Answer:
[tex]A' = (-2,2)[/tex]
[tex]B' = (2,2)[/tex]
[tex]C' = (2,-2)[/tex]
Step-by-step explanation:
Given
[tex]A = (-6,6)[/tex]
[tex]B = (6,6)[/tex]
[tex]C = (6,-6)[/tex]
[tex]k = \frac{1}{3}[/tex]
Required
The new coordinates
To do this, we simply multiply the coordinates of [tex]\triangle ABC[/tex] by the factor of dilation.
i.e.:
[tex]A' = A * k[/tex]
[tex]B' = B * k[/tex]
[tex]C' = C * k[/tex]
So, we have:
[tex]A' = (-6,6) * \frac{1}{3}[/tex]
[tex]A' = (-2,2)[/tex]
[tex]B' = (6,6) * \frac{1}{3}[/tex]
[tex]B' = (2,2)[/tex]
[tex]C' = (6,-6) * \frac{1}{3}[/tex]
[tex]C' = (2,-2)[/tex]
The diagram above shows a plan for a park. ABCD is a rectangle.
APB and DQC are semicircles centred at X and Y.
Given AB = 7 cm and AC = 25 cm.
Calculate the perimeter of the park in cm.
Answer:
Perimeter of the park = 70 cm
Step-by-step explanation:
Perimeter of the park = perimeter of the 2 semicircles + 2(length of the rectangle)
Perimeter = 2πr + 2(BC)
✔️Perimeter of the 2 semicircles = 2πr
Where,
radius (r) = ½(AB) = ½(7)
r = 3.5 cm
Perimeter = 2*π*3.5 = 7*π
Perimeter of the two semicircles = 21.9911486 ≈ 22 cm
✔️Find BC using Pythagorean theorem:
Thus,
BC = √(AC² - AB²)
AC = 25
AB = 7
BC = √(25² - 7²) = √576
BC = 24
✔️Perimeter of the park = perimeter of the 2 semicircles + 2(length of the rectangle)
Perimeter of the park = 22 + 2(24)
= 22 + 48
= 70 cm
What is the surface area of the cube, in square inches?
Answer:
The surface area of the cube is 648.96 sq in.
Step-by-step explanation:
This problem is made a lot easier by the fact that it's a cube.
So we first calculate the area of one of the faces. The length of the side of the side is 10.4 inches, and 10.4 * 10.4 = 100.16.
There are six faces, so we multiply the area of 1 face by 6. 100.16 * 6 = 648.96.
Therefore, the surface area of the cube is 648.96 sq inches.
Hope This Helps!
What is 2/3 - (-2/3)?
A) 4/3
B) 4/3
C) 0
D) 2/3
Answer:
Option A, 4/3
Step-by-step explanation:
2/3-(-2/3)
= 2/3+2/3
= (2+2)/3
= 4/3
For a line that contains the point (3, 4) and has a slope of 4, please name another point on this line. Show the work you did to find this answer.
Answer:
y = 4x - 8
Step-by-step explanation:
y = 4x + b
4 = 4(3) + b
4 = 12 + b
-8 = b
Help Fast! I will rate
Answer: The eldest child received $465,000, the middle child received $13,000, and the youngest received $93,000.
Step-by-step explanation: Subtracting $13,000 from $571,09 leaves the youngest and eldest’s money, $558,000. Dividing the amount left by 6 gives you the youngest siblings check and a total of $93,000. To find how much the eldest receives, you subtract $93,000 from $558,000 leaving the eldest $465,000.
HELP ASAP!!
Image point N'(12, -6) was dilated from the pre-image point N(4, -2). What was the scale factor used?
A. 1/3
B. 3
c. 1/4
D. 4
Answer:
Step-by-step explanation:
I'm pretty sure its b
simplify (b^4)^3 because the nun of the answers answer my question
Answer:
b^12
Step-by-step explanation:
(b^4)^3
We know that x^y^z = x^(y*z)
b^4^3 = b^*4*3) = b^12
In a bag there are red, green and purple counters. 3⁄8 of the counters are red, 1⁄6 of the counters are green. What fraction of the counters are purple?
32% of 300 is what number?
Answer: 96
Step-by-step explanation:
This equation helps
X / 100 = is / of
32/100 = X / 300 (cross multiplication)
32 times 300, divided by 100
= 96
Answer:
96
Step-by-step explanation:
every percent is out of hundred so (32 * 300)/100 = 96
Is it ok if you help me solve this?
Answer:
For it to be parallel the answer is B (3)
Answer:
B) 3
Explanation:
If two lines are parallel that means that their equations have the same value of slope.
Place in order in from largest to smallest:
0.204, 0.04, 0.24, 0.42, 0.024
Answer:
0.42, 0.24, 0.204, 0.04, 0.024
Step-by-step explanation:
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option D, 192 m³
Step-by-step explanation:
Volume = base area × height
= (6×8/2)×8
= 192 m³
Can someone help me with this I don't understand find TAN
Answer:
Tan X = 14/48 = 7/24
Answered by GAUTHMATH
Answer:
7/24
Step-by-step explanation:
tan(x) is the ratio of the opposite leg to the adjacent leg. The opposite leg of x's measure is 14, and the adjacent leg to x has a measure of 48. (It's not 50 since 50 is opposite the right angle, meaning that it's the hypotenuse.)
14 / 48 = 7 / 24. Simplest form is 7/24.
Enter the ratio as a fraction: 6ft to 10 inches
Answer:
6 feet to 10 inches
6 ft : 10 inches
There are 12 inches in a foot, so we have:
72 inches : 10 inches
36 inches : 5 inches
36:5
So the ratio is 36/5
Let me know if this helps!
Please help its due in 30 minutes will mark braniliest
Answer:
Point A, B, and C are collinear points.
Step-by-step explanation:
When points lie on one line, meaning all of the points are on the same line --> this is known as collinear points.
how do we know a given number in the radical is whether rational or irrational
number is described as rational if it can be written as a fraction (one integer divided by another integer). A number is irrational if it cannot be written as a fraction. The decimal form of an irrational number does not terminate or recur.
1. You have a 14 pencils. Two pencils are red, 5 pencils are orange, 3 pencils are
green and 4 pencils are brown
f. If a pencil is picked at random, what is the probability that the pencil will be red or green or orange?
g. If a pencil is picked at random, what is the probability that the pencil will
NOT be orange?
'h. If a pencil is picked at random, what is the probability that the pencil will
NOT be blue or red?
Answer:
Step-by-step explanation:
F. 5/7 chance
G. 9/14 chance
H. You did not mention a blue color in the question.
Answer:
g) a) 11/14
f) 9/14
h) 12/14
Step-by-step explanation:
Probability is just the amount of the specified object over the total amount of objects.
Amount of Red : 2
Amount of Orange: 5
Amount of Green: 3
Amount of Brown: 4
Total: 14
*Formula: (Specified Object)/(Total)*
F) Chances of Red or Orange or Green
=(2+5+4)/14
=11/14
G) NOT be orange
*Formula: (Total)-(Specified)/(Total)*
=(14-5)/14
=9/14
H) NOT blue or red
*Formula: (Total)-(Specified)/(Total)*
=14-(2+0) (*There is a 0 there because the question asked to solve for blue pencils as well, and there are 0 blue pencils*)
= 12/14
Graph
y = 3x^2.
Please thanks
Answer:
The image of the graph is below.
Step-by-step explanation:
A new Community Sports Complex is being built in Madision. The perimeter of the rectangular playing field is 324 yards The length of the field is 6 yards less than double the width What are the dimensions of the playing field?
Factor the expression completely.
-20% -40
A. -20(x-2)
B. -10(2x - 10)
C.-20(x + 2)
D. -10(2x + 10)
Answer:
C.-20(X+2)
Step-by-step explanation:
I think you wrote -20% by mistake instead of -20x
is three a solution of z^2 +1=4+3z?
Answer:
no
Step-by-step explanation:
z^2 +1=4+3z
Substitute into the equation and see if it is true
3^2 +1 = 4+3(3)
9+1 = 4+9
10 = 13
This is not a true statement so this is not a solution
HELP FAST Which solution shown bellow contains an error
Answer:
B
Step-by-step explanation:
Four bells at intervals of 12 minutes, 18 minutes, 20 and 25 minutes. If they toll together at 10 am, when next do they toll together again?
Answer:
1.00 am
Step-by-step explanation:
Find the LCM of 12,18,20 and 25
=900 min ....change it to hrs =15 hrs
10.00am___1000hrs
1000hrs+15hrs
=0100hrs
=1:00 am
anyone know the answer?
Answer:
B
Ive had this before
The length of a rectangle is 10 m more than its breadth. If the perimeter of rectangle is 80 m, find the dimensions of the rectangle.
if you like my answer then please mark me as brainliest
HELP PLSSS. Combine these radicals. - 12sqrt(12) - 2sqrt(3) O - 50sqrt(3); - 22sqrt(3); - 26sqrt(3); - 10sqrt(12)
The combined radical is: [tex]- 26\sqrt{3}[/tex]
The radical is given as:
[tex]- 12\sqrt{12} - 2\sqrt{3}[/tex]
We start by expressing 12 as 4 * 3
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4* 3} - 2\sqrt{3}[/tex]
Split the radical
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12\sqrt{4}* \sqrt{3} - 2\sqrt{3}[/tex]
Take square root of 4
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 12*2* \sqrt{3} - 2\sqrt{3}[/tex]
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 24* \sqrt{3} - 2\sqrt{3}[/tex]
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 24\sqrt{3} - 2\sqrt{3}[/tex]
Combine like terms
[tex]- 12\sqrt{12} - 2\sqrt{3} = - 26\sqrt{3}[/tex]
Hence, the combined radical is: [tex]- 26\sqrt{3}[/tex]
Read more about surd radicals at:
https://brainly.com/question/14923091
solve for x. you must show all of your work to receive credit.
Answer:
x = 6
Step-by-step explanation:
The tangent- tangent angle WVU is half the difference of the measure of the intercepted arcs. , that is
5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - (23x - 5) )
5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - 23x + 5)
5x + 17 = [tex]\frac{1}{2}[/tex] (14x + 10) ← multiply both sides by 2 to clear the fraction )
10x + 34 = 14x + 10 ( subtract 14x from both sides )
- 4x + 34 = 10 ( subtract 34 from both sides )
- 4x = - 24 ( divide both sides by - 4 )
x = 6
insert 3 rational no. between 4/13 and 1/13
Answer:
2/13,3/13,4/13....
hope it helps
Answer:
Step-by-step explanation:
4/13=40/130
1/13=10/130
numbers between 10/130 and 40/130 are 11/130,12/130,13,130 ,...,39/130.
we can select any three out of these.
39 3,822 Whats the answer
Answer:
The answer is 98
Step-by-step explanation:
Can I get branly plz and hope this help
c) The GCF and LCM of two numbers are 2 and 70 respectively. If one of the numbers is 10, find the other number? [3m] solution: of too numbers
Their LCM is
70
hope it helps you.
Answer:
Their L.C.M IS
70....
IT IS YOUR ANSWER
