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2 years ago

A circle whose circumference is 385 units has a diameter of _____ units.

1 answer:

7 0

Since the circumference of the the circle is 385 and C= 3.14 x D(iameter), you'll have to divide the circumference and 3.14, which is 122.6

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Find the equation of the line that is perpendicular to y = 1/4 x – 2 and passes though the point (5, –2).

zlopas [31]

$\textsf{Let y = ax + b the line we want to find.}$

$\textsf{We know that the slope of y = ax + b is the inverse of the slope of } \mathsf{ y = \frac{1}{4}x - 2.}$

$\textsf{Thus:}$

$\mathsf{a = \dfrac{1}{\frac{1}{4}} = 4}$

$\textsf{As y = 4x + b passes thought (5, -2):}$

$\mathsf{-2 = 4 \cdot 5 + b \Rightarrow 20 + b = -2 \Rightarrow b = -22}$

$\textsf{Hence the line y = 4x - 22 is perpendicular to }\mathsf{y=\frac{1}{4}x - 2}\textsf{ and passes for the point (5, -2).}$

6 0

3 years ago

Read 2 more answers

A $250 item is reduced to $205. Find the percent discount

SOVA2 [1]

Answer:

18%

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

What is the approximate area of the shaded sector in the circle below

melisa1 [442]

First to find the area the formula is A=pi(r^2)
so plug in the numbers A= (3.14)(4.5)(4.5)= 63.62 is the total area

150*63.62=9543 9543/360=26.5

So the answer is 26.5 cm ^2

8 0

3 years ago

Read 2 more answers

PLZZZZZ NEED HELP!!!!!!

mylen [45]

Remember the rules of Sohcahtoa (Sine, cosine, tangent). For this problem we take the cosine of 38 because the labeled sides are the adjacent leg and the hypotenuse.

Cos(38)=79/x

Cosine of 38 is about 0.7880

0.7880=79/x

Next we multiply both sides by the denominator

(x) 0.7880=79 (x)

Then divide.

0.7880 0.7880

X=100.25

Hope this helped :)

5 0

2 years ago

A 300-lb gorilla climbs a tree to a height of 30 ft. Find the work done if the gorilla reaches that height in the following time

omeli [17]

Answer:

a) 9000 ft-lb

b) 9000 ft-lb

Step-by-step explanation:

Equation for the work:

The equation for the work done is given by:

$W = Fd$

In which F is the force needed and d is the distance. The time does not interfere on the work.

A 300-lb gorilla climbs a tree to a height of 30 ft

This means that $F = 300, h = 30$

Thus

$W = Fd = 300(30) = 9000$

The work done in both cases is of 9000 ft-lb, as the work is not a function of time.

4 0

3 years ago