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natima [27]
3 years ago
13

1.) A tower casts a shadow that is 60 feet long when the angle

Mathematics
1 answer:
Fynjy0 [20]3 years ago
8 0

Answer:

128.67 ft

Step-by-step explanation:

Let the height of the tower be x feet.

\tan \: 65 \degree =  \frac{x}{60}  \\  \\ 2.1445069205 =  \frac{x}{60}  \\  \\ x = 2.1445069205 \times 60 \\ \\  x = 128.670415 \\  \\ x = 128.67 \: ft

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Find the equation of a line with a slope of -4 that passes through the point (-3, 8).
Nata [24]

Answer:

The equation of line is y = -4x -4.

Step-by-step explanation:

Given that:

Slope of the line = -4

Line passes through the point ( -3, 8)

The general equation of line is given by;

y - y1 =m(x-x1)

Putting the point and slope in equation

y - 8 = -4(x - (-3))

y - 8 = -4(x+3)

y - 8 = -4x - 12

y = -4x - 12 + 8

y = -4x -4

Hence,

The equation of line is y = -4x -4.

6 0
3 years ago
I need help on this one please
Korolek [52]

Answer:

it is D

Step-by-step explanation:

just reflect by y=-1 its easy

5 0
3 years ago
Which ratio if any is equivalent to 9:12
zmey [24]

Answer:

it's

3:4

18:24

27:36

36:48

5 0
3 years ago
Please help if you can ik it is Pythagorean theorem
kicyunya [14]

Step-by-step explanation:

A = (1/2)bh ---> h = 2A/b = 2(12 cm^2)/(5 cm) = 4.80 cm

---> x^2 = h^2 + (b/2)^2

= (4.8 cm)^2 + (2.5)^2

= 23.04 cm^2 + 6.25 cm^2

or x = 5.41 cm

Therefore, the perimeter P is

P = 2x + b = 2(5.41 cm) + 5 cm = 15.8 cm

5 0
3 years ago
What is the approximate area of the figure that is shaded in blue below?
Aleks [24]

Answer:

A: 48in2

Step-by-step explanation:

Area of a rectangle = Length x Width

The complete figure is rectangular in shape with:

Length = 11 in

Width = 5 in

Area = 11 x 5

Area = 55 in2

The pink part is triangular in shape with:

height = 4in

Base = 3.5 in

Area of a triangle = 0.5 x base x height

Area of the pink portion = 0.5 x 3.5 x 4

Area of the pink portion = 7 in2

Area of the blue portion = (total Area) - (Area of the pink portion)

Area of the blue portion = 55 in2 - 7 in2

Area of the blue portion = 48 in 2

Hope this help you!

8 0
3 years ago
Read 2 more answers
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