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3 years ago

Find the Surface Area

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

5 0

Answer:

120 km squared.

Step-by-step explanation:

The shape shown has 5 sides: three rectangles and 2 triangles.

If you examine each triangle closely, they are 3-4-5 triangles. The area of one triangle is 3 * 4 * 1/2 = 12 * 1/2 = 12 / 2 = 6. Since there are two triangles, the total area of the triangles is 6 * 2 = 12 km squared.

The three rectangles have the same length, but their widths differ. They all have a side length of 9 km, but the largest rectangle has a width of 5 km, the medium has a width of 4 km, and the smallest has a width of 3 km.

So, the rectangles' areas added up will be (9 * 5) + (9 * 4) + (9 * 3) = 45 + 36 + 27 = 108 km squared.

And so, the total surface area is 12 km squared + 108 km squared, or 120 km squared.

Hope this helps!

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Nick was surveying his field and saw some cows and ducks. Nick counted a total of 80 heads and

Tcecarenko [31]

Answer:

44 cows and 36 ducks.

Step-by-step explanation:

x is ducks and y is cows.

Assuming both have 1 head each, we can write:

x + y = 80.

Let's assume each x(cow) has 4 legs and each y(duck) has two legs.

Then we can add the numbers of legs:

2x + 4y = 248 legs

Now rearrange x + y = 80 to:

x = 80-y

and substitute:

2x + 4y = 248 legs

2(80-y) + 4y = 248 legs

160 - 2y + 4y = 248 legs

2y = 88 legs

y = 44 [There are 44 cows]

Use this value to find the number of ducks:

x + y = 80

44 + y = 80

y = 36 [There are 36 ducks]

========================

Check:

Do 44 cows and 36 ducks have a total of 248 legs?

4*44 + 2*36 = 248 ?

176 + 72 = 248?

YES

4 0

2 years ago

What is the answer to 10x - 5y = 30 because I keep looking and everyone is giving different answers.

11Alexandr11 [23.1K]

Answer:

Step-by-step explanation:

10 x 6 = 60

5 x 6 = 30

60 - 30 = 30

5 0

3 years ago

I don’t know how to find the equation for this problem

Elis [28]

Try y=3/2x + 3/2

rise over run is 12/8 which simplifies to 3/2

and the y intercept is 1.5 or 3/2

6 0

3 years ago

PLS HELP ME ASAP FOR 37!! (MUST SHOW WORK!!) + LOTS OF POINTS!! *no calculator*

Jlenok [28]

The answer is 8.the photos attached help

7 0

3 years ago

A regression equation for this line is y = -0.42x + 19.26 a. What do the slope and y-intercept indicate? The slope indicates tha

qaws [65]

Answer:

B.The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%.

Step-by-step explanation:

A regression equation is it this form:

Y' = b0 + b1X

I am going to identify the slope and intercept in this equation to help us go further in our solution.

b1X is the slope. The slope usually has an x value multiplied to it

b0 is the intercept.

Back to our question, the equation in this question is

Y = -0.42X + 19.26

The slope is -0.42X.

The y intercept is 19.26

The slope has a negative sign, this shows us that the percentage is falling by about 0.4% every year while an intercept of 19.26 tells us that percentage in 1985 should have been about 19%.

I hope you found my solution useful?

8 0

4 years ago