The diameter of a circle is 8 cm. Find its circumference in terms of \piπ.

Answer:

Lunar Eclipse

Step-by-step explanation:

Lunar eclipse is the phenomenon that occurs on the night of the full moon. During this phenomenon the Earth comes in between the Sun and the Moon. The Earth blocks the light of the Sun with which the Moon is visible to the people on the Earth. Lunar Eclipse is visible from the part of the Earth that is experiencing the night. The duration of the Lunar eclipse can be for two hours. The moon appears to be red because of the reflection of the Earth.

Answer:

y = 1

Step-by-step explanation:

3 + y = 4

y = 1

Answer:

Step-by-step explanation:

I think its y=1 but I'm not sure

Hope this helps

Have a good day

Pls tell me if I'm wrong

Answer:

the answer is C.

Step-by-step explanation:

Carry a book bag: Female is 57

Answer:

y = -2/3x - 5

Step-by-step explanation:

Answer:

[tex]\frac{14}{30} = 7/15[/tex]

The probability that a randomly selected student has a brother given they have a sister is 11/30.

We have given that,

Of 30 students in a class, 17 have a brother, 20 have a sister, and 11 have a brother and a sister.

The Probability of an event is the ratio of the number of favorable events divided by the total number of outcome in the sample space.

Since there are 30 students in total, and 11 of them have both a brother and a sister,

Then 11/30 (11 out of the 30 students) would be the probability of a student having a brother given that they have a sister.

To learn more about the probability visit:

https://brainly.com/question/24756209

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Answer:

2x + 2y = -2

Step-by-step explanation:

you can divide a 2 from all three terms in 2x + 2y = -2 to get x + y = -1 which overlaps the original equation to provide an infinite number of solutions

Answer: 2/5, if it cannot be a decimal it is a fraction, same goes for 3/4!!

Step-by-step explanation:

Answer:

x + 2y = -8 = y = -4 - 1/2x

y= -1/2x + 4 =  y = 4

y= -1/2x - 4 = y = -4

y=-2x - 4 = y = -4

y=1/2x-4 = y = -4

Step-by-step explanation:

(x + 2y = -8 = y = -4 - 1/2x)

[tex]x+2y=-8\\2y=-8-x\\y=-4-\frac{1}{2}x\\[/tex]

Answer:

d

Step-by-step explanation:

Answer:

f(6)=42

Step-by-step explanation:

We know that the equaiton is f(x)=2x+3(x+4). So that means when it is f(6), we plug in 6 into all of the x. Therefore, the equation will be f(6)=2(6)+3(6+4). We combine like terms to get f(6)=12+3(10). We do 3x10 which is equal to 30. f(6)=30+12. 30+12=42. f(6)=42. Therefore, f(6)=42.

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Answer: 47

Step-by-step explanation:

That just means replace the x’s with 6 in the equation. So 2*6+3(6+4)+5. 6+4 is 10, 2*6 is 12. So the equation is now 12+3(10)+5. 3*10 is 30. 12+30+5=47.

Given:

P(x) is a 2nd degree polynomial.

[tex]P(1)=0,\ P(2)=3,\ P(-3)=0[/tex]

To find:

The polynomial P(x).

Solution:

If P(x) is a polynomial and P(c)=0, then c is a zero of the polynomial and (x-c) is a factor of polynomial P(x).

We have, [tex]P(1)=0,\ P(-3)=0[/tex]. It means 1 and -3 are two zeros of the polynomial P(x) and (x-1) and (x+3) are two factors of the polynomial P(x).

So, the required polynomial is defined as:

[tex]P(x)=a(x-1)(x+3)[/tex]          ...(i)

Where, a is a constant.

