Giselle is building a small baseball infield for her brother. The infield should be in the shape of a square. Each side of the infield,
between bases, measures 30 feet. The distance between home plate and second base, as shown in the picture, is 45 feet.
Which best describes the shape of the baseball field?
Answers
Answer:
Step-by-step explanation:
B
for a square diagonal is found by using pythagoras theorem.
(30)²+30²=900+900=1800≠45²
The best describes the shape of the baseball field would be; B Not square (30)² + 30² ≠45².
What is Pythagoras' Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
Giselle is building a small baseball infield for her brother.
The infield should be in the shape of a square.
Each side of the infield, between bases, measures 30 feet.
The distance between home plate and second base, as shown in the picture, is 45 feet.
A square diagonal can be calculated by using the Pythagoras theorem.
|AC|^2 = |AB|^2 + |BC|^2
= (30)² + 30²
= 900 + 900
= 1800
≠45²
Learn more about Pythagoras' theorem here:
https://brainly.com/question/12105522
#SPJ5
Related Questions
Y^4+5x=21 second derivative
Answers
Answer:
[tex]\displaystyle y'' = \frac{-75}{16y^7}[/tex]
General Formulas and Concepts:
Calculus
Differentiation
DerivativesDerivative NotationDerivative Property [Multiplied Constant]: [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]
Derivative Property [Addition/Subtraction]: [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]
Basic Power Rule:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Chain Rule]: [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]
Implicit Differentiation
Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle y^4 + 5x = 21[/tex]
Step 2: Find 1st Derivative
Differentiate [Basic Power Rule, Chain Rule, Derivative Properties]: [tex]\displaystyle 4y^3y' + 5 = 0[/tex]Isolate y' term: [tex]\displaystyle 4y^3y' = -5[/tex]Isolate y': [tex]\displaystyle y' = \frac{-5}{4y^3}[/tex]Step 3: Find 2nd Derivative
Rewrite: [tex]\displaystyle y' = \frac{-5}{4}y^{-3}[/tex]Differentiation [Basic Power Rule, Chain Rule, Derivative Properties]: [tex]\displaystyle y'' = \frac{15}{4}y^{-4}y'[/tex]Rewrite: [tex]\displaystyle y'' = \frac{15}{4y^4}y'[/tex]Substitute in y': [tex]\displaystyle y'' = \frac{15}{4y^4} \bigg( \frac{-5}{4y^3} \bigg)[/tex]Simplify: [tex]\displaystyle y'' = \frac{-75}{16y^7}[/tex]Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
Thirty one increased by fourteen
Answers
Answer:
Thirty-one increased by fourteen OR
31 + 14 is 45
Step-by-step explanation:
First- Line up the numbers
When you add, you want to line up the numbers. It makes it easier to add up.
[tex]\left\begin{array}{ccc}31\\&+\\14\end{array}\right\\---[/tex]
Second - Add the numbers
You want to do the ones side first
31 = Three tens and one
14 = One ten and four ones
So you do 1+4 first
[tex]1+4=5\\\\\mathrm{To\:check...}\:\\5-1=4\\5-1=4\\\\\mathrm{Fact\:Family!}\:[/tex]
Then you go on the tens side
Like I said before...
31 = Three tens and one
14 = One ten and four ones
So now we add 3+1
[tex]1+3=4\\\\\mathrm{To\:check...}\:\\4-3=1\\4-1=3\\\\\mathrm{Fact\:Family!}\:[/tex]
You add a 0 to the sum of the numbers because it is in the tens place...
So 4 becomes 40!
Finally - Add your sums up!
Now we add our 40 from our tens plus our 5from our ones and get
45!
So thirty-one increased by fourteen is...
45!
Hope this helps you!
Have a wonderful night!
How to divide fractions
Answers
Answer:
Step-by-step explanation:
When dividing fractions, I use a method called Keep Change Flip. Let's use the example 1/2 divided by 3/4 as an example. First, you have to keep the first fraction the same. This is what you currently have: 1/2 / 3/4. Next, you have to change the divison sign into a multiplication symbol. Now, this is what it should look like: 1/2 x 3/4. Then, you have to flip the fraction 3/4 into 4/3. Now, you have 1/2 x 4/3. Multiply the fraction. If you don't know how to, multiply numerator by numerator, denominator by denominator. You should get 4/6. However, this isn't your final answer. You can simplify this by dividing by 2 to get 2/3. So, your answer is 2/3. Hope this helped you and let me know if you need more help! :D
Kent is riding his bicycle. The graph shows the relationship between time in hours and the miles Kent rides. Write an inequality to show the number of hours when Kent has ridden more than 30 miles. Explain your answer.
