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Komok [63]
3 years ago
9

Please help! i was wondering how you would solve this question!

Mathematics
1 answer:
Anon25 [30]3 years ago
4 0

Answer:  C.  150 km²

<u>Step-by-step explanation:</u>

Use similar triangle proportion to find x:

\dfrac{x}{4.5}=\dfrac{15.3+7.4}{7.4}\\\\\\x=\dfrac{4.5(22.7)}{7.4}\\\\\\x=13.8\\\\\text{Notice that x is the diameter of the circle}\implies r=\dfrac{13.8}{2}=6.9\\\\\\\text{Find the area of the circle using }A=\pi r^2\\A=\pi (6.9)^2\\\\.\ =\pi (47.6)\\\\.\ =149.6\\\\.\ \approx150

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Please help me with this
Serga [27]

Answer:

11 sq.ft

Step-by-step explanation:

∅= 80×π/180= 4π/9

area= 1/2 × r²× ∅

= 1/2 × 16 × ∅

= 8∅

=8×(4π/9)

= 32π/9

= 11.17 ~11

6 0
3 years ago
The area of a rectangular wall of a barn is 42 square feet. Its length is 8 feet longer than twice its width. Find the length an
Furkat [3]

Answer:

The answer to your question is: length = 14 ft; width = 3 ft

Step-by-step explanation:

Data

Area = 42 ft²

length = 8 + 2w

w = width = ?

length = ?

Formula

Area = length x width = l x w

Substitution

                     42 = (2w + 8)w

                     42 = 2w² + 8w

                     2w² + 8w - 42 = 0

                                                                  Dividing by 2

                      w² + 4w - 21 = 0                 Factorize

                     (w + 7) (w - 3) = 0

                     w1 = -7                      w2 = 3

     It's not possible to have negative widths

So the answer is w = 3 ft

      length = 2(3) + 8

      length = 6 + 8

      length = 14 ft

               

8 0
3 years ago
Last week, Bill ran 900 meters on each of 3 days. Between last week and this week, bill wants to run a total of 6 kilometers. Ho
laila [671]
For the 3 days he ran a total of :  3 * 900 = 2700 meters.

1000 meters = 1 kilometers

2700 meters = 2700 / 1000 = 2.7 kilometers.

Between last week and this week, Bill ran a total of 6 kilometers.

How far he ran this week = 6 - 2.7 = 3.3 kilometers.

Option C.
7 0
3 years ago
The radius of the cone is 3 in and y = 5 in. What is the volume of the cone in terms of π?
Tcecarenko [31]

Answer:

  12π in³

Step-by-step explanation:

The right triangle formed by the radius (r), height (x), and slant height (y) is a 3-4-5 right triangle, with the dimension 4 inches being the perpendicular height from the base to the apex. That is, the Pythagorean theorem tells us ...

  r² + x² = y²

  x = √(y² -r²) = √(25 -9) = 4 . . . inches

The formula for the volume of a cone is ...

  V = (1/3)πr²h . . . . . . . . h is the height, what you call x

Your cone has r = 3 in, h = 4 in. Filling in these numbers and simplifying, we get ...

  V = (1/3)π(3 in)²(4 in) = 12π in³

The volume of the cone is 12π cubic inches.

6 0
3 years ago
Read 2 more answers
Please help thank you
worty [1.4K]

Answer:

Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named as Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.

7 0
3 years ago
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