answer all questions please.

Answer:

39.4285714286

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

1. Volume = 5128.67 ft³

The volume if sphere is given by:

V = (4/3)πr³

If the tank is cut into half vertically, then the volume of sphere becomes.

V = (4/3)πr³ / 2

If the tank is cut into half again horizontally, then the volume of the sphere becomes.

V = (4/3)πr³ / 4

Hence, as the main tank forms a quarter sphere, its Volume is given by:

V = (4/3)πr³ / 4

It is given in the question that the radius is 70 ft.

Substitute that in the given formula:

V = (4/3)π(70)³ / 4

V = 5128.67 ft³

 2. Volume of tank = 461,814 ft³

Step-by-step explanation:

Congruent tanks implies that both tanks are of identifical shape, form & dimensions. Congruent means that the tanks have the same radius as well as height. Hence, the heights and radii of tanks #1 and #2 are equal and the same.

Let's list out the information given us:

radius(tank #1) = 35 ft ⇒ radius(tank #2) = 35 ft, height(tank #2) = 120 ft ⇒ height(tank #2) = 120 ft

Volume of cylinder = πr²h

The tanks have been cut into half, as such:

Volume of tank = ½πr²h

Volume of tank = Volume(tank #1) + Volume(tank #2)

Since the tanks are congruent (same dimensions), we have:

⇒ ½πr²h + ½πr²h ⇒ πr²h

Volume of tank =  π * 35² * 120 = 147,000 π

Volume of tank = 461,814 ft³

3.  1047.2 ft³

Step-by-step explanation:

The following information is missing:

The main show tank has a radius of 60 feet and forms a quarter sphere where the bottom of the pool is spherical and the top of the pool is flat. (Imagine cutting a sphere in half vertically and then cutting it in half horizontally)

The only dimension needed for the main show tank is its radius. Then the model radius will be 1/6 * 60 = 10 feet

The volume of a sphere is:

V = 4/3 * π * r³

For a quarter sphere it is:

V = 4/3 * π * r³ * 1/4

V = 1/3 * π * r³

For the smaller mock-up tank:

V = 1/3 * π * 10³

V = 1047.2 ft³

Answer: D. the snail’s path

Step-by-step explanation: because The author uses the most precise words to describe the snail's path.

This excerpt has been taken from Heart of a Samurai, a historical novel written by Margi Preus in 2010. Precise words such as 'shiny', 'ribbon' and 'unfurling' have been used in the second sentence to describe the path of the snail, which is a small animal that has a wet body and moves very slowly. In other words, the author describes the way the path looks by establishing a comparison between the path and a shiny ribbon.

Hope this help

Answer:

the snails path

Step-by-step explanation:

Answer:

x = 2 or 3

Step-by-step explanation:

Diagonal of a rhombus bisects the vertex angles. So,

[tex]x^{2} =5x-6[/tex]

[tex]=> x^{2} -5x + 6 = 0[/tex]

Lets factorise the eqn.

[tex]=> x^{2} - 2x - 3x + 6 = 0[/tex]

[tex]=> x (x - 2) -3(x-2)[/tex]

[tex]=> (x-2)(x-3) = 0[/tex]

Here x will have 2 values.

1) [tex]x-2=0[/tex]

[tex]=> x =2[/tex]

2) [tex]x - 3 = 0[/tex]

[tex]=> x = 3[/tex]

Answer:

The two column proof is presented as follows;

Statement           [tex]{}[/tex]                 Reason

1. ∠V ≅ ∠Y         [tex]{}[/tex]                  Given

2. [tex]\overline {WZ}[/tex] bisects ∠VWY    [tex]{}[/tex]     Given

3. ∠VWZ = ∠YWZ       [tex]{}[/tex]         Definition of bisection of angle

4. [tex]\overline {WZ}[/tex] ≅ [tex]\overline {ZW}[/tex]          [tex]{}[/tex]             Reflexive property

5. ΔWVZ ≅ ΔWYZ   [tex]{}[/tex]            Angle-Angle-Side congruency postulate

6. [tex]\overline {VZ}[/tex] ≅ [tex]\overline {YZ}[/tex]   [tex]{}[/tex]                      CPCTC postulate

Step-by-step explanation:

The two column proof is presented as follows;

Statement           [tex]{}[/tex]                 Reason

1. ∠V ≅ ∠Y         [tex]{}[/tex]                  Given

2. [tex]\overline {WZ}[/tex] bisects ∠VWY    [tex]{}[/tex]     Given

3. Given that ∠VWY is bisected by [tex]\overline {WZ}[/tex], therefore ∠VWY is split into two equal angles, ∠VWZ and ∠YWZ, from which we have ∠VWZ = ∠YWZ     [tex]{}[/tex]         by the definition of bisection of angle ∠WXY by [tex]\overline{WZ}[/tex]

4. By reflexive property, a line is congruent to itself, therefore, [tex]\overline {WZ}[/tex] ≅ [tex]\overline {ZW}[/tex]  

5. Given that two adjacent angles and a side adjacent to the two angles in ΔWVZ are congruent to the corresponding two adjacent angles and adjacent side in ΔWYZ,  ΔWVZ is congruent to ΔWYZ by the Angle-Angle-Side (AAS) congruency postulate

6. Given that ΔWVZ ≅ ΔWYZ, and side [tex]\overline {VZ}[/tex] of ΔWVZ is the corresponding side to side [tex]\overline {YZ}[/tex] of ΔWYZ, therefore, [tex]\overline {VZ}[/tex] is congruent to [tex]\overline {YZ}[/tex] by the Congruent Parts of Congruent Triangle are Congruent (CPCTC) postulate.

Answer:

The value of x = -10 if g(x)=0.

i.e.

When x = 0, g(-10)=0

Step-by-step explanation:

From the given graph, it is clear that the graph passes through the x-axis when x = -10.

In other words, the function becomes zero at x = -10.

Thus, the x-intercept x = -10 will determine that:

at x = -10 , g(-10) = 0

Thus, the value of x = -10 if g(x)=0.

i.e.

When x = 0, g(-10)=0

Answer:

. i think it's wrong

Answer:

x=1 ,x= -5

Step-by-step explanation:

x+2x2-4=-7x+6

2x2+x+7x-4-6=0

2x2+8x-10=0

divide through out by 2 to reduce the equation

x2+4x-5=0

by using formula method

x=[-b+\-√b2-4ac]/2a. a=1, b=4 c=-5

x=[-4+\-√4^2-4*1*-5]/2*1

x=[-4+\-√16+20]/2

x=[-4+\-√36]/2

x=[-4+\-6]/2

x=(-4+6)/2 ,x=(-4-6)/2

x=2/2 , x=-10/2

x=1 , x=-5

The number of solutions to the equation are two and Real in nature. The solutions are x = 1 and x = - 5.

We have the following quadratic equation -

x + [tex]2x^{2}[/tex] - 4 = -7x + 6

We have to determine its solutions.

The Quadratic formula is -

[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

According to question, we have -

x + [tex]2x^{2}[/tex] - 4 = -7x + 6

Rearranging the equation -

[tex]2x^{2}[/tex] + x + 7x - 4 - 6 = 0

[tex]2x^{2}[/tex] + 8x - 10 = 0

Using the quadratic formula -

[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

[tex]$x=\frac{-8\pm\sqrt{64-(-80)}}{4}$[/tex]

[tex]$x=\frac{-8\pm\sqrt{144}}{4}$[/tex]

[tex]$x=\frac{-8 +12}{4}[/tex]       and         [tex]$x= \frac{-8-12}{4}[/tex]

x = 1         and       x = - 5

Hence, the number of solutions to the equation are two and Real in nature. The solutions are x = 1 and x = - 5.

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Answer:

4

Step-by-step explanation:

because if change to slope intercept form: y = mx+b

4=m

m=slope

Answer: Slope = -4.000/2.000 = -2.000

x-intercept = 285/2 = 142.50000

y-intercept = 285/1 = 285.00000

Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

4*x+2*y-(12*48-2-4)=0

STEP

1

:

Pulling out like terms

1.1 Pull out like factors :

4x + 2y - 570 = 2 • (2x + y - 285)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1 Solve : 2 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Equation of a Straight Line

2.2 Solve 2x+y-285 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x+y-285 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 285/1 so this line "cuts" the y axis at y=285.00000

y-intercept = 285/1 = 285.00000

Calculate the X-Intercept :

When y = 0 the value of x is 285/2 Our line therefore "cuts" the x axis at x=142.50000

x-intercept = 285/2 = 142.50000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 285.000 and for x=2.000, the value of y is 281.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 281.000 - 285.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -4.000/2.000 = -2.000

Geometric figure: Straight Line

Slope = -4.000/2.000 = -2.000

x-intercept = 285/2 = 142.50000

y-intercept = 285/1 = 285.00000

Answer:

[tex]m=4[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (3, 7)

Point (5, 15)

Step 2: Find slope m

Answer:

4

Step-by-step explanation:

cuz

Answer: 2 year

Step-by-step explanation: After 3 years scheme B would be 80$ while Scheme A would be 75$

Answer:

X<2

Step-by-step explanation:

- signs will be cancelled after taking common.

then 6 is subtracted from 18 and we get 12.

then 12 is divided by 6 and we get 2.

the inequality sign will remain the same.

Answer:

I hope this helps!

Answer:

d

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Just took the test

The area of the triangle enclosed by 3 sides of a triangle is 6 cm²

The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. To find a triangle's area, use the formula area = 1/2 * base * height.

