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3 years ago

14

Find the surface area of the prism below. Please see attachment and the answer C. 1200cm^2 is incorrect. Thanks!

1 answer:

skad [1K]3 years ago

5 0

Answer: option a

Step-by-step explanation:

You must apply the formula for calculate the surface area of the prism, which is shown below:

$SA=bh+2ls+lb$

Where:

b=8 cm

h=3 cm

l=10 cm

s=5 cm

When you susbstitute the values shown above into the formula for calculate the surface area, therefore you obtain:

$SA=(8cm*3cm)+2(10cm*5cm)+(10cm*8cm)\\SA=204cm^{2}$

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How to make a number line

ioda

A number line is a line that extends infinitely in both directions (marked by arrows) that shows a range of numbers with a consistent distance between increments.

Draw a line
Draw arrows on both sides pointing out
Write the minimum and maximum values on the left and right side repectively
Add appropriate increments with equal distances on the number line

7 0

3 years ago

The area of a rectangular piece of cardboard is represented by

Liula [17]

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

$A = wl$

w(2w + 3) = 9

From this, we get that:

$l = 2w + 3, A = 9$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}$

$\Delta = b^{2} - 4ac$

In this question:

$w(2w+3) = 9$

$2w^2 + 3w - 9 = 0$

Thus a quadratic equation with $a = 2, b = 3, c = -9$

Then

$\Delta = 3^2 - 4(2)(-9) = 81$

$w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5$

$w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3$

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

5 0

3 years ago

Nola purchased 2.5 pounds of cheese for 10.50. Her mother purchased 3pounds of the same cheese for$12.60. The cost of cheese var

Dennis_Churaev [7]

Answer:

cost per pound = $4.20

Step-by-step explanation:

Cheese cost per pound = ?

first for the cost per pound

cost per pound = total cost / pounds bought

cost per pound = $10.50 / 2.5 pounds

cost per pound = $4.20

to check the above answer is correct

cost per pound = total cost / pounds bought

cost per pound = $12.60 / 3 pounds

cost per pound = $4.20

Therefor, the cheese costs $4.20 per pound.

5 0

3 years ago

0.5 0.45 0.405 4.5 least to greatest

babymother [125]

0.405, 0.45 , 0.5 , 4.5 : Least to greatest!

5 0

3 years ago

What is the slope of this line?

nataly862011 [7]

Answer: $-\frac{8}{5}$

Remember: RISE/RUN (y/x). Lines that are increasing have a positive slope, and lines that are decreasing have a negative slope.

You can find the slope in two ways:

1. Useful if the line is graphed: count the units between 2 points on the line.

Let's use the points (-1, 4) and (4, -4).

(-1, 4) is 8 units higher than (4, -4) and 5 units to the left of (4, -4).

Because the line is decreasing, the slope is negative.

Therefore, the slope is $-\frac{8}{5}$ .

2. Useful if the line is not graphed: find the difference between the y-coordinate values divided by the difference of the x-coordinate values.

Let's use the points (-1, 4) and (4, -4).
$\frac{-4 - 4}{4 - (-1)} = \frac{-8}{5}$

Therefore, the slope is $-\frac{8}{5}$ .

4 0

4 years ago

Read 2 more answers