A rectangle has a length that is 9 inches less than twice its width. The area of the rectangle is 180 square inches.
a. Write an equation that represents the situation.
b. Find the length and width of the rectangle.
c. Find the perimeter of the rectangle.
pls help lols
Answer:
Step-by-step explanation:
a) Let the width = w
Two times its width = 2*w = 2w
9 inches less than 2w = 2w - 9
Length = 2w - 9
Area of rectangle = length *width = 180 square inches
(2w - 9 ) * w = 180
2w*w - 9*w = 180
2w² - 9w - 180 = 0
b) sum = -9
Product= -360
Factors = -24 , 15 {15 *[-24] = -360 and 15 + (-24) = -9 }
2w² - 9w - 180 = 0
2w² - 24w + 15w - 180 = 0
2w(w - 12w) + 15(w - 12) = 0
(w -12) (2w + 15) = 0
{Ignore 2w + 15 = 0 as measurements cannot be a -ve value}
w - 12 = 0
w = 12 inches
l = 2w -9
= 2*12 - 9
= 24 - 9
l = 15
length = 15 inches
Width = 12 inches
c) Perimeter = 2 *(length + width)
= 2*(15 + 12)
= 2 * 27
= 54 inches
Find the area of the trapezoid
Answer:
Please the attached file for the answer. I hope that helps
help plsss , question in attachment
What is the volume of the triangular prism below?
Which ratio is equivalent
A. 1/8, 4/32 B. 1/3, 12/45 C. 2/3, 10/18 D. 4/3, 16/9
Answer:
A. 1/8, 4/32
Step-by-step explanation:
We have four pairs of ratios and are asked to find which pair equals the same amount.
To do so, we just need to see what ratio can multiply into both numbers equally into the first pair and forms the second pair.
A. 1/8, 4/32
1
:
8
1 * 4
:
8 * 4
4/32
B. 1/3, 12/45
1
:
3
1 * 12
:
3 * 12
12/36
C. 2/3, 10/18
2
:
3
2 * 5
:
3 * 5
10/15
D. 4/3, 16/9
4
:
3
4 * 4
:
3 * 4
16/12
PLEASE HELP!! ITS JUST PERCENTAGES
Answer:
12a. 22.5%
12b. 77.5%
13. $4000
Step-by-step explanation:
12.
a. 315/1400= 0.225 = 22.5%
b. 1400-315=1085 1885/1400= 0.775 = 77.5%
13.
[tex]\frac{5}{100} = \frac{200}{4000}[/tex]
5/100 will be equal to 200/4000 so the hair stylist made $4000 in sales.
also if im wrong sorry!!
12. Tiger Woods was 4 under par (-4) in the first round. He shot 2 over par (+2) in the second round. He shot the same score in the 3rd and 4th rounds. He finished at 8 under par ( -8). What did he shoot in the 3rd and 4th rounds?
Find the total surface area of the rectangular prism shown.
Joyce goes walking on a track shaped like the solid line in the diagram shown. Find the total area enclosed by the track.
A. 2,956.5 square meters
B. 2,250 square meters
C. 3,309.75 square meters
D. 2,826 square meters
Answer:
A
Step-by-step explanation:
πr^2
π * 15^2 = 706.858347
75 X 30 = 2250
706.858347 + 2250 = 2956.858347
The total area enclosed by the track is 2956.5 square meters
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The given figure has one rectangle and two semicircles
The area of rectangle is length times width
Area = length × width
=75×30
=2250 square metres
Area of circle is πr²/2
=3.14×15²/2
=706.5/2
=353.25
As there are two semicircles = 2×353.25
=706.5
Total area is 2250+706.5 which is 2956.5 square meters
Hence, the total area enclosed by the track is 2956.5 square meters
To learn more on Three dimensional figure click:
https://brainly.com/question/2400003
#SPJ2
The party planner wants to know how many smaller table lengths, 2.5x-3, and widths, x, should be considered in expressing the perimeter. Create an expression that would best reveal these numbers.
with ur solution as an inequality: If 3
Answer:
-3
Step-by-step explanation:
What is the slope of the line shown above?
Answer:
1/5x
Step-by-step explanation:
A grab-bag contains 30 packages worth $.65 each, 10 packages $.60 cents each, and 15 packages worth $.30 each. What is the expected value if you have to pay $.50 to pick one package at random?
A. about -$0.03
B. about $0.11
C. about -$0.11
D. about $0.03
help pls wil give brainllest to right anwser plss
Answer: Its C but I'm not 100 %
Step-by-step explanation:
Pls help.., Match the described transformations of this figure with the figures that result.
Taylor saw sunglasses for $90, that were on sale for 10% off. She had her Employee
Discount card for an extra 10% off the SALE PRICE. How much will Taylor end up
paying?
Answer:
81 dollars
Step-by-step explanation:
Answer: %72 or %81
Step-by-step explanation: If you want to take off 10 percent from 91 the answer should be 81. If you are trying to take off 20 percent the answer should be $72.
Solve the given equation.
w + 23 = 75
Answer: 52
Step-by-step explanation: 75 - 23 = 52, therefore, x = 52
no link need right answer
10 points
Answer:
The answer is B
Step-by-step explanation:
It is B because 34% of 70 is 23.8 and 23.8 rounded up is 24.
Hope this helps you!!!!! :)
What is the value of N in the equation 4 x 3/4= N
helpp please thank you
PLEASE HELP ME OR MY MOMS GOING TO GROUND ME FOR THE SUMMER THIS IS A LATE ASSIGNMENT HELPPPPPPPPPPPP
Find the volume of the composite solid. Write your answer as a decimal.
Answer:
64 times 7
Step-by-step explanation:
Answer:
64 times 7
Step-by-step explanation:
If ur good at double box plots, pls help. Will choose brainliest
Answer:
Part A:
Movie A) The median is greater
Movie B) Ages are more consistent
Step-by-step explanation:
A) Movie A is less variable
53. Find the value of x and y. Round your answer to two decimal places.
Answer:
x=4,90
y=8.66
Step-by-step explanation:
pythagoras thereom:
7²-5²=24
√24=4.90
10²-5²=75
√75=8.66
Which statement is true about a sample created using stratified random sampling?
A) The first member on the list of names in the population is chosen and every 10th after that, cycling through the whole list.
B) Members of the sample are chosen by drawing names from a hat containing the names of all members of the population.
C) Names of all people in the population are alphabetized and then chosen by flipping a coin.
D) Each member of the sample is chosen at random from two or more groups in the population.
Answer:
d
Step-by-step explanation:
because
Answer:
D
Step-by-step explanation:
# carry on learning pipols
draw a new location of the pole barn on the graph below. Note that the stock tank is located at the origin.
Answer:
i think you reflect across the axis
Step-by-step explanation:
i learned this
: )
Ix+3l , if x>5
+15 pts
How many triangles exist with the given angle measurements? 25, 65, 85
Answer:
0
Step-by-step explanation:
There are supposed to be 180 degrees in every triangle.
Therefore, no triangles exist.
Find the area of the parallelogram.
Which is a graph of a proportional relationship?
Determine if this is a fair game:
You play a game with the spinner shown. For every two spins, you earn 2 points for getting either an even-even or an odd-odd, but you lose 1 point for getting one of each.
A. unfair
B. fair