Find c, given that a + 18.2, B = 62, and C =48. Round answer to the nearest whole number. Do not use a decimal point or extra spaces in the answer or it will be marked incorrect

Answers

Answer 1

Answer:

[tex]c=14[/tex]

Step-by-step explanation:

a = 18.2

[tex]\angle B=62^{\circ}[/tex]

[tex]\angle C=48^{\circ}[/tex]

[tex]\angle A=180-(62+48)=70^{\circ}[/tex]

From sine rule we have

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

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

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

[tex]\Rightarrow c=\dfrac{\sin 48^{\circ}}{\sin 70^{\circ}}\times 18.2[/tex]

[tex]\Rightarrow c=14.4\approx 14[/tex]

[tex]\boldsymbol{\therefore c=14}[/tex].


Related Questions

In a largo container of balls, there are at least 5 red balls for
overy yollow ball. If there are 47 yellow balls in the container,
which of the following inequalities represents the number of red
balls, r?

Answers

Balls r? What? I don’t understand

Find the solutions to the quadratic. *
y = (x + 13)(x - 21)

Answers

Answer:

[tex]\huge\boxed{-13, 21}[/tex]

Step-by-step explanation:

The most common way to solve for the roots of a polynomial is to use the Quadratic formula, which will return us with two values of x that make the equation equal 0.

...however, this form of the equation is already in root form. If we multiplied these two terms, we'd get [tex]x^2 - 8x -273[/tex], and when we factor that, we'd get -13 and 21.

Roots are usually written in the form [tex](x-a)(x-b)[/tex], where the zeroes will be the value of x that makes each binomial equal 0 - aka, the opposite of a and b.

The opposite of 13 is -13, and the opposite of -21 is 21.

Therefore, the solutions of this equation are -13 and 21.

Hope this helped!

With explanation please, step by step if is necessary, I need heeelp!

Answers

Answer:

[tex]area \: of \: the \: circle \: = \: \pi {r}^{2} \\ so \\ \: 10 = \pi {r}^{2} \\ {r}^{2} = \frac{10}{\pi} \\ r = \sqrt{ \frac{10}{\pi} } \\ r = \frac{ \sqrt{10} }{ \sqrt{\pi} } \\ r = \frac{ \sqrt{10} \times \sqrt{\pi} }{ \sqrt{\pi} \times \sqrt{\pi} } \\ r = \frac{ \sqrt{10\pi} }{\pi} \\ since \: d \: = 2r \\ so \\ d = 2( \frac{ \sqrt{10\pi} }{\pi} ) \\ \\ d = \frac{2 \sqrt{10\pi} }{\pi} \\ since \: circumferenc \: = 2r\pi \\ so \: circumference = 2( \frac{ \sqrt{10\pi} }{\pi} )\pi \\ = 2( \sqrt{10\pi} ) \\ = 2 \sqrt{10\pi} [/tex]

What is the value of the expression -48 ÷ (-4)

Answers

Answer:

12

Step-by-step explanation:

Since 48/4=12

But this time all negative

negative*negative=positve

SO it is 12 still

Answer:

12

Step-by-step explanation:

negative divided by a negative makes a positive, -48/(-4) is 12

All of the following monomials are partial factors of the polynomial 12xº y2 – 18x2y + 6x?y? EXCEPT:

Answers

Answer:

80

Step-by-step explanation:

What is the answer to this?

Answers

Answer:

The answer is (1,-5)! Try using Desmos graphing calculator next time as well :)

Step-by-step explanation:

It costs $3.45 to buy ¾ lb of chopped walnuts. How much would it cost to purchase 7.5 lbs of walnuts? Explain or show your reasoning.

Answers

Answer:

It would cost $ 34.5

Step-by-step explanation:

Given,

The cost of 3/4 lb of chopped walnut = $ 3.45,

So, the cost of 1 lb of chopped walnut = 4/3*3.45

=4*1.15

= $ 4.6,

Thus, the cost of 7.5 lbs of walnuts = 7.5 × cost of 1 b of walnut

= 7.5 × 4.6

= $ 34.5

For a school fund-raiser, 10 students sold a total of 90 boxes of cookies. Which of the following can be calculated from this information?​

Answers

Answer: what of the following

Step-by-step explanation:

Answer:

is it multiple choice

Step-by-step explanation:

A quantity with an initial value of 8100 decays continuously at a rate of 0.95% per year. What is the value of the quantity after 96 months, to the nearest hundredth?

Answers

Answer:

20163.299

Step-by-step explanation:

Initial value = 8100

Rate r = 0.95% = 0.0095

t = 96 month

Therefore, Value of the quantity after 39 decades = Initial value*e^(rt)

= 8100*e^(0.0095*96)

= 8100*e^(0.912)

= 8100*2.48929615041

= 20163.298818321

= 20163.299

So, the value of the quantity after 96 months is 20163.299

Answer:

7507.21

Step-by-step explanation:

Carlo sold his house for P8,000,000. The real-estate agent got a 5% commission from the sales.
From his commission, he has to pay BIR tax and other obligations required for the transfer of ownership
of the property to the buyer. This expense represents 6% of his total commission. How much net
amount will he receive?​

Answers

Answer:

The net amount received is 7,120,000

Step-by-step explanation:

The computation of the net amount received is shown below:

= Sale value of the house - real agent commission - expenses

= 8,000,000 - 8,000,000 × 5% - 8,000,000 × 6%

= 8,000,000 - 400,000 - 480,000

= 8,000,000 - 880,000

= 7,120,000

Hence, the net amount received is 7,120,000

The same is relevant

1. a rectangular room measures 10 feet by 12 feet. What is the area of the room?

2. What is the area of a rectangle with a base of 6 inches and height of 10 inches?

3. Travis is planting a rectangular garden that is 5 feet by 12 feet. One bag of soul covers 6 square feet. How many bags of soil does he need to cover the whole garden?

PLEASE HELP! PLEASE HELP!

Answers

Answers:

Area = 120 square feetArea = 60 square inchesHe needs 10 bags

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

Explanation:

For problems 1 and 2, we just multiply the base and height. This is the same as multiplying the length and width.

So in problem 1 we have 10*12 = 120 square feet. In problem 2 we have 6*10 = 60 square inches.

-----------------------

Problem 3 follows the same idea, but we do a bit more work. The area of the garden is 5*12 = 60 square feet.

Let's say x is the number of bags needed.

1 bag covers 6 square feet

2 bags cover 12 square feet

and so on

x of those bags cover 6x square feet. The x is just a placeholder for a number. Specifically, a positive whole number.

The expression 6x represents how much area that can be covered by x bags. We want to cover 60 square feet.

The equation we need to solve is 6x = 60. Doing so leads to x = 10 after dividing both sides by 6.

So this means Travis needs 10 bags.

Write the slope intercept form of the graph plz

Answers

Answer:

y = 3x - 6

Step-by-step explanation:

slope intercept form is: y = mx + b

m is your slope, so figure it out by doing rise/run

you rise 3, over one which is 3/1, but simplifies to 3

b is your y-intercept, find it by seeing where the line crosses the y-axis, which is -6

therefore, your answer is: y = 3x - 6

Each day, you do homework for m minutes and watch tv for 30 minutes. Which expression can you use to find how many minutes you do both activities in 5 days? Explain your reasoning.

Answers

yu can do 30 mins divided by 5 because if yu watch tv for 30 mins each day yu will do an activity for 30 mins

please awnser photo will give brain if you are first

Answers

Answer:

THE SECOND ONE

a = 3.6 and b = 10, then ab = _______. *

Answers

Answer:

36

Step-by-step explanation:

3.6 * 10 = 36

Answer:

36

Step-by-step explanation:

if  a = 3.6 and b= 10 and if we want to find ab we will just multiply them

3.6 x 10 = 36

(If you multiply a decimal by 10, the decimal point will move one place to the right. If you divide a decimal by 10, the decimal point will move one place to the left. If you multiply or divide by any power of 10, it will move a number of spaces equal to the number of 0's.)

have a wonderful day

5(x + 3) represents the area of the rectangle above. Which expression below is
equivalent by the Distributive Property? (4 points)
1) 5x + 3
O2) (5 + x) + 3
3) 5x + 15
O4) (x + 3) - 5
ILL GIVE BRAINLIEST

Answers

Answer: 1,2,3 becuase they are all equivalent its just logic when you think abt it

Step-by-step explanation: 4 makes no sense

Answer: I dont know

Step-by-step explanation: Math make my brain hurt, and its not 4 btw.

ps: answer is C third option

write the expression 36 + 4 as a product using the greatest common factor and thr distributive property​

Answers

4 (9+1)

36 + 4.....GCF = 4

(4 * 9) + (4 * 1) =

4(9 + 1) <==

solve for x in the equation (x + 7) (x minus 9) = 25

Answers

Answer:

10.43398113

Step-by-step explanation:

decimal for

HELP PLS BRAINLIEST AND POINTS!!!!

Answers

Answer:

C

Step-by-step explanation:

Since a triangle's area is half as much as a rectangle or square, considering that they have the same width and length, you can basically eliminate choices a and b.

Choice d doesn't make sense because it's a square, now you are left with choice c.

Answer:

I think it might be d.


Convert 5 hours to minutes.

Answers

Answer:

300 min

Step-by-step explanation:

60 times 5 :)

How can you write the equation for a linear function if you know only two ordered pairs for the function? Drag tiles tho complete the explanation. Tiles may be used once, more than once, or not at all.

Answers

Answer:

Explanation below

Step-by-step explanation:

First determine the slope using (y2-y1)/(x2-x1)

Then set up point slope form and add in an ordered pair for x and y to determine the y intercept: y - y1 = m(x - x1). Solve for y and you'll end up with slope intercept form.

For example: (-2,1), (3,2) find slope and y intercept.

(2-1)/(3-(-2))= 1/5

y-2=.2(x-3)

y=.2x-.6+2

y=.2x+1.4 or y=(x/5)+(7/5)

I need to know the answer to this

Answers

Answer: 276

Step-by-step explanation:

multiply 1/3 by 4/4 to make it similar to 5/12 that way you can add them. because the denominator is different from each other you can’t add them. once you do that you get 4/12, you then add 5/12 and that equals 9/12. in order to get to 12/12 you need 3/12 more. this 3/12 represents the 69 guest that chose vegetarian. the 5/12 represents the the guest who chose chicken and the 4/12 represents the ones who chose beef. now that you know 69 people is the same as 3/12 of all the guest. you then realize that 9 is divisible by 3. so you multiply 69 by 3 because 3 goes into 9 3 times. which gives you 207. 207 represents 9/12. and we already know 69 represents 3/12. so you add them together and get 276. sorry if that was confusing but that’s the best way i can explain it.

20% of 260 students at hill middle school ride a bus to school. how many students ride a bus to school?

Answers

Answer:

52 students ride a bus to school

Step-by-step explanation:

Step 1: Our output value is 260.

Step 2: We represent the unknown value with x.

Step 3:  From step 1 above $260 = 100%.

Step 4: Similarly, x = 20%.

Step 5: This results in a pair of simple equations:

260 = 100%(1).

x = 20%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

[tex]\frac{260}{x}[/tex] = [tex]\frac{100}{20}[/tex]%

Step 7: Again, the reciprocal of both sides gives

[tex]\frac{x}{260}[/tex] = [tex]\frac{20}{100}[/tex]

⇒x=52$

Therefore, 20% of 260 is 52.

Hope this helps! :)

BRAINLIEST PLEASEEE

The number of students who ride a bus is 52.

What is a percentage?

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

Total number of students = 260

The number of students who ride a bus.

= 20% of 260

= 1/5 x 260

= 52

Thus,

The number of students who ride a bus is 52.

Learn more about percentages here:

https://brainly.com/question/11403063

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40.42 divided by 4.3 with steps

Answers

Answer:

9.4 is the answer.

Step-by-step explanation:

Solve 3(5x-4) < 15x

O. X < 4
O no solution
O x > -4
O all real numbers

Answers

Answer:

All real numbers

Step-by-step explanation:

3(5x - 4) < 15x

~Distribute left side

15x - 12 < 15x

~Subtract 15x to both sides

-12 < 0

Best of Luck!

The answer is D. All real numbers

I think its the second one but I'm not sure..

Answers

Yes it’s correct. You just need to plug each of the x and y values to see if they satisfy the equation.

At the nearest wholesale 3 bags of cereal cost 28.75 at this rate how much would 5 bags of cereal cost

Answers

Answer:

5 bags will cost $47.09

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

28.75/3=9.58
9.58*5=47.9
So the answer is 47.9

40 is what percent of 50?
%
5
%
4
90%
80%

Answers

Answer:

80%

Step-by-step explanation:

Answer:

80%

Step-by-step explanation:

50 times .8 aka 80 percent is 40

Find the missing values on the diagram below. Assume that each line is evenly divided. I'm pretty confused on the right side of the number line- anyone understand this??? ​

Answers

Answer:

A = 72 B = 50% C = 40%

Step-by-step explanation:

Each space on the bottom is worth 10%.

Each space on the bottom is worth 36.

The values of the equations are solved and a = 72 , b = 50 % and c = 40 %

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

On the number line , the values above represents the numbers and the values below represents the percentage pf numbers

So , a = 20 % of the total value of the number line

b = ( 50 - 0 ) % = 50 % of the number line

And , c = 40 % of the number line which is 144

So , 40 % of the total value = 144

Substituting the values in the equation , we get

( 40 /100 ) A = 144

Multiply by 100 on both sides , we get

40A = 14400

Divide by 40 on both sides of the equation , we get

A = 360

So , the total value of the number line is 360

where a = 20 % of the number line

On simplifying the equation , we get

a = ( 20/100 ) 360

a = 20 x 3.6

a = 72

Therefore , a = 72 , b = 50 % and c = 40 %

Hence , the equations are solved

To learn more about equations click :

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Help ill mark u brainliest pls

Answers

Answer:

a = 151

Step-by-step explanation:

Both angles make a supplementary angle meaning their angles will add up to 180°.

a + 29 = 180

a = 151

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