use the law of cosines to find the measure of BC?

Use The Law Of Cosines To Find The Measure Of BC?

Answers

Answer 1
x^2= 17^2+28^2-2(17)(28)cos91 
x=33.00
Answer 2

The length of side CB is 33 unit using Law of Cosines.

Thus, option (D) is correct.

Given:

AB = 28 unit

<A = 81

AC = 17 unit

According to Law of Cosines

the lengths of the sides of a triangle to the cosine of one of its angles.

The Law of Cosines states:

[tex]c^2 = a^2 + b^2 - 2ab * cos(C)[/tex]

Where:

c  = side opposite angle C

a and b = lengths of the other two sides

< C= opposite side c

Now, using Law of Cosines

CB² = AC² + AB² - 2 . AC. AB COS (91)

       = (17)² + (28)² - 2 (17)(28) COS (91)

       = 289 + 784 - 476 (-0.01745)

       = 1,081.3062

So, CB = √ (1,081.3062)

CB = 32.883

CB = 33 unit.

Thus, the value of CB is 33 unit.

Learn more about Law of cosine here:

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Related Questions

SOMEONE HELP ME OUT PLEASE WILL MARK BRAINLIEST

Answers

see attached picture:

the difference between an observational study and an experiment is that

in an observational study only one group is studied, and in an experiment two groups are studied

in an observational study, researchers do not control treatment, and in an experiment they do

in an experiment cause and effect is analyzed, and in an observational study, it is not

in an experiment one group is studied over a short period of time, and in an observational study, the group is studied over a longer period of time

Answers

Answer: In an observational study, researchers do not control treatment, and in an experiment they do .

Step-by-step explanation:

Observational study is the study where the researcher observes the subjects and measures variables, but does not influence the population where as in an experiment the experimenter has control on the independent variable to see the effect on the dependent variable.

So the correct difference between an observational study and an experiment is that "in an observational study, researchers do not control treatment, and in an experiment they do."

Answer:

B on EDG

Step-by-step explanation:

Veronique has a spinner with three sections of equal size, red (r), green (g), and blue (b).The spinner is spun twice. The sample space for the possible outcomes is S = {rr, rb, rg, gr, gg, gb, br, bg, bb}. If the number of times red is spun is the random variable, X, which graph represents the probability distribution?

Answers

Answer:

a, the first graph

Step-by-step explanation:


Final answer:

The probability distribution represents the likelihood of each possible value of a random variable. In this case, the random variable X represents the number of times red is spun. The graph that represents this probability distribution would have the values 0, 9/33, and 24/33 plotted for X=0, X=1, and X=2.

Explanation:

The probability distribution represents the likelihood of each possible value of a random variable. In this case, the random variable X represents the number of times red is spun. The sample space S consists of nine outcomes with one red spin and twenty-four outcomes with two red spins.

To find the probability distribution, we calculate the probability of each possible value of X. The probability of X=0 (no red spins) is 0, the probability of X=1 (one red spin) is 9/33, and the probability of X=2 (two red spins) is 24/33.

The graph that represents this probability distribution would have the values 0, 9/33, and 24/33 plotted on the y-axis for the corresponding values of X=0, X=1, and X=2 on the x-axis.

What is the length of segment AB? A coordinate plane is shown. Point A is located at 6, 2, and point B is located at 0, 10. The points are connected by a line segment. 5 units 6 units 8 units 10 units

Answers

The answer is 8 units
Distance formula
d = sqrt((x1-x2)^2 + (y1-y2)^2)
d = sqrt((6-0)^2 + (2-10)^2)
d = sqrt(6^2 + (-8)^2)
d = sqrt(36+64)
d = sqrt(100)
d = 10

The distance between point A and point B is 10 units
The line segment AB is 10 units long

0.25,4/5,2/9,0.48 how many cards are greater than 1/2

Answers

Change all to decimal:

1/2 = 0.5

0.25 = 0.25 
4/5 = 0.8 ✔
2/9 = 0.222
0.48 = 0.48
8/11 = 0.72 ✔

There are 2 numbers greater than 0.5 or 1/2.

Answer: 8/11 and 4/5

Hope this helped☺☺

if sec theta equals negative 5/3, such that 180° <thata<270° then determine what is tan theta ?

Answers

I hope this makes sense, if not please feel free to let me know and I'll explain it. 

the area of a circle is 452.39 ft^2 . Why would the diameter have to be?

Answers

I believe it would be 24ft.
STEP 1:
Find the radius.

Area=πr^2
plug in the known numbers

452.39= (3.14)r^2
divide both sides by 3.14

452.39 ÷ 3.14= r^2

144.07= r^2
take the square root of 144.07 and r^2

12 feet= r


STEP 2:
multiply radius by 2 to equal diameter

Diameter= Radius * 2
Diameter= 12 feet * 2
Diameter= 24 feet


ANSWER: The diameter would be 24 feet.

