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

Carlos planted 4 flowers in 9 minutes. At this rate, how many flowers can Carlos plant in 36 minutes?

Answers

the correct answer is 16

4(36/9). You need to find how many 9s go in to 36, and once you have that number you can multiply it by 4

What is the value of x?

What is the measure of

Answers

Answer:

x is 10

Step-by-step explanation:

Form the diagram, you can see that UV is parallel to TS, this means that <UVS  = < UTS

Given

<UVS = 5x + 38

<UTS = 12x - 28

Since the sum of opposite angle of a quadrilateral is 180 degrees, hence;

5x + 38 + 12x - 28 = 180

Collect like terms

5x + 12x - 28 + 38 = 180

17x + 10 = 180

17x = 180-1-

17x = 170

x = 170/17

x = 10

hence the value of x is 10

please help i need to raise my grade

Answers

Answer:

use brainly

Step-by-step explanation:

Which value from the set {0,1,17,72} makes the equation n + 8 = 9 true?

Answers

answer: 1

step-by-step explanation:  n + 8 = 9

therefore 9-8 = 1

The solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

What is a function?

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a linear function in terms of n:

n + 8 = 9

Subtract 8 both side:

n + 8 – 8 = 9 – 8

n = 1

From the set, we can see the element 1 is the solution to the given equation.

Thus, the solution to the equation n+ 8 = 9 is 1 from the set {0,1,17,72} n = 1 satisfy the provided equation.

Learn more about the function here:

brainly.com/question/5245372

#SPJ2

5.
In the given right triangle, find the missing length to the nearest tenth.

A. 25 ft
B. 24.1 ft
C. 8.5 ft
D. 7.9 ft

Answers

Answer:

The answer is A. 25 ft

Step-by-step explanation:

Given a=24 and b=7,

c = 25

∠α = 73.74° = 73°44'23" = 1.287 rad

∠β = 16.26° = 16°15'37" = 0.28379 rad

h = 6.72

area = 84

perimeter = 56

inradius = 3

circumradius = 12.5

Help? I’ll mark u brainliest

Answers

Answer:

11 because adjacent is basically next to and NKL is 12

Step-by-step explanation:

HELP ASAPPPP!!!!!
Find the value of x in the figure.


Two intersecting lines with vertical angles x degrees and 40 degrees.

Answers

Answer:

x=40°

Step-by-step explanation:

Since anges are vertical By Vertical Opposite angle property of Intersecting Lines

HOPE IT HELPS YOU.MARK ME AS BRAINIEST

Solve the following system of equations:

x + 3y = −4
x + 5y = −6

(1, 1)
(−1, 1)
(1, −1)
(−1, −1)

Answers

Answer:

(-1,-1)

thats where they intersect

and thats the answer

Step-by-step explanation:

plz give brainlyest

Answer:

(-1,-1)

Step-by-step explanation:

A motorboat travels 172 km in 3 hours going upstream and 372 in 4 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

Answers

Answer:

The rate of the boat is 75.17 km/h and the rate of the stream is 17.83 km/h

Step-by-step explanation:

System of Equations

Let's call:

B = speed (rate) of the boat in still water

S = speed (rate) of the stream

The boat travels 172 km in 3 hours when going upstream, that is when the speed of the stream subtracts its own speed. The speed is the distance divided by the time, thus:

[tex]\displaystyle B-S=\frac{172}{3}[/tex]

Multiplying by 3:

3B - 3S = 172        [1]

The boat travels 372 km in 4 hours downstream when the speed of the current adds to its own:

[tex]\displaystyle B+S=\frac{372}{4}=93[/tex]

B + S = 93

Solving for B:

B = 93 - S       [2]

Substituting in [1]

3(93 - S) - 3S = 172

Operating:

279 - 3S - 3S = 172

279 - 6S = 172

Subtracting 279:

- 6S = 172 - 279

- 6S = -107

Multiplying by -1 and solving for S:

[tex]S = \frac{107}{6}\approx 17.83\ km/h[/tex]

From [2]:

[tex]B = 93 - \frac{107}{6}[/tex]

[tex]B=\frac{451}{6}\approx 75.17\ km/h[/tex]

Foster’s answer to the question he wrote for Ranger was 7x+(-3), while Ranger’s answer was 7x-3.They both checked their work by letting x=5, and they both claim to be correct.Are they both correct?Explain.

Answers

Answer: They are both correct :)

Step-by-step explanation:

They are both correct because 7x + (-3) is the same thing as 7x - 3 if you simplify it.

When you simplify it, you change the expression to:

7x + 1 (-3)

So now you have to distribute the 1 which gives you:

7x - 3

..since positive x negative is negative.

Hope that helped!

If f(x)=2x and g(x) = x-4 what is the value of g(f(3)) ?

Answers

Answer:

The value of g(f(3)) = 2

Step-by-step explanation:

We are given:

[tex]f(x)=2x[/tex]

[tex]g(x) = x-4[/tex]

And we need to find g(f(3))

First we need to find g(f(x))

by putting the value of f(x) into g(x) i.e put x = 2x

[tex]g(x)=x-4\\g(f(x))=2x-4[/tex]

Now, we need to find g(f(3)) by putting x = 3 in g(f(x))

[tex]g(f(x))=2x-4\\Put\: x=3\\g(f(3))=2(3)-4\\g(f(3))=6-4\\g(f(3))=2[/tex]

So, the value of g(f(3)) = 2

What is the inequality shown?

Answers

Answer:

-1<X<2

Step-by-step explanation:

i think this is correct

Is 15625/1000000 between -1 and 0??

Answers

Answer:

no

Step-by-step explanation:

It would be like 0.(something) meaning it would be more than 0

Which point is at 44.197 on the number line?

Answers

Answer:

C

Step-by-step explanation:

because C

3x + 9 = x + 5 Two sided equations

Answers

Answer:

x=-2

Step-by-step explanation:

Let's solve your equation step-by-step.

3x+9=x+5

Step 1: Subtract x from both sides.

3x+9−x=x+5−x

2x+9=5

Step 2: Subtract 9 from both sides.

2x+9−9=5−9

2x=−4

Step 3: Divide both sides by 2.

2x /2=-4/2

x=−2

-20 > -2x + 4 inequality

Answers

Step-by-step explanation:

-20 > -2x + 4

2x > 4 + 20

2x > 24

x > 12

or

x ∈ 《12 , + ∞》

-20 > -2x + 4

-20 -4 > -2x

-24 > -2x

-24/-2 < x  <inequality changes when you divide by a -ve no. >

12 < x

3x – 4y = 2; 6x – 8y = 1 .

How many solutions PLEASE

Answers

Answer:

No solution

Step-by-step explanation:

3x - 4y = 2

6x - 8y =1

Multiply the first equation by -2 so you can eliminate the x's.

-2(3x-4y =2)

6x - 8y = 1

-6x + 8y = 2

6x - 8y = 1

Add the equations so they cancel.

0 + 0 = 3

0 [tex]\neq[/tex] 3, therefore there are no solutions.

i need help with part a and b. sorry its kind of hard to read

Answers

Answer:

A) 4900

B) How far above she is before she starts hiking/the distance she is from the canyon floor.

Step-by-step explanation:

Since it's linear, it will follow the formula y=mx+c.

We can sub in the values to get:

3500=m(1)+c → 3500-m=c

2100=m(2)+c → 2100 = 2m+c

Sub '3500-m' in for c:

2100=2m+3500-m

m= -1400

c=3500-m=3500-(-1400)=3500+1400=4900

∴equation is: y= -1400x+4900

To find the initial value, ie when the number of hours = 0, we sub in zero for x:

y = -1400(0) + 4900

PART A ANS: 4900

PART B ANS: Since the number of hours passed is zero, the value represents how far above she is before she starts hiking/the distance she is from the canyon floor.

Help ASAP don't spam please, its about exponents

Answers

Answer:

C

Step-by-step explanation:

3^pi is equal to 31

5^squareroot of 2 is equal too 10

4^squareroot of 11 is equal too 99

2^squareroot of 5 is equal to 5

so say if its 4:30 pm now for me, what time will it be in 4 and a half hours? im lazy lolz

Answers

Answer:

9:00

Step-by-step explanation:

9:30 or either 9 but yea

Hello can you help meee

Answers

Answer:

[tex]x=4\sqrt{2}[/tex]

Step-by-step explanation:

The given triangle is a 45°-45°-90° triangle. Use the following rule:

[tex]leg=leg\\\\hypotenuse=leg*\sqrt{2}[/tex]

The length of the legs is 4. Insert this value into the equation:

[tex]h=4*\sqrt{2}[/tex]

Simplify:

[tex]h=4\sqrt{2}[/tex]

:Done

A store is having a sale on office
products. Leo buys 4 notebooks that
have a regular price of $3.30 each. They
are on sale for 20% off the regular
price. How much does Leo pay for the
4 notebooks before sales tax?
A $0.66
B $2.64
C$10.56
D $13.20

Answers

Answer:

c. $10.56

Step-by-step explanation:

$3.30 x 4 = $13.20 x 0.20 (20%) = $2.64

$13.20 - $2.64 = $10.56

how do you work

8x= -4x -3x​

Answers

first combine like terms on each side so
8x = -7x
then move -7x
so x=0
x=0. Combine -4x-3x which is -7x. move -7x to the other side and set the equation equal to 0. Combine like terms to get 15x then divide both sides by 15 to get x by itself

please help me please will give brainliest to ​

Answers

Answer:

D) (1, -1)

Step-by-step explanation:

point G corresponds with point L

the coordinates of pt G are (2, -2) so take 1/2 of each to get (1, -1)

Find the slope of the two points below

Answers

Answer:

-3/2

Step-by-step explanation:

Formula for slope is y2-y1/x2-x1

3-5/3-1

-3/2

Pleaseee help IM stuck

Answers

Answer:

The first one

Step-by-step explanation:

I think that for you to convert miles to feet you would need to cancel out miles which means miles goes in the bottom. I'm not sure though

(04.01)

Consider the following scenario describing the Cambridge Mall parking lot: The number of wheels in the parking lot is based on the number of cars in the parking lot.

Does this scenario represent a function?

(A) Yes, because the number of cars is specific to the number of wheels in the parking lot
(B) Yes, because the number of wheels is specific to the number of cars in the parking lot
(C) No, because the number of wheels is specific to the number of cars in the parking lot
(D) No, because the number of cars is specific to the number of wheels in the parking lot

Answers

Answer:

BB

Step-by-step explanation:

BBBBBBBBBB BBBBBBBBBBBBBBBBBBBBBBBBBBB

ITS B I GOT IT RIGHT ON THE EXAM

Answer:

b Yes, because the number of wheels is specific to the number of cars in the parking lot

Step-by-step explanation:

because i did this quiz and got it right

How do I solve this guys or girls

Answers

Answer:

Naruto usamaki is the greatest hokagey in the leaf village

Step-by-step explanation:

I took the test on edge

Pleas help it’s due tomrrow

Answers

Answer:

Step-by-step explanation:

K is located at -25

L is located at -15

just move 5 units away from J on both sides

hope this helps <3

What percent of 65 is 13

Answers

Answer:

20 percent

Step-by-step explanation:

Just divide 100 by 65 and multiply that number by 13.

Answer:

20%

Step-by-step explanation:

This is the answer because:

1) Convert the fraction to a decimal, then multiply by 100:

13 x 100 ÷ 65 = 20

Therefore, the answer is 20%

Hope this helps! :D

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