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3 years ago

I NEED THIS ANSWERED ASAP PLEASE HELP!!! select the correct answer for points

Mathematics

1 answer:

krek1111 [17]3 years ago

5 0

Answer:

C. 120°

Step-by-step explanation:

length of arc = 4π cm

r = 6 cm

central angle = s/r

=> central angle = 4π/6

=> central angle = 2π/3 radians

In degrees,

central angle = (2π/3)(180/π) = 120°

hope this helps and is right. p.s i really need brainliest :)

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The area of a triangle is 60 square feet the length of the base is 12 feet find the height of the triangle

DochEvi [55]

Answer:

10 feet.

Step-by-step explanation:

The formula for the area of a triangle is A=1/2bh

where A is the area B is the base and H is the height.

The area is 60 and the base is 12 so the formula will become

60=1/2*12*h

60=6*h

by dividing both ends by 6

10=h

the height of the triangle is 10.

I hope this helps :)

5 0

4 years ago

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use compound angle formulae to find sin 15 and cos 15 in form of [ surd a (surd b + c) ] . Hence, find tan 15 in the simplest su

inysia [295]

Answer:

see explanation

Step-by-step explanation:

Using the difference formulae for sine and cosine

sin(x - y) = sinxcosy - cosxsiny

cos(x - y) = cosxcosy + sinxsiny

sin15° = sin(45 - 30)°

sin(45 - 30)°

= sin45°cos30° - cos45°sin30°

= $\frac{\sqrt{2} }{2}$ × $\frac{\sqrt{3} }{2}$ - $\frac{\sqrt{2} }{2}$ × $\frac{1}{2}$

= $\frac{\sqrt{6} }{4}$ - $\frac{\sqrt{2} }{4}$

= $\frac{\sqrt{6}-\sqrt{2} }{4}$

----------------------------------------------------------------------------------

cos15° = cos(45 - 30)°

cos(45 - 30)°

= cos45°cos30° + sin45°sin30°

= $\frac{\sqrt{2} }{2}$ × $\frac{\sqrt{3} }{2}$ + $\frac{\sqrt{2} }{2}$ × $\frac{1}{2}$

= $\frac{\sqrt{6} }{4}$ + $\frac{\sqrt{2} }{4}$

= $\frac{\sqrt{6}+\sqrt{2} }{4}$

-------------------------------------------------------------------------------------

tan15° = $\frac{sin15}{cos15}$

= $\frac{\sqrt{6}-\sqrt{2} }{4}$ × $\frac{4}{\sqrt{6}+\sqrt{2} }$

= $\frac{\sqrt{6}-\sqrt{2} }{\sqrt{6}+\sqrt{2} }$

Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator, that is ( $\sqrt{6}$ - $\sqrt{2}$ )

= $\frac{(\sqrt{6}-\sqrt{2})^2 }{(\sqrt{6}+\sqrt{2})(\sqrt{6}-\sqrt{2}) }$

= $\frac{6-4\sqrt{3}+2 }{6-2}$

= $\frac{8-4\sqrt{3} }{4}$

= 2 - $\sqrt{3}$

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3 years ago

Perform this operation and report the answer to the correct number of significant figures: What is the mass of a cube of aluminu

KIM [24]

The answer is 172.8 g.

The volume of the cube (V) is:
V = a³ (a - the side of the cube)

The density (D) <span>is quotient of mass (m) and volume (V):
D = m/V = m/a</span>³
⇒ m = D · a³
<span>

It is given:
D = 2.7 g/cm</span>³
a = 4 cm
Therefore:
m = D · a³ = 2.7 · 4³ = 172.8 g

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3 years ago

What is 162 divided by 9 show me how

maxonik [38]

162 divided by 9 is 18
I am not sure how to upload a picture but thats the answer

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3 years ago

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On the Pictograph Annie had 243 visitors on Saturday and 345 visitors on her Apple farm on Sunday. About how many people visited

Pavel [41]

I think it would be D, about 200, because 243 is closer to 200 then it is any of the other choices

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3 years ago

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