Given here: The dimensions of a triangle as 6 cm and base 2 cm

We know the area of the triangle is equal to half of the base times height,  

A=1/2×6×2

  =6 cm²

Hence, The area of the triangle enclosed by 3 sides of a triangle is 6 cm²

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Answer:

fair credit billing act

Answer:

142

Step-by-step explanation:

Ok explanation

we know the sides 9, 11, 38, and 13.

there are 2 missing sides we need to find

so the first one whic is the longer one is we know that the 38 is already 1 part of it but not the whole thing. We know the 9 is part of the 38 since it connects. So that gives us that side of 47.

Now for the shrter side, we know 1 part of it is 13 And the other part is 11. So we Add them up and get 24

Now the sides are 9, 11, 38, 13, 47, and 24

We add them up and get 142

Answer:

142 mi

Step-by-step explanation:

Top = 9 +38 = 47

Right Side = 13

Bottom Right = 38

11 + 9 = 20

Left Side = 24

47 + 13 +38 + 20 + 24 = 142

Answer:

Step-by-step explanation:

Ok look, you gonna laern something’s so basically you can not be a man of a man who is a man of a man and he killed you he was the one he saw him kill him he said it would be a good day he is not the only person who he was killed him in electric he didn’t know what he saw and killed a good man he said was he killed a man he was a good father he said ihe on my way to the hospital was at my moms for my first time here in a good day with him I was with green light blue red white white yellow blue blue orange green yellow blue blue green green orange yellow yellow orange orange brown white yellow yellow white yellow orange yellow yellow green yellow blue blue i was the yellow orange orange yellow orange green yellow blue blue white white blue green green among us

E

Answer: 68

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

i think its 6/2=3/1

Step-by-step explanation:

Identity property!

Because the identity property for addition tells us that zero added to any number is the number itself. Zero is called the "additive identity." In this case, 0 is being added to 40.

Answer:

B

Step-by-step explanation:

Answer:

26.92 min

if I'm not wrong!

The correct answers are A) Whole number, B) Integer, and C) Rational.

The number √64 is equal to 8. It satisfies the condition √64 = 8 because 8 multiplied by itself (8 x 8) equals 64.

Based on the options provided, the correct answers are:

A) Whole number: Yes, √64 is a whole number. Whole numbers are non-negative integers, and 8 is a non-negative integer.

B) Integer: Yes, √64 is an integer. Integers are numbers that can be positive, negative, or zero without any fractional or decimal parts. In this case, 8 is a positive integer.

C) Rational: Yes, √64 is a rational number. Rational numbers can be expressed as a fraction p/q, where p and q are integers, and q is not zero. The square root of 64 can be written as 8/1, which is a fraction where both the numerator and denominator are integers.

D) Irrational: No, √64 is not an irrational number. Irrational numbers cannot be expressed as fractions and have an infinite non-repeating decimal expansion. However, √64 is a terminating decimal, as it equals 8, which means it is not an irrational number.

Therefore, the correct answers are A) Whole number, B) Integer, and C) Rational.

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Answer:

Scalene triangle (As the definition says)

Answer:

$110.25

Step-by-step explanation:

Step one:

given

principal= $100

rate= 5%

time = 2 years

Required

The final amount

Step two:

The compound interest formula is

[tex]A=p(1+r)^t[/tex]

substituting we have

[tex]A=100(1+0.05)^2\\\\A=100(1.05)^2\\\\A=100*1.1025\\\\A=110.25\\\\[/tex]

The final amount is $110.25

Answer:

x = 49°

Step-by-step explanation:

Angles in a Triangle

The sum of the internal angles in any triangle adds up to 180°.

The figure shows a triangle that includes two angles with the same tick mark. This means they are congruent, i.e. they measure the same.

The larger triangle has three defined angles: 43°, 39°, and 2x. Since the sum of them is 180°:

43° + 39° + 2x = 180°

Operating:

82° + 2x = 180°

Subtracting 82°:

2x = 180° - 82° = 98°

x = 98°/2 = 49°

x = 49°

Answer:

[tex] \frac{ - 2}{25} \times 5[/tex]

first you multiply 2 by 5. Then you get 10 over 25. Then you simplify it. What is the common factor of both 10 and 25? Is it 2? No 2 is a factor of 10 but not 25. It's 5. After you get the common factor you divide both numbers by it. So 10/5 would be 2. 25 divide by 5 would be 5. And the negative sign remains

-2/25 x 5/1 = -10/25 = -2/5

hope this helps :}

Answer:

x = 3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

17 - (3x + 5) = 3x - 6

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that 3 does indeed equal 3.

∴ x = 3 is the solution to the equation.

Answer:

x = 3

Step-by-step explanation:

17 - 1(3x + 5) = 3x - 6

17 − 3 − 5 = 3x − 6

12 - 3x = 3x - 6 subtract five

-3x + 12 = 3x - 6 rearrange terms

-3x = 3x - 18 subtract twelve

-6x = 18 subtract negative three

divide by negative six

x = 3