Given:
A dilation with scale factor 2 maps triangle RST to triangle R'S'T'.
The perimeter of triangle RST is 60 units.
To find:
The perimeter of triangle R'S'T'.
Solution:
We know that the dilated figure is similar to the given figure.
The scale factor is 2. It means the side length of the dilated figure is twice then the original figure. So, the ratio of side of original figure to side of dilated figure is 1:2.
Let the perimeter of triangle R'S'T' be x.
The ratio of perimeters of similar figure is equal to the ratio of the corresponding sides of similar figures.
[tex]\dfrac{\text{Perimeter of }RST}{\text{Perimeter of }R'S'T'}=\dfrac{1}{2}[/tex]
[tex]\dfrac{60}{x}=\dfrac{1}{2}[/tex]
[tex]60\times 2=1\times x[/tex]
[tex]120=x[/tex]
Therefore, the perimeter of triangle R'S'T' is 120.
I HELP NEED ASAP PLZ HELP ME
Sally deposited $25000 into Bank A for 2 years at5% per annum. After the 2 years ,she withdrew her all her money from that bank and deposited all into Bank B for 3 years at 7%per annum. How much money did she have in Bank B after the 3 years ?
Answer:
$525
Step-by-step explanation:
25000×5%×2years/100=$2500
2) 2500×7%×3years/100=$525
A caterer is preparing a dinner for a party. Shecharges an initial fee of $16 and $8.25 per person. How manypeople can attend a dinner that costs $131. 50? Write an equationand solve.
Answer:
The nomber of people can attend a dinner that costs $131. 50 is 14.
Step-by-step explanation:
With the information provided, it can be said that the total cost of a dinner would be equal to the initial fee plus the result of multiplying the price per person for the number of people, which can be expressed as:
c=16+8.25x, where:
c is the total cost of he dinner
x is the number of people
Now, you can replace c with 131.50 that is the cost of a dinner and solve for x to find the number of people that can attend:
131.50=16+8.25x
131.50-16=8.25x
115.50=8.25x
x=115.50/8.25
x=14
According to this, the answer is that the nomber of people can attend a dinner that costs $131.50 is 14.
multiply out and simplify (x+5)(x-1)
Answer:
x^2+4-5
Step-by-step explanation:
the first box multiply the next box
x^2-1x+5x-5
x^2+4x-5
Hi! Let's get solving. :D
Okay.. This is a double bracket, so use the '' Waves '' method to expand the bracket. I don't mean to be lazy, but it's kinda hard to explain the working here, so here's a brilliant video that explains this method:
https://youtu.be/Dvo1Q-yBBhk
(Cognito is a brilliant source for KS3, KS4 revision!)
Answer:
X^2+4−5
Stay safe! :)
Note: I'm not a maths expert, please double check your answer.
if AD = 5x + 3, TD = x + 27, what is AD?
The question is incomplete, but if we assume that you mean AD = TD , we have :
AD = TD ===》 5x + 3 = x + 27
===》 4x = 24
===》 x = 6
_________________________________
AD = 5 × ( 6 ) + 3
AD = 30 + 3
AD = 33
Victoria earns $255 by working 20 hours each week
babysitting. Victoria earns $2.90 more per hour than
her friend, Tanaja. How much does Tanaja make in 10
hours?
What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?
Answer:
m= -1/3
Step-by-step explanation:
(-1, 2) and (-4, 3)
Slope:
m=(y2-y1)/(x2-x1)
m=(3-2)/(-4+1)
m=1/(-3)
m= -1/3
A compass has a diameter of 22 cm. Which of the following is the area of the compass rounded to the nearest tenth
Answer:
380cm
Step-by-step explanation:
Answer:
]]][
Step-by-step explanation:
A system of equations is shown below. y=-x+3 y=3-/2 Does the ordered pair (-4, 6) satisfy the system? Justify your answer.
Answer:
(2.5, 5.5)
Step-by-step explanation:
The system of equation is not well written
Let the system of equations be;
y = x+3
y = 3x - 2
Equate both expressions to get x;
x + 3 = 3x - 2
x - 3x = -2-3
-2x = -5
x = 5/2
x = 2.5
Get the value of y;
y = x+3
y = 2.5+3
y = 5.5
Hence the required coordinate point is (2.5, 5.5)
Note that the second equation was assumed but the same steps can be taken to solve the given equation
A store sold 570 bicycles last year. This year the store sold 650 bicycles. What is the approximate percent increase in the number of bicycles sold last year to this year. A. 12% B. 40% C. 78% D. 88%
if f(x) = 2x -3 what is the value of f(x) when x is -5?
Answer:
-13
Step-by-step explanation:
To find the value of f(x) when x is -5, substitute -5 for the x in the equation. Then, simplify:
[tex]f(x) = 2x-3\\\\f(-5) = 2(-5)-3\\f(-5) = -10-3\\f(-5) = -13[/tex]
So, when x is -5, the value of f(x) will be -13.
i
MODELING REAL LIFE You borrow $1300 to buy a telescope. What is the monthly payment?
11.8% Simple Interest
Equal monthly
payments for 2 years
Answer:
b
Step-by-step explanation:
A bag contains 4 red marbles, 2 blue marbles, and 1 green marble. What is the probability of not picking a red
marble?
Answer:
3/7
Step-by-step explanation:
answer asap pls no wrong answers
Answer:
y=-3
So it is not a function because it doesn't have a decency on x or y
Answer:
7
Step-by-step explanation:
b,7
PLEASE HELP ASAP THANK YOUUUU
Answer:
972π m³
Step-by-step explanation:
given
in a sphere
radius (r) = 9 m
Volume (V ) = ?
so we know
The formula for the volume of a sphere is V = 4/3 πr³.
now
V = 4/ 3 * π * 9³
V = 972π m³
hope it helps :)
Answer:
972pi
Step-by-step explanation:
4/3(pi)r^3
4/3(pi)(9)^3
972(pi)
hope this helps!
Need help! Not good at solving math
Answer:
41
Step-by-step explanation:
Erase the line in the middle and it's a right angle, which is 90 degrees, therefore if you subtract 49 from 90 you get 41, the missing angle.
What is 15 percent of 30?
Answer:
4.5
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
3/20 * 30 = 90/20 = 4.5
Please, i need help with letter B
Answer:
58
Step-by-step explanation:
6*8+2*2+3*2=58
At the local store, the cost of 1 pair of jeans is $24 and the cost of 3 pairs is $24 × 3 = $72. At the online store, the cost of 2 pairs of jeans is ($22 × 2) + $6 = $50 and the cost of 3 pairs is ($22 × 3) + $6 = $72.
Complete question :
Complete the tables to relate the numbers of pairs of jeans to the cost of the jeans at each store. Assume that Tim is placing a single order, and
ignore any taxes.
Answer:
$24, $72
$50
Step-by-step explanation:
From the table :
At local store :
2 pair of jeans cost $48
Cost of a pair :
Cost of 2 pairs / number of pairs
$48 / 2 = $24
Cost of 3 pairs :
Cost per pair * number of pairs :
$24 * 3 = $72
At online store :
Cost of Jean include a fixed fee of $6
Cost of one pair of Jean = $28
Actual cost of Jean :
$28 - $6 = $22
Hence, cost of 2 pair of jeans:
($22*2) + $6
$44 + $6 = $50
The figure shows two intersecting lines and measures of the resulting angles.
ول
(3x - 8)°
(2x +12)°
What are the values of x and y?
Answer:
hiiiiiiiii
burrgerry.com
If the circumference of a circle is
21.98 feet, what is the diameter of
the circle?
Use 3.14 for pi
Answer:
diameter = 7 feet
Step-by-step explanation:
Circumference of the circle = pi x d
21.98 = 3.14 x d
d = 21.98/3.14
d = 7 feet
Please help me with this
Answer:
Find the side lengths of a triangle
Step-by-step explanation:
A ball shaped like a sphere has a radius of 2.7 centimeters. Which measurement is closest to
the volume of the ball in cubic centimeters?
A 46.38 cm
B 33.93 cm
C 122.15 cm
D 82.45 cm
Answer:
D) 82.45 cm
Step-by-step explanation:
PLS HELP!! URGENT!!!
what is g(x)?
a- g(x)=-x^2
b- g(x)=-lxl
c- g(x)=-2^x
d- g(x)=-x
Answer:
g(x) = -2^x
Step-by-step explanation:
This is an exponential function from the looks of the value for x as it decreases toward the negative value (increase in the absolute value calculation) y is constricted from its vigorous values down to the fractional components of an equation of the standard appearance of y = C^x. For this, try some values. x = 1 y = 2, x = 2 y = 4. There is a trend that is established through these points, and g(x) = -2^x seems to follow this trend as it is reflect across the x-axis. Enter points, it is confirmed and a graphing calculator further substantiates. Try for yourself!
A triangle has an area of 46 square inches. If the height of the triangle is 10, what is the length of the base?
Sevilla cuts the four corners off a rectangular piece of wood as shown in the diagram.
Answer:
64in2
Step-by-step explanation:
3+8+3=14
4+4=8
14x8=112
3x4=12
12x4=48
112-48=64
Answer:
64 in^2
Step by Step Explanation:
3+8+3=14
4+4=8
14x8=112
3x4=12
12x4=48
112-48=64
a manufacturer is designing a flashlight for the flashlight to admit a focused beam the bull needs to be on the central axis of the parabolic reflector 33 cm from the vertex write an equation that models the parabola formed when a cross section is taken through the reflector Center access assume that the vertex of the parabola is at the origin of the XY coordinate plane in the parabola can open it any direction
Answer:
y= 1/12(x-0)^2+0
this answer works as an upward parabola
Step-by-step explanation:
The formula for a veritcal parabola is y=1/4p(x-h)^2+k(h,k)= coordinates of the vertex of the parabolap= absolute value of the distance from the vertex to the focus/directrixIn this problem, it is given that the vertex is at the origin (0,0) and the focus (the bulb), is 3 centimeters away from the vertex. Now, you know the values of the variables. Fill in the valuesFROM THE FORMULA: 1/4p turns into 1/12 since p is 3.(x-h)^2+k turns into (x-0)^2+0, since h and k where the values of the vertex which was 0,0once all the variables are given values (except x and y) you have made your equation! The answer is y=1/12(x-0)^2+0MARK BRAINLIEST! this took forever, and I know this is the right answer since I got a perfect grade when I turned mine in.
The equation of a parabola and the coordinates of the focus can be
expressed in terms of the coordinate of the vertex and the coefficient of
the quadratic term
The equation that models the parabola formed by taking a cross section
through the Center of the flashlight with focus 33 cm from the vertex is [tex]y \ \mathbf{ = \dfrac{x^2}{132} }[/tex]
The process by which the above equation is arrived at is as follows;
The given parameters of the parabolic reflector are;
The focus of the parabolic cross section of the reflector = 33 cm from the
vertex, along the central axis
The location of the vertex of the parabolic cross section = The origin of the XY coordinate plane = (0, 0)
The vertex form of the equation of a parabola is y = a·(x - h)² + k
Where;
(h, k) = The coordinate of the vertex of the parabola
The coordinate of the focus, f = (h, k + 1/(4·a))
In the given parabola, the vertex (h, k) = (0, 0)
Therefore;
h = 0, and k = 0
The vertex of a parabola is along the central axis, therefore, the equation
of the central axis is the vertical line, x = 0
The x-coordinate of the focus, is therefore, x = 0
From which from the distance of the focus from the vertex = The y-coordinate = 33
The coordinate of the focus is (0, 33)
Equating the above coordinate to the general form of the coordinate of a parabola (opening up or down), gives;
Coordinate of the focus, f = (h, k + 1/(4·a)) = (0, 33)
Therefore;
As above, h = 0
k + 1/(4·a) = 33
From k = 0 obtained above, we get;
0 + 1/(4·a) = 33
a = 1/(4 × 33) = 1/132
a = 1/132
The equation of the parabola is therefore found by plugging in the values
of a, h, and k in the equation, y = a·(x - h)² + k, as follows;
[tex]y = \dfrac{1}{132} \times \left(x - 0\right )^2 + 0 \ \mathbf{ = \dfrac{x^2}{132} }[/tex]
[tex]\therefore \mathbf{The \ equation \ of \ the \ parabola \ is \ y} \mathbf{ = \dfrac{x^2}{132} }[/tex]
Learn more about the equation that models a parabola here:
https://brainly.com/question/10606041
The spinner below is spun. Find the probability that it lands on an odd number, given that it lands on a white space.
The probability that the spinner lands on an odd space given that it lands on the white space is 3/8.
The question is incomplete and the possible question is
The spinner given in the below image is spun. Find the probability that it lands on an odd number, given that it lands on white space.
What is Conditional Probability?The conditional probability of an event B on the hypothesis that another event A has occurred will be denoted by P(B|A) and defined by
P(B|A)=P(AB)/P(A)
provided P(A)≠0.
In case P(A)=0, the conditional probability remains undefined.
How to tackle the problem?The sample space has 16 events, out of which 8 events have white space.
And out of those 8 white spaces, 3 have odd numbers.
White events are 12,14,6,2,10,15,3,9.
White odd events are 3,9,15.
Hence, P(White odd)=3/16
P(White)=8/16=1/2
Thus, the probability that the spinner lands on an odd space given that it lands on the white space
=P(odd | White)
=P(White odd) / P(White)
=(3/16)/(1/2)
=3/8
Hence, the probability that the spinner lands on an odd space given that it lands on the white space is 3/8.
To learn more on probability visit-
brainly.com/question/11234923
#SPJ2
-77w - 49 in expanded form
Answer:
-11w x 7w - 7 x 7
Step-by-step explanation:
The tires on a mining truck are 14 ft tall. Which measurement is it (diameter, radius, or circumference)
Answer:
this is quite easy. if the tire is 14 ft. tall, that would mean the diameter is 14 ft. as well (do to a tire being round). the radius is half of the diameter, meaning the radius is 7 ft. finally, to find the circumference, you would have to multiply pi by 2 (6.28) then multiply this by the radius to make 43.98 ft.
Step-by-step explanation:
D = 14
R = 14/2 = 7
C = 2(pi) x 7 = 6.28 x 7 = 43.98