Pls answer the image below

I need to know how to find the mass and how to get the answer by showing the work.

BigorU [14]

1 ft = 12 in
6 in = 6/12 = 0.5 ft
9 in = 9/12 = 0.75 ft

D = M/V ⇒ M = DV

V = 0.5 * 0.5 * 0.75 = 0.1875 cubic foot
M = 41.7 * 0.1875 ≈ 7.8 pounds

Answer: B.

8 0

3 years ago

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Determine what shape is formed for the given coordinates for ABCD, and then find the perimeter and area as an exact value and ro

Helga [31]

Answer:

Part 1) The shape is a trapezoid

Part 2) The perimeter is $25(4+\sqrt{2})\ units$ or approximately $135.4\ units$

Part 3) The area is $937.5\ units^2$

Step-by-step explanation:

step 1

Plot the figure to better understand the problem

we have

A(-28,2),B(-21,-22),C(27,-8),D(-4,9)

using a graphing tool

The shape is a trapezoid

see the attached figure

step 2

Find the perimeter

we know that

The perimeter of the trapezoid is equal to

$P=AB+BC+CD+AD$

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

Find the distance AB

we have

A(-28,2),B(-21,-22)

substitute in the formula

$d=\sqrt{(-22-2)^{2}+(-21+28)^{2}}$

$d=\sqrt{(-24)^{2}+(7)^{2}}$

$d=\sqrt{625}$

$d_A_B=25\ units$

Find the distance BC

we have

B(-21,-22),C(27,-8)

substitute in the formula

$d=\sqrt{(-8+22)^{2}+(27+21)^{2}}$

$d=\sqrt{(14)^{2}+(48)^{2}}$

$d=\sqrt{2,500}$

$d_B_C=50\ units$

Find the distance CD

we have

C(27,-8),D(-4,9)

substitute in the formula

$d=\sqrt{(9+8)^{2}+(-4-27)^{2}}$

$d=\sqrt{(17)^{2}+(-31)^{2}}$

$d=\sqrt{1,250}$

$d_C_D=25\sqrt{2}\ units$

Find the distance AD

we have

A(-28,2),D(-4,9)

substitute in the formula

$d=\sqrt{(9-2)^{2}+(-4+28)^{2}}$

$d=\sqrt{(7)^{2}+(24)^{2}}$

$d=\sqrt{625}$

$d_A_D=25\ units$

Find the perimeter

$P=25+50+25\sqrt{2}+25$

$P=(100+25\sqrt{2})\ units$

simplify

$P=25(4+\sqrt{2})\ units$ ----> exact value

$P=135.4\ units$

therefore

The perimeter is $25(4+\sqrt{2})\ units$ or approximately $135.4\ units$

step 3

Find the area

The area of trapezoid is equal to

$A=\frac{1}{2}[BC+AD]AB$

substitute the given values

$A=\frac{1}{2}[50+25]25=937.5\ units^2$

4 0

3 years ago

Help fast plz give me the answer

Lunna [17]

The answer is 75 degrees I believe.

45 + 60 + x = 180

I’m pretty sure I’m correct but I’m so sorry if I’m wrong.

7 0

3 years ago

8x - 5 > 13 - x<br> Solve inequalities

Archy [21]

Answer:

x>2

Step-by-step explanation:

3 0

3 years ago

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Write the slope intercept equation for a line with the given points m=3/8, passes through (4,5)

natta225 [31]

Answer:

The answer is: y = 3/8x + 28/8

Step-by-step explanation:

Given point: (4, 5)

Given slope m = 3/8

Uset the point slope form:

y - y1 = m(x - x1)

y - 5 = 3/8(x - 4)

y - 5 = 3/8x - 12/8

y = 3/8x - 12/8 + 5

y = 3/8x - 12/8 + 40/8

y = 3/8x + 28/8

Proof, use point (4, 5):

f(x) = 3/8x + 28/8

f(4) = 3/8(4) + 28/8

= 12/8 + 28/8

=40/8 = 5, giving (4, 5)

6 0

3 years ago

Pls answer the image below ​

Pls answer the image below