Find the surface area of the prism.
7 m
7 m
7 m

Answer:

9a6

Step-by-step explanation:

23-34 a + 1

Answer:

a = ± 2

Step-by-step explanation:

Use the distance formula to calculate XY, then equate to 10

d = [tex]\sqrt{x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = X(a -5, - 2a) and (x₂, y₂ ) = Y(a + 1, 2a)

XY = [tex]\sqrt{(a +1-(a-5))^2+(2a-(2a))^2\\}[/tex]

     = [tex]\sqrt{(a+1-a+5)^2+(4a)^2}[/tex]

     = [tex]\sqrt{6^2+16a^2}[/tex] , then

[tex]\sqrt{36+16a^2}[/tex] = 10 ( square both sides )

36 + 16a² = 100 ( subtract 36 from both sides )

16a² = 64 ( divide both sides by 16 )

a² = 4 ( take the square root of both sides )

a = ± [tex]\sqrt{4}[/tex] = ± 2

Answer:

c

Step-by-step explanation:

count

Answer:

C

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

volume of a cylinder:

[tex]V=\pi r^2h[/tex]

where r = radius and h = height

We are given the volume (V) and the height (h) and we need to find the radius (r).

To find the radius we are going to want to plug in the given values into the formula for volume of a cylinder and solve for r

so, * plug in given values *

[tex]400= \pi r^28[/tex]

Now we solve for r

step 1 take the square root of each side

[tex]\sqrt{400} =20\\\sqrt{\pi r^28} =\sqrt{\pi } 4*r\\[/tex]

now we have [tex]20=\sqrt{\pi } 4*r[/tex]

step 2 divide each side by sqrt (π) 4

[tex]\frac{20}{\sqrt{\pi } 4} =3.989 \\\\\frac{\sqrt{\pi } 4*r}{\sqrt{\pi } 4}=r\\[/tex]

we're left with r = 3.989

Finally we round to the nearest whole number and get that the answer is A.4

Answer:

A. 7w + 60 = 5w + 120; w = 30

Step-by-step explanation:

Answer:

y = -3/2x + 9

Step-by-step explanation:

As we already know the slope, we just need to find the y-intercept.

To find the y-intercept, you have to plug the values of x and y into the equation.

y = -3/2x + b

-6 = -3/2(10) +b

-6 = -15 + b

9 = b

The equation is y = -3/2x + 9

Step-by-step explanation:

hope this helps!!!!!!!!!!!

Answer:

P = 31.6

Step-by-step explanation:

distance of AB and CD is 5 units each (used Distance Formula)

distance of BC and AD is [tex]\sqrt{117}[/tex] units each (used Distance Formula); which is

6[tex]\sqrt{13}[/tex]

2(6[tex]\sqrt{13}[/tex]) + 10 = 31.6

Answer:

its c

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

First of all we can simplify the the first therm because a property of power says that we can simplify a power of power by multiply the exponents

a^4b^8c^2

For the same property 2c^5 becomes 8c^15

now we have

(a^4b^8c^2)(6a^3b)(8c^15)/4a^6b^12c^3

if we simplify the numbers we can obtain

(a^4b^8c^2)(6a^3b)(2c^15)/a^6b^12c^3

If we simplify the parameters we can obtain

12ac^14/b^3

Answer:

A fraction is a number consisting of one or more equal parts of a unit. It is denoted by the symbol a/b, where a and b≠0 are integers (cf. Integer). The numerator a of a/b denotes the number of parts taken of the unit; this is divided by the number of parts equal to the number appearing as the denominator b.

Step-by-step explanation:

Answer:

the sum is 7/5 or 1 2/5

Step-by-step explanation:

Answer:

Sammy would have 16 friends.

Step-by-step explanation:

Let total number of friends be x, each friend gets 2 balls, this can be denoted as 2x balls.

The final relation can be expressed as:

40 (total number) =2x+8 , here 8 is the remainder after distribution.

Now we can solve for x

40=2x+8

40−8=2x

32=2x

x=16

Answer:

16 friends

Step-by-step explanation:

40 balls - 8 remaining = 32 balls in total

32 b in total / 2 balls each = 16 friends

hope this helps

Answer:

y = -1/5x - 2

Step-by-step explanation:

All you need is a perpendicular slope and any y-intercept.

