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vesna_86 [32]
2 years ago
13

angle 0 is in quadrant 1 with sin0 = 2/5. Use the Pythagorean identity, sin^2 0 + cos^2 0 = 1, to calculate the value of cos0 as

a radical.
Mathematics
1 answer:
Gwar [14]2 years ago
7 0
We know that
sin²x+cos²x=1
so 
clear cos x
cos x=(+/-)√[1-sin²x]

in this problem
<span>Angle 0 is in quadrant 1 -----> cos o and sin o are positive
</span>sin o=2/5
cos x=√[1-(2/5)²]----> cos o=√[1-4/25]----> cos o=√[21/25]---> cos o=√21/5

the answer is
cos o=√21/5

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The average speed to go by car from home to college is 30 miles per hour. The average speed to go back home from college is 20 m
Levart [38]

Answer:

24 mph for both 60 miles and 40 miles.

Step-by-step explanation:

We need to find how long it takes to get to college and from it.

Speed x time (x) = Distance (60)

30x = 60

x=2

It takes two hours to get to college

20x = 60

x = 3

It takes 3 hours to get back. It's a total of 5 hours, 2 hours at 30mph and 3 at 20. Now we need to find the average

30+30+20+20+20=120

120/5= 24

The average speed for the round trip is 24.

To do the second part, we follow the same process, but replace 60 with 40 for distance.

30x=40

x= 1.33

20x=40

x=2

We can add the total distance and divide by total time to find the average.

The total distance is 80. Time is 3.33

80/3.33=24

The average speed is still 24.

3 0
3 years ago
DESPERATE! PLEASE HELP!! BRAINLIEST! Show how you got answer please!
frosja888 [35]
43 units
count all the square boxes. count the boxes covering more than half and leave the boxes covering less than half. I hope it's correct.
5 0
2 years ago
Erica is buying a $205,000 home. She has decided to purchase 2 points in order to lower her interest rate. The appraisal fee is
victus00 [196]
2 points=2%=0.02
205000×0.02=4,100 cost of 2 points

Closing costs is
4,100+450+575+600
=5,725....answer

Hope it helps!
8 0
2 years ago
Read 2 more answers
What the answer for tje pythagorean
Aleks04 [339]
X^2 = 8^2 + 5^2
x^2 = 64 + 25
x^2 = 89
x = <span> <span> <span> 9.4339811321 </span> </span> </span>


7 0
3 years ago
Melvin is pushing a tire during workout with the dimensions shown how many square inches of space has a tire covered after Melvi
valentina_108 [34]

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, but I would show you how to solve it.

Solution:

A circle is the locus of a point such that its distance from a fixed point which is its center is always constant.

The tire has the shape of a circle. Therefore the distance the tire covers if it is pushed around once is the same as the circumference of the tire. The circumference is given by:

Circumference = 2πr; where r is the radius of the tire

Let us assume that the tire has a radius of 7 cm. Hence:

Circumference = 2π(7) = 44 cm

If the tire moves around 5 times, the distance covered = 5 * circumference of tire = 5 * 44 cm = 220 cm

6 0
3 years ago
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