Answer: The answer is 125ft
Step-by-step explanation: I just did it
The law of cosines formula gives the square of the distance the
outfielder must throw the ball.
Correct response:
The distance the outfielder must throw the ball to return it to the pitcher is approximately 125 feet.How to use the cosine rule to find the distanceDistance of the home plate from the pitcher's mound = 43 feet
Angle at which the ball is hit = 27° east of the pitcher's mound
Distance the ball travels before it is caught = 162 feet
The sides, b and c, and the included angle, A, of the triangle drawn are respectively;
b = 43 feet
c = 162 feet
A = 27°
The length of the third side, a of the triangle is the distance from the outfielder to the pitcher.
According to law of cosines, we have;
a² = b² + c² - 2·b·c·cos(A)
a² = 43² + 162² - 2 × 43 × 162 × cos(27°) ≈ 15679.497105
Approximating to the nearest foot, we get;
a ≈ 125 feet
The distance the outfielder must throw the ball to return it to the pitcher is a ≈ 125 feet.Learn more about the law of cosines here:
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Help due today will give brainlist
Answer:
4 fancy and 5 plain
Step-by-step explanation:
The volume of a cube 512 cubic inches. What is the length of the cube?
Answer:
I believe it is 8in
Step-by-step explanation:
someone correct me if I'm wrong
If a right hexagonal prism became an oblique hexagonal prism, would that have any effect on the volume and height of the
solid? Explain your answer.
Answer:
Even if a right solid became oblique, the volume would not change, because the cross sectional area and height would remain the same. Therefore, by Cavalieri's principle, the volume is the same as the original solid.
Step-by-step explanation:
sample answer
Please Help :(
Evaluate the expression when x = 9:
5|6−x|
A)−30
B)10
C)15
D)75
Answer:
it is C
Step-by-step explanation:
Its c because i had the exact same problem
The hanger image below represents a balanced equation,
6
21
Find the value of d that makes the equation true.
MY
d=
Answer:
The value of d that balances the equation is d=15
Step-by-step explanation:
Equations
We are given an image with a hanger that represents a balanced equation.
If the equation is balanced, then the 'weights' of each side should be equal.
On the right side, there is 21 and on the left side, there are 6 and d.
Adding both, we have 6+d on the left side.
Equating both sides:
6 + d = 21
To find d, we subtract 6 on both sides:
d = 21 - 6
d = 15
The value of d that balances the equation is d=15
Answer:
d=15
Step-by-step explanation:
6+d=21
so that means d=15
6+15=21
hope this helped! :)
twice the sum of 4 and x is less than -16. solve the i equality
Answer:
x<-2
Step-by-step explanation:
4x-2x2=-16 so it must be anything less than -16
Negatives get smaller the more digits, so x is less than -2
What is f(2) if f(x) = 2x-5 and f(4) if f(x) = -3x + 15
step by step please!
Answer:
f(2) = - 1 and f(4) = 3
Step-by-step explanation:
To evaluate f(2), substitute x = 2 into f(x), that is
f(2) = 2(2) - 5 = 4 - 5 = - 1
To evaluate f(4), substitute x = 4 into f(x)
f(4) = - 3(4) + 15 = - 12 + 15 = 3
3a + 2b = 9 and 8x + 6y = 60
the question is wrong as it should be either both A's and B's or X and y
What is the equation of the line perpendicular to y = = x+ 3 passing through the point (-3,4)?
Answer:
y = 3x + b
Step-by-step explanation:
The slope of y=mx+3 that passes through (-3,4) is found like this:
1. Substitute the y and x values in (4 = m*(-3) + 3).
2. Simplify by subtracting 3 from each side (1 = m*(-3)).
3. Simplify by dividing each side by -3 (-1/3 = m).
Since the slope of perpendicular lines are negative reciprocals, the slope of the perpendicular line is 3. The y-intercept can be anything and it will still be perpendicular.
Write the equation of a line with a slope of 3 that passes through (-3,2).
Answer:
y = 3x + 11
Step-by-step explanation:
Substitute the information into the point-slope form equation.
