The height of a cone is two times its base diameter. What is the volume of the cone in terms of its base radius ?

Answer:

1920

Step-by-step explanation:

20*8*12=1920

Answer:

15.)  104 ... I hope angles are not drawn to scale

16.)  144

17.)  37

Step-by-step explanation:

15.)

3x + 10 = 4x -12

22 = x

so 3x +10 = 76

180 - 76 = t = 104

16.)

2(21) + 36 + 90 + bcd + a = 360

a = 90 - 21 = 69

360 - (2(21) + 36 + 90 + 69) = bcd

bcd = 360 - 237 = 123

angle acd = 21 + bcd = 21 + 123 = 144

17.)

(5x - 7) + 90 + (3x + 1) = 180

8x -6 = 90

8x = 96

x = 12

so 5x - 7 = 53

90 - 53 = angle lmn = 37

Answer:

[tex]P = 4x+4[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Determine the perimeter (P)

This is calculated by adding the measure of the three sides.

So, we have:

[tex]P = 2x-3 + x + 5 +x + 2[/tex]

Collect like terms

[tex]P = 2x +x +x-3 + 5 + 2[/tex]

[tex]P = 4x+4[/tex]

Factorize

[tex]P = 4(x+1)[/tex]

Hence, the perimeter is 4x + 4 or 4(x + 1)

Answer:

√86 cm

Step-by-step explanation:

radius² + h² = slope²            slope = 10       radius = 4

               h² = slope² - radius²

               h  =  √(slope² - radius²)

                   =  √(10² - 4²)

                   =  √ 86

                   =

Answer: 84

...........

Answer:

30 years

Step-by-step explanation:

Answer:

-12

Step-by-step explanation:

Answer:

y = 4;

y = 7;

x = 6

Step-by-step explanation:

Given the rule, y = x/2, find the missing values as shown below:

✔️For the first row, to find y, substitute x = 8 into y = x/2,

y = 8/2

y = 4

✔️For the second row, to find y, substitute x = 14 into y = x/2,

y = 14/2

y = 7

✔️For the third row, to find x, substitute y = 3 into y = x/2,

3 = x/2

3*2 = x

6 = x

x = 6

Answer:

The effect on the graph of f(x) =1/x when it is transformed to g(x)=1/x - 7 is

the graph of f(x) is shifted 7 units down.

The correct option is (B).

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given:

g(x)=1/x - 7 and f(x)= 1/x

As, the transformation takes place so there is a negative seven.

Hence,  the graph of f(x) is shifted 7 units down.

Learn more about graph here:

https://brainly.com/question/14375099

#SPJ2

Answer:

log 7

Step-by-step explanation:

[tex]log (a)+log6=log(ab)\\\\[/tex]

[tex]log(c)-log(d)=log(c/d)[/tex]

---------------------------------

hope it helps...

have a great day!!

Answer:

To find the perimeter, we want to find the circumference of the whole circle, divide by 2, and add the 24 inches to get the total perimeter.

A semicircle is half a circle. If the straight edge of the semi circle is 24 inches, that makes the diameter of the full circle 24 inches as well.  

To find the circumference of the full circle, we need the formula:

C = 2πr  

Circumference = 2 x pi x radius

Radius is half of the diameter, so 12 inches.

C = 2 x pi x 12

C = 75.36 inches

75.36 is the circumference of a circle with a diameter of 24 inches. Divide this by two to get 37.68 inches, which is the length of the round part of the mat. Adding 24 inches for the straight side gives you the final answer, 61.68 inches, or ABOUT 62 inches.

Answer:

CD = 14

Step-by-step explanation:

here's your solution

=> In ∆ ABD and ∆ CBD

=> AB = CB

=> Angle ABD = Angle CBD

=> DB = DB

=> hence, both triangle are congurent

By ASA (criteria)

=> so, AD = CD (by C.P.C.T)

=> CD = 14

=> AD = 14

hope it helps【◆◆】

Answer:

14

Step-by-step explanation:

AD and DC are equal

Answer:

$1,100

Step-by-step explanation:

Given that

Earnings of Mr Jackson is $1,500

Earnings of his wife is $850

They need to set aside the following amounts

For foods, it would be $200

For gas, it would be $75

For Mortgage it would be $625

ANd, for savings, it would be $350

We need to find out the amount of money that they have left each week

So, the amount would be

= $1,500 + $850 - $200 - $75 - $625 - $350

= $1,100

Answer:

Step-by-step explanation:

The Hudson family is saving for a

family vacation to Disney World.  

They determine that the trip will

cost $3,200.  Mr. and Mrs.

Hudson have already set aside

$1,500 for the trip.  If they leave

in 16 weeks, then how much

will they need to save

each week?

Answer:

5.5

Step-by-step explanation:

tana=3a=3tana-tana^3a/1-3 tana^2a

=3(1/2)-(1/2)^3/1-3(1/2)^2

=3/2-1/8 /1-3/4

=(12-1/8)/1/4)

=(11/8)/(1/4)

=11/8×4

11/2====5.5

i think it help you do by this way if the answer is not this

Answer:

The answer is B or 8

Step-by-step explanation:

Answer:

B. $8

Step-by-step explanation:

Find the slope of the graph 40/5 = 8

Answer:

25 in²

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex]hb = [tex]\frac{1}{2}[/tex] × 5 × 10 = 25 in²

Answer:

25 units²

Step-by-step explanation:

Formula for calculating the area of a triangle:

A = hb/2

A = 5(10)/2

A = 50/2

A = 25

Answer:

Part D is correct

Step-by-step explanation:

Answer:

c 7 + 7x

Step-by-step explanation:

Answer:

It will reflect across the x axis

Hope this helps!

Answer:

A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.

Step-by-step explanation:

I hope it will help you

Answer:

Parallel segments → 1

perpendicular segments → 2

congruent segments → 3

[tex]---------[/tex]

hope it helps...

have a great day!!

Answer:

2+6

Step-by-step explanation:

Answer:

2+6

Step-by-step explanation:

its 2 +6 Hope this helps.

Answer:

Parallelogram area = (height × base)

Parallelogram area = 3 * 10 cm

Area = 30 square centimeters

Source: http://www.1728.org/quadpar.htm

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

 The method I used is elimination.

 x - 2y = 1

-x - 4y = -7         To find y, we need to cancel the x by using it's opposite. This also affects the other numbers in the equation. This makes positive 4 into a negative and positive 7 into a negative.

   Now we are left with,   -2y = 1

                                           -4y = -7

   Add and you get,         -6y = -6

   Divide      -6y/-6     =  -6/-6

      Our answer is, y = 1.

Answer:

sorry, i couldn't show my work down below is a picture of the the answer tho Gomen

Step-by-step explanation:

Answer:

-30

Step-by-step explanation:

-3[tex]\sqrt{10}[/tex]*[tex]\sqrt{10}[/tex]=-3[tex]\sqrt{10}^2[/tex]=-3*10=-30

Answer:

If you draw a diagonal across the parallelogram from one vertex to the opposite vertex, you divide the parallelogram into two congruent triangles. Each triangle thus has 1/2 of the area of the parallelogram.

Answer:

Step-by-step explanation:

Reciprocal of (-3)/8 = -8/3

[tex]\frac{2}{7}*\frac{-8}{3}=\frac{2*(-8)}{7*3}=\frac{-16}{21}[/tex]