Use the diagram below to answer the following questions.
The infield of a baseball field is a square. The distance from home plate to first base is 90 ft.
2nd
8a. What is the distance from home plate to second base?
pitchers mound
3rd
1st
90 ft
8b. What is the distance from third base to first base?
Home
8c. If the pitcher's mound is 60 ft 6 in from home plate, is it the midpoint of the diagonal from home
plate to second base?
Answers
Answer:
Step-by-step explanation:
Distance from home plate to second base = 90√2 feet
Distance from third base to first base = 90√2 feet
60 ft 6 in = 60.5 ft
90√2 /2 = 45√2 ≅ 63.6 ft ≠ 60.5 ft
The pitcher's mound is not at the midpoint.
Related Questions
The citizens of a city were asked to choose their favorite type of pet. The circle graph shows how the citizens answered. If 95000 citizens answered the question, how many chose Cat?
Answers
Answer:
21% chose cats
Step-by-step explanation:
On a certain hot summer day, 738 people used the public swimming pool.The daily prices are 1.50 for children and 2.00 for adults.The receipts for admission totaled 1306.00 .How many children and how many adults swam at the public pool that day?
Answers
Answer:
A = 340 adult.
C = 398 children.
Step-by-step explanation:
Let the number of children be C
Let the number of adults be A
Translating the word problem into an algebraic equation, we have;
A + C = 738 .......equation 1
1.5C + 2C = 1306 .......equation 2
A = 738 - C .......equation 3
Substituting eqn 3 into eqn 2, we have;
1.5(738 - C) + 2C = 1306
1107 - 1.5C + 2C = 1306
1306 - 1107 = 2C - 1.5C
199 = 0.5C
C = 199/0.5
C = 398 children.
Now, to find the value of A.
From equation 3;
A = 738 - C
A = 738 - 398
A = 340 adult.
mary ann is building a fence around the outer edge of a rectangular garden plot that measures 25 feet by 45 feet. She will set post 5 feet apart. How many post will she need?
Answers
Answer:
28
Step-by-step explanation:
find perimeter (25 + 25 + 45 + 45 = 140)
divide your perimeter by 5 (140 ÷ 5 = 28)
therefore you need 28 fence posts
3a+2b-8a+b
What is the answer
Answers
2b + b = 3b
-5a + 3b
Step-by-step explanation:
3a+2b+8a-bCombine like terms Like tems are 3a and -8a3 a - 8 a = -5a-5a +2b+ bcombine like terms2b +b = 3btherefore the answer is -5a + 3bHope it helpfulcan someone help me find the value of x
Answers
Answer:
x=52
Step-by-step explanation:
A triangle 3 interior angles add up to 180 so the third angle is 52. Since the two lines are parallel and have a transversal angle x and 52 are alternate interior angles so x=52
f(x)=2x+1
g(x)=x-5
calculate f(g(x))
Answers
Answer:
2x-9
Step-by-step explanation:
substitute g into f
2(x-5)+1
2x-10+1
2x-9
A set of 6 number cards contains the numbers 2,5,7,8,9, and 11. Which ratio of odd number cards to total cards in the set?
Answers
evaluate the given expression for x = -11
-3x-5
Answers
Answer:
28
Step-by-step explanation:
-3(-11)-5
33-5
28
solve if x=11. x+44/2x
Answers
Answer:
substitute 11 into the equation:
[tex]\frac{11+44}{2(11)}[/tex] = [tex]\frac{55}{22}[/tex] or 2.5
Answer:
253
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightStep-by-step explanation:
Step 1: Define
x + 44/2x
x = 11
Step 2: Evaluate
Substitute in x: 11 + 44/2(11)[BPEMDAS] Divide: 11 + 22(11)[BPEMDAS] Multiply: 11 + 242[BPEMDAS] Add: 253Does the following table represent an exponential decay or growth function?
Answers
Answer:
It shows the growth function I think because the are increasing
Step-by-step explanation:
It is not a exatly
A triangle has the length of 8.3 and a height of 6.4. What is the area?
Answers
Answer:
Formula Bh x 1/2, so 26.56 is your answer
Multiply 8.3 x 6.4 to get 53.12 then divide it by 2 which is 26.56
Answer:
26.56
Step-by-step explanation:
show the working pls :))
Answers
Answer:
$ 78.68
Step-by-step explanation:
The following data were obtained from the question:
Pay >>>>>>>>>> Frequency
40 – 59 >>>>>> 15
60 – 79 >>>>>> 58
80 – 99 >>>>>> 27
100 – 119 >>>>> 22
Mean pay =?
