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
Randy is 3 years old. His sister is 4 times older. How old is randys sister
Answers
Answer:
12 years old is the answer
Use trigonometric ratios to find the indicated side
lengths in the diagram shown. Show your work and
write your answers to the nearest tenth.
M
2
150
h
P
68
b
N
a. a
b. b
Answers
Answer:
a = 139.1
b = 56.2
Step-by-step explanation:
A. Reference angle = 68°
Opp = a
Hyp = 150
Therefore:
Sin 68 = opp/hyp
Sin 68 = a/150
150*sin 68 = a
a = 139.1 (nearest tenth)
B. Reference angle = 68°
Adj = b
Hyp = 150
Therefore:
Cos 68 = adj/hyp
Cos 68 = b/150
150*cos 68 = b
b = 56.2 (nearest tenth)
1/2 as a decimal <3 thank you
Answers
Answer:
0.5 is the decimal form of 1/2
Answer:
0.5 I hope this helps!
Step-by-step explanation:
Frank the earth, llc signed a three-year lease for office space. This lease is considered an what?
Answers
Answer: Long-term Liability
Step-by-step explanation:
This question relates to the classification of the lease above in accounting.
A long term liability is a payment that is owed by a company for a period lasting more than a year.
When a lease is for more than a year as is the case here, you take the present value of the lease and consider that amount to be a long term liability because it would represent an amount that the company is to pay for more than a single period.,
I need help
I need u to answer this question. what's 2+2????
Answers
Answer:
2+2=4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
it's 4 lol, open 2 fingers and open another 2 fingers then count them
need help
with these problems
Answers
Answer:
answer is c, e, and a
Step-by-step explanation:
:-)
PLZ HELLLP ITS DUEEEE IN 10 MINUTESSSSS!!!
Answers
Answer:
35, 56, x=4
Step-by-step explanation:
*find the area thats all *
Answers
Answer:
The area is 155 square feet
Step-by-step explanation:
[tex]\frac{(13+18)} {2}[/tex] × 10
[tex]\frac{31}{2}[/tex] × 10
15.5×10=155
Hope this helps! :)
Select all the numbers that round to 387.4 when rounded to the nearest tenth
Answers
The numbers that round to 387.4 when rounded to the nearest tenth are in the following interval.
387.35 <= x < 387.4
How to round the numbers?To round a number to the nearest tenth, we must observe the second decimal digit of the number:
If the second decimal digit is less than five, the first digit remains constant and the other decimal digits are removed, example, 387.34 = 387.3.If the second decimal digit is at least five, one is added to the first digit and the other decimal digits are removed, example, 387.35 = 387.4.More can be learned about rounding at https://brainly.com/question/28128444
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what plus 150 equals to 180
Answers
Answer:
30
Step-by-step explanation:
150+30=180
Hope This Helps!!
(brainliest please, if possible)
Answer: 150 + 30 = 180
Step-by-step explanation: hope this helps!
A costume designer is using exactly 264 yards of green fabric to make 36 frog costumes. If each costume requres the same amount of fabric, how many yards will be used for each one?
Answers
Answer:
Each costume will take 7 1/3 yards of green fabric
Step-by-step explanation:
They would each take this much because 264/36 is 7 1/3 which shows the total amount of fabric divided into each of the 36 costumes evenly.
What is the complete factorization of the polynomial below?
x^3- 2x²+x-2
A. (x-2)(x + 1)(x - 1)
B. (x + 2)(x + 1)(x - 1)
C. (x + 2)(x - 1)(x - 1)
D. (x-2)(x - 1)(x - 1)
Answers
Answer:
Let's start by rearranging this polynomial.
x^3 - 2x^2 + x - 2
x^3 + x - 2x^2 - 2
Now, factor out the common terms in the first two terms, and the second t wo terms. So we have: x(x^2 + 1) - 2(x^2 +1)
Apply the distributive property, and you have: (x-2)(x^2+1), which can't be factored further.
There's definitely something wrong with the answer choices here, or the problem itself.
Hopefully this helps!
The complete factorization of the polynomial is,
⇒ (x + i) (x - i) (x - 2)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The polynomial is,
⇒ x³ - 2x² + x - 2
Now, We can factor the polynomials as;
The polynomial is,
⇒ x³ - 2x² + x - 2
⇒ x² (x - 2) + 1 (x - 2)
⇒ (x² + 1) (x - 2)
⇒ (x + i) (x - i) (x - 2)
Therefore, The complete factorization of the polynomial is,
⇒ (x + i) (x - i) (x - 2)
Learn more about the mathematical expression visit:
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Convert 60°F to degrees Celsius.
If necessary, round your answer to the nearest tenth of a degree.
Here are the formulas.
c=5 (F 32)
F=ŚC+32

Answers
Answer:
the answer is 15.5⁰ Celcius
Simplify
(c+d)-(c-d)
Answers
Answer:
2d
Step-by-step explanation:
(c+d)-(c-d)
Distribute the minus sign
c+d-c+d
Combine like terms
c-c +d+d
2d
The operation * is defined as a * b = a+2ab
solve 2* 3 and 3*2
Answers
both is 14 hope it helps
first picture is incorrect second one is correct. answer is 14
3(36-5)+2•6 whats is the total cost for the supplies
Answers
Answer:
Step-by-step explanation:
wanna use P E M D A S, you will take 36-5 and it will be 31. so now the equation is 3(31)=2*6 times 3 and 31 + 93 then it will be 93=2*6, now it will be 93=12 and if i done it correctly youll get a decimal
If someone catches me up on edge for math I will pay 100 dollars anyway you want it. Please someone help me! If interested email me at kanemagdalene at g mail.com
Answers
Select all expressions that are equivalent to 5x + (x+6) +3x.
