the area of a baseball field bounded by home plate, first base, second base, and third base, and third base is a square. If a player at first base throws the ball to a player at third base, what is the distance the player has to throw?
Answers
it's C, [tex]\sqrt{16,200}[/tex]
Final answer:
The distance a player has to throw the ball from first base to third base is the length of the diagonal of the square field. Using the Pythagorean theorem, this distance is found to be approximately 127.28 feet.
Explanation:
If the baseball field is a square, then when a player throws the ball from first base to third base, the player is throwing the ball along the diagonal of the square. To calculate the distance of the throw, which is the length of the diagonal, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).
Since the bases form a square, both sides a and b are equal in length.
The formula we use is c = √(a² + b²), where 'c' would be the diagonal distance. If we assume the side of the square (the distance from home plate to first base, or from first base to second base, and so forth) is 90 feet, which is a standard distance in a baseball diamond, then we can plug 90 feet in for both 'a' and 'b' to calculate the diagonal:
c = √(90² + 90²)
= √(8100 + 8100)
= √(16200)
= 127.28 feet (approximately).
Therefore, the distance the player has to throw from first base to third base is about 127.28 feet.
Related Questions
A rectangle has vertices at these coordinates.
(1, 7), (1, 3), (9, 3)
What are the coordinates of the fourth vertex of the rectangle?
Enter the coordinates in the boxes.
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Hope I could help!
~Marshy
MATH HELPLEASE. WILL GIVE BRAINLIEST!
What is the measure of AC ?
Enter your answer in the box.
Answers
estimate the value of this expression by rounding each number to the nearest
whole unit. (1.94)(7.51)(3.74)
A. 21
B. 42
C. 56
D.64
Answers
First, we need to round each number to the nearest whole unit:
1.94 ≈ 2
7.51 ≈ 8
3.74 ≈ 4
Now, we multiply:
2 * 8 * 4 = 64
So, our answer is D.
Hope this helps!
State a true conclusion.
1) If it is June, then it is summer.
2) It is summer.
Conclusion:
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In the conditional logic given, 'If it is June, then it is summer' and 'It is summer', we can infer the conclusion 'It can be June'. However, it is important to note this is a potential conclusion and not a definite one since other months exist in the summer. This kind of conclusion is an example of the converse fallacy, or affirming the consequent.
Explanation:The question provided presents a logical statement in the form of a conditional statement. In logical reasoning and mathematics, a conditional statement is a statement of the form 'if P then Q', where P and Q are both statements. Here, the statement 'If it is June, then it is summer' is the given condition. The statement 'It is summer' is the second statement. A conclusion can be drawn using both of these statements. According to the rules of the logic, we can conclude that 'It can be June.' Remember, we cannot definitively say it 'is' June because there could be other months during the summer. This type of conclusion comes under the inference rule known as the 'converse fallacy' or 'affirming the consequent', where if the consequent (Q - the 'then' clause) is true, the antecedent (P - the 'if' clause) might also be true, but it could also possibly be false due to other factors.
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plz help rohanfighter, ur the smartest
Answers
Hole this helped!
Please mark me as brainlyiest if correct!
let us just say that it is 3000 miles
It is 12 inches from NYC to LA by the string and map
divide 3000 and 12 together
3000/12 = 250
250 miles is your answer
hope this helps
what is negative 3 times negative one half
Answers
hope this helps
It takes 24 cups of chicken broth to make chicken soup recipe. How much is this in quarts?
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An old road was 3.95 miles long. After a renovation it was 3.81 times as long. How long was the road after the renovation?
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The road was 15.0485 miles long after the renovation.
Hope this helps!
HEEEEEEEEEEEEEEEEEEEEEEEELPPPPPPPPPPPPPP
Answers
slope = -9/2
Explanation:
The form of the slope-intercept equation is:
y = mx + c
where:
m is the slope
c is the y-intercept
The given is:
y = -9/2 x
Comparing the given with the general form, we will find that:
m is the slope = -9/2
c is the y-intercept = 0
Hope this helps :)
y = -9/2
Hope this help you
I need help figuring out when to use law of sine or law of cosine?
These are some examples of problems.
Please Help!
Answers
when you have two sides and angle between them, this is law of cos, problem 6,8
problem 7 you can use both, but if you can use both better to use law of sin, it is just easier
Final answer:
Use the law of sines when you have two angles and one side, or two sides and a non-inclusive angle. Use the law of cosines when you have two sides and the included angle or all three sides. Apply trigonometric identities for vector addition and resolving forces.
