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Vlad [161]
3 years ago
5

What is the radius of a circle with a central angle of 4π7 radians that intercepts an arc of length 12π inches?

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
3 0
Radian measure is given by dividing the length of an arc by the radius of a given circle. Such that an arc that subtends an angle of 1 radian to the center of a circle is equivalent to the radius of the circle. 
Therefore; θ = s/r where θ is the angle subtended in radians, s is the length of the arc and r is the radius of the circle.
Hence; r = s/θ
               =  12π ÷ (4π/7)
               = 12 × (7/4)
               = 21 inches
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The Hudson high school wrestling team just won the state tournament and have been awarded a triangular pennant to hang on the wa
Eduardwww [97]

Answer:

3 feet.

Step-by-step explanation:

  • Base of the  triangular pennant = 1.5 feet long.
  • Area of the triangular pennant = 2.25 Square feet.

Now, we know that:

Area of a Triangle=\frac{1}{2}$ X Base X Height

Substituting the given values, we have:

2.25=\dfrac{1}{2}$ X 1.5 X Height\\\\2.25=$\dfrac{1.5}{2}$  X Height\\\\Cross multiply\\\\2.25*2=1.5  X Height\\\\Divide both sides by 1.5 to solve for the height\\\\\dfrac{2.25*2}{1.5}=\dfrac{1.5  X Height}{1.5}\\\\$Height of the Triangle =3 feet

Therefore, the height of the pennant is 3 feet.

5 0
3 years ago
jenny won the ping pong championship eight more times than gerardo. they have won a combined total of 32 championship
Lena [83]
X + x +8 = 32
2x + 8 = 32
2x = 24
x = 12
So gerardo has won 12 and jenny has won 20
3 0
3 years ago
I need help figuring out the answers for this
Gennadij [26K]
<h2>Step-by-step explanation:</h2>

Interest, is an additional money paid for borrowing money. it could be simple or compound interest.

simple interest= p×T×R/100

when interest is compounded annually

F= p(1+r)^t

F= future value

p= principal

r= rate

t= time

compound interest is calculated based on the initial and accumulated interest.

<h2>interest Linda earns</h2><h3>fist year</h3>

F= p(n+r)^n

F= 10000(1+0.02)^1

F= 10000×1.02= $10200

interest= 10200-10000

interest = $200

second year

F = 10200(1+0.02)^1

F=10200×1.02= $10404

Interest= 10404-10200

interest= $204

third year

F= 10404(1+0.02)^1

F= 10404(1.02)

F = $10612.08

interest= 10612.08-10404

interest= $208.08

<h2>Bob's interest</h2><h2>I= p×t×R/100</h2>

first year

I=10000×1×0.02/100

interest= $2

second year

I= 10000×2×0.02/100

interest= $4

for the third year

I =10000×3 × 0.02/100

interest= $6

<h2>check answer above for final computation</h2>

6 0
2 years ago
Help ASAP please! Really am struggling with this topic
Travka [436]
I dont have an answer buy i need to answer a question so i can ask my question sry
7 0
3 years ago
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What is the simplified form of 24r - 3(2r - 5t) - 4t?
Drupady [299]
<span>24r - 3(2r - 5t) - 4t
= 24r - 6r + 15t - 4t
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answer
</span><span>18r + 11t</span>
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3 years ago
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