1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
g100num [7]
3 years ago
15

Let ∠X and ∠Y be complementary. If sin(X) =

Mathematics
1 answer:
Lena [83]3 years ago
8 0
<h3>Answer:</h3>

sin(Y) = 4/5

<h3>Step-by-step explanation:</h3>

The sine of one of a pair of complementary angles is equal to the cosine of the other. Given that ∠X and ∠Y are complementary, sin(Y) = cos(X) = 4/5.

_____

You can figure this from SOH CAH TOA, the mnemonic that reminds you of the definitions of the trig functions. The adjacent leg for one of the acute angles in the right triangle is the opposite leg for the other angle.

... Sin = Opposite/Hypotenuse

... Cos = Adjacent/Hypotenuse

You might be interested in
PLEASE HELP W/ MATH PROBLEM
Ilia_Sergeevich [38]

Answer:

11. 736080 cars //   12. 5397920 cars

Step-by-step explanation:

given total number of cars produced : 6,134,000

100% -->6,134,000

1%--> 6,134,000 /100

1% --> 61340

given big cars of America is 12%

so to find this 12% = 12 * 61340 = 736080 cars produced by America

by other manufactures =  total cars - big cars of America

                                       = 6,134,000 - 7,36,080

                                       = 5397920 cars

3 0
3 years ago
Two trains leave stations 360 miles apart at the same time and travel toward each other. One train travels at 70 miles per hour
cricket20 [7]
S=d/t     ⇒d=s*t
s=speed
d=distance
t=time

The first train :
d=x

x=70 miles/h*t                             ⇒   x=70t  (1)

The second train
d=360 miles - x

360 miles - x=80 miles/h*t          ⇒360-x=80t   ⇒ x=360-80t   (2)

therefore, with the equations (1) and (2) we have a systeme of equations:

x=70t
x=360-80t

we can solve this system of equations by equalization method.

70t=360-80t
70t+80t=360
150t=360
t=360/150=2.4     (≈2 hour  24 minutes)

Answer:  the first train meet with the second train in 2 hour 24 minutes. 


3 0
3 years ago
Read 2 more answers
What is 535 divided by 30 with a remainder?
chubhunter [2.5K]

Answer:

17 with the remainder of 25

Step-by-step explanation:

3 0
3 years ago
Invested $8200 at the rate of 4.5% p.a. It earned $738 simple interest. The
Igoryamba

Answer:

2 yrs

Step-by-step explanation:

SI =PTR/100

738=8200 x T x 4.5 /100

738 x 100 / 8200 x 4.5 = T

T =2

3 0
3 years ago
A researcher conducted a paired sample t-test to determine if advertisements were viewed more in the morning (before noon) or in
Natalija [7]

Answer:

b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).

Step-by-step explanation:

The critical value for one tailed test is t ∝(7) > 1.895

A one tailed test is performed to test the claim that advertisements were viewed more in the morning (before noon) or in the evening (after 5pm)

The null and alternative hypotheses are

H0: μm = μe   vs     Ha μm > μe

where μm is the mean of the morning and μe is the mean of evening.

The calculated value of t = -1.152587077  which is less than the critical region hence the null hypothesis cannot be rejected .

P(T<=t) one-tail 0.143458126 > 0.05

If two tailed test is performed the critical region is t Critical two-tail 2.364624252

and the calculated t value is  -1.152587077  which again does not lie in the critical region .

Hence μm =  μe or    μm ≤ μe

P(T<=t) two-tail 0.286916252  > 0.025

Therefore

b. No, there was no difference between Morning (M= 32), and Evening (M=40.625), (t [7] = 1.15, p > .05).

Option b gives the best answer.

6 0
3 years ago
Other questions:
  • What is 10 1/2 as a improper fraction
    8·2 answers
  • A support wire is attached to a utility pole at a point 4 feet below the top of the pole. The wire is anchored to a stake 10 fee
    7·1 answer
  • 3.8 repeating as a fraction
    14·1 answer
  • louisa cuts 7 pieces of yarn. each piece is 28 hundredths meters long. what is the total length of yarn louisa cuts?
    5·2 answers
  • A cereal box's length is 25 cm, height is 30 cm and width is 10 cm.
    6·1 answer
  • Someone please answer this! THANKSSSS
    15·2 answers
  • HEY THERE! PLEASE ANSWER THE MATH QUESTION IN THE PHOTO! THE CORRECT ANSWER WILL BE MARKED AS BRAINLIEST ,GET POINTS AND I WILL
    5·1 answer
  • Which ratio is equal to 27 : 81?
    12·1 answer
  • HURRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY PLEASEEEEEEEEEEEEEEEEEEEEE
    7·2 answers
  • (Dot plots) I need help. Answer F. G. H.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!