What is the volume of this rectangular prism?
A) 20 in^3

B) 50 in^3

C)220 in^3

D)250 in^3​

Answer:   [tex]\bold{\dfrac{12\pm \sqrt{144-0}}{2(17)}}[/tex]

Step-by-step explanation:

[tex]17x^2=12x\quad \rightarrow \quad 17x^2-12x+0=0\quad \rightarrow \quad a=17,\ b=-12,\ c=0\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-12)\pm \sqrt{(-12)^2-4(17)(0)}}{2(17)}\\\\\\.\ =\dfrac{12\pm \sqrt{144-0}}{2(17)}[/tex]

Answer:

General quadratic form is 17x²- 12x + 0 = 0.

Step-by-step explanation:

Given  : 17x² = 12x.

To find : Write the quadratic equation in general quadratic form below.

Solution : We have given that 17x² = 12x.

General quadratic form is  : [tex]ax^{2} + bx + c = 0[/tex].

We have 17x² = 12x.

Convert it in to general quadratic form

On subtracting both sides by 12x .

17x²- 12x + 0 = 0.

Here a = 17 , b = - 12 , c = 0 .

Therefore, General quadratic form is 17x²- 12x + 0 = 0.

3p/8 - 13 = -25

3p/8 = -12 | * 8

3p = -96 | : 3

P = -32

The value of p is -32

see the image

The answer is:

[tex]x=3\\y=2[/tex]

Ordered pair: (3,2)

The substitution method for solving system of equations consists in finding the solution by isolating and substituting each variable value into the given equations, doing that, all the variable value can be found.

So, we are given two equations:

[tex]2x+y=8\\y= -x+5[/tex]

We need to substitute (y) into the first equation,so:

[tex]2x+(-x+5)=8[/tex]

[tex]2x-x+5=8[/tex]

[tex]x+5=8[/tex]

[tex]x=8-5[/tex]

[tex]x=3[/tex]

Now that we know "x" we need to substitute it into the second equation, so:

[tex]y=-(3)+5[/tex]

[tex]y=2[/tex]

Hence,

[tex]x=3\\y=2[/tex]

So, the ordered pair will be: (3,2)

Have a nice day!

Answer:

Ordered pair = (3, 2)

Step-by-step explanation:

We are given the following equations and we are to solve them by substitution method:

[tex]2x+y=8[/tex] --- (1)

[tex]y= -x+5[/tex] --- (2)

Substituting the value of y from equation (2) to (1):

[tex]2x+(-x+5) = 8[/tex]

[tex]2x-x+5=8[/tex]

[tex]x = 8-5[/tex]

x = 3

Substituting this value of x in equation (2):

[tex]y = -(3)+5[/tex]

y = 2

So the ordered pair is (3, 2).

Answer:

30 cm

Step-by-step explanation:

The area of a parallelogram is given by  [tex]A=bh[/tex]

Where

A is the area

b is the base, and

h is the height

Since A and h are given, we plug that in and find the base. Shown below:

[tex]A=bh\\127\frac{1}{2}=b(4\frac{1}{4})\\b=\frac{127\frac{1}{2}}{4\frac{1}{4}}\\b=\frac{\frac{255}{2}}{\frac{17}{4}}\\b=\frac{255}{2}*\frac{4}{17}=30[/tex]

Hence, the base is 30 centimeters

Answer:

A, B, and C

I think. Please let me know if wrong.

Heres what i did:

1.8 x 100 = 180.

180 - 80 = 100

(they made over 10 in profit)

A. 1.2 x 0 = 0

B. 1.2 x 40 - 48

C. 1.2 x 60 = 72

D. 1.2 x 70 = 84

E. 1.2 x 80 =96

D and E bot Exceed 80 so it has to be AB and C

Hope this Helps ☺

Answer:

A,b,c

Step-by-step explanation:

P=1.8d-1.2s

P=180-1.2s

100=180-1.2s

-80=-1.2s

66.7=s

If they sold ≥67 sandwiches, p<100

If they sold ≤66 sandwiches, p>100

Therefore A, B and C are correct

Area of a triangle is 0.5(base x height)

Base = 320mi

Height= 270+210= 480mi

0.5(480 x 320) = 76,800 miles squared

The answer is:

The telephone pole is 20.8 foot tall.

Since it's not mentioned, we can assume that both, man and the telephone pole are close, so, if two similar triangles are created, we know that both shadows are proportional and we can find the telephone pole height creating a proportionality relationship.

We can find the telephone pole height using the following equation,

[tex]\frac{ManHeight}{ManShadow}=\frac{PoleHeight}{PoleShadow}[/tex]

Were,

Man height is 6 foot

Man shadow  is 4.5 feet long

Telephone pole shadow is 15.6 feet long.

So, substituting we have:

[tex]\frac{6}{4.5}=\frac{PoleHeight}{15.6}[/tex]

[tex]PoleHeight=15.6*\frac{6}{1.5}=20.8ft[/tex]

So, the telephone pole is 20.8 foot tall.

Have a nice day!

Answer:

The answer in the procedure

Step-by-step explanation:

we have

x+2y > 6

Isolate the variable y

y > -0.5x+3

The solution of this inequality is the shaded area above the dashed line

The equation of the dashed line is y=-0.5x+3

The slope of the dashed line is negative (m=-0.5)

The y-intercept of the dashed line is 3 (value of y when the value of x is equal to zero)

The x-intercept of the dashed line is 6 (value of x when the value of y is equal to zero)

Plot the intercepts to draw the dashed line and shaded the area above the dashed line

see the attached figure

Answer:

300 cm

Step-by-step explanation:

Given a sphere and a cylinder with the same radius, r, and the height of the cylinder equal to the radius, the sphere has a greater volume. This is concluded by comparing the volume formulas for a sphere (4/3πr³) and a cylinder (πr³).

