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SpyIntel [72]
3 years ago
15

How would I answer this question?

Mathematics
1 answer:
salantis [7]3 years ago
3 0

Answer:

  • x = 16

Step-by-step explanation:

<u>Angle formed by two chords is the half of the sum of the intercepted arcs:</u>

  • 7x + 3 = 1/2(152 + 78)
  • 7x + 3 = 115
  • 7x = 112
  • x = 112/7
  • x = 16
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Use formulas to find the lateral area and surface area of the given prism. Round your answer to the nearest whole number.
tankabanditka [31]

Answer:

lateral area ≈ 668  m²

surface area ≈ 740 m²

Step-by-step explanation:

The lateral area of a triangular prism = perimeter of the base × height of the prism

lateral area = ph

where

p = perimeter of the base

h = height or altitude

Base edges are 8m , 9m and 12.04m and height is 23 m.

lateral area = ph

lateral area = (8 + 9 + 12.04) × 23

lateral area = 29.04 × 23

lateral area = 667.92  m²

lateral area ≈ 668 m²

Surface area

surface area = lateral area + 2B

where

B = area of it triangular bases

surface area = lateral area + 2B

surface area = 667.92   + 2(1/2 × base × height)

surface area = 667.92  + 2(1/2 × 8 × 9)

surface area = 667.92  + 2(1/2 × 72)

surface area = 667.92  + 2(36)

surface area = 667.92  + 72

surface area = 739.92  

surface area ≈ 740 m²

8 0
3 years ago
Four friends go out to eat and their meal costs $86.50. The sales tax is 6.75% and they should tip the waiter 20%. How much shou
GenaCL600 [577]
If the tax is placed on the roigial price, they should each pay around 49 dollars and 3 cents.
8 0
3 years ago
Read 2 more answers
HELP ASAP! The number of entertainment websites in 1995 wass 54. By 2004 there were 793 entertainment website..
AleksandrR [38]
<h3>Answer: Choice A. 82 websites per year</h3>

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

How I got that answer:

We have gone from 54 websites to 793 websites. This is a change of 793-54 = 739 new websites. This is over a timespan of 2004-1995 = 9 years.

Since we have 739 new websites over the course of 9 years, this means the rate of change is 739/9 = 82.1111... where the '1's go on forever. Rounding to the nearest whole number gets us roughly 82 websites a year.

----------

You could use the slope formula to get the job done. This is because the slope represents the rise over run

slope = rise/run

The rise is how much the number of websites have gone up or down. The run is the amount of time that has passed by. So slope = rise/run = 739/9 = 82.111...

In a more written out way, the steps would be

slope = rise/run

slope = (y2-y1)/(x2-x1)

slope = (793 - 54)/(2004 - 1995)

slope = 739/9

slope = 82.111....

3 0
3 years ago
Paul borrowed $360 to be repaid in one year. He paid 10% interest and a service
Art [367]

Answer:

Step-by-step explanation:

Hey, do you mean what is the final charge? If so, then look at my next steps

If you mean the final charge then first multiply 10% by 360 , basically 10/100 multiplied by $360 which is equals to $36. Since it is interest, add $36 to $360. The answer will be $396. Then you add on the $19 which would bring the total to $415.

Hehe I am no expert but this is what I did . Tried my best

4 0
4 years ago
What's the value of x if 7x-5 =5x+23
olya-2409 [2.1K]
7x-5=5x+23
7x-5x=23+5
2x=28
x=28/2
x=14
6 0
3 years ago
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