A pitcher ok a baseball team is practicing his fast ball trying to ensure he hits the strike zone. He consistently releases the ball 3.4 feet high while he is pitching. The pitcher must aim for the ball to hit the ground approximately 58.8 feet from the pitcher's mound in order to stay in the strike zone. At what angle of depression, to the tenth of a degree, must he release the ball

Answers

Answer 1

Answer:

3.3°

Step-by-step explanation:

The set up of the question will give a right angled triangle where the height covered by the bal is the opposite side.

The length at which the pitcher hit the ground is the hypotenuse.

Given

Opposite side = 3.4m

Hypotenuse = 58.8m

Required

Angle of depression

Using SOH CAH TOA trigonometry identity

According to SOH,

Sin(theta) = opposite/hypotenuse

Sin(theta) = 3.4/58.8

Sin(theta) =0.05782

theta = sin^-1(0.05782)

theta = 3.32°

Hence the angle of depression that he must release the ball to nearest tenth is 3.3°


Related Questions

help i’m timed pllzzzzz

Answers

Answer:

[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]

Step-by-step explanation:

The standard form of trinomial is given as:

[tex]ax^2+bx+c[/tex]

And the factored form is:

[tex](px+r)(qx+s)[/tex]

In order to find the values of a,b and c in terms of p,q,r and s we will take the factored form, multiply it and then compare it with the standard form.

So,

[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]

Now comparing it with the standard form of trinomial

We will compare the co-efficients of x^2, x and the constant

By comparing, we get

[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]

Hence,

[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]

( − .3 s − 2 ) + 2 ( 5 − 3.4 s )

Answers

Answer:

−7.1s+8

Step-by-step explanation:

First Distribute

=−0.3s+−2+(2)(5)+(2)(−3.4s)

=−0.3s+−2+10+−6.8s

Combine Like Terms:

=−0.3s+−2+10+−6.8s

=(−0.3s+−6.8s)+(−2+10)

=−7.1s+8

Answer:

7.1

s

+

8Step-by-step explanation:

−7.1s+8

PLS PLS PLS HELP MEEEEE HIGH POINTS PLS ANSWER CORRECTLY I NEEEED U


In parallelogram WXYZ, the shorter sides are half the length of the longer sides.


Parallelogram W X Y Z. The length of sides W X and Z Y are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to Angle W.


Which statements are true? CHECK ALL THAT APPLY.

A. Quadrilateral WXYZ is a rectangle.

B. The quadrilateral has opposite sides that are parallel.

C. The quadrilateral has opposite angles that are congruent.

D. If W X = 12 in., then X Y = 6 in.

E. Side WZ must be 12 inches.

F. mAngle Z = measure of angle X

G. Measure of angle W = 120 degrees

H. Measure of angle Z = 120 degrees

Answers

Answer:

B

E

H

I think this is right

For the given parallelogram following statements are true

B. The quadrilateral has opposite  sides that are parallel

F. Measure of angle Z = Measure of angle X

G. Measure of angle of W =120 degrees

What is parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides

Given,

Shorter sides are half the length of the longer sides. Length of he side WX and ZY are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to angle W

Draw the figure using the the data

Using the figure we can say that

The quadrilateral has opposite  sides that are parallel

Measure of angle Z = Measure of angle X

Measure of angle of W =120 degrees

Hence, the correct options are B,F and G

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4) What type of angle pair are A. vertical angles
B. supplementary angles
C. adjacent angles
D. linear pair

Answers

Answer:

C. adjacent angles

Hope this helps also please mark brainliest :)

PLEASE HELP CORRECT ANSWER GETS BRAINLIEST !

Answers

Answer:

2nd Option

Step-by-step explanation:

which is the correct curve for y=3/x

What is b) please help I will give 5 points or even all of them. PLEASE PLEASE PLEAS HELP!!!!!​

Answers

Answer:

A

Step-by-step explanation:

If we evaluate 3/x at x=1, we get 3/1 = 3.

