Coach Stevens needs to purchase sprinklers to water the baseball field. The standard distance between bases is 90 feet and the infield is a perfect square.
Coach Stevens found one sprinkler that sprays a maximum distance of 50 feet.
If Coach Stevens placed the sprinkler on the pitcher's mound, would the water spray so that the entire infield was watered? Justify your response.
Answers
Answer:
So, if coach Stevens places as sprinkler of maximum distance 50 ft, he won't be able to cover the entire infield.
Step-by-step explanation:
Consider the infield as a polygon ABCDE.
It is given that each side AB, BC, CD, and DA is of length 90ft. It is also given that the infield is a perfect square.
Thus, the area of the square ABCD = 8100 ft.
Now consider the triangle BCD. Because of symmetry, the area of this triangle equals half the area of the square. Again, because of symmetry, the length of the base BD equals twice the length of the height EC.
Thus from to the formula of area of the triangle:
base × height = 4050 base × height = 8100 2(height) × height= 8100 height63.64 ft
Related Questions
The graph of which function passes through (0,4) and has a minimum value at 3pi/2, 3
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Answer: f(x) = sin(x)+4
Step-by-step explanation:
What is the scope of government?
Answers
Sakura speaks 150 words per minute on average in Hungarian and 190 words per minute on average in polish she once gave cooking instructions in polish Sakura spent 5 minutes total giving both instructions and spoke 370 more words in polish than Hungarian
Answers
let h time in minutes speaking Hungarian
p + h = 5 equation 1
190 p - 150 h = 370 equation 2
multiply eq. (1) by 150 (both sides)
15 0p + 150 h = 750
190p -150 h = 370
add the two eqiations we get :
190 p + 150p = 370 + 750
340 p = 1120
p= 1120/ 340 = 3.29
3 minutes speaking Polish and 2 minutes speaking Hungarian.
make sure if the number 370 ?? i think it is wrong , it can be 270 because i get a point in the answer
If you know the density and volume of a substance, how could you find its mass?
Answers
That is your equation----------------^
1. Link took out a $160,000, 10-year term policy at age 45. The premium per $1,000 is $4.18. He will be 55 years old next year when the premium per $1,000 will be $6.47. What is the amount of the increase?
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Romeo and Juliet headed north at 8.a.m by noon Romeo was 80 miles ahead of Juliet what was romeos speed if Juliet's speed was 30 miles per hour? Will give brainlest for help!!!
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A line parallel to a triangle's side splits AB into lengths of x - 7 and x - 3. The other side, AC, is split into lengths of x and x + 12. What is the length of AC?
Answers
Solution:
(x – 7) / (x – 3) = x / (x + 12)
(x – 7) (x + 12) = x (x – 3)
x^2 + 5x – 84 = x^2 -3x
8x = 84
x = 10.5
Thus,
AC = x + x + 12
= 10.5 + 10.5 + 12
= 33 would be the length of AC
33
[tex]\frac{x-7}{x} = \frac{2x-10}{2x+12}[/tex] → x = [tex]\frac{21}{2}[/tex]
AC = x + x + 12 = [tex]\frac{21}{2} + \frac{21}{2}[/tex] +12 = 33
If it took 2.5 gallons of paint to cover 282 square feet of wall, how much paint is needed to paint an additional 423 square feet
Answers
What is the value of x?
What Theorem of postulate did you apply to determine your answer?
Show your work and explain.
Answers
notice, both angles are lying on a flat-line, surely you'd know what "x" is then.
Two events e and f are __________ if the occurrence of event e in a probability experiment does not affect the probability of event f.
Answers
When we collect the possible outcomes from a probability experiment, this is called an event and it may consist of one or more than one outcomes.
Two events are independent if the occurrence of one event does not affect the probability of the other event.
Explanation:Two events are independent if the occurrence of one event does not affect the probability of the other event. This means that the outcomes of the two events are not related and the probability of one event happening does not change based on whether the other event occurred or not.
For example, if you flip a coin and roll a die, the outcome of the coin flip does not affect the probability of getting a certain number on the die roll. The two events are independent.
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What is the number of x intercepts of the parabola with equation y=6x^2-4x-3?
Answers
The parabola y=6x^2-4x-3 has 2 x-intercepts. This is determined by solving the equation for when y equals zero, using the quadratic formula. Because the discriminant is positive, there are two distinct real solutions, indicating the two x-intercepts.
