If h = 18 inches, l = 30 inches, and w = 14 inches, what is the area of the figure shown above?
A. 960 square inches
B. 690 square inches
C. 314 square inches
D. 666 square inches
Answers
Related Questions
Circle the step the error has occurred. Explain why it is an error.
Given: 2(10 – 13x) = -34x + 60
Step 1: Distribute 20 – 26x = -34x + 60
Step 2: Addition property of Equality -26x = -34x + 80
Step 3: Addition property of Equality 8x = 80
Step 4: Division Property of Equality x = 10
Answers
You subtract 20. To 60, not add
Answer:
Step 2 has an error
Step-by-step explanation:
Given equation,
2(10 - 13x) = -34x + 60
By distributive property,
20 - 26x = -34x + 60
Now, we need to isolate x on the left side of the equation,
For this we need to eliminate constant term from the left side,
20 will be eliminated by subtracting 20 from both sides ( subtraction property of equality )
I.e. Step 2 has an error,
We need to use subtraction property of equality instead of using addition property of Equality,
Note : The correct steps would be,
Step 2 : 20 - 26x = -34x + 60 ( Subtraction property of equality )
Step 3 : 8x = 40 ( addition property of Equality )
Step 4 : x = 5 ( Division Property of Equality )
This is more math X-20=-35
Answers
x - 20 (+20) = -35 (+20)
x = -35 + 20
x = -15
hope this helps
To find this up add 20 to both sides giving you x=-15
A rectangular garden is to be fenced so that one of the sides is 5 feet longer than an adjacent side (s). Which of the following quadratic functions can be used to represent the area of the garden?
A) A=s^2
B) A= s^2+5s
C) A=s^2+5
D) A=5s^2
Answers
________________________________
A = s(s+5) = s² + 5s ;
→ which is: Answer choice: [B] .
________________________________
Find the coordinates of quadrilateral V' W' X' Y' after a dilation with the scale factor of 2. Original coordinates: V(6, 2), W(–2, 4), X(–3, –2), Y(3, –5), scale factor of 2
Answers
The new coordinates after a dilation with scale factor 2 are: V'(12, 4), W'(-4, 8), X'(-6, -4), Y' (6, -10). The new coordinates are calculated by multiplying both the x and y coordinates of the original points by the scale factor.
Explanation:Dilation is a transformation that alters the size of the figure without changing its shape. It's accomplished by multiplying the original coordinates of the vertices by a specified scale factor.
The original coordinates of quadrilateral VWXY are V(6, 2), W(–2, 4), X(–3, –2), and Y(3, –5). The scale factor given is 2. Let's find the coordinates of each point after dilation.
1. First, we'll start with point V. Its coordinates are (6,2). After dilation with a scale factor of 2, we multiply each coordinate by the scale factor. The new coordinates are (6 × 2, 2 × 2) which gives us (12, 4).
2. The coordinates of point W are (–2, 4). After dilation, we obtain the new coordinates as (–2 × 2, 4 × 2), which gives us (–4, 8).
3. Now we move onto point X. Its coordinates are (–3, –2). After dilation, the new coordinates become (–3 × 2, –2 × 2), which is (–6, –4).
4. Lastly, we have point Y. Its coordinates are (3, –5). After dilation, the new coordinates become (3 × 2, –5 × 2), which gives us (6, –10).
Therefore, the coordinates of the quadrilateral V'W'X'Y' after dilation with the scale factor of 2 are V'(12, 4), W'(–4, 8), X'(–6, –4), and Y'(6, –10).
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Estimate: 67times85 plzz help me out with my home work!!
Answers
- 4 3/4 is greater than, equal to or less than -4.7 and then name a number between them
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a number could be -4.71
A northbound bus returns to the bus stop every 20 minutes. The southbound bus returns to the bus stop every 25 minutes.How long will it be before both of the buses are at the bus stop at the same time again
Answers
20,40,60,80,100,120
25,50,75,100,125
They have 100 in common. It will take the northbound bus 5 stops and the southbound bus 4 stops to be at the same bus stop
Arnold baked a rectangular cake that is 22.5 in. long and 17 in. wide. What is the area of the top of the cake?
A. 38.25 in2
B. 79 in2
C. 382.5 in2
D. 3825 in2
Answers
A = w × l
w = 17
l = 22.5
A = 17 × 22.5
A = 382.5
so the answer is c.
hope this helps, God bless!
Saturn is located at a distance of 9.54 AU from the Sun what is its orbital period
Answers
Answer:
C. 29.46 years
Step-by-step explanation:
The other person is correct, thank you.
Saturn's mean distance from the Sun at 9.54 AU gives it an orbital period of about 29.46 Earth years.
The student is asking about the orbital period of Saturn based on its average distance from the Sun, expressed in astronomical units (AU). According to Kepler's third law of planetary motion, there is a relationship between the orbital period of a planet and its average distance from the Sun. For Saturn, its mean distance from the Sun is approximately 9.54 AU, and its orbital period is roughly 29.46 Earth years.
Kepler's third law states that the square of the orbital period of a planet is directly proportional to the cube of the semi-major axis of its orbit. This can be expressed mathematically as p² = a³, where p is the orbital period in Earth years and a is the semi-major axis in AU. By checking Saturn's given values for p² (29.46 * 29.46 = 867.9) and a³ (9.54 * 9.54 * 9.54 = 868.3), we can see that Saturn's data approximates the relation of Kepler's third law effectively, confirming that an orbital period of 29.46 years for Saturn's distance from the Sun is consistent.
What is the atomic number of the atom shown?
Answers
Answer: An atom a fundamental piece of matter. ... An atom itself is made up of three tiny kinds of particles called subatomic particles: protons, neutrons, and electrons. The protons and the neutrons make up the center of the atom called the nucleus and the electrons fly around above the nucleus in a small cloud.
Step-by-step explanation:
9s - 5g = -4y, for s
Answers
hope this helps
Sunni drives total of sixty-four and half mile to work and back each day Monday through friday.Her car gets 21.5miles per gallon.if has cost $2.85 per gallon ,how much does it cost Sunni to drive and from work each week?
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Lizzie makes 20 minutes of phone calls each day. Which plan will give Liza enough minutes for June with between 30 and 50 minutes left? Show your work
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The 'Share' plan will be enough for Liza with 650 minutes.
What is an expression?Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
Given that, Lizzie makes 20 minutes of phone calls each day
There are 30 days in June,
Minutes required in the given month = 20*30 = 600
She should choose the Share plan with 650 minutes so that she will have enough minutes plus 50 minutes left.
Hence, The 'Share' plan will be enough for Liza with 650 minutes.
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Sixteen is seven plus three times a number. Find the number
Answers
the "NUMBER" is Unknown. so you have to add 7 + 3. so 7 + 3= 10. So
7 + 3 x 10= 37
The answer is: 37
Hope this helped! good luck
Two similar triangles are shown below: Which two sets of angles are corresponding angles? ∠w and ∠v; ∠x and ∠y ∠w and ∠y; ∠x and ∠v ∠w and ∠z; ∠x and ∠v ∠w and ∠z; ∠x and ∠y
Answers
The answer is <w and <v; <x and <y. hope that helps
Answer:
<w, <v; <x, <y
Step-by-step explanation:
I just took the test. May I have Brainiest? I still need four to level up... TwT
The area of a circular place is 45 square inches. Estimate the radius to the nearest integer.
Answers
45=pi(r)^2 divide by pi (3.14)
14.33=r^2 square root both sides
3.79=r round
r=4
I need help with this problem, I don't know how to solve it at all :(
5-6/w=(w-28)/7w
Answers
35w-(42w/w)=w-28
35w-42=w-28
34w=14
w=14/34
w=7/17
The community garden has $125 to purchase new plants that cost $15.99 each and bags of soil that cost $12.54 each, where x is the number of purchased plants and y is the number of purchased bags of soil. Which inequality represents this situation?
Answers
Answer:
[tex]15.99x+12.54y\leq 125[/tex]
Step-by-step explanation:
Let
x------> the number of purchased plants
y------> the number of purchased bags of soil
we know that
The inequality that represent the situation is equal to
[tex]15.99x+12.54y\leq 125[/tex]
The solution is the triangular shaded area
see the attached figure
A copy machine makes 36 copies per minute. How long does it take to make 135 copies
Answers
Final answer:
It takes 3.75 minutes for a copy machine that makes 36 copies per minute to make 135 copies.
Explanation:
To calculate how long it takes to make 135 copies with a machine that copies at the rate of 36 copies per minute, you can use a simple division. First, divide the total number of copies needed by the number of copies the machine can make per minute.
So, the calculation would be: 135 copies divided by 36 copies per minute = 3.75 minutes.
Therefore, it would take 3.75 minutes for the copy machine to make 135 copies.
What is the value of v? 45(v−7)=2 Enter your answer in the box.
Answers
v - 7 = 2/45...add 7 to both sides
v = 2/45 + 7
v = 2/45 + 315/45
v = 317/45 or 7 2/45
7 2/45 would be the correct answer
which expressions are equivalent to 647 x 39
Answers
Answer:25233
Step-by-step explanation:
PLEASE HELP ME ASAP!!!
Each dimension of a right triangle with legs of length 6 cm and 8 cm and a hypotenuse of length 10 cm is multiplied by 1/2 to form a similar right triangle. How is the ratio of perimeters related to the ratio of corresponding sides? How is the ratio of areas related to the ratio of corresponding sides?
The ratio of perimeters is one-fourth of the ratio of corresponding sides.
The ratio of areas is the cube of the ratio of corresponding sides.
The ratio of perimeters is equal to the ratio of corresponding sides.
The ratio of areas is the cube of the ratio of corresponding sides.
The ratio of perimeters is one-fourth of the ratio of corresponding sides.
The ratio of areas is the square of the ratio of corresponding sides.
The ratio of perimeters is equal to the ratio of corresponding sides.
The ratio of areas is the square of the ratio of corresponding sides.
Answers
The ratio of perimeters is equal to the ratio of corresponding sides. The ratio of areas is the square of the ratio of corresponding sides.
Explanation:The ratio of perimeters is equal to the ratio of corresponding sides. The ratio of areas is the square of the ratio of corresponding sides.
For a right triangle with legs of length 6 cm and 8 cm and a hypotenuse of length 10 cm, if each dimension is multiplied by 1/2 to form a similar triangle, the corresponding sides of the new triangle will be 3 cm, 4 cm, and 5 cm. The ratio of perimeters, 4 + 3 + 5 = 12, is equal to the ratio of corresponding sides, 6 + 4 + 5 = 15. So, the statement that the ratio of perimeters is equal to the ratio of corresponding sides is true.
The ratio of areas can be calculated by squaring the ratio of corresponding sides. So, the ratio of areas for the original right triangle will be (6 * 8) = 48 and for the similar triangle it will be (3 * 4) = 12. The ratio of areas, 48:12, simplifies to 4:1, which is indeed the square of the ratio of corresponding sides, 15:3.
When a figure is rotated, its angle measures (remains the same OR may change), and its orientation (remain the same OR may change).
please help me solve if it remains the same or may change
Answers
I don't get this I need help
Answers
volume= 24[tex] \pi [/tex] cubic unit
height = 3 radius
radius = 1/3 height
Using the volume formula of cylinder you will got the height
Volume= [tex] \pi [/tex] * radius * radius * height
24[tex] \pi [/tex] cubic unit = [tex] \pi [/tex] *(1/3 height) * (1/3 height) * height
24[tex] \pi [/tex] cubic unit / [tex] \pi [/tex] = 1/9 height cubic
1/9 height cubic = 24 cubic unit
height cubic = 24*9= 216 cubic unit
height=∛216 cubic unit= 6 unit
A coat was sold by a shopkeeper at a gain of 5%. If it had been sold for 1650 less, he would have had a 5% loss. Find CP
Answers
The cost price is 16500
Further explanationLet's learn about the basic formula about Profit and Loss
[tex]\texttt{Profit = Selling Price - Cost Price}[/tex]
[tex]\texttt{Selling Price = Cost Price ( 100\% + Profit\% )}[/tex]
[tex]\texttt{Loss = Cost Price - Selling Price}[/tex]
[tex]\texttt{Selling Price = Cost Price ( 100\% - Loss\% )}[/tex]
Let us tackle the problem !
Given:
Gain Percentage = 5%
Loss Percentage = 5%
Difference of Sales Price = 1650
Unknown:
Cost Price = ?
Solution:
[tex]\texttt{Initial Sales Price} = \texttt{Cost Price} \times ( 100\% + \texttt{Gain Percentage} )[/tex]
[tex]\texttt{Initial Sales Price} = \texttt{Cost Price} \times ( 100\% + 5\% )[/tex]
[tex]\texttt{Initial Sales Price} = \texttt{Cost Price} \times ( 105\% )[/tex]
[tex]\texttt{ }[/tex]
[tex]\texttt{Final Sales Price} = \texttt{Cost Price} \times ( 100\% - \texttt{Loss Percentage} )[/tex]
[tex]\texttt{Final Sales Price} = \texttt{Cost Price} \times ( 100\% - 5\% )[/tex]
[tex]\texttt{Final Sales Price} = \texttt{Cost Price} \times ( 95\% )[/tex]
[tex]\texttt{ }[/tex]
[tex]\texttt{Difference of Sales Price} = \texttt{Initial Sales Price} - \texttt{Final Sales Price}[/tex]
[tex]1650 = \texttt{Cost Price} \times ( 105\% ) - \texttt{Cost Price} \times ( 95\% )[/tex]
[tex]1650 = \texttt{Cost Price} \times ( 105\% - 95\% )[/tex]
[tex]1650 = \texttt{Cost Price} \times ( 10\% )[/tex]
[tex]\texttt{Cost Price} = 1650 \div ( 10\% )[/tex]
[tex]\texttt{Cost Price} = 16500[/tex]
Learn moreInfinite Number of Solutions : https://brainly.com/question/5450548System of Equations : https://brainly.com/question/1995493System of Linear equations : https://brainly.com/question/3291576Student's Shirt : https://brainly.com/question/909783Answer detailsGrade: Middle School
Subject: Mathematics
Chapter: Percentage
Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent , cookies , chocolate , chip , paper , fourth , pieces
Would you classify 256 as a perfect square, perfect cube, both, or neither
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When a fraction cannot be simplified, what must be true about the greatest common factor of the numerator and denominator?
Answers
In fact, it's their ONLY common factor.
If a roadrunner bird can run 14 miles per hour and that's 7 times faster than an ostrich can walk. How fast does an ostrich walk?
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(14 mph)/7 = 2 mph
The ostrich can walk 2 miles per hour
The speed of an ostrich is 2 miles/hr.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, a roadrunner bird can run 14 miles per hour, which is 14 miles/hr and it is faster by 7 times than an ostrich.
∴ The speed of ostrich is (14/7) miles/hr.
= 2 miles/hr.
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If you place a 45-foot ladder against the top of a 36-foot building, how many feet will the bottom of the ladder be from the bottom of the building?
Using pythagorean theorem
Answers
The bottom of the ladder will be 27 feet from the bottom of the building.
To find the distance from the bottom of the ladder to the bottom of the building, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
In this case, the ladder forms the hypotenuse, and the building forms one of the other sides of the right triangle. Let's denote the length from the bottom of the ladder to the bottom of the building as x.
According to the Pythagorean theorem:
[tex]\[ \text{Hypotenuse}^2 = \text{Adjacent side}^2 + \text{Opposite side}^2 \][/tex]
Given:
- Length of the ladder (hypotenuse) = 45 feet
- Height of the building (opposite side) = 36 feet
We need to find the length of the adjacent side (the distance from the bottom of the ladder to the bottom of the building).
[tex]\[ 45^2 = x^2 + 36^2 \][/tex]
2025 = [tex]x^2[/tex] + 1296
[tex]x^2[/tex] = 2025 - 1296
[tex]x^2[/tex] = 729
x = [tex]\sqrt{729}[/tex]
x = 27
Period 1 has 15 students in it and a test average of 86%. Period 2 has 21 students in it and an average of 88%. Period 3 has 12 students in it and an average of 95%. Use weighted means to find the overall average of the classes
Answers
Answer:
The overall average of the classes is 89.125%
Step-by-step explanation:
For calculate the average of the class using weighted means, it is necessary to take into account the number of students of every period. So, the average can be calculated as:
[tex]Average =\frac{(x_1*a_1) +( x_2*a_2) + (x_3*a_3)}{x_1 + x_2 + x_3}[/tex]
Where is[tex]x_1, x_2[/tex] and [tex]x_3[/tex] are the number of students for period 1 , 2 and 3 respectively and [tex]a_1, a_2[/tex] and [tex]a_3[/tex] are the average of period 1, 2 and 3 respectively.
Replacing the values of x1 by 15 students, x2 by 21 students, x3 by 12 students, a1 by 86%, a2 by 88% and a3 by 95%, we get:
[tex]Average = \frac{(15*86)+(21*88)+(12*95)}{15+21+12}[/tex]
Average = 89.125%
So, using weighted means, the overall average of the classes is 89.125%