In 2000, 36 children attended a summer day camp. Attendance has increased by 12% per year since then. How many campers attended summer day camp in 2006?

The value of the angles should be. (x-40°). , (x-20°), (½x-10°) , not (x-40°) + (x-20°)+(½x-10°)

Sum of all the interior angles of a triangle is 180°.

So a equation can be made by the given data,

(x-40°) + (x-20°) + (½ x-10°) = 180°

x-40°+x-20°+½x-10° = 180°

2x+½x -60°-10° = 180°

5/2 x - 70° = 180°

5/2 x = 180° + 70°

5/2 x = 250°

x = 250° × 2/5

x = 50° × 2

x = 100°

So the angles are

x-40° = 100°-40° = 60°

x-20° = 100°–20° = 80°

½x-10° = ½(100)° - 10° = 50° -10° = 40°

The answer can be checked by putting the values of the angle we got in the second statement i.e. Sum of all the interior angles of a triangle is 180°.

60° + 80° + 40° = 100° + 80° = 180°

Answer:

c

Step-by-step explanation:

Answer:

B and D are correct.

Step-by-step explanation:

First, we find the length of ALL the sides using the Pythagorean Theorem.

16² + b² = 20²

256 + b² = 400

b² = 144

[tex]\sqrt{144}[/tex] = 12

Now, we know that sine is opp/hyp, cosine is adj/hyp, and tangent is opp/adj.

A is incorrect because that's supposed to be cos. B is correct because that is indeed cos. C is incorrect. D is correct. E and F are incorrect because it's supposed to be sin.

Don't know if any of that made sense. All you need to do is remember the difference between sine, cosine, and tangent.

Answer:

The answer is B and D.

Step-by-step explanation:

Length of ladder AC = 20 feet

Height of the highest point of the ladder from ground AB = 16 ft

By Pythagoras theorem,

AC² = BC² + AB²

BC² = AC² - AB²

BC = √(20)^2-(16)^2

     = √400-256

     = √144

     = 12

Now, Sinθ = opposite side/hypotenuse = AB/AC

                 = 16/20

Cosθ = adjacent side/hypotenuse = BC/AC

         = 12/20

Therefore, A and D are the correct options.

You're very welcome! ;)

Answer:

Skill.

This is a fairly simple analogy.

Answer:

16(x + 3)

4(7x + 8y)

w(11 + h)

Step-by-step explanation:

16x + 48

The greatest common factor of 16 and 48 = 16

Hence, expressing 16x + 48 in factored form:

16x + 48 = 16(x + 3)

28x + 32y

Greatest common factor of 28 and 32 = 4

Hence,

28x + 32y = 4(7x + 8y)

11w + hw

11w + hw = w(11 + h)

Answer:

The correct answer is C

Perpendicular lines have opposite reciprocal slope.

So,  if the slope of the line  is -3, then the slope of the perpendicular line is 1/3.

Let me know if this helps!

Answer:

45.84

Step-by-step explanation:

hope that helps

The area of the circle is equal to 144π square inches.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that the circumference of a circle is 24π in. The area of the circle is calculated by the formula given below,

Area of circle = πr²

Circumference of the circle = 24π

2πr = 24π

r = 12

The area of the circle will be calculated as:-

Area = πr²

Area = π x ( 12 )²

Area = 144π square inches.

Hence, the area is 144π square inches.

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7 / 4/5 = 8.75 or 8 3/4

3 1/2 / 3/4 = 4 2/3

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hope it helps

Answer:

the y intercept is 2 1/3 and the x intercept is 392/500

Step-by-step explanation:

i just used desmos it helps

Answer:

Step-by-step explanation:

Equate to zero

Answer:

38

Step-by-step explanation:

reducing by half of 44, half of 22, half of 11

Answer:

.5 or 50%

Step-by-step explanation:

A die has six sides, have of them are odd and half are even. Therefore the probability of getting an even number is 50% or 0.5.

Answer and Step-by-step explanation:

Use Pythagorean  Theorem for 6 and 9.

6.

