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3 years ago

Ac is tangent to circle o at point c what is the length of ac?

Mathematics

1 answer:

MissTica3 years ago

5 0

Answer:

The Answer is 12

Step-by-step explanation:

Use Pythagorean theorem. AB=8 and BO=5 We still need to find AO

AO=AB+BO

8+5

AO=13

Now solve for AC

AC^2 + OC^2= AO^2

AC^2+5^2=13^2

AC^2+ 25=169

AC^2=144

AC= 12

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Traveling with the current a certain boat went 16km/h. Against the same current it only went 6km/h. Find the current and the spe

Aloiza [94]

Answer:

Step-by-step explanation:

b and c are the speeds of the boat in stool water, and current, respectively.

Going with the current, the boat travels b+c=16 km/h.

Going against the current, the boat travels b-c=6 km/h

add the equations together

b+c = 16

b-c = 6

—————

2b = 22

b = 11

c = 16-b = 5

4 0

3 years ago

300% of 7 is what percent of 42? A. 30% B. 50% C. 60% D. 12.5%

liubo4ka [24]

Answer:

B. 50%

Step-by-step explanation:

Step by step by me I guess

6 0

2 years ago

Point T is on line segment SU. Given ST=13 and TU=5, determine the length SU.

KonstantinChe [14]

Answer:

We are given the lengths of the two segments of the line. Using the addition postulate we can obtain the segment of the entire line.

Did you draw out the diagram. We know that the three points are collinear.

Hope this helps

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

(4^6)(4^-8) Please write in the form 4^n

stepan [7]

Answer: 4^-2

Step-by-step explanation:

the Bases stays the same the powers changes to negative -2 because you are stubtracting 6-8 which gives you negative -2.

7 0

3 years ago

The volume of a cone with a radius of 7 cm is 147 cubic centimeters. Which expression can be used to find h, the height ofthe co

spayn [35]

The choices are not attached but we can solve the problem from the given information

Answer:

The expression can be used to find h is $h=\frac{3V}{\pi r^{2}}$

The height of the cone is $\frac{9}{\pi }$ cm

Step-by-step explanation:

The formula of the volume of the cone is V = $\frac{1}{3}$ π r² h, where

r is the radius of its base
h is the height of it

Let us find the height of the cone from the formula of its volume

∵ V = $\frac{1}{3}$ π r² h

- Multiply both sides by 3

∴ 3 V = π r² h

- Divide both sides by π r²

∴ $\frac{3V}{\pi r^{2}}=h$

- Switch the two sides

∴ $h=\frac{3V}{\pi r^{2}}$

The expression can be used to find h is $h=\frac{3V}{\pi r^{2}}$

∵ The radius of the cone is 7 cm

∴ r = 7

∵ The volume of the cone is 147 cm³

∴ V = 147

- Substitute them in the expression of the height to find it

∵ $h=\frac{3(147)}{\pi (7)^{2}}$

∴ h = $\frac{9}{\pi }$ cm

The height of the cone is $\frac{9}{\pi }$ cm

4 0

3 years ago