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BaLLatris [955]
3 years ago
11

Help Meeeeeeee!!!!!!!!

Mathematics
1 answer:
vesna_86 [32]3 years ago
8 0

Answer: 1st one

Step-by-step explanation:

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1) Eliot and William went hiking. They went at the same speed. Eliot's hike was 8 miles, and William's hike was 12 miles. It too
Vitek1552 [10]

Answer:

1) 2 hours

2) 96 miles

Step-by-step explanation:

1) Eliot and William went hiking. They went at the same speed. Let x mph be their speed.

<u>Elliot:</u>

Distance = 8 miles

Speed = x mph

Time =\dfrac{8}{x} hours

<u>William:</u>

Distance = 12 miles

Speed = x mph

Time =\dfrac{12}{x} hours

It took Eliot 40\ min=\dfrac{40}{60}\ hour=\dfrac{2}{3}\ hour less than William, then

\dfrac{8}{x}+\dfrac{2}{3}=\dfrac{12}{x}\\ \\\dfrac{2}{3}=\dfrac{12}{x}-\dfrac{8}{x}\\ \\\dfrac{2}{3}=\dfrac{4}{x}\\ \\2x=3\cdot 4\ \ [\text{Cross multiply}]\\ \\2x=12\\ \\x=6\ mph

So, William's hike was

\dfrac{12}{6}=2

hours long.

2) <u>Initially:</u>

Distance = 120 miles

Speed = 55 mph

Time =\dfrac{120}{55}=2\dfrac{10}{55}=2\dfrac{2}{11}\ hours

<u>Final:</u>

Speed = 44 mph

Time =2\dfrac{2}{11} hours

Distance =44\cdot 2\dfrac{2}{11}=44\cdot \dfrac{24}{11}=4\cdot 24=96\ miles

8 0
3 years ago
What figure that has 2 congruernt circular bases
mihalych1998 [28]
The answer is a cylinder
8 0
3 years ago
6. The base of a triangular field is three times its height. If the cost of cultivating the field
dedylja [7]

Answer:

base = 519.62, height = 173.21 m

Step-by-step explanation:

Let the base and height of the triangle be represented by b and h respectively.

Thus,

b = 3h

Area of a triangle = \frac{1}{2} x base x height

For the given triangle,

area = \frac{1}{2} x b x 3h

       = \frac{3}{2}bh

Area of the triangle = \frac{3}{2}bh

To determine the number of hectares,

36 per hectare = 486

hectare = \frac{486}{36}

             = 13.5

numbers of hectares = 13.5

Area of the hectares = number of hectares x 10 000 m²

                                   = 13.5 x 10 000

                                  = 135000

Total area of the hectares = 135 000 m²

So that,

area of the hectares = area of the triangle

area of the triangle = \frac{3}{2}bh

135 000 = \frac{3}{2}bh

270000 = 3bh

bh = \frac{270000}{3}

     = 90000

bh = 90000

But, b = 3h

3h x h = 90000

3h^{2} = 90000

h^{2}  = \frac{90000}{3}

     = 30000

h = \sqrt{30000}

  = 173.2051

h = 173.21 m

So that,

b = 3 x 173.2051

  = 519.6153

b = 519.62

Therefore, the base of the triangle is 519.62 m, while the height is 173.21 m.

7 0
3 years ago
Grafique la recta que pasa por el punto (-2,4) y tiene pendiente m= -2/3
Sedaia [141]
Hagshavsajsvgsvdiabe
4 0
3 years ago
9) What are the complement and supplement to a 27-degree angle?<br> Need answer As soon as possible!
seropon [69]
Complementary angles add up to 90°. The complement of a 27° angle is 90°-27°= 63°.


Supplementary angles add up to 180°. The supplement of a 27° angle is 180°-27°=153°
3 0
3 years ago
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