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Bumek [7]
3 years ago
10

In AHIJ, the measure of ZJ=90°, the measure of ZH=57°, and IJ = 22 feet. Find the

Mathematics
1 answer:
kirill [66]3 years ago
3 0

Answer:

26.2

Step-by-step explanation:

From the given diagram;

Opposite side IJ = 22

Hypotenuse HI = x

Angle of elevation = 57degrees

Using the SOH CAH TOA;

sin theta = opposite/hypotenuse

sin theta = IJ/HI

sin57 = 22/x

x = 22/sin57

x = 22/0.8387

x = 26.2

Hence the legnth of HI is 26.2

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Which graph represents the solution to the given system ? Y=- 6X - 2Y +2=- 6X
Nonamiya [84]

Answer: The graph is attached.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the first equation:

y=- 6x - 2

You can identify that:

m=-6\\b=-2

 By definition, the line intersects the x-axis when y=0. Then, subsituting this value into the equation and solving for "x", you get that the x-intercept is:

0=- 6x - 2\\\\2=-6x\\\\x=-\frac{1}{3}\\\\x=-0.333

Now you can graph it.

Solve for "y" from the second equation:

y +2=- 6x\\\\y=-6x-2

 You can identify that:

m=-6\\b=-2

Notice that the slopes and the y-intercepts of the first line and the second line are equal; this means that they are exactly the same line and the System of equations  has<u> Infinitely many solutions.</u>

See the graph attached.

4 0
3 years ago
1.
bulgar [2K]

Answer:

8/9 will be left over

Step-by-step explanation:

3 7/9 + 5 1/3= 9 1/9

Now subtract the amount of paint needed by how much paint there is:

10- 9 1/9= 8/9

Therefore, 8/9 will be left over

Hope this helps

5 0
2 years ago
How much bigger is a 1 1/4-inch button than a 5/8-inch button
ruslelena [56]
I think it would be 5/8
4 0
3 years ago
Read 2 more answers
Ricky caught a snake that was 58.2 centimeters long. Which of these lengths has an 8 with a value of 1/10 the value of the 8 in
Anettt [7]

In every number, set every digit to zero that is not 8. Then look at the question again.

"Which of these lengths has 1/10 the value of 8.0?"

  • A. 800
  • B. 0.08
  • C. 80
  • D. 0.80

We hope the answer D is obvious to you.

... 0.80 = (1/10)×8.0

___

The appropriate choice is ...

... D. 209.86

8 0
3 years ago
Find the value of each variable:
Leona [35]

Answer:

5√3 = b

5 = d

10√3 = a

15 = c

Step-by-step explanation:

Sin60° = opp/hyp

sin60° = b/10

10sin60° = b

5√3 = b

Cos60° = adj/hyp

Cos60° = d/10

10Cos60° = d

5 = d

Sin30° = opp/hyp

Sin30° = 5√3/a

a = 5√3/Sin30°

a = 10√3

Tan30° = opp/adj

Tan30° = 5√3/c

c = 5√3/tan30°

c = 15

3 0
3 years ago
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