Answer:
The other side was decreased to approximately .89 times its original size, meaning it was reduced by approximately 11%
Step-by-step explanation:
We can start with the basic equation for the area of a rectangle:
l × w = a
And now express the changes described above as an equation, using "p" as the amount that the width is changed:
(l × 1.1) × (w × p) = a × .98
Now let's rearrange both of those equations to solve for a / l. Starting with the first and easiest:
w = a/l
now the second one:
1.1l × wp = 0.98a
wp = 0.98a / 1.1l
1.1 wp / 0.98 = a/l
Now with both of those equalling a/l, we can equate them:
1.1 wp / 0.98 = w
We can then divide both sides by w, eliminating it
1.1wp / 0.98w = w/w
1.1p / 0.98 = 1
And solve for p
1.1p = 0.98
p = 0.98 / 1.1
p ≈ 0.89
So the width is scaled by approximately 89%
We can double check that too. Let's multiply that by the scaled length and see if we get the two percent decrease:
.89 × 1.1 = 0.979
That should be 0.98, and we're close enough. That difference of 1/1000 is due to rounding the 0.98 / 1.1 to .89. The actual result of that fraction is 0.89090909... if we multiply that by 1.1, we get exactly .98.
here are the score that Jenna has received on her seven quizzes 16 13 20 16 12 17 18 what is the mean
Answer:
so you're adding up all the numbers together so 16+13+20+16+12+17+18=112
then you are dividing it by how many numbers there are so there are 7 numbers in total 112÷7=16
Ron made 3 pitchers of lemonade sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade.
He sold each cup of lemonade for 15 cents, and he sold a total of 36 cups of lemonade.
How much money did Ron make selling lemonade after paying out the cost of making the lemonade?
Answer:
Step-by-step explanation:
cost = 3 pitchers × $0.50/pitcher = $1.50
revenue = 36 cups × $0.15/cup = $5.40
profit = $5.40 - $1.50 = $3.90
PLS. HELPPPP I WILL GIVE BRAINLITES
12 What is the slope of this line?
Answer:
positive slope
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
what is the length of PR
Answer:
9
Step-by-step explanation:
This is because 21/7 is 3. So, you use the scale factor of 3 to divide 27/3 to get x which is 9.
If WZ = 23 and XZ = 18, what is YZ?
pls help
Answer:
YZ = 14
Step-by-step explanation:
We are told that;
WZ = 23 and XZ = 18
Now, ∠X in △XWZ which is a right angle triangle can be gotten using trigonometric ratio.
Thus;
WZ/XZ = tan θ
23/18 = tan θ
tan θ = 1.2778
θ = tan^(-1) 1.2778
θ = 51.95°
Now, the ∠X is 90° in △XWY.
Thus, in △XZY, ∠X = 90 - 51.95 = 38.05°
Again, using trigonometric ratio, we can find YZ.
Thus;
YZ/XZ = tan 38.05°
YZ = XZ tan 38.05°
YZ = 18 × 0.7827
YZ = 14.0886
Approximating to a whole number gives: YZ = 14
3. For every 3 cans of vegetables purchased, you get 1 free
can. Tessie went home with 32 cans of vegetables. How
many did she have to pay for?
A 32
B 24
C 16
D 8
Answer:
B.24
Step-by-step explanation:
32 divided by 4
=8
8x3=24 paid cans
36-24=8 free cans
The population of cats in a town increased by 25% from Year 1 to Year 2. The population of cats in Year 2 is 60.
Answer: See explanation
Step-by-step explanation:
Your question isn't complete but I guess that you want to find the population of the cats in Year 1. This will be represented by x. Therefore,
x + (25% × x) = 60
x + (0.25 × x) = 60
x + 0.25x = 60
1.25x = 60
x = 60/1.25
x = 48
The population of cats in year 1 is 48
Does anyone know the correct answer for this!?!!
Answer:
2
Step-by-step explanation:
Use the vertex form equation first since you are given the vertex (-1,-2) where you have (h,k) so h = -1 and k = -2
y = [tex]a (x - -1)^{2}[/tex] + (-2) so if you simplify we get y = a(x+1)^2 -2
Since we are also given a point we can solve for a so x = 2 and y = 16
16 = a(2+1)^2 - 2
16 = a(3)^2 - 2
18 = 9a
a = 2
One third as warm as Florida
True or False: Mutual funds can include a wide variety of industries and sectors of the economy.
Answer:
that's The truth
Step-by-step explanation:
that's more like a trade
what is the value of x in this figure?
23
43
57
80
Answer:
Step-by-step explanation:
Supplement of 123° = 180°-123° = 57°
x = 180-57-80 = 43°
someone plssss helpppp
inter quartile range 20, 10 , 30 ,40 help please
Answer:
The interquartile range is 30
Step-by-step explanation:
Here, we want to get the interquartile range
We start by arranging the numbers in order
10,20,30,40
The first quartile is;
(n + 1)/4 th term = (4+ 1)/4 = 5/4 = 1.25
This is approximately the first term = 10
Q3 is the third quartile
That is;
3(n + 1)/4 = 3(5)/4 = 15/4 =3.75
This is approximately the 4th term = 40
The interquartile range is the difference between the first and third quartile
Mathematically, we have that as;
40 - 10 = 30
Sean invests $1,000 at 6%. How much will he earn interest, if he invest the money for three years?
