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Oliga [24]
3 years ago
12

Help me answer this and explain it please! :)

Mathematics
2 answers:
Fynjy0 [20]3 years ago
7 0

Answer:

90. 04987916

Step-by-step explanation:

Let HI be a

and GH be c

and GI be b

and <GHI be B

Using the law of Cosines,

b^2= -2ac cos (B) + c^2 + a^2

= -2(42)(60) cos (123)+60^2+42^2

= -5040 cos (123) +3600+1764

= -5040(-0. 544639035) +5364

= 2744. 980736+5364

b^2= 8108. 980736

b= Sqrt ( 8108. 980736)

b= 90. 04987916

Sphinxa [80]3 years ago
3 0

Answer:

The answer is 99.2

Step-by-step explanation:

The law of cosine states that...

c^2=a^2-2*a*b*cos(theta)

c^2=42^2+60^2-2(42)(60)cos(123)

c^2=1764+3600+4475.36

c=sqrt of 9839.36

c=99.2

You might be interested in
0.5y/4/9=y+3/8
PIT_PIT [208]

Step-by-step explanation:

The question needs to be more specific. But assuming it is 0.5y/(4/9), I will solve it.

This would make it 4.5y/4 =y + 3/8

- Multiply 4 to both sides

4.5y = 4y + 12/8

- Subtract 4y to both sides

0.5y = 12/8

- Divide both sides by 0.5

y = 3

Now plug in to check.

0.5(3)/(4/9)=3+3/8

Both equals 3.375!

If this helped, please feel free to pick this answer as the brainliest! Thank you very much and have a wonderful day!

8 0
3 years ago
If f(x) = 5x - 3 and g(x) = 2x + 9, determine<br> f(g(4)
Over [174]

Answer:

82

Step-by-step explanation:

f(x) = 5x - 3

g(x) = 2x + 9

f(g(x)) = 5 (2x + 9) - 3 ..... replace x with g(x)

f(g(4)) = 5 * (2 * 4 + 9) -3 = 85 - 3 = 82

5 0
3 years ago
A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each ad
Svetllana [295]

Solution:

A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each adult.

First we make inequality according to question.

In a family number of children 3

Charge for 1 child = $y per hour

Charge for 3 children = 3y

Charge for 1 Adult = $x per hour

Charge for 2 adults = 2x

If the family does not want to s[end more than $30 an hour at health club.

Where, x and y should be greater than 0.

Now we make the graph of this inequality.

First we take equality of equation and then find x and y table.

2x+3y=30

x        y

 0        10

 6        6

 15      0

4 0
3 years ago
What is the solution to the equation 5(x-3) = 2(x+3)?
VikaD [51]
Answer:
x = 7


General Formulas and Concepts:
Order of Operations: BPEMDAS


Step-by-Step Explanation:
Step 1: Define
5(x - 3) = 2(x + 3)

Step 2: Solve for x
1. Distribute: 5x - 15 = 2x + 6
2. Subtract 2x on both sides: 3x - 15 = 6
3. Add 15 on both sides: 3x = 21
4. Divide both sides by 3: x = 7
8 0
3 years ago
Victoria and Javier are collecting aluminum for a community service project. Victoria previously collected 56 pounds and is coll
Mnenie [13.5K]

Answer:

  • 10 hours

Step-by-step explanation:

<u>Victoria collects:</u>

  • 8x + 56

<u>Javier collects:</u>

  • 12x + 16

<u>They get same amount:</u>

  • 8x + 56 = 12x + 16
  • 12x - 8x = 56 - 16
  • 4x = 40
  • x = 10

8 0
3 years ago
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