2 years ago

Which of the following is equivalent to 3^4? 12 81 07 64

Mathematics

2 answers:

kolbaska11 [484]2 years ago

7 0

Answer: is this supposed to be 3 to the power of 4?

Step-by-step explanation:

DiKsa [7]2 years ago

4 0

81

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3 years ago

PLEASE HELP!!!! a bag holds 25 potatoes, if the potatoes in the bag are split among 5 people, how many people does each person g

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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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2 years ago

What is the length of x? What is the length of EF? Only enter numbers in the answer boxes below:

ioda

Focus on triangles DFC and DFE:

They are both right triangles because DF is perpendicular to EC

DC=DE

DF is a common side

So, the two triangles are congruent. It follows that CF=FE, and in particular

$8x=3x+15 \iff 5x=15 \iff x=3$

And since x=3, the length of EF is

$3x+15=3\cdot 3+15=24$

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3 years ago