MATHEMATICS HIGH SCHOOL

On a baseball field, the pitchers mound is 60.5 feet from home plate. During practice, a batter hits a ball 186 feet at an angle of 40 degrees to the right of the pitchers mound. An outfielder catches the ball and throws it to the pitcher. Approximately how far does the outfielder throw the ball?!

Answers

Answer 1

Answer:

Use cosine law to solve for x

$x^2=60.5^2+186^2-2*60.5*186* cos(40^o)\nx^2=38,256.25-17,240.6\nx^2=21,015.65\nx= √(21,015.65) \nx=145$

Answer 2

Answer:

Answer:

The outfielder threw the ball 145 feet away.

Step-by-step explanation:

We are given that,

Distance of mound from home plate = 60.5 feet

Distance of outfielder from home plate = 186 feet

Angle made by the batter = 40°

So, using the cosine law, we have,

$c^(2)=a^(2)+b^(2)-2ab\cos \theta$

i.e. $c^(2)=(60.5)^(2)+(186)^(2)-2* 60.5* 186* \cos 40$

i.e. $c^(2)=38256.25-22506* 0.766$

i.e. $c^(2)=38256.25-17239.596$

i.e. $c^(2)=21016.654$

i.e. c = ±144.97 ≈ ±145

Since, the distance cannot be negative.

Thus, the outfielder threw the ball 145 feet away.

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How to solve this math 3-3x6+2=

Answers

The value of the expression 3-3x6+2 is -13.

What is Expression?

An expression is combination of variables, numbers and operators.

The given expression is 3-3x6+2

Three minus three times of six plus two.

The operators in the expression are plus and minus which are of addition , subtraction and multiplication.

To solve this equation, we need to first multiply 3 and 6, 3×6

which is 18.

we subtract 18 from 3, which is -15.

3-18+2

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When eighteen is subtracted from 5 we get minus thirteen.

-13

Hence, the value of the expression 3-3x6+2 is -13.

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Lets change the equation.
3 -(3*6) +2 Multiply 3*6 first and get 18
3 -18+2 - Same as 3-(18)+2
-15 +2 3 -18 is the same as doing 18 -3, but with the negative
Do the same to -15 +2

Answer is -13

What is the radius of a circle with circumference 22m? Instructions: Solve Each Problem. Round to the nearest tenth, If necessary. Use 3.14

Answers

The radius of a circle: r = ?
C = 22 m
C = 2 r π
r = C /( 2 π )
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A ball is thrown into the air from the top of a building. The height, h(1), of the ball above ground, t seconds after it isthrown, can be madeled by the function h(t) = -16t2 + 64t + 80. Based on the function, the "80"
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d. The initial height of the ball

Answers

Answer:

Step-by-step explanation:

dddddddddddddddddddd

The is d, the initial height of the ball

PLEASE ANSWER ASAP! ANSWER MUST INCLUDE EXPLANATION IN ORDER TO RECEIVE 10 POINTS AND THE BRAINLIEST ANSWER! THANKS!!!

Answers

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The base is a circle and you know the radius. The area of a circle is radius^2*pi.
Therefore: 6^2 * 3.14 = 113.04

Now, you know the volume of the batter which is poured into the pan: 550 cm^3. You know the area of the base of the cylinder: 113.04. You only need the height, which you can calculate.
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Please help me!when it ask me to Multiply your sum by the cube of 25.

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Answers

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Look at this equation k + 31 = 72 Which related equation below will correctly solve for the variable k? Question 1 options: k = 72 + 31 k = 72 - 31 k = 72 · 31 k = 72 ÷ 31

Answers

Answer:

To solve for the variable "k" in the equation "k + 31 = 72," you need to isolate "k" on one side of the equation. Here's how you can do it using friendly words and reasons:

1. Start with the original equation: "k + 31 = 72."

2. To isolate "k," you want to get rid of the "31" on the left side of the equation. You can do this by subtracting 31 from both sides to keep the equation balanced.

3. Subtract 31 from both sides:

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Step-by-step explanation:

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