Next, we shall determine the class pay. This can be obtained by adding the pay together and dividing by 2 as shown below:
L => is the lower pay interval
U => is the upper pay interval
Pay >>>>>>>>>> Class pay [(L+U)/2)]
40 – 59 >>>>>> 49.5
60 – 79 >>>>>> 69.5
80 – 99 >>>>>> 89.5
100 – 119 >>>>> 109.5
Thus, the table becomes
Pay >>>>>> Class pay >> Frequency
40 – 59 >> 49.5 >>>>>>> 15
60 – 79 >> 69.5 >>>>>>> 58
80 – 99 >> 89.5 >>>>>>> 27
100 – 119 > 109.5 >>>>>> 22
The mean pay can be obtained as follow:
Summation of class pay and frequency (ΣCF) = (49.5×15) + (69.5×58) + (89.5×27) + (109.5×22)
= 742.5 + 4031 + 2416.5 + 2409
= 9599
Summation of frequency (ΣF) = 15 + 58 + 27 + 22
= 122
Mean pay = ΣCF / ΣF
ΣCF = 9599
ΣF = 122
Mean pay = 9599 / 122
Mean pay = $ 78.68
Therefore, the mean pay is $ 78.68
PLS I NEED HELP! If y varies direct to x and y = 12 and x = 3, then what does x equal when y is 80?
Answers
Answer:
20
Step-by-step explanation:
12 divided by 3 = 4
therefore 80 divided 4 is 20
Answer:
x=10
Step-by-step explanation:
Disposable income is the amount available for spending and saving after taxes have been paid and is one gauge for the state of the economy. Using U.S. Energy Administration data for selected years from 2010 and projected to 2040, the total U.S. disposable income, in billions, can be modeled by D(t) = 10,020e0.02292t where t is the number of years past 2010. In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?
Answers
Answer:
The disposable income predicted to be $17 trillion in 2033.
Step-by-step explanation:
The disposable income, in billions, in t years after 2010 is given by the following function>
[tex]D(t) = 10020e^{0.02292t}[/tex]
In what year is disposable income predicted to be $17 trillion (that is, $17,000 billion)?
This is t for which [tex]D(t) = 17000[/tex]. So
[tex]D(t) = 10020e^{0.02292t}[/tex]
[tex]17000 = 10020e^{0.02292t}[/tex]
[tex]e^{0.02292t} = \frac{17000}{10020}[/tex]
[tex]\ln{e^{0.02292t}} = \ln{\frac{17000}{10020}}[/tex]
[tex]0.02292t = \ln{\frac{17000}{10020}}[/tex]
[tex]t = \frac{\ln{\frac{17000}{10020}}}{0.02292}[/tex]
[tex]t = 23[/tex]
2010 + 23 = 2033
The disposable income predicted to be $17 trillion in 2033.
URGENT URGENT!!!!! PLEASE HELP
Answers
Answer:
2x+3y=T
Step-by-step explanation:
t= total
the total number of points depending on how many 3 points are shot makes up the score.
what is 3/4 fraction as a mixed number
Answers
Answer:
0 3/4
Step-by-step explanation:
Answer:
3/4 is a proper fraction
Step-by-step explanation:
it can not be a mixed number
What is the difference? Complete the equation.
-2 1/4 - (-3/4)
Answers
Answer:
-1.5
Step-by-step explanation:
What is the absolute value of |-2+4|
Answers
Answer:
2
Step-by-step explanation:
The absolute value of a number is its distance from zero, since distance is always positive, the absolute value is always positive.
| -2 + 4 |
Simplify,
|2|
= 2
A population of 42 fruit flies has increased
by 150%. What is the total number of fruit
flies after the increase?
Answers
What is the common ratio of 7, -14, 28, -56
Answers
Answer:
multiplied by -2 I believe
Step-by-step explanation:
Moshde runs a hairstyling business from her house. She charges $45 for a haircut and style. Her monthly expenses are $960. She wants to be able to put at least $1,200 per month into her savings account order to open her own salon. How many “cut & styles” must she do to save at least $1,200 per month?
Answers
Answer:
48 cuts and styles
Step-by-step explanation:
Moshde needs to make 48 haircuts and style per month to save $1,200.
Moshde makes $45 per haircut and yet incurs $960 in expenses every month.
She needs to cut enough hair that she makes the $960 in expenses and then a further $1,200 that she can put in savings.
The formula to find out the number of cuts she needs to make is:
= (Monthly expenses + Desired profit) / Profit per cut
= (960 + 1,200) / 45
= 2,160 / 45
= 48 hair cuts and style
In conclusion, Moshde needs to make 48 haircuts per month.
Find out more at https://brainly.com/question/13400675.
If I have 8 cans of soup and I gave 1/2 to sue and 1/4 to mark how many do I have left
Answers
Answer:
6 1/2 (a.k.a 6.5)
1/4 = 2/2 + 1/2 = 3/2 = 1 1/2
8 - 1 1/2 = 6 1/2
Help I don’t understand a little confusing
Answers
Answer:
40
Step-by-step explanation:
1. 2(l+w)
2. 2(17+3)
3. 2(20)
4. 2*20
If our school has about 300 seventh graders, about how many would be expect to watch 4 to
8 hours of television weekly?
A. 55
B. 116
C. 138
D. 165
Answers
Answer:
55
Step-by-step explanation:
What decimal does the model represent?