The sphere and cylinder have the same radius, r, and the height of the cylinder, h, is equal to its radius, r. We'll calculate the volumes of both an apply our given conditions to see which figure has a greater volume.

The formula for the volume of a cylinder is Vcylinder = πr²h. In this case given that h=r, it becomes Vcylinder = πr³.

The formula for the volume of a sphere is Vsphere = 4/3πr³.

Comparing both, we definitely see that the sphere with a volume of 4/3πr³ is greater than the cylinder with a volume of πr³

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Answer:

{-12, 2}

Step-by-step explanation:

x^2 + 10x = 24

Take half of the x-term coefficient and square it. Add that to both sides.

Half of 10 is 5. 5^2 = 25.

x^2 + 10x + 25 = 24 + 25

(x + 5)^2 = 49

x + 5 = +/-sqrt(49)

x + 5 = 7 or x + 5 = -7

x = 2 or x = -12

{-12, 2}

Step-by-step explanation:

350-40x>40

Now you subtract 350 from both sides. -40x is greater than negative 310. Divide by -40 on both sides and flip the sign since you are dividing by a negative. x<31/4 or 7.75, so round down and she can only have 7 exhibits

Answer:

she can have at most seven exhibits

Step-by-step explanation:

Answer:

compound interest

Step-by-step explanation:

2000 * 20 to power of 3

no its not l. the top is 3 the bottom is one

Answer:

0.55511330152

Step-by-step explanation:

Answer:

x = 47

Step-by-step explanation:

Using the cofunction identity

cos x = sin(90 - x), hence

cos43 = sin (90 - 43) = sin47

Answer:

no

Step-by-step explanation:

if he randomly pulls it out it's still the same number of red cards and also the total number of cards as always

can't change

the number of candy bars (x) divided by 16 kids is less than or equal to 66 canyldy bars

That would be 70 percent.

8 divided by 2=4 then square the 4

16

Answer:

16

Step-by-step explanation:

A perfect square trinomial is a three-term polynomial (also called a trinomial) that results from squareing a binomial. Every trinomial of the form: [tex]a^{2} +2ab+b^{2}[/tex], It is a perfect square trinomial.

In this case, it is necessary to divide the intermediate value of 8 by 2, and then square it, obtaining the result.

Answer:

Option A. [tex]37.5\ cm^{2}[/tex]

Step-by-step explanation:

we know that

The surface area of a cube is equal to

[tex]SA=6(b)^{2}[/tex]

where

b is the length side of the cube

In this problem we have

[tex]b=2.5\ cm[/tex]

substitute the value in the formula

[tex]SA=6(2.5)^{2}=37.5\ cm^{2}[/tex]

Answer:

if i had to say i would say B. 15 sq cm

Step-by-step explanation:

what you do is take 5 away from 3. No! Borrow 1 Whole (9) and makes it 9 13/8 - 8 5/8 then subtract the 2 fractions

[tex] \frac{13}{8} - \frac{5}{8} ...[/tex]

and that is

[tex] \frac{8}{8} [/tex]

then convert that into 1 whole. Now add the whole to the 9 and thats 10. Now, subtract the 2 whole numbers. 10-8=2 so the answer is 2

1. 311

2. 522

3. 603

4. 341.47826087

5. 221.558823

5b. All i did was divide the regular way or u could just put it in a calculator?

Answer:

464 in²

Step-by-step explanation:

Surface area of a figure is the total area of its sides.

We shall assume that the shape is a solid.

2 × (5 × 10) = 2 × 50 =  100

2 × 1/2 × 4(10+16) = 4 × 26 = 104

10 × 10 = 100

10 × 16 = 160

Total area = 100 + 104 + 100 + 160

                 = 464 in²

The surface area of a shape can be found by using specific formulas that differ depending on the shape's dimensions and type. For a sphere, the formula is A = 4πr², while for a rectangle, it's A = length × width. Other shapes like a cylinder require calculating the area of each side then adding them together.

In order to find the surface area of a shape, we first need to know the dimensions and type of the shape. For example, to find the area of a sphere, you'd use the formula A = 4πr², where 'r' is the radius of the sphere. To find the area of a rectangle, you'd use A = length × width.

If we're talking about a more complex shape, like a cylinder, we need to calculate the area of each face or side separately and then add them together for the total surface area. For example, the total surface area of a cylinder is given by A = 2πr(r + h), where 'r' is the radius of the base and 'h' is the height of the cylinder.

These are just a few examples. The calculation of the surface area will depend on the specific dimensions and type of the shape in question.

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C . Permutation number of ways = 1

Answer:

[tex]\large\boxed{VW=\sqrt{113}}[/tex]

Step-by-step explanation:

The formula of a distance between two points:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We have the points W(4, 6) and V(-3, -2). Substitute:

[tex]VW=\sqrt{(-3-4)^2+(-2-6)^2}=\sqrt{(-7)^2+(-8)^2}=\sqrt{49+64}=\sqrt{113}[/tex]

well, we have a missing point of R, but since is part of one of the tangent lines, we can safely assume is the point where the PR of 5 inches is at.

what is the angle at point R? namely the ∡SRP, well, SR is a tangent, RP is a radius line, they both touch/intersect at point R, thus R is the point of tangency for those two, and the point of tangency is always a 90° angle.

Answer:

5 seconds it will hit the water.

Step-by-step explanation:

y=-16t²+400

add -16t² to both sides

-16t²=-400

divide both sides by 16

t²=-25

t=√25

t=5

Answer:

t=5

Step-by-step explanation:

t=√25=t=5

Answer:11x4+3=47

Step-by-step explanation:

Answer:

47

Step-by-step explanation:

11 x 4 + 3 = 47