On a baseball field, the pitcher's mound is 60.5 feet from home plate. During practice, a batter hits a ball 214 feet at an
angle of 36° to the right of the pitcher's mound. An outfielder catches the ball and throws it to the pitcher. Approximately
how far does the outfielder throw the ball?
Answers
9514 1404 393
Answer:
169 ft
Step-by-step explanation:
The law of cosines can be used to find the distance from the outfielder to the pitcher. It tells you for triangle ABC, the length of side c can be found from ...
c² = a² +b² -2ab·cos(C)
Here, we hve a=60.5, b=214, and C=36°. Then the desired distance is ...
c = √(60.5² +214² -2·60.5·214·cos(36°)) ≈ √28507.56 ≈ 168.84
The outfielder throws the ball about 169 feet.
Related Questions
use the information in the diagram, set up a proportion to solve for the height of the tree
Answers
Answer:
Step-by-step explanation:
There are a couple of ways you could solve this problem. B is one of them.
The correct answer is going to be Small hypotenuse / Large hypotenuse = tree / building height
Let the tree equal x
100/220 = x / 176 Multiply both sides by 176
100 * 176 / 220 = x
x = 80
Notice that 80 is almost 1/2 of 176 so the answer should be right since 100 is nearly 1/2 of 220
Please help me solve this problem
Answers
Determine whether the mapping is a relation or a function or neither.
the 4th awnser was cannot be determined
Answers
Answer:
The answer is not a function
Step-by-step explanation:
I think at least
teresa repartee un chocolate entre sus hermanos. ella le dio 1/3 a miguel y 1/4 a diego. que parte de chocolate repartido teresa?
Answers
Answer:
5/12
Step-by-step explanation:
Deje que el chocolate total se represente como 1
La cantidad de tarta de chocolate que le llega a Teresa es:
1 - (1/3 + 1/4)
Mínimo común denominador = 12
1 - (4 + 3/12)
1 - 7/12
= 5/12
La cantidad o fracción de la tarta de chocolate que le queda a Teresa es 5/12
2. Dentre as formas de representar um número decimal, a mais comum é a que utiliza vírgula. Valor como 0,25 está presente nos comércios, nos hospitais, nas lanchonetes e em muitos outros lugares. Esse valor também pode ser representado por A. ( ) 25/10 B. ( ) 1/4 C. ( )1/25 D. ( ) 1/25
Answers
Answer:
B: 0.25 = 1/4
Step-by-step explanation:
Queremos encontrar otra representación del número 0.25
Notar que hay dos decimales luego de la coma, por lo que podemos multiplicar este número y dividir por 100.
0.25 = 0.25*1 = 0.25*(100/100) = (0.25*100)/(100) = 25/100
Ahora tenemos el número escrito como una fracción, la cual debemos simplificar.
25/100
Podemos ver que tanto el numerador como el denominador son multiplos de 5, por lo que podemos dividir ambos por 5:
25/100 = (25/5)/(100/5) = 5/20
Nuevamente, ambos son multiplos de 5, por lo que podemos dividir ambos por 5.
5/20 = (5/5)/(20/5) = 1/4
así tenemos:
0.25 = 25/100 = 5/20 = 1/4
0.25 = 1/4
La opción correcta es B.
how to do?? helppppp
Answers
Answer:
x = - 3, x = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
(2x - 1)(x + 3) = 0
Equate each factor to zero and solve for x
x + 3 = 0 → x = - 3
2x - 1 = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex]
Answer:
x = 0.5 and -3
Step-by-step explanation:
(2x - 1)(x + 3) = 0
We are solving for the two x values (since this is a polynomial)
(2x-1) = 0/(x + 3)
2x - 1 = 0
2x = 1
x = 1/2 = 0.5
And the second x value
(x + 3) = 0 / (2x - 1)
x + 3 = 0
x = -3
stuck on a maths question please help with an explanation thank you stay safe :)
Answers
======================================================
Explanation:
He answered 5/7 of the 35 short-answer questions correctly. So he got (5/7)*35 = 25 of those questions correct. At 2 marks each for these questions, he earned 25*2 = 50 points from this group alone.
There are 35 short-answer questions and 15 long-answer questions. That's 35+15 = 50 questions total.
We're told that he answered 60% of all the questions correctly. So he answered 0.60*50 = 30 questions correctly.
Earlier we found that he answered 25 short-answer questions, which must mean he got 30-25 = 5 long-answer questions done correctly. At 4 marks a piece, Keith earns 5*4 = 20 points in this group.
So overall, he earned 50+20 = 70 points from both types of questions.