Answer:
This is your answer. If I'm right so,
Please mark me as brainliest. thanks!!!
Samantha threw an apple out of a window from the tenth floor of her apartment building. The equation y=-16t^2+120y = − 16 t 2 + 120 can be used to represent the fruit's height above the ground, where t represents time, in seconds, after she threw the apple. How long did it take the apple to hit the ground? Round our answer to the nearest hundredth.
Only type in the numerical answer.
Answer:
2.74 Seconds
Step-by-step explanation:
-16t²+120=0
-16t²=-120
t²=7.5
t=2.74
The length of the base of an isosceles triangle is x. The length of a leg is 3x + 2. The perimeter of the triangle is 39. Is there enough information to solve for x? If so, find x. A. Not enough information B. 9 о с. 5 D. 12.5
Answer:
Step-by-step explanation:
2(3x+2) + x = 39
6x+4+x = 39
7x = 35
x = 5
simplify y^3 + 11y^2 - 10y + 6 / y + 2
Answer: used the synthetic division method
y^2+9y-28+(62/y+2)
Step-by-step explanation:
a car crosses a bridge 400 m long at 80km/h. how long does it take to cross the bridge
Answer:
18 seconds
Step-by-step explanation:
convert km/h to m/s and you get 22.22m/s. Then divide 400 by 22.22 and the answer is 18 seconds.
Hopefully this helps! Let me know if you have any questions!
A fireworks rocket is launched from a hill above a lake. The rocket will fall into the lake after
exploding at its maximum height. The rocket's height above the surface of the lake is given by g(x)=
-16x² + 64x + 80. What is the maximum height of the rocket?
Answer:
(2,114)
Step-by-step explanation:
g(x)= -16x² + 64x + 80
Plug 2 in to check if it's correct.
g(2)= -16(2)² + 64(2) + 80
-16(4)+128+80
-64+128+80
= 144
Answer:
144
Step-by-step explanation:
find the area of the figure
Answer:
30
Step-by-step explanation:
First, divide the figure into 2 shapes. A triangle (on the top), and a rectangle (on the bottom).
Find the area of each figure.
Triangle- Base: 9 ft Height: 8 ft
Area = base x height / 2
Area = 9 x 8 / 2
Area = 72 / 2
Area = 36 ft squared
Rectangle- Simple enough: length x width
Area = 9 x 7
Area = 63 ft squared
Add- 36 + 63 = 99 ft squared
Help me with this!!! ( fake answers will be reported)
Answer:
16
Step-by-step explanation:
3x-8=2x
x=8
QR=2*8=16
Please when answering show your full work. Step-by-step process.
1.) Find f(4) for f(x) = 3x - 4
When solving an equation, Henry gets to the
last line of his work and is left with “3 = 3".
What does this mean?
A. The solution is 3.
B. There is only one solution.
C. There is no solution.
D. There are infinite solutions.
Answer:
answer the solution is 3
g(x) = -0.5x^2 + 4x – 2
Answer:
Step-by-step explanation:
What is the question?
g(x) = -0.5x² + 4x - 2 is a down-opening parabola. Do you need to know how to put it in vertex form?
vertex (4,6)
focus (4,5.5)
An aquarium has 14 angel fish, 12
clownfish and 18 seahorses. What is the
ratio of seahorses to total number of fish?
Answer:
18 : 26
Step-by-step explanation:
It is very easy, angel fish and clown fish are fish, so once you add them up you get 26. The seahorses are 18 and we are supposed to make them S:F. Therefore you put the seahorses first and the fish second, so you get the answer 18:26
6
5
21
-2
2
3
Equation:
Answer:
y = 1/2x + 3
Step-by-step explanation:
Rise/Run and since y = 3 when x = 0, then the b part in y = mx + b is 3.
Jacob was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid $20.70 find the percent tip
Charlotte borrows $9000 to buy a second-hand car. The loan must be repaid
over 5 years at 12% p.a. simple interest. Calculate the
total amount to be repaid
Answer:
$13,400
Step-by-step explanation:
Simple Interest = principal × rate × time
principal= $9000
Rate= 12/100=0•12
Time=5years
Simple interest =PRT
= 9000× 0•12 × 5
= 5400
Total amount to be paid = 9000 + 5400
= $13400
help pls !! will mark brainliest !!
Answer:
y = 21
Step-by-step explanation:
(3y-8) = 55 (corresponding angles are equal)
3y-8 = 55 (add 8 from both sides)
3y = 63 (divide 3 from both sides to isolate the y variable)
y = 21 (final answer)
Answer:
y = 21
Step-by-step explanation: