What is the area of the polygon?

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:

Number of bags of chocolate chip cookies = x = 0.133 bags

Number of bags of walnuts = 7.7 bags

Step-by-step explanation:

Chocolate chip cookies = 12oz per bag = $3

Walnuts = 4oz per bag = $2

She need 3 pounds of Chocolate chip cookies and Walnuts

Let us represent

Number of bags of chocolate chip cookies = x

Number of bags of walnuts = y

She need 3 pounds of Chocolate chip cookies and Walnuts

Hence,

We have to convert oz (ounces) to pounds

For chocolate chip cookies

1 oz = 0.0625 pound

12 oz = x

Cross Multiply

x = 12 × 0.0625 pound

x = 0.75pound

For Walnuts

1 oz = 0.0625 pound

4 oz = x

Cross Multiply

x = 4 × 0.0625 pound

x = 0.25pound

Hence,

0.75 pound = $3

0.25 pounds = $2

She can only spend $15

Chocolate chip cookies = 12oz per bag = $3

Walnuts = 4oz per bag = $2

Hence,

0.75x + 0.25y = 3..... Equation 1

3x + 2y = 15.... Equation 2

Multiply Equation 1 by 2 and Equation 2 by 0.25

1.5x + 0.5y = 3... Equation 3

1.5x + 4y = 30.... Equation 4

Subtract Equation 3 from 4

3.5y = 27

y = 27/3.5

y = 7.7 bags

Solving for x using Equation 2

3x + 2y = 15.... Equation 2

3x + 2(7.7) = 15

3x + 15.4 = 15

3x = 0.4

x = 0.4/3

x = 0.133 bags

Number of bags of chocolate chip cookies = x = 0.133 bags

Number of bags of walnuts = 7.7 bags

Answer:

14boxes

Step-by-step explanation:

Given the following

Length of truck: 3 1/2 yds

Width of truck: 5 yds

Height of truck: 2 1/2 yds

Volume of truck = Length * Width * Height

Volume of truck = 3 1/2 * 5 * 2 1/2

Volume of truck = 7/2 * 5 * 5/2

Volume of truck  = 7/4 cubic yards

For each box

Length L = 1/2 yd

Volume of each box = 1/2 * 1/2 * 1/2

Volume of each box = 1/8 cubic yds

Since 1 box = 1/8 cubic yds

x box = 7/4 cubic yds

Cross multiply

1/8x = 7/4

Cross multiply

4 * x =   7 * 8

4x = 56

x = 56/4

x = 14

Hence the total boxes that can fit in the trunk is 14boxes

Answer:

It is correct how you put it

Answer:

I don't really understand this problem from the picture but here is some tips-

Step-by-step explanation:

Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x -axis. The range is the set of possible output values, which are shown on the y -axis.

Use the picture attached. Sorry for not answering the exact question!

Can I get brainliest?

Answer:

A) x = 15

Step-by-step explanation:

4x - 30 = 2x

subtract 2x from each side of the equation:

2x - 30 = 0

add 30 to each side:

2x = 30

x = 15

Answer:

[tex] \displaystyle A) {15}^{ \circ} [/tex]

Step-by-step explanation:

remember that,

when a transversal crosses two parallel lines then the Alternate interior angles are equal that is being said

[tex] \displaystyle 4x - 30 = 2x[/tex]

cancel 2x from both sides:

[tex] \displaystyle 2x - 30 = 0[/tex]

add 30° to both sides:

[tex] \displaystyle 2x = 30[/tex]

divide both sides by 2:

[tex] \displaystyle x =15[/tex]

hence

our answer is A)

Answer:

1. 40

2. 35.71

Step-by-step explanation:

using

pythagoras theorem

Answer:

Yes

Step-by-step explanation:

Ye yes yes =yes yes hes

Answer:

I think the answer is 30.

Answer:

I might be wrong but I think it's 180 millimeters.

Step-by-step explanation:

4cm times 5cm times 9cm = 180 millimeters

1. 4cm times 5cm = 0.002 m^2

2. 0.002 m^2 times 9cm = 180 millimeters

Hopes this helps. If not please tell me. I will try to improve.

Answer:

65.97

Step-by-step explanation:

Don't really know how to explain how to do this, but Omni Calculator is very helpful.

Hope that this helps!

Answer:I think it's trying to find the area of which is a 5 times 2 = 10

Step-by-step explanation:

Answer:

Well Ima need the question buddy

Step-by-step explanation:

After all shrek can’t answer a question without a question.

Answer:

50 is the sum

Step-by-step explanation:

-10+20=10

10+-40=-30

-30+80=50

6x+30=180

6×=180-30

×=150/6

×=25

6x=6×25=130

Answer:

245 is the best answer. I am right ta boy

Answer: 245

Step-by-step explanation:

60 + 120 + 65 = 245

Answer:

D

Step-by-step explanation:

Answer:

your answer will be J. Y=-8

Step-by-step explanation:

Y=mx+b (6, -8)

(-8)= 0(6) +b

(-8)= 0+b

(-8)= b

Y=0(6)-8

y=-8

201.06cm²  

Hope this helps.

Answer:

the number of orange sodas be 60

Step-by-step explanation:

Let us assume the orange ones be x

And, the cola ones be y

Now according to the question

x + y = 100

y = 100 - x.........(1)

35x + 38y = $3,620........(2)

Now put the value of equation 1 in equation 2

So,

35x + 38(100- x) = 3620

35x + 3800 - 38x = 3620

-3x = -180

x = 60

Hence, the number of orange sodas be 60

EBK THE ANSWER IS Y O U R M O M I S G A Y

Answer:

Perimeter = (16z - 2)

Step-by-step explanation:

Perimeter of a polygon = sum of the lengths of all sides of the polygon

Sum of all sides of the trapezoid = (z + 5) + (8z - 10) + (4z + 9) + (3z - 6)

By adding like terms,

Perimeter of the trapezoid = ( z + 8z + 4z + 3z) + (5 - 10 + 9 - 6)

                                            = 16z - 2

Therefore, expression representing the perimeter of the trapezoid will be,

(16z - 2)

Answer:

349 butterflies

Step-by-step explanation:

The formula for Exponential Decay =

y = a(1 - r)^t

Where y = Size of population after time t = ?

a = Initial size of population = 500

r = Decay rate = 5%

t = Time = 7 years

Hence,

y = 500(1 - 0.05)⁷

y = 500(0.95)⁷

y = 349.16864805 butterflies.

Approximately = 349 butterflies

Answer:

your answer is 3x2+10x−7

Step-by-step explanation:

Answer:

|x-15|=0

Step-by-step explanation:

Obviously.

Answer:

|x-15|=0

Step-by-step explanation:

Answer:

66 cm³

Step-by-step explanation:

From the diagram,

Volume of the prism(v) = Area of the base (A)×Height(h)

v = A×h............... Equation 1

But,

A = bh/2.................... Equation 2

Where b = base of the triangle, h = height of the triangular base.

Substitute equation 2 into equation 1

v = (bh/2)H.................... Equation 3

Also for the diagram,

Given; b = 3 cm, h = 4 cm, H = 11 cm

Substitute these values into equation 3

v = (3×4×11)/2

v = 132/2

v = 66 cm³

Answer: 300

Step-by-step explanation: Math - 35X10-50

I may be wrong sorry!

Replace x with 10 in the given function.

We are seeking f(10).

f(10) = 35(10) - 50

f(10) = 350 - 50

f(10) = 300

After 10 hours, Bill's profit is $300.

Answer:

7: 28x+4 6:20x+2

Answer:

1/32

Step-by-step explanation:

You plug 7 for n and solve in calculator.

Answer:

1/128*4= 0.03125

Step-by-step explanation:

We can simplify the formulas to get 1/2^n *4. Substitute 7 for n and you get your answer.