The only one that showed that is graph A, and we can further check by evaluating other points, such as when x = 1/2, y = 6, and that's shown on graph A.

If this helped, consider giving brainliest.

Graph A, correctly represents the function y = x/3.

What is a graph?

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

From the table of y = 3/x,

The value of (x, y) are (0.5, 6), (1, 3), (2, 1.5), (3, 1) and (4, 0.75).

Now, Observe graphs A, B, and C.

Graph A, when x = 0.5, y = 6, when x = 1 y = 3 so graph A matches with our table.

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Nate is saving money for the class trip to Chicago. He already has 300$ saved up so far and can save an additional 50$ each month. If the trip costs 850 how many months will it take him to have enough for the trip?

Answers

Answer:

11 months

Step-by-step explanation:

Nate needs $850 total, and he already has $300. So, the money left that he needs is 850-300 which is $550.

Now, he can save $50 each month, and we need to find the amount of months, x, it will take to reach his goal.

He needs $550, to the equation is:

50x=550

We need to isolate x, so we divide both sides by 50.

x=11

It will take Nate 11 months to save for the trip.

Answer:

11 months

Step-by-step explanation:

850-300=550

550÷50=11

If B is in the interior of ∠DEF, m∠DEB = 27.2, and m∠DEF = 92.5, find m∠BEF. (Lesson 2-7)

Answers

Answer:

m∠BEF = 65.3°

Step-by-step explanation:

Given:

m∠DEB = 27.2,

m∠DEF = 92.5

Required:

m∠BEF

SOLUTION:

Since B is the interior of ∠DEF, it means ∠DEB and ∠BEF are adjacent angles that make up ∠DEF. And they share the same side, BE.

Therefore:

m∠BEF + m∠DEB = m∠DEF (angle addition postulate)

m∠BEF + 27.2 = 92.5

Subtract 27.2 from each side

m∠BEF + 27.2 - 27.2 = 92.5 - 27.2

m∠BEF = 92.5 - 27.2

m∠BEF = 65.3°

Answer:

92.5 and 27.2 and 65.3 will be the answer.

if i = √-1, then i^2 = ?

Answers

i^2 = -1
Because if i is square root of -1, squared would take out the square root

Ik it’s a bit confusing with my wording

The imaginary unit i is exactly defined as a number that gives -1 when squared.

So, by its very definition, you have the attachment I have attached as an answer.

use the numbers 1,3,4,6 exactly once with any basic math operation(multiplication,division,addition and subtraction) to total 24​

Answers

Step-by-step explanation:

It is 4*6! We have to play with these numbers (1,3, and 4) to create 4, or we have to play with these numbers (1,3, and 6) to create 6.

If you divide 6 by 1/4, you will get 24.

If you divide 4 by 1/6, you will get 24.

How to create 1/4 from 1,3, and 4?

How to create 1/6 from 1,3, and 6?

Creating 1/4 from 1,3, and 4 is possible by doing this: 1–3/4, it is =1/4!

So, the answer is 6/[1–3/4]=24.

Among the given numbers you can see that 6*4 gives you 24 but you have to use 1 and 3 .

You can't multiply 1 and 3 in numerator because you won't get 24, and you can't even divide it by 1,3 .

So only way is to get 1 in the denominator which can be obtained by

6/(1–(3/4)

which simplifies to 6/(1/4) = 24

Percentage rate of increase or decrease y = 3500(1.079)

Answers

Answer:

Increase

Step-by-step explanation:

If you multiply the numbers it increases!

Evaluating Expressions
Evaluate the expressions for the given value and match them with the simplified answer.
5 - x/3 for x = -3
2
- 2 + 2x/3 for x = 6
6
2 - 3x4 for x = 4
0
-3 + x/2 for x = 6
-1
() Intro
Done

Answers

1) 6
2) 2
3) -1
4) 0

+++

Evaluating the given expressions and simplifying the answers, we would have:

1. 6

2. 2

3. -1

4. 0

How do you Evaluate an Expression?

To evaluate an expression, plug in the value of the variable given and simplify.

Thus:

1. 5 - x/3 for x = -3

Substitute x = -3 into the expression

5 - (-3)/3 = 5 - (-1) = 6

2. - 2 + 2x/3 for x = 6

-2 + 2(6)/3

-2 + 4

= 2

3. 2 - 3x/4 for x = 4

2 - 3(4)/4

2 - 3

= -1

4. -3 + x/2 for x = 6

-3 + 6/2

-3 + 3

= 0

Therefore, evaluating the given expressions and simplifying the answers, we would have:

1. 6

2. 2

3. -1

4. 0

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Find the length of the arc on a circle with a radius of 7 centimeters and a central angle of 74 degrees

Answers

Answer:

Length of arc: 9.04cm

Step-by-step explanation:

Circumference = pi x diameter (or radius times 2 in this case)

C = pi x (7 x 2)

C = pi x 14

C is equal to around 43.98cm

In order to find the length of the arc, you use the central angle and turn it into a fraction, and then multiply that fraction by the circumference.

74 degree angle/ 360 degrees --> 74/360

74/360 x 43.98 = 9.04cm

What is the measure of angle b?
A) 54
B) 46
C) 126
D) 136

Answers

a. 54° because opposite angles (i forgot the actual term) are equal
C. 126 bc you add up to 180 so I subtract 54 to 180 and got 126

BRAINLY FOR RIGHT ANSWER AND STEP BY STEP LOTS OF POINTS BTW
A car’s fuel economy E(miles per gallon) is given by the formula E=mg, where m is the number of miles driven and g is the number of gallons of fuel used.
Solve the formula for m.
If Sally’s car has an average fuel consumption of 30 miles per gallon and she used 9.5 gallons, how far did she drive?

Answers

Answer:

60 miles

Step-by-step explanation:

What is the solution to the equation?

Answers

Answer:

-63

Step-by-step explanation:

1. Fill in the blank: The value of 8 dimes is ___
% of the value of a dollar.
2. Name a combination of coins that is 130% of the value of a dollar.

Answers

Answer:

1. 80%.

2. 2 quarters, 3 dimes, 4 nickels, 30 pennies. (if you don't use pennies make it 6 dimes.)

Avery owns a small business selling ice-cream. She knows that in the last week 6
customers paid cash, 48 customers used a debit card, and 16 customers used a credit
card.
If next week, she is expecting 400 customers, about how many would you expect to
pay with a credit card? Round your answer to the nearest whole number.

Answers

Answer:

About 91 customers would be expected to pay with a credit card.

Step-by-step explanation:

Well you have ro set up a ratio of 16/70 = x/400

This way the amount of people that used a credit card out of all of the people that came and you can figure out the amount of people that will use a credit card out of the 400 people that are expected tho come. You multiply like a butterfly. 70 times x and 400 by 16. Then you will get 6,400=70x divide both sides by 70 and get 91.42=x so if ypu round, 91 people are expected to pay using a credit card out of the 400 customers that are expected to come.

Help me solve this problem please

Answers

Answer:

y = -2x + 17

Step-by-step explanation:

y has to equal 5:

incorrect

y = -2x - 17

y = -2(6) - 17

y = -12 - 17

y = -29

incorrect

y = -2x - 16

y = -2(6) - 16

y = -12 - 16

y = -28

incorrect

y = -2x + 16

y = -2(6) + 16

y = -12 + 16

y = 4

correct

y = -2x + 17

y = -2(6) + 17

y = -12 + 17

y = 5

Find the slope of the line y = 2x + 3.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

proper fraction

Step-by-step explanation:

In the picture lines A B and CD are parallel. Find the measures of the following angles. Explain your
reasoning.
1. ZBCD
2. ZECF
3. ZDCF

Answers

1) 38 bc of alternate interior angles
2) 38 bc of corresponding angles
3) 142 bc of supplementary angles and alternate exterior angles

4. If you are given that plq and p || r,
what can you conclude about lines q and r?
State the theorem that justifies that conclusion.

