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artcher [175]
3 years ago
6

Given cos 0 = 3/5 and 0 is in Quadrant I, what is the value of tan 0 ?

Mathematics
1 answer:
olga_2 [115]3 years ago
4 0

Answer:

4 / 3

Step-by-step explanation:

cos θ = 3 / 5

cos 53 = 3 / 5

θ = 53

tan θ = sin θ / cos θ

sin 53 = 4 / 5

tan 53 = sin 53 / cos 53

= ( 4 / 5 ) / ( 3 / 5 )

= ( 4 / 5 ) x ( 5 / 3 )

= ( 4 x 5 ) / ( 5 x 3 )

tan 53 = 4 / 3

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A ferris wheel goes around once every 20 seconds . How many times will a rider be ag thetop during an 8-minuteride?
allsm [11]

Answer:

The answer is B.

Step-by-step explanation:

There are three 20 second time periods in 1 minute. Three times eight is equal to 24.  

8 0
3 years ago
A Child’s Growth and Prosperity
MArishka [77]

Answer:

a) 0.75 inch/month

b) y-20 = 0.75(x-4)

c) 17 inches

d) 44

a) 0.8 inch/month

b) yes

c) y = 0.8x + 18.8

d) 18.8 inches

Step-by-step explanation:

a) (21.5-20)/(6-4) = 1.5/2

= 0.75 inch/month

If this is correct, 2 months after the 6th month (month 8), it should be

21.5 + 2(0.75) = 23

Which it is

b) y-y1 = m(x-x1)

Where y is the length, x is the months, m is the slope and (x1,y1) is a known point

At x = 4, y = 20

y-20 = 0.75(x-4)

Or

y = 0.75x + c

20 = 0.75(4) + c

c = 20 - 3 = 17

y = 0.75x + 17

c) at birth, 4 months before month 4

So, 20 - 0.75(4) = 17

Which is also the y-intercept

d) y = 0.75(36) + 17

y = 27 + 4 = 44 inches

Generally, at the age of 3 years (36 month) the length is between 35 and 40 inches

a) slope = (30-22)/(14-4)

= 0.8 inch/month

b) 0.8 > 0.75, so yes

c) When x = 4, y = 22

y-22 = 0.8(x - 4)

y - 22 = 0.8x - 3.2

y = 0.8x + 18.8

y-intercept is 18.8

d) at birth, x = 0.

Length was 18.8 inches

Step-by-step explanation:

6 0
2 years ago
What is the slope !!!!!
Ratling [72]
Hello there! Slope is rise/run. The formula for finding slope is y2 - y1/ x2 - x1, meaning that you subtract the first x and y-coordinates from the second x and y-coordinates. We'll use the points (0, 3) and (3, 2) for this case. Plug in the values into the formula to get this:

2 - 3 / 3 - 0

Subtract the values in order to get -1/3. There. The slope of the line is -1/3.
6 0
3 years ago
What is 2(5)+3(4)+5^2? (The ^ means the exponent)
castortr0y [4]
I believe the answer is 47.
6 0
3 years ago
select true or false to tell whether the following conditional pq is true or false. use the truth table if needed. if dogs have
r-ruslan [8.4K]

Answer:

5

Step-by-step explanat

that's true dog have 4 and cat so

if you said dog is 5 then cat 5

8 0
3 years ago
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