Polygons EFHG and E′F′H′G′ are shown on the following coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A polygon EFHG is shown with vertex E on ordered pair 2, 2, vertex F on ordered pair 2, 4, vertex H on ordered pair 3, 5 and vertex G on ordered pair 3, 1. A polygon E prime F prime H prime G prime is shown with vertex E prime on ordered pair negative 1, 2, vertex F prime on ordered pair negative 3, 2, vertex H prime on ordered pair negative 4, 3, and vertex G prime on ordered pair 0, 3. What set of transformations is performed on EFHG to form E′F′H′G′?
Answers
All choices involve a rotation by 90° or 270° counterclockwise about the origin.
consider a rotation by 90° counterclockwise. Each point P(a, b) can be rotated 90° cwise about the origin to form P"(a",b") :
by drawing the right angle POP", such that |PO|=|OP"|.
or by plotting each P"(a",b") so that (a",b")=(-b, a)
for example if G(3, 1) is mapped to G(-1, 3) by either of the procedures described.
check picture 2.
EFHG is mapped to E′'F'′H'′G′'.
In order to map E′'F'′H'′G′' to E'F′H'G′, we need to translate the figure 1 unit right.
Answer:
"A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right"
Answer:
A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the right
Step-by-step explanation:
i took the test
Related Questions
What is 14/28 in simplest form?
Answers
The GCM of 14 and 28 is 7. 7 goes into 14 2 times, and goes into 28 4 times. So...
2/4
Which can be simplified further to 1/2
The answer is 1/2
Hope this helps! :)
is 113,724 divisible by 3,5,6,or9
Answers
The answers would be 3, 6, and 9.
i need help on this math problem
Answers
10+11+12+12+14+15+15+15=104
104/8=13
Final answer: 13
Leo spent the same amount of time working on each of 5 different weight machines and then spent 2/3 of an hour on the treadmill. If he spent a total of 1 3/4 hours at the gym, which shows the correct equation and solution for x, the number of hours Leo spent at each of the weight machines?
Answers
Let's break this down. We know that there are 5 weight machines, and Leo spent an equal amount of time on all of them. Since we don't know how long he spent on each, we'll use x. Our equation so far is 5x. Then, we know that he spent 2/3 hour on the treadmill, which we will just add to the 5x. So, now our equation is 5x + 2/3. Lastly, we know that the total time Leo spent at the gym is 1 3/4 hours, which we set the last equation equal to. Our final equation is 5x + 2/3 = 1 3/4. Then, all we have to do is solve for x. What we can do to make this easier is to change all of the fractions into numbers. After changing everything, here is our equation: 5x + 40 = 105. Then, we will subtract 40 from each side and divide both sides by 5. Therefore, Leo spent 13 minutes on each weight machine.
ANSWER:
A) 5x + 2/3 = 1 3/4 ; Leo spent 13 minutes at each machine
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Final answer:
Solving for the time Leo spent on each weight machine involves setting up an equation based on the total gym time and subtracting the time spent on the treadmill, resulting in Leo spending about 13 minutes at each weight machine.
Explanation:
To solve for the amount of time Leo spent at each weight machine, we need to set up an equation based on the total time spent at the gym. First, we know that Leo spent 2/3 of an hour on the treadmill. With a total gym time of 1 3/4 hours (which is the same as 7/4 hours), we can subtract the treadmill time to find the time spent on the weight machines. Thus, the equation can be set up as follows:
5x + 2/3 = 7/4
To solve for x, the hours Leo spent at each weight machine, follow these steps:
Subtract 2/3 from both sides of the equation: 5x = 7/4 - 2/3
Find a common denominator for the fractions and subtract: 5x = 21/12 - 8/12
Simplify the right side: 5x = 13/12
Divide both sides by 5 to solve for x: x = 13/60 hours
This means Leo spent 13/60 hours, or about 13 minutes, at each of the 5 weight machines.
scientific notation of 19 hundred thousandths
Answers
1.9×〖10〗^(-4)
Explanation
A number is said to written in scientific notation when it is in the form A×〖10〗^n, where 1≤A<10 and n is an integer.
In this case,
19 hundred thousandths =19/100,000=0.00019
0.00019=1.9×〖10〗^(-4)
19 hundred thousandths to scientific notation = 1.9×〖10〗^(-4)
Final answer:
The scientific notation of 19 hundred thousandths (0.0019) is 1.9 × 10⁻³, accomplished by moving the decimal point three places to the right.
Explanation:
The scientific notation of the number 19 hundred thousandths, which is written as 0.0019 in decimal form, involves expressing it as the product of a number between 1 and 10 and a power of 10. To convert to scientific notation, we must move the decimal point three places to the right, which will change the number to 1.9. Since we moved the decimal point to the right, the exponent will be negative. Therefore, 0.0019 in scientific notation is 1.9 × 10⁻³.
A street that is 351ft long is covered in snow. City workers are using a snowplow to clear the street. The snowplow has tires that are 3.5ft in diameter. How many times does a tire have to turn in traveling the length of the street?
Answers
351ft(rev/(3.5π ft)≈31.92 revolutions
sharon and anthony dropped a stone from a 150-foot cliff. find the time, t, in seconds that it will take for the stone to reach the ground. let t=1/4 square root of s, where s represents the distance in feet the stone will fall.
Answers
(s = 150ft
t = 1/4 square root of s)
Square Root (150) = 12.2474487139
12.2474487139 ÷ 4 = 3.0618621785 = ~3.062
Final Answer: About 3.062 seconds.
A regulation soccer goal net is 24 ft wide by 8 ft high. A soccer net for children is 6 ft wide. If the manufacturer wishes to keep the children's soccer net to scale, how tall should the children's net be? What is the scale factor? (round answer to two decimal places)
Answers
To maintain the scale of a children's soccer net to that of a regulation net, the height should be 2 feet, given that the child-size net is 6 feet wide. The scale factor used is 0.25.
Explanation:The question asks us to find the scaled dimensions for a children's soccer net based on the dimensions of a regulation soccer goal net. The original dimensions are 24 ft in width and 8 ft in height. If a children's soccer net is 6 ft wide and we want to keep the same scale, we need to calculate the height of the net in proportion to the regulation net's dimensions.
Height Calculation:
The scale factor is the ratio of the width of the children's net to the width of the regulation net. To find the height of the children's net, we multiply the height of the regulation net by the scale factor:
Scale Factor = Width of Children's Net / Width of Regulation Net
Scale Factor = 6 ft / 24 ft = 0.25
Height of Children's Net = Scale Factor × Height of Regulation Net
Height of Children's Net = 0.25 × 8 ft = 2 ft
Therefore, to maintain the scale, the height of the children's soccer net should be 2 feet, and the scale factor is 0.25.
Which line has the following intercepts?
x intercept = (3/7, 0)
y intercept = (0, -1.2)
A) 7x+6y = 3
B) 7x-6y = 3
C) 7x+6y = (-3)
D) 7x-6y = (-3)
Answers
Alina spent no more than $45 on gas for a road trip. The first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon. Which inequality relates the number of gallons of gas she bought at the first station, x, the number of gallons of gas she bought at the second station, y, and the total amount she paid? What are the possible values of y?
Answers
A)3.5x + 4y ≥ 45, y ≥ 11.25
B)3.5x + 4y ≥ 45, 0 ≤ y ≤ 10.375
C)3.5x + 4y ≤ 45, 0 ≤ y ≤ 11.25
D)3.5x + 4y ≤ 45, y ≥ 10.375
Answers
Answer:
Option C is correct.
Step-by-step explanation:
Alina spent no more than $45 on gas for a road trip.
Let gallons bought at first station be = x
Let gallons bought at the second station be = y
The first gas station she used charged $3.50 per gallon and the second gas station charged $4.00 per gallon.
Equations become: 3.50x and 4y
Total money spent on gas is no more than $45.
So, complete equation is given as:
[tex]3.50x+4y \leq 45[/tex]
To know the possible value of y let us assume she bought all the gas from second station.
[tex]4y\leq 45[/tex]
[tex]y\leq 11.25[/tex]
As the number of gallons can not negative, range is:
[tex]0\leq y\leq 11.25[/tex]
Therefore, option C is correct.
How much is 1 foot line of quarters worth
Answers
a quarter is 1.75 mm thick
1 mm = 0.0393701 inches
0.0393701/12 = 25.4 mm per inch
25.4/1.75 = 14.5 quarters per inch
14.5 x 12 = 174 quarters per foot
174 x 0.25 = 43.50
$43.50 for a foot of quarters
Tommy and Zach are starting out at the same position. Tommy runs north at 3 miles per hour and Zach starts to run east 2 hours later at the rate of 4 miles per hour. How long until Tommy and Zach are 8 miles apart?
Answers
T=3t
Then Zach starts running two hours later at 4mph and his position can be expressed as:
Z=4(t-2)=4t-8
The distance between Tommy and Zach can be expressed as the hypotenuse length of a right triangle with the distances for Tommy and Zach being the lengths of the sides...
d^2=T^2+Z^2
d^2=(3t)^2+(4t-8)^2
d^2=9t^2+16t^2-64t+64
d^2=25t^2-64t+64, and we want to know when they are 8 miles apart
25t^2-64t+64=8^2
25t^2-64t+64=64
25t^2-64t=0
25t(t-2.56)=0
So 2.56 hours after Tommy started running they will be 8 miles apart.
To be clear though, this is the time Tommy spent running, or the time that elapsed since Tommy started running. Zach has only been running for 0.56 hours. So if they are looking for the time Zach ran it is 0.56 not 2.56 hours.
Zach=2 hours Tommy= 3 1/2 hours
Is 7.6 repeating greater or less than square root 55
Answers
7.6>7.4
characteristics of the graph of the absolute value parent function
Answers
How many 2/3- cup servings are in 6 cups of yogurt
Answers
= 6 * 3/2
= 18/2
= 9
answer
there are 9 (2/3 cup) servings in 6 cups of yogurt
Answer: The required number of servings in 6 cups of yogurt is 9.
Step-by-step explanation: We are given to find the number of [tex]\dfrac{2}{3}[/tex] cup servings in 6 cups of yogurt.
We will be using the UNITARY method to solve the given problem.
We have
Number of servings in [tex]\dfrac{2}{3}[/tex] cups of yogurt = 1.
So, the number of servings in 1 cup of yogurt will be
[tex]\dfrac{1}{\frac{2}{3}}=\dfrac{3}{2}.[/tex]
Therefore, the number of servings in 6 cups of yogurt is given by
[tex]\dfrac{3}{2}\times6=9.[/tex]
Thus, the required number of servings in 6 cups of yogurt is 9.
Part A: If (72)x = 1, what is the value of x? Explain your answer.
Part B: If (70)x = 1, what are the possible values of x? Explain your answer.
Answers
x = 1/72 <== basically, because a number multiplied by its reciprocal, is equal to 1
70x = 1...divide both sides by 70
x = 1/70 <== same thing as before, a number multiplied by its reciprocal equals 1
The solution of the equation 72x = 1 is 1/72 and 70x = 1 is 1/70.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The equation is given below.
72x = 1
Simplify the equation, then the value of x will be
72x = 1
x = 1/72
The equation is given below.
70x = 1
Simplify the equation, then the value of x will be
70x = 1
x = 1/70
Then the solution of the equation 72x = 1 is 1/72 and 70x = 1 is 1/70.
More about the Algebra link is given below.
https://brainly.com/question/953809
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Triangle PQR is formed by the three squares A, B, and C:
Which statement best explains the relationship between the sides of triangle PQR?
(PQ)2 + (QR)2 = (PR)2, because 9 + 16 = 25
PQ + QR = PR, because 9 + 16 = 25
(PQ)2 + (QR)2 = (PR)2, because 52 + 32 = 42
PQ + QR = PR, because 52 + 32 = 42
Answers
Answer:
A.[tex]PR^2=PQ^2+QR^2[/tex]
Because [tex]25=9+16[/tex]
Step-by-step explanation:
We are given that
Area of square A=[tex]9[/tex] square units
Are of square B=[tex]16[/tex] square units
Area of square C=[tex]25[/tex] square units
We have to find the relationship between sides of triangle PQR.
Side of square=[tex]\sqrt{Area\;of\;square}[/tex]
Using the formula
Side of square A=[tex]\sqrt{9}[/tex]=3 units
Side of square B=[tex]\sqrt{16}=4[/tex] units
Side of square C=[tex]\sqrt{25}=5[/tex] units
Pythagoras theorem
[tex](hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2[/tex]
Using Pythagoras theorem
[tex]PR^2=PQ^2+QR^2[/tex]
[tex]5^2=3^2+4^2[/tex]
[tex]25=9+16[/tex]
Option A is true
What are the fractions of 48
Answers
Cd tower is shaped like a cylinder and holds CDs in a diameter of 4.7 inches . If the cd tower is 12 inches tall what is the volume in cubic inches. Use 3.14 for pi. Round your answer to the nearest hundredth
Answers
Height of CD tower is = 12 inch
Diameter of CD which CD tower holds is = 4.7 inch
So we can say radius of CD is = 4.7/2 = 2.35 inch
So we can say it is cylinder in shape having height = 12 inch and radius = 2.35 inch.
In general volume of cylinder is
[tex]V = \pi r^2 h[/tex]
Where r is radius and h is height.
Now we can plugin r = 2.35 inch and h = 12 inch
[tex]V = \pi*(2.35)^2 * 12[/tex]
[tex]= \pi * 5.5225 * 12 = 66.27* \pi[/tex]
in genera [tex]\pi = 3.14[/tex]
So [tex]V = 66.27 * 3.14 = 206.0997[/tex] cubic inch
So
compare the values of the underlined digets 6035 and 530 the digit is 3
Answers
In 530 , digit 3 = 30
so digit 3 in both numbers = 30(digit 3 value is same in both numbers)
common ratio of fraction in geometric sequence?
5/12,-1/6,1/15,-2/75,4/375
Answers
(-1/6) / (5/12) =
-1/6 * 12/5 =
- 2/5 <== ur common ratio
The common ratio between each pair of terms in the given geometric sequence of fractions is -2/5.
Explanation:A geometric sequence is a sequence of numbers in which each term after the first is found by multiplying the previous term by a constant factor called the common ratio. To find the common ratio in a geometric sequence of fractions, we divide each term by the previous term. Let's calculate the common ratios for the given sequence:
Common ratio between 5/12 and -1/6 = (-1/6) / (5/12) = -1/6 * 12/5 = -2/5Common ratio between -1/6 and 1/15 = (1/15) / (-1/6) = 1/15 * (-6/1) = -2/5Common ratio between 1/15 and -2/75 = (-2/75) / (1/15) = -2/75 * 15/1 = -2/5Common ratio between -2/75 and 4/375 = (4/375) / (-2/75) = 4/375 * (-75/2) = -2/5As we can see, the common ratio between each pair of terms in the given geometric sequence of fractions is -2/5.
Learn more about common ratio of fraction in geometric sequence here:https://brainly.com/question/32842770
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A skydiver is falling at about q42 feet per second.How many feet per minute is she falling?
Answers
Multiply 42 ft/sec by 60 sec/min and the sec's cancel leaving 42x60 ft/min = 2520ft/min
I REALY NEED HELP!
In kite ABCD, m∠ACD=82°. What is m∠DCE?
1.)41°
2.)82°
3.)90°
4.)98°
Answers
Answer:
(A)41°.
Step-by-step explanation:
We know that in Kite, the diagonals are the angle bisectors, therefore
In Kite ABCD, m∠ACD=82°, thus
[tex]m{\angle}DCE=\frac{1}{2}m{\angle}ACD[/tex]
Substituting the given value, we have
⇒[tex]m{\angle}DCE=\frac{1}{2}(82^{\circ})[/tex]
⇒[tex]m{\angle}DCE=41^{\circ}[/tex]
Therefore, the measure of m∠DCE is 41°.
Hence, option A is correct.
the radius of the circle is πcm. the base of the triangle is πcm . the area of the circle equals the area of the triangle. what is the height of the triangle
Answers
π(π)^2= π^3
Area pf triangle: Bh/2
πh/2
π^3= πh/2
Multiply both sides by 2
2π^3= πh
Divide both sides by π
2π^2=h
Final answer: height= 2π^2
π*radius^2
Since we know that radius=π, we can rephrase the formula to this:
π*π^2
Follow BEDMAS to solve
π*9.8696044
=31.0062767
The area of the circle is 31.0062767 centimeters.
To find the height of the triangle using the information we have gathered, we can create an equation.
The formula to find the area of a triangle is:
base*height/2
Lets input the information we know:
π*h/2=31.0062767
Solve for h
(π*h/2)*(2) =(31.0062767)*(2)
π*h=(31.0062767)*(2)
π*h=62.0125534
(π*h)/(π)=(62.0125534)/(π)
h=(62.0125534)/(π)
h=19.7392088
The height of the triangle would be 19.7392088 centimeters.
Hope this helps!
-Benjamin
Evaluate the following expression.
5-3
Answers
subtract 5-3 = 2
check 2+3 =5
Multiply (4+I)(1-5i)
Answers
(4 + i)(1 - 5i)
4 - 20i + i - 5i^2
4 - 19i + 5
9 - 19i
Answer:
9 - 19i
Step-by-step explanation:
I dont understamd this problem please help------!
A work crew has a new pump and an old pump. The new pump can fill a tank in 5 hours, and the old pump can fill the same tank in 7 hours. Write and solve and equation for the time it will take both pumps to fill one tank of the pumps are used together.
Answers
Let's [tex]D_1\ the \ outflow\ of\ the\ new\ pump\\ D_2\ the \ outflow\ of\ the\ old\ pump\\\\ V \ the\ volume \of\ the\ tank\\\\ D_1*5=V==\ \textgreater \ D_1= \dfrac{V}{5} \\ D_2*7=V==\ \textgreater \ D_2= \dfrac{V}{7} \\ D_1+D_2= \dfrac{V}{5}+ \dfrac{V}{7} \\ D_1+D_2= \dfrac{7*V}{35}+ \dfrac{5*V}{35} \\ D_1+D_2= \dfrac{12V}{35} \\ Time \ for \ the \2 \pumps=V=(D_1+D_2)*\dfrac{35}{12}==>2H55min[/tex]
Write the relatioship between the values of the given digits
The 6s in 6,600
Answers
6000 + 600 + 00 + 0
thousands, hundreds, tens, zero
hope this helps
which of the following is an example of a common topic.
A) anyone can be brave.
B) freedom takes sacrifice.
C) the box was broken.
D) bravery.
Answers
Answer:
D. Bravery
Step-by-step explanation:
Bravery is a general topic.
(14y) exponent of 4 simplify plz help