A.8x+6
B.6x+6+3x4
C.5x+6+ 3x
D.9x+6
HURRY PLZ
Answers
Answer:
The correct answer is 9x+6.
Step-by-step explanation:
The equivalent expression to the given expression is 9x+6.
The given expression is:
5x + (x+6) +3x.
What is an expression?An expression is a set of terms combined by mathematical operations.
5x + (x+6) +3x
=5x+x+3x+6
=9x+6
So, equivalent expression is 9x+6.
Thus, the equivalent expression to the given expression is 9x+6.
To get more about expressions visit:
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The bakers at Healthy Bakery can make 340 bagels in 10 hours . How many bagels can they bake in 24 hours ? What was that rate per hour ?
PLEASE HELP ME
Answers
Answer: 816
Step-by-step explanation:340+340=680 in 20 hours and 340 divided by 10=34/hour so 34x4=136
So.., 680+136=816
The ratio of boys to girls at Longwood High School is 6:7. There are 1,722 girls in the High School. Write and solve a proportion that could be used to find out how many boys are in the High School. All algebraic steps must be shown for full credit. and steps algebraically.
Answers
Answer:
1476 boys
Step-by-step explanation:
We are going to use ratio here:
6/7=x/1,722
so then we simplify
(1,722*6)/7 =
1476 boys
Construct a parallelogram whose diagonals
are 5.4 cm and 6.2 cm and an angle between
them is 70°.
Answers
Answer:
15.73 cm²
Step-by-step explanation:
Construct a parallelogram whose diagonals are 5.4 cm and 6.2 cm and an angle between them is 70°.
To construct the parallelogram, we find the Area of the parallelogram.
Area of a parallelogram = ½ × d1 × d2 × sin (y)
Where
d1 = Diagonal 1 = 5.4 cm
d2 = Diagonal 2 = 6.2 cm
y = Angle between them = 70°
Area of the parallelogram =
1/2 × 5.4 × 6.2 × sin 70
= 15.730454472 cm²
Approximately = 15.73 cm²
PLS HELP THE QUESTION IS BELOW PLS PLS PLS
Answers
Answer:
its b trust me ok dont worry I have you in my hands
Answer: THE ANSWER IS B.
A principal simulated a student raffle using 500 trials and recorded the grade level of the winner each time. The results are shown in the table.
Based on the data from the simulation, what is the probability that the winner will be in Grade 11?
Answers
Answer:
0.16
Step-by-step explanation:
Given the data:
Students __ `Gr_9 __Gr_10 __ G_11 __G_12
Frequency : 152 ___130 ______ 80 ___98
The probability is :
Frequency of grade 11 / number of trials
80 / 500
write the coordinates of the image of P(-2,5) reflected in the line of y=2
Answers
Answer:
Q(-2, -1)
Step-by-step explanation:
P(-2, 5) is 3 units ABOVE the line y = 2. If we reflect this point in the line y = 2, we end up with a point Q(-2, -1), where the '-1' comes from subtracting 3 from 2.
A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points. The new coordinate of the point P is (-2,-1).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
If the point and the line are plotted on the graph as shown below. It can be observed that point P is 3 units away from the line.
Now, since the point is reflected along the horizontal line, therefore, the x-coordinate of the point will not change, while the y-coordinate will be 3 units below the line.
Thus, the new coordinate of the point can be written as,
New-coordinate = (-2, 2 - 3) = (-2, -1)
Hence, the new coordinate of the point P is (-2,-1).
Learn more about Coordinates here:
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Q) Mr. John went to a restaurant. The cost of a meal was $40.00. If the
sales tax is 9%, what is the total amount he paid for the meal?
Answers
A local natural market employs 80 people. It expands this year and needs to hire 10% more people. How many people will work at the market after they hire the new people?
Answers:
A. 98
B. 90
C. 81
D. 88
Answers
Mdmfmfmfmfmmmmjjmk
4) -4(2a + 3) ????????????????????
Answers
Answer:
-4(2a + 3)
= -4a(2) -4(3)
= - 8a - 12
Hope it helps!
Step-by-step explanation:
-4(2a + 3)
= -4 × 2a + 3 × (-4) [-4 gets multiplied with both 2a and 3]
= -8a -12 (Ans)
Rewrite as a log: y=7^x
Answers
Answer:
log7(y)=x
Step-by-step explanation:
What is UT?
U
8
17
UT equals
Answers
Answer:
8 is the correct answer of this question
Answer:
8
Step-by-step explanation:
Which of the following is the graph of y = negative StartRoot x EndRoot + 1? On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = negative 1. On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1. On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = 1. On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at y = negative 1.
Answers
Answer:
B. On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.Step-by-step explanation:
Graph of the function:
y = -√x + 1The domain is x ≥ 0, the range y ≤ 1
Correct answer choice is B
On a coordinate plane, an absolute value curve curves up and to the right in quadrant 4 and starts at y = 1.The graph is attached
Answer: it’s B
Step-by-step explanation: got it right on edge 2021