A cone has a volume of 100[tex]\pi[/tex] Cubic units and a diameter of 10 units. What is the height of the cone?

Answer:

x<9

Step-by-step explanation:

-5(x-1)>-40

x-1>-40/-5

x-1>8

x>8+1

x>9

x<9

The solution of the inequality - 5(x - 1) > -40 will be;

⇒ x < 9

And, The solution of the inequality is shown in number line.

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ - 5(x - 1) > -40

Now,

Solve the inequality as;

The inequality is,

⇒ - 5(x - 1) > -40

⇒ - (5x - 5) > - 40

⇒ 5x - 5 < 40

Add 5 both side,

⇒ 5x - 5 + 5 < 40 + 5

⇒ 5x < 45

Divide by 5, we get;

⇒ x < 9

Thus, The solution of the inequality - 5(x - 1) > -40 will be;

⇒ x < 9

And, The solution of the inequality is shown in number line.

Learn more about the inequality visit:

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Answer: 96 feet

Step-by-step explanation:

Answer:$590

Step-by-step explanation:

500*6%=30

30*3=90

500+90=590

Answer:

88 inches

Step-by-step explanation:

Well the bike will travel the distance of the circumference of the tire.

Circumference is 2*pi*radius or pi*diameter since the diameter is twice the radius

I guess they want is to use 22/7 for pi, which is weird, but whatever.

C = pi*d

C = 22/7*28

This gets you [tex]C = \frac{616}{7}[/tex] or 88 inches

Answer:

c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Blank 1: 6

Blank 2: 30

1/2 = 6/12 = 30/60

Blank 3: 30

1/4 = 3/12 = 15/60

Answer:

145

Step-by-step explanation:

Answer:

19 + 13 = 32 x 10 = 320 divided by 2 = 160yd2

Formula of a trapezoid:

B1 (base 1) + B2 (base2) x Height x 1/2 (basically dividing by 2).

Base 1 was 19

Base 2 was 13

and 10 was your height

And then divide by 2. ( x 1/2)

Answer:

put a picture please so i can understand better

Answer:

The answer is A

Step-by-step explanation:

i have done this and got 100 :0

Answer:

x = 90 and 20 x 4 = 6x9 = k2 over -2

Answer:

x= 64° y= 18° z= 98°

Step-by-step explanation:

x= 64°

y = 18°

z = 180° - x - y

z = 180° - 64° - 18°

z= 98°

The proportion of businesses who did not respond = 54.67%

Given : Total businesses = 150

Businesses responded = 68

Businesses did not respond =  150- 68 = 82

The proportion of businesses who did not respond =

82/150 x 100

54.67%

Answer:

6336 feet = 0.3476 nautical leagues

Answer:

[tex]15 x = 6.60[/tex]

[tex]x = 44\ hundredths[/tex]

Step-by-step explanation:

Given

[tex]\frac{6.60}{15}[/tex]

Required

Complete the model

[ ] x = 6.60

x = _ hundredths

[tex]\frac{6.60}{15}[/tex]

Equate to x

[tex]x = \frac{6.60}{15}[/tex]

Multiply both sides by 15

[tex]15 * x = \frac{6.60}{15} * 15[/tex]

[tex]15 * x = 6.60[/tex]

[tex]15 x = 6.60[/tex]

So, we have:

[ ] x = 6.60 =====> [tex]15 x = 6.60[/tex]

Recall that:

[tex]x = \frac{6.60}{15}[/tex]

[tex]x = 0.44[/tex]

This implies that:

[tex]x = 44\ hundredths[/tex]

Hence:

x = _ hundredths =====> [tex]x = 44\ hundredths[/tex]

Answer:

The tree is 8 foot long

hope this helps

good day mate

Answer:

8

Step-by-step explanation:

12:6 = x:4

2:1 = x:4

x=8

Answer:

the answer is 675.70 or 4,504.33

Step-by-step explanation:

the right answer is that

Answer:

3rd one im pretty sure

Step-by-step explanation:

:] i honestly have no clue my self

Answer:

A) A function is a rule that assigns one input into one output.

The general function is f(x) = y

Where we have one input, x, and one output, y.

