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Vinvika [58]
3 years ago
11

2. The bottom of a ramp is placed 15 feet from the edge of a stage

Mathematics
1 answer:
Firdavs [7]3 years ago
8 0

Answer:

The slope of the ramp is 1.

Step-by-step explanation:

See the diagram attached.

Here, AC  = 15 ft. and ED = 5 ft. while AE = 10 ft.

Then, EC = (15 - 10) = 5 ft.

Now, considering the right triangle Δ EDC, if \theta is the inclination of the ramp, then \tan \theta = \frac{ED}{EC} = \frac{5}{5} = 1

Hence, \theta = 45 ^{\circ}

Therefore, the slope of the ramp is 1. (Answer)

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3. Find the volume for the rectangular prism.<br> 7.5 ft<br> 9.25 ft<br> 4 ft
Sunny_sXe [5.5K]

Answer:

277.5 square units

Step-by-step explanation:

To find the volume of a rectangular prism you must multiply length times width times height. When you multiply 7.5 x 9.25 x 4 you get the answer 277.5. Hope this helps:))

6 0
3 years ago
Harry is one third as old as his father. If his father is x 12 years old, how old is Harry? StartFraction x over 3 EndFraction 4
Mama L [17]

The age of the Harry in the terms of variable <em>x, </em>as the age of his father is (x+4) is represent with following equation.

\sqrt{3}x+4

<h3>How to write algebraic expression? </h3>

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

Harry is one third as old as his father and his father is x+12 years old.To find the age of Harry, we need to convert the given statement into the algebraic expression.

Suppose the age of the Harry is <em>a</em> years and the age of his father is<em> b</em> years. Now Harry is one third as old as his father, thus

a=\dfrac{1}{3}b

Let the above equation is equation one.

As the father of Harry is x+12 years old. Thus put the value of age of his father in the equation one as,

a=\dfrac{1}{3}(x+12)\\a=\sqrt{3}x+4

The age of the Harry in the terms of variable <em>x, </em>as the age of his father is (x+4) is represent with following equation.

\sqrt{3}x+4\sqrt{3}x+4

Learn more about the algebraic expression here;

brainly.com/question/2164351

7 0
2 years ago
Someone please help!!
Zolol [24]
To find the area of a triangle, you multiply the base times the height and multiply it by 2.
In order to find the height, you need to do this in reverse.
1.multiply 24x2
2. Find possible multiples.
3. 4x12=48, 12(the base) is three times four, and 48/2 is 24.
Answer: the height of the triangle is 4
7 0
2 years ago
Read 2 more answers
What’s the radical form of 2 1/2
Svetlanka [38]

Do you still need help?


7 0
2 years ago
Please help, will mark brainliest
Ganezh [65]

Answer:

y = 120x

Step-by-step explanation:

y=mx + b is what we need where m is the slope and b is the y-intercept.

the train travels at about 120km/hour, thus the slope is 120.

y= 120x +b. to find the y intercept plug in any coordinate.

240 = 120(2) +b. you find that the y-intercept is 0.

final equation: y= 120x

3 0
3 years ago
Read 2 more answers
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