Answers
Answer:
Formulae used:
Area of a rectangle = width × length
Area of a triangle = 1/2 × base × height
Area of blue shape:
Area of rectangle + area of triangle
= (9 × 15) + (1/2 × (15 - 9) × 15)
= 135 + (1/2 × 6 × 15)
= 135 + 45
= 180 mm²
Area of yellow shape:
area of rectangle AHPB + area of rectangle GFQP + area of rectangle EDCQ
= (4 × 12) + (6 × (12 - 9)) + (4 × 12)
= 48 + (6 × 3) + 48
= 48 + 18 + 48
= 114 m²
Related Questions
Which of the following statements is true about the three quadrilaterals?
O E and Fare similar but not congruent.
O E and G are similar but not congruent.
O G and Fare similar and also congruent.
O E and G are similar and also congruent.
Answers
Find the discriminant and State of real and imaginary solutions.
9n^2 - 3n - 8= -10
-2x^2 - 8x -14= -6
Answers
[tex]\qquad \qquad \qquad \textit{discriminant of a quadratic} \\\\\\ 9n^2-3n-8=-10\implies 9n^2-3n+2=0 \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{9}n^2\stackrel{\stackrel{b}{\downarrow }}{-3}n\stackrel{\stackrel{c}{\downarrow }}{+2}=0 ~~~~~~~~ \stackrel{discriminant}{b^2-4ac}= \begin{cases} 0&\textit{one solution}\\ positive&\textit{two solutions}\\ negative&\textit{no solution} \end{cases}[/tex]
[tex](-3)^2-4(9)(2)\implies 9-72\implies -63\leftarrow \stackrel{\textit{two \underline{imaginary} solutions}}{\textit{no real solution}} \\\\[-0.35em] ~\dotfill\\\\ -2x^2-8x-14=-6\implies -2x^2-8x-8=0 \\\\\\ \stackrel{\stackrel{a}{\downarrow }}{-2}x^2\stackrel{\stackrel{b}{\downarrow }}{-8}x\stackrel{\stackrel{-8}{\downarrow }}{-8}=0\qquad \qquad \qquad \qquad (-8)^2-4(-2)(-8) \\\\\\ 64-64\implies 0\leftarrow \textit{one \underline{real} solution}[/tex]
Why should you find out what kinds of damage are common in your area?
Answers
Answer:
Wind. “The most common source or cause of damage is wind-related,” Scott Humphrey, second vice president of risk control at Travelers, told TODAY Home. ...
Nonweather-Related Water. ...
Hail. ...
Weather-Related Water.
Theft.
hope i correct
a
An aircraft has just taken off from an airport, the
Formula for it heights above the ground (hm) after it has
travelled d m horizontally is h= 3/8(d-480), make d the subject of the formala.
Use your result to find d when h= 500m.
Answers
The value of d when h is 500m is approximately 1,813m
How to find the height of the aircraftGive the heights above the ground (hm) after it has dropped expressed as:
h = 3/8(d-480),
If h = 500m, then;
500 = 3/8(d - 480)
Cross multiply
500*8 = 3(d - 480)
4000 = 3(d - 480)
Expand to have:
4000 = 3d - 1440
3d = 5440
d = 1,813.3m
Hence the value of d when h is 500m is approximately 1,813m
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Explain in your own words how to find the area of a trapezoid.
Answers
Answer:
Step-by-step explanation:
[tex]Area \ of \ trapezoid = \dfrac{h(a+b)}{2}[/tex]
h - altitude or height between the parallel sides
a , b area the length of the parallel sides
In a cryptarithm, each letter is assigned its own unique digit. In the cryptarithm shown (where MATH is 3 times FUN), FUN is a 3-digit number with its digits in consecutive and increasing order. What 3-digit number is FUN? [No leading digit can be 0.]
Answers
The 3 digit number that is FUN is; 678
What is the combination of the numbers?We are told that MATH is 3 times the word "FUN".
We are also told that each letter is assigned a unique number and that no leading digit can be zero and that the digits must be consecutive.
Now, product of 789 by 3 gives;2367.
Each letter should have a unique letter and so that is not the correct sequence.
Let us try the product of 678 by;
678 * 3 = 2034
This fulfils the condition of the question because each letter has a unique digit, the lead digit is not zero and the numbers are consecutive numbers in increasing order.
Thus, the 3-digit number that is FUN is 678.
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Find the area of this rectangle if ( L= 5 1/2) and (w = 3 1/2)
Answers
Answer:
A= 19 1/4
Step-by-step explanation:
to find the area of a rectangle, it would be LxW
so you would take 5 1/2 x 3 1/2. this would give you 19 1/4
Which of the following figures is a pair of lines that are parallel?
Answers
Parallel lines will NEVER touch and are always right beside each other.
Hope this helps!!
The perimeter of a rectangular balcony is 32 feet. The balcony is 12 feet long. How wide is it?
Answers
Answer:
4 feet wide because to find the perimeter you add all the numbers around
A business owner opens one store in town A. The equation p(x)= 10,000(1.075)^ 5 represents the anticipated profit after t years. The business owner opens a store in town B six months later and predicts the profit from that store to increase at the same rate. Assume that the initial profit from the store in town B is the same as the initial profit from the store in town A. At any time after both stores have opened, how does the profit from the store in town B compare with the profit from the store in town A? 65% 96% 104% 154%
Answers
Answer:
It's 96%
Step-by-step explanation:
Just took the test
The profit from the store in town B compared with the profit from the store in town A is the ratio represented by 96%.
What is a ratio?The ratio is the simplest form of a fraction involving two quantities determining each other. It is written as a:b, read as "a is to b", and functions as a/b.
How to solve the question?In the question, we are given that a business owner opens one store in town A. The equation p(x)= 10,000(1.075)^t represents the anticipated profit after t years. The business owner opens a store in town B six months later and predicts the profit from that store to increase at the same rate.
We are asked to assume that the initial profit from the store in town B is the same as the initial profit from the store in town A and find the comparison between the profits from the store in town B to the store in town A.
We take the time for the store in town A as t1.
Then the time for the store in town B is t1 - 0.5, as store in town B is opened 6 months after the store in town A.
To compare the profits, we take the ratio of the profits from the stores.
= Profit from the store in town B/Profit from the store in town BA
= 10,000(1.075)^(t1 - 0.5)/10,000(1.075)^t1
= (1.075)^(t1 - 0.5 - t1)
= 1.075^(-0.5)
= 1/(1.075)^0.5
= 0.96448
= 96% (approx.)
Therefore, the profit from the store in town B compared with the profit from the store in town A is the ratio represented by 96%.
Refer to the attachment for the proper question.
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Simplify the expression
3.4n + 9.6 - 2.1n
Answers
Answer:
1.3n + 9.6
Step-by-step explanation:
3.4n + 9.6 - 2.1n
So you can rearrange it to make it visually easier (but it's not needed)
3.4n - 2.1n + 9.6
Subtract like terms
1.3n + 9.6
(worth 100 points) Miguel is organizing his collection of sports memorabilia into glass display cases. He wants to cover each side of the cases with a protective film to protect the glass. This net represents a single display case.
How much film is needed to cover each display case?
Enter your answer in the box.
Answers
Answer:
4240 inches²
Step-by-step explanation:
In order to find the amount of film needed, we have to find the surface area of this cuboid.
Formula to Find Surface Area of Cuboid: [tex]2(wl+hl+hw)[/tex], where w = width, l = length, and h = height.Now, let's solve!
[tex]2(36*25+20*25+20*36)[/tex] [tex]2(900+500+720)[/tex] [tex]2(2120)[/tex] [tex]4240[/tex]Therefore, the answer is 4240 inches².
Answer:
pretty sure the answer in 4240
Step-by-step explanation:
please do not use words just use the equation step by step please
Answers
Answer:
[tex]x=6[/tex]
Step-by-step explanation:
The angle vertical to 8+17x corresponds with 110, so we set them equal to each other and solve for x since they are congruent:
[tex]8+17x=110\\\\17x=102\\\\x=6[/tex]
Answer:
x=6x=6
Step-by-step explanation:
The angle vertical to 8+17x corresponds with 110, so we set them equal to each other and solve for x since they are congruent:
\begin{gathered}8+17x=110\\\\17x=102\\\\x=6\end{gathered}
8+17x=110
17x=102
x=6
Write the equation of a line in slope intercept
form that has a slope of 5/8 and has a y-intercept
of 2.
Answers
Answer:
y=(5/8)x+2
Step-by-step explanation:
Equation of Line in Slope-Intercept Form is y=mx+c
where m is the Slope and c is the y-intercept
so for our Problem
m=5/8 and c=2
y=(5/8)x+2
Answer:
Step-by-step explanation:
The general equation is y = mx + b
The slope is m
and b is the y intercept.
Now all you need do is substitute the values given for m and b
m = 5/8 = 0.625
b = 2
Answer
y = 5/8 * x + 2 I think the decimal form is much clearer.y = 0.526x + 2The ratio of the weight of cement to the weight of sand is 1:3. How many pounds of sand are in 9 pounds of cement?
Answers
What is 0.666... in fraction FORM?
Answers
The speed of hair growth for humans is about 1, centimeters per month. Susan's hair has grown 3 centimeters since the last time she got it cut. Let z be the number of months she has been growing her hair. Write a number model to show how many months she has been growing her hair. Then solve the problem.
Answers
Answer: z = 3
Step-by-step explanation: 1 centimeter = 1 month so 3 centimeter = 3 months
Find y-intercept for y= (x+2)(x-5)
Answers
Answer:
I you added them to gether
Is it answer
what is the equation by looking at this graph y=-x+2, y=2x+2,y=x+3,y=x+2
Answers
Answer:
(32,92) and (−1,2)
Step-by-step explanation:
You have to equal the two Ys, meaning their values as well or you can find the value of the first x and then plug it in the second equation. There are many ways to solve this to.
A couple plans to save for their child's college education. What principal must be deposited by the parents when their child is born in order to have $44,000 when the child reaches the age of 18? Assume the money earns 5% interest, compounded monthly.
Answers
Answer:
$17,922.55
Step-by-step explanation:
The future value of a one-time investment is calculated using the formula ...
FV = P(1 +r/n)^(nt)
where principal P is invested at annual rate r compounded n times per year for t years.
__
You have FV = 44000, r = 0.05, n = 12, t = 18, and you want to find P.
44000 = P(1 +0.05/12)^(12·18) ≈ 2.455008P
P = 44000/2.455008 = 17,922.55
The couple must deposit $17,922.55 in order to have $44,000 in 18 years.
_____
Additional comment
Some calculators, all spreadsheets, and a number of apps can make this calculation for you. All you must do is fill in the numbers.
What is the domain and range of the function shown on the graph below
Answers
Answer:
C
Step-by-step explanation:
D: {-3,0,1,3}
R: {-5,-4,1,5}
Explain how you can use the Properties of Equality to solve the following equation:
72 = 5x + 2
Answers
Answer:
x=14
Step-by-step explanation:
subtract 2 from both of the sides
70=5x
divide each side by 5
x=14
What is the value of x if the angles are complementary?
1.) 35
2.) 20
3.) 25
4.) 15
Answers
Answer:
4.) 15
Step-by-step explanation:
90 - 75 = 15 which would be the answer.
50 points + brainliest
Choose A B C or D for problems 8, 9, 10, and 11
*No explanation needed*
TY:))))
Answers
Answer:
8. B.
9. B.
10. B.
11. No answer choices.
Step-by-step explanation:
Yes, they are all actually B. Hope this helps!
