Theo rolls a dice 306 times.

Work out an estimate for the number of times Theo rolls an even number

Answer:

Length of the segment of a secant 'x' is 4 cm.

Step-by-step explanation:

If a secant and a tangent are drawn from a point outside the circle, then the product of the segments of the secant is equal to the square of the length of the tangent.

By this property,

[tex]4\times x = 8^2[/tex]

[tex]4x = 64[/tex]

[tex]x=\sqrt{16}[/tex]

[tex]x=4[/tex] cm

Therefore, length of the segment of a secant 'x' is 4 cm.

Answer:5/8 fraction of the deposit has been spent, which is 20 liters

Let "a" be the initial amount of water, then first half the water is used: then a / 2 of water is used and the other half is left at / 2 * (1/4), then the fourth part is used: then 1/8 * a is used, so now it remains: a / 2 - a / 8 = 3/8 * a, so 5/8 * a has been used, then what remains are 12 liters:

3/8 * a = 12 L

a = 12 L * 8/3 = 32 L

Wasted: 32 L - 12 L = 20 L

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Answer:

C. 4 cm

Step-by-step explanation:

"Essentially, the diameter is twice the radius, as the largest distance between two points on a circle has to be a line segment through the center of a circle."

So, divide 8 by 2

⇒8/2

⇒ 4

==================================================================

Hope I Helped, Feel free to ask any questions to clarify :)

Have a great day!

More Love, More Peace, Less Hate.

Stay strong!

Love,

    -Aadi x

Answer: 628

Step-by-step explanation:

2πr^2+2πrh

2(3.14)(5)^2+2(3.14)(5)(15)

2(3.14)(25)+2(3.14)(75)

2(78.5)+2(235.5)

157+471

628

Answer:

(x + 5)² = 2 ==> x² + 10x + 27 = 0

Completing the square of the given quadratic equation leads to the equivalent equation (x + 5)² = -2.

Quadratic equations are polynomial equations of second degree.

The general form of a quadratic equation is ax² + b x + c = 0.

Given quadratic equation is,

x² + 10x + 27 = 0

We have the algebraic identity that,

(a + b)² = a² + 2ab + b²

The given quadratic equation is in the form of a² + 2ab + b², where a = x.

So, 2xb = 10x

⇒ b = 5

Now, b² = 25.

So, the given can be written as,

(x² + 10x + 25) + 2 = 0

(x + 5)² = -2

Hence the equivalent form is (x + 5)² = -2.

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Answer:

A) -p + 38

B) k + 1

C) a_n = 4n + 1

D) a_n = 7n - 6

E) a_n = 14 - 4n

Step-by-step explanation:

A) 5(p + 6) - 2(3p + 4)

Multiply out the bracket to get;

5p + 30 - 6p + 8

>> -p + 38

B) 7(k - 2) - 3(2k - 5)

Multiply out the bracket to get;

>> 7k - 14 - 6k + 15

>> k + 1

C) Sequence is;

5, 9, 13, 17, 21

This is clearly an AP(arithmetic progression) because the difference between each term is 4.

Formula for nth term of an AP is;

a + (n - 1)d

Where d is difference and a is first term

Thus;

a_n = 5 + (n - 1)4

a_n = 5 + 4n - 4

a_n = 4n + 1

D) Sequence is 1, 8, 15, 22, 29.

This is also an AP.

Difference is 7.

Thus,nth term is;

a_n = 1 + (n - 1)7

a_n = 1 + 7n - 7

a_n = 7n - 6

E) 10, 6, 2, -2, -6

This is also an AP.

Difference is -4

Thus,

a_n = 10 + (n - 1)(-4)

a_n = 10 - 4n + 4

a_n = 14 - 4n

Answer:-23+57=34  and 57 + -23 =34

                                                                                                       |    

Step-by-step explanation: −60−50−40−30−20−10 0 10 20 30 40 50 60 70 80

regardless of the way you put it the positive is bigger so that means the you subtract 57 - 23 each time .

Hi there!

[tex]\large\boxed{h = \frac{15x}{y}}[/tex]

Recall the volume of a pyramid is:

V = 1/3(bh)

We are given the volume and side length of the base. Find the area of the base:

A = s²

A = (5xy²)² = 25x²y⁴

Plug in the solved for base:

125x³y³ = 1/3(25x²y⁴)h

To isolate for h, begin by multiplying both sides by 3:

375x³y³ = (25x²y⁴)h

Divide both sides by 25x²y⁴. Use the following exponent property:

xᵃ / xᵇ = xᵃ⁻ᵇ

Thus:

375x³y³ / 25x²4⁴ = 15x/y.

