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oee [108]
2 years ago
9

A boy walks 58 feet up a ramp having a 22.5 degree inclination. how high is he standing from the ground?

Mathematics
1 answer:
yKpoI14uk [10]2 years ago
6 0

Boy is 22.5 feet high from the ground

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

The given question can be solved by sin, as value of perpendicular is to be evaluated and height and angle is provided. Let height from the ground be x

sin(22.5°) = x / 58

x = 58sin22.5 = 58(.38258)  =  22.5 feet high.

Thus the Boy is 22.5 feet high from the ground.

Learn more about trigonometry here :

brainly.com/question/26719838

#SPJ4

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Consider the equation: 3 4 x − 12 = 12 Which statement could be a translation of the given equation? A number minus 12 is three-
musickatia [10]

Answer:

<h3>The translation statement for the given equation \frac{3}{4}x-12=12 is " Three-fourths of a number minus twelve is the same as twelve. "</h3>

Step-by-step explanation:

Given equation is \frac{3}{4}x-12=12

<h3>To find the statement which could be a translation of the given equation :</h3>
  • \frac{3}{4}x-12=12
  • The above equation can be written as
  • Three-fourths of a number x minus twelve is equal to twelve.
<h3>Therefore the translation statement for the given equation \frac{3}{4}x-12=12 is " Three-fourths of a number minus twelve is the same as twelve. "</h3>

The option is <u> " Three-fourths of a number minus twelve is the same as twelve. "</u> correct

4 0
3 years ago
Read 2 more answers
Which steps transform the graph of
vitfil [10]

Answer:

The correct option is the last one.

Step-by-step explanation:

To transform the graph of y = x ^ 2 into y = -2(x - 2) ^ 2 + 2 the following steps are fulfilled:

1) Move the graph 2 units to the right:

Let y = f (x-2) then y =(x-2) ^ 2 Notice that the cut point has been moved to x = 2.

2) Reflect on the x axis:

To reflect a graph on the x-axis we do y = -f(x) Then f (x) = -(x-2) ^ 2

3) Stretch according to factor 2.

For this we do y = 2f(x)

Then we have f(x) = -2 (x-2) ^ 2

4) Move up the graph in two units:

We do y = f(x) +2

Then y = -2(x-2) ^ 2 +2.

These steps coincide with those listed in the last option. Therefore the correct option is the last one.

"Translate 2 units on the right, reflect on the x-axis, stretch according to the factor 2 and translate 2 units"

4 0
3 years ago
Ty bought 5 folders that cost $3 each. How much did he spend on folders?
Novay_Z [31]
5 x 3 = 15

Ty spent $15 on binders
3 0
3 years ago
The admission fee to a video game arcade is $1.25 per person, and it costs $0.50 for each game played. Latoya and donnetta
dalvyx [7]

Answer:

15 games.

Step-by-step explanation:

Here is the complete question: The admission fee to a video game arcade is $1.25 per person, and it costs $0.50 for each game played. Latoya and donnetta have total $10.00 to spend. What is the greatest number of games they will be able to play?

Given: Admission fees= $1.25 per person.

           Cost of each game played= $0.50.

           Total Money, Latoya and Donnetta have is $10.

First lets find total admission fees both will pay.

∴ Total addmission fees= Fees\ per\ person \times number\ of\ person

Total addmission fees= \$1.25\times 2= \$ 2.50

Now, money remaining after paying admission fees.

Money remaining = Total\ money - Admission\ fees

∴ Money remaining = \$10-\$2.5= \$ 7.5

∴ Money remained to play video games is $7.5.

Next, finding the maximum number of games, both will be able to play.

As we know, each game will cost $0.50.

Total number of games played= \frac{Money\ remaining}{Cost\ of\ each\ game}

⇒ Total number of games played=\frac{\$ 7.5}{\$ 0.5} = 15\ games

∴ 15 games is the maximum number of games they will be able to play.

3 0
3 years ago
Identify the volume of a cone with base area 64π m2 and a height 4 m less than 3 times the radius, rounded to the nearest tenth.
melomori [17]
V=basearea times 1/3 times height
basearea=6<span>4π m2
hmm, they try to make it difficult

basearea=circle=pir^2
pir^2=64pi
divide by pi
r^2=64
sqrt
r=9

h is 4 les than 3 time r
h=-4+3(8)
h=-4+24
h=20

v=1/3*64pi*20=1280pi/3 m^3=1350.4

C
</span>
4 0
3 years ago
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