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
e-lub [12.9K]
3 years ago
8

Is this right?

Mathematics
1 answer:
Mumz [18]3 years ago
4 0

Answer:

Q1.

AC is the greatest side, therefore is hypotenuse. AB and BC are legs.

B is 90 deg as the two legs cross at this point.

<u>Ratios:</u>

  • sin = opposite / hypotenuse
  • cos = adjacent / hypotenuse
  • tan = opposite / adjacent

BC is opposite to A and adjacent to C

AB is adjacent to A and opposite to C

  • sin A = cos C = 8/10 = 4/5
  • cos A = sin C = 6/10 = 3/5
  • tan A = cot C = 8/6 = 4/3
  • tan C = cot A = 6/8 = 3/4

Q2.

a) Answered above

b) Answered above

You might be interested in
What is the solution to the system of equations?
Dovator [93]

Answer:

<h2>(-10, 2, 6)</h2>

Step-by-step explanation:

\left\{\begin{array}{ccc}x+3y+2z=8&(1)\\3x+y+3z=-10&(2)\\-2x-2y-z=10&(3)\end{array}\right\qquad\text{subtract both sides of the equations (1) from (2)}\\\\\underline{-\left\{\begin{array}{ccc}3x+y+3z=-10\\x+3y+2z=8\end{array}\right }\\.\qquad2x-2y+z=-18\qquad(4)\qquad\text{add both sides of the equations (3) and (4)}\\\\\underline{+\left\{\begin{array}{ccc}-2x-2y-z=10\\2x-2y+z=-18\end{array}\right}\\.\qquad-4y=-8\qquad\text{divide both sides by (-4)}\\.\qquad\qquad y=2\qquad\text{put the value of y to (1) and (3)}

\left\{\begin{array}{ccc}x+3(2)+2z=8\\-2x-2(2)-z=10\end{array}\right\\\left\{\begin{array}{ccc}x+6+2z=8&\text{subtract 6 from both sides}\\-2x-4-z=10&\text{add 4 to both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+2z=2&\text{multiply both sides by 2}\\-2x-z=14\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+4z=4\\-2x-z=14\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad3z=18\qquad\text{divide both sides by 3}\\.\qquad\qquad z=6\qquad\text{put the value of z to the first equation}

x+2(6)=2\\x+12=2\qquad\text{subtract 10 from both sides}\\x=-10

4 0
3 years ago
A line passes through the points (0, 4) and (1, 9). What is its equation in slope-intercept
Simora [160]

Answer:

y=5x+4

Step-by-step explanation:

First get slope:

(4-9)/(0-1) = -5/-1 = 5

The y-intercept is where the graph hits the y-axis. That is also the point on the graph where x = 0. We are already given that, with point (0,4).

The y-intercept is 4.

y = mx +b,  m is slope and b is the intercept.

y = 5x +4

7 0
3 years ago
Write an expression that represent the sum of a number and 12
antiseptic1488 [7]

Answer:

5+12

there is no equals sign in an expression so it is just that



6 0
3 years ago
Read 2 more answers
Can someone help? Need to turn in tomorrow!
dusya [7]

You have to find what x is to do all of them

3 0
3 years ago
Kirk used 10.2 centimeters of tape to wrap 3 presents. How many presents did Kirk wrap if he used 23.8 centimeters of tape?
insens350 [35]

Answer:

Kirk wrapped 7 presents with those 23.8 cm of tape.

Step-by-step explanation:

Figure out the unit rate:

10.2 cm tape

-------------------

  3 presents

or

   3 presents

-----------------------

  10.2 cm tape

Multiplying this by 23.8 cm results in the number of presents Kirk wrapped with that much tape:

(3 presents)(23.8 cm tape

--------------------------------------- = 7 presents

           10.2 cm tape

Kirk wrapped 7 presents with those 23.8 cm of tape.

7 0
3 years ago
Other questions:
  • What is the recursive rule for this geometric sequence? 3, 3/2, 3/4, 3/8
    6·2 answers
  • Consider a roulette wheel consisting of 38 numbers 1 through 36, 0, and double 0. If Smith always bets that the outcome will be
    8·1 answer
  • 37.5 x 10(-6) in scientific notation?
    9·2 answers
  • Running consumes about 720 calories per hour about how many are used if you run for 40 minutes
    5·1 answer
  • write a ratio for the situation in three ways comparing the first quantity to the second a zoo has 14 monkeys and 18 chimpnzees
    6·1 answer
  • Elisa withdrew $20 at a time from her bank account and withdrew a total of $140. Francis with $45 at a time from his bank accoun
    11·1 answer
  • Colleen rode her bicycle 9.5 miles in 0.8 hour. What was her average speed in miles per hour? a 11.875 miles per hour b 10.3 mil
    8·2 answers
  • 10. 3x – x +4 = 4(2x-1)
    7·1 answer
  • Which measurement is closest to the length of one string of lights in feet ??​
    11·1 answer
  • Given points R (3,7) and S (1,3), what is the slope of the line that passes through the points R and S?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!