All categories

3 years ago

In right triangle JFK sin(52)= cos(5x-2). What is the measure of the smallest angle in the triangle?

Mathematics

1 answer:

jeyben [28]3 years ago

7 0

Answer:

48°

Step-by-step explanation:

Given the trigonometry equation

sin(52)= cos(5x-2)...1

According to the quadrant:

Sin(θ) = cos(90-θ)

Sin52 = cos(90-52)

Sin52 = cos48... 2

Substituting 2 into 1:

Cos48 = cos(5x-2)

48 = 5x-2

5x = 48+2

5x = 50

x = 10°

The smallest of the angle will be angle 5x-2 = 5(10)-2

= 50-2

= 48°

You might be interested in

Guys If you buy me a private island with a pterodactyl..:.. i’ll let you be in my Dino club for free :)

Vikki [24]

Ofc! Private island incoming...

️

5 0

3 years ago

Read 2 more answers

What is the circumference of the circle shown below?

pshichka [43]

Answer:

A. 25.12 meters

..........

4 0

3 years ago

Read 2 more answers

Find the value of annuity if the periodic deposit is $250 at 5% compounded quarterly for 10 years

mylen [45]

Answer:

The value of annuity is $P_v = \$ 7929.9$

Step-by-step explanation:

From the question we are told that

The periodic payment is $P = \$ 250$

The interest rate is $r = 5\% = 0.05$

Frequency at which it occurs in a year is n = 4 (quarterly )

The number of years is $t = 10 \ years$

The value of the annuity is mathematically represented as

$P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]$ (reference EDUCBA website)

substituting values

$P_v = 250 * [1 - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]$

$P_v = 250 * [1 - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]$

$P_v = 250 * [0.3916 ] * [\frac{(1.0125)}{0.0125} ]$

$P_v = \$ 7929.9$

8 0

3 years ago

What is the area of the kite? A kite has a width of 14 feet and a height of 6 feet.

balu736 [363]

The area of the kite is 84 feet

5 0

3 years ago

HELPPPPP I GVE BRAINLIEST

Ilya [14]

Answer:

-4 8/9

Step-by-step explanation:

-4 8/9 is your answer. I hope this helps :) If so, I'd apprciate brainliest, but no pressure.

3 0

3 years ago