Find the area of half a circle with a radius of 8cm

Answer:

Eliminating

Step-by-step explanation:

The given equations are ,

Here I would prefer to use Elimination Method. Since there is negative y and positive y in the equations . So we can eliminate y easily and then we can find x. Also , let's solve ,

On addition :-

→ 2x = -16

→ x = -16/2

→ x = -8

Answer:

x =14

<A =  7x -11 =  87

<B = 2x-3 =  25

<C = 5x -2 = 68

Step-by-step explanation:

The sum of the angles add to 180

7x -11 + 2x-3 + 5x-2 = 180

Combine like terms

7x +2x+5x -11-3-2 =180

14x-16=180

Add 16 to each side

14x-16+16 =180+16

14x = 196

Divide each side by 14

14x/14 =196/14

x =14

<A =  7x -11 = 7*14 -11 = 98-11 = 87

<B = 2x-3 = 2*14 -3 = 28-3 = 25

<C = 5x -2 = 5*14 -2 = 70-2 = 68

Answer:

16

Step-by-step explanation:

-2^4=16

9514 1404 393

Answer:

  (x -4)(x +1)

Step-by-step explanation:

  [tex]\dfrac{x^2-16}{x^2+5x+4}=\dfrac{(x+4)(x-4)}{(x+4)(x+1)}=\boxed{\dfrac{x-4}{x+1}}\qquad x\ne-4[/tex]

The simplified form comes with a domain restriction corresponding to the hole in the function where the original denominator is zero.

Answer:

-938 ft

Step-by-step explanation:

the bird will be going down in elevation. the distance between -422 and -1360

-1360+422= -938

9514 1404 393

Answer:

  A, B

Step-by-step explanation:

The equation is equivalent to ...

  cos(x -π/7) = -(√2)/2

  x -π/7 = arccos(-(√2)/2) = {3π/4, 5π/4} . . . . . cosine is negative in QII and QIII

  x = {3π/4 +π/7, 5π/4 +π/7} +2nπ . . . . . matches A and B

Answer:

B, C, F

Step-by-step explanation:

It's asking 5 x (what?) is less than 5.

It has to be less than one to be a correct answer then.

Answer:

VEFG4KLKB

Step-by-step explanation:

BLB

The length of the guy wire is approximately 74.7 feet, and the height of the antenna is approximately 72.2 feet.

Here, we have,

To find the length of the guy wire and the height of the antenna, we can use trigonometry and the concept of right triangles.

In this scenario, the guy wire represents the hypotenuse of a right triangle, and the height of the antenna represents one of the legs of the triangle.

The angle of elevation formed by the guy wire is given as 79 degrees.

Let's denote the length of the guy wire as h and the height of the antenna as a.

Using the trigonometric function sine (sin), we can relate the angle of elevation and the sides of the triangle:

sin(angle) = opposite/hypotenuse.

In this case, the opposite side is the height of the antenna (a), and the hypotenuse is the length of the guy wire (h).

sin(79°) = a/h.

To solve for h, we can rearrange the equation as:

h = a / sin(79°).

We also have another relationship between the sides of the triangle.

The base of the right triangle is given as 15 feet, and the height of the antenna is a.

Therefore, using the Pythagorean theorem, we have:

h² = a² + 15².

Now we can substitute the expression for h from the first equation into the second equation:

(a / sin(79°))² = a² + 15².

Expanding and simplifying, we get:

a² / sin²(79°) = a² + 225.

Multiplying both sides of the equation by sin²(79°), we have:

a² = sin²(79°) * (a² + 225).

Expanding again, we get:

a² = sin²(79°) * a² + 225 * sin²(79°).

Rearranging the equation, we have:

a² - sin²(79°) * a² = 225 * sin²(79°).

Factoring out a², we get:

(1 - sin²(79°)) * a² = 225 * sin²(79°).

Using the trigonometric identity sin²(θ) + cos²(θ) = 1,

we know that cos²(θ) = 1 - sin²(θ).

Therefore:

cos²(79°) * a² = 225 * sin²(79°).

Taking the square root of both sides, we have:

cos(79°) * a = 15 * sin(79°).

Simplifying, we get:

a = (15 * sin(79°)) / cos(79°).

Using a calculator or software, we find:

a ≈ 72.2 feet (rounded to one decimal place).

Now, to find the length of the guy wire (h), we can substitute the value of a into the first equation:

h = a / sin(79°).

Using a calculator or software, we find:

h ≈ 74.7 feet (rounded to one decimal place).

Therefore, the length of the guy wire is approximately 74.7 feet, and the height of the antenna is approximately 72.2 feet.

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Answer:

2 radical 5

Step-by-step explanation:

i am smart

Answer:

[tex]\sqrt{20} =2\sqrt{5}[/tex]

Step-by-step explanation:

Given:

[tex]\sqrt{20}[/tex]

Step 1: Factor out the biggest square number:

[tex]\sqrt{4}\sqrt{5}[/tex]

Step 2: Simplify:

[tex]2\sqrt{5}[/tex]

Therefore, [tex]\sqrt{20} =2\sqrt{5}[/tex]

Answer:

x=  

32

7+  

3121

​  

​  

,  

32

7−  

3121

​  

​  

Step-by-step explanation:

h+16^2-8x-48=0

-7x+16x^2-48=0

x=  

32

7+  

3121

​  

​  

,  

32

7−  

3121

​  

​  

Answer:

D. 96 inches.

Step-by-step explanation:

Radius of cylinder = 1/2 * 24 = 12 inches.

Radius of the cone = 1/2 * 12 = 6 inches.

Volume of the cylinder = pi r^2 h and volume of the cone = 1/3 pi r^2 h

So pi 12^2 * 8 = 1/3 pi * 6^2 * h

1152 pi = 12 pi h

h = 1152/12

h = 96 inches.

Answer:

NYS Math Module 3 Grade 4 Lesson 32 Concept Development

Problem 1

We all know there are 7 days in a week. How many weeks are in 259 days?

Problem 2

Everyone is given the same number of colored pencils in art class. If there are 249 colored pencils and 8 students, how many pencils does each student receive?

Problem 3

Mr. Hughes has 155 meters of volleyball netting. How many nets can he make if each court requires 9 meters of netting?

Step-by-step explanation:

Answer:

6 bags

Step-by-step explanation:

228 ounces = 18 pounds

18 pounds ÷ 3 pounds

6 bags

-------------------------------------------------------------------------------------------------------------

We all know there are 7 days in a week. How many weeks are in 259 days?

37 weeks

[tex]\frac{1}{7} :\frac{y}{259}[/tex]

y · 7 = 1 · 259

7y = 259

7y ÷ 7 = 259 ÷ 7

y = 37

Everyone is given the same number of colored pencils in art class. If there are 249 colored pencils and 8 students, how many pencils does each student receive?

31 color pencils each and 1 extra pencil

249 ÷ 8 =

31.125 colored pencils each

This rounds to 31 color pencils and 1 extra pencil.

Mr. Hughes has 155 meters of volleyball netting. How many nets can he make if each court requires 9 meters of netting?

7 courts and he will be left with 2 meters of netting

155 ÷ 9

17 and 2/9 volleyball courts

17 courts and he is left with 2 meters of netting.

Answer:

(155.301 ; 159.299)

Step-by-step explanation:

Xbar = 157.3

Sample size, n = 234

Population standard deviation, σ = 15.6

The confidence interval :

Xbar ± standard Error

Standard Error = Zcritical * σ/√n

Zcritical at 95% = 1.96

Standard Error = 1.96 * (15.6/√234) = 1.999

Lower boundary : 157.3 - 1.999 = 155.301

Upper boundary : 157.3 + 1.999 = 159.299

(155.301 ; 159.299)

Answer:

the expression b/c=b/c is an example of a/an

The dimensions of the dollhouse bed are 3.6 inches × 6 inches. By dividing 10 by each dimension, the dollhouse bed's dimensions may be found.

Dilation is the process of increasing the size of an item without affecting its form. Depending on the scale factor, the object's size can be raised or lowered.

The dimension of real bad;

a = 36 inches

L = 60 inches

Down scale factor = 1/10

The dimensions of the dollhouse bed are obtained by dividing 10 in each dimension;

a'=36/10

a'=3.6 inches

L'=60/10

L'=6 inches

Hence the dimensions of the dollhouse bed are 3.6 inches × 6 inches.

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Answer:

f = 19.0

Step-by-step explanation:

By applying sine rule in the triangle given in the figure,

By applying triangle sum theorem,

m∠F + m∠G + m∠H = 180°

110° + m∠G + 40° = 180°

m∠G + 150° = 180°

m∠G = 30°

[tex]\frac{sin(\angle F)}{GH}= \frac{sin(\angle G)}{HF}=\frac{sin(\angle H)}{FG}[/tex]

[tex]\frac{sin(\angle 110^0)}{f}= \frac{sin(\angle 30^0)}{g}=\frac{sin(\angle 40^0)}{13}[/tex]

[tex]\frac{sin(\angle 110^0)}{f}= \frac{sin(\angle 40^0)}{13}[/tex]

[tex]\frac{0.9397}{f}= \frac{0.6428}{13}[/tex]

f = [tex]\frac{13\times 0.9397}{0.6428}[/tex]

f = 19.0

Answer:

7.5in

Step-by-step explanation:

Answer: Pretty sure the answer is 3.

Step-by-step explanation:

[tex]\frac{2(4+7)-7}{5}[/tex]

[tex]\frac{2(11)-7}{5}[/tex]

[tex]\frac{22-7}{5}[/tex]

[tex]\frac{15}{5}[/tex]

Answer:

18.333333 hours

Step-by-step explanation:

1099.99998 mintunes

Answer:

(1,1) is the answer

Explanation:

Both lines cross at (1,1)

Answer

13 1/2 pounds

Step-by-step explanation:

welcome ;)

Answer:

the cat now weighs 13 3/8 LBS

Step-by-step explanation:

convert the fractions so you can add them together,  

mult 3/4 by two to get common denominators

6/8 + 5/8

the cat gained 11/8 pounds. (1 3/8)

since the numerator is larger we add the mixed number to the 12 pounds.

13 3/8 pounds.

Answer:

43 3/4 cups of cheese

8 3/4 cups of olives

26 1/4 cups of sausage

Step-by-step explanation:

Answer:

43 3/4 cup of cheese

26 3/4 cups of olives

Answer: i think it would be 20

Step-by-step explanation:

if you do the problem it should show you

Answer: 54.4

Step-by-step explanation:

Answer:

67, 600

Step-by-step explanation:

There are 26 alphabet and 10 digits then the number of the possible ID codes will be 67600.

A permutation is an act of arranging the objects or elements in order. Combinations are the way of selecting objects or elements from a group of objects or collections, in such a way the order of the objects does not matter.

A company is making aid badges with personal ID codes on them for each employee.

The ID code will consist of two letters followed by 2 digits.

Then the number of ways ID codes are there will be

[tex]\rightarrow 26 \times 26\times 10\times 10\\\\\rightarrow 67600[/tex]

More about the permutation and the combination link is given below.

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