Answers
given sides and angles can be used to show similarity by both SSS and SAS similarity theorems
Related Questions
The figure below shows two half circles at the end of a rectangle with the dimensions shown. Which is closest to the area of the figure in square inches.
75
95
106
154
Answers
My attached picture has two diagrams one for each case (attached to long sides or short sides). I labeled them A and B so let's do A (the semi circles are attached to the short sides of the rectangle).
A
The area of a rectangle is given by A = length x width.
The area of the rectangle in the picture is (15)(5)=75 square inches.
The area of a circle is [tex]A= \pi r^{2} [/tex] where r is the radius. The length of 5 you see is the diameter (it goes all the way across the circle through the center. The radius is half of this so it is 5/2 = 2.5
The area of the semi circles is the same so if we put them together we would get a whole circle. The area of this circle is [tex] \pi ( 2.5^{2} )=6.25 \pi [/tex] square inches.
The area of the whole figure is what we get when we add the area of the circle and rectangle. Since none of the answer choices have pi in them let's use 3.14 as an approximation for pi. The whole figure has area: [tex]75+6.25 \pi =75+(6.25)(3.14)=94.625[/tex] which makes 95 the right answer.
B
If the semi circles are attached to the long side of the rectangle the total area is given by the following (read section A for HOW it's found): [tex](15)(5)+ \pi (15^{2} )=781.5[/tex] As this is NOT one of the answer choices so my guess is your picture looks like A.
(TIMED)Alan wants to bake blueberry muffins and bran muffins for the school bake sale. For a tray of blueberry muffins, Alan uses 1/3 cup of oil and 2 eggs. For a tray of bran muffins, Alan uses 1/2 cup of oil and 1 egg. Alan has 4 cups of oil and 12 eggs on hand. He sells trays of blueberry muffins for $12 each and trays of bran muffins for $9 each. Alan wants to maximize the money raised at the bake sale. Let x represent the number of blueberry muffins and y represent the number of bran muffins Alan bakes. What are the constraints for the problem?
Answers
2x + y < or equal to 12
x > or equal to 0
y > or equal to 0
1/3x + 1/2y < or equal to 4
Answer:
Let x represent the number of blueberry muffins [tex]x\geq 0[/tex]
Let y represent the number of bran muffins [tex]y\geq 0[/tex]
Tray of blueberry muffins: 1/3 cup of oil & 2 eggs
Tray of bran muffins: 1/2 cup of oil & 1 egg
Alan has 4 cups of oil and 12 eggs on hand.
He sells a tray of blueberry muffins for $12 each.
He sells a tray of bran muffins for $9 each.
[tex]\frac{x}{3}+\frac{y}{2}\leq 12[/tex]
The constraints for the problem are 4 cups of oil and 12 eggs.
Alan should not exceed 4 cups of oil and 12 eggs as it will create shortage. He should get the correct proportion of both the muffins to maximize his profit.
In equation form it is : [tex]\frac{x}{3}+\frac{y}{2}\leq 4[/tex]
Find the average value gave of the function g on the given interval. g(x) = 6 3 x , [1, 8]
Answers
9×9=81×63×5,103×[1,8]=9,[18]54
The average rate of change of the function over the interval is 3
Finding the average rate of changeFrom the question, we have the following parameters that can be used in our computation:
f(x) = 6 + 3x
The interval is given as
From x = 1 to x = 8
The function is a linear function
This means that it has a constant average rate of change
So, we have
f(1) = 6 + 3(1) = 9
f(8) = 6 + 3(8) = 30
Next, we have
Rate = (30 - 9)/(8 - 1)
Evaluate
Rate = 3
Hence, the rate is 3
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Question
Find the average value gave of the function g on the given interval. g(x) = 6 + 3x , [1, 8]
The trinket store is open for 14 hours per day. They sell an average of 5 trinkets per hour. The back storeroom currently has 560 trinkets in it
Answers
write the equation that estimates the number of trinkets T that will be in the storeroom after H hours
Initially the number of trinkets available = 560
every hour they sell an average of 5 trinkets
therefore in H hours, number of trinkets that will be sold = 5 trinkets/hr * H hrs
number of trinkets sold in H hours = 5H
the remaining number of trinkets = T
T = number of trinkets initially available - number of trinkets sold
T = 560 -5H
Q2)
How many days will it take to run out of trinkets
number of trinkets sold per hour - 5
number of hours the shop is open for - 14 hours / day
during one day number of trinkets sold - 5 trinkets/hr x 14 hrs/ day
= 70 trinkets per day
there are 560 trinkets available
and if 70 trinkets are sold per day
number of days it takes to sell 560 trinkets
days = 560 trinkets / 70 trinkets/day
= 8 days
the third response is correct - 1) T = 560 -5H
2) 8 days
What is the degree of the monomial: 5x^15? also please show your work!