Point-slope form: y - y₁ = m(x - x₁)
y - 2 = 3(x - (-3))
y - 2 = 3(x + 3)
y - 2 = 3x + 9
y = 3x + 11
PLEASE HELP WILL MARK BRAINLIEST!!!!
a tangent to a circle passes through the center of the circle
True
false
sometimes true
Answer:
False.
Step-by-step explanation:
A tangent is a line that only touches exactly one point of the circle. (The outer edge) :)
answers for the 2 boxes please
Answer:
(4, 22)
Step-by-step explanation:
y = 5x + 2
y = 3x + 10
Since both equations are equal to y, we can have both equations equal to each other).
5x + 2 = 3x + 10
5x + 2 - 3x - 2 = 3x + 10 - 3x - 2
5x - 3x = 10 - 2
2x = 8
2x/2 = 8/2
x = 4
(Substitute the x value to any equation to solve for y).
y = 5x + 2
y = 5(4) + 2
y = 20 + 2
y = 22
So, the answer is (4, 22).
Hope this helped! <3
Find ghe solution to the system. Write your solution as an ordered pair (x,y) with no spaces,no solution,or infinitely many.y=4x and 3x+2y=55
Answer:
The solution of the system is (5, 20).
Step-by-step explanation:
y = 4x and 3x + 2y = 55 are simultaneous equations. To find the unknowns, we have to solve these equations simultaneously.
The first can be rewritten as
4x – y = 0.
Therefore, we have:
4x – y = 0
3x + 2y = 55
Multiplying the first equation by 2 all through, we have
8x – 2y = 0.
So we can now combine the second equation with the first multiplied by 2.
8x – 2y = 0
3x + 2y = 55
Adding these equations we have:
11x = 55
Divide both sides by 11 and we have
x = 5
Substitute x = 5 in equation 1, we have
4(5) – y = 0
y = 20.
Therefore, x = 5 and y = 20.
The solution of the system is (5, 20).
True or False.
The following relation represents a function.
19. Mel cleans houses.
She earns $7.50 every hour that she dusts.
She earns $10.00 every hour that she scrubs floors.
She scrubbed floors for 1 1/2 hours and dusted for hours.
How much money did Mel earn?
Answer: $45
Step-by-step explanation: 10 for the hour she scrubbed the floor half of that which is 5 for the half hour she scrubbed so that would be $15, then 7.50 times 4 for the hours she dusted which would be 30, and 30 plus 15 is 45
Please help me 19 points for whoever answers number 3
True or False? (2,-2) is the solution to the system of equations.
3x - 2y = 10
5x + 3y = 4
True
False
Answer:
True cuz they intercept at (2,-2) plz braliest me
Step-by-step explanation:
Need help pls very important 25 points here for person who gives good answer will get brainlyest
Answer: D. 2
Step-by-step explanation:
-3t + 6 = 0
1. Subtract 6 from each side
-3t + 6 - 6 = 0 - 6
-3t = -6
2. Divide each side by -3 to isolate t and get the answer to the equation
-3t/-3 = -6/-3
t = 2
You can check your answer by plugging your calculated value back into the equation and evaluating to find that 0 = 0.
Rabbit populations can double every 30 days. If there are 26 rabbits on a farm, how many rabbits will be on the farm after 240 days? Use the Formula: Future Amount = { ](1+__)^{ }
Answer: 6,656 rabbits.
Step-by-step explanation:
The initial number of rabbits is 26.
We know that every 30 days, this number is doubled.
Then after 30 days, the population of rabbits is: 2*26
After other 30 days, the population will be: 2*(2*26) = 26*(2)^2
After another 30 days, the population will be: 2*26*(2)^2 = 26*(26)^3
The equation for this population can be written as:
P = A*(1 + 1)^(d/30)
where:
A is the initial population, in this case, 26
d is the number of days that have ben passed.
the denominator of 30 is because the population doubles every 3 days, so when d = 30, we will have that d/30 = 1, this is the first time that the population is doubled. When d = 60, d/30 = 2, this is the second time that the population is doubled, and so on.
Then our equation is:
P(d) = 26*(2)^(d/30)
The population after 240 days will be:
P(240) = 26*(2)^(240/30) = 6,656
So after 240 days, there will be 6,656 rabbits.
How would the frog hop to meet the following requirements?
• From 3, make one hop and land on 6.
• From 6, make one hop and land on the opposite of 6.
