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lidiya [134]
3 years ago
7

In JKL. solve for x 66.73 74.89 15.44 38.16

Mathematics
1 answer:
liq [111]3 years ago
5 0
By right triangle trigonometry, the sine of the measure of an angle is the ratio of the opposite side of this angle to the hypotenuse.

Thus, \displaystyle{\sin27^{\circ}= \frac{34}{x}


\sin27^{\circ} is a constant which can be found using a calculator:

with calc in pc: view → scientific → 27→sin = 0.45399, 

thus x=34/0.45399=74.89


Answer: 74.89
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Write an inequality, in slope-intercept form, for the graph below. If necessary,
Rama09 [41]

Given:

The graph of an inequality.

To find:

The inequality in slope intercept form.

Solution:

The slope intercept form is:

y=mx+b

Where, m is slope and b is y-intercept.

From the given graph it is clear that the boundary line passes through the points (-3,0) and (0,-3).

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

y-0=\dfrac{-3-0}{0-(-3)}(x-(-3))

y=\dfrac{-3}{3}(x+3)

y=-1(x+3)

y=-x-3

From the given graph it is clear that the boundary line is a solid line and the shaded region lies above the line, so the sign of inequality must be "≥".

y\geq -x-3

Therefore, the required inequality is y\geq -x-3.

8 0
3 years ago
the lenght of an arc in a circle with diameter 10 inches is 1.25π inches. determine the measure of the arc.​
Luda [366]

Answer:

the \:  angle \:  is \:  0.25\pi

Step-by-step explanation:

the arc length is equal to the radius x angle (in radians)

s=ra

s= arc length, r= radius and a= the angle

solve for a ; a= s/r; a=

1.25\pi/5

4 0
3 years ago
Can someone please help me I will be forever grateful
Crazy boy [7]

Answer:

5/8

Step-by-step explanation:

1 inches in fraction form would be 8/8 inches, and the button is 3/8 inches, so a 1 inch button is 5/8 inches longer than a 3/8 inch button

6 0
3 years ago
Read 2 more answers
Instructions: Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Morgarella [4.7K]

Answer:

y = 3x - 13................slope= 3, point= (5,2)

y = 3x + 11.................slope= 3, point= (2,17)

3y = x + 11................slope= 1/3, point= (-5,2)

3y = x - 13................slope= 1/3, point= (19,2)

Step-by-step explanation:

To match each equation to its slope and point, remember that an equation in y = mx + b has slope m. The point must also satisfy or make true the equation when substituted for (x,y).

y=3x-13  has slope 3. The point (2,17) make it false. But (5,2) makes it true.

17 = 3(2) - 13                 2 = 3(5) - 13

17 = 6-13                       2 = 15 - 13

17 = - 7  False              2 = 2 True

y=3x+11  has slope 3. This means (2,17) must be true.

3y=x+11  can be converted to y = 1/3x + 11/3. It has slope 1/3. Test each point.

2= 1/3(19) + 11/3                 -2 = 1/3(17) + 11/3        2 = 1/3(-5) + 11/3

2 = 19/3 + 11/3                    -2 = 17/3 + 11/3          2 = -5/3 + 11/3

False                                    False                        2 = 6/3    True

3y=x-13 can be converted to y = 1/3x - 13/3. It has slope 1/3. Test each remaining point.

2= 1/3(19) - 13/3                 -2 = 1/3(17) - 13/3        

2 = 19/3 - 13/3                    -2 = 17/3 - 13/3          

2 = 6/3                                -2 = 4/3

True                                   False                        

7 0
3 years ago
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You can buy a CD the sale price of $6. This is 25% off of the original price. What is the original price of the CD?
Naya [18.7K]
6*.75=4.5

Thank you hope this helps
3 0
2 years ago
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