[tex]8^{2} + w^{2} = 14^{2} \\\\\\w^{2} = 132\\\\\\2\sqrt{33} = w = 11.49[/tex]

7. Use Cosine, and then Tangent.

[tex]cos(30) = \frac{15}{y} \\\\y = \frac{15}{cos(30)\\\\}\\\\y = 10\sqrt{3}, or 17.32[/tex]

[tex]tan(30) = \frac{x}{15} \\\\15tan(30) = x\\\\5\sqrt{3} = x = 8.66[/tex]

8. Use Sine.

[tex]sin(theta) = \frac{23}{42} \\\\theta = sin^{-1} (\frac{23}{42} )\\\\theta = 33.2[/tex]

9.

y = 7

[tex]7^{2} +7^{2} = x^{2} \\\\98 = x^{2} \\\\7\sqrt{2} = x = 9.9[/tex]

#teamtrees #PAW (Plant And Water)

Answer: 73 weeks

Step-by-step explanation:

Equations

657-4w=876-7w

Solve for w

w=73

Answer:

A. 60°

Step-by-step explanation:

∠BEC = 1/2 arc BC = 32°

∠CED = ∠BED - ∠BEC = 62° - 32° = 30°

arc CD = 2 x ∠CED = 2 x 30° = 60°

The measure of the arc CD of the circle is 60°

Given data:

The central angle is an angle with two arms and a vertex in the middle of a circle.

The central angle of a circle formula is as follows.

Central Angle = ( s x 360° ) / 2πr

And, Central Angle = 2 x Angle in other segment

So,

∠BEC = 1/2 arc BC = 32°

The measure of the angle ∠CED  is determined as:

∠CED = ∠BED - ∠BEC = 62° - 32° = 30°

So, the measure of the arc from the central angle is:

arc CD = 2 x ∠CED = 2 x 30° = 60°

Hence , the measure of arc CD = 60°

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Answer:

A

Step-by-step explanation:

u just collect together like terms and add them together

Answer:

(2,2) Is the correct answer. <3

Step-by-step explanation: Answer is a hope this helps

4: B

5: D

Step-by-step explanation:

Answer:  A. The mean absolute deviation is 4

Step-by-step explanation:

Mean absolute deviation (MAD) is found by finding the absolute value of difference between each number in set and mean, adding them together, then dividing by total numbers in set.

Differences

72-62= 10

72-73= 1

72-74= 2

72-75= -3

72-76= -4

add the absolute values...

10+1+2+3+4=20

divide by 5 because that is how many numbers in set...

20/5=4

Answer:

13. [tex]C=6\pi[/tex]

14. [tex]C=9\pi[/tex]

15. [tex]C=7\pi[/tex]

Step-by-step explanation:

To find the circumference of a circle, the formula is [tex]C=2\pi r[/tex], with "C" being the circumference and "r" being the radius.

In question 13, the radius (r) is shown as 3ft. When you put this into the equation, it should look like this:

[tex]C=2\pi (3)[/tex]

Simplify.

[tex]C=6\pi[/tex]

Follow the same steps in questions 14 and 15. In 14, 9 is the diameter, which makes the radius 4.5.

The final answers are shown above.

Have a good day!

Answer: A. 5x+x+18 = 180

Step-by-step explanation:

For B you need to find the value of x first.

5x + x + 18 = 180 is your equation.

Combine like terms: 5x+x = 6x

Equation should now look like this

6x + 18 = 180

Subtract 18 to both sides 180-18 = 162

Do 162/6 = 27

X = 27

WE ARE NOT DONE!!!!!

1. 5(27) = 135

2. 27+18 = 45

Angle 1 = 135

Angle 2 = 45

Answer:

x = - 4

Step-by-step explanation:

y = -x - 6

2x - 3y = -2

Insert the first equation y = -x-6 into the second 2x - 3y = -2 .

2x - 3 (-x-6) = -2

2x +3x + 18 = -2

5x = -2 - 18

5x = - 20

x = - 20/5

x = - 4

Answer:

12:00 PM

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

15 x 3 is 45

Answer:

45 minutes

Step-by-step explanation:

We will use ratios for this question:

[tex]\frac{15}{2} =\frac{x}{6} \\\\2x=90\\x=45[/tex]

Answer:

A

Step-by-step explanation:

60÷4 = 15

5×15=75, that's how many boys

Answer: 76.5in or 6.37ft

Step-by-step explanation:

You would convert the 4 feet into inches which would be 48in. You would add the 9in and the 19.5in and come up with 76.5in. Then you just convert the 76.5in to 6.375ft

Answer:

6m * 4m * 2m

Step-by-step explanation:

Given that :

Cubic volume = 48 m³

Possible dimension if none of the dimensions is 1 m

Volumetric Dimension = (length * width * height)

The product of the three dimensions must give 48m³

Constraint : none of the dimensions has a volume of 1 m.

Hence, possible dimension :

6m * 4m * 2m = 48m²

Hence, one possible dimension is :

6m * 4m * 2m

Work Shown:

Focus on the angles at the bottom right

Those two angles add to 180 since they form a straight line. We consider them supplementary angles.

x+(4x-20) = 180

5x-20 = 180

5x = 180+20

5x = 200

x = 200/5

x = 40