• From the opposite of 6, make one hop to land on the opposite of the opposite of 6.
Answer:
He would make one hop to land on 6.
Step-by-step explanation:
He starts on 6, and hops to the opposite of the opposite of 6, which is 6.
What is ghe solution to this equation?
02(x - 20) = 44 - x
The given equation can be solved to obtain x = 40.
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The given linear equation can be solved as follows,
0.2(x - 20) = 44 - x
=> 0.2x + x = 44 + 0.2 × 20
=> 1.2x = 48
=> x = 48/1.2
= 40
Hence, the value of x for the given equation is found to be 40.
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What is the simplest form of this expression?
-x(4x2 - 6x + 1)
Answer:
−4x3+6x2−x
Step-by-step explanation:
(−x)(4x2−6x+1)
=(−x)(4x2+−6x+1)
=(−x)(4x2)+(−x)(−6x)+(−x)(1)
=−4x3+6x2−x
Aisha purchases a hot chocolate each for $5.87. How much would she paid after 3.5 weeks
How much warmer is 12°C than -20°C?
To put it simply, 12 degrees C is 12 away from 0 and -20 degrees C is 20 away from 0. Taking these two inputs and adding them together should give you 32. So 12 degrees C is 32 degrees warmer than -20 degrees C
Answer:
32
Step-by-step explanation:
!!Please Help!! Find the value of z to the nearest tenth.
Answer:
x = 14[tex]\sqrt{2}[/tex]
y = 14
z= 14[tex]\sqrt{3}[/tex]
Step-by-step explanation:
Notice that the top triangle is a 45-45-90 triangle and the triangle below is a 30-60-90 triangle.
Using the fact that the top triangle is a 45-45-90 triangle and also an isosceles triangle, we can see that x will be the same as its respective leg, 14[tex]\sqrt{2}[/tex]
Now, we must find a side length of the bottom triangle. We can use the Pythagorean Theorem to find the third side of the top triangle, which is also a side of the bottom triangle. We can find that the third side must be 28. We can now use this to find the other sides of the bottom triangle.
Since y is opposite to the 30 degree angle, it is half of the hypotenuse. The hypotenuse which we found earlier is 28, therefore, y is 14. z is then 14[tex]\sqrt{3}[/tex] using either Pythagorean Theorem or special right triangle properties for 30-60-90.
Can someone help me! Please
Answer:
4c - 2
Step-by-step explanation:
Add up all the terms to find the perimeter.
2c + 2(c - 1)
2c + 2c - 2
4c - 2
Therefore, the perimeter is 4c - 2.
i need help if yall can help me
Answer:
C. 5.8
Step-by-step explanation:
We use the Pythagoras theorem here. which is a²+b²=c².
a and b are the replacements for the 5miles and 3miles here.
They are a and b because a and b are always on the right angle side.
The longest side of this triangle is called a hypotenuse which is the c in this case.
the other sides (a and b) are called the adjacent and the opposite.
it doesn't matter if you use adjacent or opposite for a and b in this case.
the only important thing is the hypotenuse here.
So it's a²+b²=c², which is 5²+3²=c².
5² is 25 and 3² is 9, so we add them and we get 34.
so c²=34, we don't want the square on c so we send it to 34 which becomes √34.
√34 gives us 5.8 miles which is up to just only one decimal place.
You might need to use calculators for square roots because they take long to calculate.
Robin saves $500 at a yearly simple interest rate of 4%. What is the total amount of money she has after 20 years?
Answer:
Use the equation 500x0.04x20 and then 500x20 and add the sums up and get 10,400 i believe is im wrong sorry :/
$900 is the total amount of money she has after 20 years.
What is simple interest?Simple interest is, by definition, the amount of interest paid on a specific principal sum of money when an interest rate is applied. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.
From the formula of simple interest A = P(1 + rt)
Where A = amount earned
P = principal amount
r = rate of interest
t = time
In our case
P = 500
r = 4%
t = 20
Thus,
Amount earned after 20 years = 500(1 + 4*20/100)
Amount earned after 20 years = 500(1 + 4/5)
Amount earned after 20 years = 900
therefore, the total amount of money she has after 20 years is $900.
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start with x, subtract y, multiply by a, then add z