We have, [tex]P(2)=3[/tex]. So, substituting [tex]x=2,\ P(x)=3[/tex] in (i), we get

[tex]3=a(2-1)(2+3)[/tex]

[tex]3=a(1)(5)[/tex]

[tex]3=5a[/tex]

[tex]\dfrac{3}{5}=a[/tex]

Putting [tex]a=\dfrac{3}{5}[/tex] in (i), we get

[tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex]

Therefore, the required polynomial is [tex]P(x)=\dfrac{3}{5}(x-1)(x+3)[/tex].

10.7 hours per day

The total is 64.2.

If Ravi worked for 6 days and worked the same amount of hours each day then you do:

64.2 hours ÷ 6 days = 10.7 per day

Answer:

Option A

Step-by-step explanation:

Area of the composite figure = Area of ΔABH + Area of BCGH + Area of ΔDEF

Area of ΔABH = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(6)(8-5)[/tex]

                        = 9 in²

Area of the trapezoid = [tex]\frac{1}{2}(CG+BH)(\text{Distance between these lines})[/tex]

                                    = [tex]\frac{1}{2}(6+4)(5)[/tex]

                                    = 25 in²

Area of ΔDEF = [tex]\frac{1}{2}(8)(6)[/tex]

                       = 24 in²

Therefore, area of the given figure = 9 + 25 + 24

                                                          = 58 in²

Option A will be the correct option.

Answer:

7 occurs most frequently.

Step-by-step explanation:

If we roll two dice, we do get sample space as

(1,1) = 1+1 =2        (4,1)=4+1=5

(1,2)= 1+2 =3        (4,2)= 34+2=6

(1,3)= 1+3=4         (4,3)= 4+3=7

(1,4)=1+4=5          (4,4)= 4+4=8

(1,5)=1+5=6          (4,5)= 4+5 =9

(1,6)=1+6=7           (4,6)= 4+6=10

(2,1)= 2+1=3          (5,1)= 5+1=6

(2,2)=2+2=4         (5,2)=5+2 =7

(2,3)= 2+3=5        (5,3) =5+3=8

(2,4)=2+4=6         (5,4) =5+4 =9

(2,5)=2+5=7          (5,5)=5+5=10

(2,6)=2+6=8          (5,6)=5+6=11

(3,1)=3+1=4            (6,1)= 6+1=7

(3,2)=3+2=5          (6,2)=6+2=8

(3,3)=3+3=6           (6,3)=6+3=9

(3,4)=3+4=7           (6,4) =6+4 =10  

(3,5) =3+5=8          (6,5)=6+5=11

(3,6)=3+6=9            (6,6)=6+6=12

2 occurs for 1 time

3 occurs for 2 times

4 occurs for 3 times

5 occurs for 4 times

6 occurs for 5 times

7 occurs for 6 times

8 occurs for 5 times

9 occurs for  4 times

10 occurs for 3 times

11 occurs for 2 times

12 occurs for 1 time.

So, 7 occurs most frequently.

Answer:

Arc length SR = 18.85 ft

Step-by-step explanation:

To get the arc length, we use the formula below

theta/360 * 2 * pi * r

theta is the central angle subtended by the arc which is 120 degrees

r is the radius of the circle which is 9 ft

Substituting these values, we have

120/360 * 2 * 3.142 * 9

= 18.85 ft

Answer:

70 mb

Step-by-step explanation:

264 picture = 528 mb

35 pictures = ?

Solve for one picture:

Variable x = mb per 1 picture

264/528 = 1/x

Cross multiply:

264 × x = 528 × 1

264x = 528

x = 528 ÷ 264

x = 2

Each picture takes up 2 mb.

Multiply the number of pictures per 2 mb:

35 pictures × 2 mb

70 mb total

Answer:

x=27

Step-by-step explanation:

You want to isolate the variables so you subtract 5 from both sides. Therefore the equation will be 2/3x-1/9x=15. You want to take away the fraction because no one likes fractions. You have to multiply everything by 9. Therefore, the equation will be 6x-x=135. 5x=135. You want to isolate x so you have to divide each side by 5. x=135/5. Simplify to get x=27.

