3 years ago

Find AC. Round to the nearest tenth.

1 answer:

fomenos3 years ago

6 0

The only way I know how to do this is to use the cosine law.
b^2 = a^2 + c^2 - 2*a*c*Cos(105)
a = 12
c = 10
b = ??? (AC)
Cos(105) = - 0.25882

b^2 = 12^2 + 10^2- 2*10*12*(-0.25882)
b^2 = 144 + 100 + 240 * (0.25882)
b^2 = 244 + 62.117
b^2 = 306.12 Now take the square root
b = 17.50

You might be interested in

T models the temperature (in degrees Celsius) in New York City when it's t hours after midnight on a given day. Match each state

Klio2033 [76]

Answer:

Please check explanation

Step-by-step explanation:

Here, we want to do a matching.

We shall be matching the given statements with the features we have on the graph

Hence we shall be looking closely at the graph to answer the questions.

The y-intercept is the point at which the graph touches the y-axis

And it was at -3 degrees celsius at the beginning of the day.

The temperature was above zero between 8am and 8pm. The matching statement is that it is increasing or decreasing interval

We can see that the graph rose from 8am before it finally comes to zero at 8pm

Positive or negative interval matches with it was getting warmer between 2am and 2pm.

While temperature was lowest at 2am, we can see a peak at 2pm.

8 0

3 years ago

Sari's mom went to the store to buy some grapes,apples and bananas. The total mass of the fruit is 72kg. She bought 18kg of grap

il63 [147K]

Answer: 25kg

Step-by-step explanation:

18 + 29 = 47

72 - 47 = 25

She got 25kg of bananas.

4 0

3 years ago

If f(x)=3x^2+1 and g(x) =1-x, what is the truly value of (f-g)(2)

Lilit [14]

Answer:

Step-by-step explanation:

f(x)=3x²+1

f(2) = 3 x 2² + 1 = 13

g(x) =1-x

g(2) = 1 - 2 = -1

(f-g)(2) f(2) - g(2) = 13 - (-1) = 14

8 0

3 years ago

At 5pm the total rainfall is 3cm. At 11 pm the total rainfall is 13cm.What is the mean hourly rainfall?

krok68 [10]

Answer:

2.16 cm

Step-by-step explanation:

5 through 11 = 6 hours

total of cms = 13

13/6 = 2.16

7 0

3 years ago

Jorge wrote the inequality -12°F < -3°F to compare the temperature at 9 A.M. And 9 P.M. It was colder at 9 P.M. than at 9 A.M

Lady_Fox [76]

-3f is the temperature at 9am because -12f is colder than -3f

5 0

3 years ago