Answers

What I don’t get that

Zuri is stuck in traffic. She notices that she only drove 3 miles in 15 minutes. Find Zuri's speed in miles per minute. Express your answer as a decimal (which will be less than 1).

Answers

Answer:

0.2 miles per minutes

Step-by-step explanation:

We are expected to solve for speed with which  she moves

Step one:

given data

distance = 3 miles

time taken t= 15 minutes

Step two:

we know that speed is

Speed= distance/time

Speed= 3/15

Speed= 1/5

Speed=0.2 miles per minutes

A line has a slope of Negative three-fourths and passes through the point (–5, 4). Which is the equation of the line?
y = negative three-fourths x + one-fourth
y = negative three-fourths x + 4
y = negative three-fourths x minus 2
y = negative three-fourths x minus one-fourth

Answers

The answer is A. y=-3/4x+1/4

The required equation of the line is y = (-3/4)x - 2 which passes through the point (–5, 4). The correct answer would be an option (C).

What is the slope of the line?

The slope of a line is defined as the gradient of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Let the required equation of the line would be as:

y - y₁ = m(x - x₁)

Since the line passes through the point (–5, 4) and slope m = -3/4

So substitute the values in the above equation, and we

y - (-5) = (-3/4)(x - 4)

y + 5 = (-3/4)x -  (-3/4)4

y + 5 = (-3/4)x + 3

y = (-3/4)x + 3 - 5

y = (-3/4)x - 2

Thus, the required equation of the line is y = (-3/4)x - 2.

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spimplyfy 2x+4-3x+2+3x2 x + 4 − 3 x + 2 + 3 x

Answers

Answer:

12x + 12  

Step-by-step explanation:

2x+4-3x+2+3x(2)+x+ 4 − 3 x + 2 + 3 x

Solve 3x(2) = 6x

Next combine like terms

Like terms:

2x + 3x + 6x + 1x + (-3x) + 3x = 12x

4 + 2 + 4 + 2 = 12

Rewrite simplified

12x + 12  

^^This is the correct answer assuming that 3x2 x is 3x(2) + x

In the fraction 7/8 , the Numerator Denominator is 7.

Answers

Answer:

The numerator

Step-by-step explanation:

numerator is the top

denominator is the bottom

Solve by the substitution method.

-3x – 3y = 3

y=-5x – 17

Answers

Answer:

postive 6

Step-by-step explanation:cause negative plus a negative equals a postive

A stadium charges $75 for each seat in section A, $50 for each seat in section B, and $40 for section C. There are three times as many seats in section B as in section A. The revenue from selling odd 20,000 seats is 897,500. Write a system to represent the situation.

A. b=3×c
a+b+c=20,000
75a+50b+40c=897,500

B. b=3×a
a+b+c=20,000
75a+50b+40c=897,500

C. a=3×b
a+b+c=20,000
40a+50b+75c=897,500

D. a=3×b
a+b+c=20,000
75a+50b+40c=897,500​

Answers

Answer:

B. b=3×a

a+b+c=20,000

75a+50b+40c=897,500

Step-by-step explanation:

A stadium charges

$75 for each seat in section A

$50 for each seat in section B

$40 for section C.

There are three times as many seats in section B as in section A.

a = 3× b

The revenue from selling odd 20,000 seats is 897,500.

a + b + c = 20,000 seats

Hence,

$75 × a + $50 × b + $40 × c = 897,500

75a + 50b + 40c = 897,500

Hence, the system of equations is :

B. b=3×a

a+b+c=20,000

75a+50b+40c=897,500

I need help with this slope problem​

Answers

Answer:

what is it? you did not post the picture

What is an equation of the line with a y-intercept of `-5` and a slope of -3/5?

Answers

Answer:

Step-by-step explanation: 5=-3/5 that is how it is written in slope form.

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