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Answer:

2,351,000

Step-by-step explanation:

closest to the volume in cubic feet

Answer:

4:25

Step-by-step explanation:

Given that,

r₁ = 15 inches, r₂ = 6 inches

The area of the cylinder is given by :

[tex]A=2\pi rh+2\pi r^2[/tex]

The ratio of surface areas of two cylinders,

[tex]\dfrac{S_2}{S_1}=\dfrac{2\pi r_2h_2+2\pi r_2^2}{2\pi r_1h_1+2\pi r_1^2}\\\\\dfrac{S_2}{S_1}=(\dfrac{r_2}{r_1})^2\\\\=\dfrac{6}{15}^2\\\\=\dfrac{4}{25}[/tex]

Hence, the required ratio is 4:25.

Answer:

(0.30, 0.42)

Step-by-step explanation:

i took the test :)

Answer:

See attachment for drawing

Step-by-step explanation:

Given

See attachment for sketch of plan

Required

Draw a scaled plan

From the question, the garden has the following dimensions.

5.5m, 5.5m, 4m and 2.5m

Using a scale of 1m : 50 cm units, the above measurements will be represented as:

[tex]5.5m \to \frac{5.5m}{50cm} \to \frac{5.5m}{0.5m} \to 11cm[/tex]

[tex]4m \to \frac{4m}{50cm} \to \frac{4m}{0.5m} \to 8cm[/tex]

[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5cm[/tex]

From the question, we understand that there will be 50cm space between the greenhouse and the edge.

On the scale drawing, this will be represented as:

[tex]50cm \to \frac{50cm}{50cm} \to 1cm[/tex]

From the question, the green house has the following dimensions.

2m, 2.5m

On the scale drawing, this will be represented as:

[tex]2m \to \frac{2m}{50cm} \to \frac{2m}{0.5m} \to 4m[/tex]

[tex]2.5m \to \frac{2.5m}{50cm} \to \frac{2.5m}{0.5m} \to 5m[/tex]

See attachment 2 for scale drawing

Answer:

4 shirts

Step-by-step explanation:

$48/$12= 4 shirts

Hope this helped! :)

Answer:

[tex]1397\frac{1}{3}[/tex]

Step-by-step explanation:

Answer:

1,397.33333

Step-by-step explanation:

4,192/3 is 1,397.33333 because 3 goes into 4,192, 1,397 times fully and a third more (1/3) to fit.

Answer:

A)  y = 6x + 8

Step-by-step explanation:

Answer:

Obtuse.

Step-by-step explanation:

If we have a vector v = (a, b, c)

The magnitude of the vector is:

|v| = √(a^2 + b^2 + c^2)

And the dot product of two vectors:

v = (a, b, c)

w = (c, d, e)

is:

v.w = |v|*|w|*cos(θ) = a*c + b*d + c*e

With that relation, we can find the angle between the two vectors.

In this case, we have:

v = ⟨−1,0,1⟩

then:

|v| = √( (-1)^2 + 0^2 + 1^2) = √2

And:

w = ⟨4,5,2⟩

then:

|w| = √( 4^2 + 5^2 +2^2) = √116

Then:

v.w = (√2)*(√116)*cos(θ) =  (-1)*(4) + 0*5 + 1*2

(√2)*(√116)*cos(θ) = -4 + 2 = -2

(15.23)*cos(θ) = -2

cos(θ) = -2/15.23

θ = Acos( -2/15.23) = 97.5°

Then the angle is larger than 90°, so the angle is obtuse.

Answer:

.62

Step-by-step explanation:

first move the decimal 3 places to make it a whole number and now we have 4960, now we divide 4960 by 8 giving us 620, now we move the decimal 3 places back and it gives us the decimal .62.

Answer:

n=-12

Step-by-step explanation:

Answer:

if it rains 7 out of 10 days the chance of rain for one day is 70%

Step-by-step explanation: