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mash [69]
3 years ago
9

Find the circumference given the area = 437.4 in². Use 3.14 for π as necessary.

Mathematics
2 answers:
Hatshy [7]3 years ago
7 0

Answer:

Circumference = 74.2924 inches.

Step-by-step explanation:

Given : area = 437.4 in².

To find : Find the circumference .

Solution : We have given  area = 437.4 in².

Area =  π (radius)².

π (radius)² = 437.4 in².

3.14  (radius)² = 437.4 in².

On dividing both sides by 3.14

(Radius)² = \frac{437.4}{3.14}.

(Radius)² = 139.299.

On taking square root both sides

Radius = 11. 83 inches

Circumference = 2 * π * radius .

Plug the values

Circumference = 2 * 3.14 * 11.83 .

Circumference = 74.2924 inches.

Therefore, Circumference = 74.2924 inches.

Stells [14]3 years ago
5 0

the circumference would be around74.1197 but you can round it down depending on the decimal place needed. The math 437.4/3.14= 139.2993630573248 then find the quare root of it =11.80251511574227=r r x 3.14 =37.0598974634374 x 2 = c

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A bullet is fired straight up from a gun with initial velocity 1120 feet per second at an initial height of 8 feet. Use the form
Dafna1 [17]

Answer:

70 seconds

Step-by-step explanation:

Given that;

The initial velocity v_o of the bullet fired = 1120 ft/s

Initial height h = 8 feet

The expression to determine how many seconds it takes the bullet to hit the ground is:

h = -16t^2 +v_ot + 8

Thus;

Replacing the value of v_o =  1120 and h = 0 (i.e. when h =0) in the above expression; we have:

0= -16t^2 +(1120)t + 8

=  -16t^2 +(1120)t + (8-0)

= -16t² + 1120t + 8

mulitiply through by (-)

= 16t² -1120t - 8

Divide through by 8

= 2t² -  140t - 1

The above expression forms a quadratic equation.

where;

a = 2

b = -140

c = - 1

So, by using the quadratic formula \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}, we have:

= \dfrac{-(-140) \pm \sqrt{(-140)^2-4(2)(-1)}}{2(2)}

= \dfrac{140 \pm \sqrt{19600-(-8)}}{4}

= \dfrac{140 \pm \sqrt{19608}}{4}

= \dfrac{140 \pm 140}{4}

=\dfrac{140+ 140}{4} \ \ \ OR \ \ \  \dfrac{140-140}{4}

=\dfrac{280}{4} \ \ \ OR \ \ \  0

= 70

Thus, the time (in seconds) it took the bullet to it the ground = 70 seconds

6 0
3 years ago
For numbers 19 and 20 you have to solve for the missing angle.​
Illusion [34]

Answer:19. 17 degrees

20. 49 degrees

Step-by-step explanation:

Because of the postulate 50+?=67

So ?=17

And 20.

94+?=143

So

?=49

(Edit)I though you only meant 19 and 20

21. X=8

22. X=12

23.x=8

24.x=7

7 0
3 years ago
Determine the equations of the vertical and horizontal asymptotes, if any, for y=x^3/(x-2)^4
djverab [1.8K]

Answer:

Option a)

Step-by-step explanation:

To get the vertical asymptotes of the function f(x) you must find the limit when x tends k of f(x). If this limit tends to infinity then x = k is a vertical asymptote of the function.

\lim_{x\to\\2}\frac{x^3}{(x-2)^4} \\\\\\lim_{x\to\\2}\frac{2^3}{(2-2)^4}\\\\\lim_{x\to\\2}\frac{2^3}{(0)^4} = \infty

Then. x = 2 it's a vertical asintota.

To obtain the horizontal asymptote of the function take the following limit:

\lim_{x \to \infty}\frac{x^3}{(x-2)^4}

if \lim_{x \to \infty}\frac{x^3}{(x-2)^4} = b then y = b is horizontal asymptote

Then:

\lim_{x \to \infty}\frac{x^3}{(x-2)^4} \\\\\\lim_{x \to \infty}\frac{1}{(\infty)} = 0

Therefore y = 0 is a horizontal asymptote of f(x).

Then the correct answer is the option a) x = 2, y = 0

3 0
4 years ago
Read 2 more answers
I NEED HELP! PLEASE! I WILL GIVE OUT BRAINLIST IF CORRECT!
Lisa [10]

Answer:

A reflection on the y axis, then a reflection on the x axis, then a translation of 7 units to the left

Step-by-step explanation:

plz mark me as brainliest

8 0
3 years ago
How can I solve this?
Eva8 [605]

Answer:

they are congruent so 47 is also the measurement for its corresponding angle(aka the corner that doesn't have a variable)

and in a triangle, interior angles add to 180 so 47+x+y=180

90 + 43 = 133

+47= 180

so your answer is a

hope this helps!!

8 0
3 years ago
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