3 years ago

Eight days ago, Mrs. Salazar put 50 sheets

Mathematics

1 answer:

aksik [14]3 years ago

4 0

The class used 6 sheets each day

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Write the equation of the line that passes through the points ( 1 , − 6 ) (1,−6) and ( 8 , 9 ) (8,9). Put your answer in fully r

mars1129 [50]

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10-15. 5-9. 34-56 78-3

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3 years ago

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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2 years ago

Chris can make 8 shoes per hour on a good day. If a customer needs 24 shoes, how long will it take him to make the shoes?

Lunna [17]

Answer:

3 or more days depending on how his day is going

Step-by-step explanation:

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2 years ago

When the denominator and numerator are equal, it means?

WITCHER [35]

The fraction is one whole aka one

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3 years ago

The hypotenuse of a right triangle is twice the length of one of its legs. The length of the other leg is three feet. Find the l

kari74 [83]

Answer:

2√3 = hypotenuse

√3 = side

Step-by-step explanation:

$\sqrt{3^{2} +x^{2} } = 2x \\\sqrt{9 +x^{2} } = 2x\\9+x^{2} =(2x)^{2} \\9+x^{2} = 4x^{2} \\9 = 4x^{2} - x^{2} = 3x^{2} \\3 = x^{2}\\\sqrt{3} = x\\\\2x = 2\sqrt{3}\\$

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3 years ago

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