Chris is building a circular pool in his backyard for the
summer. The pool will have a circumference of 62.84 feet.
What will be the approximate diameter of the pool?

Answer:

6

Step-by-step explanation:

Answer:

This probability is 5/7

Step-by-step explanation:

Rewriting this problem may make it appear to be more manageable.  

The probability that the number is a solution of 3x-4 < 1 simplies to "x < 5".  

This probability is 5/7, since {0, 1, 2, 3, 4} are all less than 5.

Answer:

7

Step-by-step explanation:

So basically, there are 4 segments: 15-30, 30-45, 45-60, 60-75.

There is also a list of values.

If these values fall between 15-30, for example, it is considered a freqeuncy of 1.

If a second value also falls between 15-30, it is considered to then have a frequency of 2.

Every value that falls under a range of values, such as 15-30, is counted as a freqeuncy of 1.

So, lets look at 15-30.

There is a freqeuncy of 3.

This means that 3 values were in between 15 and 30,

Now, we need to know how many values were above  30.

This means we do not count values that are in the 15-30 segment.

However, we do want to look at the freqeuncy in 30-45, 45-60, and 60-75.

In 30-45 we have a frequency of 3.

In 45-60 we have a frequency of 2.

In 60-75 we have a frequency of 2.

To find the amount of values above 30, we must add these all together:

3+2+2

=

7

So 7 values have a price above 30!

Hope this helps!

Answer:

[tex]\displaystyle \sin2\theta=\frac{60}{61}[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \tan\theta=\frac{6}{5}\text{ and } \cos\theta <0[/tex]

And we want to find the value of sin(2θ).

First, recall that tangent is the ratio of the opposite side to the adjacent side.

Therefore, the hypotenuse is:

[tex]h=\sqrt{6^2+5^2}=\sqrt{61}[/tex]

Next, note that tangent is positive and cosine is negative. Tangent is positive in QI and QIII. Cosine is negative in QII and QIII.

Hence, we can conclude that θ must be in QIII.

In QIII, sine is negative, cosine is negative, and tangent is positive.

And with respect to θ, our opposite side is 6, adjacent side is 5, and the hypotenuse is √(61).

We can rewrite our expression as:

[tex]\sin2\theta=2\sin\theta\cos\theta[/tex]

Using the above information, substitute:

[tex]\displaystyle =2\left(-\frac{6}{\sqrt{61}}\right)\left(-\frac{5}{\sqrt{61}}\right)[/tex]

Simplify. Hence:

[tex]\displaystyle \sin2\theta=\frac{60}{61}[/tex]

Answer:

1, 2, 3

Step-by-step explanation:

X <= 20 means that x has to be less than OR equal to 20.

The first option is -100. That's less than 20, so this statement is true.

The second option is 10. That's also less than 20, so this statement is also true.

The third option is 20. This is equal to 20, so this is also true.

The fourth option is 21, which is greater than 20, so it's not true.

The fifth option is 45, which is greater than 20, so it's not true.

Sorry I answered so late, hope this helps even though you probably don't need it anymore.

Answer:

I assume AC = 49.89 since the number is cut off

Step-by-step explanation:

tangent(degree) = opposite / adjacent

To find AC, you can set up tan(29) = AC / CB

tan(29) = AC / 90 (the picture is cutted off, so I assume....)

[tex]90*tan(29)[/tex] = AC

Answer:

Step-by-step explanation:

If this is right triangle, then 2 things are fact: that the side length 25 is the length of the hypotenuse since the hypotenuse is always the longest side in a right triangle, and that Pythagorean's Theorem applies. Let's check that:

[tex]7^2+24^2=25^2[/tex] If this is a true statement, then these sides do indicate a right triangle.

49 + 576 = 625 and

625 = 625 so yes, this is right triangle by the Converse of Pythagorean's Theorem

Answer:

Number of rack made from total wood = 5 rack

Step-by-step explanation:

Given:

Length of wood Zendaya has = 5/6 yard

Length of each rack = 1/6 yard

Find:

Number of rack made from total wood

Computation:

Number of rack made from total wood = Length of wood Zendaya has / Length of each rack

Number of rack made from total wood = [5/6] / [1/6]

Number of rack made from total wood = [5/6][6/1]

Number of rack made from total wood = 5 rack

Answer:

area of triangle = 4.5*6/2 = 13.5 sq.yd.

Step-by-step explanation:

The area of a right triangle is half of the product of the sides adjacent to the right angle.

Here the sides adjacent to the right angle are 6 yd and 4.5 yd.

Therefore the

area of triangle = 4.5*6/2 = 13.5 sq.yd.

Answer:

m<D = 26

Step-by-step explanation:

Exterior angles thm:

83 + 6x - 4 = 21x + 4

6x + 79 = 21x + 4

6x - 21x = 4 - 79

-15x = -75

x = 5

m<D:

6x - 4

6(5) - 4

30 - 4

26

Answer:

62 degrees

Step-by-step explanation:

Every triangle needs to have 180 degrees. Simply you have to add 60+58 which is 118 degrees. Then you subtract 180-118 which equals to 62 degrees.

Answer:

-2/3

Step-by-step explanation

Use the two points on the graph to calculate the slope. (2, -1) and (-4, 3)

The formula is (y2 - y1)/(x2 - x1) so (3 - (-1))/(-4 - 2) = 4/-6 = -2/3

Answer:

Reduction

Step-by-step explanation:

The resulting shape M'S'V' is smaller than the original shape MSV, so it is therefore classified as a reduction.

Answer:

x = 19°

Step-by-step explanation:

We know that ∠UTV and ∠RTS are vertical angles, therefore is the measure of ∠UTV = 85, then the measure of ∠RTS would also be 85, by the "Vertical angles are congruent theorem.

=> ∠UTV ≅ ∠RTS

=> ∠UTV = 85°

=> ∠RTS = 85°

Now that we know all three angles of within the triangle, we can say that the sum of all three angles within the triangle is 180, we can conclude;

∠R + ∠T + ∠S = 180°

(3x) + (85°) + (2x) = 180°

5x + 85° = 180°

5x = 180° - 85°

5x = 95

x = 95/5

x = 19°

Hence, there is you're answer! x = 19°

Hope this helps!

Answer:

(2 - 3i)(4+2i)

(2 x 4)(2 x 2i) (-3i x 4) (-3i x 2i)

8 x 4i x -12i -6i^2

6i^2 - 12i x 32

Step-by-step explanation:

Answer:

6i² - 8i + 8

Step-by-step explanation:

1. Expand Brackets: 8 + 4i - 12i - 6i²

2. Simplify equation: 8 - 8i - 6i²

3. Rearrange: 6i² - 8i + 8

Answer:

1. 3.4

2. 23.4

3. 8

4. 14.25

5. 9.6

6. 6

7. 25

8. 28.8

9. 1.35

I hope this is the right answer key

Step-by-step explanation:

Answer: 64

Step-by-step explanation: 4x4x4=64

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{4}^3[/tex]

[tex]\large\text{= 4}\times\text{4}\times\text{4}[/tex]

[tex]\large\text{= 16}\times\large\text{4}[/tex]

[tex]\boxed{\large\text{= \bf 64}}\large\checkmark[/tex]

[tex]\boxed{\boxed{\large\text{Answer: \huge \bf 64}}}\huge\checkmark[/tex]

[tex]\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

13 ug

Step-by-step explanation:

Victoria is designing an image to be projected onto a screen. Her design is shown

below.

Victoria's Design

What is the total area, in square centimeters,

of Victoria's design?

8 cm

4 cm

4 cm

4 cm

10 cm

14 cm

146 centimeters squared

188 centimeters squared

118 centimeters squared

Answer:

a) 3y + x

b) a ^ 2 -2b

c) t ^ 4 + m / 2

d) xy - x ^ 2-y ^ 2

Step-by-step explanation:

a) o triplo de um número y adicionado a um número x ______ 3y + x ________

b) a diferença entre o quadrado do número a e o dobro do número b ______ a ^ 2 -2b _____

c) quadruplicar o número t aumentado pela metade o número m _______ t ^ 4 + m / 2 _____

d) a diferença entre o produto do produto do número x e o número y e o quadrado do número

The____xy - x ^ 2-y ^ 2 _____

Answer:

Value of x = 7.5 unit

Length of side = 12.5 unit

Step-by-step explanation:

Given that both triangles are similar because all angles are equal;

So, the ratio of similar lines is in the same proportion.

[x + 5] / 5 = 10 / 4

4[x + 5] = 50

4x + 20 = 50

4x = 50 - 20

4x = 30

x = 30 / 4

x = 7.5

So,

Value of x = 7.5 unit

Length of side = x + 5

Length of side = 7.5 + 5

Length of side = 12.5 unit

Answer: $18.75

Step-by-step explanation: Each bag cost $3.75 individually.

Hi there!

[tex] \large{lim_{x \longrightarrow 3}( - 5 {x}^{2} - 2x + 4)}[/tex]

Simply substitute x = 3 in the expression.

[tex] \large{ - 5 {(3)}^{2} - 2(3) + 4} \\ \large{ - 5(9) - 6 + 4} \\ \large{ - 45 - 6 + 4} \\ \large{ - 47}[/tex]

Questions can be asked through comment.

Furthermore, limit is like substituting a value. Note that limit is about an approaching value. This is a basic limit.

Hope this helps, and Happy Learning! :)

Answer:

Step-by-step explanation:

You can find the area by cutting it across in the middle into a trapezoid and a rectangle.

The trapezoid will have:

height = 10-4 = 6ft

top = 9-6 = 3ft

bottom = 8ft

So its area = 1/2*(3+8)*6 = 33 ft^2

The rectangle will have:

length = 10ft

width = 6ft

So its area = 10*6 = 60 ft^2

Total area = 60+33 = 93 ft^2

Answer:

93 ft^2.

Step-by-step explanation:

Divide the figure into 3 shapes; a triangle (top), and two rectangles (one in the middle and one on the bottom).

First find the area of the rectangle;

10*6 = 60 save that for later;

The dimensions of the second rectangle are not given but you can solve for them.  

The width of the base of the second rectangle will be 10ft. - 4 ft. , this is because the base of the first rectangle is part of the base of the second rectangle with a length of 4 ft cut off.  

The height of the second rectangle is given by 9ft. - 6ft.

Multiply the width (base) and height;

6*3=18

The base of the triangle is the same as the second rectangle's.  Use that for the base.  The height is given by 8-(the height of the second rectangle). The height is 5 and the base is 6.

1/2(5*6) = 15

Add all of the values together;

15+18+60 = 93 ft^2

Answer:

The equation is a conditional.

y = 7.5

Step-by-step explanation:

y - 11 + 3y = 6y + 4

4y - 11 = 6y + 4

4y - 4y - 11 = 6y - 4y + 4

- 11 = 2y + 4

- 11 - 4 = 2y + 4 - 4

2y = - 15

2y ÷ 2 = - 15 ÷ 2

y = - 7.5