Find the area of rectangle ABCD
Answers:
A. 20
B. 10 square root 2 + square root of 82
C. 24
D. 12
Answers
9514 1404 393
Answer:
D. 12
Step-by-step explanation:
There are a number of ways to find the area of this rectangle. Perhaps the most straightforward is to find the lengths of the sides and multiply those. The distance formula is useful.
d = √((x2 -x1)^2 +(y2 -y1)^2)
Using the two upper-left points, we find the length of that side to be ...
d = √((3 -0)^2 +(3 -0)^2) = √(9 +9) = √18 = 3√2
Similarly, the length of the lower-left side is ...
d = √((-2 -0)^2 +(-2 -0)^2) = √(4+4) = √8 = 2√2
Then the area of the rectangle is ...
A = LW
A = (3√2)(2√2) = 3·2·(√2)^2 = 3·2·2 = 12
The area of rectangle ABCD is 12.
_____
Other methods include subtracting the area of the corner triangles from the area of the bounding square:
5^2 -2(1/2)(3·3) -2(1/2)(2·2) = 25 -9 -4 = 12
Related Questions
What is 7+y(3+y) when y=5
Answers
Answer:
47
Step-by-step explanation:
Sub in 5 for y:
7+5(3+5)
7+5(8)
7+40
47
Answer:
96
Step-by-step explanation:
3 + 5 = 8
7 + 5 = 12
So, 12(8) is the same as 12 x 8.
12 x 8 = 96
Sarah's mother gives her $25 for each A she gets on her report card and $10 for each B. If Sarah's mother gave her $80 and Sarah had 3 B's, how many A's did she have on her report card?
Answers
Answer:
2 A"s
Step-by-step explanation:
You take 80-30 and are left with 50 so you divide that by 25 and get 2
Answer the photo below thanks
Answers
Answer:
6x60=360
Step-by-step explanation:
60
a zoo has two fewer elephants then zebras and five times more monkeys then elephants. the total number of elephants, monkeys, and zebras is 30
Answers
4 elephants
20 monkeys
6 zebras
//
z - 2 = elephants
(6) - 2 = 4 elephants
5(e) = monkeys
5(4) = 20 monkeys
20 + 4 + 7 = 30
Help pls!!! Photo attached.
Answers
Answer:
i hope this helps
Step-by-step explanation:
The church's goal for the fundraiser was $18,000. They exceeded their goal by 8%. How much money did they raise?
Answers
Answer:
Step-by-step explanation:
18000(1+8/100)
18000(108)/100
19440
A computer store bought a program at $10 and sold it at a selling price of $12 find the percent makup
Answers
Answer:
20%
Step-by-step explanation:
12-10=2
changed ÷ original x 100
2 ÷ 10 x 100
=20%
What is the vertex form of 3x^2+6x+10
Answers
= 3(x+1)² + 7
Vertex (h,k)
= (-1,7)
Answer:
3x2+6x−10
y=3x2+6x−10
Rewrite the equation in vertex form.
y=3(x+1)2−13
Use the vertex form, y=a(x-h)2+k, to determine the values of a h, and k.a=3h=−1k=−13 (h,k).(−1,13)
Step-by-step explanation:
help!!!!!!!!
5x^2 - 35x+50/x^2-x-20
also here is something cute.......... a munchkin cat
Answers
Answer:
funny
Step-by-step explanation:
funny
what is 2345653445353453463635746 divided by 34174182746542
Answers
Answer:
6.86381724×10 to the 10th power
Step-by-step explanation:
Write 80.75 correct to the nearest whole number.
Answers
Answer:
81
Step-by-step explanation:
|x-4|+6=13 solve this equation
Answers
Answer:
I THINK it would be 11.
Hope this helps : )
filipino.munting gamogamo.malaking gamugamo
Answers
Answer:
i Don't understand what ur saying
Step-by-step explanation:
Answer:
Nagtatanong ka ba? kung ganun ano yun
25 over 50 as a reduced fraction
Answers
Answer:
1/2
Step-by-step explanation:
i think that is right
i hope so
have a good day hope that is correct
Answer:
1/2
Step-by-step explanation:
25 is half of 50
Hi! I am Khushi
can you all please tell me the answer of this question.
The question is:
Convert 4:1 into percentage
the options are:
(a) 80%:20%
(b) 75%:25%
(c) 60%:40%
(d) 20%:80%
Answers
Answer:
80%:20%
Step-by-step explanation:
100 divided by 5 = 20
20 x 1 = 20
20 x 4 = 80
Meaning 80%(4):20%(1)
Write the expanded form of the expression.
y(0.25 +5)
y(0.25 + 5) =
Answers
hope this helps
The expanded form of the expression y(0.25 +5) is 0.25y + 5y.
What are GCF and distributive property?The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.
We also know that distributive property states a(b + c) = ab + ac.
Expanded form or Distributive properties are the same in mathematics.
Given, An expression y(0.25 + 5).
So, applying distributive property a(b + c) = ab + ac to y(0.25 + 5) we have
0.25y + 5y.
= 5.25y.
learn more about the distributive property here :
https://brainly.com/question/5637942
#SPJ2
8123 divided by 7 please help!
Answers
Find 6m if m = 5/13
6 5/13
5
2 4/12
5/78
Answers
6m= 6(5/13)
6m = 30/13
Determine the y-intercept of the line from the graph 3 2 1 -3 -2 -1 1 2 3 4 -2 <<
Answers
Answer:
Y-intercept is 0
Step-by-step explanation:
The line crosses at 0,0
x intercept is 0
Y intercept is 0
Jenna's profit for selling 38 felt ornaments is $104.50. Suppose Jenna keeps track of the number of sales (x) and profit
(y) on a graph. Which statements are correct?
Answers
Answer:
B and E
Step-by-step explanation:
trust me its correct
Shown is a square garden with a triangular pond.
Find the area of the garden that is grass
Answers
6x6 = 36m^2
Area of the triangle
3x4/2=6m^2
Area of grass
36-6=30m^2
The area of the garden that is grass is 30 square meters.
The square garden has a side length of 6 meters.
The triangular pond has a base of 4 meters and a height of 3 meters.
The area of the garden that is grass.
The area of the square garden is 6 x 6 = 36 square meters.
The area of the triangular pond is (1/2) x 4 x 3 = 6 square meters.
Therefore, the area of the garden that is grass is 36 - 6 = 30 square meters.
The area of the garden that is grass is 30 square meters.
Here are the steps in detail:
Calculate the area of the square garden: 6 m * 6 m = 36 square meters
Calculate the area of the triangular pond: (1/2) * 4 m * 3 m = 6 square meters
Subtract the area of the pond from the area of the square to find the area of the grass: 36 square meters - 6 square meters = 30 square meters
To learn more about area here:
https://brainly.com/question/1631786
#SPJ2
What is the volume, V, of a right triangular prism with a base that is a right triangle with legs measuring 7 inches and 4 inches, and with a height measuring 7 inches?
Answers
Answer:
98
Step-by-step explanation:
i just finished this practice
Answer:
98 in³
Step-by-step explanation:
I just did the practice with a 100 percent and all answers correct first try :P
plzzzzzzz help quick i have 10 mins left!!!
Isaac is making sandwiches for a group of friends. He needs 3 ounces of meat for each sandwich.
Part A: Isaac is not sure how many sandwiches he will be able to make. Write an expression with a variable that represents the amount of meat Isaac needs for his sandwiches. Identify what the variable represents.
Part B: If Isaac has 18 ounces of meat, how many sandwiches can he make? Create an equation and show all work to solve it.
Answers
Answer:
A)
O = 3S
While O is the number of ounces of meat
While S is the number of sandwiches
B)
S= O/3 = 18/3 = 6 Sandwiches
8. Complete the following table. 5x-2y = 6
Answers
Answer:
x=2/5y+6/5
Step-by-step explanation
5x-2y=6
5x-2y+2y=6+2y
5x=2y+6
step 2
5x/5=2y+6/5
x=2/5y+6/5
pls help this is due soon check 2 that apply
Answers
Answer:
I am pretty sure it is option a and c
Sorry if i am wrong
Identify the independent and dependent variables in the equation y = 3x + 5
Group of answer choices
y is independent and x is dependent
x is independent and y is dependent
both x and y are independent
both x and y are dependent
Answers
Answer:
A system of equations consists of two or more equations with two or more variables, where any solution must satisfy all of the equations in the system at the same time.
angles
B
D
The AAS Triangle Congruence sch
Theorem can be used to show that ABE CDE
Choose...
Vertical Angles
Alternate Interior Angles
AAS Triangle Congruence
SSS Triangle Congruence
Answers
Answer:
Using the right angles, we can establish AAS making the triangles congruent. Or using the Pythagorean Theorem, we can find the missing side, and then use SSS, SAS, or ASA to make the triangles congruent.
Step-by-step explanation:
A child wants to fill up a box with snow he can only carry the box if it weighs under 30 pounds the dimensions of the box are 30in by 24 inches by 24 inches each cubic inch of snow weighs .004 pounds if the child fills the box entirely with snow will he be able to carry the box?
Answers
Answer:
As a rule of thumb, snow weighs approximately 20 pounds per cubic foot, or 1.25 pounds per inch of depth. Depending on moisture content, snow can weigh from 1 pound per cubic foot to over 21 pounds per cubic foot. NOTE: Any ice build-up on the roof would need to be added to this formula.
Step-by-step explanation:
A rectangle is covered by 24 unit squares. There are no gaps or overlap.
How can the area of the rectangle be found?
The area of the rectangle is equal to the number of unit squares that cover the rectangle. The area of the rectangle is 24 square units.
The area of the rectangle is half the number of unit squares that cover the rectangle. The area of the rectangle is 12 square units.
The area of the rectangle is double the number of unit squares that cover the rectangle. The area of the rectangle is 48 square units.
Answers
Answer: Choice A
The area of the rectangle is equal to the number of unit squares that cover the rectangle. The area of the rectangle is 24 square units.
=====================================================
Explanation:
Imagine drawing equally spaced grid lines to subdivide the rectangle. This splits the rectangle into smaller squares. In this case, each little square is 1 square unit. Having 24 of these squares leads to a total area of 24 square units.
We could have 8 rows and 3 columns of these squares to get 8*3 = 24 total. Or we could have 6 rows and 4 columns to get 6*4 = 24. Another configuration is 12 rows and 2 columns which leads to 12*2 = 24.
You park in a garage 3 floors below ground level. Then you get in the elevator and go up 12 floors. What floor do you get off the elevator?
Answers
Answer: (B) 6 floors
Step-by-step explanation: Use the equation -3 + 9 to get the amount of floors above ground level.
-3 + 9 = 6
6 floors.
If this helps may I please have a brainliest.
Answer:
you would get off at the 9th floor because in order to reach ground level again your would already go up 3 of the 12 floors. leaving 9 floors left to go up.
Step-by-step explanation:
-3+12=9
