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Dmitrij [34]
3 years ago
8

Enter your answer and show all the steps you use to solve this problem in the space provided.

Mathematics
1 answer:
valkas [14]3 years ago
5 0

Step-by-step explanation:

6×5+3×8( apply bodmas ) brackets , of division, multiple , addition , substraction ,( you start with multiplication)

30+24

54

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An escalator lifts people to the second floor of a building, 25 ft above the first floor. The escalator rises at a 30o angle. To
melamori03 [73]

Answer:

a person travel 50 ft from the bottom to the top of the escalator

Step-by-step explanation:

An escalator lifts people to the second floor of a building, 25 ft above the first floor. The escalator rises at a 30 degree angle

The escalator forms a right angle triangle

opposite to 30 degree angle is 25 feet. to find the distance from the bottom to the top of the escalator we find the hypotenuse

let x be the hypotenuse

sin(theta)=\frac{opposite}{hypotenuse}

sin(30)=\frac{25}{x}\\x sin(30)= 25\\x=\frac{25}{sin(30)} \\x=50\\

a person travel 50 ft from the bottom to the top of the escalator

6 0
3 years ago
what is the length of the longest side of a triangle that has the vertices (2, 6), (-4, 6), and (-4, 4)? a. 2/10 units b. 40 uni
rewona [7]
Length (2, 6) to (-4, 6) is sqrt((x2 - x1))^2 + (y2 - y1)^2) = sqrt((-4 -2)^2 + (6 - 6)^2) = sqrt((-6)^2 + 0) = 6

Length (2, 6) to (-4, 4) is sqrt((-4 - 2)^2 + (4 - 6)^2) = sqrt((-6)^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40)  = 2sqrt(10) units

Length (-4, 6) to (-4, 4) is sqrt((-4 - (-4))^2 + (4 - 6)^2) = sqrt(0^2 + (-2)^2) = 2

Therefore, the length of the longest side is 2sqrt(10) units
4 0
3 years ago
Please I need help urgently​
mezya [45]

Answer:

Area = 5(x + 4y - 6).

Step-by-step explanation:

The area of the whole figure = area of rectangle + area of the triangle

= 10(2y - 3)  + 1/2 * 10 * x

= 20y - 30 + 5x

= 5(x + 4y - 6).

3 0
4 years ago
Select the correct answer. 2 Jay stores hay in cubic stacks on his farm. If the length of each stack is 3 yard, what is the volu
Maurinko [17]

Cubic stack would mean all the sides are the same length.

The length of the side is given as 3 yards.

Volume = 3^3 = 3 x 3 x 3 = 27

Volume = 27 cubic yards.

3 0
3 years ago
Debora drove 400 miles on her vacation. She drove an average of 1.5 times faster in the second 200 miles of her trip than she di
vodomira [7]
t=\dfrac{s}{v}
Time, she spent driving the first 200 miles:
\dfrac{200}{x}
Time, she spent driving the second 200 miles:
\dfrac{200}{1.5\cdot x}

Total time:
\dfrac{200}{x}+\dfrac{200}{1.5\cdot x}=\dfrac{200}{x}\cdot \dfrac{1.5}{1.5}+\dfrac{200}{1.5\cdot x}=\dfrac{300}{1.5\cdot x}+\dfrac{200}{1.5\cdot x}=\dfrac{500}{1.5\cdot x}=\boxed{\dfrac{1000}{3\cdot x}}
6 0
3 years ago
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