All categories

3 years ago

Suppose a triangle has two sides of length 32 and 35, and that the angle

Mathematics

1 answer:

pantera1 [17]3 years ago

3 0

Answer:

The third side is around 58.043

Step-by-step explanation:

Use the law of cosines: $c^2=a^2+b^2-2abcos(C)$

Plug in the two sides we know (into a and b) and the angle we know (into angle C).

Thus:

$c^2=32^2+35^2-2(32)(35)cos(120)$

Use a calculator:

$c^2=3369\\$

$c=58.043087...$

(Note: Make sure you're in Degrees mode.)

You might be interested in

Titus has a rectangle peice of fabric 3/4m long and 2/5m wide. He cuts three equal. express your answer as a friction in its sim

jek_recluse [69]

Answer:

( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)(´;︵;`)

6 0

3 years ago

Read 2 more answers

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighb

Sedbober [7]

Option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

<h3>What are the variance and standard deviation? </h3>

In statistics, variance is a measure of the variation of data from the mean, whereas standard deviation is the measure of the normal distribution of statistical data.

A contractor records the areas, in square feet, of a small sample of houses in a neighborhood to determine data about the neighborhood.

2,400; 1,750; 1,900; 2,500; 2,250; 2,100

we need to find which of the following represents the numerator in the calculation of variance and standard deviation.

(225 $)^{2}$ + (–425 $)^{2}$ + (–275 $)^{2}$ + (325 $)^{2}$ + (75 $)^{2}$ + (–75 $)^{2}$ = 423,750

(650 $)^{2}$ + (–150 $)^{2}$ + (–600 $)^{2}$ + (250 $)^{2}$ + (150 $)^{2}$ + (–300 $)^{2}$ = 980,000

(250 $)^{2}$ + (–400 $)^{2}$ + (–250 $)^{2}$ + (350 $)^{2}$ + (100 $)^{2}$ + (–50 $)^{2}$ = 420,000

92416.60

The variance is 84000

The standard deviation is 290

mean = (2400+1750+1900+2500+2250+2100)/6

mean = 2150

Subtract the data values from the mean to get

2400-2150 = 250

1750-2150 = -400

1900-2150 = -250

2500-2150 = 350

2250-2150 = 100

2100-2150 = -50

The differences are 250, -400, -250, 350, 100, -50

Then you square those values and add up the squares

(250)^2 + (-400)^2 + (-250)^2 + (350)^2 + (100)^2 + (-50)^2 = 420,000

Hence, option c is the correct answer which represents the numerator in the calculation of variance and standard deviation.

Learn more about variance;

brainly.com/question/14116780

8 0

2 years ago

A high school math class has 28 students: 18 seniors and 10 juniors. What is the probability that four randomly selected student

aniked [119]

Answer:

18/28, or percentage wise, approximately 64.2%

Step-by-step explanation:

Take the seniors and divide it by the total # of students, and you got your probability!

7 0

3 years ago

Point X is the incenter of ΔABC.

Gnoma [55]

The measures of GX = 13

The measures of $\angle ABX=22^0$

EX = 4z + 1 and XF = 2z + 7

Take EX and XF equal time each other and then solve for z and then you will get GX because EX = XF = GX are congruent.

EX = XF

<h3>What is congruent?</h3>

Two figures or objects are congruent if they have the same shape and size, or if one has the same shape and size as the mirror image of the other.

4z + 1 = 2z + 7

2z = 6

z = 3

As, EX = XF = GX

EX = 4(3) + 1

EX = 13

Therefore, GX = 13 ------ ( EX = XF = GX )

To find the angle ABX, divide the angle ABC by 2 you will get

$\angle ABX=22^0$

For more information, refer to the link given below

brainly.com/question/16548605

#SPJ1

4 0

1 year ago

Please solve <br><br> 16 > -8 + x

natka813 [3]

Answer:

Step-by-step explanation:

3x18>=3=3

5 0

3 years ago

Read 2 more answers