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
natka813 [3]
2 years ago
10

Which equation is true for the triangle?

Mathematics
1 answer:
Kamila [148]2 years ago
5 0

Answer:

D

Step-by-step explanation:

the three main trig functions are

sin = opposite / hypotenuse

cos = adjacent / hypotenuse

tan = opposite / adjacent

( opposite = side opposite of angle , hypotenuse = longest side and adjacent = other side )

Sin(55) = a/c as side a is opposite of the angle and c is the hypotenuse so D might be the answer

cos(55) would be b/c as the adjacent of that angle is b and the hypotenuse is c. B and C show the wrong ratios so B and C can't be the answer

tan(55) would be a/b as side a is opposite of the angle and b is the adjacent, A says c/a which is wrong

so we can conclude the answer is D

You might be interested in
Help,, i’m in the middle of a test and i need this answer!
gayaneshka [121]

Answer:

b

Step-by-step explanation:

brainlest pls

6 0
2 years ago
Read 2 more answers
Lian is deciding which of two gyms to join. Each gym charges a monthly rate plus a one-time membership fee.
BartSMP [9]
The conclusion is that both gym charge the same, because the identity 75 = 75 means that the two equations are equivalent (the same).
6 0
3 years ago
Read 2 more answers
If a person takes a prescribed dose of 10 milligrams of Valium, the amount of Valium in that person's bloodstream at any time ca
aleksandr82 [10.1K]

Answer:

(a)8.0mg

(b)36.87 hours

(c)-0.168

Step-by-step explanation:

The amount of Valium in that person's bloodstream at any time can be modeled with the exponential decay function A ( t ) = 10 e^{ -0.0188 t (t in hours)

(a)After 12 Hours

A ( 12) = 10 e^{ -0.0188*12}\\=7.98\\\approx 8.0 mg $(to the nearest tenth of a milligram)

(b)If A(t)=5mg

Then:

5= 10 e^{ -0.0188 t}\\$Divide both sides by 10\\0.5=e^{ -0.0188 t}\\$Take the natural logarithm of both sides\\ln (0.5)=-0.0188 t\\t=ln (0.5) \div (-0.0188)\\$t=36.87 hours (to two decimal places.)

(c)

A ( t ) = 10 e^{ -0.0188 t}\\A'(t)=10(-0.0188)e^{ -0.0188 t}\\A'(t)=-0.188e^{ -0.0188 t}\\$At 6 hours, the rate at which the amount of Valium is decaying therefore is:\\A'(6)=-0.188e^{ -0.0188*6}\\$=-0.168 ( to three decimal places)

3 0
2 years ago
The system of equations below has no solution. Which equation could represent a linear combination of the system? lm *+¿x= 15 =
Crazy boy [7]

Answer:

0

Step-by-step explanation:

6 0
2 years ago
Find the value of c so that (x+2) is a factor of the polynomial<br><br> p(x)=3x^4-x^2+cx-2
DedPeter [7]
Using polynomial long division, we get
         
         3x^3+6x^2+11x
         _____________
(x+2) | 3x^4-x^2+cx-2
          -(3x^4+6x^3)
          ____________
             6x^3-x^2+cx-2
          - (6x^3+12x^2)
         _____________
        11x^2+cx-2
      -(11x^2+22x) 
       __________
        (22+c)x-2. 

If you're wondering how I did the long division, what I essentially did was get the first value (at the start, it was 3x^4) and divided it by the first value of the divisor (which in x+2 was x) to get 3x^3 in our example. I then subtracted the polynomial by the whole divisor multiplied by, for example, 3x^3 and repeated the process.

For this to be a perfect factor, (x+2)*something must be equal to (22+c)x-2. Focusing on how to cancel out the 2, we have to add 2 to it. To add 2 to it, we have to multiply (x+2) by 1. However, there's a catch, which is that we subtract whatever we multiply (x+2) by, so we have to multiply it by -1 instead. We still need to cross out (22+c)x. Multiplying (x+2) by -1, we get
(-x-2) but by subtracting the whole thing from something means that we have to add -(-x-2)=x+2 to something to get 0. x+2-x-2=0, xo (22+c)x-2 must equal -x-2, meaning that (22+c)=-1 and c=-23
4 0
3 years ago
Other questions:
  • What is the common difference between successive terms in the sequence?
    11·2 answers
  • Simplify.<br><br> -6+{14+2 [60 – 9(1+3)]}<br><br> Enter your answer in the box.
    7·1 answer
  • Heather made a total of $451.78 last month at her part-time job. If she worked 14 hours, how much did she make per hour?
    8·1 answer
  • Or ling needs 2 yards of fabric for a craft project. She has 3 feet already. How many inches of fabric does she still needs?
    9·1 answer
  • A kite, flying 50 feet high in the air is attached by a string to a stake in the sand. How long is the string to the nearest ten
    8·1 answer
  • The function y=e−3x is vertically stretched by a factor of 4, reflected across the y-axis, and then shifted up 5 units, find the
    15·1 answer
  • What is the unit rate of 128 dog food for 16 dogs
    13·1 answer
  • Helpppp<br><br> What is the slope of each line?<br> у<br> 8<br> 6<br> 4<br> 2<br> O<br> 2 4 6 8
    13·2 answers
  • A moving company drove one of its trucks 100,042 miles one year. A second truck was
    11·1 answer
  • The length of a rectangle is 5 less than 3 times its width. The perimeter is
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!