Find a. Round to the nearest tenth
12 cm
22 cm
31.8°
75°
a
a = [?] cm
Law of Sines: sin A
sin C
sin B
b
=
a
С
Enter

Find A. Round To The Nearest Tenth12 Cm22 Cm31.875aa = [?] CmLaw Of Sines: Sin Asin Csin Bb=aEnter

Answers

Answer 1

Answer:

21.8cm is the required answer

Step-by-step explanation:

Answer 2

The measurement of the third side of the triangle is 22 cm

What is sine law?

The law of sine or the sine law states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

Given is a triangle with angles 75° and 31.8° also two of its sides are 12 and 22 we need to find the third side of the triangle,

Finding angle A

180°-(75°+31.8°) = 73.2°

Now, using the sine law,

Sin 73.2° / a = Sin 75° / 22

a = 21.80

a ≈ 22

Hence, the measurement of the third side of the triangle is 22 cm

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Related Questions

8. Find the value of x in the isosceles triangle.

Answers

X is 15 inches long.
Work is shown in the picture

Is figure ABCD a translation of Figure ABCD

A. Yes it is translated 2 units left and 2 units up

B. Yes it is translated 1 unit left and 3 units up

C. Yes it is translated 3 units left and 1 unit up

D. No the two figures are oriented diferently

Answers

the answer is a .. hope this helps .

Review: Jen sells flowers. She charges $2 per flower plug a $3 flat delivery fee. How many flowers did she deliver if she made $21?

Answers

Answer:

she delivers 9 flower plugs.

Step-by-step explanation:

in a standard equation the equation would be 21 = 2x + 3 and if you isolate the x you would have to first subtract the 3 from both sides and that would leave you with 18 = 2x and then you have to divide both sides by 2 and get 9=x

(4+4)÷22×2

plss someone answer hurry <3

Answers

Answer:

first is 4+4=8.........second is 22×2=11 ..........third is 8÷11=0.7272727273 u can do it 0.72

Step-by-step explanation:

hope this help

Answer:

0.72

Step-by-step explanation:

Grocery store scales are occasionally checked by inspection agencies for their accuracy in reporting the weights of purchased merchandise. Scales are allowed to operate as long as the percent error of their reported weights is within 0.5% of the actual weight measured. If you wanted to purchase 15.0 pounds of flour, what range of weights is the scale allowed to report in order to be compliant with local inspection agency regulations.

Answers

Answer:

The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.

Step-by-step explanation:

The weights should be within 0.5% of the actual weight measured.

15.0 pounds

0.005*15 = 0.075

Tolerance of 0.075 pounds

15 - 0.075 = 14.925 pounds

15 + 0.075 = 15.075 pounds

The range of weights in the scale allowed to report in order to be compliant with local inspection agency regulations is between 14.925 pounds and 15.075 pounds.

How would you graph
y = 2x - 1? , ILL MARK BRAINLIST

Answers

It’s the pink one
The one on the right

Answer:

Starts at negative 1 Y-axis, and then go yp 2 and 1 to the right

5) Solve this system by graphing.
-2x - 4y = -8
y = x-10

Answers

The solution is (8,-2)
Plot the equations on a graph, at the point of intersection is the solution for both equations.

Equation in point slope form (5,-12);m=-2/3

Answers

Answer:

y + 12 = -2/3(x - 5)


Inverse of
f(x) = 4x+16

Answers

F-1 (X)= x/4 -4 I think this is it

how do you solve y+1=2x

Answers

y =2x-1

Step-by-step explanation:

Given the function g(x) = 4x - 5, compare and contrast g(2) and g(-4). Choose the statement that is true
concerning these two values.
O a
The value of g(2) is larger than the value of g(-4).

Ос
The value of g(2) is smaller than the value of g(-4).
The value of g(2) is the same as the value of g(-4).
The values of g(2) and g(-4) cannot be compared.
Od

Answers

Answer:

The value of g(2) is larger than the value of g(-4)

Step-by-step explanation:

2 is a larger number than -4, so automatically, the value of g(2) would be larger.

13 POINTS AND WILL BE MARKED BRAINLIEST IF CORRECT!

Answers

Answer:

I think its 144!!!!!!!!!!!!!!!!!!

Answer:

Diagram 2  (Bottom diagram)

Step-by-step explanation:

The ratio is twice as many (2)

2:1


The price of an item yesterday was $40. Today, the price fell to $22. Find the percentage decrease.

Answers

Answer:

45%

Step-by-step explanation:

40 * .45 = 18

40-18 = 22

The percentage decrease of an item would be 45%.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

We can determine the value of the percentage decrease by the following formula,

percentage decrease = (initial value - reduced value) / initial value × 100%

As per the given question, we have

initial value = $40, and reduced value = $22

Substitute the values in the above formula, and we get

percentage decrease = (40 - 22) / 40 × 100%

percentage decrease = (18) / 40 × 100%

percentage decrease = 0.45 × 100%

Apply the multiplication operation, and we get

percentage decrease = 45%

Thus, the percentage decrease of an item would be 45%.

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what is 1 + 3s > 7 sadhfashdfajdfadfa

Answers

Answer:

4??????????????

Step-by-step explanation:

&÷&$^#£#*$,$

Which table represent a linear function? Pic attached and I will mark Brainly

Answers

Answer:

3 one

Step-by-step explanation:

seems logical hope this helped

Please help! Find the value of X. Round to the nearest tenth. acellus

Answers

9514 1404 393

Answer:

  38.2°

Step-by-step explanation:

The law of sines tells you ...

  sin(x)/15 = sin(27°)/11

  sin(x) = (15/11)sin(27°) . . . . . multiply by 15

  x = arcsin((15/11)sin(27°)) ≈ arcsin(0.619078) ≈ 38.2488°

  x ≈ 38.2°

_____

Additional comment

In "law of sines" problems, you need to identify a side and opposite angle that you know both values of. Then, you need to identify whether you're looking for an angle or a side, and whether its opposite side or angle is known. If two angles are known, you can always figure the third from the sum of angles in a triangle.

Here, we have angle 27° opposite side 11. We are looking for an angle, and we know its opposite side. This lets us use the ratio formula directly. Since the angle is the unknown, it is useful to write the equation with sines on top and sides on the bottom.

The given angle is opposite the shorter of the given sides, so this triangle has two solutions. We assume that we want the solution that is an acute angle  (141.8° is the other solution). That assumption is based on the drawing. Usually, you're cautioned not to take the drawings at face value.

solve the equation (0°≤A≤360°)
a) √3sinA-cosA=√2​

Answers

Step-by-step explanation:

√3sinA-cosA=√2

dividing both side by (√3²-1²=2 we get)

√3/2 sinA-1/2.cos A=√2/2

cos 30sinA-sin30cosA=√2/(√2×√2)

sinAcos30-cosAsin30=1/√2

sin(A-30)=sin45,sin(180-45)

therefore

A-30=45,135

A=45+30=75 or A=135+30=165

Evan sells bicycles in his store. He marks up the prices by 40% of what he pays for them. If he
sells a gold bicycle for $180.49. how much did he buy it for?

Answers

Answer:

Step-by-step explanation:

1.40x = 180.49

x= $128.92

evaluate the expression for the given value of the variable



4(x-4); x=7​

Answers

Answer:

12

Step-by-step explanation:

substitute x = 7 into the equation:

[tex]4 (7-4)\\4(3)\\12[/tex]

Answer:

12

Step-by-step explanation:

First, you insert the 7 in place of the x. Then you do what is in the parenthesis, according to PEMDAS. 7-4 = 3. You end up with 4(3). You then do distributive property and you end up with 12.

3. Which number is a natural number?
A-2.5
B 5-151
C-13+51
D|-81-2

Answers

Answer:

C

Step-by-step explanation:

A natural number is a number that you would use to count kids in a class for example. Like, 1,2,3,4 and so on. 2.5 is not a natural number since there cant be 2.5 of a student. 5-151 is a negative number and there cant be negative students. -13+51=38. 38 is a natural number. Now, in D it looks like there mightve been a absolute value sign but im not sure. If D has absolute value signs then D works too. Hope I could help.

What is the y-intercept of the line given by the equation y = 8x + 75?
A. (0,75)
B. (0,-8)
C. (0, -75)
D. (0,8)​

Answers

Answer:

The answer is A.

Step-by-step explanation:

In a linear equation, y = mx + b where b represent y-intercept.

y-intercept is the point where it touches y-axis, so the value of x is 0.

The y-intercept of the given equation is (0, 75). Therefore, option A is the correct answer.

What is a y-intercept?

In Maths, an intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis. This is represented when we write the equation for a line, y = mx+c, where m is slope and c is the y-intercept.

The given equation of a line is y=8x+75.

To find the y-intercept, set x = 0 and solve for y.

Here, substitute x=0 in y=8x+75, we get

y=8(0)+75

y=75

So, the y-intercept is (0, 75)

Therefore, option A is the correct answer.

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When Trudy planted a large bush in her garden, it was 2 feet tall. Now it is 50% taller. How tall is the bush now?

Answers

Answer: 3 feet tall

Step-by-step explanation:

50% of something is also 1/2 of it. So if we multiply 2 by 1/2 or .5, we get 1. So then we take 1 and add it to 2 because it is 50% taller than what it used to be.

2.945 to the nearest hundredth​

Answers

Answer:

2.95

Step-by-step explanation:

2.945 would round up to 2.95 because when a number is followed by 5 it rounds up.

PLZZZZZ HELP IT IS DUE IN 5 MINUTES

Answers

i’m pretty sure it’s D

What is the equation of a line, in general form, that passes through point (1,-2) and has a siope of 1/3?

Answers

9514 1404 393

Answer:

  x -3y -7 = 0

Step-by-step explanation:

The general form of the equation for a line is ...

  ax +by +c = 0

where a, b, c are mutually prime and the leading coefficient is greater than zero.

__

The general form equation for a line with slope m = rise/run through point (h, k) can be found by simplifying ...

  rise(x -h) -run(y -k) = 0 . . . . where run has the sign of the slope

For the given point and slope, we have ...

  1(x -1) -3(y -(-2)) = 0

  x -3y -7 = 0

Shaun's earnings at $12 per hour were less than $150. Write an inequality

Answers

Answer:

I think that the answer is 12x<150

Answer:

12x<150

Step-by-step explanation:

Please help!!!!

If f(1) = 2 and f(n+1) = f(n)^2 – 3 then find the value of f(3).

Answers

Answer:

The value of f(3) is -2.

Step-by-step explanation:

This is a recursive function. So

[tex]f(1) = 2[/tex]

Now, we find f(2) in function of f(1). So

[tex]f(1+1) = f(1)^2 - 3[/tex]

[tex]f(2) = f(1)^2 - 3 = 2^2 - 3 = 1[/tex]

Now, with f(2), we can find the value of f(3).

[tex]f(2+1) = f(2)^2 - 3[/tex]

[tex]f(3) = f(2)^2 - 3 = 1^2 - 3 = -2[/tex]

The value of f(3) is -2.

PLS HELP GIVING BRAINLESS TO FIRST PERSON PLS HELP

Answers

The answer to this question is A x<8

Which exponential equation is equivalent to this logarithmic equation? logx 5 + logx 12 = 7

Answers

Answer:

x^7 = 60

Step-by-step explanation:

log(a)+log(b)=log(ab) so

logx 5 + logx 12 = logx (5*12) = logx 60

logx a = b means x^b = a so x^7 = 60

The logarithm equation in exponential form is x⁷ = 60

What is an Exponential Equation?

An exponential equation that can be represented in the form of abˣ.

The logarithm equation is:

logₓ 5 + logₓ 12 = 7

According to the rule of the logarithm,

log a + log b = log (ab)

logₓ ( 5 *12) = 7

logₓ ( 60) =7

According to the property of logarithm

logₓ ( a) = b

xᵇ = a

x⁷ = 60

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$99.99, 19% discount​

Answers

Answer:

$80.99

Step-by-step explanation:

Turn the percentage into a decimal.

19% -> 0.19

Multiply.

99.99 * 0.19 ≈ 19

Subtract.

99.99 - 19 = 80.99

Best of Luck!

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