Given:
A rectangle has dimensions 8ft x 12ft.
After dilatation the new dimensions of 32 ft x 48 ft.
To find:
The scale factor of the dilation.
Solution:
We know that,
[tex]\text{Scale factor}=\dfrac{\text{Side length of new figure}}{\text{Corresponding side length of original figure}}[/tex]
Dimensions of original rectangle are 8ft x 12ft and dimensions of the new rectangle are 32 ft x 48 ft. Corresponding side of 8ft is 32 ft and corresponding side of 12 ft is 48 ft.
[tex]\text{Scale factor}=\dfrac{32}{8}[/tex]
[tex]\text{Scale factor}=4[/tex]
Therefore, the scale factor is 4.
You answer 0.8 questions correctly.
a. What percent of the questions did you answer correctly?
you answer 0.8 questions correctly. what percent of the questions did you answer correctly. What fraction of the questions did you answer incorrectly? Use / for fraction and answer
Answer:
Step-by-step explanation:
Fraction:
0.8 = 8/10 = 4/5
Percent:
0.8*100 = 80%
Answer:
Solution :-0.8 can be written as
8/10 and
Percentage = 8/10 × 100
Percentage = 8 × 10
Percentage = 80%
Or,
Simply
Percentage = 0.8 × 100
Percentage = 80%
[tex] \\ [/tex]
Can someone help me with this? I don’t understand it.
Answer:
x+y=z
4+9=13
Step-by-step explanation:
x=4
2(4)+1=y=9
4+9=13
Dakota's Burger Place made 4 burgers with onions and 7 burgers without onions. If they made a total of 132 burgers, how many burgers will have onions?
Answer:
48 burgers with onions
Step-by-step explanation:
7 = 4 = 11 sets of burgers with & without onions
132 / 11 = 12
4 x 12 = 48 burgers with onions
Answer:
48 burgers also onions
Step-by-step explanation:
Ernesto has $70 in a savings account. The interest rate is 5%, compounded annually. To the nearest cent, how much will he have in 3 years?
Answer: $81.03
Step-by-step explanation:
The interest is compounded annually which means that the future value formula applies:
Future value = Amount * ( 1 + rate) ^ number of years
Amount = $70
Rate = 5%
Number of years = 3 years
In 3 years, Ernesto will have:
= 70 * ( 1 + 5%)³
= $81.03
A is the vertex angle, AB=5x-14 and AC=3x+5. Find the length of one of the legs.
Answer:
85
Step-by-step explanation:
The answer is not as follows about this PI PROBLEM:
- 4 equal sides
- 25
-20
Read this not JUST ABOUT AREA BUT FINDING THE AREA USING PI.
Formula for area is :3.14*radius*2
NOT 5*5 or 5*4 I see where you guys went wrong. The next time someone posts an answerthat only deals with normal area for this PI problem then you will be reported. Don't do this for points only please. Thank you for helping me with this PI PROBLEM!!!!!
Answer:19.625
Step-by-step explanation:
Answer: 19.625in^2
Step-by-step explanation:
1. A signal tower has two lights that are 30 feet apart from each other, one directly above the other. From
a boat, the angle of elevation of the lower light is 14 degrees, and the angle of elevation yo the upper
light is measured to be 32 degrees.
a) Find to the nearest foot the distance from the boat to the lower light.
b) The boat and the foot of the tower are in the same horizontal plane. Find to the nearest foot the
distance from the boat to the foot of the tower.
Solution :
It is given that the distance between the two lights is 30 feet.
