The shaded sector of the circle shown above has an area of 18 pi square feet

Answer:

3/18 gallons/seconds, or 1/6 gallons/seconds

Step-by-step explanation:

We know that for every 3 gallons, the faucet fills that amount up in 18 seconds. Another way we can write that is "3 gallons for 18 seconds", or 3 gallons / 18 seconds.

Therefore, in terms of gallons to seconds, we can write this as 3 gallons/18 seconds.

One cool thing we can do with fractions is that if we multiply/divide the numerator by the same thing, the fraction is still the same amount, like if we divided by one. For example, if we multiply 1/10 by 10/10 = 1, we would get 10/100 = 1/10, changing the numbers but still keeping the fraction intact. We can apply this concept here to reduce the fraction.

Reducing the fraction means that we want to make the numerator and denominator as small as possible while still keeping them as integers. This means that, if possible, we should divide both the numerator and denominator by their greatest common factor (if it is greater than 1).

To find the greatest common factor, we can list factors and find the greatest one among them.

We have two numbers, 3 and 18.

The factors of 3 are 1 and 3 while the factors of 18 are 1, 2, 3, 6, 9, and 18. The greatest common number among these two is 3. Therefore, we can divide both these numbers by 3 to get

3/18 = 1/6 gallons/seconds as our answer

Answer:

y = 3/4x +7/2

Step-by-step explanation:

slope of line = difference of 2nd x value - 1st x value/ 2nd y value - 1st y value

x difference /y difference = 3/4 = slope

y = 3/4x

to find y-intercept, add a variable

y = 3/4x + B

then add the first x and y value point numbers into equation

0 = 3/4(4) + B

-3 = B

put back B into equation.

y = 3/4x - 3 which is the linear path the biker is going

now you can use another variable to find the new bike path

y = 3/4x + A

plug in the x value 2 and y value 5 from (2,5)

5 = 3/2 + A

A = 7/2

there-fore the new line which is parallel to the old line is:

y = 3/4x +7/2

Answer:

11: 12

Step-by-step explanation:

Let the number of oranges and pears Mr Lynch have initially be x and p respectively.

x -10= ½p

2(x -10)= p

p= 2x -20 -----(1)

Since Mr Lynch did not give any pears away, the number of pears at the end is the initial number of pears.

p= 24

Substitute p= 24 into (1):

2x -20= 24

2x= 24 +20 (+20 on both sides)

2x= 44

x= 44 ÷2

x= 22

[tex] \frac{x}{p} = \frac{22}{24} [/tex]

[tex] \frac{x}{p} = \frac{11}{12} [/tex]

Thus the ratio of orange to pears in the beginning is 11: 12.

Answer:

A. 15s < 200

Step-by-step explanation:

Which inequality represents how many pairs of shorts, s, the coach can buy?

A. 15s < 200

B.15s > 200

C. 15s <(with line under)200

D 15s >(with line under)200

Let

s = cost of eat short

Number of students (Short) = 15

Less than (<)

The inequality:

Number of short * cost of each short < $200

15 * s < 200

15s < 200

s < 200/15

s < $13.333333333333

Answer:A. 15s < 200

Step-by-step explanation:A. 15s < 200

Step-by-step explanation:

Option D

As time increases, the temprature of soup decreases..

hope it helps

Answer:

x = 2 sqrt(3)/3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 1 /x

x sin 60 =1

x = 1 /sin 60

x = 1 / sqrt(3)/2

x = 2 sqrt(3)/3

Answer:

A = 16 units²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

The right triangle on the left is a 3- 4- 5 ( Pythagorean triple )

Then b = 4 and h = 4 , so

A = 4 × 4 = 16 units²

Answer:

x=180-x

2x=180

x=90

Step-by-step explanation:

Answer:

In terms of x, the smaller integer is (x - 1)/2

Step-by-step explanation:

Two consecutive positive integers can be written as:

n and (n + 1)

Where n is an integer and:

n > 0.

notice that the smaller of the two integers is n.

We know that the sum of these two integers is equal to x, then:

n + (n + 1) = x

we can rewrite this as:

2n + 1 = x

solving this for n (the smaller of the two integers) we get:

2n = x - 1

n = (x - 1)/2

In terms of x, the smaller integer is (x - 1)/2

i think by x2 you meant x²

(-3x² + 2x + 1) + (-8x² + 3x + 2)

-11x² + 5x + 3

Answer:

y = 4

Step-by-step explanation:

[tex]\frac{sin(90)}{4\sqrt{2} } = \frac{sin(45)}{y}[/tex]

Answer:

y = 4

Step-by-step explanation:

Using the cosine ratio in the right triangle and the exact value

cos45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then

cos45° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{4\sqrt{2} }[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )

y × [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex] ( divide both sides by [tex]\sqrt{2}[/tex] )

y = 4

Answer:

10.61

Step-by-step explanation:

Answer:

a) y= x+7

The slope is 1 and the y intercept is 7

b) y = -3x

The slope is -3 and the y intercept is 0

Step-by-step explanation:

The slope intercept form of the equation of a line is

y = mx+b where m is the slope and b is the y intercept

a) y= x+7

The slope is 1 and the y intercept is 7

b) y = -3x

The slope is -3 and the y intercept is 0

Answer:

Step-by-step explanation:

Irrational numbers are non terminating and non repeating numbers

Example: √2 , π

5 irrational numbers between 2&3​:

2.102003000.......

