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
aksik [14]
2 years ago
5

Help please asap i show step by step !

Mathematics
1 answer:
pychu [463]2 years ago
6 0

Answer:

a = 4\sqrt{3}

b= 4

Step-by-step explanation:

It's a 30-60-90 triangle based on the given picture. A right triangle too

Use sine, cosine, and tangent to solve for the side.

To find b, you can use sin(30) = b/8 because sin(angle) = opposite/hypotenuse.

OR you can use the rule for 30-60-90 triangle, which is x for short leg, 2x for hypotenuse, and x\sqrt{3} for long leg

So either way, b = 4

To find a, you can use cos(30) = a/8 because cos(angle) = adjacent/hypotenuse.

OR you can use the same rule, 30-60-90 triangle to save time

a will end up = 4\sqrt{3}

You might be interested in
What property is shown 7*(m+9)=(7*m)+(7*9)
SCORPION-xisa [38]

Answer:

This is the distributive property of multiplication.

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
Help plz!! i am stuck and confused plz help!!
fenix001 [56]
525 feet above the ground
7 0
3 years ago
Solve the equations.<br> a. (x − 2)^2 = 9<br> b. 3(x − 2)^2 = 9<br> c. 6 = 24(x + 1)^2
seropon [69]

Answer: a) x = 5 or -1 b) x = √3+2

c) x = -1/2 or -3/2

Step-by-step explanation:

a) (x − 2)² = 9

First step is to take the square root of both sides to eliminate the square

√ (x − 2)² = √9

x-2 = +-3

x = +3+2

x = 5 and;

x = -3+2

x = -1

x = 5 or -1

b) 3(x-2)² = 9

First we divide both sides by 3 to get;

(x-2)² = 9/3

(x-2)² = 3

Second step is to take the square root of both sides to eliminate the square

√(x-2)² = √3

x-2 = √3

x = √3+2

c) 6 = 24(x+1)²

Dividing both sides by 24, we have

6/24 = (x+1)²

1/4 = (x+1)²

Taking the square root of both sides we have

√1/4 = √(x+1)²

= +-1/2 = x+1

x = +1/2-1 = -1/2 and;

x = -1/2-1 = -3/2

x = -1/2 or -3/2

4 0
3 years ago
Amber says 2.76/6 gets an answer of 0.19.Is Amber's answer reasonable. (Choose One) A:No,because 0.2x3=0.6 B:No,because 0.2x6=1.
Butoxors [25]

Answer:

No, her answer is unreasonable because 0.2 * 6 = 1.2

Step-by-step explanation:

Here in this question, we are trying to use an approximation to see if what was said to be the result of a calculation is reasonable as an answer.

Looking at her division, 2.76/6 = 0.19

To the nearest tenth , 0.19 is same as 0.2, now multiplying 0.2 by 6, what we have is 1.2 ( of which even 0.19 * 6 is expected to be less than this). we can see that this value is quite far from our expected answer of 2.76 which makes the answer an unreasonable one

Thus, the division 2.76/6 = 0.19 is not a reasonable answer

5 0
3 years ago
If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).
Stella [2.4K]

Answer:

\boxed{\sf x - 7}

Given:

f(x) = - 3x - 5

g(x) = 4x - 2

To Find:

(f + g)(x)

Step-by-step explanation:

\sf (f + g)(x) = f(x) + g(x) \\ \\   \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  =  - 3x - 5 + 4x - 2 \\  \\  \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  = 4x - 3x - 5 - 2 \\  \\  \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  = x - 5 - 2 \\  \\  \sf \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  = x - 7

7 0
3 years ago
Other questions:
  • Calculate 16% of £50
    6·2 answers
  • Which of the following expressions match the translation “nineteen more than the product of 4 and a number”? 4n + 19 4(n + 19) 1
    10·2 answers
  • How to do the problem
    14·1 answer
  • Suppose an article reported that 14% of unmarried couples in the United States are mixed racially or ethnically. Consider the po
    5·1 answer
  • Which is the equation of a hyperbola with directrices at y = ±2 and foci at (0, 4) and (0, −4)?
    8·1 answer
  • Maria spent 4/7 of her money on a book and saved the rest. What fraction of her money did Maria save?
    5·2 answers
  • Given<br> WXYZ ~ TUVZ, which of the following is not true?
    8·2 answers
  • Solve: negative 1 over 2 x + 1 = −x + 8 (5 points)
    14·1 answer
  • With method please
    9·1 answer
  • CONVERT THE FOLLOWING TERMS FROM RATIO TO FRACTION AND VICE VERSA.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!