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KonstantinChe [14]
3 years ago
12

How do you find the surface area for this shape?

Mathematics
1 answer:
fgiga [73]3 years ago
3 0

Answer:

  • total area is the total of the areas of each of the rectangular surfaces
  • 67 units²

Step-by-step explanation:

Add up the surface areas of each of the 6 faces.

There are two top/bottom faces with the same area, two left/right faces with the same area, and two front/back faces with the same area. So you only need to figure the areas for 3 faces, then multiply that sum by 2. Of course the area of each rectangle is the product of its length and width. For length, width, and height dimensions L, W, and H, the total area is ...

A = 2(LW +WH +LH)

  = 2(LW +H(L+W)) . . . . . I like this form because there's one less multiplication

  = 2(5·4 + 1.5(5+4)) = 2(20 +13.5)

A = 67 . . . units²

_____

<em>Comment on dimensions</em>

It does not matter which number you use for length, width, or height. The problem is symmetrical that way, so any of the dimensions can be called any of those things. You need to use the same number consistently for height (for example) once you have made the choice of which is which.

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Creating an Exponential Model
belka [17]

Answer:

P = $300

r = 0.15

n = 12

$544.61  (to the nearest cent)

P(1+r)^t

$524.70  (to the nearest cent)

Step-by-step explanation:

P = principal amount = $300

r = annual interest rate in decimal form = 15% = 15/100 = 0.15

n = number of times interest is compounded per unit t = 12

<u>How much she'll owe in 4 years</u>

P = 300

r = 0.15

n = 12

t = 4

P(1+\frac{r}{n})^{nt}=300(1+\frac{0.15}{12})^{12 \times 4}

= $544.61  (to the nearest cent)

<u>Yearly compounding interest rate</u>

P(1+r)^t

<u>How much she'll owe in 4 years at yearly compounding interest</u>

P(1+r)^t=300(1+0.15)^4

= $524.70  (to the nearest cent)

7 0
2 years ago
Simplify write in scientific notation 0.5(8x10^5)
Oksi-84 [34.3K]
10 to the 5th power means 5 times zero, place 8 before that and it will be 800000 then multiply with 0.5 it will be 400000. In scientific notation it will be like 4x10 the 5th power.
7 0
3 years ago
Read 2 more answers
Find the sum of 1 + 3/2 + 9/4 + …, if it exists.
zmey [24]

Answer:

Option (4)

Step-by-step explanation:

Given sequence is,

1+\frac{3}{2}+\frac{9}{4}..........

We can rewrite this sequence as,

1+\frac{3}{2}+(\frac{3}{2})^2.............

There is a common ratio between the successive term and the previous term,

r = \frac{\frac{3}{2}}{1}

r = \frac{3}{2}

Therefore, it's a geometric sequence with infinite terms. In other words it's a geometric series.

Since sum of infinite geometric sequence is represented by the formula,

S_{n}=\frac{a}{1-r}  , when r < 1

where 'a' = first term of the sequence

r = common ratio

Since common ratio of the given infinite series is greater than 1 which makes the series divergent.

Therefore, sum of infinite terms of a series will be infinite Or the sum is not possible.

Option (4) will be the answer.

3 0
3 years ago
A person is standing 200ft from a tower. She can see the top of the tower at a 42 degree angle of elevation. Her eyes are 5ft ab
Oxana [17]

Answer:

C. 185 ft

Step-by-step explanation:

The work is in the attached picture file, if you need it. Basically the question sets up a right triangle, for which the base is 200 and the height is the goal that you are solving for. It is given that the angle between hypotenuse and base is 42 degrees. For this you use tangent to say that

         tan(42) = h / 200

         200 tan (42) = h

         h = 180 feet.

But then you must remember that this triangle starts 5 feet off of the ground. So you add the 5 feet and get 185 feet as the height of the tower.

6 0
2 years ago
Please help me solve!!
S_A_V [24]

Answer:

(2×1+2)+(2×2+2)+(2×3+2)+(2×4+2)

=28

8 0
3 years ago
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