A triangle has two sides measuring 8 and 15. The included angle is 33°. What is the length of the side opposite the 33° angle?

Answers

Answer 1

Answer:

Measure of the side opposite to the angle measuring 33° is 9.37 unit

Step-by-step explanation:

If a, b and c are the sides of a triangle,

And 'a' = 8

b = 15

Measure of the Included angle C = 33°

By applying cosine rule in the given triangle,

c² = a² + b² - 2abcos(C)

c² = 8² + (15)² - 2(8)(15)cos(33°)

   = 64 + 225 - 201.28

   = 87.72

c = √87.72

c = 9.266

  ≈ 9.27

Therefore, measure of the side opposite to the angle measuring 33° is 9.37 units


Related Questions

Plzzzz Help
Matthew is planning to build a right triangular flower bed as shown below. He has set up the flower bed so that the following is true. Which of the following statements about the flower bed is true?

Answers

The answer is The length of line segment AB is twice the length
of liar segment oC.
the length of line segment AB is twice the length of
line segment Bc.

Can All mixed numbers can be renamed as decimals?

Answers

Answer:

We can convert a mixed number (or mixed fraction) to a decimal. Strategies to convert mixed fractions to decimals: Change the mixed fraction to an improper fraction and then divide. Convert the fractional part only and then add it to the whole number.

Answer:

Yes

Step-by-step explanation:

Any mixed number that you have, is really the whole number and a set amount of fractions behind it.

If you have 3  [tex]\frac{6}{9}[/tex], then you can change that to 3.6666.... If you have 1  [tex]\frac{1}{2}[/tex], then you can change that to 1.5.

Hope that this helps!

pls help! In the figure below, m∠ABC = 57 degrees and m∠DAB =116 degrees. What is m∠ABC?

Answers

Answer:

59°

Step-by-step explanation:

116-57=59

the outside angle is the 2 inner angles added together

Answer:

59 degrees

Step-by-step explanation:

you can use angle DAB to find out angle BAC by subtracting 180 and 116 to get 64

add 57 and 64 to get 121

subtract 180 and 121 to get 59 degrees.

Someone please! Check the answer twice! I just want one wrong and that’s it please! NO FILES I SWEAR IF SOMEONE ADDS A FILE THEIR GETTIN LA CANCLETA

Answers

Answer:

x = 55, because if you look the whole entire bar is 180° in total but you dont have to worry about that because that's not what the question is wanting you to look at, If you look really close there is a half and half on both sides so that means there is a 90° angle so you would have to take 90-35 and that is what gives you your missing angle which is 55.

Jessica bought 5​ gallons of orange juice. The cost of 1​ quart of orange juice is $2​. How much, in dollars, did Jessica spend on orange juice?

Answers

Answer:

$40

Step-by-step explanation:

convert gallons to quart

1 gallon = 4 quarts

5 x 4 = 20 quarts

total cost = 20 x 2 = $40

Find the area of this shape *

Answers

Answer:

134.1 ft²

Step-by-step explanation:

Fine the area of the square first, then subtract the area of the circle to find the area of the shaded part.

The area of the square

= 25²

= 625 ft²

The radius of the circle

= 25 ÷ 2

= 12.5 ft

The area of the circle

= π × 12.5²

= 490.87385...

= 490.9 ft² (rounded up to the nearest tenth)

The area of the shaded part

= 625 - 490.9

= 134.1 ft²

20 points Answer correct

Answers

Answer:

a

Step-by-step explanation:

sin25=x/18

x=0.4*18=7.6

what is the full form of CRT​

Answers

Answer:

Cathode Ray tube is the answer I think

A normal distribution of 10 and a standard of 1. What is the probability of selecting a number that is at most 9?

Answers

Answer:

0.15866

Step-by-step explanation:

The term at most 9 means = less than or equal to 9

This represented as x ≤ 9

We solve using the z score formula

z = (x-μ)/σ, where

x is the raw score = ≤ 9

μ is the population mean = 10

σ is the population standard deviation = 1

z = 9 - 10/1

z = -1

Probability value from Z-Table:

P(x ≤ 9) = 0.15866

Therefore, the probability of selecting a number that is at most 9 is 0.15866

Write the following expression using rational exponents. ^7√y^4= y^ The numerator of the exponent is Select a Value The denominator of the exponent is Select a Value.​

Answers

Answer: The Numerator of The Exponent =4

The Denominator of The Exponent= 7

Step-by-step explanation:

Arianna solved a fraction division problem using the rule " multiply by the reciprocal ". Her work is shown below 2/3 divided by 4/5 2/3 x 4/5 = 8/15

Answers

Answer:

2/3 divided by 4/5 = 5/6

Step-by-step explanation:

Arianna working:

2/3 divided by 4/5

= 2/3 x 4/5

= 8/15

Correct working:

2/3 divided by 4/5

= 2/3 ÷ 4/5

Multiply 2/3 by the reciprocal of 4/5

= 2/3 × 5/4

= (2*5) / (3*4)

= 10/12

= 5/6

2/3 divided by 4/5 = 5/6

Arianna's mistake was she didn't multiply by the reciprocal of 4/5


a pair of shoes cost
$74.99 and tax is
9%. What is the
total cost of the shoes?

Answers

Answer:

i believe the answer is $81.74

Step-by-step explanation:

74.99*9%

= 6.7491

74.99+6.7491

=81.7391

=$81.74

good luck :)

i hope this helps

brainliest would be highly appreciated

have a nice day!

help please.

giving brainliest

Answers

Answer:

17 qt

Step-by-step explanation:

NEED HELP ASAP !!

A. x=14; angle measure is 30°
B. x=14; angle measure is 42°
C. x=14; angle measure is 30°
D. x=10; angle measure is 42°​

Answers

Answer:

C

Step-by-step explanation:

i dont really know anything about angles but it looks like the 3x is the exact same angle as 30 degrees on the other side of it

3x=30

x=10

c i believe if you need an explanation lmk

What is the initial value of the function represented by this graph?
~ 5
~ 2
~ 0
~ 1​

Answers

i would say 2 because it’s the y intercept
i’m sorry if it’s wrong :/

easy algebra question below first correct answer gets brainliest

Answers

Answer:

x  ≈ ± 3.87

Step-by-step explanation:

Given

x² - 3 = 12 ( add 3 to both sides )

x² = 15 ( take the square root of both sides )

x = ± [tex]\sqrt{15}[/tex]

Then x ≈ 3.87 or x ≈ - 3.87 ( to 2 dec. places )

A car travels about 63 feet in one second. At this speed about how many feet will the car travel in 7 seconds.

Answers

Answer:

441 feet

Step-by-step explanation:

First we need to make this word problem into just numbers. Since we know feet per second (fps) we will multiply this by the given amount of seconds to find the answer

63 × 7

Now solve

After solving you should get 441 which is the answer

                                                      *EXTRA*

I have included a graph but it is hard to use since it is such a narrow line but still helpful since there is the equation included

Working alone, Darryl can mop a warehouse in 11 hours. Elisa can mop the same warehouse in 9
hours. If they worked together how long would it take them?

Answers

Answer:

≈ 5 hours

Step-by-step explanation:

Time needed if they work together:

1 / (1/11 + 1/9) = 1/ (20 / 99) = 99/20 ≈ 5 hours

The local grocery store sells a gallon of milk for 2.94 if my family drinks 1.5 gallon of milk every week how much will they spend on milk for 4 weeks

Answers

Answer:

$17.64

Step-by-step explanation:

First multiply 2.94 and 1.5 to find the price for 1.5 gallon os milk.

2.94 x 1.5 = 4.41

Then you multpily by 4 to see the balance after 4 weeks

4.41 x 4 = 17.64

If the number of bacteria in a colony doubles every 480 hours and there is currently a
population of 200 bacteria, what will the population be 960 hours from now?

Answers

Answer:

800

Step-by-step explanation:

960 = 2 x 480, so the bacteria will double twice

200 x 2 x 2 = 800

800 bacteria is the correct answer

hope it helps you

Kevin is painting a border around his dining room. What measurement does Kevin need to know about the wall before he starts?
1: Area
2: Volume
3:Perimeter

Answers

Answer:

Perimeter

Step-by-step explanation:

Perimeter is the distance around an object. In this scenario the object in question would be Kevin's dining room.  Keyword for perimeter here is around.

Perimeter

This is because Perimeter is the amount around the space and everything

answer for 40 points!!!​

Answers

Answer:

a)47/8

b)53/12

c)31/6

d)53/6

e)68/5

f)64/9

Step-by-step explanation:

Answer:

First add the fraction then the whole number

Step-by-step explanation:

a)47/8

b)53/12

c)31/6

d)53/6

e)68/5

f)64/9

Please help i rlly need help

Answers

Answer:

Light, Volume

Step-by-step explanation:

The volume of sound; the loudness or softness of a musical passage.

A bag has 6 red rocks, 1 orange rock, 4 blue rocks, 1 white rock, and 7 yellow rocks. You randomly pull a rock from the bag, keep it out and then pull out another one. What is the probability of not getting a orange and then not getting a orange?

Answers

Answer: 17/19

Step-by-step explanation:

Number of red rocks = 6

Number of orange rock = 1

Number of blue rocks = 4

Number of white rock = 1

Number of yellow rocks = 7

Total number of rocks = 19

Probability of not getting a orange the first time will be (1 - 1/19) = 18/19.

Probability of not getting an orange the second time will be: (1 - 1/18) = 17/18

Probability of not getting an orange on both occasion will be:

= 18/19 × 17/18

= 17/19

help please :/
jejsjsj

Answers

Answer:

-6

-21

12

Step-by-step explanation:

can i get brainly

Answer:

- 6, - 21, 12

Step-by-step explanation:

(1)

2x - 7 = - 19 ( add 7 to both sides )

2x = - 12 ( divide both sides by 2 )

x = - 6

(2)

[tex]\frac{x}{-3}[/tex] + 5 = 12 ( subtract 5 from both sides )

[tex]\frac{x}{-3}[/tex] = 7 ( multiply both sides by - 3 to clear the fraction )

x = - 21

(3)

[tex]\frac{3}{4}[/tex] x - 5 = 4 ( add 5 to both sides )

[tex]\frac{3}{4}[/tex] x = 9 ( multiply both sides by 4 to clear the fraction )

3x = 36 ( divide both sides by 3 )

x = 12

t−7≤12
asap please hjvgjuiohkbjknl m kl;m

Answers

Answer:

t is less  than or equal to 19

Step-by-step explanation:

t-7<12

+7

t is less than or equal to 19

Find the difference:
3 4/6 - 1/6
O A. 21 / 1
O B. 273
O c. 3 1 / 3
N-
D. 34
E. 3
O E. 3

Answers

Answer:

3 1/2

Step-by-step explanation:

4 1 3

_ - _ = _

6 6 6

Then we simplify. 3 3 1

_ ÷ = _

6 3 2

Then just add your 3 and there 3 1/2 is your asnwer

The difference between 3 4/6 and 1/6 will be 3 1/2.

Given numbers are:

(1)[tex]3\frac{4}{6}[/tex] [tex]=\frac{22}{6}[/tex]

(2)[tex]\frac{1}{6}[/tex]

What is a fraction?

A fraction is a part of a whole.

The Difference between [tex]3\frac{4}{6}[/tex] and [tex]\frac{1}{6}[/tex] will be = [tex](\frac{22}{6} )-(\frac{1}{6} )[/tex]

[tex]=\frac{22}{6} -\frac{1}{6}[/tex]

[tex]=\frac{21}{6}[/tex]

[tex]=\frac{7}{2}[/tex]

[tex]=3\frac{1}{2}[/tex]

Hence, the difference between 3 4/6 and 1/6 will be 3 1/2.

To get more about fractions visit:

https://brainly.com/question/78672

Solve the rational inequality x-2/x + x+2/x+3 < 3/2 represent your answer using a number line and using interval notation

Answers

Answer and explanation:

To solve the inequality x-2/x + x+2/x+3 < 3/2 we have to first simplify the expressions on the left side of the inequality sign. And so we multiply x by the expressions on the left side to eliminate fractions:

=x(x-2/x)+x(x+2/x)+x(3)< 3/2

=x-2+x+2+3x < 3/2

=5x < 3/2

x < 3/2/5

x < 3/2×5/1

x < 15/2

x < 7 1/2 or 7. 5

A cylindrical metal pipe has a diameter of 8.4 millimeters and a height of 10 millimeters. A hole cut out of the center has a diameter of 6 millimeters. A smaller cylinder is cut out of a larger cylinder. The smaller cylinder has a diameter of 6 millimeters. The larger cylinder has a diameter of 8.4 millimeters. Both cylinders have a height of 10 millimeters. What is the volume of metal in the pipe? Use 3.14 for and round the answer to the nearest tenth of a cubic millimeter. 282.6 mm3 271.3 mm3 553.9 mm3 836.5 mm3

Answers

Answer:

its b

Step-by-step explanation:

got it right on edge

The volume of the metal in the cylinderical pipe given the dimensions of the larger and smaller cylinders is 271.30 mm³.

What is the volume of the cylinder?

A cylinder is a three-dimensional object. It is a prism with a circular base.

Volume of a cylinder = nr^2h

Where:

n = 22/7 r = radius = diameter / 2

The volume of the metal in the cylinderical pipe = 3.14 x 10 x [(8.4/2)² - 6/2)²] = 271.30 mm³

To learn more about to determine the volume of a cylinder, check: https://brainly.com/question/9624219

#SPJ2

the expression cos x (cos x - tanx sin x) simplifies to...

Answers

Answer:

cos(2x)

Step-by-step explanation:

The simplified expression is

How to evaluate trigonometric expression?

A Trigonometric expression consists of sin, cos and various other parameters which can be simplified using identities.

Given expression:

cos(x){cos(x)-tan(x)sin(x)}

Evaluation:

[tex]cos(x)(cos(x)-\dfrac{ sin(x)*sin(x)}{cos(x)})[/tex]

[tex]cos(x)(\frac{cos^{2} x-sin^{2}x}{cos(x)} )[/tex]

[tex]cos^{2}x-sin^{2}x[/tex]

[tex]cos2x[/tex]

Therefore, the given expression simplifies to cos2x.

To know more about trigonometric expressions refer:https://brainly.com/question/12542599

#SPJ2

Other Questions
v=U + atu= 2a = -5t = 1Work out the value of v. An orchard has 986 orange trees. The number of rows exceeds the number of trees per row by 5 . How many trees are there in each row? A basketball stadium has 15 ,002 zero seats the lower level has 54 than three times as many seats as the upper level the middle level has 40 more than twice as many seats as the upper level used to solve for x and found that the upper level has 2,502 sears Pls help if u cannnnnnnnnnnnnnnnn What is the importance of working as a team? I NEED EXAMPLES! GIVING BRAINLIEST! Excel Online Structured Activity: Capital budgeting criteria A company has a 11% WACC and is considering two mutually exclusive investments (that cannot be repeated) with the following cash flows: 0 1 2 3 4 5 6 7 Project A -$300 -$387 -$193 -$100 $600 $600 $850 -$180 Project B -$405 $132 $132 $132 $132 $132 $132 $0 The data has been collected in the Microsoft Excel Online file below. Open the spreadsheet and perform the required analysis to answer the questions below.1. What is each project's NPV? Round your answer to the nearest cent. Do not round your intermediate calculations.2. What is each project's IRR? Round your answer to two decimal places3. What is each project's MIRR? Which best describes the error in finding the surface area of the cylinder? T^T Please help me with this problem. Do not send me a link to some random website. I do not trust the link given that requires me to download it nor does Brainly allow links to websites other than itself to be on its community or whatever. write the root of x in ax^2+bx+c=0 Sorry guys new one thank you math people your the best you guys save my life :) how did atomic bombs lead to conflict between the soviet union and the u.s. Looking at the provided pictures and charts, how would you describe an African slave's trip across the Atlantic? What kind of shape would they be in when presented to the slave auctions?plss me help me pls Reggie is getting his first paycheck. He does not understand the difference between gross and net pay. In paragraph form explain what the differences are and how they are calculated. Delias paycheck of $348 i automatically deposited into her checking account right before the check was deposited her account balance was $143 she deposited a check of $25 into her account that same day she withdrew $95 from her account what was delias account balance before all these transactions Explain how the sun determines climate distribution. What type of weather conditions does the sun control? A square has an Area of 49 square feet. What is the measure of a side length? * A triangle has sides with lengths of 26 inches, 73 inches, and 76 inches. Is it a right triangle? A. Using the molecular data, make a general statement that compares the "human-kangaroo" relationship ("H-K")to the "human-frog" ("H-F") relationship. B. Does the cladogram agree with this statement? _______ C. Explain your reasoning. PLEASE HELP Which of the following wasoccurring in Europe priorto the start of WWI in1914? 1.copain travaille avec nous.2. Elle achte toujourslivres ici.3.femme est anglaise.4. Je vais apportercadeau Paul.5. Nous prparonsgteaux pour le djeuner.6.professeur est trs populaire.7. Apportes-tudcorations pour la fte?8.montre est une bonne ide pour l'anniversaire de ta mre.9. Regardetudiant. Il part tudier en France.10.glace au chocolat est dlicieuse.