---------------------
If he got all answers correct, then he would earn 35*2 = 70 points from the short-answer questions and 15*4 = 60 points from the long-answer questions. That's a total of 70+60 = 130 points to get a perfect score.
The ratio of his score to the perfect score is 70:130 which reduces to 7:13 when dividing both parts by the GCF 10.
9514 1404 393
Answer:
70/130 . . . . reduces to 7/13
Step-by-step explanation:
StrategyThe problem statement describes 2 kinds of quiz questions, and different relations regarding the numbers of questions answered correctly. The problem asks for the number of marks Keith had relative to the total number of marks.
This means you need to find Keith's marks and the available marks for each question type (4 numbers).
Because of the way the problem tells you the number of long-answer questions answered, additional computations are required to find the total number of questions Keith answered and the number of short-answer questions Keith answered. (The difference of these is the number of long-answer questions answered.) That's 3 more computations.
You have to keep in mind the purpose of each computation and how it fits in to the final result. This is why we label the intermediate results.
SolutionShort Answer Marks
There were 35 short-answer questions for 2 marks each. That's a total of ...
(35)(2) = 70 . . . . marks for all short-answer questions
Keith got 5/7 of those, so got ...
(5/7)×70 = 50 . . . . Keith's marks for short-answer questions.
__
Long Answer Marks
There were 15 long-answer questions for 4 marks each. That's a total of ...
(15)(4) = 60 . . . . marks for all long-answer questions
The total number of questions on the quiz was 35 +15 = 50. Keith answered 60% of them, so answered ...
0.60×50 = 30 . . . . total number of questions Keith answered
We know Keith answered (5/7)(35) = 25 short-answer questions, so must have answered 30-25 = 5 long-answer questions. His marks for those were ...
(5)(4) = 20 . . . . Keith's marks for long-answer questions
__
Total Marks
Then the total number of marks for all answers on the quiz is ...
short marks + long marks = 70 +60 = 130 . . . available marks
And Keith's overall score was ...
(Keith's short marks + Keith's long marks)/(available marks)
= (50 +20)/130 = 70/130 . . . . Keith's score ratio for the quiz
help me with this math question
Answers
Answer:3
Step-by-step explanation:
Just count from -1 to positive 2 the dot doesn’t move
How far apart are -14 1/2 and 2 on the number line
Answers
Daniel expanded the expression as shown.
What errors did he make? Select three options.
Answers
Answer:
Below.
Step-by-step explanation:
The second term should be positive.
The last term should be -1 1/2 not -1 1/4.
He did not correctly multiply -8 and -2.
Answer:
b,c,d
Step-by-step explanation:
(.*_*)hope this helps(- _-.)
Consecutive numbers are whole numbers that follow in order such as 7, 8, 9, 10, and so forth. Suppose the average of 15 consecutive numbers is 15. What is the average of the first five numbers of the set?
Answers
Answer:
10
Step-by-step explanation:
First, we need to find the sum of the 15 consecutive numbers. The formula to finding the average of a set of numbers is the sum of the terms divided by the number of terms. So to find the sum, you do 15x15 because the average is 15 and there are 15 numbers. 15x15=225, so you know the sum of the consecutive numbers is 225. Let X be equal to the first consecutive number of the 15 consecutive numbers.
X+(X+1)+(X+2)+(X+3)....+(X+14)=225
=15X+(105)=225
=15X=225-105
=15X=120
=X=8
So the first consecutive number of the 15 is 8. Therefore, the second consecutive number is 9, the third is 10, and so on. The question asks for the average of the first five numbers, which is 8, 9, 10, 11, and 12.
The summation formula is [tex]S=(\alpha_{1}+\alpha_{n})\frac{n}{2\\}[/tex].
[tex]S=(\alpha_{1}+\alpha_{n})\frac{n}{2\\}\\ S=(8+12)\frac{5}{2}\\ S=(20)2.5\\ S=50[/tex]
So the sum of the first five consecutive numbers is 50. Since there are 5 numbers, you do 50÷5=10. Therefore, the answer is 10.
A student survey was conducted at a major university. Data were collected from a random sample of 206 undergraduate students, and the information that was collected included physical characteristics (such as height and handedness), study habits, academic performance and attitudes, and social behaviors. In this exercise we will focus on exploring relationships between some of those variables. The variables are:
Answers
Answer:
Students Major
Cheat reporting response
Number of Alcohols taken
Student's Height
Step-by-step explanation:
The Variables are the following:
Categorical variables
1. Major – The student's majors -
Arts & Social Science or STEM
2. Cheat - Response about reporting cheating - Yes or No
Quantitative Variables
3. Alcohol - Number of alcoholic beverages consumed in a typical week
4. Height - Self-reported height (in inches)
Which of the following will simplify to the
correct solutions of y = 2x2 + 5x - 7?
