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3 years ago

Which trigonometric identity is given by the formula adjacent side/opposite side?

Mathematics

1 answer:

Otrada [13]3 years ago

5 0

Answer:

cot= adjacent side/opposite side

Option B is correct.

Step-by-step explanation:

We need to identify trigonometric identity which is given by the formula adjacent side/opposite side

The trigonometric identity for tan is

tan= opposite side/adjacent side

But We are given adjacent side/opposite side

Since cot is inverse of tan so, formula of cot is:

cot= adjacent side/opposite side

Option B is correct.

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Find the inner product for (-8,2) (4.5,18) and state whether the vectors are perpendicular.

Anna71 [15]

Answer: 0; Yes

Step-by-step explanation:

-8 x 4.5 = -36

2 x 18 = 36

-36 + 36 = 0

since the product is zero, the vectors are perpendicular

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3 years ago

The areas of two similar triangles are 72dm2 and 50dm2. The sum of their perimeters is 226dm. What is the perimeter of each of t

astraxan [27]

Answer:

Hence, the perimeter of the triangles are:

P=123.2727 dm

P'=102.7272 dm

Step-by-step explanation:

In two similar triangles:

The ratio of the areas of two triangle is equal to the square of their perimeters.

Let A and A' represents the area of two triangles and P and P' represents their perimeter.

Then they are related as:

$\dfrac{A}{A'}=\dfrac{P^2}{P'^2}$

We are given:

A=72 dm^2 , A'=50 dm^2

and P+P'=226 dm.-----------(1)

i.e. $\dfrac{72}{50}=\dfrac{P^2}{P'^2}\\\\\dfrac{36}{25}=\dfrac{P^2}{P'^2}$

on taking square root on both the side we get:

$\dfrac{P}{P'}=\dfrac{6}{5}\\\\P=\dfrac{6}{5}P'$

Now putting the value of P in equation (1) we obtain:

$\dfrac{6}{5}P'+P'=226\\\\\dfrac{6P'+5\times P'}{5}=226\\\\\dfrac{6P'+5P'}{5}=226\\\\11P'=226\times 5\\\\11P'=1130\\\\P'=\dfrac{1130}{11}=102.7272$

Hence,

P=226-102.7272=123.2727

Hence, the perimeter of the triangles are:

P=123.2727 dm

P'=102.7272 dm

6 0

3 years ago

If 10 man can work 6hours.How many more men are needed towork in 4 hours

Lerok [7]

Answer:

5 more men

Step-by-step explanation:

10 men do a job in 6 hours.

To do the job in 2 hours, 1/3 of the time, you need 3 times as many men.

30 men do a job in 2 hours.

To do the job in twice the time, 4 hours, you need half the men.

15 men do a job in 4 hours.

15 men - 10 men = 5 men

You need 5 more men.

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2 years ago

What is the principle for f)? The math is Simple Interest

Tamiku [17]

See the attachment °_° I hope it helps :-)

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3 years ago

Write the quadratic function in the form f (x) = a (x - h)? +k

seraphim [82]

Answer:

f(x) = -3(x - 5)^2 + 4

vertex (5,4)

Step-by-step explanation:

f(x) = -3x² +30x - 71

f(x) = -3(x² +-10x) - 71

f(x) = -3(x² +-10x+5^2-5^2) - 71

f(x) = -3(x² +-10x+5^2) -3(-5^2) - 71

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f(x) = -3(x - 5)^2 + 4

vertex (5,4)

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3 years ago