Find the measure of side c. Triangle A B C has a right angle at angle C. The measure of angle A is 29 degrees. Hypotenuse A B is labeled "c" and leg B C is labeled "a = 33 meters." 29 o c a = 33 m

Answers

Answer 1

Given:

In triangle ABC, right angle at angle C.

[tex]a = 33[/tex] meters

[tex]m\angle A=29^\circ[/tex]

To find:

The measure of side c.

Solution:

In a right angle triangle,

[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

It is also written as:

[tex]\sin \theta =\dfrac{Opposite}{Hypotenuse}[/tex]

In triangle ABC, angle C is a right angle. It means the side c is the hypotenuse.

In triangle ABC,

[tex]\sin A=\dfrac{a}{c}[/tex]

[tex]\sin 29^\circ=\dfrac{33}{c}[/tex]

[tex]c=\dfrac{33}{\sin 29^\circ}[/tex]

On further simplification, we get

[tex]c=\dfrac{33}{0.4848}[/tex]

[tex]c=68.0693[/tex]

[tex]c\approx 68.07[/tex]

Therefore, the measure of side c is 68.07 meters.


Related Questions

MEAN #NIGHTMAREEEEEEEEEEEEEEEEEEE 50 POINTS FOR REAL

Answers

The following steps will show you how to calculate the sample mean of a data set:

Add up the sample items.

Divide sum by the number of samples.

The result is the mean.

Use the mean to find the variance.

Use the variance to find the standard deviation.

Answer:

The following steps will show you how to calculate the sample mean of a data set:

Add up the sample items.

Divide sum by the number of samples.

The result is the mean.

Use the mean to find the variance.

Use the variance to find the standard deviation.

Step-by-step explanation:

The guy up there did good. I used 100pts to ask a question not 50

How do you write 0.000010 in scientific notation?

Answers

Answer:

1 × 10^(-5)

Step-by-step explanation:

The scientific notation of the given number is 1.0×10⁻⁵.

What is scientific notation?

Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.

The given number is 0.000010.

Here, scientific notation is

1.0×10⁻⁵

Therefore, the scientific notation of the given number is 1.0×10⁻⁵.

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Use the relationships between the angles to find the value of . 75° 40 X 15 degrees​

Answers

Answer:

x = 65

Step-by-step explanation:

All angles in the triangle equal 180

Set up your formula as

180 = x+75+40

180-75-40=x

65=x

How do I write the answer out in explanation form

Answers

The above answer is right

Can someone help me out my grads are bad

Answers

2880 square yards!! i’m pretty sure that’s the answer

1. last question. please help me out thank you. ill mark you brainlist

Answers

Answer:

-7

Step-by-step explanation:

Answer:

x = -7

Step-by-step explanation:

3x + 6 = x - 8

-x -x

(subtract x from both sides)

2x + 6= −8

-6 -6

(subtract 6 from both sides)

2x = -14

/2 /2

(divide 2 by both sides)

x = -7

hope this helped!

please please please help!

AD = ___ units

Answers

I believe it’s 5 units sorry if I’m incorrect

find the volume of the prism in cumbic centimeters

Answers

Answer:

351cm³

step by step explanation:

Volume of the prism:

=[1/2×(a+b)×h]×l

=[1/2×(5+8)×6]×9

=(1/2×13×6)×9

=(6.5×6)×9

=39×9

=351cm³


21 3/5 is what percent of 40?

Answers

Answer:

21.6 is 54% of 40.

Step-by-step explanation:

HOPE THIS HELPS!!!

Have a great day!

- Hailey: )

if x = -2, what does -x mean

Answers

Answer:

-x = 2

Step-by-step explanation:

If,

x = -2

Then,

-x = -(-2)

=> -x = 2 (Ans)

A table measures 76.2 centimeters in length. Write an equation to find the length of the table in inches. Solve the equation. Show your work.

(1 inch = 2.54 centimeters)

Answers

Answer:

76.2 / 2.54 = 30

Step-by-step explanation:

(Centimeters of table) / (Centimeter to inch conversion rate) = (Inches of table)

AYUDA estoy atrapada!!!!!!!!!!!
Resuelve las siguientes ecuaciones
a) 2 000 + x = 3x – 1 000
b) 5m -7 = 13 – 3m
c) 6n +6 = 4n +12
d) 7x + 12 = 5x + 20
e) 5x + 3 = 2x + 9

Answers

Answer:

a) x = 1500

b) m = 2.5

c) n = 3

d) x = 4

e) x = 2

Step-by-step explanation:

Just remember that whatever you do to one side of the equation, you must do to the opposite side. Your aim is to isolate x.

A bathtub is in the shape of a rectangular prism. The volume of the bathtub is 72 cubic feet.
The area of the base of the bathtub is 24 square feet.
What is the height of the bathtub in feed?
6 ft
9 ft
4 ft
3 ft

Answers

Answer:

3 ft

Step-by-step explanation:

volume of prism = area of base × height

or, 72 = 24 × height

or, 72 ÷ 24 = height

height = 3ft

Answer:

3ft

Step-by-step explanation:

brainliest goes to whoever answers the question correctly also if you want more points answer my other questions

Answers

Answer:

B

Step-by-step explanation:

Amanda does start with 30 homework questions

She does complete 3 questions every 2 minutes

After 10 minutes she has completed half of her questions

But she does not finish 2 questions every 3 minutes

hope this helps <3

I really really really need your help

Answers

1 2/3 divided by 5/6 = 2

In a group of 24 people, 10 study
Physics, 15 study Chemistry and
18 study at least one subject.
Find the number of people who
do not study any of the subject.
Show steps pls

Answers

Answer:

n = 24

p(a) = 10/24

p(b) = 15/24

[ p(a) + p(b) - [p(a) ×p(b)] ] -1 = answer

[ 35/24 - 6/24 ] -1 = 39/24 - 24/24 = 5/24

Answer:   6

=================================================

Explanation:

There are 24 people total and 18 of them study at least one subject. So that must mean 24 - 18 = 6 people do not study any of the subjects mentioned.

The values of 10 and 15 aren't used at all.

In summer, the price of strawberries goes up by $1.25 per pound. Sam bought two pounds of strawberries at the new price for $8.46. Write an algebraic equation to determine the original price per pound (s). Use the equation to find the original price per pound.Show your work.

Answers

Answer:

The original price was $7.21

Step-by-step explanation:

8.46-1.25= 7.21

Subject is Trigonometry. Solve for X.

Answers

Answer:

16.3°

Step-by-step explanation:

Cos x = adjacent side/hypotenuse

         = 24/25

x = arccos (24/25) = 16.3°

You must memorize the definitions of the trig functions and then this type of problem is easy.  OK?

Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108.

Answers

The question is incomplete. Kindly see the correct question below

Chanel found a used bookstore that sells pre-owned DVDs and CDs. DVDs cost $9 each, and CDs cost $6 each. Chanel can spend no more than $108 Write an inequality that represents this

Answer:

9D +6C < 108

Step-by-step explanation:

Let the price of Dvd be D

Let the price of CDs be C

Hence the inequality can be represented as follows

9D + 6C < 108

Lena has two coupons for pants.
Coupon A: 45% off of $47 pants
Coupon B: $25 rebate on $47 pants
Choose the coupon that gives the lower price.

Answers

Answer:

coupon A

Step-by-step explanation:

coupon A 45%÷100=0.45 so 0.45×47= gives 21.15. coupon B 25÷2=23.50 so that the solution the lower price is coupon A $21.15

The expression (1.2045) models the interest charged for a student loan over time, t, in years. Which of the followilly
situation? Select all that apply.
The yearly interest rate is about 16%
The daily interest is about 0.04%
The yearly interest rate is about 116%
The monthly interest rate is about 1.2%
The daily interest rate is about 1.0004%

Answers

the answer is A i hope u got it right

HELP!!!
Which of the following represents the asymptote of the graph

Answers

x=2 or y=-1
these are the points that the graph avoids

Michael is writing an article for the school newspaper. He wants to know which subject (math, reading, science, history, or physical education)
is most liked. He is trying to decide who to survey.

Which population sample does NOT produce a biased result?

A. He asks the school’s teachers
B. He asks his friends after school
C. He asks the students in his math class
D. He asks students he meets in the hallways
E. He asks every fifth student arriving at school

Answers

Answer: E is the answer

Step-by-step explanation:

The population sample that does not produce a biased result is when he asks every fifth student arriving at school. The correct option is E.

What is a survey?

Surveys can be used to determine how representative each person's opinions and experiences are.

When conducted properly, surveys offer precise data about people's beliefs and actions that can be utilized to inform significant decisions.

A huge population's characteristics can be described through surveys. No other research methodology can offer such a wide range of capabilities.

This guarantees a more accurate sample to collect focused results from which to draw conclusions and make significant judgments.

Survey bias is when a question is worded or presented in a way that encourages individuals to select one response over another.

The same holds true if your queries are challenging for customers to comprehend and honestly answer.

As, when he asks every fifth student arriving at school, it can lead to an unbiased result.

Thus, the correct option is E.

For more details regarding survey, visit:

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GIVING BRAINIEST IF CORRECT!!!!!

Ciara is making a new outfit for dance. She needs 2 1/2 yards of fabric for the shawl. She needs 1 3/4 yards of fabric for the dress. If she has 3 yards of fabric, how much more does she need?
A. 7 1/4 yards
B. 1 1/4 yards
C. 2/3 yards
D. 2 2/3 yards

Answers

2 1/2 + 1 3/4= 4 1/4

4 1/4 - 3= 1 1/4

ANSWER:
B. 1 1/4 yards

10.In Star School, the ratio of students who bring
lunch from home to those who buy it at tuck-shop
is 11:3. If 87 buy their lunch, how many students
are there at the school?​

Answers

Answer:

There are 406 students in the school

Step-by-step explanation:

Let the number of students in the school be x

The total ratio is 11 + 3 = 14

The ratio that buys lunch is represented by 3

So, we have it that;

3/14 * x = 87

3x = (14 * 87)

x = (14 * 87)/3

x = 406

Write the decimal -0.43-- as a fraction in simplest form​

Answers

Answer:

Step-by-step explanation:.12=12/100...3/25

1.4=14/10...7/5

0.57=57/100...

a, b, and c are all vectors that have the same direction.
a + b = c
The magnitude of a = 6 and the magnitude of b = 8.
Find the magnitude of c.

Answers

Answer:

14 = c

Step-by-step explanation:

it is just like u said;

a + b = c

6 + 8 = c = 14

(it could also be 8-6 = c = 2)

Question 8 of 25
If a sample mean is 96, which of the following is most likely the range of
possible values that best describes an estimate for the population mean?
O A. (76, 108)
O B. (82, 114)
O C. (78, 110)
O D. (80, 112)

Answers

d makes the most sense

The correct range is (80, 112).

The correct option is (D).

What is mean?

Mean is also said to be arithmetic mean. The meaning of mean is to evaluate the average. It is defined as the average of the given numbers.

As per the given data:

We are given the mean of the sample.

The mean of the sample = 96

In each option, a range is given.

We have to find out which is the correct range for the given mean.

For a range (a, b) the mean is given by:

mean = (a + b)/2

By using the above definition and checking all the options:

For (76, 108)

mean = (76 + 108)/2 = 92, Not the correct range

For (82, 114)

mean = (82 + 114)/2 = 98, Not the correct range

For (78, 110)

mean = (78 + 110)/2 = 94, Not the correct range

For (80, 112)

mean = (80 + 112)/2 = 96, The correct range

The correct range is (80, 112).

Hence, the correct range is (80, 112).

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56 students signed up to go on the class trip. If this is 70% of the class, how students are in class?

Answers

Answer:

80 is the answer I believe

Answer:

80. 56 students signed up to go on the class trip. If this is 70% of the class, how students are in class?

A trapezoid has a height of 12 feet,
and base measurements of 15 feet and
10 feet. What is the area?
[?] square feet
Hint: The formula for the area of a traxzod is to

Answers

▬▬▬▬▬▬▬▬▬▬▬▬▬▬

Given :

→ Base = 15 and 10

→ Height = 12

To Find :

→ Area of trapezoid

Solution :

Area of Trapezoid = (a + b)/2 × h

= (15 + 10)/2 × 12

= 150 ft²

∴ The area of Trapezoid is 150 ft²

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