explanation:

what does precal mean I don't understand

Answer:

32/5 = 6 2/5

19/3 = 6 1/3

15/4 = 3 3/4

51/10 = 5 1/10

Step-by-step explanation:

Divide the top number and the bottom number. Example: 32 divided by 5 = 6 R2. Put the 5 under the 2. 2/5. So the total is 6 2/5.

Answer:

50+60=110

Step-by-step explanation:

multiply 10 by 5 and 12 by 5 to get 50 and 60 add them together to get 110.

Answer:

Step-by-step explanation:

Answer:

A =  ½bh + lw  

Step-by-step explanation:

Your composite figure is a triangle on top of a rectangle.

The formula for the area of a triangle is    A = ½bh.

The formula for the area of a rectangle is A =    lw.

The formula for the total area is

A =  ½bh + lw.

Answer: The correct answer is 3

Step-by-step explanation:

4³ = 64

The way to check your work is to multiply 4 x 4 x 4:

16 x 4 = 64

It's just 64 = 4^3

4 * 4 * 4 = 64

Answer:

$45

Step-by-step explanation:

I used a compound interest calculator

Rob will have $1044.89 in his account at the end of one year. The APY for this account is 4.47%.

The subject of the question is related to calculating the final balance of a savings account that earns compound interest. In Rob's case, he deposits $1000 in a bank account that pays 4.4% interest compounded monthly. In order to calculate the balance at the end of the year, we can use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial amount of money), r is the annual interest rate (in decimal), n is the number of times that interest is compounded per year, and t is the time the money is invested for in years.

To find Rob's account balance at the end of one year, we would substitute the values into the formula as follows: A = 1000(1 + 0.044/12)^(12*1) = $1044.89. This means Rob will have $1044.89 in his account at the end of one year. The APY (Annual Percentage Yield) for this account is closer to the nominal rate due to the effect of monthly compounding, which follows the formula APY = (1 + r/n)^(nt) - 1. Substituting the values gives us, APY = (1+ 0.044/12)^(12) - 1 = 0.044682, which is approximately 4.47 after converting to percentage and rounding to the nearest hundredth of a percent.

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Answer:

Step-by-step explanation:

B because .06 + .12 = .18 which is 18% out of 250 people

Hello, I'm Eric. I'll be trying my best to assist you on your question today.

0.12 is 12 percent.

We also have the 0.06 percent which would just be 6 percent

We need to add up those percentages to get 18 percent, for the people surveyed that cannot swim would be 18 percent.  

Our final answer is D.

Not the right answer or confused? Reply to this question for help.

Enjoy your day - Eric

Answer:

(f+g)(x)=5/3x−2

Step-by-step explanation:

(f+g)(x)=f(x)+g(x)

f(x)=2x+1 + g(x)=−1/3 x−3

add like terms

2x+(-1/3 x)=5/3 x

1+(-3)= -2

so...

(f+g)(x)=5/3 x−2

Answer:

22°

Step-by-step explanation:

If the mean is m and the standard deviation is s, then we can say that the temperatures that fall within 1 standard deviation of the mean will be:

m - s < temperatures < m + s

To we take the sum of mean and standard deviation: 24 + 4 = 28

and, the different of mean and standard deviation: 24 - 4 = 20

So, the temperature that is in between 20 and 28 is the temperature within 1 standard deviation of the mean.

This is the third answer, 22°

Answer:

The answer is C, 22

Step-by-step explanation:

I just took the test

Answer:

h = 24 cm

Step-by-step explanation:

The formula for area of a triangle is

A = (1/2)bh     where b is the base and h is the height.

We are told that the base is 5 times the height, this translates to

b = 5h, so we can rewrite our formula to

A = (1/2)(5h)(h)  or

A = (1/2)5h²

We are given A = 1,440, so plug that in and solve for h...

1,440 = (1/2)5h²

    2,880 = 5h²    (multiply both sides by 2 to get rid of the fraction)

      576 = h²    (divide both sides by 5 to get the h value by itself)

         24 = h     (take the square root of both sides)

➷ Writing it out like this will help:

7 : 3 : 2

? : 3.75 : ?

So, 3.75 is 3 parts as per this ratio

Divide this amount by 3 to get 1 part in the ratio

3.75 / 3 = 1.25

Now simply multiply all the other ratios by this value to find how much the others get:

1.25 x 7 = 8.75

1.25 x 2 = 2.5

Paula gets £8.75 and Henry gets £2.50

The amount altogether would be their individual amounts added together:

8.75 + 2.50 + 3.75 = 15

The total amount of money is £15.

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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Answer:

420 inches

Step-by-step explanation:

There are twleve inches in one foot.

(35) (12) = 420

Answer:

420 in.

Step-by-step explanation:

Going from a bigger unit to a smaller unit, you multiply 12 by 35 to get 420.

I am joyous to assist you anytime.

106,68 dm. = 35 ft. :]

Answer:

I would believe the scale factor to be 1.5:6!

20 + 2 units square root 10 units

Answer:

if X =3 then X would be equal to 12

Step-by-step explanation:

x3+x

put x=3

(3)3+3

9+3

12

Answer:

Step-by-step explanation:

[tex]x=3 \\3(x)+x\\3(3)+3\\9 +3\\= 12\\ X= - 3 \\ 3(x)+x\\3(-3)+(-3)\\-9-3\\= -12[/tex]

Answer:

Option A The zeros are the hot dog prices that give $0.00 profit (no profit)

Option C. Zeros at [tex]x=3(+/-)\sqrt{2}[/tex]

Step-by-step explanation:

we know that

The zeros of the function are the values of x when the value of y is equal to zero

In this problem

The zeros of the function are the price of a hot dog (in dollars) when the daily profit (in hundreds of dollars) of a hot dog stand are zero

we have

[tex]y=-2(x-3)^{2}+4[/tex]

Find the zeros

equate the equation to zero

[tex]0=-2(x-3)^{2}+4[/tex]

[tex]2(x-3)^{2}=4[/tex]

[tex](x-3)^{2}=2[/tex]

square root both sides

[tex]x-3=(+/-)\sqrt{2}[/tex]

[tex]x=3(+/-)\sqrt{2}[/tex]

Answer:

Option A The zeros are the hot dog prices that give $0.00 profit (no profit)

Option C. Zeros at

Step-by-step explanation: