A rectangular pool is 20 feet wide and 50 feet long. A deck used for sunning surrounds the pool. The deck is the same width all the way around the pool. The total area of the deck is 456 square feet. How wide is the walkway?
Answers
area of pool=legnth times width=20 times 50=1000
the area of the deck is made up of 4 rectangles and 4 squares, the rectangles' areas come in pairs
areas are
area of deck= 2(20w)+4(w^2)+2(50w)d
456=2(20w)+4(w^2)+2(50w)
distribute
456=40w+4w^2+100w
add like terms
456=4w^2+140w
divide everybody by 4
114=w^2+35w
subtract 114 from both sides
0=w^2+35w-114
find what 2 numbers multiply to get 114 and add to get 35 and factor
-3 and 38
0=(w-3)(w+38)
set each to zero
w-3=0
w=3
w+38=0
w=-38
false since measures in real life cannot be negative
Answer: 3 feet
Step-by-step explanation: this basically sum up the verifed answer
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Explain how you can use reasoning to compare two fractions with the same denominator
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Please show work it's for homework!
Answers
2. 24
3. 164
4. 2%
Work shown
Step 2: x = 24 − 8
Step 3: x = 16
Which statement best explains why Step 2 is incorrect in Tina's solution?
She did not divide 24 by 8.
She did not add 8 to 24.
She did not multiply 24 by 8.
She did not multiply 24 eight times.
Answers
Answer: The correct statement is (A) She did not divide 24 by 8.
Step-by-step explanation: Given that Tina solved an equation incorrectly, as shown below:
Step 1: 8x = 24
Step 2: x = 24 − 8
Step 3: x = 16.
We are to select the correct statement that best explains the reason behind Step 2 incorrect.
The correct steps of the solution are
Therefore, we see that in step 2, Tina should divide 24 by 8, which she did not do and got the incorrect answer.
Thus, the correct statement is (A). She did not divide 24 by 8.
Seeing the correct steps above, the mistake that Tina made was that she did not divide 24 by 8.
Answers
5.75x+28.75<115
5.75x<115-28.75
5.75x<86.25
x<86.25/5.75
x<15 or (-∞,15)
Answer: x<15 or (-∞,15)
Answers
1/5=3/15
2/3=10/15
3/15+10/15=13/15
15/15-13/15=2/15
Answers
Answer:
x = 120°: 60°, 60°, 120°, 120°
Step-by-step explanation:
x + x + 0.5x +0.5x = 360°
3x = 260°
x = 120°
0.5x = 60°
Final answer:
To find the measure of an angle in a quadrilateral when the other angles are known, subtract the sum of the known angles from 360 degrees. However, the original question does not provide sufficient data to determine specific angle measures or the value of 'x'.
Explanation:
Without additional information, it is impossible to determine the specific measure of each angle of the quadrilateral or the value of 'x'. When working with quadrilaterals, it's known that the sum of the interior angles is always 360 degrees. If given the values of three of the angles, you can calculate the fourth by subtracting the sum of the three given angles from 360.
For example, if you know that the value of three of the quadrilateral's angles are 90°, 90°, and 70°, you can find the fourth angle by performing the following calculation: 360° - (90° + 90° + 70°) = 110°. Therefore, the angle measures in order from least to greatest would be 70°, 90°, 90°, and 110°.
However, without the necessary information provided, such as the values or expressions representing the angles, a detailed explanation and accurate answer cannot be provided.
Learn more about Quadrilateral Angle Calculation here:
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