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bogdanovich [222]
3 years ago
9

Each lap of the track at Oak Middle School is 1/4 of a mile. Jacob jogged around the track and completed 9 laps in 30 minutes.

Mathematics
1 answer:
nata0808 [166]3 years ago
4 0
<span>Figure out what distance was walked if he walked 7 laps at 1/4 mile each (7/4 of a mile). Divide that by the 30 minutes and then convert that to miles per hour. 
</span>Hope this helps :)
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Prove that:- (1-sinA)(1+sinA)÷(1+cosA)(1-cosA)=cot^2A​
astraxan [27]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1 , then

sin²x = 1 - cos²x and cos²x = 1 - sin²x

Consider the left side

\frac{(1-sinA)(1 + sinA)}{(1+cosA)(1-cosA)} ← expand numerator/denominator using FOIL

= \frac{1-sin^2A}{1-cos^2A}

= \frac{1-(1-cos^2A)}{1-(1-sin^2A)}

= \frac{1-1+cos^2A}{1-1+sin^2A}

= \frac{cos^2A}{sin^2A}

= cot²A = right side , thus proven

6 0
3 years ago
a meteorologist measures the angle of elevation of a weather balloon with the ground as 41. A radio signal from the balloon indi
Aneli [31]
Here you would use right triangle trig (SOH CAH TOA)
So first draw a right triangle. Imagine youre standing at the angle opposite the right angle which is the one on the ground.This angle is the 41°. Now Imagine the balloon is as the angle above the right triangle. Well since the balloon is 1503 m from his location this would be the hypotenuse. SInce we are trying to find the height (x) we would use sine since
sine = opposite/hypotenuse . Now lets solve make sure calculator is in degree mode:

sin41 = x/1503      multiply both sides by 1503 to cancel it out
1503sin41 = x        plug into calculator
x = 986.057 ft
The balloon is 986.057 feet above the ground.


6 0
3 years ago
Read 2 more answers
Simplify the expression: 3(2x2 + 7x + 4) - 8x2 + 15
Softa [21]

Answer:

-2x² + 21x + 27

Step-by-step explanation:

distribute 3 to get:

(6x² + 21x + 12) - 8x² + 15

combine 'like terms' to get:

-2x² + 21x + 27

5 0
3 years ago
Suzanne needs material for her school project. She buys 5.50 yards of material at $3.87 a yard. What is the total cost of the ma
ASHA 777 [7]
   5.50
x 3.87
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21.285
5 0
3 years ago
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What is the sguare root of 54
riadik2000 [5.3K]
Sq root (54) =
sq root (9*5) =
3 * sq root (5)

8 0
3 years ago
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