Hope this helps! :)

In Kendra’s class, 40 percent of the students earned an A on the math test. Twenty students earned an A. Kendra needs to find out how many students are in her class. Kendra’s work is shown below.

40 / 2 = 20
_________
100 x 2 = 200
what mistake did kendra make? (the / is meant as a division symbol)
A. Kendra should have multiplied by 4 in both the numerator and the denominator.
B. Kendra should have divided by 2 instead of multiplying by 2 in the denominator.
C. Kendra should have added 40 and 20.
D. Kendra should have the part to whole equation written as 100/40 (100 over 40)

Answers

Answer:

B. Kendra should have divided by 2 instead of multiplying by 2 in the denominator.

Step-by-step explanation:

In Kendra’s class, 40 percent of the students earned an A on the math test.

Let the total students in the class be = x

So, as per the situation given, we can say that

[tex]0.40\times x=20[/tex]

x = 50

Hence, there are 50 students in the class.

We can cross check this as:

[tex]0.4\times50=20[/tex]

So, Kendra surely did a mistake.

Kendra should have divided 100 by 2. But she multiplied by 2.

A jar contains blue, red, yellow, and green marbles.P(blue) = 1/4. What type of probability is illustrated and why?

Answers

The probability stated as P(blue) = 1/4 illustrates theoretical probability, which is determined by the number of favorable outcomes divided by the total number of outcomes without the need for any experiment or past data.

The type of probability illustrated by the statement "A jar contains blue, red, yellow, and green marbles with P(blue) = 1/4" is theoretical probability. This is because the probability value is based on the known possible outcomes and the assumption that each outcome has an equal chance of occurring. For example, if a bag contains four green marbles, three red marbles, and two yellow marbles, the theoretical probability of drawing a yellow marble followed by a green marble without replacement would be calculated using the number of ways these events can happen divided by the total number of outcomes.

Theoretical probability does not require experimental results or past data and is often used in problems involving equally likely events, such as drawing marbles from a jar or flipping a fair coin. In contrast, experimental probability is based on the frequency of an event happening from trials or experiments. In the given example with the jar of marbles, we assume that each marble color is equally likely to be drawn.

Help please !!


What is the length of VW?

A) 16 units

B) \sqrt{x} 13

C)20 units

D) \sqrt{x} 20





Answers

The answer is:  " 4.47 units " .
________________________________________________________
Explanation:
________________________________________________________
Note the Pythagorean theorem for right triangles:

→ a² + b² = c² ; 

Solve for the "positive value of "c" ; 

in which "c" is the "hypotenuse" ; which is the length of VW
_______________________________________
in which one side of a right triangle is from:
 _______________________________________
"Point W" {coordinate of "(-4, -2)" to "(-2, -2)" ; which is "2 units" long; 
_______________________________________
and another side of the right triangle is from:
_______________________________________
  "(-2, -2)" to "(2, 2)" ; which is:  "4 units long)

c² = 2² + 4² ; 

Solve for the "positive value" of "c" ;  which is the "hypotenuse" ; which is the length of VW .
_______________________________________________________

c² = 4 + 16 = 20 ; 

c² = 20 ; 

Take the "positive square root" of each side of the equation; to solve for "c" ; 

 ⁺√(c²) = ⁺√20; 

to get: 

→  c = √4√5 = " 2√5 units " 

or; using calculator:  " √20 = 4.4721359549995794 " ;  

→ round to:  "4.47 units" .
_______________________________________________________

Solve the following equation (6p+8)(5p-8)

Answers

The answer to the equation is 30p2-2-64

PLZZ HELP!!!!
What is the surface area of the right rectangular prism?

Enter your answer in the box.

Answers

its 72 because i did lenght*whith*hight and got 72

if if f(x)=x-6 and g(x)=x, what is if f(x) times g(x)?

Answers

[f(x)*g(x)] = [(x - 6)*(x)] = x^2 - 6x

the quotient of 7.3 divided by -7.3

Answers

Answer:

-1

Step-by-step explanation:

7.3

------ = -1

-7.3

40% of the flowers in the garden are roses the rest of the flowers are daiseis if 8 flowers are roses how many flowers are there altoghether draw a model to justify your anwser

Answers

Draw a rectangle, shade in 40%, that's roses, the other 60% are daisies.
2/5 of the garden is 8 roses, 1/5 of the garden is 4 flowers, 3/5 is 12 flowers, so if 2/5 is 8 roses, 3/5 is 12 daisies.
8+12=20
There are 20 flowers in total.

Chelsea uses 3 pounds of apples to make 4 cups. How many pounds of apple does she need to make 6 pints of applesauce

Answers

You need 9 pounds of apples to make 6 pints of applesauce. Hope this helped!

Here, we know that 1 pint = 2 cups

Thus, 1 cup = [tex] \frac{1 pints}{2} [/tex]

3 ponds apples are needed for 4 cups i.e. 3 ponds of apples = 4 cups of applesauce

1 cup of applesauce = [tex] \frac{3 ponds}{4} [/tex]

Now, 6 pints will have 12 cups of applesauce

Multiplying this equation by 12 ⇒ 1 cup of applesauce = [tex] \frac{3 ponds}{4} [/tex]

12 ×1 cup of applesauce = 12 × [tex] \frac{3 ponds}{4} [/tex]

So, 12 cups of applesauce = 9 ponds of apple.

Thus, 9 ponds of apple will be needed to make 6 pints of applesauce.

which equations are equal to 1/4 (8x+56) =20

Answers

2x+14=20

if u solve for x; 20-14=6 , 2x=6; x=3

Following are the calculation to the given equation:

Given:

[tex]\to \frac{1}{4}(8x+56)=20[/tex]

To find:

x=?

Solution:

[tex]\to \frac{1}{4}(8x+56)=20\\\\\to \frac{8x}{4} + \frac{56}{4}=20\\\\\to 2x + 14=20\\\\\to 2x = 20-14\\\\\to 2x= 6\\\\\to x=\frac{6}{2}\\\\\to x= 3[/tex]

Therefore, the final answer is "3".

Learn more:

brainly.com/question/23248705

Avenue A is perpendicular to North Street. What is the relationship between Avenue A and South Street?

Answers

Final answer:

Avenue A is perpendicular to North Street, and it would also be perpendicular to South Street since they run parallel. The concept of vector components Ax and Ay, being perpendicular and analogous to these streets, helps illustrate the perpendicular relationship between Avenue A and South Street.

Explanation:

Given that Avenue A is perpendicular to North Street, we can infer that Avenue A is also perpendicular to South Street because in a typical city grid, north and south streets run parallel to each other. When two lines are perpendicular to a third line, they are parallel to each other and form a 90° angle with the perpendicular line.

The relationships among vectors can help further illustrate this idea. If we look at the components of a vector, Ax and Ay, where Ax is the movement in the east-west direction (like Avenue A) and Ay is the movement in the north-south direction (like North Street), they form a right angle with each other. If you walk along Avenue A (the Ax component), then along North Street (the Ay component), you construct a path that is the resultant vector A with its own magnitude and direction.

The sum of these vectors is represented as Ax + Ay = A. This combination holds only for vector quantities, which include both magnitude and direction. This principle does not apply when we're summing up the magnitudes alone, as in the example where if Ax is 3 m east and Ay is 4 m north, the direct path A would not simply be their sum in magnitudes but would instead be a diagonal 5 m northeast according to the Pythagorean theorem.

Which choice shows a correct way to solve 8•13?

Answers

Answer:

Step-by-step explanation:

8 x(10+3)

the perimeter of triangle rxa is 24. if rx= 4 and ra= 11, find xp and pa

Answers

Answer:
PA = 6.6 units
XP = 2.4 units

Explanation:
1- We are given that:
perimeter of RXA = 24 units
RX = 4
RA = 11
This means that:
XA = 24 - 4 - 11 = 9 units

2- For XA:
XA = XP + PA
XA = 9 units
This means that :
XP + PA = 9 units
XP = 9 - PA 

3- Triangle angle bisector theorem:
"In a triangle, the angle bisector divides the opposite side into two segments that are proportional to the other two sides"

Applying this to the given triangle, we can set the ratio as follows:
[tex] \frac{XP}{PA} = \frac{XR}{AR} [/tex]

We have:
XP = 9 - PA 
RX = 4
RA = 11

4- Substitute with the givens in the above ratio and solve for PA as follows:
[tex] \frac{9-PA}{PA} = \frac{4}{11} [/tex]

11(9-PA) = 4(PA)
99 - 11PA = 4PA
99 = 15PA
PA = 99/15
PA = 6.6 units

5- Substitute to get XP as follows:
XP = 9 - PA
XP = 9 - 6.6
XP = 2.4 units

Hope this helps :)

What do you do if there are no matching coefficients

Answers

you leave them like that

When dealing with null coefficient terms in mathematics or chemistry, they can be a tool to simplify calculations. Replacing zero coefficients with a positive approximation or selecting rows with zeroes in matrices can ease the process. Always verify solutions by substituting them back into the original equations to ensure correctness.

When you encounter situations where there are no matching coefficients in your algebraic equations, it is important to look for null coefficient terms. Such terms can help simplify the computations. For instance, if you are working on balancing chemical equations or solving systems of equations, and one of the coefficients is zero, this can be advantageous because multiplying by zero is a straight-forward operation.

If a coefficient equals zero, like one in a characteristic equation, replace it with a positive quantity approaching zero from the right-hand side. Continue with the analysis after this adjustment. Additionally, when working with matrices, selecting a row with zeros as the coefficient row can simplify the process of expansion by minors since some minors will not need to be computed and can just be multiplied by the zero coefficient.

In the case of balancing equations in chemistry or optimizing coefficients in a mathematical model, practice and a methodical approach are necessary. Make sure to double-check your computations and if you are unsure about the correctness of your solution, substitute it back into the original equation.

The Delucci family traveled on the highway for two hours at 70 miles per hour, and then three hours at 35 miles per hour. How far did they travel in the five hours? How do you know? Explain (write a prportion)

Answers

(2 * 70) + (3 * 35) = 140 + 105 = 245 miles

a baseball team has 12 players and the coach wants to pick which five players will start today's game how many combinations are there to the coach to choose from

Answers

95,040 ÷ 120 =792
720 is your answer.

Pls answer the question fasttt

Answers

5 : 25  →  (÷5)  → 1 : 5

Answer : 1 : 5
Divide both terms by 5:
5 ÷ 5 = 1
25 ÷ 5 = 5

Reducing to simplest form:
5 : 25 = 1 : 5 I'm sorry if I'm wrong but I hope that I'm right


Solve for x.



7
12
21
4

Answers

x² + 14² = (2√85)²
x² + 196 = 340
x² = 144

x = 12

The second option is your answer. 
Pythagorean Theorem
a^2 + b^2 = c^2
or
a^2 = c^2 - b^2

in this case:

x^2 = (2√85)^2 - 14^2
x^2 = 340 - 196
x^2 = 144
x = 12

Bella is making button barrettes. She allows each of her friends to reach into her bag of buttons and randomly select a color. Then she replaces it with the same color button and shakes the bag before letting another friend pick a color. Bella’s bag of buttons contains the colors below. Which model shows the probability of randomly selecting each color button from her bag?

Answers

Answer: Pink 12 %, Orange 40%, Green 28%, Blue 20%

Step-by-step explanation:

Given, Total number of,

Pink button = 300

Green button = 700

Orange button = 1000

Blue button = 500

Thus, total button = 300 + 700 + 1000 + 500 = 2500

Now,  the probability of getting pink button =  [tex]\frac{300_C_1}{2500_C_1} = \frac{300}{2500} = 0.12=12\%[/tex]

The probability of getting green button =  [tex]\frac{700_C_1}{2500_C_1} = \frac{700}{2500} = 0.28=28\%[/tex]

The probability of getting orange button =  [tex]\frac{300_C_1}{2500_C_1} = \frac{1000}{2500} = 0.40=40\%[/tex]

The probability of getting blue button =  [tex]\frac{300_C_1}{2500_C_1} = \frac{500}{2500} = 0.20=20\%[/tex]

Third Option is correct.



Answer:

the third one

Step-by-step explanation:

i got 100

Find the perimeter of a rectangle ABCD that goes through points A(1,3), B(1,1), C(4,1), and D(4,3)

Answers

This creates a 2x3 rectangle, which makes a 10 unit perimeter.

Different sizes of ribbon need to be cut to go around various shapes. All of the following sizes are in inches.

π , √5 ,√8 ,2√5

a.) Without using your calculator, approximate the decimal equivalent of each number to the nearest tenth.

b.) Order the ribbon sizes from least to greatest.

PLEASE SHOW YOUR WORK

Answers

The decimal approximations are:

The square root of 5 is about 2.2
The square root of 8 is about 2.8
pi is about 3.14
2 square roots of 5 are about 4.4

The numbers are also placed in order from least to greatest.

50% of babies are born female. olive wants to find probability that 20 or more of the 50 babies born today were female.we need to design a simulations .which random device device can we use to best represent this situation

Answers

Since the probability that 50% of the babies born are female, she could use any probability model that is 50/50.

For example, she could flip a coin. Or she could roll a die, using the even numbers for girls and odd numbers for boys.

Answer:

Use a double-sided coin and assign heads as females and tails as males.

Step-by-step explanation:

I did the I-Ready lesson.

What is the simplified form of square root 64x^16?

8x^4
8x^8
32x^4
32x^8

Answers

Answer:[tex]8x^{8}[/tex]

Step-by-step explanation:

When multiplying two numbers with exponents you adding the exponents

[tex](x^{m} )(x^{n} )=x^{m+n}[/tex]

[tex]\sqrt{64x^{16} }[/tex] = [tex]\sqrt{64x^{8+8} }[/tex] = [tex]\sqrt{8(8)(x^{8}) (x^{8} )}[/tex] =8[tex]x^{8}[/tex]

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