Photo attached with instructions

Photo Attached With Instructions

Answers

Answer 1

Step-by-step explanation:

using cosine rule,

BC²= AC² + BC² - 2*AC*BC*COSc

= 13² + 6² - 2*13*6*-cos(180-91)

= 169 + 36 - (-2.72)

= 202.28

√BC² = √202.28

BC = 14.22

BC = 14.20cm to nearest tenth


Related Questions

Which table does NOT represent a linear function?

Answers

Hey there!
Linear functions have a continuous change.

Let's check these tables and see if we can tell linear functions from non-linear functions.

The first one is

x values: -1, 0, 1, 2

- we add 1 each time

y values: 8, 5, 2, -1

- we subtract 3 each time

[tex]\rule{200}{2}[/tex]

Let's try the next one:

x values: -1, 0, 1, 2

- we add 1 each time

y values: 5, 10, 15, 20

- we add 5 each time

[tex]\rule{200}{2}[/tex]

Let's try the third one:

x values: -1, 0, 1, 2- we add 1 each timey values: 15, 18, 20, 21

        - we add 3, then 2, then 1..

So this table doesn't represent a linear function.

Let's check the fourth one:

x values: -1, 0, 1, 2

- we add 1 each time

y values: 1, 2, 3, 4

- we add 1 each time

Thus, Option C is the right option.

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Which number sentence matches the question below?

Mindy has a total of 239 books.

If Mindy gives 92 books to her local library, how many books will she have left?

A.
- 239 = 92

B.
239 + 92 =

C.
239 - 92 =

Answers

Answer:

Your answer is C.

239-92

Step-by-step explanation:

If shes giving AWAY then it would be a subtraction problem.

C because you’re taking away from the total amount that you had

PLEASE HELP!! URGENT!

Answers

Step-by-step explanation:

258

because there are 360 degrees in a circle. 360 - 102 = 258

solve pls brainliest

Answers

Answer:

[tex]\frac{1}{3} - \frac{1}{9} = \frac{3}{9} - \frac{1}{9} = \frac{2}{9}[/tex]

The first one: 3

The second one: [tex]\frac{2}{9}[/tex]

Step-by-step explanation:

To find the common numerator, you can multiply by 3 on both the numerator and denominator.

There are 6 orange marbles, 2 red marbles, 3 white marbles, and 4 green marbles in a bag. Once a marble is drawn, it IS replaced. Find the probability of selecting 2 orange marbles in a row P(orange, orange). Write your answer as a simplified fraction

Answers

The probability of selecting two orange marbles with replacement is 36/169.

Data;

Orange= 6Red = 2Green = 4

Probability with replacement

Since after each draw, the orange marble is replaced.

The total number of marbles in the bag is

6+3+4 = 13

And the number of orange marbles is 6.

For the first selection, the probability of selecting one orange is

[tex]P = \frac{6}{13}[/tex]

After drawn and replaced, the probability of selecting another marble is

[tex]P = \frac{6}{13}[/tex]

And the probability of selecting two orange marbles with replacement is

[tex]P = \frac{6}{13} * \frac{6}{13} = \frac{36}{169}[/tex]

The probability of selecting two orange marbles with replacement is 36/169.

Learn more on probability here;

https://brainly.com/question/24756209

Estimate the difference.

Answers

Answer:

498. 498/6 = 83.

Step-by-step explanation:

The radius of Circle A is 6 cm. The radius of Circle B is 2 cm greater than the radius of Circle A. The radius of Circle C is 3 cm greater than the radius of Circle B. The radius of Circle D is 2 cm less than the radius of Circle C. What is the area of each circle?

Answers

Answer:

circle a: 3.14x36= 113.04

circle b: 3.14 x 64 = 200.96

circle c: 3.14 x 121= 379.94

circle d : 3.14 x 81 = 254.34

Step-by-step explanation: circle a is 6cm, circle b is 8 cm, circle c is 11 cm and circle d is 9cm.

and (Area = π r²) example: circle a 6²=36 and π=3.14 so 3.14x36=113.04

Which of the following situations results in 2/3 ? Select three that apply

Answers

Answer:

The first, second, and fourth questions.

Step-by-step explanation:

None of these result in an answer of 23, so I'm assuming that you meant 2/3.

"Two gallons of water are needed to fill 3 fish tanks of equal size. How many gallons of water are required for each tank?"

2 gallons divided between 3 tanks is 2 divided by 3, so 2/3.

"Three cats share 2 cans of tuna. How much of a can does each cat receive?"

2 cans divided between 3 cats - it's the same as the above problem, just with cats and tuna cans instead of tanks and gallons of water. Each cat gets 2/3 of a can.

"Two bags of bird seed are split among 5 parrots. What fraction of a bag does each parrot receive?"

2 bags divided between 5 parrots would be 2/5 of a bag for each parrot.

"Two apples are split among 3 people. How much of an apple does each person receive?"

Two apples split among 3 people - like the first 2 questions, this also equals 2/3.

"Three dogs each drink 2 cups of water. How many cups of water do the dogs drink in all?"

Three dogs EACH drink 2 cups of water means that the answer is 2*3=6 cups.

"Three cupcakes are divided among 2 children. How much of a cupcake does each child receive?"

Three cupcakes are split between 2 children - they will each get 3/2 of a cupcake, or 1 1/2.

Find the measure of the missing angle

Answers

The two angles form a straight line and need to equal 180 degrees


180 - 61 = 119

The missing angle is 119 degrees

The graph below represents the result of a survey in which a number of students
reported how many letters were in their last names.


How many students have a name that's longer than 8
letters?

Answers

Answer:

2

Step-by-step explanation:

One we student has 9 letters and another has 10 letters

Only 2 because one person has a 9 letter name and one has a 10 letter name

helppppppppp meee too simplify this


Answers

Answer:

30,976

Step-by-step explanation:

=}.

[tex](11 {}^{3} \times 4 { }^{2} \binom{}{11 {}^{2} } ) {}^{2} [/tex]

=}.

[tex](11 \times 4 {}^{2} ) {}^{2} [/tex]

=}.

[tex]121 \times (4 {}^{2} ) {}^{2} [/tex]

=}.

[tex]121 \times 256[/tex]

=}. 30,976

Answer:

Answer given above

Step-by-step explanation:

11^2 * 4^4

Write the expression t = 8 + 2h to represent the
temperature change for that day. Circle all of the expressions below that are equivalent to T
t=8+2h

a. t = h + 8 + 2h

c. t = 4h + 6 - 2h + 2

b. t= 8 + h + h

d. t = 8 - 2h

Answers

B is equivalent to t = 8 + 2h

Which quadratic function in vertex form can be represented by the graph that has a vertex at negative 4. . 5. and passes through the point negative 7. . 11. ?

Answers

Answer:

the annswer is 4155 because its in formal information

Step-by-step explanation:

the annswer is 4155 because its in formal information

Q. A circular pie has an area of 706.5 cm? What is the radius of the pie?
answer choices

A. 225 cm
B. 30 cm
C. 15 cm
D. 112.5 cm

Answers

Answer:

C. 15 cm

Step-by-step explanation:

The formula to find the area of a circle is: π × r²

But since we need to solve for the radius, we use the formula:

[tex]r = \sqrt{ \dfrac{ A }{ \pi } \phantom{\tiny{!}}}[/tex]

r = radius

A = area

π = 3.14

Now we substitute the information given in the text into the equation

[tex]r = \sqrt{ \dfrac{ A }{ \pi } \phantom{\tiny{!}}}[/tex]

Substitute values into the equation

[tex]r = \sqrt{ \dfrac{ 706.5 }{ 3.14 } \phantom{\tiny{!}}}[/tex]

Divide 706.5 by 3.14

[tex]r = \sqrt{ 225 }[/tex]

Take the square root of 225

[tex]r = {15 }[/tex]

So, the radius of the pie is 15 cm

Julia was creating similar triangles in the coordinate plane. The first triangle had a rise of 3 and a run of 10. The second triangle had a rise of 7. 5. Analyze Julia’s work to see if she found the correct length of the run for the second triangle to be similar to the first triangle. 1. 3 10 = 7. 5 x 2. 75 = 3x 3. X = 25 Is Julia correct? If not, what was her mistake? Yes, she is correct. No, her proportion does not have the corresponding measures from corresponding figures in the same positions in the ratios. No, she needed to have the product of the numerators equal to the product of the denominators. No, she needed to multiply 7. 5 to both sides.

Answers

Yes julia is correct the run of the scond similar triangle will be b2=25.

What are simlilar traingles?

The similar triangle are those whose three sides or one angle or two sides or two angles one side are equal.

In the given:

Height of first triangle h=3

Base of first traingle =10

Height of second triangle =7.5

The base of second triangle b2 = ?

From the triangle similarity

[tex]\dfrac{h_1}{b_1}=\dfrac{h_2}{b_2}[/tex]

[tex]\dfrac{3}{10}=\dfrac{7.5}{b_2}[/tex]

[tex]b_2=\dfrac{7.5\times 10}{3}[/tex]

[tex]b_2=25[/tex]

Thus julia is correct the run of the scond similar triangle will be b2=25.

To know more about similar triangle follow

https://brainly.com/question/2644832

Select all the statements that describe the distribution of the data

Answers

D because the statement says

75% of 1250
find the value​

Answers

Answer:

937.5

Step-by-step explanation:

Given:

75% of 1250

Note:

Of = Multiply

Solve:

75% × 1250

= 937.5

~Lenvy~

Answer:

937.5

Step-by-step explanation:

We Know That 75% Is Same As 75

100

So, You Start By Dividing That, Or Making The Calculation Together, You Say

[tex] \frac{75}{100} \times \frac{1250}1[/tex]

[tex]0.75 \times 1250[/tex]

[tex] = 937.5[/tex]

HELP ME PLEASE
Solve for x: -6 – 5x = 29

Answers

Answer:

x = -7

Step-by-step explanation:

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (&Roots)

Multiplications

Divisions

Additions

Subtractions

~

First, add 6 to both sides of the equation:

-5x - 6 = 29

-5x - 6  (+6) = 29 (+6)

-5x = 29 + 6

-5x = 35

Next, divide -5 from both sides of the equation:
(-5x)/-5 = (35)/-5

x = 35/-5

x = -7

-7 is your answer for x.

~

how to find the hcf and the lcm of numbers using prime factorization.

lcm
30 and 12.

hcm
12 and 20​

Answers

Answer:

Below in bold.

Step-by-step explanation:

30 = 2 * 3 * 5

12 = 2 * 2 * 3

Note that 2 and 3 are common to both factors

so the HCF = 2*3 = 6.

Only one 2 and one 3 of the duplicates are included in the LCM:

so the LCM = 2 * 3 * 2 * 5 =  60

20 = 2 * 2 * 5

12 = 2 * 2 * 3

HCF = 2 *2 = 4

LCM = 2*2*3*5 = 60.

Tickets at a particular movie theater have different rates for adults and children. On Tuesday the theater sold 4 adult tickets and 9 child tickets for $88. The next day, the theater sold 7 adult tickets and 5 children tickets for $111. What is the price for the adult ticket and the price for the child ticket?​

Answers

Answer:

Adult Ticket = $13.00, Children Ticket = $4.00

Step-by-step explanation:
13*4=52, 4*9=36, 52+36=88

13*7=91, 4*5=20, 91+20=111

Find the surface area of the prism. Write your answer as a decimal.

Answers

Answer:

  49.2 square yards

Step-by-step explanation:

The surface area of a rectangular prism can be found using the formula.

  A = 2(LW +H(L +W)) . . . . where L, W, H are length, width, height

  A = 2(3×5 +1.2(3 +5)) = 2(15 +9.6) = 49.2 . . . . square yards

The half-life of a radioactive substance is the time it takes for a quantity of the substance to decay to half of the initial amount. The half-life of the radioactive gas radon is approximately 2.8 days. The initial amount of radon used in an experiment is 74 grams. If N represents the number of grams of radon remaining t days after the start of the experiment,
a. Write an equation that gives Nin terms of t.
b. how much gas radon approximately remains after 2.8 days?
c. approximately when will the amount of radon remaining be 10 grams?

Answers

Step-by-step walkthrough:

a.

Well a standard half-life equation looks like this.

[tex]N = N_0 * (\frac{1}{2})^{t/p[/tex]

[tex]N_0[/tex] is the starting amount of parent element.

[tex]N[/tex] is the end amount of parent element

[tex]t[/tex] is the time elapsed

[tex]p[/tex] is a half-life decay period

We know that the starting amount is 74g, and the period for a half-life is 2.8 days.

Therefore you can create a function based off of the original equation, just sub in the values you already know.

[tex]N(t) = 74g * (\frac{1}{2})^{t/2.8days[/tex]

b.

This is easy now that we have already made the function. Here we just reuse it, but plug in 2.8 days.

[tex]N(t) = 74g * (\frac{1}{2})^{t/2.8days} = N(2.8days) = 74g * (\frac{1}{2})^{2.8days/2.8days}\\= 74g * \frac{1}{2} = 37g[/tex]

c.

Now we just gotta do some algebra. Use the original function but this time, replace [tex]N(t)[/tex] with 10g and solve algebraically.

[tex]10g = 74g * (\frac{1}{2})^{t/2.8days}\\\\\frac{10g}{74g} = (\frac{1}{2})^{t/2.8days}[/tex]

Take the log of both sides.

[tex]log(\frac{5}{37}) = log((\frac{1}{2})^{t/2.8days})[/tex]

Use the exponent rule for log laws that, [tex]log(b^x) = x*log(b)[/tex]

[tex]log(\frac{5}{37}) = \frac{t}{2.8days} * log(\frac{1}{2})[/tex]

[tex]\frac{log(\frac{5}{37})}{log(\frac{1}{2})} = \frac{t}{2.8days}[/tex]

[tex]2.8 * \frac{log(\frac{5}{37})}{log(\frac{1}{2})} = t[/tex]

slap that in your calculator and you get

[tex]t = 8.1 days[/tex]

If 2 fair dice are tossed what is the probability that the sum of the number of dots on the top faces will be 7

Answers

Answer:

Step-by-step explanation:

it could be 6 and 1, 5 and 2, 4 and 3, 3 and 4, 2 and 5 or 1 and 6.

It is 2 fair dice, so all together, the probability is 36.

6/36 can be simplified to ⅙

marks obtained by the students are 12,16,14,13,19 and x . If their average marks is 15. find the value of x.
step by step
process by process
needed answer
making them as a brainlists ​

Answers

Answer:

x = 16

Step-by-step explanation:

Given:

Number of students = 6Average mark = 15

Therefore, total marks = 15 × 6 = 90

To find the value of x, add up the individual marks:

12 + 16 + 14 + 13 + 19 + x = 74 + x

Now equate this to the total number of marks found previously:

74 + x = 90

Solve for x:

⇒ 74 + x - 74 = 90 - 74

⇒ x = 16

Therefore, the value of x is 16.

Ashton is solving the equation
3x + 7 = 16.
Which shows a step Ashton can
use to solve the equation?
a. 3x + 7 = 16 - 7
b. 3x + 7 - 7 = 16 - 7
c. 3x + 7 = 16 + 7
d. 3x + 7 + 7 = 16 + 7

PLEASE HELP

Answers

Answer:

B: 3x + 7 - 7 = 16 - 7

Step-by-step explanation:

B: 3x + 7 - 7 = 16 - 7

Answer:

[tex]\boxed{\sf{B. \quad3x + 7 - 7 = 16 - 7}}[/tex]

[tex]\boxed{\sf{x=3}}[/tex]

Step-by-step explanation:

Isolate the term of x from one side of the equation.

3x+7=16

First, subtract by 7 from both sides.

⇒ 3x+7-7=16-7

Solve.

⇒ 16-7=9

Rewrite the problem down.

⇒ 3x=9

Divide by 3 from both sides.

⇒ 3x/3=9/3

Solve.

Divide the numbers from left to right.

⇒ 9/3=3

⇒ x=3

Therefore, the solution is x=3, which is our answer.

So, the correct answer is B. 3x+7-7=16-7 (second option).

I hope this helps you! Let me know if my answer is wrong or not.

if £2000 is placed into a bank account that pays 3% compound interest per year how much will be in the account after two years

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\pounds 2000\\ r=rate\to 3\%\to \frac{3}{100}\dotfill &0.03\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{per year, thus once} \end{array}\dotfill &1\\ t=years\dotfill &2 \end{cases} \\\\\\ A=2000\left(1+\frac{0.03}{1}\right)^{1\cdot 2}\implies A=2000(1.03)^2\implies A=2121.8[/tex]

Answer:

2,121.8

Step-by-step explanation:

2000(1.03)^2

please rate and mark as brainlest.

I need help please!!!!!!

Answers

Answer:

432 feet^2

Step-by-step explanation:

If we fill in the edges, it'll be 24x8, since 16+2 is 18, and 20+2(2) is 24. 24x18 is 432. Brainliest please.

A chocolatier is creating chocolate truffles in the shape spheres. The truffles will be solid chocolate and have a radius of 2.5 cm. How much should each truffle weigh if chocolate weighs 0.71 grams per cubic centimeter? (round to the nearest tenth, if necessary)
The truffles will have a volume of [Answer] cubic centimeters and will weigh a total of [Answer] grams.

Answers

Answer: Volume: 65.4 Weight: 46.4

Step-by-step explanation:

Density describes mass per unit volume. The weight of each of the considered chocolate truffle is 46.47 grams approx.

What is density?

Density is like rate. It tells you how much of a thing is available for each unit other thing which contains the first thing.

Density = (Total amount available)/(total space which contains that amount)

We're given that:

The chocolate weighs 0.71 grams per cubic centimeter. This is density of the considered chocolate, as it is telling that 0.71 grams of chocolate is available per cubic cm.The chocolate truffles are in shape of sphere with radius 2.5 cm

Volume of each chocolate truffle = volume of sphere with radius 2.5 cm

=  [tex]\dfrac{4}{3} \pi (2.5)^3 \approx 65.45 \: \rm cm^3[/tex]

One cubic cm has 0.71 grams weight,

so one truffle, which has 65.45 cubic cm of chocolate, will weigh approx[tex]0.71 \times 65.45 \approx 46.47 \: \rm g[/tex]

Thus, the weight of each of the considered chocolate truffle is 46.47 grams approx.

Learn more about density here:

https://brainly.com/question/12630910

Find the value of x for which ABCD must be a parallelogram.

Answers

For a parallelogram, the parallel sides must be the same length. This means you can set their lengths equal to each other. Get like terms on the same side to calculate x.

3x-5=2x+3
3x-5+5=2x+3+5
3x=2x+8
3x-2x=2x-2x+8
x=8

x=8

os
10. What is the slope of the line that passes through the pair of points? (1 point)
(-2, 1), (2, 17)
4
O 17
0-15
04
04

Answers

Answer:

[tex]\boxed{\sf{4}}}[/tex]

Step-by-step explanation:

Use a slope form.

Slope:

[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]

y₂ = (17)

y₁ = (1)

x₂ = (2)

x₁ = (-2)

Then, rewrite the problem.

Solve.

[tex]\sf{\dfrac{17-1}{2-(-2)}=\dfrac{16}{4}=\dfrac{16\div4}{4\div4}=\dfrac{4}{1}=\boxed{\sf{4} }[/tex]

Therefore, the slope is 4, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

Other Questions
Explain why it was important and strategic for the Civil Rights Movement to expose the violence and dangers of racism to the world through their protests A car is traveling at a rate of 120 kilometers per hour. What is the cars rate in miles per hour? How many miles will the car travel in 2 hours? In your computations assume that 1 mile is equal to 1.6 kilometers What is the thermodynamics equation?please help. 15 points. will give brainliest. help ty! I just need help with the third one The area of the triangle below is 3/40 square meters. What is the length of the base? Express your answer as a fraction in simplest form. Which of the following procedures best applies to assessing the embodied energy of a building?analyzing the buildings functionanalyzing the buildings blueprintsanalyzing the buildings materialsanalyzing the buildings age In a triprotic acid, which ka has the highest value?. What is 3(b+8) in Distributive Property y= -2x - 3 y= 7x + 6 solve by elimination Rotation: 90% ccw about the origin 8. Charlotte is given the equation 3x - 4y = 12. She needs to create a graph of the equation, butisn't sure how since she is only familiar withgraphing from slope-intercept form. Devise a planto help Charlotte graph the equation in the spacebelow, and then draw your graphed line. Amir is expecting to receive at least $50 from his grandparents for his birthday. He plans on using all of the money to buy new clothes for summer. He would like a new pair of sandals that cost $26.50 and new shirts that cost $8 a piece. Write an inequality to represent the number of new shirts he can buy in terms of the sandals and the amount of money he will receive. Read the excerpt from Martin Luther King Jr.'s "I Have a Dream" speech.This note was a promise that all men--yes, black men as well as white men--would be guaranteed the unalienable rights of life, liberty, and the pursuit of happiness.What effect does Dr. King's allusion to the Declaration of Independence have on the speech?The allusion shows the listener that Dr. King understands the Declaration of Independence.The allusion reminds the listener that enslaving another person is illegal.The allusion explains why Dr. King is making this speech.The allusion reminds the listener of the rights and beliefs that are the foundation of America. Consider the equation 21 = m + 14.1. Which step will help to solve this equation? = a) Add 14 14 on both sides of the equation. . b) Subtract 14 to on both sides of the equation. Multiply both sides of the equation by 14 141 . o Divide both sides of the equation by 14 Twenty wooden spheres, each with a radius of 2 inches, are packed snugly into a square box that is 18 inches on each side. The remaining space is filled with packing beads. What is the volume occupied by the spheres?Vsphere=[tex]\frac{4}{3}\pi r^3[/tex] mr bernstein owns 14 paintings, but has only enough wall space in his home to display three of them at any one time. How many ways can Mr Bernstein display three paintings in his home Describe how FH is inheritedIt is a dominate disorder so that means Water of mass, m at 100 is added to 0.50 kg of water at 20 in a lagged calorimeter of thermal capacity 105 JK 1 . If the specific heat capacity of water is 4200 kg 1K 1 and the final temperature of the mixture is 70, determine the value of m. What is the value of k? 14. How much interest will you earn if depositing $25,000 to grow continuously at 9%interest rate for 12 years?