Right triangle ABC has hypotenuse AB = 12 and acute angle A = 75°. Find
Leg CB

Answers

Answer 1

Answer:

Leg CB = 11.59 unit (Approx.)

Step-by-step explanation:

Given:

ABC is a right triangle

Hypotenuse AB = 12

Acute angle A = 75°

Find:

Leg CB

Computation:

Using trigonometry function;

Sin θ = Perpendicular / Hypotenuse

Sin 75 = Perpendicular / 12

0.9659 = CB / 12

Leg CB = 11.59 unit (Approx.)


Related Questions

one number is 2 more than another. the difference between their square is 36. what are the numbers

Answers

x=y+2
y^2-x^2=36
Y^2-(Y+2)^2=36
-2y-4=36
y=-20
x=-18

Pls answer a and b I will give brainliest answer

Answers

Answer:

a. True, b. y = (-1/2)x + 8

Step-by-step explanation:

Because the graph is a straight line, that means that the graph is in fact proportional. For the equation, take the form y = mx+b. Plug in the slope, which is -1/2, and the y-intercept, which is 8, which would give you the equation y = (-1/2)x + 8.

Answer:

1) not proportional - not starting from origin

2) (2,8) - i did it in coordinates

have a great day

In 2020, you purchase a car for $8000. The value of the car depreciates by 4% each year. What will the approximate value of the car be in 2027? *

Answers

Answer:

Step-by-step explanation:

I WILL GIVE BRAINLIEST!! :>
A baker uses 2/7 of a bag of sugar for every batch of cookies. The baker used 4 2/7 bags of sugar yesterday. How many batches of cookies did the baker make?​

Answers

Answer:

15

4 2/7=  30/7

30/7 times 7/2= 15

the length of a rectangle is 6 feet longer than its width the perimeter is less than 48 feet write a mathematical expression for the width of the rectangle

Answers

The correct answer s 60 it is correct trust me

Find anequation of the line containing (3,-4) and having slope -2. If this line
contains the points (2,8) and (5.b), find a and b.​

Answers

Answer:

A linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we want to have a slope equal to -2, then our line will be something like:

y = -2*x + b

Now, we also want this line to pass through the point (3, -4)

This means that when x = 3, we must have y = -4

Then:

-4 = -2*(3) + b

-4 = -6 + b

-4 + 6 = b

2 = b

Then our line is:

y = -2*x + 2

Now, the second part says that:

If this line  contains the points (2,8) and (5.b), find a and b.​

This is incorrectly written because this line clearly does not contain the point (2, 8), so i guess the actual problem is something like:

If this line  contains the points (a,8) and (5.b), find a and b.​

If the line contains the point (a, 8), this means that when y = 8, we must have x = a.

Then:

8 = -2*a + 2

8 - 2 = -2*a

6 = -2*a

6/-2 = -3 = a

a = -3

Similar reasoing for the other point, if the line contains the point (5, b), this means that when x = 5, we have y = b.

Then:

b = -2*5 + 2 = -10 + 2

b = -8

Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time. Suppose that six of these individuals are randomly assigned to a particular examiner, and let X be the number among the six who are taking the test for the first time. a. What kind of a distribution does X have (name and values of all parameters)

Answers

Answer:

X has an hypergeometric distribution, with parameters:

Size of the population is N = 18.

Size of the sample is n = 6.

Number of successes n is k = 8.

Step-by-step explanation:

The people are chosen without replacement, which means that the hypergeometric distribution is used.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Eighteen individuals are scheduled to take a driving test at a particular DMV office on a certain day, eight of whom will be taking the test for the first time.

This means that [tex]N = 18, k = 8[/tex]

We consider a success being a person taking the test for the first time, because X is the number among the six who are taking the test for the first time.

Suppose that six of these individuals are randomly assigned to a particular examiner.

This means that [tex]n = 6[/tex]

a. What kind of a distribution does X have (name and values of all parameters)

X has an hypergeometric distribution, with parameters:

Size of the population is N = 18.

Size of the sample is n = 6.

Number of successes n is k = 8.

Can someone help me? =)

Answers

The letters A,B and C

Cody's Seafood House purchases
shrimp for $5.00 per pound. If the
shrimp is marked up 65% how much,
will guests pay for 2 pounds of
shrimp ?

Answers

Answer:

Try this

Step-by-step explanation:

So what you have to do is turn 65% into a decimal. 65% as a decimal is 0.65.

Then what you want to do is divide 5.00 and 0.65 and see what you get.

5×65%=3.25
3.25+5=8.25
8.25×2=16.5

Therefore, your answer is "The guests will pay $16.50 for 2 pounds of shrimp".

There were 208 sixth graders who attended the school dance. If this was 65% of the whole 6th grade, how many 6th graders are there?

Answers

Answer:

320

Step-by-step explanation:

x = y/%

x = 208/65%

65% = 0.65

x = 208/0.65

x = 320  

0.2 as a fraction (out of 100)

Answers

Answer =2/1000

Step-by-step-explanation

Solve: x + 6 = -11
May I please have help with this?!

Answers

Answer:

x=-17

Step-by-step explanation:

subtract 6 from each side and simplify and you'll get -17

X=-11-6
X=-17







Nabahabshshsh

Thirty eight years ago George was 14. how old is he now

Answers

Lol I think it’s 38 I mean yeah right? It says thirty eight years ago which means he talking about the present

Answer:

I believe you need to add 38 and 14 together to get answer of 52 years old.

Suppose you know that 10% of 250 is 25. How could you use
that information to find 30% of 250?

Answers

Answer:

triple the answer

Step-by-step explanation:

.1×250=25

.3×250= 75

25×3=75

Solve the inequality. y - 28 > 53

y > 28

y > 53

y > 81

y > 25

Answers

Answer:

y > 81

Step-by-step explanation:

82 - 28 = 54

So, 54 > 53

(I don't know how to explain this properly but this is the answer)

Insert one term between -13 and -119 to create an arithmetic sequence of three terms.

Answers

Answer:

-66

Step-by-step explanation:

- 13, ____, -119

first, find the common difference:

-13 - (-119) = 106

next, divide 106 by 2: [tex]\frac{106}{2}[/tex] = 53

so, the common difference is 53.

now, subtract 53 from -13:

-13 - 53 = -66

Answer:

-66

Step-by-step explanation:

the sequence goes -13,-66,-119

just subtract with 53

(decreasing arithmetic sequence)

A store sold 14 more colored shirts than white shirts. The white shirts cost $9.95 and colors cost $10.50. If a total of $310.60 were sold, how many of each type were sold?

Answers

9514 1404 393

Answer:

8 white shirts22 colored shirts

Step-by-step explanation:

Let c represent the number of colored shirts sold. Then c-14 is the number of white shirts sold. The total revenue is ...

  10.50c +9.95(c -14) = 310.60

  20.45c -139.30 = 310.60 . . . . . . simplify

  20.45c = 449.90 . . . . . . . . . . add 139.30

  c = 22 . . . . . . . . . . . . . . . . . divide by 20.45

  c-14 = 8

22 colored shirts and 8 white shirts were sold.

pls answer any that you can!!!

Answers

Answer:

12, 45, 1.8, -9, 18

Step-by-step explanation:

up up down down left right left right  b a start

18 ÷ {[(7 × 2) − (26 ÷ 2)] + 1} =

Answers

Answer:

9

Step-by-step explanation:

18 ÷ {[(14) - (13)] + 1}

18 ÷ {1+1} =

18 ÷ 2 = 9

Hope that helps!    

9 answer is 9 good luck

Ms. Jenkins stocks a pond with fish. For every 6 bluegill fish, she puts in 1 rock bass fish. Does this ratio mean that Ms. Jenkins puts 6 bluegill fish into the pond? Explain your reasoning.

Answers

Answer:

Ms. Jenkins puts for every 6 bluegill fish one rock bass fish so she puts the number multiple of 7


Please answer right I will reward with brainalist + 10 points

Answers

Answer:

Complementary angles

Step-by-step explanation:  Two angles that = 90 degrees is the definition or complementary.  Supplementary is 180 degrees.  Vertical is just a straight angle.  The reason why it isn't a right angle is because a right angle is one individual angle not 2 or more equaling 90 degrees.

help me plz with that ​

Answers

I’m really sorry but I can only narrow it down to economic and coercive. I’m leaning closer to coercive because it does seem more of a threat rather than a fact.

Which expression is equivalent to -1/3(6x + 15) - 3?

Answers

Answer:

6-x=0

Step-by-step explanation:

-2x+12=0(divide by 2)

6-x=0

Answer:

D is the answer
-2x-8

Step-by-step explanation:

I hope this helps! ^^

Find the slope of the line that passes through (1, 11) and (9, 10).

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:

i think it would be negative. -1/8

Find the exact value of tan 67.5° trig

Answers

Answer: 1 + [tex]\sqrt{x} 2[/tex]

I need help!
Can you help me please!

Answers

Answer:

Step-by-step explanation:

If you use the Puythagorean Theorem, you know that 3^2+3.75^2=X^2 (with X being the hypotenuse)

Then, you simplify and add. you should get 23.0625=X^2

After that you √ (square root) both of them and you get 4.80234318=X

Find the volume of the figure

Answers

Answer:

66 ft³

Step-by-step explanation:

The figure can be divided into a cuboid and a triangular prism.

Volume of the cuboid = l × w × h

Where l = 6ft, w = 3 ft and h = 2 ft

Volume = 6 × 3 × 2 = 36 ft³

Volume of  the triangular prism = Cross sectional area × Width

Where Cross sectional area = 0.5 × 10 ft × 2 ft and Width  = 3 ft

Volume = 10 × 3 = 30 ft³

Total volume = Volume of the cuboid + Volume of the triangular prism

∴ Volume of the figure = 66 ft³


Tennis practice last for 1 hour and 35 minutes

Answers

Answer:

Where's the rest of this question??

Jared bakes 2 apple pies he cuts the 2 pies into pieces each pieces is 1\8 of a pie​

Answers

So out of the 2 pies there would be 16 pieces

Answer:

there is 16 pieces

Step-by-step explanation:

Help please its math triangles..​

Answers

Answer:

28

Step-by-step explanation:

Add the top and bottom bases, divide by 2, multiply by height.

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