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SpyIntel [72]
3 years ago
5

A typical marathon is 26.2 miles. Allan averages 12 kilometers per 1 hour when running in marathons. How long does it take for A

llan to complete a marathon, to the nearest tenth of an hour.
Mathematics
1 answer:
cluponka [151]3 years ago
8 0

Answer:

3.5 hours

Step-by-step explanation:

Given: Distance= 26.2 miles

           Speed= 12 km/h

First lets convert the unit of speed from kmh to mph.

Remember, 1 mile= 1.609 km

∴ For speed of 12 km/h= \frac{12}{1.609}= 7.45\ mph

Speed= 7.45 mph

Next, find time taken by Allan to complete a Marathon.

Time= \frac{Distance}{speed}

⇒ Time= \frac{26.2}{7.45}

∴ Time= 3.516 hours ≅ 3.5 h (nearest tenth)

∴ Allan took 3.5 hours to complete marathon.

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16 2/3% of what number is 72
eimsori [14]

Answer:

The number is 4321

Step-by-step explanation:

Let the number be x

16 2/3% = (16x3+2)/3 % = 50/3 %

50/3 % of X = 72

50/300 x X =72

X=(72 x 300)/50

X=21600/50

X=4321

4 0
3 years ago
If a ladder is to be placed 3 feet from the side of a house. If top of the ladder rests exactly on the edge of the house when it
likoan [24]

Answer:

7 feet long

Step-by-step explanation:

This set up will give a right angle triangle where;

Length of the ladder is the hypotenuse = x

The distance of the ladder to the house is the adjacent = 3 feet

Angle of elevation theta = 72 degrees

Using the CAH in trigonometry identity;

cos theta = adjacent/hypotenuse

cos 72 = 3/hyp

hyp = 3/cos72

hyp = 3/0.4258

hyp = 7.05 feet

Hence the ladder is approximately 7 feet long

6 0
3 years ago
Simplify the following fraction: 40/56<br> ​
Aloiza [94]

Answer:

5/7

Step-by-step explanation:

Simplify by finding common factors and dividing both the numerator and denominator by it.

40/ 56 = 20/28(divided by 2)  = 10 / 14 (divided by 2) = 5/7 ( divided by 2)

Hope this helps.

Please mark brainiest

6 0
3 years ago
Read 2 more answers
When rolling a number cube (dice), find: P(a number less than 3)
I am Lyosha [343]
A number less than three would be 1 or 2.
6 0
2 years ago
The domain of u(x) is the set of all real values except 0 and the domain of v(x) is the set of all real values except 2. What ar
beks73 [17]

Answer:

A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

h1

4

π

37

2

≈

1075.21009

Step-by-step explanation:

5 0
3 years ago
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