MATHEMATICS HIGH SCHOOL

Trig-Please help ASAP! Use either the law of cosines or the law of sines to find the measure of angle C

Answers

Answer 1

Answer:

Answer:

C = 81.6 degrees

Step-by-step explanation:

The formula for law of sines

sin A sin B sin C

-------- = ----------- = -------------

a b c

Looking at the diagram, we know A = 54, b = 7.4 and c = 15.8

not enough to use the law of sines

We will need to use the law of cosines

a^2 = b^2 + c^2 - 2ac cos A

Using the law of cosines, we can calculate the length of a

a^2 = 7.4^2 + 15.8^ -2*7.4*15.8 cos 54

a^2 = 54.6+249.64-233.84cos54

a^2 =166.7922966

a = 12.921

Now we can use the law of sines to find C

sin 54 sin C

-------- = -------------

12.921 15.8

Using cross products

15.8 * sin 54 = 12.921 * sin C

Divide each side by 12.921

15.8 /12.921 * sin 54 = sin C

Take the arcsin of each side

arcsin (15.8 /12.921 * sin 54) = arcsin (sin C)

arcsin (15.8 /12.921 * sin 54) = C

C = 81.6 degrees

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What is an exponential number?
Luke’s parents started a savings account to help him pay for college or a technology school when he turned 11 years old. Each month they put $125 into the savings account, and they continued this until he was 18 years old. The savings account did not accumulate any interest. Luke figured out that the first year of a technology school that he wanted to attend would cost him $12,480. If he had one year to save the rest of the money, how much would he need to save each month? A. 165B.40C.1980D.1040

How are the two functions f(x) = 0.7(6)^x and g(x) = 0.7^-x related to each other?

Answers

to find the relationship between them, lets do some algebra:

f(x) = (7/10)^x

g(x) = (7/10)^-x

if we do:

f(x) * g(x) = 1

due to exponents multiplying addition law, therefore, the relationship, gives:

f(x) = 1 / g(x)

Answer:

We will see that g(x) is a reflection over the y-axis of f(x).

How does a reflection work?

For a given function f(x), we can define:

A reflection over the x-axis as: g(x) = -f(x)

A reflection over the y-axis as: g(x) = f(-x).

In this case we have:

f(x) = 0.7*(6)^x

g(x) = 0.7*(6)^-x = f(-x)

So is ratter easy to notice that g(x) is a reflection over the y-axis of f(x), so the correct option is:

"g(x) is the reflection of f(x) over the y-axis."

If you want to learn more about reflections, you can read:

brainly.com/question/4289712

Which of the following is equivalent to log9w?log9 + logw
log9 - logw
w(log9)
9(logw)

Answers

Answer:

Option A is correct

$\log 9 + \log w$

Step-by-step explanation:

Using the logarithmic rules:

$\log mn = \log m+ \log n$

As per the statement:

Given the following:

$\log 9w$

Apply the logarithmic rules we have;

$\log 9 + \log w$

Therefore, the following is equivalent to log 9w is:

$\log 9 + \log w$

Look over your textbook for the properties of logarithms.
Recall that adding together two logs of the same base = one log where the arguments are multiplied together.
(note a log without a number written below is assumed to be base 10)

$\log(9w) = \log(9)+\log(w)$

What adds to get negative seven and multiplies to get five

Answers

I have a pair of numbers for you that will do the job.
They're both irrational, so I can't write their exact value.
Here they are, rounded to the nearest thousandth:

- 6.193
and
- 0.807

A 12-foot ladder is leaning against a wall. The bottom of the ladder is 5 feet away from the bottom of the wall. Approximately how high up the wall does the top of the ladder reach?

A.
2.4 feet

B.
7.0 feet

C.
13.0 feet

D.
10.9 feet
i think B not i'm not 100% sure plz help me and would u plz explain how u got the answer thank u :)

Answers

The ladder is the hypotenuse.
One of the legs is 5 feet.
We need to find the height.

a^2 + 5^2 = 12^2
a^2 + 25 = 144
a^2 = 144 - 25
a^2 = 119
a = √119

a ≈ 10.9 feet

The ladder reaches up 10.9 feet.

Answer:

that is correct i took the test 10.9

Step-by-step explanation:

From 1980 to 2000, the consumer price index (CPI) increased from 82.4 to 172.2. If a pound of margarine cost $0.51 in 1980 and the price of margarine increased at the same rate as the CPI from 1980 to 2000, approximately how much did a pound of margarine cost in 2000?

Answers

Answer:

the answer is $1.07

explanation : you divide the price by the cpi (0.51 / 82.4) this gives you 0.00619

so if you want to find the price or the cpi you just need to multiply the number you do have by 0.00619 and this will give you the missing information

Step-by-step explanation:

Answer:

1.07

Step-by-step explanation:

i got the answer right

If f(x) = 3x + 2 and g(x) = x2 – x, find each value.
17 f(-2)=
f(-2) =