What is the volume of the tank, in terms of PI?

Answer:

The answer is 13 feet.

Step-by-step explanation:

Assuming that the lengths 5ft and 12ft are the legs of the triangle, use the  Pythagorean Theorem to find the unknown length of the hypotenuse:

a^2 + b^2 = c^2

Now, simply plug in the values of the triangle legs:

5^2 + 12^2 = c^2

25 + 144 = c^2

169 = c^2

c = 13

Answer:

13 ft

Step-by-step explanation:

The formula to find the length of the hypotenuse is:

[tex]a^2+b^2=c^2[/tex]

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So:

25 + 144 = 13

Have a good day :)

Answer:

- 12

Step-by-step explanation:

The sea level serves as a reference point and may be used to describe objacetsvir positions above or below it. Therefore, the sea level is regarded as a zero point or level. Hence, objects below are describes to be at a negative distance while those above are assigned the positive sign. Hence, for a position which is 12 km below sea level, then the object is said to be at a distance of - 12 km (below sea level takes the negative sign.)

Answer:

200 + 0.8x = 300

200 + 0.8x = 300

- 200 - 200

---------------------------

0.8x = 100

---------------

0.8 0.8

x = 125

Step-by-step explanation:

You have a TOTAL of 300 and want to spend it on the golf course. 200 MUST REMAIN in order to purchase other items. Golf balls are at a price of 0.8 EACH. The amount of golf balls that can be purchased is unknown so we can place x as the number of balls purchased for 0.8 each. (I bolded some words because it can help to how to set up an equation and where they should go. :D) I hope my explanation is clear enough for you to understand. I also solved the inequality above ^^^! I hope this helps!

Answer: n-8

Step-by-step explanation: n represents the unknown number. You need to subtract 8 from the number since "less than" is another phrase to describe subtraction.

I hope this helps, have a nice day.

Answer:

Gain= $93.01

ROI= 212.59%

Step-by-step explanation:

Given data

Cost of apple share in 2018 = $43.75

Sale price of apple share= $136.76

1. Her gain is

Gain= Sales price- Cost price

Gain = 136.76-43.75

Gain= $93.01

2. ROI is

ROI= Gain/cost*100

ROI= 93.01/43.75*100

ROI=2.1259*100

ROI= 212.59%

Answer:

12x - 29 + 4x + 1 = 180

Step-by-step explanation:

(12x - 29) and (4x + 1) are same- side interior angles and sum to 180° , then

12x - 29 + 4x + 1 = 180 ← is the equation to solve for x

16x - 28 = 180 ( add 28 to both sides )

16x = 208 ( divide both sides by 16 )

x = 13

Answer:

Step-by-step explanation:

take 40 degree as reference angle

using cos rule

cos 40=adjacent/hypotenuse

0.76=5/x

0.76x=5

x=5/0.76

x=6.578

x=6.58

Answer:

60 degree

Step-by-step explanation:

a hexagon has a total sum of angles equal to 720

720/6 = 120

180-120 = 60

Answer:

x^2 = 10

x = square root symbol with 10 underneath

Or x = 3.16227 (round to appropriate place)

—————

x^3 = 316

x = cubed root symbol with 316 underneath

or x = 6.81128 (round to appropriate place)

I answered them two different ways, because sometimes your teacher wants you to leave it under the square root or cube root symbol, when it can’t be solved to an exact integer.

Answer:

Step-by-step explanation:

90-2(a-3)^2

=88{(a)^2-2*a*3+(3)^2]

=88[a^2-6a+9}

=88a^2-528a+792

Answer:

boi its 202 -1

Step-by-step explanation:

eiroiwzjsirgjzßπkgjπøˆß

Given:

The expression is:

[tex]\log_5(36)-\log_5(9)[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]\log_5(36)-\log_5(9)[/tex]

It can be written as:

[tex]\log_5(36)-\log_5(9)=\log_5\dfrac{36}{9}[/tex]              [tex][\because \log_m\dfrac{a}{b}=\log_ma-\log_m b][/tex]

[tex]\log_5(36)-\log_5(9)=\log_54[/tex]

Therefore, the simplified form of the given expression is [tex]\log_54[/tex].

Step-by-step explanation:

if b+c=0

b=-c

x^b=x^-c

so

1/[2(x^b)+1]

Answer:

7.5 m

Step-by-step explanation:

circumference = 360/72 × 3π = 15π

so the radius of the circle =

15π / 2π = 7.5 m

Answer:

x = -48

Step-by-step explanation:

-4(7.5x - 8) = -5(6.3x + 8)

-30x + 32 = -31.5x - 40

-30x + 31.5x = -40 - 32

1.5x = -72

x = -72/(1.5)

x = -48

Answer:

[tex]a_{n}[/tex] = - 2 [tex](4)^{n-1}[/tex]

Step-by-step explanation:

There is a common ratio between consecutive terms , that is

r = - 8 ÷ - 2 = - 32 ÷ - 8 = - 128 ÷ - 32 = 4

This indicates the sequence is geometric with nth term

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 2 and r = 4 , then explicit formula is

[tex]a_{n}[/tex] = - 2 [tex](4)^{n-1}[/tex]

Answer:

-1/2

Step-by-step explanation:

y2 - y1 / x2 - x1

-4 - (-2) / 2 - (-2)

-2 / 4

= -1/2

Answer:

All 5 photos will appear once in all the printed brochures

Step-by-step explanation:

Given

[tex]Copies = 2102[/tex]

[tex]Photos =5[/tex]

Required

The number of times the photo will appear

The interpretation of the question is to determine the number of times the 5 photos will appear in each copy.

From the question, we understand that the photos will appear once in a copy.

By extension, the 5 photos will appear once in other copies.

( x - 4 )^2 + ( y + 7 )^2 = 53

...................................................

Answer:

2x+y=7; 3x+2y=16

X = -2

Y = 11

Answer:

E.? subtract 2 on both sides

Step-by-step explanation:

the wording (to me) is mixed up for a and c

sry if its not correct

Answer:

9

Step-by-step explanation:

the median is 9 and to keep it the same you put 9

Hope this helps!!!

Answer:

c

Step-by-step explanation:

i think this is right

Answer:

x=-6

y=-2(-6)-7

y=5

x=-3

y=-2(-3)-7

y=6-7=-1

y=-1

x=0

y=-2(0)-7

y=-7

x=3

y=-2(3)-7

y=-6-7=-13

x=6

y=-2(6)-7

y=-12-7

y=-19

A functional rule is the relationship between an input or domain and an output or scope.

The given function is as follows:

x: -6, -3, 0, 3, 6

y: 5, -1, -7, -13, -19

A functional rule is the relationship between an input or domain and an output or scope. A relation is a function only if it has a value within each domain value. Functions are written like where is the input value. The general form of the function is:

A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable). Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships.

Let the given function be y = -2x - 7.

Where, x = -6

substitute the values in the above equation, we get

⇒ y = -2(-6) - 7

⇒ y = 5

Let the value of x = -3

substitute the values in the above equation, we get

⇒ y = -2(-3) - 7

⇒ y = -1

Put, x = 0

substitute the values in the above equation, we get

⇒ y = -2(0) - 7

⇒ y = -7

Put, x = 3

substitute the values in the above equation, we get

⇒ y = -2(3) - 7

⇒ y = -6 - 7 = -13

Put, x = 6

substitute the values in the above equation, we get

⇒ y = -2(6) - 7

⇒ y = -19

The given function is as follows:

x: -6, -3, 0, 3, 6

y: 5, -1, -7, -13, -19

To learn more about Functions, refer to:

brainly.com/question/25638609

#SPJ2

Answer:

x = 45 and y = 90

Step-by-step explanation:

Let the third angle be z

z = 180 - 135 (Linear Pair)

z = 45

Since its an iscosceles triangle,

<z = <x (angles opposite to equal sides have equal angles)

<x = 45 degree

<z + <x + <y = 180

45 + 45+ <y = 180

90 + <y = 180

<y = 180 - 90

<y = 90

Therefore x = 45 and y = 90

Hope u understood please mark as brainliest

Thank You

Answer:

x= 45°

y= 90°

Step-by-step explanation:

x= angles on a straight line add up to 180°. 180°-135° = x.

y= x+y=135° & x =45°

135°- 45° = y

Answer:

(A) -9 °F

Step-by-step explanation:

On Sunday, the wind chill temperature reached - 36 °F. On Monday, the wind chill

temperature only reached¼ of Sunday's wind chill temperature. What was the

lowest wind chill temperature on Monday? (A) -9 °F (B) -36¼°F (C) -40 °F (D) -144 °F

Sunday temperature = - 36 °F

Monday temperature = ¼ of Sunday's wind chill temperature

Monday = 1/4 of - 36 °F

= 1/4 * -36 °F

= (1 * -36)/4 °F

= -36/4 °F

= -9 °F

Monday temperature = -9 °F

The correct answer is (A) -9 °F

Answer:

(−8.3x+4)−(3.2x−5)

(−8.3x+4)−3.2x+5

−8.3x+4−3.2x+5

-11.5x+9

Step-by-step explanation: