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3 years ago

Find the surface area of the figure. PLEASE HELP!

Mathematics

1 answer:

olya-2409 [2.1K]3 years ago

6 0

Answer:

The total surface area is: 468 in^2 which agrees with answer a)

Step-by-step explanation:

The three lateral faces of the prism are rectangles, and the sums of their areas give:

12 * 10 + 9 * 10 + 15 * 10 = 360 in^2

The area of each triangular base (notice it is a right triangle) is given by:

9 * 12 / 2 = 54 in^2, so we add TWO of these to the three rectangular faces:

Total surface = 360 in^2 + 2 * 54 in^2 = 468 in^2

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A textbook store sold a combined total of

omeli [17]

M+p=475
m=p-61
replace m in equation 1 with p-61: p-61+p=475
2p=475+61=536
p=268
m=207

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3 years ago

How many whole servings of 3/4 cups are in 3 1/2 cups of ice cream?

Kisachek [45]

Well, what you're going to do is.. turn 3 1/2 into an irregular fraction.

3 = 6/2
we still have the initially 1/2 left so we will add that.
7/2

now we want to change it so that the denominator is equal to 4 so we multiply both top and bottom by 2

14/4

now we divide the 14 by 3 and you will get approximately 4. we will ignore the rest because it asks for whole servings and 3 only goes nicely into 14 4 times

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3 years ago

How do I find the function that corresponds to this graph?

Vikentia [17]

Th graph of ln x is same shape as this excepts its pass through the point (1,0) and has an asymptote x = 0

THis graph is the graph of ln x moved 1 unit to the left so its

y = ln (x + 1)

4 0

3 years ago

What is the perimeter and area of the photo below? And please show me how you did it. I need it for a school math group, and I’m

adoni [48]

Answer:

Assuming the area is made up of a square and a semicircle.

<u>Perimeter</u>

The side length of the square = 18 ft

We can see 3 full side lengths plus one side length from which we need to subtract 12 ft (see attached diagram).

⇒ perimeter of the square = (3 x 18) + (18 - 12)

= 54 + 6

= 60 ft

Circumference of a circle = $\pi$ d (where d is the diameter)

⇒ arc length of the semicircle = 1/2 circumference

= 1/2 · $\pi$ · 12

= 6 $\pi$ ft

Total perimeter = 60 + 6 $\pi$ = 78.8 ft (nearest tenth)

Area of a square = s² (where s is the side length)

⇒ area of square = 18²

= 324 ft²

Diameter = 2r ⇒ r = 1/2 diameter

Area of a circle = $\pi$ r² (where r is the radius)

⇒ area of the semicircle = 1/2 · $\pi$ · 6²

= 18 $\pi$ ft²

Total area = 324 + 18 $\pi$ = 380.5 ft² (nearest tenth)

6 0

2 years ago

6p > 5p -3 in the simplest form

Alex

Answer:

Inequality Form:

p > -3

Hope this helps!

Step-by-step explanation:

6p - 5p is 1p but you only but p and -3 stays there.

6 0

3 years ago