Answers
The inequality to represent the number of hours when Kent has ridden more than 30 miles is y = 6x for x > 5, where x is the number of hours ridden and y is the distance in miles.
Step-by-step explanation:
Step 1:
First, we need to plot the coordinates of the line on the graph.
We plot the points that fall exactly on an x axis value and also on a y axis value.
There are three such points on the given graph; (5, 30), (10, 60) and (15, 90). These points fall exactly on the values of the x axis and the y axis.
Step 2:
Now, we establish a relationship between the values of x (the number of hours ridden) and y (distance in miles).
Here y is the dependent value and x is the independent value i.e. the value of y values according to the values of x.
In 5 hours, Kent rode 30 miles. In 10 hours, he rode 60 miles and in 15 hours he rode 90 miles.
Step 3;
So for every 5 hours, Kent rides another 30 miles.
So y = 6x for x>5 is the
When x = 10, y = 6 × 10 = 60 miles,
When x = 15, y = 6 × 15 = 90 miles.
An athlete jumped 5.5 feet which was 1.1 times higher than the previous jumper. How high did the previous athlete jump?
Answers
Answer:
5ft
Step-by-step explanation:
1.1j=5.5ft
Divide both sides by 5.5
So: j=5ft. This is the previous jump
look at the picture below
Answers
Answer:
180x cubic feet
Step-by-step explanation:
Multiply 15, 12 and x together.
Answer:
180x
Step-by-step explanation:
you multiply 12 and 15 and x.
A spinner with four equal quadrants labeled A, B, C, and D is spun. What is the theoretical probability of the spinner NOT landing on the letter C?
Answers
Answer:
3/4, 75% chance
Step-by-step explanation:
you have four in total, three of which are not c, so you have a three out of four chance of NOT picking c. 3/4 as a percentage is 75%
Answer:
25%
Step-by-step explanation:
On MobyMax its 25%
Help please!!! Find the sum of the series show your work
Answers
Answer:
[tex]\sum_{i=1}^{12}(3i-1) = 222[/tex]
Step-by-step explanation:
The given series is
[tex]\sum_{i=1}^{12}(3i-1)[/tex]
The first term is
[tex]f(1) = 3 \times 1 - 1 = 2[/tex]
The last term is
[tex]f(12) = 3 \times 12 - 1 = 35[/tex]
To find the number of terms in the sequence, solve,
[tex]3i - 1 = 35[/tex]
[tex]3i = 36 \\ i = 12[/tex]
The sum of the first i-terms of an arithmetic sequence is:
[tex]S_i = \frac{i}{2} (f(1) + f(2))[/tex]
We substitute the values to get;
[tex]S_ {12}= \frac{12}{2} (2+ 35)[/tex]
[tex]S_ {12}=6(37)[/tex]
[tex]S_ {12}= 222[/tex]
10. The length of the hypotenuse of a 30°-60°-90° triangle is 16. What is the perimeter?
64+8 square root 3
24+8 square root 3
16+64 square root 3
8+24 square root 3
Answers
Answer:
24+8 square root 3
Step-by-step explanation:
The ratio is x : x radical 3 : 2x
hypotenuse= 2x= 16
x =8
x square root 3 = 8 square root 3
16+8=24
The sum of three co secutive numbers is 72 what are the smallest of these numbers
Answers
Step-by-step explanation:
The question above is answered below.
Consecutive numbers are set of numbers that follow one another in ascending or descending order, e.g. 1, 2, 3, 4, 5....
The sum of three consecutive numbers = 72
Let the unknown consecutive numbers be represented by x+1, x+2 and x+3 such that:
[tex](x + 1) + (x + 2) + (x + 3) = 72[/tex]
Remove the brackets
[tex]x + 1 + x + 2 + x + 3 = 72[/tex]
Collect like terms and simplify
[tex] x + x + x + 1 + 2 + 3 = 72[/tex]
[tex]3x + 6 = 72[/tex]
Make 3x subject of formula by subtracting 6 from both sides
[tex]3x + 6 - 6 = 72 - 6[/tex]
[tex]3x = 66[/tex]
To obtain the value of x, divide through by the coefficient of x, which is 3. Hence;
[tex] \frac{3x}{3} = \frac{66}{3} [/tex]
[tex]x = 22[/tex]
Since x = 22,
[tex]x + 1 = 22 + 1 = 23[/tex]
[tex]x + 2 = 22 + 2 = 24[/tex]
[tex]x + 3 = 22 + 3 = 25[/tex]
The smallest of these numbers is 23.
Check,
23 + 24 + 25 = 72
The bigger one is 24+1=25
According to the survey described here, what was the sample of the survey? “A recent telephone survey of 900 teenagers aged 16 to 19 from across the state shows 1 out of 4 of them drive themselves to school.”
