10.
Find the measure of angle x. Hint. The sum of the measures of the angles in a triangle is 180 degrees.


A. 6°


B. 90°


C. 180°


D. 86°

Answer:

[tex]17\sqrt{3}[/tex]

Quiz Results:

The length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd

The right angled triangle in which, the angles are of the measure 30, 60 and 90 degrees is called 30-60-90 Special Right Triangle.

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

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

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

The wider the angle is, the larger the side opposite to is.

For this right angled triangle, the side opposite to 60 degrees angle is larger leg (let it be of x yd), and the side opposite to 30 degrees angle is shorter leg (of 17 yd).

As shown in the image below, using the sine law for non right angles,  we get:

[tex]\dfrac{\sin\angle A}{a} = \dfrac{\sin\angle B}{b}\\\\\dfrac{\sin(30^\circ)}{17} = \dfrac{\sin(60^\circ)}{x}\\\\x =\dfrac{17 \times \sin(60^\circ)}{\sin(30^\circ)} = 17\sqrt{3} \: \rm yd[/tex]

Thus, the length of the longer leg in the considered 30-60-90 Special Right Triangle is given by: Option 3) 17√3yd

Learn more about law of sines here:

https://brainly.com/question/17289163

Answer:

the answer should be 5.1

Step-by-step explanation:

Answer:all students in the social studies club

Answer:

I dont know the answer to this but I was putting this here to tell you how much of a good person you are.  I was taking the ming china cause and effect chart and I didnt know the answer and your answer on that helped me alot and thank you very much you helped my grade to go from a b to an a thank you you are one of the kindest people I know.  Thank you :)

Step-by-step explanation:

Answer:

We'll need the attached equation.

We'll use as an example that principal = 100 and total =200.

Years = ln (total/principal)   /  rate

where "ln" means natural log

Years = ln (200/100) / .06

Years = ln (2) / .06

Years = 0.69314718056 / .06

Years = 11.5524530093

Source:  http://www.1728.org/rate2.htm

Step-by-step explanation:

471.2

The 10 is the diameter and you need the radius to do it so you do diameter dived by 2 which gives you the radius then you the radius to the power of 2

so the formula would be (3.14)(5)²(6)

Answer:

the answer is D

Step-by-step explanation:

hope it helps

Answer:

−28r−28

Step-by-step explanation:

−4(7r+7)

=(−4)(7r+7)

=(−4)(7r)+(−4)(7)

Answer: 77 degrees

Step-by-step explanation:

When looking at an arc, you use the inscribed angle theorem, which states that the measure of an inscribed angle is half of the measure of its interpreted arc. So since the measure of the arc is 154 degrees, you divide that by 2 and that will give you the measure of the angle, which is 77 degrees.

Answer: 1/14 assuming cards are nut returned back in deck

Step-by-step explanation: first is red P(1. R) = 4/8 = 1/2

Second red P(2. R) = 3/7 and P(3. R) = 2/6 = 1/3.

Multiply probabilities , you get 1/14

Answer:

4/56 simplified is 1/14

Step-by-step explanation:

nCr(8,3) = 56

4 (the number of red cards there are) / 56 = 1/14

Hey there!

4n + 11 - 2n - 5

COMBINE the LIKE TERMS

= (4n - 2n) + (11 - 5)

= 4n - 2n + 11 - 5

= 2n + 6

Therefore, your answer should be:

2n + 6

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

[tex] \sf \: 2n + 6[/tex]

Step-by-step explanation:

Now we have to,

→ Simplify the given expression.

Main steps included in solving,

→ Rearranging the expression.

→ Combining the like terms.

The expression is,

→ 4n + 11 - 2n - 5

Let's simplify the expression,

→ 4n + 11 - 2n - 5

→ (4n - 2n) + (11 - 5)

→ (2n) + (6)

→ 2n + 6

Hence, the answer is 2n + 6.

Answer:

its 12

heart if it helped!

Answer:

B

Step-by-step explanation:

Answer:

B  is the answer!.

Answer:

(6,5) is an ordered pair to this question.

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

1st we have to go right to the origin 6

then up to 5

According to the question,

coordinate

Answer: 9/8

Step-by-step explanation:

Answer and Step-by-step explanation:

The answer to this question is 21.

We can easily find the height of the triangle by going to the bottom point of the triangle and counting up each line.

The height is equal to 6.

When we create this line for the height, it sections off two triangle, one with a side of 4 and the other with a side of 3.

To find the area of a triangle, we must Multiply the side lengths together, then Divide by 2.

Triangle 1

4 × 6 = 24

24 ÷ 2 = 12

Triangle 2

3 × 6 = 18

18 ÷ 2 = 9

Now, we add together the areas to get the area of the full triangle.

12 + 9 = 21.

The area of the triangle is 21 [tex]cm^2[/tex].

#teamtrees #PAW (Plant And Water)

Answer:

Step-by-step explanation:

1 in^2 = 5 mi * 5 mi = 25 mi^2

2.5 in^2 (25 mi^2/in^2) = 62.5 mi^2

Answer:

15

Step-by-step explanation:

Total quantity of clay = 5 pound

Now, Reynolds  divides the clay into 1 third pound pieces.

this means each piece of clay weighs = 1/3 pounds

Therefore, number of pieces of clay = Total weight of clay/ weight of each piece

= 5/(1/3) = 15

Answer:

y = x -15

Step-by-step explanation:

Answer:

3.49

Step-by-step explanation:

B = 5.5-2.01 = 3.49

have a great day!

Answer:

b=3.49

Step-by-step explanation:

5.5 - 2.01 = 3.49

2.01 + 3.49 = 3.49

can I have brainllest

Answer: Galaxy c is the farthest

Step-by-step explanation:

Answer:  

shaded Area hexagon = Around 281 squared feet

shaded area square  24 squared inches

Step-by-step explanation:

regular hexagon is made up of 6 equilateral triangles. All sides are equal

The formula for finding the area of a hexagon is Area = (3√3 s2)/ 2 where s is the length of a side of the regular hexagon.

Side big hexagon = 12

side small hexagon = 6

BIG    A=  (3√3 144)/ 2 =   374.1230...

small  (3√3 36)/ 2 = 93.5307...

shaded = BIG minus small

374.1230... - 93.5307... = 280.5923... squared feet

BIG SQUARE   diagonal = 8

area of a square using diagonals = ½ × d2 Square units.

= ½ × 64  =   32     Square units.

small square   (diagolal 4)

½ × 16 Square units. = 8  square inches

Area shaded  32-8 = 24 square inches

Answer:

if you are doing times then it would be 216 feet

Step-by-step explanation:

18 x 12 equals 216 I hope it helped

Step-by-step explanation:

5²=4²+x²

25=16+x²

25-16=x²

9=x²

√9=√x²

3=x

A