Perpendicular slope is a negative reciprocal so:

5 → -1/5

y-intercept doesn't matter so:

y = -1/5x - 2

Answer:

y= -1/5x +4

Step-by-step explanation:

To find a perpendicular line, you need the negative reciprocal of the slope, in this case it is 5 and -1/5.

Answer:

25%

Step-by-step explanation:

We can use a proportion to answer this question:

64 represent the 100% of the games

so:

x : 100 = 16 : 64

x = (16*100)/64 = 1600/64 = 25%

Answer:

$15

Step-by-step explanation:

370-40=330

12+10=22

330÷22=15

15*22=330

Answer:

slope

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Since m is the coefficient of the x- term, then

The coefficient of the x- term gives the slope

Answer:

A

Step-by-step explanation:

.

A = 9

B = 19

.

.

If median are getting from " ( a + b ) ÷ 2 " . So :

.

Find b :

.

(a + b) ÷ 2 = Median

(17 + b) ÷ 2 = 18

17 + b = 18 × 2

17 + b = 36

b = 36 - 17

b = 19

.

In conclusion, the value of b is 19

.

Find a :

[tex] \frac{7 + a + 12 + 15 + 17 + 19 + 20 + 22 + 24 + 25}{10} = 17[/tex]

[tex] \frac{161 + a}{10} = 17 \\ [/tex]

[tex]161 + a = 17 \times 10[/tex]

[tex]161 + a = 170[/tex]

[tex]a = 170 - 161[/tex]

[tex]a = 9[/tex]

.

In conclusion, the value of a is 9

.

.

#LearnWithBrainly

Answer:

F(x) = x^2+3

Step-by-step explanation:

B. F(x) = x² + 3 is the correct answer.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

Horizontal translation: g(x)=f(x+c).

The graph is translated c units to the left if c>0 and c units to the right if c<0.

Vertical translation: g(x)=f(x)+k.

The graph is translated k units upward if k>0 and k units downward if k<0.

Since F(x) has the same shape as G(x) = x^2, but it is shifted up 3 units, we can write:

F(x) = G(x) + 3

F(x) = x² + 3

Therefore, the correct answer is B. F(x) = x² + 3.

Learn more about function here:

https://brainly.com/question/29633660

#SPJ7

Answer:

225.1°

155mph

Answer:

he must score 32 points in the next game in order to average 14 points per game.

Step-by-step explanation:

14 x 6 = 84

84-(13+10+14+9+6)=32

checking:

32 + 13 + 10 + 14 + 9 + 6 = 84

84 divided by 6 = 14

Answer:

5.08 years

Step-by-step explanation:

We are to solve for time using compound interest formulas

For Hailey

Principal = $200

Amount = Double of Principal = $4000

Rate = 2 3/8% = 2.375.

Time = ?

Hence,

First, convert R as a percent to r as a decimal

r = R/100

r = 2.375/100

r = 0.02375 per year,

Then, solve the equation for t

t = ln(A/P) / r

t = ln(4,000.00/2,000.00) / 0.02375

t = 29.185 years

≈ 29.19 years

For Sophie

Principal = $200

Amount = Double of Principal = $4000

Rate = 2 7/8% = 2.875

Time = ?

First, convert R as a percent to r as a decimal

r = R/100

r = 2.875/100

r = 0.02875 per year,

Then, solve the equation for t

t = ln(A/P) / n[ln(1 + r/n)]

t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 0.02875/365)] )

t = ln(4,000.00/2,000.00) / ( 365 × [ln(1 + 7.8767E-5)] )

t = 24.11 years

How much longer would it take for Hailey's money to double than for Sophie's money to double?

For Hailey it takes 29.19 years

For Sophie it takes 24.11 years

We find the difference

= 29.19 - 24.11

= 5.08 years

Therefore, it would take 5.08 years for Hailey's money to double than Sophie

Answer:

5.07 a little late but oh well

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

the plots are going up from the origin which means its positive and linear

Answer:

3

Step-by-step explanation:

2,6>>>1,3

the answer is

0.5

Answer:

5.291 feet

Step-by-step explanation:

I used pythagorus thoery