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2 years ago

1. Find the surface area for the given prism. (11 8 in. 10 in. 14 in,

Mathematics

1 answer:

DedPeter [7]2 years ago

5 0

Answer:

SA = 664 square inches

Step-by-step explanation:

Surface area is the area of all the sides added together. A prism has six sides.

Take the dimensions and change them so each of the numbers are multiplied with the others.

14 * 10 * 8

14 * 10 = 140

14 * 8 = 112

10 * 8 = 80

Multiply each answer by 2 because there are two sides that have the same dimensions.

14 * 10 = 140 * 2 = 280

14 * 8 = 112 * 2 = 224

10 * 8 = 80 * 2 = 160

Add the areas together.

280 + 224 + 160 = 664

SA = 664 square inches

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Find the slope of the line that passes through points (10,2) and (3,5)

Hunter-Best [27]

Answer:

Slope = -3/7

Step-by-step explanation:

The formula for slope is y2-y1/x2-x1.

Substitute for the points.

5-2/3-10 = -3/7

4 0

2 years ago

Read 2 more answers

1) Graph the following lines and using the graph determine several values of x for which the graph is positive (negative):

Aleksandr [31]

1) $y=-0.5x-2$

The graph of the above equation is attached in the attachment below.

For all the values from negative infinity to -4, the function is positive.

X ∈ (-∞,-4]

2) $y=-1.5x+3$

To find the x- intercept, plug y =0

$0=-1.5x+3$

$1.5x=3$

$x=2$

x intercept = (2,0)

To find the y- intercept, plug x=0

$y=-1.5(0)+3$

$y=3$

Y- intercept = ( 0,3)

3) $y=13-x$

Y- intercept = (0,13)

x- intercept = (13,0)

Area of triangle = $\frac{bh}{2}$

Area of triangle = $\frac{13\times13}{2}$

Area = $\frac{169}{2}$ sq unit.

4) The graphs of $y=-2x+7$ and $y=0.5x-5.5$ is attached in the attachment below.

The intersection point is ( 5,-3)

5) A = (-3,0)

B = (4,5)

C = (0,-4)

Slope of AB = $\frac{5-0)}{4-(-3)} =\frac{5}{7}$

Slope intercept of line $y=mx+b$

Where, m is the slope and b is the y- intercept.

Plugging point A and the slope in the y- intercept to find the value of b.

$0=\frac{5(-3)}{7} +b$

$b=\frac{15}{7}$

Equation of line AB: $y=\frac{5x}{7} +\frac{15}{7}$

Slope of BC = $\frac{-4-5}{0-4} =\frac{9}{4}$

Plug C = (0,-4)

$-4=0+b$

b=-4

equation of line BC= $y=\frac{9x}{4} -4$

Slope of line AC = $\frac{-4-0}{0--3} =\frac{-4}{3}$

Equation of line AC = $y=\frac{-4x}{3} -4$

Y intercept of AB = $(0,\frac{15}{7} )$

5 0

3 years ago

Read 2 more answers

Please help and show work

gladu [14]

Answer:

Step-by-step explanation:

First I converted the fractions into decimals to make it easier to solve.

2 1/2 —> 2.5

1 3/4 —> 1.75

Then I added the two decimals together.

2.5 + 1.75 = 4.25

Then I divided this number by 100 (the number of cups in one bag)

100/4.25=23.529

With this equation I know that one bag lasts 23 full days.

This is almost a month, and so it would not make sense for the answers to be B, C, or D.

Hope this helped

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2 years ago

Read 2 more answers

In 2015, the population of a small town in Florida is 95. If he population increases 15% every year, approximately what will the

vova2212 [387]

The population is increasing every year. so we use exponential growth function

$y=a(1+r)^x$

Where 'a' is the initial population

r is the rate of increase

x is the years

y is the final population

In 2015, the population of a small town in Florida is 95

Initial population a= 95

r= 15%= 0.15

x = 2023 - 2015 = 8 years

Plug in all the values and find out y

$y=a(1+r)^x$

$y=95(1+0.15)^8$

y = 290.607

The population in 2023 is 291

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3 years ago

A parallelogram has side length of 9x+12 and 3x-4.what is the perimeter ?

Karo-lina-s [1.5K]

2(9x+12) + 2(3x-4)
because there are four sides, and it is a parallelogram, the opposite sides are equal. the answer is 24x+16

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2 years ago