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makkiz [27]
3 years ago
11

Show that cos 30 degree + sin 60 degree / 1+ sin 30 degree + cos 60 degree is equal to cos 30 degree​

Mathematics
1 answer:
Soloha48 [4]3 years ago
5 0

Answer:

cos 30

Step-by-step explanation:

cos 30 + sin 60 / 1+ sin 30 + cos 60

= root3 / 2 + root3/2 / 1 + 1/2 + 1/2

= root 6/2 by 4/2

= root 6/4

= root 3/2

= cos 30

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an astronaut drops a rock into a crater on the moon. the distance, d(t), in meters, the rock travels after t seconds can be mode
Elenna [48]
Given
d(t) = 0.8t ^2

t= 5 secs
d(5) = 0.8(5)^2 = 0.8 * 25 = 20
t= 10 secs
d(10) = 0.8(10)^2 = 0.8 * 100 = 80

20 m / 5 secs = 4 meters per sec
80 m / 10 sec = 8 meters per sec

4 mps + 8 mps = 12 mps
12 mps / 2 = 6 mps
6 mps is the average speed of the rock between 5 and 10 sec after being dropped
7 0
3 years ago
. Express the ratios in its simplest form (a) 15:12 (b) 42:1
telo118 [61]

Answer:

See answers below

Step-by-step explanation:

Given the following ratios. We are to express them in their simplest forms

15:12

= 15/12

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

= 3/3 * 5/4

= 5/4

b) 42:1

= 42/1

= 42

Given that  2:x :: 4:6​

2/x = 4/6

Cross multiply

4x = 2*6

4x = 12

x = 12/4

x = 3

Hence the value of x is 3

7 0
3 years ago
Points A, B, C, and D are connected by segments.
Verizon [17]

Answer:

c

Step-by-step explanation:

I think its c

I'm not sure

4 0
3 years ago
Convert 95 pints to gallons. Round to one decimal place.
Serggg [28]
11.9 gallons. Hope I helped!
8 0
4 years ago
The equation of a circle is given. What is the diameter of the circle? Round to the nearest tenth.
Law Incorporation [45]

Answer:

14.2 is the diameter.

Step-by-step explanation:

The radius squared = 52.

What you have given is the general equation of the circle with a center at (2,-3) and a radius of sqrt(52)

You can break the 52 down.

sqrt(52) = sqrt(4 * 13) = 2 sqrt(13). Notice that 4 is a perfect square.

d = 2*radius.

d = 2(2 sqrt(13) )

d = 4 sqrt(13)

That is the diameter. You want it to the nearest 1/10

d = 14.222 but it is to the nearest 1/10

d = 14.2

8 0
3 years ago
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