-5+ 25 - 56 525-56
A
с
4
4
-5 + 25 +56 5+25+ 56
B
D
4
4
Answers
Answer:
f the answer to the question is A
Answer:b
Step-by-step explanation:
A reporter announces that there is an 80% chance of a thunderstorm tomorrow, and if the thunderstorm materializes, there is a 14% chance that it will produce a tornado.What is the probability that there will be a tornado tomorrow? What is the probability that there is a storm, but does not produce a tornado?
Answers
Answer & Step-by-step explanation:
We will only get a tornado if there is already a thunderstorm materializing
0.80 * 0.14 = 0.112
Probability of a tornado = 11.2%
There is a 100 - 14 = 86% chance of a tornado not being produced.
0.80 * 0.86 = 0.688
Probability of a storm and no tornado = 68.8%
You need to design a rectangle with a perimeter of 11 cm. The length must be 2.8 cm. What is the width of the rectangle? (You might want to draw a picture.)
a) Let w = the width of the rectangle. Write the equation you would use to solve this problem.
Answers
Step-by-step explanation:
p = 2×( l+w)
p = 2×l + 2×w
=> 2×w = p - 2×l
w = (p - 2×l) / 2
w = (11 - (2×2.8))/2
= (11- 5.6)/2
= 5.4 /2
= 2.7 cm
Please i need the correct answer, no funny business.
Answers
Answer:
Age of the spear head = 6349 years.
Step-by-step explanation:
Expression to be used to calculate the age of the spear head,
[tex]N_t=N_0e^{-kt}[/tex]
Here, [tex]N_t[/tex] = Final amount of C-14
[tex]N_0[/tex] = Initial amount
[tex]k[/tex] = 0.0001
[tex]t[/tex] = Time in years
If [tex]N_t[/tex] = 53% of [tex]N_0[/tex] = [tex]N_0\times (0.53)[/tex]
[tex]0.53N_0=N_0e^{-0.0001\times t}[/tex]
[tex]0.53=e^{-0.0001t}[/tex]
[tex]\text{ln}(0.53)=\text{ln}(e^{-0.0001t})[/tex]
[tex]-0.634878=(-0.0001)t[/tex]
[tex]t=6348.78[/tex] years
[tex]t[/tex] ≈ [tex]6349[/tex] years
Therefore, age of the spear head = 6349 years.
please help she wont go to the next aswer
Answers
Answer:
$9.04 /gal
Step-by-step explanation:
1 gallon = 128 oz
8 * 4.23 oz = 33.84 oz
$2.39 /33.84 oz = .0707 $/oz
.0707 $/oz * 128 = $9.04 $/gal
Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −34?
Parallel Perpendicular Neither
Line M, with slope3/4 Line N, with slope 4/3 Line P, with slope -4/3 Line Q, with slope -3/4
Answers
Given:
The slope of a line is [tex]-\dfrac{3}{4}[/tex].
To find:
The lines in the options are parallel, perpendicular or neither parallel nor perpendicular to the given line.
Solution:
We know that the slopes of parallel lines are equal.
The slope of line Q and the slope of given line are same, i.e., [tex]-\dfrac{3}{4}[/tex]. So, the line Q is parallel to the given line.
The slope of a perpendicular line is the opposite reciprocal of the slope of the line because the product of slopes of two perpendicular lines is -1.
The slope of a line is [tex]-\dfrac{3}{4}[/tex]. It means the slope of the perpendicular line must be [tex]\dfrac{4}{3}[/tex]. So, the line N is perpendicular to the given line.
The slopes of line M and P are neither equal to the slope of the given line nor opposite reciprocal of the slope of the line.
Therefore, the lines M and P are neither parallel nor perpendicular.
Please help!!!!!!!!!!!!!!
Answers
Answer:
choice A is the answer
Step-by-step explanation:
[tex]5 + 2.75s \leqslant 21 \\ 2.75s \leqslant 21 - 5 \\ s \leqslant 16 \div 2.75 \\ s \leqslant 5.82[/tex]
but since we only can have a whole number in the number of stops, she can only travel 5 stops with the money she has.
match the absolute value functions with their vertices
Answers
Vertex: (5, 2/3) - > f(x) = 3/5 |x - 5| + 2/3
Vertex: (-1, -3/7) - > f(x) = 1/2 |x + 1| - 3/7
Vertex: (0, -4/5) - > f(x) = 1/2 |x| - 4/5
Vertex: (2/5, 5/3) - > f(x) = 3/2 |x - 2/5| + 5/3
Step-by-step explanation:
I need to know the transformation of the shape
Answers
Answer:
is there anything underneath it? it says which of the following
Step-by-step explanation:
factor x^2-3x-28 using the x method
Answers
Answer:
[tex] {x}^{2} - 7x + 4x - 28 \\ = x(x - 7) + 4(x - 7) \\ = (x - 7)(x + 4)[/tex]
geometry!!!!!! helppp select the ones that are true!
