AB = 6cm , AC = 12cm. Calculate the length of CD
Give your answers to 3 significant figures

This is a special kind of right triangle, called a 30-60-90 triangle.

Across from the 30 degree angle, the side is equal to x. Across from the 60 degree angle, the side is equal to x[tex]\sqrt{3}[/tex]. And across from the 90 degree angle, the side is equal to 2x.

Using what we know about 30-60-90 triangles, lets first solve for x. We know that the hypotenuse, given, is equal to 6.

2x = 6

x = 3

Then, we are looking for the side opposite of the 60 degree angle. So its value is  x[tex]\sqrt{3}[/tex].

x = 3

3 *  [tex]\sqrt{3}[/tex] = 3 [tex]\sqrt{3}[/tex]

y =  3[tex]\sqrt{3}[/tex] (option D)

Hope this helps!! :)

The value of y for the given triangle will be  3√3, hence option (D) will be correct.

A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.

Right angle triangles are triangles in which one angle is 90°.

The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.

Given a right-angle triangle

Let the side opposite to 30° is perpendicular and the remaining y will be base.

By trigonometric relation

cosx = base/hypotenuse

cos30° = y/6  

y = 6 × cos30°  ⇒  y = 6 ×  √3/2

y = 3√3 hence the value of the hypotenuse or y will be 3√3.

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Answer:

salim go the best deal sorry if i am wrong

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer: plane a because it was 10.46 miles away

Step-by-step explanation:

Answer:

look below!

Step-by-step explanation:

For the length I think you meant 32, and if you did it is $14.40

If not and you meant length of 2 it is $0.90

Answer:

lxwxh for volume.

2x.75x.5 = .75 cubic meters.

.75 percent of 1.20 = .90.

90 cents is the answer.

Answer:

(3, 2 )

Step-by-step explanation:

Given the 2 equations

4x + y = 14 → (1)

5x + 2y = 19 → (2)

Multiplying (1) by - 2 and adding to (2) will eliminate the y- term

- 8x - 2y = - 28 → (3)

Add (2) and (3) term by term to eliminate y

- 3x + 0 = - 9

- 3x = - 9 ( divide both sides by - 3 )

x = 3

Substitute x = 3 into either of the 2 equations and solve for y

Substituting into (1)

4(3) + y = 14

12 + y = 14 ( subtract 12 from both sides )

y = 2

solution is (3, 2 )

Step-by-step explanation:

[tex] \underline{ \underline{ \text{USING \: ELIMINATION \: METHOD}}}[/tex]

[tex] \underline{ \underline{ \text{ Solution}}} : [/tex]

Multiply equation ( i ) by 2 & Subtract from ( ii ). The equation ( i ) now becomes 8x +2y = 28 { 2 ( 4x + y ) = 2 × 14 }. Remember that while subtracting the sign of each term of equation ( i ) changes and now , it becomes -8x-2y = -28.

[tex] \text{5x + 2y = 19}[/tex]

[tex] \text{ - 8x - 2y = - 28}[/tex]

_____________________

[tex] \text{ - 3x = - 9}[/tex]

Solve for x :

⤑ [tex] \tt{x = \frac{ - 9}{ - 3}} [/tex]

⤑ [tex] \tt{x = 3}[/tex]

Now , substitute the value of x in equation ( ii ) :

⟼ [tex] \text{5 × \: 3 + 2y = 19}[/tex]

⟼ [tex] \text{15 + 2y = 19} [/tex]

⟼ [tex] \text{2y = 19 - 15}[/tex]

⟼ [tex] \text{2y = 4}[/tex]

⟼ [tex] \text{y = 2}[/tex]

[tex] \pink{ \boxed{ \boxed{ \tt{⤿ \: Our \: final \: answer : \boxed{ \boxed{ \tt{x = 3 \: and \: y = 4}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day night ! ♡

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Answer:

60%

Step-by-step explanation:

Answer:

385 yards

Step-by-step explanation:

From the information provided we can only assume that the two hits that Tasha performed were in a straight line and in the same direction. Otherwise we would need to know the direction and/or angle of the shots. Assuming they were straight, the shortest minimum distance between the tee area and the hole would be calculated by adding the distance of the two shots.

220 yards + 165 yards = 385 yards

Answer:

[tex]1) y=2x\\2) y=x+3[/tex]

Step-by-step explanation:

[tex]1) y=2x\\2) y=x+3[/tex]

Hope I helped!

Check out my profile for more answers!

Answer:

Assuming that the line is completely horizontal, that the 1 at the top is indicating the question number, and that the 3 is the only other piece of information given about the line, I think it's y = 3. I hope this is right, sorry because that's a terrible question. Good luck!

Answer:

-6/5

Step-by-step explanation:

slope =coefficient of x

Answer:

I agree with both of them

Step-by-step explanation:

A dozen is 12 muffins. Therefore, you pay $3.00 for 12 muffins.

We know that you pay $3.00 for 12 muffins we need to find out how much EACH muffin cost. For that we need to divide $3.00 by 12 which is 0.25.

Now we need to know how much it will cost us for 16 muffins. We use our equation 16*0.25 which is 4. Elena said she will pay 4 so she is right.

Andre said he will buy 8 muffins so we use our equation again 8*0.25 which is 2. He said he will pay 2 so he is right.

Answer:

x=number of rides taken

y=number of tickets left

60=4(x)+y

Answer:

Step-by-step explanation:

1/4 :10=1/40

1/40=x/4

x=4/40=1/10

Answer:

7

Step-by-step explanation:

x-7=7-x

2x-7=7

2x=14

x=7

Answer:

x = 7

(Hope this helps! Btw, I am the first to answer. Brainliest pls! :D)

Answer: A TV that usually sells for $185.63 is on sale for 25% off. If sales tax on the TV is 5%, what is the price of the TV, including tax?

178.18 x 0.25 = 44.55

178.18 - 44.55 = 133.63 = sales price

133.63 x 0.05 = 6.68

133.63 + 6.68 = 140.31 = total price

Step-by-step explanation: That's how I solved it...

Answer:

The answer is number four(4).

Answer:

Um...

Step-by-step explanation:

Hai

Answer:

7<x-5

12<x

x>12

Step-by-step explanation:

Answer:

(6,0)

Step-by-step explanation:

Used Desmos Scientific calculator.

Answer:

1. 14x

2. 5x + 3x

Step-by-step explanation:

1) 4x + 10x = 14x

2) By "like-terms" the question means that the expression contains the same variable part. Therefore, the only expression that meets that is 5x + 3x.

$9436 EMI Keri has to pay for $500,000 loan at the rate of 5% for 5 years.

equated monthly instalment or EMI relates to payments made regularly to repay an outstanding loan within a certain time frame.

Given loan rate is 5% and time period is 5 years let total amount is $500,000. Formula for EMI Calculation is -

P x R x (1+R)^N / [(1+R)^N-1] where-

P = Principal loan amount.

N = Loan tenure in months.

R = Monthly interest rate.

R = Annual Rate of interest/12/100.

Putting these values in above equation

EMI = 500000 *5* *(1 + 5%)^60 / [(1 + 5%)^60]

EMI = 9436

Therefore, Keri must pay a $9436 EMI on her $500,000 loan over five years at a rate of 5%

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Answer:

the answer is 2

Step-by-step explanation:

Answer: The boys ate 2 more pizza's than the girls.

Step-by-step explanation:

Girls = 3 pizzas

Boys = 5 pizzas

Now subtract them:

5 - 3 = 2

Answer:

C

Step-by-step explanation:

The lake because its constantly increasing at 3 F per hour and at the beach its only 0.5 F per hour. The lake's temperature moved from 71 to 83 in 4 hours which is 12 F in 4 hours which means 3 F per hour. Hence, the lake's temperature was moving at a faster rate.

Answer:

x= 8.5, 2x=17, (9x+5)=81.5

Step-by-step explanation:

since the sum of the interior angles of a triangle is 180 degrees, you must add all of the angles and set them equal 180:

[tex]2x + 2(9x+5) = 180[/tex]

next distribute the 2 to 9x + 5.

[tex]2x + 18x + 10 = 180[/tex]

next combine like terms (2x and 18x) and subtract 10 from 180.

[tex]20x = 170[/tex]

finally, divide 170 by twenty.

[tex]\frac{20x = 170}{20}\\,x=8.5[/tex]

the final answer is x=8.5

once x is determined, you can solve 2x and 9x+5.

[tex]2(8.5)=17\\\\9(8.5) +5 =81.5[/tex]

Answer:

15

Step-by-step explanation:

Answer:

4r^12 t^2

Step-by-step explanation:

Use the exponants : ( 8r^6t^3 )/4t^2

simplifie :( 2r^6t^3 )/t^2

Use the exponent : ( 2r^6t^3 )/t^2 = 4r^12t^2

Answer:

Step-by-step explanation:

a+b=36

lets name the 2 numbers a,b

b=a+18

a+a+18=36

2a=36-18

2a=18

a=9

b=27

Answer:

the numbers are 9 and 27

Step-by-step explanation:

equation to the problem: x+y=36

one number (y) is 18 times greater than the other number (x): x+18=y

plug in the 2nd equation to the first equation (systems of equations):

x+(x+18)=36

solve the equation:

2x+18=36

*minus 18 on both sides*

2x=18

*divide the whole equation by 2 to get the value of just one x*

x=9

since variable x is the n smaller number, add 18 to 9 to get the 2nd number:

18+9= 27

y=27