The height must be equal to:

[tex]h = \frac{15x}{y}[/tex]

Answer:

21−8−(−5)(7)−54

=−6

Step-by-step explanation:

21−8−(−5)(7)−54

=13−(−5)(7)−54

=13−(−35)−54

=48−54

=−6

Answer:

D, π

Step-by-step explanation:

It is because you cannot write π in the form of a/b

Complete question :

The tower is 10.00 m tall, and the angle of depression from the top of the tower to the point on the ground is 22°How far is the point from the base of the tower.

Answer:

4.04 meters

Step-by-step explanation:

To obtain the distance between baso of tower and point P on the ground as shown in the solution diagram :

Using trigonometry :

Tan θ = Opposite / Adjacent

Tan 22° = x / 10

0.4040262 = x / 10

0.4040262 * 10 = x

x = 4.04

Hence, distance between base of tower and point P on the ground is 4.04 meters

Answer:

I think a because i'm doing this stuff in math too

Step-by-step explanation:

I dont know the explanation

Answer:

The Decimal form is: 1.52083 (and the 3 keeps going and going)

Is mixed number it is: 1 25/48.

Answer:

101.91

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

f(x) =x(x-9)

X(x-9)=0

X2-9x=0

X2-9x+0=0

(X2-9X)

x(x-9)=0

X-9=0

X=9

X+0=0

X=0

Answer:

The value of j is 506

Step-by-step explanation:

j - 263 = 243

j = 243 + 263

j = 506

Thus, The value of j is 506

-TheUnknownScientist

Answer:

b........... ........

Answer:

B.125

Step-by-step explanation:

25:30->?:150

150/30=5

25:30x5=125:150

Answer:

B. 12/13

Step-by-step explanation:

Hypotenuse= [tex]\sqrt{(5)^{2}+12^{2} } \\[/tex]

hypotenuse=13

opposite= 5

adjacent= 12

Cosine= adjacent/hypotenuse

cosine= 12/13

Answer:

Lateral Surface Area = 94.25 cm²

Surface area = 150.8 cm²

Step-by-step explanation:

A cylinder has a height of 5 cm. What is the lateral and surface area of cylinder, if the circumference of one circle is 18.84 cm?

Step 1

We have to find the radius of the cylinder

We are told in the question that:

The circumference of one circle is 18.84 cm

Circumference of a circle = 2πr

18.84cm = 2πr

r = 18.84/2π

r = 2.9984791279cm

Approximately the radius = 3cm

Step 2

We find the Lateral Surface Area of the Cylinder

The formula =2πrh

r = 3cm

h = 5cm

=2×π × 3 × 5

= 94.24778 cm²

Approximately = 94.25 cm²

Step 3

We find the Surface Area of the Cylinder

The formula =2πr(r + h)

r = 3cm

h = 5cm

=2×π × 3 × 5(3 + 5)

= 150.79645 cm²

Approximately = 150.80 cm²

Answer:

The third one

Steps:

hope this helps :b

By adding the lengths of the two pieces of wood (10.23 cm and 17.65 cm), they would be 27.88 cm long when attached.

Addition is the process of adding two or more numbers together. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum.

Given that,

The length of your wood = 10.23

The length of your friend's wood = 17.65

Denote the length of your piece of wood as "x" and the length of your friend's piece as "y".

In this case,

x = 10.23 cm

y = 17.65 cm.

To find the total length when they are attached,

Add the lengths as

x + y = 10.23 cm + 17.65 cm

Now, calculate the sum:

x + y = 27.88 cm

Hence,

If you attach the two pieces of wood, the total length would be 27.88 cm.

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Answer:

=14x+21m

Step-by-step explanation:

7*(2x+3)

use distributive property:

14x+21

cant go any further ‘cause we don’t have an x value or = sign at the end

Answer:

b, d, and e are the three statements that make the most sense to be true.

Step-by-step explanation:

tell me if this is wrong.

Answer:

SA = (3 x 12) + (3 x 4) = 36 + 12 = 48 cm²

Step-by-step explanation:

9 + 12 + 2(⁷/2) + 15 = 9 + 12 + 7 + 15 = 43 ===> surface area.

Hope to helpfull

Answer:

40

Step-by-step explanation:

5 × 8 = 40

1 × 40 = 40

2 × 20 = 40