The upper-left coordinates on a rectangle are (-1, 7), and the upper-right coordinates are (4,7). The rectangle has an area of 20 square units. Draw the rectangle on the coordinate plane below.
Answers
Answer:
The answer is below
Step-by-step explanation:
The distance between the upper left coordinate and the upper right coordinate is the length of the rectangle. Hence:
[tex]length=\sqrt{(4-(-1))^2+(7-7)^2} =5\ units\\[/tex]
Area = length * breadth
20 = 5 * breadth
breadth = 4 units
The bottom left coordinate would have the same x coordinate as the upper left coordinate. Hence, bottom left coordinate = (-1, y₁)
The distance between the upper left coordinate and the bottom left coordinate is the breadth of the rectangle. Hence:
[tex]breadth=\sqrt{(-1-(-1))^2+(y_1-7)^2} =4\ units\\\\ y_1-7=\pm 4\\\\y_1=4+7=11\ \ or\ y_1=-4+7=3[/tex]
Since it is at the bottom, hence y₁ = 3. Hence bottom left coordinate = (-1, 3)
Bottom right coordinate has same y coordinate as bottom left coordinate and same x coordinate as upper right. Hence bottom right coordinate = (4, 3)
Related Questions
Pam ordered a circular hot tub cover with a diameter of 80 inches. Find the area of the hot tub cover.
Answers
Answer:
5026.55in²
Step-by-step explanation:
Area = πr^2
radius (r) is half of the diameter, hence the radius is 40 inches
So after plugging that in, the equation should look like
Area = π(40)^2
A = 1600π ≈ 5026.55
The units for this is in² so just add that in the end
Someone please help me
Answers
Answer:
1 read any graph left to right if up positive if down negative
Answer: 1
Step-by-step explanation:
we choice two points to find the slopes.
(0,-5) and (2,-3)
[tex]slope=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\\=\frac{-3-(-5)}{2-0}\\=\frac{2}{2}\\ \\=1[/tex]
James works at a shop and earns 5.5% commission on his sales. Last month, he earned $265.32 in commission. Calculate his sales for the month.
Answers
Answer:
$14.59
Step-by-step explanation:
commision percentage is 5.5, and total sales is $265.32 so the answer is $14.59.
Help me please is this right
Answers
Green Frog convenience store supplies two types of protein bars. One protein bar has 320 calories in the 2-ounce size. How many calories are in the 3-ounce size of the bar?
320
213
480
620
Answers
Answer:
I think it is C) 480
Step-by-step explanation:
320÷2=160
160×3=480
Can I please have Brainliest?
There are 480 calories are in the 3-ounce size of the bar.
What is mean by Multiplication?Multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
Green Frog convenience store supplies two types of protein bars.
And, One protein bar has 320 calories in the 2-ounce size.
Now,
For 1 ounce size, calories in One protein bar = 320 / 2
= 160
Hence, We get;
For 3 ounce size, calories in One protein bar = 160 x 3
= 480
Thus, There are 480 calories are in the 3-ounce size of the bar.
Learn more about the multiplication visit:
https://brainly.com/question/10873737
#SPJ3
It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees.
Answers
Complete question :
It takes 313131 employees and \$7500$7500dollar sign, 7500 to build a car, and it takes 191919 employees and \$4300$4300dollar sign, 4300 to build a motorcycle. Genghis Motors wants to spend more than \$84000$84000dollar sign, 84000 to build cars and motorbikes using at most 706706706 employees. Let CCC denote the number of cars they build and MMM the number of motorbikes they build. Write an inequality that represents the condition based on the number of employees. Write an inequality that represents the condition based on the number of dollars.
Answer:
31C + 19M ≤ 706
7500C + 4300M > 84000
Step-by-step explanation:
C = number of cars built
M = number of motorcycles built
Cost of building a car :
Cost = 31 + $7500
Cost of building a motorcycle,:
Cost = 19 + 4300
To build, C cars :
Number of employees = 31C
7500 * C = 7500C
To build, M motorcycles :
Number of employees = 19M
4300 * M = 4300M
Genghis budget :
Amount > 84000
Number of employees ≤ 706
Hence, the constraints
31C + 19M ≤ 706
7500C + 4300M > 84000
answer (2 + 2) - 4 + 2
Answers
Answer:
The answer is 2
Step-by-step explanation:
[tex](2 + 2) - 4 + 2[/tex]
Start by solving what inside the parentheses
[tex]4 - 4 + 2[/tex]
Solve the addition
[tex]0 + 2 \\ 2[/tex]
One seventh of a number is 12.
What is the number?
Answers
Answer:
84
Step-by-step explanation:
12 x 7 = 84
Answer:
84
Step-by-step explanation:
12÷ 1/7=84
Azmyne decided to spend 6 1/2 hours studying over the weekend. She spent 1 1/4 hours studying on Friday evening and 2 2/3 hours on Saturday. How much longer does she need to spend studying on Sunday in order to reach her goal?
Answers
Answer: [tex]2\ \dfrac{7}{12}\ \text{hours}[/tex]
Step-by-step explanation:
Given
Azmyne decided to study a total of [tex]6\ \frac{1}{2}\ hours[/tex]
She spent [tex]1\ \frac{1}{4}\ hours[/tex] on Friday and [tex]2\ \frac{2}{3}\ hours[/tex] on Saturday
Hours spent on Friday
[tex]\Rightarrow 1\ \frac{1}{4}=\frac{5}{4}\ hours[/tex]
Hours spent on Saturday
[tex]\Rightarrow 2\ \frac{2}{3}=\frac{8}{3}\ hours[/tex]
She must study for
[tex]\Rightarrow \dfrac{13}{2}-\dfrac{5}{4}-\dfrac{8}{3}\\\\\Rightarrow \dfrac{13\times6-5\times3-8\times4}{12}=\dfrac{78-15-32}{12}\\\\\Rightarrow \dfrac{31}{12}=2\ \frac{7}{12}\ \text{hours}[/tex]
A man walks into a bank with $1000 all in $1 bills. He asks the
bank teller to put specific amounts in 10 individual bags, so that
whenever he decides to come into the bank to request any amount
up to his $1000, the teller can just hand him bags without splitting
them up. How much money is in each bag?
Answers
Answer:
$100
Step-by-step explanation:
100 bills in each bag
$100 in 10 bags
Jen measured the growth of a sunflower. In week one, it grew 2 1/2 inches. In week two, it grew 2 3/4 Inches. In week three, it grew 3 1/4 Inches. How much did the sunflower grow over all the three weeks?
Answers
Answer:
8 1/2 inches
Step-by-step explanation:
we add the fractions of growth over the 3 weeks
2 1/2 + 23/4 + 3 1/4 = 8 1/2
HELP PLS!! What is the diameter of a circle whose circumference is 16pi centimeters?
32 cm
16 cm
4 cm
8 cm
Answers
answer: 8
Explanation:
Use the formula for the area of a circle:
A = π r 2
Here, the area is 16 π
16 π = π r 2
Divide both sides by
16 = r 2
Take the square root of both sides:
√ 16 = √ r 2
4 = r
Since the radius of the circle is
4
, the diameter is twice that:
d = 4 × 2 = 8
Convert 0,0909 to a ratio of two integers
Answers
Answer:
not sure
Step-by-step explanation:
Pls help i am stuck on this
Answers
Answer:
1,4.560
Step-by-step explanation:
I am not so sure.
Can someone please help me
Answers
Answer:
radius = 10
(x-5)² + (y-11)² = 100
Step-by-step explanation:
The circumference is given, we get r = 20π/2π = 10
∴Equation of circle is (x-5)² + (y-11)² = 100
Answer:
hiii
Step-by-step explanation:
logarithm
[tex] log(53.75) [/tex]
Answers
Answer:
log(53.75) ≈ 1.73
Step-by-step explanation:
Not sure if this was a question but I just put it into my calculator.
Alisha received a fruit basket as a thank you gift and it had 18 tangerines, 4 pears, 2 plums, 6 bananas, and 3 peaches. Write the ratio of tangerines to pears and bananas in simplest form.
Answers
Answer:
9:14
Step-by-step explanation:
18:(18+4+6)
18:28
(18÷2);(28÷2)
9:14
A straight fence is constructed from posts 6 inches wide and separated by lengths of chain 5 feet long. A certain fence begins and ends with a post. If there are 7 posts, what is the total length of the fence?
Answers
Answer: 72 ft
Step-by-step explanation:
Given
The width of a post is [tex]w=6\ in.[/tex]
Posts are separated by [tex]5\ ft[/tex] chain
for 2 posts, length is [tex]6+5+6=17\ ft[/tex]
for 3 posts, length is [tex]6+5+6+5+6=28\ ft[/tex]
for 4 posts, it is [tex]28+5+6=39[/tex]
i.e. 11 ft is adding on the addition of another post
for 7 posts it is [tex]17+11\times 5=72\ ft[/tex]
Thus, the total length of the fence is [tex]72\ ft[/tex]
Mr. Linx and Mrs. Lynn both work for the same company, but they do not have the the same hourly wages. Together they make $32.50 per hour. This week, Mr. Linx (x) worked 35 hours, and Mrs. Lynn (y) worked 37 hours. Together, they made $1,172.50.
Answers
Answer:
Mr. Linx wages = x = $15
Mrs. Lynn wages = y = $17.50
Step-by-step explanation:
Mr. Linx wages = x
Mrs. Lynn wages = y
x + y = 32.50 (1)
35x + 37y = 1,172.50 (2)
From (1)
x = 32.50 - y
Substitute x = 32.50 - y into (2)
35x + 37y = 1,172.50
35(32.50 - y) + 37y = 1172.50
1137.5 - 35y + 37y = 1172.50
- 35y + 37y = 1172.50 - 1137.50
2y = 35
y = 35/2
y = 17.50
Substitute y = 17.50 into (1)
x + y = 32.50
x + 17.50 = 32.50
x = 32.50 - 17.50
x = 15
Mr. Linx wages = x = $15
Mrs. Lynn wages = y = $17.50
The height of a cone is 6 centimeters and the volume is 150 pi. Find the radius of the cone.
Answers
Answer:
4.89
Step-by-step explanation:
Equation for radius of a cone is
R= square root of 3 * v/ pi *h
R= Square root of 3 * 150/pi *6
R= 4.886025119
= 4.89
I hope its right. Hope it helped.
Answer:
r = 4.89
I don't know how to right my explanation but that's the answer.
help
Santino pays $52.65 for twenty-seven 15-count boxes of granola bars. How much does 1 box of
granola bars cost?
Answers
$1.95
Explanation:
Divide $52.65 by 27 to find the cost of each box.
Paper clips are sold in boxes of 1000.
Each box costs £15.40
The table below shows the discount offered for large orders.
Ethan orders 5 boxes of paper clips.
Work out the amount of discount Ethan gets.
Answers
Answer:
6.5%
Step-by-step explanation:
1000 in a box and he orders 5 boxes.
1000x5= 5000
So he orders 5000 paper clips
1 box is £15.40 and he order 5, so £15.40x5= £77
£77 is between £55 and £79.99 so he will get 6.5% discount.
After the discount he will pay £71.99
PLS HELP! TELL ME HOW TO DO IT!
Answers
16) Italia and Hugo sold a total of 137 glitter tattoos at the football game. Hugo sold
18 fewer than twice as many as Italia. How many tattoos did Hugo sell?
Answers
Answer:
i think ¹27 yea i ththatthats the answer hope it is
‼‼‼‼❗❗‼ HELP NEED RIGHT ANSWERS
Answers
Answer:
17,296
Step-by-step explanation:
All you do is 92x47 x4
Which expression matches this algebraic expression after using Distributive
property a(b+cq - bd).
abcq - abd
ab+ acq - abd
ab + acq -bd
ab + cq -bd
Answers
Name an event that has a probability of 2/7
Answers
Answer:
2/7
Step-by-step explanation:
7 balls in a box 3 are red and 2 are yellow and 1 is white what is the probability of find a yellow ball?
Mia has a bag of jellybeans. She has 1 cherry, 1 lime, 8 grape, and 2 lemon jellybeans. If she pulls out 1 jellybean without looking, what is the probability that she pulls out a flavor other than grape?
Answers
Answer:
7.692
Step-by-step explanation:
have a nice day :D
Answer: 1/3 or .33
Step-by-step explanation:
If we have 12 jelly beans and there is 8 grape jelly beans and 4 other jelly beans that arent 8 you add the numbers and get a denominator of 12 then you add the number of jellybeans you are focusing on which equals 4/12 then we simplify 4/12 into 2/6 then 1/3 and then we have 1/3! Hope this helps have a great day!
PLEASE HELP! What is the slope of the line that passes through (3,6) and (7,16)?
Answers
4. Write the ratio for cos M.
cos M = 24/25
cos M = 12/25
cos M = 24/7
cos M = 25/24
Answers
Answer:
24/25
Step-by-step explanation:
Hello There
[tex]cos = \frac{adjacent}{hypotenuse} [/tex]
The adjacent of M is 24 and the hypotenuse is 25 so
[tex]cosm = \frac{24}{25} [/tex]
Answer:
cos M= base/hypotenuse=KM/LM=24/25