The angle of elevation of the upper light from the boat, ∠ ABP = 32 degree
The angle of elevation of the lower light from the boat, ∠ ABQ = 14 degree
∴ ∠ PBQ = ∠ ABP - ∠ ABQ
= 32 - 14
= 18 degree
In triangle PAB
∠ PAB = 180 - (90 + 32)
= 58 degree
Similarly in triangle AQB
∠ AQB = 180 - (90 + 14)
= 76 degree
Now considering triangle PBQ and applying the sine theorem,
[tex]$\frac{PQ}{\sin 18}=\frac{BQ}{\sin 58}$[/tex]
we know PQ = 30 feet
∴ [tex]$BQ =\frac{\sin 58}{\sin 18} \times 30$[/tex]
= 82.33 feet
Again taking the right triangle ABQ and applying sine theorem,
[tex]$\frac{BQ}{\sin 90}=\frac{AB}{\sin 76}$[/tex]
[tex]$\frac{82.33}{\sin 90}=\frac{AB}{\sin 76}$[/tex]
∴ [tex]$AB = 82.33 \times \sin 76$[/tex]
= 79.88 ft
= 80 feet
In basketball there are 3 ways to score: a free throw, worth 1 point, two
pointers, worth 2 points, and a three-pointer, worth 3 points. Let x represent
the number of free throws made, let y represent the number of two pointers
made, and let z represent the number of three pointers made. If a team
scores a total of 100 points, which of the equations below could be used to
determine the number of each type of shot that the team made?
a. x + 3y + 2z = 100
b. 2x + 3y + 3z = 100
c. x + y + z = 100
d. x + 2y + 3z = 100
Answer:
D
Step-by-step explanation:
I think it's D. Because you have that free shots give you 1 point so it is 1x or x , then you have two pointers which give you 2 points so it is 2y and you have three pointers which give you 3 points so it is 3z
Answer:
i think B makes more sense
Step-by-step explanation:
If correct I’ll give brainlist
Answer:
c^9 / 4
Step-by-step explanation:
f4f
fendimulatto
juicyminkz
Answer:
....................
Step-by-step explanation:
NiceAnswer:
uu still doing that f4f?
Step-by-step explanation:
What is (-m)-3n if m = 2 and n = -24?
Answer:
70
Step-by-step explanation:
Knowing both values of variables m and n, you could substitute each of the values inside the equation.
=(-(2))-3(-24)
=(-2)+72
=70
Hope it helped! (:
I need helpppp assaaapp!
Answer:
your answer is Option D. ∧ACD≈ ∧BCD because of SAS
Step-by-step explanation:
hope it helps...
The relationships proved to be ΔACD ≈ ΔBCD, because of SAS (Side Angle Side).
What was SAS Theorem?SAS" is when we know two sides and the angle between them. If the two sides of a triangle are equal to the two sides of another triangle, and the angle formed by these sides in the two triangles are equal, then these two triangles are congruent. The SAS Criterion stands for the 'Side-Angle-Side' triangle congruence theorem.
To prove the SAS :-
In ΔACD and ΔBCD
AD=BD (Given)
D=D(Common 90° angle)
CD=CD (Common)
Therefore, ΔACD ≅ ΔBCD, because of SAS (Side Angle Side) rule.
To learn more about SAS, refer here :
https://brainly.com/question/16884384
#SPJ2
6. If f(x) = -2r2 + x-5, what is f(3)?
Answer:
Step-by-step explanation:
Which way does the parabola open for the quadratic
f(x)=-x^2+2x+9f(x)=−[tex]x^{2}[/tex]+2x+9
??? What do you mean???
A ratio is a multiplicative comparison of two quantities expressed with the same units. The numbers in a ratio are called terms. A ratio can be written in several different ways. 5 dogs to 3 cats 5 to 3 5 : 3 5 over 3 Ratios can be written to compare a part to a part, a part to the whole, or the whole to a part. Millie types 28 words in 1 minute. How many words can Millie type in 5 minutes?
Try looking, how many words can she find in 1 minute, then try to calculate how you got that into 5! It's easy if you think about it!
good luck!
-KitKat
Write down the first even multiple of 7
Answer:
14
Step-by-step explanation:
multiples are the list of number that can be multiplied by a certain number.
list the multiples
make a chart
1 × 7 = 7 (odd)
2 × 7 = 14 (even)
the first even multiple is 14 (2×7)
Answer the question above
Answer:
The side is MJ
Step-by-step explanation:
Here, we want to name the side opposite the angle MEJ
The angle MEJ is on the vertex E in the right triangle
The side that faces the vertex E is MJ
Cardinalul mulţimii A={ x IN / x + 2 < 7 } este : a) 3 b) 4 c) 5 d) 6.
Find the length of AB. help asap !!!
Answer:
AB = sqrt 74 = 8.602
Step-by-step explanation:
simple:
a^2+b^2=c^2
5^2+7^2=74
ab=sqrt 74
Formula :
Distance between two points = √(xB−xA)2+(yB−yA)2(xB-xA)2+(yB-yA)2
Solution :
Distance between two points = √(8−3)2+(2−9)2(8-3)2+(2-9)2
= √52+(−7)252+(-7)2
= √25+4925+49
= √7474 = 8.6023
Distance between points (3, 9) and (8, 2) is 8.6023
What is the domain of the function y= 4x+6 - 7?
Domain: (−∞,∞) , {x|x∈R}
explanation:The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.
Interval Notation:
(−∞,∞)
Set-Builder Notation:
{x|x∈R}
i hope this helped. please give brainliest if it did!
Factor x2 + 15x + 50
To receive all 5 points, include the question (+1 point), your work to find the two numbers (+3 points), and the final answer (+1 point).
Step-by-step explanation:
here's your solution
=> x^2 + 15x + 50
=> By using middle term split
=> x^2 + 10x + 5x + 50
=> taking common from each
=> x(x + 10) + 5(x + 10)
=> (x + 5) (x + 10
hope it helps
Whitney has 13 blue envelopes. She has 11 fewer yellow envelopes than blue envelopes. She has 3 times as many green envelopes as yellow envelopes. How many envelopes does Whitney have in all?
A store buys 200 shirts at the cost of 1,600$ and sells them at 10$ . What the percent markup
Answer:
25% markup
Step-by-step explanation:
they bought 200 shirts for 1600, which is 8$ per shirt
if they sell then at 10$ they get 2 dollars profit.
if you do 2/8 you get 25%
Also 1/4 of 8$ is 2$ and that is what your profit is.
Answer:
25%
Step-by-step explanation:
Cost of one short:
1600 : 200 = $8
8 + 8(x/100)= 10
800 + 8x= 1000
8x = 200
x = 25 %
Is a parabola a one-to-one function?
Answer:
no
Step-by-step explanation:
The function f(x)=x2 is not one-to-one because f(2) = f(-2). Its graph is a parabola, and many horizontal lines cut the parabola twice. The function f(x)=x 3, on the other hand, IS one-to-one. If two real numbers have the same cube, they are equal.
Which equation represents a line which is parallel to the line y = -4/5x + 8?
4x + 5y = -15
5y - 4x = -35
5x + 4y = 16
5x - 4y = -32
Answer:
id k i got 4x + 5y=40
Step-by-step explanation:
What percentage of the data is less than 11?
Answer:
11
Step-by-step explanation:
Nothing for can be done with it!
Hello can someone please tell me if I did this right please
Answer:
A. 3
B. 5
C. 1
D. 2
E. 4
Step-by-step explanation:
one way to quickly check your answers is to check for the number lines with a blank hole and one with a coloured in hole. the one with a coloured in hole should be x=<y. the ones with a blank hole should be x<y. (this trick will not completely check for every mistake.)
please help me as quickly as possible, no links or scams, brainliest on the line!!
Lin ran 29 meters in 10 seconds. She ran at a constant speed.
How far did Lin run every second?
At this rate, how far can she run in 1 minute?
Answer:
Lin ran at 2.9 meters per second. She can run 174 meters in a minute (2.9 times 60)
Step-by-step explanation:
If she can run 2.9 meters in a second then when you times that by four you get how far she can run in a minute
During a 12-hour period, the temperature dropped 48°. How many degrees did the temperature drop each hour?
1) -576 degrees
2) 4 degrees
3) 576 degrees
4) -4 degrees
Answer:
4degree
Step-by-step explanation:
Just divide 48 by 12 so as to get the temperature dropped in each hour
Find the number of ways you can arrange (a) all of the letters and (b) two of the letters in the word TRY. a. The number of ways you can arrange all of the letters in the word is __. b. The number of ways you can arrange two is the letters in the word is __.
Answer:
a) 6 ways
b) 6 ways
Step-by-step explanation:
a) for all of the letters
for the first letter, we have 3 options
for the second, we have 2 options
for the third, we have 1 option
So the number of options will be;
3 * 2 * 1 = 6
b) for the first, we have 3 options, for the second, we have 2 options
so the number of options will be 3 * 2 = 6 options