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il63 [147K]
2 years ago
5

Can anyone help me with this i need help quick

Mathematics
1 answer:
guajiro [1.7K]2 years ago
6 0

Answer:

C

Step-by-step explanation:

y=mx+n m is slope if slopes are perpendicular m1.m2=-1

(2/3) . (-3/2) = -1

m1=2/3

m2=-3/2

y=(2/3)x-3 m=2/3 n= -3

y=(-3/2)x+2   m = -3/2 n = 2

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2. The ratio of radii of two cylinders is 1:2 and heights are in the ratio 2:3. Find the ratio of their volumes.
Savatey [412]

Answer: \frac{1}{6} or 1:6

Step-by-step explanation:

The volume of a cylinder can be found with the following formula:

V=\pi r^2h

Where "r" is the radius and "h" is the height of the cylinder.

In this case, let be:

- V_1 the volume of one of this cylinders and V_2 the volume of the other one.

- r_1 the radius of the first one and r_2 the radius of the other cylinder.

- h_1 the height of one of them and h_2 the height of the other cylinder.

Then:

V_1=\pi r_1^2h_1\\\\V_2=\pi r_2^2h_2

Therefore, you know this:

\frac{V_1}{V_2} =\frac{\pi r_1^2h_1}{\pi r_2^2h_2}

Simplifying, you get:

\frac{V_1}{V_2} =\frac{ r_1^2h_1}{ r_2^2h_2}

Now, knowing the ratios given in the exercise, you can substitute them into the equation:

\frac{V_1}{V_2} =\frac{1^2*2}{ 2^2*3}

Evaluating, you get:

\frac{V_1}{V_2} =\frac{2}{ 4*3}\\\\\frac{V_1}{V_2} =\frac{2}{12}\\\\\frac{V_1}{V_2} =\frac{1}{6}

4 0
3 years ago
If C(m) = 0.50m + 30 represents the cost of renting a car, how many miles were driven if the cost is $130?
Dimas [21]
Your answer is 200 miles
3 0
3 years ago
Show that cos 30 degree + sin 60 degree / 1+ sin 30 degree + cos 60 degree is equal to cos 30 degree​
Soloha48 [4]

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

5 0
3 years ago
Write the fraction or mixed number as a percent 43/50
jok3333 [9.3K]

Answer:

86%

Step-by-step explanation:

Check attachment

5 0
3 years ago
Read 2 more answers
Can someone please help me I really need to pass this question!!!!
shepuryov [24]

Answer:

a ≈ 5.3

Step-by-step explanation:

Using Pythagoras' theorem

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

a² + 6² = 8², that is

a² + 36 = 64 ( subtract 36 from both sides )

a² = 28 ( take the square root of both sides )

a = \sqrt{28} ≈ 5.3 ( to the nearest tenth )

6 0
3 years ago
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