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4 years ago

What is the value of z in the question sin(4z) = cos(30 + 2z)?

Mathematics

1 answer:

stira [4]4 years ago

8 0

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A gentleman is standing 10 feet from a streetlight. He is 5'6 tall and has a shadow of 24 feet. What is the height of the street

Goshia [24]

Answer:

Height of the streetlight ≈ 8 ft(nearest foot)

Step-by-step explanation:

The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He has a height of 5.6 ft and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.

The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .

ab = 5.6 ft

The ratio of the base sides = 24/34

The ratio of the heights = 5.6/x

The two ratio are equal Therefore,

24/34 = 5.6/x

24x = 5.6 × 34

24x = 190.4

divide both side by 24

x = 190.4/24

x = 7.93333333333

x ≈ 8 ft

Height of the streetlight ≈ 8 ft(nearest foot)

Download docx

7 0

3 years ago

The radius of the large sphere is times longer than the radius of the small sphere.

jeka94

Answer:

1/3

Step-by-step explanation:

You can try it I keep getting 3 so maybe that’s the answer

8 0

3 years ago

Read 2 more answers

Urgent please hell..

vovikov84 [41]

8 x (3^2/4^2)
=4.5
........................

6 0

3 years ago

Sara is cutting circles out of pieces of cardboard. If she uses a rectangular piece of cardboard that is 8 in. 10 in., what is t

Vinvika [58]

Answer:

50.29 square inches.

Step-by-step explanation:

Given:

Sara is cutting circles out of pieces of cardboard.

She uses a rectangular piece of cardboard that is 8 inches by 10 inches.

Question asked:

What is the area of the largest circle she could make?

Solution:

Here given length of piece of cardboard is 10 inches and breadth is 8 inches, to draw the largest circle, we have to draw the circle touching the boundary of the breadth of the rectangular cardboard and hence breadth will be considered as diameter and it will be the maximum diameter of the circle.

Now, we will find the area of the largest circle by taking breadth as the maximum possible diameter:

Breadth = Diameter = 8 inches ( given )

Radius = half of diameter , $r =\frac{d}{2} =\frac{8}{2} = 4\ inches$