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
kap26 [50]
2 years ago
9

I need help with this​

Mathematics
1 answer:
ddd [48]2 years ago
8 0

Answer:

n = √3

m = √3

Step-by-step explanation:

The triangle is an isosceles right triangle with 2 equal base angles of 45° each.

Thus:

Reference angle = 45°

Hypotenuse = √6

Opposite = m

Adjacent = n

✔️To find m, apply the trigonometric function SOH, we have:

Sin 45 = opp/hyp

Sin 45 = m/√6

√6 × 1/√2 = m (sin 45 = 1/√2)

√6/√2 = m

√(6/2) = m

√3 = m

m = √3

✔️To find n, apply the trigonometric function, CAH:

Cos 45 = adj/hyp

Cos 45 = n/√6

√6 × √2/2 = n (cos 45 = √2/2)

√12/2 = n

√(4*3)/2 = n

(2√3)/2 = n

√3 = n

n = √3

You might be interested in
The sum of 2 numbers is 50. the second number is 5 times the first. what is the number.
sp2606 [1]

Let the first and smaller number be x. Since the second number is 5 times the first, the second number is 5x. We also know both of these numbers must add to 50; thus, we can create the following equation.

x+5x=50

Combine like terms

6x = 50

Divide both sides by 6

x = 50/6 = 25/3 \approx 8.333

This is the value of the first number. The number you're looking for isn't specified in the question description, so I'll just provide the value of the second number. The second number has to be 5 times the first.

Thus, we just multiply 5 to x.

5x = 5(25/3) = 125/3 \approx 41.667

That's the value of the second number.

3 0
3 years ago
Read 2 more answers
Does (2,9) make the inequality y = 4x + 1 true?
Brums [2.3K]

Answer:

Yes

Step-by-step explanation:

If you graph it and you go to the point (2,9) then the line will pass it

5 0
3 years ago
Read 2 more answers
No Spam. I will mark Brainliest, if you get it right. A tank's length is 4 feet longer than its width. The height is 2 feet more
dmitriy555 [2]

Answer: 3

Step-by-step explanation:

Let say x the width of the tank,

x+4 its length,

x+2 its height

Volume=105=x(x+4)(x+2)\\\\P(x)=x^3+6x^2+8x-105=0\\\\105=3*5*7\\\\P(1)\neq 0\\P(-1)\neq 0\\P(3)=0\\\\\begin{array}{|c|cccc|}&x^3&x^2&x&1\\&1&6&8&-105\\x=3&&3&27&105\\----&--&--&--&--\\&1&9&35&0\\\end{array}\\\\\\P(x)=x^3+6x^2+8x-105=(x-3)(x^2+9x+35)\\And \ x^2+9x+35\ is\ not \ factorizable\ (\Delat=9^2-4*35 < 0)\\

<u>width=3</u>

length=3+4=7

height=3+2=5

4 0
3 years ago
The price of a movie ticket at the theater is $7 for students. The price is higher for adults. A group of 4 students and 3 adult
Marat540 [252]

Given:

Student ticket price = $7

A group of 4 students and 3 adults paid $64  in all for movie tickets.

To find:

Each of the adult ticket cost.

Solution:

Let x be the cost of each adult ticket.

Then, cost of 3 adult tickets = 3x.

Cost of 1 student ticket = $7

Cost of 4 student ticket = $7(4)

According to the question,

7(4)+3x=64

28+3x=64

3x=64-28

3x=36

Divide both sides by 3.

x=12

Therefore, the cost of each adult ticket is $12.

6 0
3 years ago
Work out the length of line segment PQ.
Anarel [89]
<span>The length is:

the square root of [ (the difference in 'x' values)² + (the difference in 'y' values)² ]

D = √ [ (-2-6)² + (5-2)² ]

= √ [ (-8)² + (3)² ]

= √ (64 + 9) = √75 = 5√3 = <u>8.66</u> (rounded to 3 sig-figs)</span>
6 0
3 years ago
Other questions:
  • Adding and subtracting fractions
    9·2 answers
  • What is the minimum value for the function y=2x^2-32x+256
    7·1 answer
  • A box contains 25 crayons. There are 8 red crayons and 6 yellow crayons and the rest are blue
    15·1 answer
  • 5. Two points are 10 units apart on the coordinate plane. If
    11·1 answer
  • PLEASE HELP ASAP. I WILL GIVE BRAINLIEST
    9·1 answer
  • What were early village leaders responsible for? Choose four answers.
    11·1 answer
  • I WILL GIVE U BRAINLIEST WHEN POSSIBLE, 5 STARS AND A THANK YOU IF YOU ANSWER THIS PLEASE
    11·1 answer
  • In a random sample of 62 professional actors, it was found that 40 were extroverts. Please find the point estimate, 95% confiden
    12·1 answer
  • Hey can someone tell me the steps to solving a system of equations with graphing
    8·1 answer
  • Can someone please send the answers to these questions with explanation? (Attachment) (30 POINTS)
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!