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olga55 [171]
3 years ago
14

F(x)=3x^0.4 find f(32)

Mathematics
1 answer:
lana66690 [7]3 years ago
6 0
You just replace the x with 32 and you’ll get f(32)=3/8
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Determine the surface area of each triangular prism. Round to the nearest tenth if necessary.
slamgirl [31]

Answer:

  1. 108 cm^2
  2. 211.2 cm^2
  3. 308.8 mm^2
  4. 560 yd^2

Step-by-step explanation:

In each case, you can use the given formula to find the surface area. The area of the triangular base (B) is ...

  A = 1/2bh

where b is the base of the triangle, and h is the height of the triangle perpendicular to that base.

You will notice that B is multiplied by 2 in the area formula, because there is a triangular base at either end of the prism. That means we can save some work by not multiplying by 1/2, and then by 2.

__

For figures 1, 3, 4, the triangle is a right triangle, so the base and height make up two of the three sides of it. The perimeter is finished by adding the length of the hypotenuse. That sum is then multiplied by the "height" of the prism (distance between bases) to find the lateral area as part of the area formula (Ph).

In figure 3, the triangle is equilateral, so the perimeter is not the sum of the base and height and a third side. In the attached spreadsheet, we have used a value "rest of perimeter" to make the sum be the right value for use in computing the value of Ph. For figure 3, that is 6+6-5.2=6.8. Then the sum 6 +5.2 +6.8 is 18, the proper perimeter for that figure.

__

The idea here is to let a spreadsheet do the tedious work of applying the same formula to different sets of numbers. The areas are ...

  1. 108 cm^2
  2. 211.2 cm^2
  3. 308.8 mm^2
  4. 560 yd^2

__

By way of example, we can "show work" for problem 1:

1. S = Ph +2B

  S = (4 +3 +5)(8) +2(1/2)(4)(3) = 12(8) +12 = 96 +12 = 108 . . . cm^2

4 0
2 years ago
Read 2 more answers
What is the value of x?
olga_2 [115]

Answer:

<x = 20°

Step-by-step explanation:

<x = 1/2(arc UT - arc SV)

<x = 1/2(65° - 25°)

<x = 1/2 (40°)

<x = 20°

3 0
3 years ago
Please help with #2 I’m struggling and can someone please explain and give answer??!!!!
MatroZZZ [7]

Check the picture below.

8 0
2 years ago
The admission fee for a charity event is $7 for children and $10 for adults. The event was attended by 700 people, and the total
maria [59]
If all were children, revenue would be 700*$7 = $4900. Revenue is actually $6400 -4900 = $1500 more than that. Each adult admission that replaces a child's admission adds $10 -7 = $3 to the revenue, so there must have been
  $1500/$3 = 500 . . . . adult admissions

There were 200 children at the show.
There were 500 adults at ths show.
6 0
3 years ago
Read 2 more answers
Determine if line jk and line lm are parallel perpendicular or neither​
frez [133]

Answer:

what are you talking about

7 0
3 years ago
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