Find the volume of a pyramid that has a rectangular base that is 12 inches 10 inches and a vertical height of 9 inches.

Answer:

225 boards

Step-by-step explanation:

99 ft/0.44 ft = 225 ft

Step-by-step explanation:

s=d/t

s=18/30

s=3/5km/h

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:

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:

(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:

i don't know

Step-by-step explanation:

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:

Step-by-step explanation:

You want to set up a system. We are given some points fo we can set up inputs and outputs. F(0) = 5, given by point (0,5). and F(3)=135, given by point (3,135). The exponential function general equation is F(x)= a(b)^x. plug in out functions into the general equation to get a(b)^0=5 and a(b)^3=135. Then you simplify and solve for a. In the equation a*b^0=5, anything to the power of 0 is 1. so a*1=5. Therefore a=5. we plug in the a to the second equation to find b. 5*b^3=135. b^3=27. b=3 from simplifying. Therefore, the equation should be 5(3)^x. THATS IT!

Answer:

1/2

Step-by-step explanation:

take change in X divided by change in Y values

Step-by-step explanation:

there are actually no restrictions. even with a negative x, squaring it makes for a positive result.

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:

3

Step-by-step explanation:

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:

First term of the given series = 4

The last term of the given series = 11

Step-by-step explanation:

Explanation

Given that the sum of the series

                  ∑⁸ₙ₋₁  (n+3)

The [tex]n^{th}[/tex] term of the given sequence

           aₙ = (n+3)

Put n=1

         a₁ = 1+3 = 4

Put n=2

        a₂ = 2+3 =5

Put n=3

       a₃ = 3+3 = 6

Put n=4

     a₄ = 4+3 =7

Put n=5

    a₅ = 5+3 =8

Put n=6

   a₆ = 6+3 =9

Put n=7

  a₇ = 7+3 = 10

Put n=8

  a₈ = 8+3 =11

The sequence of the given series

          4,5,6,7,8,9,10,11

Final answer:-

First term of the given series = 4

The last term of the given series = 11

Step-by-step explanation:

x= 0, y = 2

have a great day

Answer:

0.2 I think

Step-by-step explanation:

7x6=42

35÷42=0.2

Answer:

The figure is a parralellogram

Step-by-step explanation:

it has 4 sides and one set is parallel

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:

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:

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:

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

Answer:

C) 297 cm²

Step-by-step explanation:

1/2(22)(27)=297

Answer:

One third or 1/3

Step-by-step explanation:

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!