A monument casts a shadow 215-ft long when the angle of elevation of the sun is 52º. Find
the height of the monument.

Answer:

z=70 degrees y=117 degrees

Step-by-step explanation:

To find angle z, you have to know that when two sides are against each other, they have to equal 180 degrees so 180-110 is equal to 70. Therefore z is equal to 70 degrees. To find y, you have to know that a quadrilateral's total degrees is equal to 360 degrees. Therefore, you have to do 360-93-80-70 which is equal to 117 degrees. Therefore y is equal to 117 degrees.

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For the given equation

a)The maximum height of the ball is 12 meters.

b)The horizontal distance of the ball from the kicker is 20 meters.

c)The ball travels approximately 32.85 meters horizontally.

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, the left-hand side (LHS) and the right-hand side (RHS), separated by an equal sign (=). The equation can contain variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. Solving an equation means finding the value(s) of the variable(s) that make the equation true.

a) The equation is in vertex form, where the maximum height is the y-coordinate of the vertex. We can see that the vertex is at (20, 12), so the maximum height of the ball is 12 meters.

b) The horizontal distance of the ball from the kicker when it reaches its maximum height is the x-coordinate of the vertex. In this case, the vertex is at (20, 12), so the horizontal distance of the ball from the kicker when it reaches its maximum height is 20 meters.

c) To find the distance the ball travels horizontally from when it is kicked until it hits the ground, we need to find the value of d when h(d) = 0. This is because the ball hits the ground when its height is 0. Setting h(d) = 0, we get:

0 = -0.025(d – 20)2 + 12

Solving for d, we get:

(d – 20)2 = 480

d – 20 = ±√480

d = 20 ± 4√30

Since the ball is kicked when it is on the ground, we only consider the positive value of d:

d = 20 + 4√30

Therefore, the ball travels approximately 32.85 meters horizontally from when it is kicked until it hits the ground.

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The table that corresponds to the graph is

x         y

-1        -3

0         0

1          3

2          6

From the question, we have the following parameters that can be used in our computation:

The equation of the graph is y = 3x

This means that

y = 3x

This can be interpreted as

The output value is three times the input value

Using the above as a guide, we have the following:

The table that has the above feature is (b)

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Answer:

680≤400+8h

280≤8h

35≤h  

Step-by-step explanation:

400 is the constant, and h is your variable. Solve the inequality for h, number of hours worked. Briana must work at least 35 hours.

Answer: 27.2

Step-by-step explanation:

A squared + B squared = C squared 22 is A squared and 16 is B squared and C squared is the hypotenuse and that is what we are figuring out

22squared= 484 and 16 squared=256 484+256=740 and 27.2 squared is 740 I hope this helps

Answer:

probability of rolling a number greater than 3 is 1/2

Step-by-step explanation:

all numbers on a standard number cube: 1, 2, 3, 4, 5, 6

number greater than 3:  4, 5, 6

three out of six, of one-half, are greater than three

Answer:

1. A & E

2. B

Hope this helps :)

Answer:

45.67+23.12=87.56!!!

Answer:

Slope is -1

y intercept is (0,-1)

points at (-1, 0)

               (0,-1)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

6 feet

20/15= 1.3 8/1.3=6.1 round to the nearest tenth and BOOM 6 feet

Answer:

Step-by-step explanation:

P +.20p and 1.2p

Area of a circle = pi x r^2

R is the radius which is half the diameter.

You are given the diameter so divide that by 2 to get the radius:

36/2 = 18

Now using the formula above:

Area = pi x 18^2

Area = 1017.4

The answer is A. 1017.4

Area = 1017.4

The answer is A. 1017.4

Answer:

1st- #3 spinned about 21 times

Step-by-step explanation:

Answer:

x=15is your answer

Step-by-step explanation:

8x=120 vertically opposite angle

x=120/8=15

8x = 120

x = 120/8 = 15.

so ans ia 15

Answer: a. e= 24

b. f = 40

Step-by-step explanation:

a. 125% of e = 30

125/100 × e = 30

1.25 × e = 30

1.25e = 30

e = 30/1.25

e = 24

b. 35% of f = 14

35/100 × f = 14

0.35 × f = 14

0.35f = 14

f = 14/0.35

f = 40

Answer:

282.6

Step-by-step explanation:

v=pi r^2 h =3.14x9x10

since diameter is 0.5 feet then it is equal to 6 inch so diveided by 2 give 3 as radius and square 3 give 9 so 3.14x9x10 = 282.74 which 282.6 is the closees answer  

Answer:

second

Step-by-step explanation:

Answer:

8 hours

Step-by-step explanation:

3x = 24

x = 8

Given:

The geometric sequence is:

[tex]6,-54,486,...[/tex]

To find:

The equation for the nth term of the given geometric sequence.

Solution:

We have the given geometric sequence,

[tex]6,-54,486,...[/tex]

Here, the first term is 6 and the common ratio is:

[tex]r=\dfrac{-54}{6}[/tex]

[tex]r=-9[/tex]

The nth term of a geometric sequence is:

[tex]a_n=ar^{n-1}[/tex]

Where, a is first term and r is the common ratio.

Putting [tex]a=6,r=-9[/tex] in the above formula, we get

[tex]a_n=6(-9)^{n-1}[/tex]

Therefore, the equation for the nth term of the given geometric sequence is [tex]a_n=6(-9)^{n-1}[/tex].

Answer:

first one should be SAS

second one should be the third choice

Answer:

it is 102 cm²

Step-by-step explanation:

because you add 6+6+6+6+6+6+3+3+8.5= 102cm²

Answer:

0.891 km furthur

Step-by-step explanation:

2.421 - 1.53 = 0.891

Answer:

-2r+8

Step-by-step explanation: