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Related Questions
Triangle cde maps to triangle lmn with the transformation (x,y) —> (x+3,y-2) —> (2/3x, 2/3y)
Of cd =9 what is lm?
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The value of LM = 6.
Let's break down the given transformations for each point:
1. Original point: [tex]\( (x, y) \)[/tex]
2. First transformation: [tex]\( (x+3, y-2) \)[/tex]
3. Second transformation: [tex]\( \left(\frac{2}{3}(x+3)[/tex], [tex]\frac{2}{3}(y-2)\right) \)[/tex]
Now, if CD = 9 in the original triangle, LM can be found using the scale factor of [tex]\( \frac{2}{3} \)[/tex], as the second transformation involves scaling by [tex]\( \frac{2}{3} \)[/tex].
[tex]\[ LM = \frac{2}{3} \times CD \]\\LM = \frac{2}{3} \times 9 \]\\LM = 6 \][/tex]
Therefore, LM = 6.
The distance between two cities on a map is 13 cm. What is the actual distance between the cities if the map is drawn at a scale of 1:50,000?
Answers
Answer:
6.5
Step-by-step explanation:
I swear it is. Just trust me!
Dilation ( effects of changing dimensions on perimeter and area)
A company that makes square tiles would like to make a square tile that has 4 times the area of their smaller tiles. if their smaller tiles have a perimeter of 16 inches. What will be the perimeter of their larger tile?
A- 8 in.
B- 32 in.
C- 64 in.
D- 256 in.
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To make a tile with four times the area, the side length of the square is doubled. Thus, the perimeter of the larger tile, which is four times the side length, will be 32 inches.
Explanation:The student is asked to determine the perimeter of a larger square tile if the company wishes to increase the area by 4 times, using a smaller square tile with a perimeter of 16 inches as a reference. The side of the smaller square tile can be calculated by taking the perimeter and dividing it by 4, which equals 4 inches. If we want a square with 4 times the area, it means that each side is doubled, therefore the length of the side of the larger square is 2 x 4 = 8 inches. To find the perimeter of the larger square, we multiply the side length by 4 (since a square has four equal sides), i.e., 8 x 4 = 32 inches. Therefore the perimeter of the larger tile will be 32 inches.
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Help please........................
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(0,0) does not change with the rotation, nor does it change with the dilation.
(2,0) will become (-2,0) with the rotation and (-6,0) with the dilation.
(0,4) goes right around to the - y axis. It become (0,-4) with the rotation. and (0,3*-4) = (0,-12) with the dilation.
There is no way that these triangles are congruent. I could have said that right at the very beginning. But there is a way that they are similar. The angles between them remain unaltered. You can test that out with (0,4) to (0,0) to (2,0) which is a right angle (labeled CAB). No matter what you have done in these two steps, that right angle remains. Dilation other than a dilation of 1 will not produce congruence.
B . <<<< Answer.
Simplify ten to the sixth divided by ten to the negative third.
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6 - (-3) = 9
The answer is [tex]10^9[/tex].
10⁶ = 10 × 10 × 10 × 10 × 10 × 10 = 1,000,000
10⁻³ = 1/1000 = 0.001
1,000,000 / 0.001 = 1,000,000,000
Answer = 1,000,000,000 = 10⁹
~Hope this helped~
Mark earns $135 for selling a $1,500 refrigerator. Which sale listed has the same commission rate? A) $36 commission on a $400 dryer sale B) $40 commission on a $500 dryer sale Eliminate C) $210 commission on a $1,400 oven sale D) $30 commission on a $600 freezer sale
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$36 commission on a $400 dryer sale. Then the commission rate will be 0.09. Then the correct option is A.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Mark procures $135 for selling a $1,500 fridge.
The commission rate remains constant. Then the commission rate is given as,
Commission rate = 135 / 1500
Commission rate = 0.09
Let's check all the options, then we have
A) $36 commission on a $400 dryer sale. Then the commission rate is given as,
Commission rate = 36 / 400
Commission rate = 0.09
$36 commission on a $400 dryer sale. Then the commission rate will be 0.09. Then the correct option is A.
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Kenji invests $3,500 at an interest rate of 3%, compounded monthly. How much is the investment worth at the end of 5 years?
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3500(1.0025)^60
The answer is:
$4,065.66 or $4,066
Hope this helps :)
Answer is $4,065.66
Compound Interest:
A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
(Given),
P = $3,500
r = 3% = 3/100 = 0.03
n = 12 (As there are 12 months in a year)
t = 5 years
=> 3,500 x [tex](1+\frac{0.03}{12} )^{12 X 5}[/tex]
=> 3,500 x (1.161616)
=> $4065.658 = $4065.66
So, The answer is $4065.66
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HURRY PLZ!!!!!!!!!!!The cafeteria uses rectangular trays with a raised edge around them. The area of the flat surface of each tray is 228 and its length is 19 inches. What is the perimeter of the tray, where the raised edge is? To find the width, use the formula , where w represents the width, A represents the area and l represents the length. To determine the perimeter, use the formula , where P represents the perimeter, l represents the length, and w represents the width
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2*(19+228/19)=62
Hope this helps!
Answer:
62 inches
Step-by-step explanation:
plz mark brainliest
Jason ran 325 meters farther than Kim.Kim ran 4.2 kilometers.How many meters did Jason run?Estimate to check your answer
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Jason 4200+325=4525 m Jason ran
4.2km = 4.2 x 1000 = 4200m
Jason ran 325m farther than Kim
⇒ 4200 + 325 = 4525m
Answer: Jason ran 4525m
How is the expression (5 + y) ⋅8 described by its factors and terms?
It has two factors and the factor (5 + y) has one term.
It has three factors and the factor (5 + y) has one term.
It has three factors and the factor (5 + y) has two terms.
It has two factors and the factor (5 + y) has two terms.
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It has two factors and the factor (5+y) has two terms
=========================================================
Explanation:
(5+y)*8 is in the form P*Q where
P = 5+y
Q = 8
So we have two factors multiplied together. A factor is simply a number that helps multiply to a larger one. Another example: 14 has the factors 7 and 2 because 7*2 = 14
The factor 5+y has two terms which are 5 and y. The terms are separated by a plus sign. If you had something like 5-y, then you can write it as 5+(-y) and you'd still have two terms.
Answer:
D It has two factors and the factor (5 + y) has two terms
Step-by-step explanation:
Did the test
Hope you have a wonderful day :)
Good luck on your test :D
just answer no need to explain lol
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C. Shifted upwards by 28 units
The explanation is shown below:
1. The problem gives you the following linear function:
f(x)=ax+b
Where a is the slope and b is the y-intercept
2. When you graph that linear function, you obtain a line.
3. Therefore, if b (y-incercept) increases 28,000; the line will shifted 28 units upwards.
4. As you can see, the correct answer is the option mentioned above.
Addition of $28,000 means, we are adding 28 to the given function. Addition/Subtraction of a number to the function brings only vertical shift not the horizontal shift.
Addition bring upward shift and Subtraction brings downward shift. So, increase of $28,000 will bring an upward shift of 28 units.
So, the correct answer is option C
PLEASE HURRY, I NEED THE ANSWERS!!
1. The surface area of a box is 627in, what is the surface area if it is scaled by a factor of ten? (Show work)
2. The volume of the box is 720in, what is the volume of the box if it is scaled by 1/10? (Show work)
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Rewrite this function in the form that reveals the minimum of the function.
c(p)=p^2-28p+250
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c(p)=p^2-28p+250
The minimum value of the function is at the derivative of c'(p)
thus from the function given:
c(p)=p^2-28p+250
c'(p)=2p-28
Thus the minimum function is c'(p)=2p-28
A farmer was dividing up his one third of an acre of land between his 5 children. Since each child got the same amount of land, what fraction of the acre did each get
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Which expression is equivalent to 6p + 6p?
A. 12p
B. 36p
C. 12 + 2p
D. p6
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6p + 6p = 12p
The answer is A)12p
Hope this helps!
Answer:
12p
Step-by-step explanation:
cause 6p+6p= 12p
can someone help me find the volume of these?
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V = (1/2) * (b) * (h) * (H)
Where,
b: base of the triangle
h: triangle height
H: prism height
Substituting:
V = (1/2) * (9) * (12) * (19)
V = 1026 cm ^ 3
The volume of the cylinder is:
V = (pi) * (r ^ 2) * (h)
Where,
r: radio
h: height
Substituting:
V = (3.14) * ((14/2) ^ 2) * (11)
V = 1692.46 yd^3
Can someone help me find the volume
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The larger leg of a right triangle is 3 cm longer than its smaller leg. The hypotenuse is 6 cm longer than the smaller leg. How many centimeters long is the smaller leg?
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To find the length of the smaller leg of the right triangle, we can use the Pythagorean theorem and solve the equation.
Explanation:Let x be the length of the smaller leg of the right triangle. The larger leg is 3 cm longer, so its length is x + 3. The hypotenuse is 6 cm longer, so its length is x + 6.
According to the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides, we have the equation: x^2 + (x + 3)^2 = (x + 6)^2.
Solving this equation will give us the value of x, which is the length of the smaller leg.
Stevens family traveled 240 miles in 4 hours. What was there average speed in miles per hour?
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Answer:
60mph
Step-by-step explanation:
divide 240 by 4 it's easy that's
how I solve these types of questions so keep that in mind.
There are 60 office suites in a downtown building. For how many office suites does company C service the computers? -Company A services the computers at 1/3 of the office suites -Company B services the computers at 2/5 of the office suites
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Company A services 1/3 of the suites and Company B services 2/5; together they service 1/3+2/5. Find a common denominator; 15 is the smallest:
1/3=5/15
2/5=6/15
5/15+6/15 = 11/15
This means that 1-11/15 = 4/15 of the suites are serviced by Company C.
4/15 of 60 = 4/15(60) = 4/15(60/1) = 240/15 = 16
Answer:
16
Step-by-step explanation:
lcm of (x-2)(x+3) and 10(x+3)^2
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(x - 2)(x + 3) 10(x + 3)(x + 3)
Common: (x + 3)
Leftover: (x - 2), (10), (x + 3)
Common · Leftover is: (x + 3) · (x - 2) · (10) · (x + 3) = 10(x - 2)(x + 3)²
Answer: LCM is 10(x - 2)(x + 3)²
Point Q is located at (-4, 6) Point R is located at (8, 6) What is the distance from point Q to point R?
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↓
[tex] \sqrt{ 12^{2}+ 0^{2} } [/tex]
↓
[tex] \sqrt{144+0} [/tex]
↓
[tex] \sqrt{144} [/tex]
↓
12
The distance between Points [tex]Q[/tex] and [tex]R[/tex] is 12 units.
Have a nice day!
The distance from point Q to point R is 12 units.
The given coordinates are Q(-4, 6) and R(8, 6).
We need to find what is the distance from point Q to point R.
What is the formula to find the distance between two points?The formula to find the distance between the two points is usually given by d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on a coordinate plane or x-y plane.
Now, using the distance formula, we get
Distance=√(8+4)²+(6-6)²
=√144=12 units
Hence, the distance from point Q to point R is 12 units.
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For questions 1 and two find the volume of the given prism. Round to the nearest tenth if necessary.
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The volume of the rectangular and triangular prisms are 269.3 cubic centimeters and 1756.3 cubic yards respectively
How to calculate the volume of the prism?The formula for calculating the volume of a prism is given as;
V = lwh
l is the length
w is the width
h is the height
1) The volume of the prism is expressed as;
V = 12.1 * 5.3 * 4.2
V = 269.3 cubic centimeters
2) Volume of the triangular based prism = BH
Base area = 1/2(13)(13)sin60
Base area = 84.5(0.8660)
Base area = 73.177 square yard
Height H = 24 yards
Volume of the prism = 24 * 73.177
Volume of the prism = 1756.3 cubic yards
Hence the volume of the rectangular and triangular prisms are 269.3 cubic centimeters and 1756.3 cubic yards respectively
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what is 50,003,087 in expanded form
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This is the answer^
help plz 5 points! plzz
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5. 1/2 gallon ---- 64 f. ounces, 1/2*2 gallon ---- 64*2 f. ounces,
1 gallon -128 oz
160 *8=1280 oz in 160 glasses
1280 oz*1 gallon/128 oz =10 gallons
The graph below displays the wrist circumferences and heights of six students in Alyssa’s classroom.
Is the height of these students a function of their wrist circumference?
A(Yes because as wrist circumference increases height also increases
B(Yes because a line can be fit to these data to predict other pairings.
C(No because the height of 151 cm is paired with two wrist circumferences.
D(No because the wrist circumference of 16 cm is paired with two heights.
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Answer:
Option D(No because the wrist circumference of 16 cm is paired with two heights.
Step-by-step explanation:
In the given graph we have set of points representing the wrist circumferences and heights of six students in Alyssa’s classroom.
x axis represents the wrist circumference while y axis represent the height.
Any relation is called a function if for one value of x we have only one value of y. If the graph passes the vertical line test that is if a vertical line drawn touches the graph at only one point then the graph is called a function.In the given graph for x value x=16 there are two y values 162 and 165.So the graph is not a function.
Among all the options Option D(No because the wrist circumference of 16 cm is paired with two heights.) is the right answer.
I dont know how to set it up. #20 solving equations with variables on both sides.
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1) Cost = 5x + 60
2) Cost = 11x
Where x is the number of lessons.
Since we want to find the value of x (the number of lessons), we can set both equations equal to each other:
5x + 60 = 11x
Subtract 5x from both sides:
60 = 6x
Divide by 6:
x = 10
So it will take 10 lessons till a member and a nonmember pay the same amount.
Samantha’s college runs on a trimester schedule so she receives a bill 3 times a year for tuition. Each trimester costs $1,450, and Samantha must complete 2 years of college to receive her degree. The average cost for books each trimester is $350. Approximately what will be the total cost for Samantha to get her degree?
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You have that:
- Samantha receives a bill 3 times a year for tuition:
3 times a year=3 trimeters=9 months
- Samantha must complete 2 years of college to receive her degree:
3 trimetersx2=6 trimesters
- Each trimester costs $1,450 and the average cost for books each trimester is $350:
Total cost=(6 trimeters)($1,450)+(6 trimeters)($350)
Total cost=$10,800
Answer:
$10,800
Step-by-step explanation:
bill: $1,450
She's billed 3 times a year: 1,450x3= $4,350
She,s going to college for 2 years: 4,350x2= $8,700
$8,700 total for the classes itself
Books: $350
She has to buy books for each trimester: 350 x 3 = 1,050
She attends school for 2 years: 1,050 x 2 = 2,100
Total tuition plus the cost of books is $8,700 + $2,100 = $10,800
total cost for degree: $10,800
PLEASE HELP???!!!!!
A diagonal shortcut across a rectangular lot is 130 feet long. The lot is 50 feet long. What is the other dimension of the lot
Answers
130^2 = side^2 +50^2
side ^ 2 = 16,900 -2,500
side ^ 2 = 14,400
side = square root (14,400)
side = 120 feet
what is the standard form
[tex]f(x) = (2x - 1)(x - 5)[/tex]
Answers
[tex]f(x)=(2x-1)(x-5)\\\\\text{Use: (a + b)(c + d) = ac + ad + bc + bd}\\\\f(x)=2x\cdot x-2x\cdot5-1\cdot x-1\cdot(-5)\\\\=f(x)=2x^2-10x-x+5\\\\\boxed{f(x)=x^2-11x+5}[/tex]