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Hitman42 [59]
3 years ago
12

In AEFG, F = 61 inches, ZF=79º and ZG=34°. Find the length of g, to the nearest 10th of an inch.

Mathematics
1 answer:
DENIUS [597]3 years ago
7 0

Answer:

  g ≈ 34.7 in

Step-by-step explanation:

The law of sines is useful for this:

  f/sin(F) = g/sin(G)

Multiplying by sin(G), we have ...

  g = f·sin(G)/sin(F) = (61 in)·sin(34°)/sin(79°)

  g ≈ 34.7 in

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Point x is located at (-2,-6) and point z is located at (0,5). Find the y value for the point y that is located 1/5 the disteanc
Sedaia [141]

Answer:

-3 1/2


Step-by-step explanation:

We have to find the distance between x and z along the y-axis.

This will be: 5 - -6 = 11 units

1/5  of 11 = 1/5 × 11

                 = 11/5

                 = 2 1/5

Now add 2.5 to -6

2 1/2 + -6 = -3 1/2

The value of y = -3 1/2

8 0
4 years ago
The length of a metal rod is 9 3/4 feet. What is the length of 1/4 the rod?
Paha777 [63]
I think it would be 3 1/4 ft.

5 0
3 years ago
Read 2 more answers
The first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraicall
shutvik [7]
First step
Using substitution you can fill 2x + 11 in for the y part of the first equation
This will look like: 2x + 11 = -x^2 -2x + 8

Second step
Now we need to solve for the variable by combining like terms you can start by adding x^2 + 2x -8 to both sides
You get 0 = x^2 +4x +3

Third step
Factor
(X+3)(x+1)=0

If you need the y values you can fill in x= -3 to the second equation y= 2(-3) + 11 and y=5
First point is (-3,5)

The other point is found by filling x=-1 into the second equation: y= 2(-1) +11 and y = 9
Second point is (-1,9)
5 0
3 years ago
charity is four times as old as her daughter. she is also six years younger than her husband. The sum of their ages ten years to
Pachacha [2.7K]

Answer:

36years

Step-by-step explanation:

Let charity present age be x

Charity daughter present age be y

Charity husband present age be z

If the sum of their ages ten years to come is 117, then;

10+x+10+y+10+z = 117

30+x+y+z = 117

x+y+z = 87 ... 1

If charity is four times as old as her daughter, then;

x = 4y

y = x/4 ... 2

If she is also six years younger than her husband, then;

x = z- 6

z = x+6 .. 3

Substitute 2 and 3 into 1;

x + x/4 + (x+6) = 87

Multiply through by 4

4x + x + 4(x+6) = 4(87)

5x+4x+24 = 348

9x = 348 - 24

9x = 324

x = 324/9

x = 36

hence Charity is 36years old today

5 0
3 years ago
Help on thisi please
SVETLANKA909090 [29]

Answer:

False for both

Step-by-step explanation:

Neither of these images are symmetrical vertically nor horizontally.

4 0
3 years ago
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