X-9=-5x+9 solve for X

What is the measure of ∠F, to the nearest degree?

juin [17]

Three lines given -- it's a natural for the cos(theta) law. A small hint: I think the preferred way of doing it is to use the cos(theta) law twice. It will give you a definite answer.

Find G first
g = 6 yd
h = 7 yd
f = 5 yards.

g^2 = h^2 + f^2 - 2*h*f*cos(G)
6^2 = 7^2 + 5^2- 2*7*5*cos(G)
36 = 49 + 25 - 70*Cos(G)
36 = 74 - 70*cos(G)
-48 = - 70 * cos(G) Divide by -70
-38/-70 = cos(G)
0.5429 = cos(G)
cos-1(0.5429) = G
G = 57.12

Now find H
h^2 = g^2 + f^2 - 2*g*f*cos(H)
7^2 = 5^2 + 6^2 - 2*5*6*cos(H)
49 = 25 + 36 - 60cos(H)
49 =61 - 60*cos(H)
Cos(H) = -12 / - 60
Cos(H) = 0.2
H = cos-1(0.2)
H = 78.46

F can be found because every triangle has 180 degrees
F + 78.46 + 57.12 = 180
F + 135.58 = 180
F = 180 - 135.58
F = 44.41

A <<<< Answer.

8 0

3 years ago

Read 2 more answers

What is 4.02x9= please help me

Readme [11.4K]

4.02x9=36.18 that's the answer

6 0

3 years ago

Read 2 more answers

What is another way to write the expression p⋅(10−2) ?

Tomtit [17]

Answer: A

Step-by-step explanation:

I think it is A because p*(10-2). Can = (p*10)-(p*2)

6 0

3 years ago

Question Help Find the original price of a pair of shoes if the sale price is $11 after a 75% discount.

fenix001 [56]

If it was a 75% discount, then u r actually paying 25%

so....25% of the original price is $ 11

0.25x = 11
x = 11 / 0.25
x = 44 <=== the original price

4 0

3 years ago

Problem 2:

kifflom [539]

Answer:

The answers to the questions about problem 2 are:

The fraction of the length after Priya stops two times is 3/4.
The fraction of the length after Priya stops four times is 15/16.
Priya will never reach the end of the hallway.

Step-by-step explanation:

The explanation about each answer is below:

1. In the first stop, Priya has walked half of the total length, and there would still be half the hallway, however, when she stops the second time, she has walked the half of the half, I mean:

$\frac{1}{2}/2=\frac{1}{4}$

If you add the two values you obtain the total distance traveled by Priya:

$\frac{1}{2}+\frac{1}{4}= \frac{3}{4}$

And the distance traveled in two stops is 3/4 of the total length of the hallway.

2. With four stops the system is the same, we know with two stops Priya travels 3/4 of the hallway, now with the third stop, she will travel half of the remaining distance:

$\frac{1}{4}/2=\frac{1}{8}$

And in the fourth stop she will travel half of the remaining, I mean:

$\frac{1}{8}/2=\frac{1}{16}$

Now, we add all the values of the distances obtained:

$\frac{3}{4}+\frac{1}{8}+\frac{1}{16}= \frac{15}{16}$

So, the distance traveled by Priya in the fourth stop is 15/16 of the total length of the hallway.

3. How we know, the numbers are infinite, in the same forms the distances, by this reason, how the problem says that Priya walks just half of the distance, she will never reach the end because despite she has very near of the end, she will continue walking just half and ever smaller distances.

3 0

3 years ago