Explanation:To find the number of x-intercepts of the parabola with equation y=6x^2-4x-3, you need to set y to 0 and solve the equation for x. The solutions for x will be the x-coordinates of the intercepts.
The x-intercept(s) occur where y=0. The quadratic formula, x = [-b ± sqrt(b^2 - 4ac)]/2a is used to find these points.
Substituting the coefficients a=6, b=-4, and c=-3 into the formula, we get:
x = [4 ± sqrt((-4)^2 - 4*6*(-3))]/(2*6)
This simplifies to x = [4 ± sqrt(16+72)]/12 = [4 ± sqrt(88)]/12
Since the value under the square root (the discriminant) is positive, we have two distinct real solutions for x. This means that the parabola crosses the x-axis at two points, so there are 2 x-intercepts.
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Term insurance covers the insured for the stated term of the policy.
True
False
Answers
Answer:
it's true
Step-by-step explanation:
George traveled 300 miles in 8 hours. How far could he travel in 4 hours if he traveled at the same rate?
Answers
300/8= 37.5
He travels 37.5 miles per hour
If he travels 37.5 miles per hour, to find the amount in 4 hours we would do 37.5 times 4
37.5×4=150
In 4 hours he travels 150 miles
If w||v, solve for x.
Answers
5x+42=8x-15
5x+57=8x
57=3x
x=19
A trainer gives his horse, Caballo, 7 gallons of water every day from a 57 - gallon container. How many days will Caballo receive his full portion of water from the container? On which number day will the trainer need to refill the container of water?
Answers
A bag contains 4 red marbles, 5 yellow marbles, and 6 blue marbles. three marbles are to be picked out randomly (without replacement). what is the probability that exactly two of them have the same color
Answers
Is it true that a continuous function that is never zero on an interval never changes sign on that interval? give reasons for your answer?
Answers
Yes, It is true that a continuous function that is never zero on an interval never changes its sign on that interval.
What is a continuous function?In mathematics, a continuous function is a function such that a continuous variation of the argument causes a continuous variation of the value of the function. This indicates that there aren't any discontinuities or sudden changes in value.
Unchanged sign is a property of continuous functions that are never zero on an interval, hence this is true. This is due to the perennially significant Intermediate value theorem.
Therefore, It is true that a continuous function that is never zero on an interval never changes its sign on that interval.
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100 pts LZ HLP(d) Mrs. Carothers suggested contacting a travel agent to see whether they could get a lower price. The agent found a price that was 30% lower than $2075. What was the price the travel agent found? Explain and Show your work. (Hint: there is more than one step to this problem!)
Answers
2075 - 622.5 = 1452.5
$1452.5
Answer:$1452.5
Step-by-step explanation:2075*.3=622.5
2075-622.5=$1452.5 is you answer
if im wrong correct me but have a blessed day
answer by:
(DJ)
What is the solution to 3x+2.4≥3.0
Answers
3x ≥ 0.6
x ≥ 0.6/3
x ≥ 0.2 is your answer
Answer:
A
Step-by-step explanation:
A map shows the distance between the corner of Cactus Road and 1st Street and the corner of 1st Street and Merle Road as 3 inches. If the scale is 1 in. : 3.7 mi, what is the actual distance? A. 1.3 mi B. 22.2 mi C. 11.1 mi D. 111 mi
Answers
3(1)in : 3(3.7)mi
3in : 11.1mi
Answer: C
y=1/4x+1 Solve for x and show your work
Answers
4y-4=x
would be a step by step solution
Let f(x) = x2 and g(x) = x − 3.
Evaluate (f ∘ g)(−2).
1
25
−7
20 My guess
Answers
Answer:
[tex]25 = f(g(-2))[/tex]
Step-by-step explanation:
[tex]g(-2) = -2 - 3 = -5 \\ \\ f(-5) = {[-5]}^{2} = 25 \\ \\ 25 = f(g(-2))[/tex]
I am joyous to assist you anytime.
I have a math problem
Answers
#1 add 6 to both sides
#2 divide by 4
#3 answer is........12
#2 is $12
#3 is 1.2
Rosa brought d drawings to an art show. After selling 14 of them , she had 34 left . Identify the equation that represents this situation and the correct solution
Answers
Answer:
[tex]d-14=34[/tex] shows that when we add sold drawing we get the total drawings.
Step-by-step explanation:
We have been given that Rosa brought d drawings to an art show.
After selling 14 of them, she had 34 left.
