If m<1=105 and m<4=115, then m<6=<br><br> A.75 B.40 C.50 D.60

What is the volume of this prism?

vovikov84 [41]

Answer:

The answer is 13 1/8ft3

Explanation:

Substitute into the formula:

Volume = 3 1/2 x 2 1/2 x 1 1/2

= 7/2 x 5/2 x 3/2

= 105/8

= 13 1/8 ft3

8 0

3 years ago

at 1:30 in the afternoon an old freight train and a new dart express train pull out of the new garland station going in opposite

nydimaria [60]

Solution: The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.

Explanation:

Let the speed of old freight train is x miles per minute and the speed of new dart express train is y miles per minute.

It is given that the speed of the dart express train is three times faster than the freight train. So, it can be written as,

$3x=y$ ....(1)

The trains are moving towards the opposite directions, therefore the distance between them is increased at the speed of $(x+y)$ miles per minute.

$Distance=Speed\times Time$

The distance between both train in 15 minutes is represented by $15(x+y)$ .

According to the given information the distance between trains is 30 miles in 15 minutes.

$15(x+y)=30$

$x+y=2$

Use equation (1) and put $y=3x$

$x+3x=2$

$4x=2$

$x=0.5$

Put this value in equation (1), to find the value of y.

$y=3(0.5)$

$y=1.5$

Therefore, the The speed of old freight train is 0.5 miles per minute and the speed of new dart express train is 1.5 miles per minute.

4 0

3 years ago

The vertices of ABC are A(-2, 2), B(6,2), and CO, 8). The perimeter of ABC?

Alexxx [7]

Answer:

Perimeter = 22.809836694575

Step-by-step explanation:

A(-2, 2) ; B(6,2) ; C(0, 8)

$AB=\sqrt{\left( 6--2\right)^{2} +\left(2-2 \right)^{2} } =\sqrt{64} =8$

$AC=\sqrt{\left( 0--2\right)^{2} +\left(8-2 \right)^{2} } =\sqrt{40} =2\sqrt{10}$

$BC=\sqrt{\left( 0-6\right)^{2} +\left(8-2 \right)^{2} } =\sqrt{72} =6\sqrt{2}$

Then

The perimeter of ΔABC = AB + BC + AC

$=8+6\sqrt{2} +2\sqrt{10}$

= 22.809836694575

3 0

2 years ago

If f(1) = 7 and f(n) = 5f (n − 1) then find the value of f(5).

nevsk [136]

Answer:

f(5) = 4375

Step-by-step explanation:

Given f(n) = 5f(n - 1) and f(1) = 7

This allows us to find the next term in the sequence from the previous term

f(2) = 5f(1) = 5 × 7 = 35

f(3) = 5f(2) = 5 × 35 = 175

f(4) = 5f(3) = 5 × 175 = 875

f(5) = 5f(4) = 5 × 875 = 4375

3 0

3 years ago

Read 2 more answers

Which value must be added to the expression x^2– 3x to make it a perfect-square trinomial?

liraira [26]

Answer:

$\frac{9}{4}$

Step-by-step explanation:

Given

x² - 3x

add ( half the coefficient of the x- term)²

x² + 2(- $\frac{3}{2}$ )x + (- $\frac{3}{2}$ )²

= (x - $\frac{3}{2}$ )² + $\frac{9}{4}$

3 0

3 years ago

If m<1=105 and m<4=115, then m<6= A.75 B.40 C.50 D.60​

If m<1=105 and m<4=115, then m<6= A.75 B.40 C.50 D.60