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Fantom [35]
3 years ago
8

In the diagram, m<3=x+30 and m<4=2x-80

Mathematics
1 answer:
larisa [96]3 years ago
3 0
Do you have a picture of the diagram?
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Given that the sec A = 13/5 and A is in QIV, determine exact value for the sin A.
AysviL [449]

Answer:

The exact value of sin A is opp/hyp = -12/13

Step-by-step explanation:

If A is in Quadrant IV then the "opposite side" is negative and the "adjacent side" is positive.  Since sec A = hyp / adj = 13 / 5 and since opp^2 + adj^2 must add up to hyp^2,   Therefore y = √(hyp^2 - adj^2), or

y = -√(13^2 - 25) = -√144 = 12.

The exact value of sin A is opp/hyp = -12/13

6 0
3 years ago
A container is the shape of an inverted right circular cone has a radius of 4.00 inches at the top and a height of 5.00 inches.
Len [333]

The rate at which the water from the container is being drained is 24 inches per second.

Given radius of right circular cone 4 inches .height being 5 inches, height of water is 2 inches and rate at which surface area is falling is 2 inches per second.

Looking at the image we can use similar triangle propert to derive the relationship:

r/R=h/H

where dh/dt=2.

Thus r/5=2/5

r=2  inches

Now from r/R=h/H

we have to  write with initial values of cone and differentiate:

r/5=h/5

5r=5h

differentiating with respect to t

5 dr/dt=5 dh/dt

dh/dt is given as 2

5 dr/dt=5*-2

dr/dt=-2

Volume of cone is 1/3 πr^{2} h

We can find the rate at which the water is to be drained by using partial differentiation on the volume equation.

Thus

dv/dt=1/3 π(2rh*dr/dt)+(r^{2}*dh/dt)

Putting the values which are given and calculated we get

dv/dt=1/3π(2*2*2*2)+(4*2)

=1/3*3.14*(16+8)

=3.14*24/3.14

=24 inches per second

Hence the rate at which the water is drained from the container is 24 inches per second.

Learn more about differentaiation at brainly.com/question/954654

#SPJ4

5 0
2 years ago
Simplify 2x 2 - y for x = 3 and y = -2.<br> 20<br> 14<br> 16<br> 10<br> i need help please
disa [49]
2x^2-y

Plug in the values. 

2(3)^2-(-2)

2(3)^2+2

Exponents first. 

2*9+2

18+2

20

The answer is 20. 

I hope this helps!
~kaikers
6 0
3 years ago
Barack is saving up his money to buy a television that costs $395.50. Right now he has $85.00 and can save $29.00 each week. How
aliina [53]

Answer:

11 weeks

Step-by-step explanation:

Its easy

5 0
2 years ago
Find the area of a triangle when A=63degrees b=9feet and c=7feet
choli [55]

Answer:28.0665 square feet

Step-by-step explanation:

b=9

c=7

angle A=63°

Area of =(bxcxsinA)/2

Area of =(9x7xsin63)/2

Area of =(9x7x0.8910)/2

Area of =(56.133)/2

Area of =28.0665

5 0
3 years ago
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