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ad-work [718]
4 years ago
6

Consider the circle with a 4 centimeter radius. If the length of major arc RT is 64 9 π, what is the measure of ∠RST?

Mathematics
2 answers:
grin007 [14]4 years ago
8 0
25 degrees is the correct answer
Drupady [299]4 years ago
6 0

Answer: The answer in 20° in USA TestPrep

Step-by-step explanation:

S=2πr× n°/360°

n°=360s/2πr= 360(64π/9)/2π(4)=320

This,∆H=360-320=40

Then, ∆RST=1/2 ∆H= 1/2(40)=20

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The diffrence between the roots of the equation 2x^2-5x+c=0 is 0.25 find c
kumpel [21]

Answer:

  • c = 3.09375

Step-by-step explanation:

<u>Standard for of quadratic equation:</u>

  • ax² + bx + c = 0

<u>We have </u>

  • 2x² - 5x + c = 0

<u>Sum of the roots </u>

  • x₁ + x₂ = - b/a = -(-5)/2 = 2.5

<u>Product of the roots </u>

  • x₁x₂ = c/a = c / 2

<u>We have:</u>

  • x₁ - x₂ = 0.25

<u>The square of the above is:</u>

  • (x₁ - x₂)² = (x₁ + x₂)² - 4x₁x₂

<u>Substitute known values and solve for c:</u>

  • 0.25² = (2.5)² - 4(c/2)
  • 2c = 6.25 - 0.0625
  • 2c = 6.1875
  • c = 3.09375
6 0
3 years ago
Lines m and pare parallel. If the slope of line mis
Step2247 [10]

Answer:

The slopes of line m and p will be the same: 1/25 (I think thats what that says)

Step-by-step explanation:

when two lines are parallel it means they will never touch, and so they must have the same slope. If their slopes were different (even by 1 decimal), they would touch and so would no longer be parallel.

3 0
3 years ago
The measurement of the width of a garden plot is 44 m. Its actual width is 45.5 m.
Stolb23 [73]
I hope this helps you

7 0
3 years ago
Rectangle abcd is similar to rectangle pqrs given that ab =14cm bc =8cm and pq=12cm calculate the length of qr
ohaa [14]

Answer: 6.8571 (Round as needed)

Hope this is correct

Step-by-step explanation:

This is a simple ratio problem

Using the similarity statement we can say 14:12, (ab:pq)

That is our ratio.

So we do 14/12 = 8/x, we solve this using algebra to get our answer.

Hope this is correct.

7 0
3 years ago
-3/x-3 +2/x-7 =1 please help
nydimaria [60]

Answer:

Exact Form:

x = −1/11

Decimal Form:

x = −0.09

6 0
3 years ago
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