2.12345......

2.12030405.....

2.505006000....

2.606006000.....

Answer: ∠TRS and ∠VRW  (Choice B)

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

Explanation:

Ignore ray RU. I would redraw the entire thing without ray RU as part of the picture. See below.

Notice how lines TW and SV intersect to form an X shape.

The angles TRS and VRW shown in red are opposite one another, so we consider them to be vertical angles. Vertical angles are always congruent.

Answer:

B ∠TRS and ∠VRW

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

[tex]d \: = \frac{h}{24} [/tex]

[tex]h \: = 24d[/tex]

Answer:

-3/2

Step-by-step explanation:

To find the slope, we use the slope formula

m = (y2-y1)/(x2-x1)

   = (-48- -24)/(19 -3)

   = (-48+24)/(19-3)

   = -24/16

   = -3/2

Answer:

[tex]-\frac{3}{2}[/tex]

Step-by-step explanation:

The slope of a line that passes through two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is given by:

[tex]m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let:

[tex](x_1, y_1)=(3, -24)\\(x_2, y_2)=(19, -48)[/tex]

Substitute into slope formula:

[tex]m=\frac{-48-(-24)}{19-3}=\frac{-24}{16}=\boxed{-\frac{3}{2}}[/tex]

Answer:

Solution given:

we have

k+4z=42

k=42-4z

and

k+4z=42

4z=42-k

dividing both side by 4

[tex]\frac{4z}{4}[/tex]=[tex]\frac{42-k}{4}[/tex]

z=[tex]\bold{\frac{42-k}{4}}[/tex]

If die is rolled two times, find the probably of getting "1'twice.

[tex] {1}\{36} [/tex]

Feel fre e too ask me

Please understand it

#BrainliestBunch

Answer:

5=1

4=5

i don't really know for the third one sorry but it's more than 11

Step-by-step explanation:

X=7

c is the answer:

[tex]3x + 50 = 10x + 1 \\ 10x - 3x = 50 - 1 \\ 7x = 49 \\ x = \frac{49}{7} \\ x = 7[/tex]

Answer:

12

Step-by-step explanation:

The altitude divides the hypotenuse into parts using this proportion

6/n = n / 18                Cross multiply

n^2 = 6 * 18

n^2 = 108

n = sqrt(108)

n = sqrt(4 * 9 * 3)

n = 2*3 *sqrt(3)

n = 6*sqrt(3)

Now use Pythagoras to get m. m is the hypotenuse of the small triangle on the left

m^2 = n^2 + 6^2

m^2 = 6^2 *sqrt(3)^2 + 36

m^2 = 36*3 + 36

m^2 = 108 + 36

m^2 = 144

m = sqrt(144)

m = 12

Answer:

Step-by-step explanation:

x is the geometric mean because it is a part of both the small triangle on the left (with base 81) and the whole triangle (with base 225). Setting up the geometric means formula:

[tex]\frac{81}{x}=\frac{x}{225}[/tex] and cross multiply to get

[tex]x^2 =18225[/tex] so

x = [tex]\sqrt{18225}[/tex] and

x = 135

Answer:

Option C(66.0)

Step-by-step explanation:

C = 2πr

C=Circumference

π=3.14(pi)

r=radius

C=2x3.14x10.5

3.14x10.5=32.97

32.97x2=65.94

65.94 rounded to nearest tenth is 65.9, so basically 66.0.

Step-by-step explanation:

where the model step by step explanation

so, on this solution, I tried to find which percentage of 15,800 is 711.

x/100 . 15800 = 711

158x = 711

x = 4.5

then, the tax rate equals to 4.5%

hope it helps :)

Answer:

Step-by-step explanation:

Increasing the side length by 5 is represented as s + 5. To get the area of a square we multiply side times side: [tex](s+5)^2=s^2+10s+25[/tex]

The area of a square is s². If we are increasing this area s² by 895, then to represent this we have s² + 895.

Put that together into an equation:

[tex]s^2+10s+25=s^2+895[/tex] and simplify to

10s = 870 so

s = 87

Let's check that. The area before the addition to the side is 87*87 = 7569; the area after the addition of 5 cm is 92*92 = 8464. The difference is

8464 - 7569 = 895 so we did good!

Answer:

sdfghjkl

Step-by-step explanation: