MATHEMATICS HIGH SCHOOL

In a right-triangle shaped house, the roof is 61 feet long and the base of thehouse is 11 feet across. Calculate the height of the house.

Answers

Answer 1
Answer:

Answer:

on model the house forms a right triangle in B, ABC

AC=61

BC=11

we are looking for AB the height

Pythagore's theorem

61²=11²+height²

height²=61²-11²

height²=3600

height =√3600=60feet

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Choose the two equations you would use to solve the absolute value equation below. Then solve the two equations.|x + 5| = 55

The quotient of x and 4

Answers

Answer:

x/4  

x divided by 4

21.21+13.22+-13.22 what is the answer

Answers

Answer:

21.21

Step-by-step explanation:

=21.21+13.22+(-13.22)

=21.21+0

=21.21

Answer: 47.65

Step-by-step explanation:

Hope this helps:)

Megan draws a triangle on coordinate axes. She reflects the triangle across the y-axis and then translates it 5 units to the right. Which statement is true about the triangle formed from these transformations?A. It will be larger than the original triangle
B. It will be smaller than the original triangle
C. It will be congruent to the original triangle
D. It will be a different shape then the original triangle

Answers

Answer C: It will be congruent to the original triangle. Reflections and translations do not affect the size of a shape, only it’s position and the way it is viewed.

Final answer:

The triangle formed from reflecting the original triangle across the y-axis and then translating it 5 units to the right will be congruent to the original triangle.

Explanation:

The triangle formed from reflecting the original triangle across the y-axis and then translating it 5 units to the right will be congruent to the original triangle.



When a figure is reflected across the y-axis, its shape remains the same, but its orientation is flipped. Then, by translating the reflected triangle 5 units to the right, we are simply shifting it horizontally without changing its size or shape.



Therefore, the statement that is true about the triangle formed from these transformations is C. It will be congruent to the original triangle.

Learn more about Transformations here:

brainly.com/question/13801312

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Jane has been growing two bacteria farms. Bacteria farm Rod has a starting population of 2 bacteria, while Bacteria farm Sphere has a starting population of 8 bacteria. However, Jane starts growing Rod five hours before she starts growing Sphere. At 8 p.m., Jane checks her farms and finds that they have the exact same population. If the population of Rod doubles every hour, but the population of Sphere is quadrupled every hour, how many hours ago did she start growing Sphere?

Answers

Answer: Jane started growing Sphere 3 hours ago

Step-by-step explanation:

Farm Rod starting population (Rsp) = 2

Farm Sphere starting population (Ssp) = 8

Let´s name "Rh" the quantity of hours since Rod started growing, and

"Sh" the quantity of hours since Sphere started growing.

And, let´s name "R" the population of farm Rod at 8 p.m. and "S" the population of farm Sphere at 8 p.m.

Population of Rod doubles every hour, therefore:

R = Rsp * 2^(Rh)

R = 2(2^(Rh))

Population of Sphere is quadrupled every hour, therefore:

S = Ssp * 4^(Rh)

S = 8(4^(Rh))

At 8 p.m. Jane found that R = S

Therefore, at 8 p.m:

2(2^(Rh)) = 8(4^(Sh))

dividing both sides by 2

2^(Rh) =4(4^(Sh))

adding exponents

2^(Rh) = 4^(Sh+1)

2^(Rh) =2^{2^(Sh+1) }

the bases are the same; exponents must be the same

Rh = 2Sh + 2    (equation 1)

And we also know that Jane started growing Rod five hours before Sphere:

Rh = Sh + 5    (equation 2)

Replacing equation 2 into equation 1:

(Sh + 5) = 2Sh + 2

5 - 2 = 2Sh - Sh

3 = Sh, or

Sh = 3

Jane started growing Sphere 3 hours ago.  

Tony’s class needs more than $500 for the school dance. So far, they have raised $200. They plan to have a car wash, charging $8 a car, to raise more money. Tony solved the inequality 8x + 200 Greater-than-or-equal-to 500, and determined that if they wash 37 cars, they will have enough money. Is he correct? Explain.

Answers

no, tony is not correct. solving the inequality tells us that x is greater than or equal to 37.5. since the class must wash a whole number of cars, they need to wash at least 38 cars.

Answer:

Sample Response: No, Tony is not correct. Solving the inequality tells us that x is greater than or equal to 37.5. Since the class must wash a whole number of cars, they need to wash at least 38 cars.

A line contains the points (3, –2) and (–6, –8). Write the equation of the line using point-slope form.

Answers

Y^2 - Y^1/ X^2 - X^1 os the formula that you would use to find the line that passes through those points.
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