All categories

3 years ago

Find the diameter of a semicircle with an area of 76.97 square yards

2 answers:

6 0

Circle Area = PI*r^2
Semi Circle Area = (PI*r^2)/2
76.97 = (PI*r^2)/2
76.97 * 2 / PI = radius^2
radius^2 = 76.97 * 2 / PI
radius^2 = 153.94 / PI
radius^2 = 49
radius = 7
Diameter = 14 yards

Neporo4naja [7]3 years ago

3 0

Answer:

14 yards

Step-by-step explanation:

The area of a semi circle is given by:

$A = \frac{1}{2} \pi r^2$

where, r is the radius of the semi-circle.

It is given that:

A = 76.97 sq. yards

$\Rightarrow \frac{1}{2} \pi r^2=76.97 \\ \Rightarrow r = \sqrt{\frac{2\times 76.97}{\pi}} = 7 \text { yards}$

We know that diameter is twice of radius.

Thus, diameter of the semicircle is, d = 2 × 7 = 14 yards.

You might be interested in

En un consultorio medico infanfil se consultas mensualmente a 160 pacientes si la razon de cada 8 paciente 5 son niñas A ¿cuanto

Rainbow [258]

Answer: 60 of the patients are boys.

Step-by-step explanation: According to what is described, 5 in 8 patients are girls, then: 8 - 5 = 3, i.e., 3 in 8 are boys.

Mathematically the proportionality is $\frac{3}{8}$

If 160 patients have appointments per month and $\frac{3}{8}$ are boys:

160. $\frac{3}{8}$ = 60

Per month, 60 boys have appointments at the medical office.

6 0

3 years ago

Please give me the answer quick

Vlada [557]

Answer:

MON= 57

Step-by-step explanation:

5x-23+3x-15=90

8x-38=90

8x=128

x=16

PLUG 16 INTO MON EQUATION

5(16)-23=57

therefore,

MON=57

USE COMPLEMENTARY FOR PROBLEMS LIKE THIS :)))

(btw, assuming that the angle is 90 degrees)

3 0

3 years ago

the price of milk found by dividing its cost in cents by its volume in gallon. what are the units in words?

Flura [38]

Answer:

gallons and cents

Step-by-step explanation:

These are the things you can basically measure.

6 0

3 years ago

Read 2 more answers

1. a line with a slope of 1/3 passes through the point (3, 6) . which point also lies on this line?

valentina_108 [34]

1) Substituting into point-slope form, the equation of the line is y-6=⅓(x-3), which rearranges to:

y-6 = ⅓x - 1
y = ⅓x + 5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

3 = ⅓(6) + 5 -> 3 = 7, which is false.
6 = ⅓(7) + 5 -> 6 = 22/3, which is false.
-3 = ⅓(-3) + 5 -> -3 = 4, which is false.
3 = ⅓(-6) + 5 -> 3 = 3, which is true.

So, the answer is (4) (-6, 3)

2) Substituting into point-slope form, the equation of the line is y - 5 = ¾(x-2), which rearranges to:

y - 5 = 0.75x - 1.5
y = 0.75x + 3.5

So, we can now substitute in the coordinates of each of the options to see which point lies on the line.

8 = 0.75(6)+3.5 -> 8 = 8, which is true.
9 = 0.75(5) + 3.5 -> 9 = 7.25, which is false.
1 = 0.75(-1) + 3.5 -> 1 = 2.75, which is false.
2 = 0.75(6) + 3.5 -> 2 = 8, which is false.

So, the answer is (1) (6, 8).

3 0

2 years ago

Can someone please send it <33

katovenus [111]

Answer:

Send what?

Step-by-step explanation:

I need a better question

7 0

3 years ago

Read 2 more answers

﻿Find the diameter of a semicircle with an area of 76.97 square yards

Find the diameter of a semicircle with an area of 76.97 square yards