But this is a really simple type of function, for example, you could define a function that calculates the volume of a box of length L, width W, and height H as:

V = f(L, W, H) = L*W*H

Then we have "3 inputs" and one output, right?

Well, not exactly, here the set (L, W, H) is called the input, so here we have a single input consisting of 3 variables.

Also we can have functions with a single input into vector-like outputs

For example:

(y, z) = f(x)

So for the input x, we got two values in the output y and z, but this is a single output defined as (y, z), then we always have a single output.

B) The graph of a function is a set of points consisting of one input and the corresponding output.

C) You can determine if a graph represents a function by using the vertical line proof.

A rule that assigns inputs into outputs is only a function if each input is assigned into only one output.

Then if we draw a vertical line that intersects our graph, it should intersect it only one time for functions.

If the line intersects the line two times this means that a single input has more than one output, then this is not a function.

Answer:

A: exactly one, each

B: ordered pairs

C: vertical line test

Step-by-step explanation:

Answer:

Factors of 22: 1, 2, 11, and 22.

Prime Factorization of 22: 22 = 2 × 11.Step-by-step explanation:

Answer:

a). -8    b). 4/19

Step-by-step explanation:

F(x)= x²+9x       g(x)=1/x.

g(-1) = 1/ - 1

= -1

f(-1) = x²+9x

= -1² + 9(-1)

= 1 - 9

= -8

G(f(1/2))

f(1/2) = x²+9x

= 1/2² + 9(1/2)

= 1/4 + 9/2

= 19/4

g (19/4) = 1/x

= 1/19/4

= 4/19

Answer:

1). -8    2). 4/19

Step-by-step explanation:

F(x)= x²+9x       g(x)=1/x.

g(-1) = 1/ - 1

= -1

f(-1) = x²+9x

= -1² + 9(-1)

= 1 - 9

= -8

G(f(1/2))

f(1/2) = x²+9x

= 1/2² + 9(1/2)

= 1/4 + 9/2

= 19/4

g (19/4) = 1/x

= 1/19/4

= 4/19

Answer:

12:6 or $12 for every $6 he saves

Step-by-step explanation:

If he spends $6.00 for every $3.00, he would save $6 if he spends $12. In this case you could multiple or divide 6 by any number, and do the same to 3 to get an equivalent ratio. Ex. Multiple 6 times 2 to get $12 and 3 times 2 to get $6.

Answer:

300

Step-by-step explanation:

Answer:

12870ways

Step-by-step explanation:

Combination has to do with selection

Total members in a tennis club = 15

number of men = 8

number of women = 7

Number of team consisting of women will be expressed as 15C7

15C7 = 15!/(15-7)!7!

15C7 = 15!/8!7!

15C7 = 15*14*13*12*11*10*9*8!/8!7!

15C7 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2

15C7  = 15*14*13*12*11/56

15C7 = 6,435 ways

Number of team consisting of men will be expressed as 15C8

15C8 = 15!/8!7!

15C8 = 15*14*13*12*11*10*9*8!/8!7!

15C8 = 15*14*13*12*11*10*9/7 * 6 * 5 * 4 * 3 * 2

15C8 = 6,435 ways

Adding both

Total ways = 6,435 ways + 6,435 ways

Total ways = 12870ways

Hence the required number of ways is 12870ways

Answer:

6 is the answer

Step-by-step explanation:

6

Answer:

C-  6

Step-by-step explanation:

12=

1,2,3,4,6,12

30=

1,2,3,5,6,10,15,30

hope this helps :) also, brainliest?? :)

Answer:

Easy,

1) To find the area you need to multiply. Therefore 10 x 4 = 40 square centimeters.

2) 20, why? A calculator online for area of a triangle, it really helps! :) just look up triangle area in the future.

Step-by-step explanation:

Answer:

£4244.83

Step-by-step explanation:

Use the compound amount formula:

A = P(1 + r)^t.  Here, P = £4000, r = 0.02 and t = 3 yrs

So:  A = £4000(1 + 0.02)^3, which comes to:

       A = £4000(1.061) = £4244.83

Answer:

4/5

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

0.8

=8/10

=4/5