Explanation:
Deciding when to use the law of sines or the law of cosines depends on the information given in a triangle problem. The law of sines is most useful when you know either two angles and one side (AAS or ASA) or two sides and a non-enclosed angle (SSA). The law states that the ratio of the length of a side to the sine of its opposing angle is consistent for all sides and angles in a triangle, often written as a/sin A = b/sin B = c/sin C.
The law of cosines is handy when you have either two sides and the included angle (SAS) or when you have all three sides (SSS). This law relates the lengths of the sides of a triangle to the cosine of one of its angles, following the formula c² = a² + b² - 2ab cos C.
For vector addition problems or when decomposing forces into components, trigonometric identities involving sine and cosine are employed. If you're resolving a weight into components, you may use sine to find the component opposite the angle and cosine for the component adjacent to the angle.
△ABC has interior angles with measures x°, 100°, and 70°, and △DEF has interior angles with measures y°, 70°, and 50°.
Using the given information, which statement is true?
The two triangles are not similar because y=60 so it is impossible to have three congruent angles.
The two triangles are not similar because the interior angles are congruent but the side lengths are different.
The two triangles are not similar because x≠y .
The triangles are similar because they each have an interior angle with a measure 70°.
Answers
We know that the triangles are not similar. If they were, they would have the same angles. The interior angles are not congruent. We can rule out choice "B" and "C".
Just because they have one equal angle does not make them similar. We can rule out "D".
"A" is the best answer.
I hope this helps!
~kaikers
The two triangles are not similar because y=60 so it is impossible to have three congruent angles.
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.
Given that;
In △ABC has interior angles with measures x°, 100°, and 70°,
And, △DEF has interior angles with measures y°, 70°, and 50°.
Hence, Measure of x is,
x + 100 + 70 = 180
x + 170 = 180
x = 180 - 170
x = 10
And, Measure of y is,
y + 70 + 50 = 180
y + 120 = 180
y = 180 - 120
y = 60
Thus, The two triangles are not similar because y=60 so it is impossible to have three congruent angles.
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help me please i dont know the ans
Answers
y = x - 80
Explanation:
The equation of line in slope-intercept form has the following formula:
y = mx + c
where:
m is the slope
c is the y-intercept
1- getting the slope:
To get the slope, we will need two points from the graph. I will choose the two (0,-80) and (60,-20)
slope = (y2-y1) / (x2-x1) = (-20--80) / (60-0) = 1
The equation now is:
y = 1x + c
y = x + c
2- getting the y-intercept:
To get the y-intercept, we will choose a point from the graph, substitute with this point in the equation and solve for c.
I will choose point (0,-80)
y = x + c
-80 = 0 + c
c = -80
Based on the above, the equation of the line is:
y = x - 80
Hope this helps :)
Yesterday it rained 5/8 inch. Today it rained 1/8 inch. What is the total amount of rain for the two days?
Answers
The total amount of rain for the two days is 2/3 inch.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Yesterday it rained 5/8 inch.
and, Today it rained 1/8 inch.
So, in two days the amount of rain fall
= 5/8+ 1/8
= 6/8
= 2/3
Hence, total amount of rain is 2/3 inch.
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Is the answer b? I'm not sure.
Answers
If a polynomial has one root in the form a - √b, it has the second root on the form of a _√b?
Answers
Polynomials with rational real coefficients have irrational or complex roots in conjugate pairs. A root with a positive irrational or imaginary part will be matched by a root with a negative irrational or imaginary part.
The second root will be a + √b the missing sign is positive because the roots are always in the pair.
What is polynomial?Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
The quadratic formula:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
Here the roots are in pairs:
One root is a - √b
The second root will be a + √b
Thus, the second root will be a + √b the missing sign is positive because the roots are always in the pair.
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A band wants to create a CD of their last concert. To create the CD’s, the cost will be $350 advertisement fee plus $3 per CD. Write an inequality that represents how many CD’s they can buy with maximum of $1225. Solve the inequality
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Then you know there will be a minimum of 350 dollars if they use it, followed by how many CDs they want times their cost (3 dollars)
The final equation would be 1225 > 3X + 350
Your cell phone company charges $40 per month for one phone, plus an additional $5 per moth for each extra phone. Write an expression to represent the cost of a plan with x phones.
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Is my math answer correct or no?
Answers
Hope this helps!
isaac played a video game 20 times and wont about 70% of the games. how many games did he win
Answers
So I would say 14 of his games
We know that Isaac played 20 games and won about 70% of them. Now, we must find what 70% of 20 is, so that we know how many games Isaac won.
First, convert the percentage to a decimal by dividing it by 100.
70% ÷ 100 = 0.70
Next, multiply the total amount of games Isaac played (20) by about how many he won (0.70):
20 × 0.70 = 14
ANSWER:
Isaac won about 14 games.
what is the slope of the line?
A. 0
B. 6
C. 9
D. undefined
Answers
Answer:
Option A 0
Step-by-step explanation:
we know that
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
we have
[tex]A(2,9)\ B(4,9)[/tex]
Substitute the values
[tex]m=\frac{9-9}{4-2}[/tex]
[tex]m=\frac{0}{2}=0[/tex]
Which of the following represents the most accurate estimation of 388 - 212?
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I need help with 3 math questions. Here they are: A study of 50 high school students showed that exactly 25 of them took Biology, exactly 20 of them took Chemistry, and exactly 12 of them took both subjects. How many of the 50 students took neither Biology nor Chemistry? From a pile of coins containing nickels (N), dimes (D), and quarters (Q), Tom picked 10 coins with a total value of $1.00. The 10 coins had a different number of each of the three types and at least 1 coin of each type. How many coins of each type did he pick? An Olympiad team is made up of students from the 4th, 5th, and 6th grades only. Seven students are 5th graders, eleven students are 6th graders, and one third of the entire team are 4th graders. How many students are on the team? If you can even answer one question that would be very helpful! Thanks a lot!
Answers
Now we have 8 taking only chemistry, 13 taking only biology, and 12 taking both. Add all those together to get 33.
Subtract 33 from 50 to get 17, which is the number of students taking neither.
2. He had 3 nickels, 1 quarter, and 6 dimes.
This is an equation that represented his coins:
3n + 1q + 6d = 1.00
3 x .5 = .15 1 x .25 = .25 6 x .10 = .60 .60 + .25 = .85 .85 + .15 = 1.00
3. Add together 7 and 11 to get the 5th and 6th graders: 18 students.
The remaining 4th graders make up 1/3 of the team, so 18 is 2/3 of the team.
Find 1/3 by dividing 18 by 2 to get 9.
There are 9 4th graders.
Hope this helps!
Mr. Anderson's 5th grade class is getting a class pet. 7 students voted to get a gerbil three voted for fish six voted for a mouse and 4 vote for a lizard. What is the model of the data? What does it mean for this situation?
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I would rather to help 6th and 7th grade math
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List from least to greatest. 0, |−14|, 13, −12, |−16|, 17
A. |−16|, |−14|, 13, −12, 0, 17
B. −12, 0, 13,|−14|,|−16|, 17
C. −12, |−14|, |−16|, 0, 13, 17
D. 0, −12, 13, |−14|, |−16|, 17
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Margaret has been told to draw up plans for a 48 square foot flower bed. How many different size flower beds (using whole foot dimensions) can Margaret draw?
A 48
B 24
C 12
D 5
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2. 2x24
3. 3x16
4. 4x12
5. 6x8
D Margaret can draw 5 possible dimensions
Lexie needs to buy 105 vases for a party each package has 6 vases how many packages should lexi buy
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PLEASSSEE HELPP WITH THIS MATH!!!
Answers
1) rt(64) is a rational number, because it breaks down into 8 x 8 , which can be moved outside the root (if there is a pair of numbers, it is moved out of the root and considered a whole number)
2) rt(84) is considered a irrational number, because it equals 9.16515138991...
3) B and D, for rt(25) = 5, and 1.15 have an end to the number, and does not continue forever
hope this helps
"Our customer retention rate has decreased 10% from last quarter's goal of 250 consumers retained. We need to increase our current rate by at least 16% to meet this quarter's goal."
Employee: "That means our target is __________ consumers retained."
Answers
2. Then subtract 25 from 250 (250 -25= 225)
2. Then multiply 225 by 16% (225 * .16 = 36)
3. Add 225 + 36 = 261.
4. 261 is your final answer
Using proportions, it is found that the correct sentence is:
"That means our target is 261 consumers retained."Decreased 10% from last quarter's goal of 250 consumers retained, hence, the number of customers is:
[tex]0.9(250) = 225[/tex]
The current rate has to be increased by 16%, hence, the goal is:
[tex]1.16(225) = 261[/tex]
Hence, the sentence is:
"That means our target is 261 consumers retained."
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A factory worker packs 32 mugs into the bottom layer of a box for shipping. If each box can hold 6 layers of mugs, how many mugs can be packed into each box?
Answers
x 6 x6
--------------------------
192 mugs per 6 layers.