Answer:
Option C: 90+90 Sq. Root of 2
Step-by-step explanation:
First we find the distance from second base to home plate. This is the diagonal of the square, which splits it into two right triangles.
Each right triangle will have legs of 90 feet. We use the Pythagorean theorem to find the length of the diagonal (the hypotenuse of the right triangle):
a² + b² = c²
90² + 90² = c²
8100 + 8100 = c²
16200 = c²
Take the square root of each side:
√(16200) = √(c²)
Simplifying √16200, we find the prime factorization:
16200 = 162(100)
162 = 2(81)
81 = 9(9) [Since this is a perfect square, we can stop; we know we take this out of the radical.]
100 = 10(10) [Since this is a perfect square, we can stop; we know we take this out of the radical.]
√16200 = √(9²×10²×2) = 9×10√2 = 90√2
This means the distance from 1st to 2nd and then from 2nd to home would be
90 + 90√2
"Reduce Fractions to lowest terms"
6 divided by 3.66
Answer:
100/61 or 1.63934
Step-by-step explanation:
The reduced fractions of 6/3.66 to the lowest terms is 100/61.
How to reduce fractions to the lowest terms?To reduce a fraction to its lowest terms, divide the numerator and denominator by the greatest common factor.A fraction is in its lowest or simplest term when the numerator and denominator have no common factor other than 1.A fraction is reduced, simplified, or in the lowest terms if one is the only common factor of the numerator and denominator.⇒ 6/3.66 = 600/366 = 100/61.
Hence, the reduced fraction of 6/3.66 to its lowest terms is 100/61.
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The Burns family went to breakfast at the huddle house. Mr. Burns ordered a meal for $7.75, Mrs. Burns ordered a meal for $ 9.50. the four kids ordered kids meals for $3.49 each. They left a 20% tip. How much was the bill Excluding tax?
The value of the total bill Excluding tax would be [tex]\$31.21.[/tex]
Given that,
Mr. Burns ordered a meal for [tex]\$7.75[/tex], and Mrs. Burns ordered a meal for [tex]\$ 9.50[/tex]. the four kids ordered kids' meals for [tex]\$3.49[/tex] each.
Now, the total cost of all the meals first:
Mr. Burns' meal: [tex]\$7.75[/tex]
Mrs. Burns' meal: [tex]\$ 9.50[/tex]
Kids (4 of them) meals: [tex]\$3.49[/tex] each
Hence, the total cost of kids' meals:
[tex]4 \times \$3.49 = \$13.96[/tex]
Now, the subtotal by adding up the individual meal costs:
Subtotal = Mr. Burns' meal + Mrs. Burns' meal + Total cost of kids' meals
[tex]= \$7.75 + \$9.50 + \$13.96[/tex]
[tex]= \$31.21[/tex]
Hence, the total bill Excluding tax would be $31.21.
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The shape to the right is a rectangle.how can you use the information shown to find it's perimeter?
Answer:
Step-by-step explanation:
you have to add up all the sides to find your answer
15 pts awarded and brainliest chosen
Which of the following are solutions to ? Check all that apply.
ANSWER
[tex]x = \frac{9}{2} [/tex]
EXPLANATION
The given absolute value equation is:
[tex] |x + 4| = 3x - 5[/tex]
This implies that, either
[tex] x + 4= 3x - 5[/tex]
[tex]x - 3x = - 5 - 4[/tex]
[tex] - 2x = - 9[/tex]
[tex]x = \frac{9}{2} [/tex]
Check for extraneous solution.
[tex]| \frac{9}{2} + 4| = \frac{27}{2} - 5[/tex]
[tex] \frac{17}{2} = \frac{17}{2} [/tex]
This is the real solution.
Or
[tex] - (x + 4)= 3x - 5[/tex]
This implies that:
[tex]x + 4= - 3x + 5[/tex]
Group similar terms:
[tex]x + 3x= 5 - 4[/tex]
[tex]4x = 1[/tex]
[tex]x = \frac{1}{4} [/tex]
Check for extraneous solution
[tex]| \frac{1}{4} + 4| \ne \frac{3}{4} - 5[/tex]
This is an extraneous solution.
Find the number of permutations of the first 10 letters of the alphabet, taking 3 letters at a time.
1040
980
720
630
Answer:
720
Step-by-step explanation:
The permutation looks like this for that set of data:
[tex]_{10}P_{3}[/tex]
and the formula to solve it like this:
[tex]_{10}P_{3} =\frac{10!}{(10-3)!}[/tex]
which simplifies down to
[tex]_{10}P_{3} =\frac{10!}{7!}[/tex]
Since every number less than 8 in the numerator cancels out with the denominator, we have
[tex]_{10}P_{3}=10*9*8[/tex]
which equals 720
Find the ares of a sector with the central angle of 200 and a diameter of 5.3 cm. Round to the nearest tenth
Answer:
12.3
Step-by-step explanation:
In order to find the solution.
1. You need to memorize the formula for the area of a sector, which is
(central angle/360) * pi (r)^2
2. You then plug in the variables carefully.
* You were given the diameter. Transform the diameter into radius by diving the diameter by two
(200/360) * pi (2.65)^2
3. Simplify and round to nearest tenth
12.3
The area of a sector with a central angle of 200 degrees and a diameter of 5.3 cm can be found by first finding the area of the full circle and then scaling it by the ratio of the central angle to the full circle angle (360 degrees). The final answer is approximately 12.2 cm².
Explanation:First, let's clear up some definitions. A sector is a part of a circle, defined by two radii and their enclosed arc. The central angle here is the angle at the centre of the circle formed by the two radii.
Start by calculating the radius of the circle. Given the diameter is 5.3 cm, the radius would be half of that, which is 2.65 cm.
The area ('A') of a full circle is calculated by the formula A = πr² where 'r' is the radius. Substituting the values to find the area of the full circle, we get A = π * (2.65 cm)² = 22.02 cm².
Since we are not interested in the area of the full circle but rather a sector of the circle, we need to scale this area down by the ratio of the central angle of the sector to the full angle of the circle (360 degrees). So, the area of the sector is (200/360) * 22.02 cm² = 12.2 cm².
So, the area of the circle sector is approximately 12.2 cm² when rounded to the nearest tenth.
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Hi, please help!
Isaiah has worked 50 hours this week at a grocery store. For the first 40 hours, he gets paid $12 an hour. For any additional hours, Isaiah gets paid overtime at 1.5 times his base pay per hour. How much will Isaiah earn this week?
a. $600
b. $750
c. $660
d. $720
Isaiah will earn $660 for the 50 hours he worked
Answer:
c. $660
Step-by-step explanation:
Please check out my question
Thank u soo much
Answer: 1. C) (4, 5)
2. D) (3, 4)
3. B) 5/2
Step-by-step explanation:
Plug in the (x, y) coordinates to see which makes a true statement for both of the given inequalities.
y ≥ -2x + 11 and y > 3x - 9
A) (2, 1) 1 ≥ -2(2) + 11 → 1 ≥ 7 is false
B) (4, 1) 1 ≥ -2(4) + 11 → 1 ≥ 3 is false
C) (4, 5) 5 ≥ -2(4) + 11 → 5 ≥ 3 is TRUE 5 > 3(4) - 9 → 5 > 3 is TRUE
D) (6, 6) 6 ≥ -2(6) + 11 → 6 ≥ -1 is TRUE 6 > 3(6) - 9 → 6 > 9 is false
The only option that produces a TRUE statement for both inequalities is C
********************************************************************************************
[tex]y=\dfrac{k}{x}\qquad \implies \qquad x\cdot y=k[/tex]
Given (2, 6), the k-value is 2 · 6 = 12.
Which (x, y) coordinates have a product of 12?
A) (1, 3) --> 1 · 3 = 3
B) (1, 4) --> 1 · 4 = 4
C) (3, 3) --> 3 · 3 = 9
D) (3, 4) --> 3 · 4 = 12 THIS WORKS!
********************************************************************************************
In order for the equation to have infinite solutions, the left side must equal the right side. Solve for "c"
8x - 2x(c + 1) = x
-2x(c + 1) = -7x subtracted 8x from both sides
c + 1 = (-7x)/(-2x) divided both sides by -2x
c + 1 = 7/2 simplified
c = 5/2 subtracted 1 from both sides
What transformation was not done to the linear parent function, f(x) = x, to get the function [tex]g(x) = -\frac{1}{2}(x-3)+7[/tex]?
A. Shifted left 3 units
B. Vertically compressed by a factor of 2
C. Reflected over the x-axis
D. Shifted up 7 units
Answer:
The transformation was not done is Shifted left 3 units
Step-by-step explanation:
* Lets talk about the transformation
- If the function f(x) reflected across the x-axis, then the new
function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new
function g(x) = f(-x)
- If the function f(x) translated horizontally to the right
by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
- A vertical stretching is the stretching of the graph away from
the x-axis
- A vertical compression is the squeezing of the graph toward
the x-axis.
- if k > 1, the graph of y = k•f(x) is the graph of f(x) vertically
stretched by multiplying each of its y-coordinates by k.
- if 0 < k < 1 (a fraction), the graph is f(x) vertically compressed
by multiplying each of its y-coordinates by k.
- if k should be negative, the vertical stretch or compress is
followed by a reflection across the x-axis.
* now lets solve the problem
∵ f(x) = x
∵ g(x) = -1/2 (x - 3) + 7
# -1/2 means the graph is vertically compressed by a factor of 2
and reflected over the x-axis
# x - 3 means the graph shifted to the right 3 units
# + 7 means the graph shifted up 7 units
* The transformation was not done is Shifted left 3 units
A wheel spins at 360 rpm. What is the angular velocity of the wheel, in radians per second?
Answer:
The angular velocity is approximately 12 π radians per second.
Step-by-step explanation:
Answer:
[tex]12\pi[/tex]
Step-by-step explanation:
A car drove 64 miles in 230 minutes. Which expression represents the rate of the car, in miles per hour? A - 64 / 2 B - 64 x 2 C - 64 / 120 D - 64 x 120
Answer:
230 minutes = 3 hours + 5/6 hours
64 miles per 230 minutes =
64 miles / 3.83333 hours = 16.695 mph
which equals NONE of the answers
Step-by-step explanation:
which geometric object is defined as the set of all points in a plane that are equidistant from the two sides of a given angle
Answer:B.) Bisector Of An Angle
Step-by-step explanation:
Angle bisectors are lines that bisect the considered angle. The correct option is B.
What are angle bisectors?Angle bisectors are lines that bisect the considered angle. Bisect refers to splitting into two equal parts. Therefore, the bisected parts of the considered angle are half of the original angle.
As the angle bisector is a line, that is exactly between the two rays of an angle, therefore, it can be concluded that the geometric object is the angle bisector or Bisector of an angle.
The geometric object is defined as the set of all points in a plane that are equidistant from the two sides of a given angle is the angle bisector.
Hence, the correct option is B.
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If the shaded of a bar representing 1/3 is divided into 6 equal parts, what is the fraction of one of these parts
Answer:
1/18 is the answer of that
What was done to the linear parent function f(X) = x to get the function g(x) = 1/5x
A. Horizontally compressed by a factor of 5
B. Vertically stretched by a factor of 5
C. Shifted 1/5 unit up
D. Vertically compressed by a factor of 5
Answer:
Step-by-step explanation:
f(x) = x becomes g(x) = (1/5)x through vertical compression by a factor of 5.
We have to vertically compress by a factor of 5 the liner parent function s(X)=x to get the function g(x)=1/5x.
What is function?A function is relationship between two variables in such a way that all the values of x corresponds to values of y.
How to determine function?The given function is f(X)=x and we need to form the function g(x)=1/5x from the function f(x)=x. Because we need to change the value of the function means we are changing y so we need to vertically walk in the graph. If we walk horizontally we might change the value of x.
Hence to get the function g(x)=1/5x we need to vertically compress by a factor 5 the function f(x)=x.
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Please help!!!!!!!!!!
Answer:
The area of the triangle is 0.5 square units more than the area of the parallelogram.
Step-by-step explanation:
The vertical sides of the parallelogram are 3 units long and separated by 2 units. Hence the area of that figure is 3×2 = 6 square units.
The leg lengths of the right triangle are each
√(2^2 + 3^2) = √13
so the area of the triangle is ...
A = (1/2)(√13)^2 = 13/2 = 6.5
The triangle has area 0.5 square units more than the parallelogram.
A function, F(x), is shown below.
Answer:
range of f(x) = [-4, -2) ∪ [2, 8)
a+b+c+d = -4
Step-by-step explanation:
The graph is attached. The range is the vertical extent of the function. It is defined at f(0) = -4 and f(2) = 2.
The limits f(2-) and f(4-) are -2 and 8, respectively, so the graph has open circles there. These are the ends of the two half-open intervals that make up the range of the function.
The portion of the graph in the domain [4, 7) is included in the range [2, 8), so no special treatment is needed for that piece of the function.
Jason used his car as collateral to borrow money from his bank. After losing his job, Jason is now unable to make his monthly payments for the loan, defaulting on the loan. If Jason is unable to continue to make his payments, what is likely to happen to his car? a. The bank will ask Jason to sell the car to help pay back his loan. b. The bank will seize the car and likely sell it to pay off Jason's loan. c. The bank will notify the local government of Jason's default on his loan, making it illegal for Jason to drive the car. d. The bank will put a "boot" on one wheel of the car, making it un-drivable until Jason begins making his payments again.
Answer:Hey guys hope yall are having a good day the answer is B
b.The bank will seize the car and likely sell it to pay off Jason’s loan.
Option B is the right option.
Step-by-step explanation:A collateral is something that a person keeps as a security against some loan. If he fails to re-pay the loan, the collateral is seized by the lender.
Here, it is given that Jason used his car as collateral to borrow money from his bank. Now unable to make his monthly payments for the loan, defaulting on the loan.
In this case, the bank will seize his car or collateral.
So, option B is correct - The bank will seize the car and likely sell it to pay off Jason's loan.
Evaluate. 12!/12!
A.) 0
B.) 1
C.) 12
12/12=1
answer is B) 1
Hope this helps chu
Answer:
B.) 1
Step-by-step explanation:
Let x = 12!
We have
x / x
Anything divided by itself = 1
There are 16 gifts under the Christmas tree. If 1 4 of them are for Chloe, how many gifts will Chloe receive? gifts
Answer: 4
Step-by-step explanation: If 1/4 of them are for Chloe, you'd divide 16 by 4 to find the answer. 16 divided by 4 equals 4.
Answer:
4
Step-by-step explanation:
There are 16 gifts under the tree, in which 1/4 is addressed to Chloe. To solve the amount she will get, Multiply 16 with 1/4:
16 x 1/4 = (16 x 1)/4 = 16/4 = 4
Chloe will receive 4 of those gifts.
~
Which of the following points is a solution to the system of equations shown?
x + y = -5 and 4x + y = 1
(2,-7)
(7,12)
(4, -5)
Answer: First Option (2,-7)
Step-by-step explanation:
We have a system of equations formed by the following equations:
[tex]x + y = -5\\\\4x + y = 1[/tex]
To answer this question we must solve the system of equations. There are several ways to solve it. The easiest way to solve it for this case is to multiply the second equation by -1 and then add it to the first equation.
[tex]\ \ \ x + y = -5\\-4x - y = -1[/tex]
----------------------
[tex]-3x + 0 = -6\\\\x = 2[/tex]
Now substitute x = 2 in any of the system equations and solve for y.
[tex]2 + y = -5\\\\y = -7[/tex]
Therefore the solution of the system is the point: (2, -7)
It was 9/20 ..
A math class has 9 girls and 1 boy in the seventh grade and 2 girls and 2 boys in the eighth grade. The teacher randomly selects a seventh grader and an eighth grader from the class for a competition. What is the probability that the students she selects are both girls?
Write your fraction in simplest form.
Answer:
[tex]\frac{9}{20}[/tex]
Step-by-step explanation:
We want probability that 1st is girl AND 2nd is girl as well.
In probability "AND" means multiplication and "OR" means "addition".
We find the probabilities separately and multiply them together, since "AND".
P(girl from 7th grader) = number of girl 7th grader/total number of 7th grader
=9/10
P(girl from 8th grade) = number of girl in 8th grade/total number of 8th grader=2/4
P(both girls) = 9/10 * 2/4 =9/20
Christopher is analyzing a circle, y2 + x2 = 121, and a linear function g(x). Will they intersect?
Yes, at positive x coordinates
Yes, at negative x coordinates
Yes, at negative and positive x coordinates
No, they will not intersect
3rd : yes, at negative and positive x coordinates
Answer:
Yes, at positive x coordinates
Step-by-step explanation:
Can someone please explain to me asap? Will mark brainiest
Answer:
It has a period of 180 degrees.
which equals (1/2) PI
Step-by-step explanation:
The answer is 1/2pi!
5 fewer than a number is greater than 17
Answer:
22
Step-by-step explanation:
17+5=22
Answer:
x > 22
Step-by-step explanation:
number = x
5 fewer than the number
x - 5
The number is greater than 17
x -5 > 17
x -5 > 17
x > 17 + 5
x > 22
Q1: If r = 9, b = 5, and g = -6, what does (r + b - g)(b + g) equal?
-14
-20
220
154
Q2: If 9(x - 9) = -11, then x = ?
70/9
108
-2/9
-90
(The images are 2 more questions)
The answers to the questions are: -20 for Q1, 70/9 for Q2, 36 for Q3, and -1 for Q4.
Q1: If r = 9, b = 5, and g = -6, what does (r + b - g)(b + g) equal?
First, calculate the expression inside the parentheses:
r + b - g = 9 + 5 - (-6) = 9 + 5 + 6 = 20
b + g = 5 + (-6) = 5 - 6 = -1
Now multiply these results together:
(r + b - g)(b + g) = 20 × (-1) = -20
The answer is -20.
Q2: If 9(x - 9) = -11, then x =?
First, simplify the equation:
9x - 81 = -11
9x = 70
Now, solve for x:
x = rac{70}{9}
The answer is 70/9.
Q3: If (1/2)x + (2/3)y = 6, what is 3x + 4y?
Multiply the original equation by 6 to eliminate the fractions:
6((1/2)x) + 6((2/3)y) = 6 × 6
3x + 4y = 36
The answer is 36.
Q4: Evaluate f(x) = 4x + 3x² - 5 when x = -2
Substitute -2 for x and calculate f(x):
f(-2) = 4(-2) + 3(-2)² - 5
f(-2) = -8 + 3(4) - 5
f(-2) = -8 + 12 - 5
f(-2) = -1
The answer is -1.
rewrite the following biconditional as two conditionals:
A quadrilateral is a parallelogram if and only if it has two pairs of opposite sides that are parallel.
Answer:
If it has two pairs of opposite sides that are parallel, then a quadrilateral is a parallelogram.If quadrilateral is a parallelogram, then it has two pairs of opposite sides that are parallel.Step-by-step explanation:
One of the conditions has the condition and the conclusion written in one order; the other has them written in the opposite order.
If it has two pairs of opposite sides that are parallel, then a quadrilateral is a parallelogram.If quadrilateral is a parallelogram, then it has two pairs of opposite sides that are parallel.Convert the line integral to an ordinary integral with respect to the parameter and evaluate it. modifyingbelow integral from nothing to nothing with upper c xyz font size decreased by 5 ds; c is the line segment from left parenthesis 0 comma 0 comma 0 right parenthesis to left parenthesis 1 comma 3 comma 6 right parenthesis
Parameterize [tex]C[/tex] by
[tex]\vec r(t)=(1-t)(0,0,0)+t(1,3,6)=(t,3t,6t)[/tex]
with [tex]0\le t\le1[/tex]. Then the line integral is
[tex]\displaystyle\int_Cxyz\,\mathrm dS=\int_0^1x(t)y(t)z(t)\left\|\frac{\mathrm d\vec r}{\mathrm dt}\right\|\,\mathrm dt[/tex]
[tex]=\displaystyle18\sqrt{91}\int_0^1t^3\,\mathrm dt=\boxed{\frac{9\sqrt{91}}2}[/tex]
The line integral over the path C from (0,0,0) to (1,3,6) can be converted into an ordinary integral by parameterizing the line segment and then substituting in the integral. The result of the integral amounts to 5.
Explanation:The given integral involves a line segment from (0,0,0) to (1,3,6). Our task is to convert this line integral to an ordinary integral.
The path C from (0, 0, 0) to (1, 3, 6) can be parameterized as r(t) = ti + 3tj + 6tk for 0 ≤ t ≤ 1. So, the dr = dt(i + 3j + 6k).
Substituting for ds in the integral, we get: ∫ r(t)dt from 0 to 1, which can be reduced to three separate integrals with respect to x, y, and z respectively: ∫xdx from 0 to 1, ∫3ydy from 0 to 1, and ∫6zdz from 0 to 1. Now these can be easily integrated.
So, the solution will be:
∫xdx from 0 to 1 = [x^2/2] from 0 to 1 = 1/2,
∫3ydy from 0 to 1 = [3y^2/2] from 0 to 1 = 3/2,
∫6zdz from 0 to 1 = [6z^2/2] from 0 to 1 = 3.
Adding these up gives the result of the original line integral, which is 5.
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Please Help !
Answer the questions about Figure A and Figure B below.
Answer:yes
Step-by-step explanation:
Each of their corners are at a 90* angle
The vertex of the parabola below is at the point (4, -1). Which of the equations below could be the one for this parabola?
A.x = 2(y - 4)^2 - 1
B.x = -2(y + 1)^2 + 4
C.x = 2(y + 1)^2 + 4
D.y = -2(x - 4)^2 - 1
Answer:
The answer is B
Step-by-step explanation:
Determine whether the graph of f(x) is a sinusoid.
f(x) = sin 20x + cos 8x
Answer
b. No
Step-by-step explanation:
We can easily solve this question by using a graphing calculator or any plotting tool, to check if it is a sinusoid.
The function is
f(x) = sin(20*x) + cos(8*x)
Which can be seen in the picture below
We can notice that f(x) is a not sinusoid. It has periodic amplitudes, and the function has a period T = π/2
The maximum and minimum values are
Max = 1.834
Min = -2
Answer:
B
Step-by-step explanation:
no