The model below is shaded to represent 2
A 25.6
2.056
2.56
0.256
Answers
Answer:
2.56
Step-by-step explanation:
Alejandro was curious if sample median was an unbiased estimator of population median. He placed ping pong balls numbered from 000 to 323232 in a drum and mixed them well. Note that the median of the population is 161616. He then took a random sample of 555 balls and calculated the median of the sample. He replaced the balls and repeated this process for a total of 505050 trials. His results are summarized in the dotplot below, where each dot represents the sample median from a sample of 555 balls. A dot plot for a sample median has a scale from 0 to 30. The number of dots for each is as follows. 0, 0. 1, 0. 2, 0. 3, 0. 4, 1. 5, 1. 6, 2. 7, 1. 8, 0. 9, 1. 10, 5. 11, 3. 12, 2. 13, 4. 14, 1. 15, 3. 16, 4. 17, 4. 18, 1. 19, 2. 20, 4. 21, 2. 22, 0. 23, 1. 24, 2. 25, 1. 26, 1. 27, 0. 28, 2. 29, 2. 30, 0. Based on these results, does sample median appear to be a biased or unbiased estimator of population median
Answers
Answer:
Sample median appears to be an unbiased estimator of the population median
Step-by-step explanation:
The sample median appears to be centered near 16
The required sample median appears to be an unbiased estimator of the population median
What are dot plots?A dot plot defined as a collection of plots or dot diagrams is a simple form of data illustration that consists of data points plotted in the form of dots on a graph with axes.
Here,
He placed ping pong balls numbered from 0 to 32 in a drum and mixed them well.
The median of the population is 16. So the sample median appears to be centered near the 16. He replaced the balls and repeated this process for a total of 50 trials.
When plotting the dot plot of the given system, it is summarised that the sample median appears to be an unbiased estimator of the population median.
Learn more about dot plots here:
https://brainly.com/question/29231735
#SPJ5
PLEASE HELP!! I HAVE 30 MINS
#1) 9a+2-6a
#2) -p^6
#3) 5n^2
#4) -10n^4+9-7n^5+n^6
Answers
Answer & Step-by-step explanation:
#1) 3a+2
#2) Please tell me what you need to find for this one in the comments
#3) Please tell me what you need to find for this one in the comments
#4) n^6−7n^5−10n^4+9
Hope this helps ;)
Solve the Anti derivative.
Answers
Answer:
[tex]\displaystyle \int {\frac{1}{9x^2+4}} \, dx = \frac{1}{6}arctan(\frac{3x}{2}) + C[/tex]
General Formulas and Concepts:
Algebra I
FactoringCalculus
Antiderivatives - integrals/Integration
Integration Constant C
U-Substitution
Integration Property [Multiplied Constant]: [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]
Trig Integration: [tex]\displaystyle \int {\frac{du}{a^2 + u^2}} = \frac{1}{a}arctan(\frac{u}{a}) + C[/tex]
Step-by-step explanation:
Step 1: Define
[tex]\displaystyle \int {\frac{1}{9x^2 + 4}} \, dx[/tex]
Step 2: Integrate Pt. 1
[Integral] Factor fraction denominator: [tex]\displaystyle \int {\frac{1}{9(x^2 + \frac{4}{9})}} \, dx[/tex][Integral] Integration Property - Multiplied Constant: [tex]\displaystyle \frac{1}{9} \int {\frac{1}{x^2 + \frac{4}{9}}} \, dx[/tex]Step 3: Identify Variables
Set up u-substitution for the arctan trig integration.
[tex]\displaystyle u = x \\ a = \frac{2}{3} \\ du = dx[/tex]
Step 4: Integrate Pt. 2
[Integral] Substitute u-du: [tex]\displaystyle \frac{1}{9} \int {\frac{1}{u^2 + (\frac{2}{3})^2} \, du[/tex][Integral] Trig Integration: [tex]\displaystyle \frac{1}{9}[\frac{1}{\frac{2}{3}}arctan(\frac{u}{\frac{2}{3}})] + C[/tex][Integral] Simplify: [tex]\displaystyle \frac{1}{9}[\frac{3}{2}arctan(\frac{3u}{2})] + C[/tex][integral] Multiply: [tex]\displaystyle \frac{1}{6}arctan(\frac{3u}{2}) + C[/tex][Integral] Back-Substitute: [tex]\displaystyle \frac{1}{6}arctan(\frac{3x}{2}) + C[/tex]Topic: AP Calculus AB
Unit: Integrals - Arctrig
Book: College Calculus 10e
A container has 360 gallons ; daniel took 1/3 of water to give to the animals in the ranch; how many gallons of water are left? I NEED IT TO BE EXPLAINED AND I WILL MAKE YOU THE BRAINLIEST
Answers
Answer: 240 gallons
Step-by-step explanation:
From the question, we are informed that the container has 360 gallons and that Daniel took 1/3 of water to give to the animals in the ranch. Therefore, the amount of water that Daniel took will be:
= 1/3 × 360
= 120 gallons
Since we have 360 gallons at the beginning and Daniel has taken 120 gallons, the amount of gallons that'll be left will be:
= 360 - 120
= 240 gallons
PLEASE HELP ME 20 POINTS + BRAINLIEST