Given side AB in triangle ABC has length x, what is the length of side AC?

Given Side AB In Triangle ABC Has Length X, What Is The Length Of Side AC?

Answers

Answer 1

The length of the side AC is 2x and this can be determined by using the sine function which is an important trigonometric function.

Given :

Given side AB in triangle ABC has length x.

The trigonometric function can be used to determine the length of the side AC. Sine function can be used to determine the length of AC.

The sine function is the ratio of the opposite side to the hypotenuse. The sine function is given by:

[tex]\rm sin\theta = \dfrac{Opposite }{Hypotenuse}[/tex]

Now, put the known values in the above equation.

[tex]\rm sin30^\circ = \dfrac{x}{AC}[/tex]

[tex]\rm \dfrac{1}{2}=\dfrac{x}{AC}[/tex]

AC = 2x

So, the correct option is D).

For more information, refer to the link given below:

https://brainly.com/question/21286835


Related Questions

write the equation of the line that passes through the given point and has the given slope write all final answers in slope intercept form (3,-8); slope = -3​

Answers

Step-by-step explanation:

the general slope intercept form is

y = ax + b

a is the slope.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

-8 = -3×3 + b = -9 + b

1 = b

so, the full line equation is

y = -3x + 1

I will give BRAINLIEST plz help

Answers

Answer:

-0.37

-2.86

0.91

0.19

1.46

Step-by-step explanation:

Damon drove 120 miles in 2 hours and Ashley drove 135 miles in 2.3 hours Ashley insists that she was traveling at a faster rate than Damon Is she accurate?

Answers

Ashley is incorrect, they’re traveling at the same rate. hope this helped

Can you help me please?​

Answers

Answer:

B

Step-by-step explanation:

The Pythagoras theorem states that [tex]c^{2} = a^{2} + b^{2[/tex], where [tex]c[/tex] is the hypotenuse and a and b are the adjacent and opposite sides of the hypotenuse. If we made [tex]a[/tex] the subject of the expression, the expression will be re-written as [tex]a^{2} = c^{2} - b^{2}[/tex], which is the correct answer.

PLEASE HELP ME, THIS IS THE LAST QUESTION AND IM DONE

Answers

Answer:

B) x=square root of 32

Step-by-step explanation:

B beacuse x is the square root of 32

haha 6 days of history, 3 weeks of math, and 1 week of english all to do tn. It's currently 9:27. oh well who cares aha kinda funny tho

Answers

Answer:

Good Luck - You can do it!!!!!!!

Step-by-step explanation:

I once had 3 months of math to do in one night, but I was able to complete it through online videos. Never Give Up!

Answer:

Sorry about that

Step-by-step explanation:

I hope you finished it all

uppose a normal distribution has a mean of 16 and a standard deviation of 4. A value of 26 is how many standard deviations away from the mean

Answers

Answer:

2.5 s. d.

Step-by-step explanation:

Use the formula for calculating z scores:

      26 - 16

z = ------------- = 10/4 = 2.5

           4

Here the value 26 is 2.5 standard deviations above the mean (16).

There are `15` pieces of fruit in a bowl, and `6` of them are apples.



What percent of the pieces of fruit in

Answers

Answer:

40% of the pieces of fruit in the Bowl are apples.

Step-by-step explanation:

Given the statement:- There are 15 pieces of fruit in a bowl and six of them are apples.

⇒ Total number of pieces of fruit in a bowl = 15 pieces

and

Number of pieces of apple in a bowl = 6 pieces.

To find the percentage of the pieces of fruit in the Bowl are apples.

=

Therefore, 40% of the pieces of fruit in the Bowl are apples.

Answer:

percent of apples = 40%

percent that is not apple = 60%

Step-by-step explanation:

percent of apples = 6/15 × 100% = 40%

percent that is not apple = 9/15 × 100% = 60%

Can someone please help solving for x

Answers

Answer:

x=6.7

Step-by-step explanation:

In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for x:

[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]

[tex]sin(31^\circ)=\frac{x}{13}[/tex]

[tex]13sin(31^\circ)=x[/tex]

[tex]x=13sin(31^\circ)[/tex]

[tex]x\approx6.7[/tex]

So, the opposite side is about 6.7 inches

I don’t understand this someone please help

Answers

Answer: table 1 is 35 and table 2 is 1.301

Step-by-step explanation:

The mean test scores with standard deviations of four English classes are given below. Class Mean Standard Deviation Mrs. Jones 89 1. 9 Mrs. Rijo 82 1. 4 Mr. Phan 73 3. 4 Mrs. Scott 90 6. 1 Which statement is most likely to be true? The scores of Mrs. Scott’s class are the closest to the class mean. The scores of Mr. Phan’s class are the closest to the class mean. The scores of Mrs. Jones’s class are the closest to the class mean. The scores of Mrs. Rijo’s class are the closest to the class mean.

Answers

Answer:

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

The scores from Mrs. Rijo’s class are the closest to the class mean.

after working out for 45 minutes, Juanita heartbeat at 75 beats in 30 seconds what equation represent the relatship of b and m

Answers

Answer:

abcdefghijklmnopqrstuvwxyz

4. Teanna drove 366 miles in 6 hours. How many miles did she drive in one hour? ​

Answers

Answer:

61 miles in one hour

Step-by-step explanation:

366/6=

6*6=36

366/6=06

6*1=6

366/6=061 miles per hour

Answer: 61 mph

Step-by-step explanation: 366miles/ 6 total hours= 61 miles driven each hour.

Both A and R are true, R is the correct explanation for A

Both A and R are true, R is not the correct explanation for A

A is true, R is false

A is false, R is true

Answers

I would say it's "A is false, R is true"

Look at it this way, (R is talking): A is false, this is obviously true.

It wouldn't really work the other way.

182 divided by 7 step-by-step

Answers

Answer:

26 is the quotient

Step-by-step explanation:

7 * 26 = 182

im not good at explaining but that's the answer

Maribel is taking advantage of the sale at Cassieś Cashew shoppe.she wants to figure out how much she will save on a purches of $34.Maribel´s percent ruler is shown below.Copy the ruler on your paper and help her figure out what 20% of $35 is.

Answers

An equation is an expression that shows the relationship between two or more variables and numbers.

Let x represent the money that Maribel would save on the sale.

Since she would save 20% on purchases, hence money saved on purchase of $35 is:

x = 20% of $35 = 0.2 * 35 = $7

Maribel saves $7 on the purchase of $35.

Find out more on equation at: https://brainly.com/question/2972832

answer..............................

Answers

Answer:

yes

Step-by-step explanation:

Put the following decimals in order from
least to greatest
{0.067, 0.06, 0.007, 0.09, 0.0076)

Answers

It’s not true even tho u think it’s true but it’s not

pls help asap! i will mark brainliest!

Answers

Answer:

19 or 17

Step-by-step explanation:

1) 1/2 × 4 × 2/3
2) 6 × 2/3 × 1/4
3) 8 × 2/5 × 10/12
4) 5/6 × 2/5 × 10
5) 1/9 × 3/4 × 1 ​

Answers

Answer:

1/2 times 4 4/2 2*2/3 4/3

What is the equation of the line that passes through the point (-2,-2) and has a slope of 4?

Answers

Answer:

y=4x+6

Step-by-step explanation:

[tex]\sf 2x+21=3[/tex]




Free

Answers

[tex] \sf \longmapsto \: 2x + 21 = 3[/tex]

[tex]\sf \longmapsto2x = 3 - 21[/tex]

[tex]\sf \longmapsto2x = - 18[/tex]

[tex]\sf \longmapsto \: x = \frac{ - 18}{2} [/tex]

[tex]\sf \longmapsto x = - 9[/tex]

Answer:

[tex]\bf x=-9[/tex]

Step-by-step explanation:

[tex]\sf 2x+21=3[/tex]

Subtract 21 from both sides:-

[tex]\sf 2x+21-21=3-21[/tex]

Simplify

[tex]\sf 2x=-18[/tex]

Divide both sides by 2:-

[tex]\sf \cfrac{2x}{2}=\cfrac{-18}{2}[/tex]

[tex]\sf x=-9[/tex]

Select all the options that have the same value as 3 1/2% of 20

Answers

Answer:

0.7, 7/10

Step-by-step explanation:

3.5% of 20 would be 3.5/100x20 = 3.5/5 = 0.7. Also, 0.7 = 7/10.

solve for x. -2(-4+3)-8=2(2+x)

Answers

Answer:

x = − 5

Step-by-step explanation:

Answer:

x=-5

Step-by-step explanation:

-2(-4+3)-8=2(2+x)

8-6-8=4+2x

2x=8-6-8-4

2x=-10

x=5

Solve for j.

j − –95 = 822

j =

Answers

Answer:

j = 727

Step-by-step explanation:

j - (-95) = 822j + 95 = 822j = 822 - 95j = 727

Select all ratios equivalent to 3:2.
10:1
15:10
18:12
Submit

Answers

None of these are equivalent to the ratio 3:2

Answer:

15:10, 18:12

Step-by-step explanation:

Technically speaking, the first value, 3, is 1.5x greater than the second value, 2.

So, in all other ratios, the first value should be 1.5x greater than the second.

We can check by dividing the first number of each ratio by 3, and if we multiply 2 by the quotient, it should be 1.5x smaller

___________________________________________________________

10:1, Incorrect

This is incorrect because the first value is not 1.5x greater than the second. It is 10x greater

10/3 = 3.333....

1 x 3.33... = 3.3333....

3.3333.... x 1.5 ≠ 10

15:10, Correct

This is correct because the first number is 1.5x greater than the second.

15/3 = 5

5 x 2 = 10

10 x 1.5 = 15

18:12, Correct

This is correct because the first number is 1.5x greater than the second.

18/3 = 6

6 x 2 = 12

12 x 1.5 = 18

-Chetan K

Solve 2x + 3(x+ 10) = 60.
O A. x = 6
O B. x = 5
O C. x= 3
O D. x = 7

Answers

Answer:

A. x = 6

Step-by-step explanation:

2x+3(x+10)=60

Use the distributive property to multiply 3 by x+10.

2x+3x+30=60

Combine 2x and 3x to get 5x.

5x+30=60

Subtract 30 from both sides.

5x=60−30

Subtract 30 from 60 to get 30.

5x=30

Divide both sides by 5.

x=  

5

30

 

Divide 30 by 5 to get 6.

x=6

What is the mean absolute deviation (MAD) of the data set?

2, 6, 8, 12, 12

Enter your answer as a decimal in the box.

Answers

Answer:

2+6+8+12+12=40

40 divided by 5=8

6+2+0+4+4=16

16 divided by 5=3.2

MAD=3.2

Step-by-step explanation:

Answer:

3.2

Step-by-step explanation:

I took the test

Write the equation of the line that passes through the given points (9,4) and (2,13)

Answers

Answer:

y = -9 / 7x + 109 / 7

Step-by-step explanation:

To find the equation of any line, you must find the slope and y-intercept (when writing in slope-intercept form). In this case, we can find both of these values by using the two coordinate pairs that are given:

Slope - the change in y over the change in x

9 / -7 = -9 / 7slope = -9 / 7y-intercept - when x = 0

Right now, since we have the slope, we know the equation will look like this: y = -9 / 7x + b, b is what we are trying to find, the y-intercept. To find b, we can substitute a given coordinate pair that we know will fit this line and then solve:

13 = -9 / 7 x 2 + b13 = -18 / 7 + b91 / 7 + 18 / 7 = b109 / 7 = b

After finding both the slope and y-intercept, we can now combine them together to form the equation of the line:

y = -9 / 7x + 109 / 7

Hope this helps!!

Given: △ABC, m∠A=60°,
m∠C=45°, AB=9
Find: Perimeter of △ABC,
Area of △ABC
Pleas be sure to answer BOTH PARTS ... thank you!

Answers

Answer:

p = 32.317

A = 47.911

Step-by-step explanation:

given ∠A = 60

∠C = 45

AB = 9

From sum of all angles in triangle is 180

∠A + ∠B + ∠C = 180

60 + ∠B + 45 = 180

∠B = 180 - 105 = 75

∠B = 75

from sine rule in ΔABC

AB / sin C = BC / sin A

=> 9 / sin 45 = BC / sin 60

=> 9 / 1/[tex]\sqrt{2}[/tex] = BC / [tex]\sqrt{3} / 2[/tex]

=> [tex]9\sqrt{2} = BC * 2 / \sqrt{3}[/tex]

BC = [tex]9\sqrt{2} * \sqrt{3} / 2\\[/tex]

BC = 11.023

length of AC is

AC / sin B = AB / sin C

AC / sin 75 = 9 / sin 45

AC = 9 / 1/[tex]\sqrt{2} * sin 75[/tex]

= [tex]9\sqrt{2} * sin 75\\12.294[/tex]

perimeter of ΔABC

AB + BC + CA

= 9 + 11.023 + 12.294

= 32.317

Area of ΔABC is

= 1/2 * AB * AC * sin A

= 1/2 * 9 * 12.294 * sin 60

= 1/2 * 9 * 12.294 * √3/2

= 47.911

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