Answers
5x^15
Anything that is a letter that is to a certain power is that powers degree.
Ex. 6y^7 This monomial would be in the 7th degree. (The y was to the 7th
power. The 7 shows what degree it is in)
I hope this helps!
_______________________________________________
Explanation:
_______________________________________________
The degree of a monomial, or the highest degree of a [monomial or polynomial] equation or expression — (for that matter)—is the largest number of the exponent value corresponding to the existing variable raised to the highest exponent value (assuming that there is a variable present). If there is a variable present—but with "no exponent value"—we assume that the exponent value is: "1" (the implied value of "1").
In this case: "5x^(15)" ; there is one (1) variable (which is: "x" ), and this variable, "x", is raised to the power of "15" (fifteen);
so the answer is: "15" .
_______________________________________________________
check my work please will give medals if you tell if this is right or not!!!
Let f(x)=x+5 and g(x)=x^2. find (g o f) (4)
A. 9 <--- my answer
B. 81
C. 20
D. 1
2. police can estimate the speed of a vehicle before the brakes are applied using the formula 0.75d=s^2/30.25, where s is the speed in miles per hour and d is the length of the vehicle's skid marks. what was the approximate speed of a vehicle that left skid marks measuring 140 feet?
A. about 10 miles per hour <-- my answer
B. about 75 miles per hour
C. about 15 miles per hour
D. about 56 miles per hour,
Answers
Since f(x)=(x+5) and g(x)=x^2,
First substitute 4 into f which is
f(4)=4+5=9.
then g(f(4))=g(9).
9^2=81
2.The answer is D. about 56 miles per hour
75d=s^2/30.25
given: d= 140
so 0.75*140=s^2/30.25
s^2=105*30.25=3176.25
= +/- sqrt 3176.25
s=56.358
=56 miles per hour.
Find the slope of the line that passes through the points (2 , 0) and (2 , 4).
Answers
[tex]\text {Slope = } \dfrac{4-0}{2-2} = \dfrac{4}{0} = \infty[/tex]
The graph is a vertical line , x = 2
The slope of the line passing through the given points (2, 0) and (2, 4) is ∞ (undefined).
Given the following data:
Points on the x-axis = (2, 2)Points on the y-axis = (0, 4)To find the slope of the line passing through the given points (2, 0) and (2, 4):
The slope of a straight line.Mathematically, the slope of a line is given by the following formula;
[tex]Slope. \;m = \frac{Change \; in \; y \;axis}{Change \; in \; x \;axis} \\\\Slope. \;m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Substituting the points into the formula, we have;
[tex]Slope, \;m = \frac{4 - 0}{2 - 2}\\\\Slope, \;m = \frac{4}{0}[/tex]
Slope, m = ∞ (undefined).
Note: A mathematical expression is considered to be undefined when its denominator is zero (0).
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simplify the expression
9(10 + 5) / (6 - 5)
A.95
B.135
C.85
D.17
Answers
first simplify the parenthesis
10 + 5 = 15
6 - 5 = 1
9(15)/1
multiply 9 and 15 together
9(15) = 135
135/1 = 135
B. 135 is your answer
hope this helps
It would be 135
Suppose you and your friends order lunch at a mall restaurant, and the bill for your food is $28.50. If you want to leave a 12% tip, what is the total cost of the food plus the tip?
A. $3.42
B. $25.08
C. $28.50
D. $31.92
Answers
The students spent $15.20 altogether. Each student spent $1.90. How many students were in this group?
Answers
To find the number of students in a group who spent a total of $15.20, with each student spending $1.90, divide the total amount by the amount each student spent, resulting in 8 students.
Explanation:The question asks how many students were in a group if they spent $15.20 altogether, with each student spending $1.90. To find the number of students, divide the total amount spent by the amount each student spent. This calculation is performed by dividing $15.20 by $1.90.
Calculation: $15.20 ÷ $1.90 = 8 students
Therefore, there were 8 students in the group.
If logx 2 =1/3 what is the value of x
Answers
[tex] log_{x} 2 = \frac{1}{3} \\ x^{ \frac{1}{3}} = 2 \\ (x^{ \frac{1}{3}})^{3} = 2^{3} \\ x = 8[/tex]
Follow the steps to solve
Which of the following is the image of D after a rotation of 90° about the origin?
(-2, 1)
(2, 1)
(-1, -2)
Answers
Answer:
The answer is (2,1)
Step-by-step explanation:
Given a vector in the plane, we can describe the rotation as a function :
X is the vector
T is the function that represents the rotation
[tex]T(X)=AX[/tex]
Where A is the rotation matrix
The rotation matrix about the origin in counterclockwise sense for an angle ''a'' is :
[tex]A=\left[\begin{array}{cc}cos(a)&-sin(a)\\sin(a)&cos(a)\end{array}\right][/tex]
If we replace ''a'' by 90 ⇒
[tex]\left[\begin{array}{cc}cos(90)&-sin(90)\\sin(90)&cos(90)\\\end{array}\right][/tex]
[tex]A=\left[\begin{array}{cc}0&-1\\1&0\\\end{array}\right][/tex]
If we want to rotate the vector D = (1,-2) :
[tex]T(D)=AD=\left[\begin{array}{cc}0&-1\\1&0\\\end{array}\right]\left[\begin{array}{c}1&-2\end{array}\right]=\left[\begin{array}{c}2&1\end{array}\right][/tex]
The rotation of the vector (1,-2) about the origin for an angle of 90 and in counterclockwise sense is (2,1)
A bag of marbles contains 5 red, 10 blue, 3 yellow and 7 green marbles. lisa chooses one marble at random from the bag. what is the probability of not choosing a red marble?
Answers
There are 20 non-red marbles and there are 25 total marbles
longer
congruent
shorter
proportional
Answers
DeAndre has two glass cylinders whose dimensions are shown in the diagram. He wants to determine which cylinder will hold the most water. Which of the formulas will help him determine which cylinder could hold the most water? A) V = 2πrh B) V =πr2h C) V = 4 3 π3 D) V = 1 2 πrh
Answers
Use that formula to plug the numbers in and you can compare it if you want to
100% correct :)
Answer: B) [tex]V=\pi r^2 h[/tex]
Step-by-step explanation:
Given: DeAndre has two glass cylinders .
To determine which cylinder will hold the most water, we need to find the volume of both the containers.
We know that the volume of cylinder is given by :-
[tex]V=\pi r^2 h[/tex]
Therefore, the formulas will help him determine which cylinder could hold the most water will be :
[tex]V=\pi r^2 h[/tex]
What is the reciprocal of 4 3/7? Please help!
Answers
I hope this helped! :-)
The reciprocal of number 4 3/7 is 7/31.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.
Given the mixed number
4 3/7 = (7×4 + 3)/7
⇒ 31/7
Now reciprocal is nothing but an interchange of numerator and denominator.
So
Reciprocal of 31/7 → 7/31
Hence "The reciprocal of number 4 3/7 is 7/31".
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On a hot, sunny day, a random selection of people in a small town were given a photo of a skating rink in a big city and asked the following question: "Do you think our town should look into building an outdoor skating rink?" Which of the following might be a problem with the survey?
Select one:
a. Timing
b. Privacy
c. Bias
d. Cost
Answers
The storage container below is in the shape of a rectangular prism with a height of 6 feet and a length that is 2 feet more than its width. recall that the formula for the volume of a rectangular prism is v = l · w · h, where l is the length, w is the width, and h is the height. write the equation that represents the volume of the storage container in terms of its width.
Answers
l ------------------> is the length
w -----------------> is the width
h ----------------- > is the height
we know that
h=6 ft
l=2+w
[the volume of the storage ]=[l]*[w]*[h]------> [2+w]*[w]*[6]
[the volume of the storage ]=[l]*[w]*[h]------> 6*[2w+w²]-----> 6w²+12w
the answer is
V=[6w²+12w] ft²
Answer:
V = 6w² + 12w
Step-by-step explanation:
Voluntary sampling is one type of sampling method that is not probability based. This means that
a)each member of a population is equally likely to be chosen for the survey.
b)the results of the survey cannot reliably be extended and generalized.
c)the likelihood of a member of the population volunteering to be surveyed is not probable.
d)the results of the survey are not mathematically probable.
Answers
Answer:
b)the results of the survey cannot reliably be extended and generalized.
Step-by-step explanation:
Voluntary sampling is a type of convenience sample; it is convenient for the researcher to perform.
However, voluntary sampling can lead to bias; usually only people who feel strongly one way or the other about the survey will volunteer to be members of a sample.
Since there is a possibility of bias, the results of the survey cannot reliably be extended and generalized.
The correct statement is,
b) the results of the survey cannot reliably be extended and generalized.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Since, We know that;
Voluntary sampling is a type of convenience sample and it is convenient for the researcher to perform.
However, voluntary sampling can lead to bias; usually only people who feel strongly one way or the other about the survey will volunteer to be members of a sample.
Now, Since there is a possibility of bias,
Hence, the results of the survey cannot reliably be extended and generalized.
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Jared is a boxer. He can box in the Heavyweight class if his mass is at least 100 \text{ kg}100 kg100, space, k, g by the end of the month. Write an inequality that is true only for masses (m)(m)left parenthesis, m, right parenthesis at which Jared can box in the Heavyweight class.
Answers
Answer:
Inequality for the given condition for the weight (m) ≥ 100 (greater than or equal to)
Explanation:
let suppose weight of Jared is "m" according to the given question.
His weight should be atleast (greater than or equal to ) 100 kilogram in order to box is heavy weight class.
So, our inequality equation for the above condition is :
m is greater than or equal to 100
m ≥ 100 That's the final answer.
I hope it will help you.
write an equation of the line that is parallel to the line y = -x + 4 and passes through the points 0, 10.
Please help me!
Answers
Gradient = -1
Equation of line: y = -x + c
Point : (0,10) replace in the above equation
y = -x + c
10 = -0 + c
c = 10
Equation is: y = -x + 10
Hope it helped!
Which ordered pair could be removed so that the resulting graph represents a function
Answers
.. (1, -2)
or
.. (1, 3)
Answer:
One of this ordered pairs: [tex]\left ( 1,3 \right )\,,\,\left (1 ,-2 \right )[/tex] should be removed
Step-by-step explanation:
A relation f is said to be a function if for each and every element of it's domain there exists a unique image in it's codomain.
As per the graph, ordered pairs are [tex]\left ( 1,3 \right )\,,\,\left ( 2,1 \right )\,,\,\left ( -2,2 \right )\,,\,\left (1 ,-2 \right )\,,\,\left ( 5,-4 \right )\,,\,\left ( -4,-4 \right )\,,\,\left ( -5,-3 \right )[/tex]
Here, all the ordered pairs have unique image except [tex]\left ( 1,3 \right )\,,\,\left (1 ,-2 \right )[/tex]
Here , element 1 of domain has two images 3 and - 2 .
We know that as per definition for each and every element of the domain there should be a unique image in the codomain.
So, one of this ordered pairs: [tex]\left ( 1,3 \right )\,,\,\left (1 ,-2 \right )[/tex] should be removed in order to make it a function.
1) What is the solution to x - 5 = 27?
Answers
Isolate the x, add 5 to both sides (because of equal sign)
x - 5 = 27
x - 5 (+5) = 27 (+5)
x = 27 + 5
x = 32
x = 32 is your answer
hope this helps
Runaround Corporation sells running shoes and during January they ran production machines for??? 20,000 hours total and incurred??? $9,000 in maintenance costs. During July they ran production machines for??? 14,000 hours total and incurred??? $7,200 in maintenance costs.
Based on this??? data, what is the cost formula for maintenance??? costs?
Answers
The cost formula for maintenance cost is : y = 3.33x + 10000
The cost formula for maintenance cost can be written in the form :
y = bx + c b = slope ; c = interceptUsing the pair of points ;
(9000, 20000) ; (7200, 14000)Slope = (14000 - 20000) / (7200 - 9000)
Slope = -6000 / 1800
Slope, b = 3.33
We have ;
y = 3.33x + c
Using the point (9000, 20000)
20000 = 3.33(9000) + c
20000 = 30000 + c
c = 10000
Now we have;
y = 3.33x + 10000
The cost formula for maintenance cost is : y = 3.33x + 10000
On a particular Saturday, 60% of the visitors to an art museum were students. Iff 144 students visited the museum, how many total visitors did the art museum had Saturday?????????? Will be fan and rewarded a medal if solved.
Answers
24 x 10 = 240
240
We are given that 144 students went to the museum
This 144 is 60% of the total, x
thus,
60% of x =144
therefore x = 144 x 100/60 = 240
There are totally 240 visitors at the art museum on Saturday.
People who reach retirement age will have accidents and health issues. True False
Answers
Answer:
Its FALSE on odyssey
does the following function represent exponential growth, exponential decay or niether? How can you tell? Y=2*.68^x
Answers
_____
If it were greater than 1, it would represent exponential growth.
A cookie recipie states for every 3 cups of flour, 1 1/2 teaspoons of vanilla are needed.How many teaspoons are needed for 5 cups of flour?
Answers
----------------------------------------------------------
Find 1 cup
----------------------------------------------------------
[tex]\text {1 cups of flour : } 1\dfrac{1}{2} \div 3 \text{ teaspoons of vanilla}[/tex]
[tex]\text {1 cups of flour : } \dfrac{3}{2} \times \dfrac{1}{3} \text{ teaspoons of vanilla}[/tex]
[tex]\text {1 cups of flour : } \dfrac{1}{2} \text{ teaspoons of vanilla}[/tex]
----------------------------------------------------------
Find 5 cups
----------------------------------------------------------
[tex]\text {1 cups of flour : } \dfrac{1}{2} \text{ teaspoons of vanilla}[/tex]
[tex]\text {5 cups of flour : } \dfrac{1}{2} \times 5 \text{ teaspoons of vanilla}[/tex]
[tex]\text {5 cups of flour : } \dfrac{5}{2} \text{ teaspoons of vanilla}[/tex]
[tex]\text {5 cups of flour : } 2\dfrac{1}{2} \text{ teaspoons of vanilla}[/tex]
----------------------------------------------------------
[tex]\bf \text {Answer : } 2\dfrac{1}{2} \text{ teaspoons of vanilla}[/tex]
----------------------------------------------------------
Use the table below to answer this question:
x y
−1 -3
0 -1
2 3
Find the average rate of change for the given function from x = −1 to x = 2.
Answers
.. average rate of change = (increase in y)/(increase in x) = 6/3 = 2
The average rate of change is 2 over the given interval.
how do graphs of y=1/x and y=5/(x+6) compare? I know the second graph shifts to left by 6 units but does it move down and how many units?
Answers
Answer:
y = 5/x +6 makes your raises your graph 6 units higher.
Step-by-step explanation: