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Black_prince [1.1K]
3 years ago
9

How to solve this problem?

Mathematics
1 answer:
Mariana [72]3 years ago
6 0
Use the law of sines.

a/Sin(A) = b/Sin(B) = c/Sin(C)

SO:

6.5/Sin(95') = 5/Sin(A)

Next, you solve for A, Which gets you to the following solution for A

Sin(A) = (5 * Sin(95'))/6.5

This will give you the answer to A.

You then use A + 95 + B = 180 to find B.

The answer, therefore, is:

35'


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2. If AB = 4x + 9. BC = 5x + 2, and AC = 56, then find the value for . AB, BC.<br> A<br> B
inysia [295]

Answer:

AB=29; BC=27

Step-by-step explanation:

So they told us AB=4x+9 and that BC=5x+2, and AC=56 , now to help with the question you can draw this information on a number line. Now on a number you can see that basically AC=AB+BC.

So you would write it as such,,

4x+9+5x+2=56

Combine like terms

9x+11=56

Now you have to isolate the x by itself but first get rid of the 11.

9x+11-11=56-11

You would get

9x=45

Here you can divide 9 by both sides to isolate x.

9x/9=45/9

{x=5}

Now to find the value for both substitue x in the equations for both

1. AB=4x+9 where x is 5

4(5)+9 =AB

20+9 =AB

29=AB

You would do the same with BC

2. BC= 5x+2 where x is 5

5(5)+2= BC

25+2= BC

27=BC

If you want to check your answers you can just substitute x for 5 in the first equation we did where AC=AB+BC

6 0
4 years ago
The circular bases of the traditional teepees of the Sioux and Cheyenne tribes have a diameter of about 15 ft. What is the area
LenaWriter [7]

if the diameter is 15, its radius is half that, or 7.5


\bf \textit{area of a circle}\\\\A=\pi r^2~~\begin{cases}r=radius\\[-0.5em]\hrulefill\\r=7.5\end{cases}\implies A=\pi 7.5^2\implies A=56.25\pi \\\\\\A\approx 176.71459\implies A = \stackrel{\textit{rounded up}}{177}

8 0
3 years ago
Read 2 more answers
I NEED HELP REALLY BAD PLEASE ANSWER THIS QUESTION AS SOON AS POSSIBLE!!!! Which of the following expressions represents the dis
Delvig [45]

A: 3/4 - 2.

Hope this helped!

8 0
4 years ago
Read 2 more answers
Tell whether the value is a solution of the inequality X=36; 3x&lt;100
sladkih [1.3K]

Answer:

x = 36 is not a solution

Step-by-step explanation:

3x<100

Let x = 36

3*36 < 100

108 < 100

This is not true so x = 36 is not a solution

8 0
3 years ago
Read 2 more answers
Subtract. ​ 7/8-(-3/8) ​ Enter your answer in the box as a fraction in simplest form?
Effectus [21]
Simple....

so you have: \frac{7}{8}-(- \frac{3}{8}  )

There's the law where if the number outside your parentheses is negative along with the number in the parentheses; it converts into positive...

-->>x-(-x)
--->>x+(+x)

This being said.....

\frac{7}{8} - (-\frac{3}{8} )

-->> \frac{7}{8} +(+ \frac{3}{8} )

-->>>\frac{10}{8}

But remember, you want to simplify it....

\frac{10}{8} = \frac{5}{4} (Decimal form..1.25)

Thus, your answer.
4 0
3 years ago
Read 2 more answers
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