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Juli2301 [7.4K]
3 years ago
14

The circumference of a spherical pincushion is 2 cm pi. Find the surface area of the pincushion. Express your answer in terms of

pi.
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0
The equation for circumference is C=pi*d (d=diameter)
So then we can plug in what we know:
2=pi*d
So then the diameter is equal to 2/pi (radius=1/pi)

Now the equation of surface area for a sphere is SA=4*pi*r^2
So we can plug in what we know:
SA=4*pi*(1/pi)(1/pi) 
Some of the pi's cancel out so you are left with
SA=4/pi
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X=-2 or ×=-8 in factored form<br>​
Katen [24]

Answer:

Step-by-step explanation:

3 0
3 years ago
A motorboat travels 168 kilometers in 4 hours going upstream. It travels 280 kilometers going downstream in the same amount of t
Grace [21]

Answer:

The speed of the boat is 56 km/hr

The rate of the current is 14 km/hr

Step-by-step explanation:

We are given the following;

  • Distance traveled upstream = 168 km
  • Time taken to travel upstream = 4 hours
  • Distance traveled down stream = 280 km
  • Time taken down stream = 4 hours

We are required to determine the speed of the boat in still water and the speed of the current.

We are going to take;

Speed of the boat as = x km/hr

Rate of flow of current = y km/hr

We can determine the speed of the boat upstream;

Speed = Distance ÷ time

               = 168 km ÷ 4 hours

               = 42 km/hr

But, the speed upstream is given by (x - y) km/hr

Therefore; ( x-y) km/hr = 42 km/hr ......................... Eqn 1

Speed of the boat down stream

    speed = 280 km ÷ 4 hours

                = 70 km/hr

But, the speed downstream is given by (x+y) km/hr

Therefore, x+y km/hr = 70 km/hr ........................... Eqn 2

Solving Eqn 1 and Eqn 2 simultaneously;

x - y = 42

x + y = 70

Eliminating x

-2y = - 28

    y = 14 km/hr

Solving for x,

x = 42 + y

   = 42 + 14

   = 56 km/hr

Therefore, the speed of the boat is 56 km/hr while the rate of the current is 14 km/hr

8 0
4 years ago
Please Helppp!!! It was due Yesterday
Rom4ik [11]

Answer:

I really can't help ya

Step-by-step explanation:

Is to do your research

7 0
4 years ago
In ΔJKL, the measure of ∠L=90°, JL = 24, LK = 7, and KJ = 25. What is the value of the sine of ∠K to the nearest hundredth?
podryga [215]

<u>Given</u>:

Given that JKL is a right triangle.

The measure of ∠L is 90°

The length of JL = 24, LK = 7, and KJ = 25.

We need to determine the value of sine of ∠K.

<u>Value of sin ∠K:</u>

The value of sin ∠K can be determine using the trigonometric ratio.

Thus, we have;

sin \ \theta=\frac{opp}{hyp}

Substituting \theta=K, the side opposite to angle K is JL and the hypotenuse is JK

Thus, we have;

sin \ K=\frac{JL}{JK}

Substituting JL = 24 and JK = 25, we get;

sin \ K=\frac{24}{25}

Simplifying, we get;

sin \ K=0.96

     K=sin^{-1}(0.96)

     K=73.74^{\circ}

Thus, the measure of sine of ∠K is 73.74°

6 0
4 years ago
What is 89-99•99-102
kicyunya [14]
Greetings!

Follow PEDMAS:
Parenthesis
Exponents
Division/Multiplication
Addition/Subtraction

89-99*99-102
Multiply 99*99.
89-9801-102
Subtract from Left to Right.
-9712-102
The Answer Is:
-9814

Hope this helps.
-Benjamin

4 0
3 years ago
Read 2 more answers
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