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2 years ago

A boat travels 336 miles in 22hours (with a constant speed). How far can it travel in 8 hours (with the same speed)?

Mathematics

1 answer:

Sergeeva-Olga [200]2 years ago

8 0

Answer:

122.18 miles.

Step-by-step explanation:

336miles/22hours × x miles/8hours

336 × 8 ÷ 8 = 122.18miles

<em>good luck, i hope this helps :)</em>

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Write a verbal expression for 2(n + 9)

Morgarella [4.7K]

Two times the sum of a number and nine.

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3 years ago

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Big Ben, the famous clock tower in London, has a minute hand that is 14 feet long. How far does the tip of the minute hand of Bi

ycow [4]

Answer:

36.65 ft (2 dp)

Step-by-step explanation:

Angles around a point sum to 360°
1 hour = 60 minutes

Therefore, the minute hand of a clock travels 360° in 60 minutes

Number of degrees the minute hand will travel in 25 minutes:

$\sf =\dfrac{360}{60} \times 25=150^{\circ}$

To find how far the tip of the minute hand travels in 25 minutes, use the Arc Length formula:

$\textsf{Arc length}=2 \pi r\left(\dfrac{\theta}{360^{\circ}}\right)$

$\textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in degrees)}$

Given:

r = length of minute hand = 14 ft
$\theta$ = 150°

$\begin{aligned}\implies \textsf{Arc length} &=2 \pi (14)\left(\dfrac{150^{\circ}}{360^{\circ}}\right)\\ & = 28\pi \left(\dfrac{5}{12}\right)\\ & = \dfrac{35}{3} \pi \\ & = 36.65\: \sf ft\:(2\:dp)\end{aligned}$

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1 year ago

Expand the expression and combine like terms.(2+2w)⋅4+9(w+3)

Nonamiya [84]

0.8+0.8w+9w+27
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2 years ago

Find the present value of $10,000 payable in five years at 6% simple interest.

Svet_ta [14]

We know, I = P * R * T /100
Here, P = 10,000
R = 6%
T = 5

Substitute their values into the expression,
I = 10000 * 6 * 5 /100
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I = 300

Final Amount = Initial Amount + Interest Amount
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So, your final answer is $10,300

Hope this helps!

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2 years ago

According to the graph what is the value of x when g(x)=4

Serhud [2]

Answer:

x=2

Step-by-step explanation:

we know that

according to the graph

when g(x)=4

the value of x=2

see the attached figure to better understand the problem

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2 years ago