Answer:
r = 12
Step-by-step explanation:
From the figure attached,
QP is a tangent to the circle O at the point P.
Therefore, by the property of tangency,
OP ⊥ QP
By applying Pythagoras theorem In right triangle QPO,
(Hypotenuse)² = (Leg 1)² + (Leg 2)²
(OQ)² = (OP)² + (PQ)²
(25 + r)² = (35)² + r²
625 + r² + 50r = 1225 + r²
50r = 1225 - 625
50r = 600
r = 12
Therefore, r = 12 units is the answer.
Answer:
12.78 units
Step-by-step explanation:
The formula for arc length =
2πr × θ/360
From the question:
θ = 122°
r = 6 units
Therefore, the arc length =
2 × π × 6 × (122/360)
= 12.775810125 units
Approximately to the nearest hundredth = 12.78 units
Therefore, the length of arc CE is 12.78 units
Hey! Since there are three balloons that haven't been blown up, 1/4 of the balloons need to be blown up. Have a great day!
she took four tests with one more to take totals 5 tests
88 x 5 = 440
all her tests need to equal at least 440 to get an 88 average
since she has 85 average after 4, 85*4 = 340, so her 4 tests so far have equaled 340
440-340 = 100
she will need to get a 100 on her 5th test to have an 88 average