We have to form a equation such that when we add 14 in 34 we get the total of drawings.
[tex]d-14=34[/tex] (1)
Equation (1) shows that when we add sold drawing we get the total drawings.
Answer:
d - 14 = 34; d = 48
Step-by-step explanation:
A new car dealer offered to sell his demonstrator model for 80% of the retail price. If the retail price is $30,863, how much did the customer save?
Answers
$30,863 x 80% = $24,690.40
You'd then subtract the original price and the price of 80% retail
$30,863 - $24690.40 = $6172.80
He saved $6172.80
Answer:
The customer saved $6,167.20
Step-by-step explanation:
Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.
To begin solving this problem we need to change the percent into decimal form. We can do this by moving the decimal point 2 digits to the left like so...
80.0% ⇔ 0.80
Now that we have the percent in decimal form we can find how much the customer paid by multiplying the percent by the retail price.
[tex]30,836 * 0.80 = 24,668.80[/tex]
Now that we have the amount the customer paid, we can subtract that value by the retail price of the model to calculate how much the customer saved.
[tex]30,836-24668.80 = 6,167.20[/tex]
Finally, we can see that the customer saved $6,167.20
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
The perimeter of a rectangle is 66 m. the length is 1 m more than three times the width. find the dimensions of the rectangle.
Answers
L = Length
W = Width
L = 1 + 3W (1m more than 3 times the Width)
W = W
Rectangle has 4 sides
2(1+3W) + 2W = 66
2+6W+2W=66
2+8W=66
8W=64
W=8
Plug 8 in L to find Length side
L = 1+3(8)
L= 1+24
L=25
Check**
2(L) + 2(W) = 66
2(25) + 2(8) = 66
50 + 16 = 66
66 = 66
:D
rewrite d= 2r in function notation
Answers
The equation d = 2r can be rewritten in function notation by replacing 'd' with 'f(r)', giving the function f(r) = 2r.
Explanation:To rewrite the equation d = 2r using function notation, we first need to understand that function notation is a way to represent a function that is derived from a certain equation. Here, the equation given is d = 2r, where d is in terms of r.
To translate this into function notation, we would change d to f(r). The letter f stands for 'function', and the (r) is the variable that the function is dependent upon. Therefore, the equation d = 2r would be rewritten in function notation as f(r) = 2r.
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Ben and Josh are in the same physical education class. Ben weighs twelve more pounds than josh. Together their weights add to 144. How much does each one weigh?
Answers
Using x to represent Josh's weight, the formula is
x + (x + 12) = 144. Combine like terms to make 2x + 12 = 144. Subtract 12 from each side so that 2x = 132. Finally, divide both sides by 2 to get x = 66, which is Josh's weight. Add 12 pounds to find Ben's weight, which is 78 lbs.
132/2= 66
Then u add the 12 for Ben which his weight would be 78
And josh’s would be 66
When two lines intersect to form a 90 degree angle, these lines are called ________ lines?
Answers
Answer:
perpendicular lines.
Step-by-step explanation:
An iron fence reacts with the oxygen in the air to form rust. The formation of rust is an oxidation-reduction reaction and a _____ reaction.
A. decomposition
B.combustion
C. synthesis
D. single-replacement
Answers
The formation of rust on an iron fence is a synthesis reaction, where iron combines with oxygen in the air to create iron oxide. During this process, iron is oxidized and oxygen is reduced, making it an oxidation-reduction (or redox) reaction.
Explanation:The formation of rust is an oxidation-reduction reaction and a synthesis reaction. Rusting occurs when iron reacts with oxygen in the air, typically in the presence of water, to form iron oxide.
The process can be summarized as iron (Fe) being oxidized to iron(II) ions (Fe2+) which react further with oxygen and water to produce a hydrated iron(III) oxide, commonly known as rust (Fe2O3·xH2O).
This process is classified as a synthesis reaction because it involves the combination of simpler substances - iron and oxygen - to form a more complex compound, namely iron oxide.
In comparison to other types of reactions, decomposition refers to a single compound breaking down into two or more simpler compounds or elements.
Combustion reactions involve fuel (often a hydrocarbon) reacting with oxygen to produce carbon dioxide and water.
Lastly, single-replacement reactions occur when an element replaces another element in a compound. Since the reaction of iron with oxygen adds oxygen to create a new product, rather than decomposing, combusting, or substituting, it is indeed a synthesis reaction.