What is the total surface area of the triangular prism shown?

Answer:

314 cm^2

Step-by-step explanation:

(=^w^=)

A= 2*pi*r*h

A=2*pi*5*10

A=314.16 cm^2

Step-by-step explanation:

2×5×10=

10×10= 100 cm²

=100 cm²

Answer:

-70 degrees

Step-by-step explanation:

What you need to do is subtract 10 from -58 to find the difference;

-58-12 = -70 degrees

Answer:

3

Step-by-step explanation:

Answer:

225 boards

Step-by-step explanation:

99 ft/0.44 ft = 225 ft

Answer:

5.24 hours

Step-by-step explanation:

I like to set these up as ratios.

279 miles/4.5 hours = 325 miles/ x hours

Then cross multiply

279x = 4.5 x 325

279x = 1462.5

divide both sides by 279

x = 5.24 hours

You can also solve 279 miles/4.5 hours to get the miles per hour driven, then divide 325 by that number:

279/4.5 = 62mph

325/62 = 5.24

Step-by-step explanation:

s=d/t

s=18/30

s=3/5km/h

Answer:

10.5 meter sqaured

Step-by-step explanation:

Answer:

Answer is 10.5 meters squared

Step-by-step explanation:

Answer:

Ihe answer is 845 times

Step-by-step explanation:

Answer:

(c) [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA

Step-by-step explanation:

Given

See attachment for triangles

Required

The relationship between both triangles

First, we determine the corresponding sides.

The corresponding sides will be determined based on the length of each side (i.e. bigger sides correspond while smaller sides correspond).

So, we have:

[tex]AC\ to\ EC[/tex]

[tex]BC\ to\ DC[/tex]

Next, is to name the triangle base on the corresponding sides

The names will be: [tex]\triangle ABC[/tex] and [tex]\triangle EDC[/tex]

Lastly, is to check the scale ratio (k).

For both triangles to correspond, the scale ratio must be the same

So:

[tex]k = \frac{EC}{AC} = \frac{DC}{BC}[/tex]

[tex]k = \frac{8}{6} = \frac{12}{9}[/tex]

[tex]k = \frac{4}{3} = \frac{4}{3}[/tex]

[tex]k = \frac{4}{3}[/tex]

Hence, the theorem is: [tex]\triangle ABC[/tex] to [tex]\triangle EDC[/tex] by AA

Answer:   d=sqrt(41) =6.4031  

Step-by-step explanation:

We know that the distance between the two points (x  1  ,y  1  ) and (x  2  ,y  2 ) is

d= sqrt((x2-x1)^2 +(y2-y1)^2 )

as given

x1=2  ,x2=6   ,y1=3 ,y2=8

d=sqrt((6-2)^2+(8-3)^2 )

d= sqrt((4)^2+(5)^2

d=sqrt(16+25)

d=sqrt(41) =6.4031

Answer:

200

Step-by-step explanation:

Base of the prism is a square

So

[tex]\\ \tt {:}\longrightarrow Area\:of\:base=(side)^2[/tex]

[tex]\\ \tt {:}\longrightarrow (5)^2[/tex]

[tex]\\ \tt {:}\longrightarrow 25cm^2[/tex]

Now

[tex]\\ \tt {:}\longrightarrow Volume=Area\:of\:Base\times Height[/tex]

[tex]\\ \tt {:}\longrightarrow 25\times 8[/tex]

[tex]\\ \tt {:}\longrightarrow 200cm^3[/tex]

Answer:

One third or 1/3

Step-by-step explanation:

Step-by-step explanation:

x= 0, y = 2

have a great day

Answer:

i don't know

Step-by-step explanation:

Answer:

B. y+ 4 = 3/4 (x-6)

Step-by-step explanation:

Given:

m = 3/4

Slope-intercept:

y - y1 = m(x - x1)

y + 4 = 3/4(x - 6)

Answer:

≈ $9164.35

Step-by-step explanation:

The future amount A is calculated as

A = P [tex](1+\frac{r}{n}) ^{nt}[/tex]

P is the Principle

r is interest rate

n is number of times per year compounding happens

t is the number of years

Here P = 15000 , r = 16% = 0.16, n = 12 , t = 3

A = 15000 [tex](1+\frac{0.16}{12}) ^{(12(3))}[/tex]

   = 15000 ([tex](1.01333)^{36}[/tex]

   ≈ 24164.35

Interest paid = $24164.35 - $15000 = $9164.35

Answer:

The future amount A is calculated as

A = P (1+\frac{r}{n}) ^{nt}(1+nr)nt

P is the Principle

r is interest rate

n is number of times per year compounding happens

t is the number of years

Answer:

-4f

Step-by-step explanation:

-8f+2f=-6f then -6f+2f (since its a positive number) = -4f

Answer:

its easy its like adding

-4f

Step-by-step explanation:

add -8f and 2f

which equals -6f+2f

and then add those two

which then gives -4f

hope it helps!

Answer:

The figure is a parralellogram

Step-by-step explanation:

it has 4 sides and one set is parallel

Answer:

1

Step-by-step explanation:

y-intercept: the point where the line and the y-axis intersect

Answer:

y-intercept =1

Step-by-step explanation:

The y -intercept of a graph is the point where the graph crosses the y -axis.

Answer:

1/2

Step-by-step explanation:

take change in X divided by change in Y values

Answer:

45 sweets.

Step-by-step explanation:

6:2:1

To solve how many Jim and Dan has I did 6 x n and 1 x n until the difference of the two numbers equaled 25.

6 x 5 = 30

1 x 5 = 5

30 - 5 = 25.

So, Jim as 30 candy and Dan has 1. How much does David have?

Just do the same thing but with 2 x n:

2 x 5 = 10.

Now add them together:

30 + 10 + 5 = 45.

Therefore, 45 sweets!

Answer:

76/9

Step-by-step explanation:

Alternative form: 8 4/9, 8.4

Answer:

2/33

Step-by-step explanation:

Chance of rolling a 1 is 1/33, chance of rolling a 2 is also 1/33. so add the probabilities 1/33 + 1/33 =2/33

Answer:

C) 297 cm²

Step-by-step explanation:

1/2(22)(27)=297

Answer:

0.2 I think

Step-by-step explanation:

7x6=42

35÷42=0.2