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kolezko [41]
3 years ago
10

a road rises 16 feet for every 50 feet of horizontal distance covered. in percent what is the grade of the road?

Mathematics
1 answer:
weeeeeb [17]3 years ago
4 0

Answer:

32%

Step-by-step explanation:

The slope of the road is measured as

slope = \frac{rise}{run} = \frac{16}{50}

To express as a percentage multiply the fraction y 100% , that is

slope = \frac{16}{50} × 100% = 16 × 2 = 32%

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3<br> Find the value of x.<br> 34°<br> o<br> 27°
lana [24]

Hi there! :)

\large\boxed{x = 122^{o}}

Recall that the sum of all angles in a triangle = 180°.

Therefore:

34° + 24° + x° = 180°

Combine like terms and subtract:

58° + x° = 180°

x = 180° - 58°

x = 122°

4 0
2 years ago
Read 2 more answers
A rectangular piece of land to be developed as a memorial park has an area of 75 m^2. The length of the lot is three times the w
Lelechka [254]

Let length = l

width = w

length = 3 times width = 3w

Area of the land = 75 sq. m

Area = length × width = 3w×w = 75

3w²=75

w²=25

w=5 m

length = 3×15 = 15m

Now lets make the figure with the path of width x meters

(Refer the attached figure for easy understanding)

The inner length is the length of the rectangle reduced by x meters on either side due to the path

that is 15-x-x = 15-2x

the inner width is the width reduced by x meters in either side

= 5-x-x = 5-2x

Now lets calculate the inner area = inner length × inner width

(15-2x)×(5-2x)

= 75-30x-10x+4x^{2}

= 75-40x+4x^{2} sq. m

Now the function to calculate the cost

f(x) is given by $3.00 × area of the inner land

f(x) = 3 × {75-40x+4x²)

= 225-120x+12x²

or

= 12x²-120x+225

5 0
3 years ago
Find the area of a square with corner points at (2,4), (2,8), (6,8), (6,4)
leva [86]

Answer:

16 units^2

Step-by-step explanation:

(2,8) _____ (6,8)

       |           |

(2,4) |_____|(6,4)

length of each side = 4 units

Area = 4units*4units=16 units^2

7 0
2 years ago
How to estimate to check that the answer is reasonable
avanturin [10]
Basically estimating is rounding, im going to futher explain this with an example.
For example:
If I wanted to round a number by it's nearest tenth such as 678
(*example)
there are 70 tenths
now when you are estimating when you are rounding to the nearest number if the number has a higher value then 5 you increase the number if it is lower than 5 you STAY the same.

now
678,
since the number next to it is 8, 7 increases and everything else turns into zero. so 678 rounded to the nearest 10th
is 680!

Hope this example helped!
8 0
3 years ago
How much is (+2) + (-12)​
sergey [27]

Answer:

Subtract

2

from

−

12

.

−

14

Step-by-step explanation:

6 0
2 years ago
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