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3 years ago

Find the slope of the line below

Mathematics

1 answer:

barxatty [35]3 years ago

5 0

Answer:

Step-by-step explanation:

Line is passing through the points (2, 2) & (6, 6)

Slope of line = (6 - 2)/(6 - 2) = 4/4 = 1

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A park is showing a movie on the lawn. The base of the screen is 6 feet off the ground and the screen is 22 feet high (see figur

inessss [21]

Answer:

A. 61.82°;

15.64°

B. 33.37°

Step-by-step explanation:

✍️Angle of elevation from 15 ft:

A right triangle is formed. Apply trigonometric ratios formula to find the angle of elevation from 15 ft.

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 15 ft

Thus, we would have:

$tan(\theta) = \frac{opp}{adjacent} = \frac{28}{15}$

$tan(\theta) = 1.8667$

$\theta = tan^{-1}(1.8667)$

$\theta = 61.82$ (2 d.p)

✍️Angle of elevation from 100 ft:

Thus,

Length of the side Opposite to reference angle = 22 + 6 = 28 ft

Adjacent length = 100 ft

Thus, we would have:

$tan(\theta) = \frac{opp}{adjacent} = \frac{28}{100}$

$tan(\theta) = 0.28$

$\theta = tan^{-1}(0.28)$

$\theta = 15.64$ (2 d.p)

✍️Distance you'd be from the screen if you lie on the ground and make an angle of elevation of 40° to the top of the screen:

Adjacent length = your distance from the screen = x

Opposite length = 22 + 6 = 28 ft

Angle of elevation = 40°

Tge trigonometric ratios formula to use would be:

$tan(\theta) = \frac{opp}{adjacent}$

Plug in the values

$tan(40) = \frac{28}{x}$

Multiply both sides by x

$x*tan(40) = 28$

Divide both sides by tan(40)

$x = \frac{28}{tan(40)}$

$x = 33.37$ (2 d.p)

3 0

3 years ago

Nico looks at the data of the yellow car. He sees the car traveled 12 laps on the 4-mile track in 15 minutes. How fast is the ca

Archy [21]

S=D/T
S=(12*4) / .25
S=48/.25=192
S=192

8 0

3 years ago

A local farm grows strawberries, apples, blueberries jam picks out on fruit at farm for 2.95 pound. He picks 10.5 pounds of appl

malfutka [58]

$30.98 I believe ....

4 0

4 years ago

5. Marie buys 2 pounds of turkey and 1 pounds of ham. She pays a total of $20,

NARA [144]

Answer:Let t = cost per pound of turkey

Let h = cost per pound of ham

4t + 2h = 30

t = h - 1.5

substitute h-1.5 in place of t in 1st equation

4(h-1.5) + 2h = 30

4h - 6 + 2h = 30

6h - 6 = 30

6h = 36

h = 6

t = h-1.5 = 4.5

1 pound of turkey costs $4.50

1 pound of ham costs $6.00

----------

cost of 1 pound each $10.50

Step-by-step explanation:

8 0

2 years ago

Two figures are arranged as shown. Which of the following can be used to the area of the figure

Pani-rosa [81]

Answer:

$9^{2} -x^{2}$

Step-by-step explanation:

The figure is shown in the image attached.

Notice that the shaded light gray area can be calculated by the difference of the bigger square and the smaller square.

The area of the bigger square is: $A_{big}=9^{2}$

The area of the smaller square is: $A_{small}: x^{2}$

The difference between these areas is: $A=9^{2} -x^{2}$

Therefore, the expression that can be used to find the light gray area is: $9^{2} -x^{2}$

Additionally, the expression $x(9-x)+9(9-x)$ is also a right answer, because it's equivalent to the first answer.

$x(9-x)+9(9-x)=9x-x^{2} +81-9x=81-x^{2} =9^{2} -x^{2}$

5 0

3 years ago