The distance between the rooftops of two buildings, one 47 feet high and the other 31 feet high with a 12 feet gap between them, is 20 feet, as calculated using the Pythagorean theorem.
To determine the distance between the rooftops of two buildings with different heights, we should envision a right-angled triangle where the buildings form the two vertical legs, and the distance between them forms the base.
The height difference of the buildings gives us one leg of the triangle (47 feet - 31 feet = 16 feet), and the distance between them gives us the other leg (12 feet).
Using the Pythagorean theorem, which states that in a right-angled 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, we can calculate the length of the hypotenuse, which is the distance between the rooftops.
The formula is c = ( √{a² + b²} ), where a and b represent the legs of the triangle, and c represents the hypotenuse.
For our problem:
Leg a (height difference): 16 feet
Leg b (distance apart): 12 feet
Plug the values into the formula:
c = √{16² + 12²}
c = √{256 + 144}
c = √{400}
c = 20 feet
So, the distance between the rooftops of the buildings is 20 feet.
Cameron book log show that he read a total of 4 1/4 hours last month. How many minutes is that?
What is $15 for 3 pounds wrote as a unit rate
The product of a number and - 7/10 is 1/2 .
What is the number?
-5/7
5/7
-7/20
7/20
Answer: -5/7
Step-by-step explanation:
Which values from the given replacement set make up the solution set of the inequality? m+7 < 18 ; {8,9,10,11}
A. {8,9}
B. {10,11}
C. {8,9,10}
D. {9,10,11}
The correct answer is C.
8 + 7 = 15 < 18
9 + 7 = 16 < 18
10 + 7 = 17 < 18
So the correct answer is C.
Brainliest Please!
which shows faster decay 0.8 or 0.9
3.752 rounded to the nearest hundredth
Michelle wants to save $150 for a trip to the six flag amusement park. If she saves $12 each week, how many weeks will it take her to save enough money for the trip
A local blood drive predicts 40% of its donors will have Type O blood.Which simulation could be used to model the number of donors will have Type O blood?......................
A.) spin two spinners with 6 equal sections......................:::......::::::............B.) Draw one marble from a bag containing 4 white marbles and 10 purple marbles...................................C.)Flip a coin and roll a die 4 times.............D.)Select one card from a set containing 4 red cards and 6 black cards
Answer:
It is D
Step-by-step explanation:
63 to 28 as a fraction
To simplify 63 to 28 as a fraction, divide both 63 and 28 by their greatest common factor, resulting in 9/4.
63 to 28 as a fraction can be written as 63/28. To simplify this fraction, you can divide both the numerator and the denominator by their greatest common factor, which is 7. Therefore, 63/28 simplifies to 9/4.
Ling is training for a marathon by jogging 6.3 kilometers every other day. How many meters does she jog every other day
Ling jogs 6300 meters every other day while training for a marathon. The conversion from kilometers to meters was done by multiplying the kilometer value (6.3) by 1000.
Explanation:To answer the question of how many meters Ling jogs every other day, we need to convert the distance from kilometers to meters. In the metric system, 1 kilometer is equivalent to 1000 meters. Therefore, if Ling jogs 6.3 kilometers every other day, we multiply 6.3 by 1000 to obtain the equivalent distance in meters.
Calculation: 6.3 kilometers * 1000 = 6300 meters.
So, Ling jogs 6300 meters every other day while training for the marathon.
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A geologist visits 80 volcanoes in Alaska and California. What if the 70% of the volcanoes were in California? How many would the geologist have visited in California and how many are in Alaska?
Each of the 18 tires of a fully loaded semi truck is bearing approximately 3,300 pounds. The unloaded truck and trailer, with the driver aboard weighs 30,000 pounds. The truck holds 26 pallets of cargo when it is fully loaded. What is the approximate average weight of one pallet of cargo? A. 1,131 lbs
B. 1,280 lbs
C. 1,633 lbs
D. 1,665 lbs
Answer: A. 1,131 lbs
Step-by-step explanation:
Given: the weight of each tire of a fully loaded semi truck = 3,300 lbs
Then the weight of 18 tires of a fully loaded semi truck = [tex]18\times 3300=59400\ lbs[/tex]
Also, the unloaded truck and trailer, with the driver aboard weighs 30,000 pounds.
Therefore, the weight of pallets = [tex]59400-30000=29400\ lbs[/tex]
Hence, the weight of 26 pallets of cargo when it is fully loaded= 29400 lbs
Now, the weight of each pallet= [tex]\frac{29400}{29}=1130.76923077\approx1131\ lbs[/tex]
∴ The approximate average weight of one pallet of cargo= 1131 lbs
How many times does 19 go into 115
The coordinates of point P on a coordinate grid are (−5, −6). Point P is reflected across the y-axis to obtain point Q and across the x-axis to obtain point R. What are the coordinates of points Q and R?
7 + z < 3
Can someone help me solve this inequality please?
Each Day Marvin exercises for 48 minutes.How many days will it take him to exercise for 576 minutes?
By dividing the total desired exercise minutes (576) by the daily exercise duration (48 minutes), we find that Marvin will need 12 days to reach 576 minutes of exercise.
Explanation:To calculate how many days it will take Marvin to exercise for a total of 576 minutes, given that he exercises for 48 minutes each day, we divide the total minutes he wants to achieve by the number of minutes he exercises daily.
Total minutes desired: 576 minutes
Daily exercise duration: 48 minutes
To determine the number of days required, we perform the following calculation:
Divide 576 by 48.The result is the number of days Marvin needs to exercise to reach 576 minutes.576 minutes ÷ 48 minutes/day = 12 days
Therefore, it will take Marvin 12 days of exercising for 48 minutes each day to accumulate 576 minutes of exercise.
John gets a new job and receives a 200$ bonus after that he makes 50$ a day
What is the slope:
What is the y-intercept:
Draw and label a rectangle prism that has a surface area of 158 square yards
A rectangular prism with dimensions [tex]\(8 \times 5 \times 3\)[/tex] yards has a surface area of 158 square yards, verified by substituting into the surface area formula.
To draw and label a rectangular prism with a surface area of 158 square yards, we first need to understand the surface area formula for a rectangular prism.
The surface area \(A\) of a rectangular prism can be found using the formula:
[tex]\[ A = 2lw + 2lh + 2wh \][/tex]
Where[tex]\(l\), \(w\), and \(h\)[/tex] are the length, width, and height of the rectangular prism, respectively.
Given the surface area[tex]\(A = 158\)[/tex] square yards, we can now find different combinations of [tex]\(l\), \(w\), and \(h\)[/tex] that satisfy this equation.
One possible combination is [tex]\(l = 8\), \(w = 5\), and \(h = 3\).[/tex] Let's verify this:
[tex]\[ A = 2lw + 2lh + 2wh \][/tex]
[tex]\[ = 2(8 \times 5) + 2(8 \times 3) + 2(5 \times 3) \][/tex]
[tex]\[ = 2(40) + 2(24) + 2(15) \][/tex]
[tex]\[ = 80 + 48 + 30 \][/tex]
[tex]\[ = 158 \text{ square yards} \][/tex]
Therefore, a rectangular prism with dimensions [tex]\(8 \times 5 \times 3\)[/tex]yards will have a surface area of 158 square yards.
Now, to draw and label the rectangular prism:
- Draw a rectangular prism with dimensions [tex]\(8 \times 5 \times 3\)[/tex] yards.
- Label the length[tex](\(l\)),[/tex] width [tex](\(w\)),[/tex] and height[tex](\(h\))[/tex] accordingly.
The question probable may be:
Draw a rectangle prism that has a surface area of 158 square yards
can you guys answer this
there are 239 people in the first 6 rows of a movie theater if the same number of people are in the next 6 rows about how many people are in the first 12 rows ?
In the first twelve-row, the total number of people is 478 and this can be determined by using the arithmetic operations.
Given :
The total number of people in the first six rows is 239.
The same number of people are in the next 6 rows.
Arithmetic operations can be use to determine the total number of people in the first twelve rows.
Given that there are 239 people in the first six rows and the same number of people in the next six rows. Therefore, in the next six-row, the total number of people are 239 as well.
Therefore, in the first twelve-row the total number of people = 239 + 239
= 478.
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what is the area of a isosceles triangle
Alison is making a 16-inch necklace. The first 4 1/4 inches are filled with red beads and 8 3/8 inches are filled with blue beads. How many inches are filled with white beads? Help me plz
What is 6476 divided by 12?
What is standard form
Zoe's pizza cost $12.99. She gave a tip of $2.00. What percent did Zoe leave as a tip?
The percentage of money Zoe leave as a tip is 15.39%.
What is a linear function? What is a mathematical function, equation and expression?function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Zoe's pizza cost $12.99. She also gave a tip of $2.
Assume that the percentage of money Zoe leave as a tip is [x]. So, we can write -
[x] = 2% of 12.99
[x] = (2/12.99) x 100
[x] = 15.39%
Therefore, the percentage of money Zoe leave as a tip is 15.39%.
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You want to buy met tickets that cost $357.25. They offer 25% off the second discount of 14% off of the discounted price
Answer: $230.43
Step-by-step explanation: 357.25x25%=89.3125
Then you add it to the mets ticket which would get you 267.9375 Then you do 267.9375x14%=37.51125 then subtract that from 267.9375 and then you get 230.42
what is 2.25 as a fraction
Which equation shows the substitution method being used to solve the system of linear equations?
x – y = 7
x = y + 3
A.
(y + 3) – y = 7
B.
x – (y + 3) = 7
C.
x – y = y + 3
D.
x = (7 – x) + 3
Every week, Colin mows the lawn, edges the lawn, and pulls weeds. List all the possible orders in which he can take care of the yard.
Colin can complete his yard work in 6 different orders.
Colin has three tasks to complete for his yard work: mowing the lawn, edging the lawn, and pulling weeds. We can list all possible orders in which he can complete these tasks by considering each task as an item in a permutation. Since there are three tasks to arrange, there are 3! (3 factorial) possible ways to order them, which is 3 × 2 × 1 = 6 possible orders.
Mow, Edge, WeedsMow, Weeds, EdgeEdge, Mow, WeedsEdge, Weeds, MowWeeds, Mow, EdgeWeeds, Edge, MowThis list represents all the combinations that Colin can take to complete his yard work.
what is three equivalent ratios for 9/2?
To find three equivalent ratios for 9/2, you can multiply both the numerator and denominator of the given ratio by different numbers.
Explanation:When finding equivalent ratios, you need to multiply or divide both the numerator and denominator of the given ratio by the same number. In this case, we have 9/2. To find three equivalent ratios, we can multiply the numerator and denominator by different numbers. Here are three equivalent ratios for 9/2:
18/4 (multiply both 9 and 2 by 2) 27/6 (multiply both 9 and 2 by 3) 45/10 (multiply both 9 and 2 by 5)