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3 years ago

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which of the following trigonometric expressions are equal? a. sin(theta) b. cos(theta)tan(theta) c. 1/sec(theta) d. csc(theta)

(1-cos^2(theta))

1 answer:

zimovet [89]3 years ago

5 0

Answer:

A & B

Step-by-step explanation:

cos(theta)tan(theta) can be expressed as;

cos(theta)tan(theta) = cos(theta) × (sin(theta))/cos(theta).

cos(theta) cancels out to give; sin(theta)

Thus is equivalent to option A

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15 players two coaches and 21 parents attend this year sports banquet the cost of each meal was $12 +5% sales tax what was the t

Artist 52 [7]

Answer:

$478.80

Step-by-step explanation:

We have been given that 15 players two coaches and 21 parents attend this year sports banquet the cost of each meal was $12 plus 5% sales tax.

First of all, we will find cost of each meal with tax as:

$\text{Cost of each meal with tax}=\$12+\$12\times \frac{5}{100}$

$\text{Cost of each meal with tax}=\$12+\$12\times 0.05$

$\text{Cost of each meal with tax}=\$12+\$0.6$

$\text{Cost of each meal with tax}=\$12.6$

Now, we will find total persons at the sport banquet as:

$\text{Total persons at banquet}=15+2+21$

$\text{Total persons at banquet}=38$

To find the total cost of food for the banquet, we will multiply cost of food for each person by 38.

$\text{Total cost of food for the banquet}=\$12.6\times 38$

$\text{Total cost of food for the banquet}=\$478.8$

Therefore, the total cost of food for the banquet is $478.80.

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3 years ago

a wagon is pulled at speed of 40.0 m/s by a horse exerting 1800 newton horizonal force what is the power of horse

Sonbull [250]

Answer:

The power of horse is: P = 72000 W

Step-by-step explanation:

Given

F = 1800 N

v = 40.0 m/s

To determine

P = ?

Using the formula

$\:\:\:P=\overrightarrow{F\cdot }\overrightarrow{v}$

The ⋅ in the formula represents a scalar product, defined by:

$\overrightarrow{v\cdot }\overrightarrow{w}=|v||w|cos\:\theta$

The angle Ф is zero because F and v are are parallel.

Thus the cosine is 1.

Therefore,

P = (1800) (40.0)

P = 72000 W

Hence, the power of horse is: P = 72000 W

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