Answer: B, B, B
Step-by-step explanation: The last question has no answer choices shown.
what is the result of converting 81 inches to feet
Answers
Answer:
81 inches is 6.75 feet
Step-by-step explanation:
hope this helps
Answer:
6.75
Step-by-step explanation:
Given;
81 Inches to Feet
Note;
Formula of Inches to Feet : divide the length value by 12
Solve;
81/12 = 6.75
Thus, Result of converting 81 inches to feet is 6.75
[RevyBreeze]
Joel has a photo box that is 10 inches in length, 8 inches in width, and 5 inches in height. What is the volume of the box? Show your work below.
Answers
The volume of the photo box is 400 cubic inches.
What is volume?Volume is defined as the space covered by any solid body in the three-dimensional plane. For the reectangular box, we need the length, width and height of the box to calculate the volume.
The volume of the box will be calculated as:-
V = L x W x H
Here, L = 10 In, W =8 In, and H = 5 in put the values.
V = 10 x 8 x 5
V = 400 cubic inches
Hence, the volume is 400 cubic inches.
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answer all of them and i will give brainlist i thought they were to hard
get them correct il give brainlist
Answers
Answer:
thought they were to hard
get them correct il give brainlist
find the perimeter of the figure. round to the nearest tenth. numbers only. do not label.
Answers
The perimeter of the figure, rounded to the nearest tenth is: 17.2 units.
What is the Perimeter of a Figure?Perimeter of a figure is the total length of all sides of the figure.
The distance formula, [tex]d = \sqrt{(x_2 - x_2)^2 + (y_2 - y_1)^2}[/tex], can be used to find the length of each segment of a figure on a coordinate plane.
Thus, we have:
A(0, 4)
B(4, 4)
C(1, 0)
D(4, 1)
Perimeter of the figure = AB + BC + CD + DA
AB = |4 - 0| = 4 units
BC = √[(1−4)² + (0−4)²]
BC = √25
BC = 5 units
CD = √[(1−4)² + (0−1)²]
CD = √10
CD = 3.2 units
DA = √[(0−4)²+ (4−1)²]
DA = √25
DA = 5 units
Therefore:
Perimeter of the figure = 4 + 5 + 3.2 + 5 = 17.2 units.
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A Triangle has a base length of 14cm.
The perpendicular height is 9cm.
Find the area of the triangle.
Answers
Step-by-step explanation:
multiply 14cm by 9cm
[tex]14cm \times 9cm[/tex]
equals 126
Answer:
63
Step-by-step explanation:
4
NEED HELP ASAP WILL MARK BRAINLIEST Read the following scenario and answer the questions. Your manufacturing company incurs several costs to make the finished product, which are cans of eco-friendly paint. You purchase 100 empty cans at $2.00 each and 200 labels for the cans of paint at $1.00 each. You have two employees who bottle the paint into the cans and one additional employee who places a label on each can. You take a printout from your clock where the employees have entered their time and find that the wages due to these three employees is $2,000.00. You must also pay payroll taxes in the amount of $140.00 total for these three employees. A number of other costs incurred must be taken into consideration as well: depreciation on the factory machine of $150.00, utilities of $200.00, prepaid insurance of $600.00, and property taxes on your building of $2,000.00. Prepare the journal entries to record the purchase of the raw materials, the labor incurred, and the overhead incurred. Assume that $100.00 of the raw materials and $1,000.00 of the indirect materials were used. Prepare the journal entries to assign these materials to the jobs and overhead. Of the $2,140.00 in factory labor, $500.00 was attributed to indirect labor costs. Prepare the journal entry to assign the labor to jobs and overhead. You determine that direct labor cost is the activity base for determining the predetermined overhead rate. The following information is known about the estimated annual costs: overhead costs: $18,000.00 direct labor costs: $25,000.00 What is the predetermined overhead rate? What is the journal entry to assign overhead to jobs? Prepare the journal entry to transfer costs to Finished Goods. A sale of the goods takes place. The goods are sold for $5,000.00. Prepare the journal entry to record this sale.
Answers
Answer:
answer is 2.8 im not sure so check with another person mark me as brainliest
Step-by-step explanation:
if you divide 10 divided by 2 it gives you 5 and then subtract it by 2.2 = 2.8
there goes your answer.