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2 years ago

In triangle DEF, ZE is a right angle. If cos(D) = ? and sin(D) = 24, what is tan(D)?

Mathematics

1 answer:

musickatia [10]2 years ago

6 0

Answer:

ans=24/7

Step-by-step explanation:

cosD=7/25=b/h

sinD=24/25=p/h

now....tanD=p/b=24/7

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1 year 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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1 year ago

The slope of AB is -2/5. Segment CD has endpoints at C(-5,3) and D(10,-3). Are AB and CD parallel, perpendicular or neither? Jus

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Answer:

Neither

Step-by-step explanation:

When I input segment CD onto a graph, I get -0.4 as the slope or 15/-6. If the lines were parallel, they would need to have the same slope which they do not have. If they were perpendicular, they would need to have different slopes so, -2/5 and 5/2 which they do not. That leaves us with the only option of neither.

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2 years ago

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For each boat he sells, nick earns $149 in addition to 2% of the purchase price of the boat as commission. If p represents the p

muminat

Answer:

The equation c = 0.02p+149 represents micks commission.

Step-by-step explanation:

Given that:

Amount earned by Nick on sale of each boat = $149

Commission earned = 2% of the purchase price

p represent the purchase price

Commission earned = $\frac{2}{100}*p$

Commission earned = 0.02*p

Commission earned = 0.02p

Total commission = c = 0.02p + 149

Hence,

The equation c = 0.02p+149 represents micks commission.

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1 year ago

For any two integers a and b, (a + b)2 = a? + b2

laila [671]

Answer:

(a+b)2 = a2 + b2

Step-by-step explanation:

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2 years ago

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