A. all teenagers aged 16 to 19 in the state
B. 900 teenagers aged 16 to 19 from across the state
C. 1 out of 4 teenagers aged 16 to 19 from across the state
D. teenagers aged 16 to 19 from across the state who own a telephone
Answers
Answer:
Step-by-step explanation:
B is correct. This choice accurately describes the sample.
ssignment
Active
Solving for Angle Measures of Isosceles Triangles
The vertex angle of an isosceles triangle measures 42°. A base angle in the triangle has a measure given by
(2x + 3)" What is the value of x? What is the measure of each base angle?
Each base angle measures
Answers
Part a: The value of x is 33°
Part b: The measure of each base angle is 69°
Explanation:
It is given that the vertex angle of an isosceles triangle measures 42°.
The base angle in the triangle has a measure of [tex](2x+3)^{\circ}[/tex]
Part a: To determine the value of x
Since, in an isosceles triangle the base angles are always equal.
Thus, the three angles in an isosceles triangle add up to 180°
Hence, we have,
[tex]42+2x+3+2x+3=180[/tex]
[tex]42+4x+6=180[/tex]
[tex]4x+48=180[/tex]
[tex]4x=132[/tex]
[tex]x=33^{\circ}[/tex]
Thus, the value of x is 33°
Part b: To find the measure of each base angle.
Base angle = [tex](2 x+3)^{\circ}[/tex]
Substituting [tex]x=33^{\circ}[/tex] , we get,
[tex]Base \ angle = (2(33)+3)^{\circ}[/tex]
[tex]=(66+3)^{\circ}[/tex]
[tex]=69^{\circ}[/tex]
Thus, the measure of each base angle is 69°
Answer:
33 and 69 lol funny number
Step-by-step explanation:
The Pham family bought 6 bags of cookies . Each bag had 13 cookies . They have since eaten 29 of the cookies . How many cookies do they have left ?
Answers
If they had six bags of cookies and each bag has thirteen cookies, then in total they have a total of seventy-eight cookies. If they've eaten twenty-nine cookies, then they now have forty-nine cookies because 78-29=49.
Point O is the center of this circle. What is m∠CAB?
A.
55°
B.
48°
C.
45°
D.
35°
Answers
Answer:
48
Step-by-step explanation:
Answer:
b)48
Step-by-step explanation:
Lateral surface area of a cylinder with a radius of 3 and a height of 8
Answers
The answer will be 150.8
Answer: AL≈150.8
Step-by-step explanation:
AL=2πrh
AL=2π3(8)
AL=2π24
AL=150.8 Rounded up
Replace the ? in each of these statements with the symbol >, <, or =.
a. 39 ? 38
b. 16 ? 16
c. 11 ? 315
d. 5 ? 4
Answers
39>38
16=16
11<315
5>4
Hope this helps you mate
~♥~♪☆＼(^０^＼) ♪(／^-^)／☆♪☆＼(^０^＼) ♪(／^-^)／☆♪＼(*＾▽＾*)／＼(*＾▽＾*)／♪☆＼(^０^＼) ♪(／^-^)／☆♪ ♬ ヾ(´︶`♡)ﾉ ♬ ♪
b. 16 = 16
c. 11 < 315
d. 5 > 4
Write a rule to describe each transformation. (What is the reflection?ex. Reflect with reaparece to x-axis, reflect across y=2, etc.)
Answers
Answer:
Reflect across the line y = x (x, y) -> (y, x)
Step-by-step explanation:
The simplest way is just one step, a reflection across the line y=x. when doing this the rule is (x, y) -> (y, x).
There are a number of ways to do it otherwise, such as a reflection across the x axis then the y axis, or the other way around, or a translaton then reflection. Like I said though, the reflection across y=x is the fastest. Let me know if you have any further questions.
Solve the equation:
x² – 2x² – 15x=0
Answers
Answer: x=0, x²=0
Step-by-step explanation:
Answer:
x=3 and x=5/2
Step-by-step explanation:
There are 162 calories in 3/4 cup of yogurt. How many calories are in 1 cup?
Answers
54 x 4 = 216
There are 216 calories in one cup of yogurt
Final answer:
There are 216 calories in 1 cup of yogurt.
Explanation:
To find out how many calories are in 1 cup of yogurt, we can use the given information that there are 162 calories in 3/4 cup of yogurt. We can set up a proportion to solve for the number of calories in 1 cup:
(3/4 cup) / (162 calories) = (1 cup) / (x calories)
By cross-multiplying, we get:
3/4 * x = 162 * 1
Simplifying the expression:
3x/4 = 162
Multiplying both sides of the equation by 4/3:
x = (162 * 4) / 3 = 216 calories
Therefore, there are 216 calories in 1 cup of yogurt.