Answers
Answer:
Through any three collinear points, there is exactly one plane.False [ i.e. non collinear points]
A segment is part of a line between two points on the line called the endpoints.False[I.e. mid point]
If there is a line and a point not on the line, then there exists exactly one line through the point
that is parallel to the given line.True
The midpoint of a segment is equidistant from the endpoints.True
If two angles are supplementary to the same angle, then the angles must be obtuse.True
If two angles form a linear pair, then the angles are complementary.False [I.e. supplementary]
solve for x,ty!
No links
Answers
Answer:
Step-by-step explanation:
[tex]\frac{-3x}{2}[/tex] = 5
multiply both sides by 2
2 ( [tex]\frac{-3x}{2}[/tex] = 5 )
-3x = 10
divide both sides by [tex]\frac{-1}{3}[/tex]
[tex]\frac{-1}{3}[/tex] ( -3x = 10 )
x = [tex]\frac{-10}{3}[/tex]
got it?
Answer:
x = -10/3
Step-by-step explanation:
2(-3x/2) = (5)2
-3x = 10
----- ---
-3 -3
x = -10/3
What’s the answer? I don’t understand the question and I came to see if you all can help
Answers
Answer:
15/2 that is the answer man
Need help please !!!!!!!
Answers
Answer:
go to scan an solve on brainly and it should bring up the answer, your welcome
Step-by-step explanation:
here is the answer to your question
Will Mark brainlest !please help. (The probabilty of germenating a new flower seed is found to be 0.92,if you sow a packet of 500 seeds in the field ,how many seeds will you expect to be germinated)
Answers
Answer: 0. 92 = 92%
100% = 500
92% = 500 × 92/100 = 460
Step-by-step explanation:
At a gas station during a road trip, Gerard has $32.00 to spend on fuel and windshield washer fluid for his car. Fuel costs $2.75 per gallon, and each bottle of windshield washer fluid costs $3.00. The car's average fuel efficiency is 38 miles per gallon. If Gerard must fill his car with enough fuel to drive 250 miles, what is the maximum number of bottles of windshield washer fluid Gerard can buy? (Note: all prices include taxes.)
Answers
Answer:
Step-by-step explanation:
Total amount with Gerald = $32
Cost of fuel per gallon = $2.75
Cost of each bottle of windshield = $3
38 miles per gallon. If Gerard must fill his car with enough fuel to drive 250 miles,
Total gallons of fuel = 250 miles / 38 miles
= 6.5789473684210 gallons
Total cost of fuel = Total gallons of fuel × cost per gallon
= 6.5789473684210 × $2.75
= $18.1
Amount left for windshield = Total amount with Gerald - Total cost of fuel
= $32 - $18.1
= $13.9
what is the maximum number of bottles of windshield washer fluid Gerard can buy?
= Amount left for windshield / Cost of each bottle of windshield
= $13.9 / $3
= 4.6333333333333 bottles
Maximum number of bottles =
4 bottles
in 1990 sausage cost an average of $2.42 per pound. In 1994 it cost 51.35 per pound. What was the percent of depreciation (percent of decrease)?
*(show your work)*
Answers
Answer:
Cumulative price change 105.96%
Average inflation rate 2.36%
Converted amount ($100 base) $205.96
Price difference ($100 base) $105.96
CPI in 1990 130.700
Step-by-step explanation:
When a coin and die are tossed together find the probability of getting:
a)coin with head and die with prime number
b)coin with head and die with composite number
c)coin with tail and die with even prime number
Answers
Answer:
a) 1/4
b) 1/6
c) 1/12
Step-by-step explanation:
Let S be the sample space.
S={H1,H2,H3,H4,H5,H6,T1,T2,T3,T4,T5,T6}
n(s) =12
Events
A: coin with head and die with prime number .
B:coin with head and die with composite number.
C:coin with tail and die with even prime number.
a) A={H2,H3,H5}
n(A) = 3
P(A) =n(A)/n(S)
=3/12
= 1/4
b) B={H4,H6}
n(B)= 2
P(B) = n(B)/n(S)
= 2/12
= 1/6
c) C ={T2}
n(C) = 1
P(C) = n(C)/n(S)
= 1/12