What is the volume of the triangular prism? Round to the nearest tenth.
Answers
Answer:
the volume of the triangular prism is 1,185.6 in³
Step-by-step explanation:
To find the volume of these triangular prism, we will, first, find the area of the triangle then multiply by the length
Area of triangle = [tex]\frac{1}{2}[/tex] × b×h
From the diagram ,the height of the triangle is given to be 10.4 in and the base is given to be 12 in.
We will now proceed to insert the values into the formula;
Area of triangle = [tex]\frac{1}{2}[/tex] × b×h
= [tex]\frac{1}{2}[/tex] × 12×10.4
= [tex]\frac{1}{2}[/tex] × 124.8
=62.4
Area of triangle is 62.4 in²
From the diagram is given to be 19 in
Volume of triangular prism = area of triangular prism × l
=62.4 in² × 19 in
=1,185.6 in³
Therefore the volume of the triangular prism is 1,185.6 in³
ƒ(x) = -2x + 3?
(-1, ___)
Answers
The -1 inside the parenthesis is an x value and the blank is a y value.
f(x) = y
Replace x in the equation with -1 to solve for y:
-2(-1) + 3 = 2+ 3 = 5
The answer is 5
About 8% of the U.S. population catches the flu each season. Assuming everyone has equal probability of catching the flu, about what are the odds of catching the flu in a given season?
1 in 8
1 in 12
1 in 18
1 in 80
Answers
Answer:
The correct answer is B. 1 in 12.
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Percentage of the U.S. population that catches the flu each season = 8%
8% = 8/100
2. Assuming everyone has equal probability of catching the flu, about what are the odds of catching the flu in a given season?
Let's review together each of the possible answers given:
A. 1 in 8 = 1/2 = 0.125 = 12.5%, this is not the percentage given.
B. 1 in 12 = 1/12 = 0.083 = 8.3%, if we round to 8%, this is the percentage given.
C. 1 in 18 = 1/18 = 0.056 = 5.6%, this is not the percentage given.
D. 1 in 80 = 1/80 = 0.0125 = 1.25%, this is not the percentage given.
The correct answer is B. 1 in 12.
3) Find the value of x. A) 21 B) 27 C) 31 D) 34
Answers
Answer:
I will guess 21
Step-by-step explanation:
9+10=21 boi
Answer:
for Usatestprep it is 21
Step-by-step explanation:
i swear 100%
Robyn bought the following items in a supermarket. Can you help Robyn round each price to the nearest dollar. Item Actual Price Round to Nearest Dollar $ 34.70 $ $ 278.22 $ $ 45.89 $ 8.38
Answers
Answer:
$34.70 rounded to $35, $278.22 rounded to $278, $45.89 rounded to $46, $8.38 rounded to $8.
Step-by-step explanation:
Solve for x in the equation x - 4 = 7.
A. X = -3
B. x = 11
C. x = 28
D. x = 3
Answers
Answer:
B) x = 11
Step-by-step explanation:
Add 4 to both sides
x - 4 + 4 = 7 + 4
x = 11
Steps to solve:
x - 4 = 7
~Add 4 to both sides
x - 4 + 4 = 7 + 4
~Simplify
x = 11 (Option B)
Best of Luck!
Write an equation in slope-intercept form for the line passing through the pair of points. (2, –6), (–4, 3) Question 17 options: y = x + 3 y = x – 3 y = x – 3 y = x + 3
Answers
Answer:
No answer choices are correct; y=-9/6x-3
Step-by-step explanation:
Slope=Rise/Run=(3-(-6))/(-4-2)=9/-6=-9/6
y=-9/6x+b
3=-9/6(-4)+b
3=36/6+b
3=6+b
-3=b
So the equation is y=-9/6x-3, so none of your answer choices are correct
which statements are true of functions? check all that apply
Answers
Answer:
All functions have a dependent variable.
All functions have an independent variable.
A horizontal line is an example of a functional relationship.
Step-by-step explanation:
i did it n got it right yayyyyyyyy
Name the property illustrated in this statement. If y - 2 = -8. then y - 2 + 2 = -8 + 2.
Answers
10
Step-by-step explanation:
first what is 10 take away 2 is 8 then 10 take away 2 is 8 + 2 equals 10 8 + 2 equals 10 so that's how I got the answer 10
What value of y makes the equation below true?
2y−25=19
A
A) 44
B) 22
C) −3
D)−6
Answers
Answer:
B is the answer I Know it is wright
Step-by-step explanation:
so you add 25 and 19 and then divide 44 and 2 and get 22
If the mass of an object is 20 g and the volume is 2cm3 what is the density
Answers
Answer: 10cm^3 equals density please give briainliest
Step-by-step explanation: formula D=M/V
so D=20/2
D=10cm^3