What is the volume of the following rectangular prism? 1 3/4 units
1/2 units

Answer:

area of circle B=1964 square unit

The area of the cube using the distance formula is 16 square units and each side measure is 4 units.

It is defined as three-dimensional geometry that has six square faces and eight vertices.

We have a cube shown in the picture.

Area of the cube = 16 square units

Area of cube = side²

Side = √16 = 4 units

Each side of the cube = 4 units.

From the attached figure, we can see each side lies on each quadrant.

Using the distance formula, we can calculate the distance between two

points:

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

The area of the cube = 4×4 = 16 square units

Thus, the area of the cube using the distance formula is 16 square units and each side measure is 4 units.

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Answer:

all right angels are congruent

Step-by-step explanation:

The equation of the line that is perpendicular to y = -5/2 x + 1 and passing through (10, 3) will be y = 2/5 x + 1.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

The equation of the perpendicular line will be given as

y = mx + c

The given equation is y = -5/2 x + 1.

The slope of the line is -5/2.

Then the product of the slope of the perpendicular lines is a negative one.

-5/2 × m = - 1

m = 2/5

Then the equation will be

y = 2/5 x + c

Then the equation is passing through (10, 3). Then we have

3 = 2/5 × 10 + c

3 = 2 + c

c = 1

Then the equation is y = 2/5 x + 1.

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Answer:

y = 2x + 3

Step-by-step explanation:

x = 1 , y = 2(1) + 3 = 5

x = 2, y = 2(2) + 3 = 7

x = 3, y = 2(3) + 3 = 9

x = 4, y = 2(4) + 3 = 11

x = 5, y = 2(5) + 3 = 13.

Radius of base=19.05/2=9.525

Volume

Answer:

about 1,005.3 cubic feet

Step-by-step explanation:

V = π(4^2)(20) = π(16)(20) = 320π = 1,005.3 cubic feet

Answer:

1,000

Step-by-step explanation:

uhhhh haha

Answer:Option A is correct.

y-2=0

Step-by-step explanation:

Option A is correct.

General form of the equation of the line:  y-2 = 0

Step-by-step explanation:

The general form of the equation is given by:

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

y-intercepts of the line is the value of y at the point where the line crosses the y-axis(i.e x= 0)

From the given figure;

we can see that the line crosses the y-axis at y =2  and also here the slope is , m= 0

therefore, by definition of y-intercepts

y-intercept (b) = 2

Therefore, the equation of line as shoen in figure is:

y = (0)x + 2

or

y = 2

y-2 = 0

Therefore, the general form of the equation line as shown in the figure is:

y-2 =0

Answer:

125 : 216

Step-by-step explanation:

Let the volumes of the spheres be V₁ and V₂ respectively.

Volume (Sphere radius = 5) :

Volume (Sphere radius = 6) :

Taking the ratio of V₁ and V₂ :

Given ratio: [tex](\text{Radius of Sphere}_1 : \text{Radius of Sphere}_2) = (5 :6)[/tex]

Step-1) Multiply both sides of the ratio by x:

    [tex]\implies (\text{Radius of Sphere}_1 : \text{Radius of Sphere}_2) = (5x :6x)[/tex]

    [tex]\implies \text{Radius of Sphere}_1 = 5x;\ \text{Radius of Sphere}_2 = 6x[/tex]

Step-2) Substitute the radiuses of each sphere into the "Volume formula"

               Volume of sphere₁                                Volume of sphere₂      

    [tex]\implies \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi r^{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi r^{3}[/tex]

    [tex]\implies \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi (5x)^{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi (6x)^{3}[/tex]

    [tex]\implies \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi (5x)(5x)(5x) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi (6x)(6x)(6x)[/tex]

    [tex]\implies \ \ \ \ \ \ \ \ \dfrac{4}{3} \pi (125x^{3} ) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 4 \pi (2x)(6x)(6x)[/tex]

    [tex]\implies \ \ \ \ \ \ \ \ \dfrac{500x^{3} }{3} \pi \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 288x^{3} \pi[/tex]

Step-3) Plug the volume of both spheres in ratio form:

The ratio for the volumes of the two spheres must be in the respective place of the ratio for the radiuses of the two similar spheres. Therefore,

Ratio form: [tex]\underline{(\small\text{Volume of sphere}_1 : \text{Volume of sphere}_2)}[/tex]

    [tex]\implies \dfrac{500x^{3} }{3} \pi: 288x^{3} \pi[/tex]

Step-4) Simplify both sides of the ratio:

    [tex]\implies \dfrac{500x^{3} }{3}: 288x^{3}[/tex]

    [tex]\implies \dfrac{500 }{3}: 288[/tex]

    [tex]\implies \dfrac{500 }{3}} \div{\dfrac{288}{1} } \implies \dfrac{500}{3} \times \dfrac{1}{288} \implies \dfrac{500}{864} \implies \boxed{\dfrac{125}{216}}[/tex]

Therefore, the ratio for the volumes of two similar spheres is 125 : 216.

The data set that is more likely to produce a histogram with a symmetric distribution is data on the number of seconds on a track of music in a pop album.

Data on a histogram have a symmetric distribution if the left side and the right side of the histogram are mirror images of each other.

It is likely that the number of seconds on a track of music in a pop album would be relatively uniform. Thus, it is likely to have a symmetric distribution. The number of seconds spent talking on the phone varies greatly.

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Answer:

x is greater than or equal to 16.

Step-by-step explanation:

Hi! It says atleast 80 points, so your sign should be flipped over to show that x+64 needs to be ATLEAST 80. Then they asked you to solve for x. To solve for x, you subtract 64 from each side to get x is greater than or equal to 80-64, otherwise known as 16.

The inequality is [tex]x +64 \ge 80[/tex]

It solves to [tex]x \ge 16[/tex]

She needs at least 16 more points.

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

Further Explanation:

"At least 80" means "80 or more"

In other words, the lowest grade she can get is 80

x = number of points she needs

x+64 = number of points she has, after adding on the earlier 64 points

The x+64 must be 80 or larger. So the inequality to set up is [tex]x+64 \ge 80[/tex]

You had the right idea, but need to flip the inequality sign.

To solve this inequality, you subtract 64 from both sides and you should end up with [tex]x \ge 16[/tex]

This says she needs at least more 16 points to go with the 64 points she already has.

Answer:

166 1/2 or 166.5

Step-by-step explanation:

The formula for finding area is length*width. This can also just be written as A=l*w. Our area is still unknown, so it'll stay as A in this equation. Here, our length and width don't matter all that much, so we can input them where we please.

Now, we have the equation A=18*9 1/4

So, let's solve! 18*9 1/4 is equal to 166 1/2 or 166.5

With this, the area is equal to 166 1/2 or 166.5

Answer:

[tex] \boxed{ \tt{Area \: \: of \: a \: circle = \pi \: {r}^{2} }}[/tex]

[tex] \longrightarrow \tt \: 3.14 \times 35^{2} [/tex]

[tex] \longrightarrow \tt \: 3846.5\: in ^{2} [/tex]

--------- HappY LearninG <3 --------

          [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

           What is the area of a circle with a radius of 35 inches?

       [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

     We're asked to find the area of a circle, which we can find using the following formula:-

     [tex]\Large\textsf{$A=\pi r^2$}[/tex]

    Where:-

     Replace r with 35 and π with 3.14:-

   [tex]\Large\text{$A=3.14\times35^2$}[/tex]

[tex]\bigstar[/tex] On simplification,

    [tex]\Large\text{$A=3.14\times1,225$}[/tex]

[tex]\bigstar[/tex] On further simplification,

  [tex]\Large\text{$A=3846,5 in^2$}[/tex]

[tex]\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}[/tex]        

Answer:

1  5/16

Step-by-step explanation:

3/4  /  8/14    is the same as

3/4  * 14/8 = 42 /32        1  5/16

Answer: 13 and 14

Step-by-step explanation: algbra

Answer:

the 24-ounce box

Step-by-step explanation:

18/2.88 = 6.25$

24/3.6 = 6.67$

Answer:

5^8

Step-by-step explanation:

Diego added the exponents. This was an error. If he was simplifying

5^2 × 5^4, then he could add the exponents and get a correct answer. But his problem had a power raised to a power. In this case, you multiply the exponents to simplify.

(5^2)^4 means

5^2×5^2×5^2×5^2

which is

5×5×5×5×5×5×5×5

which is 5^8.

Answer:

A

Step-by-step explanation:

It is the only one that has both heads and tails equally on all options, instead of heads heads or tails tails. There aren't any fair coins that are like that

hope this helps :)

Answer:

A i think

Step-by-step explanation:

-6(-3+x) = 6

-3+x = 6+6

-3+x=12

-3x=12

x=12^3

x=2

Answer:

128 Layers

Step-by-step explanation:

1*2*2*2*2*2*2*2 = 128

Answer:

P(Q ∩ R) = 1/6

Step-by-step explanation:

Given:

For independent events Q and R,

P(Q ∩ R) = P(Q)P(R)

Therefore,

P(Q ∩ R) = (1/4)(2/3)

              = 2/12

              = 1/6

Answer:

i dont know what this means

Step-by-step explanation:

please explain in a further and better format to underline the question son.

Since the lens is 2.9 inches wide, the total thickness of the lens is 0.29 in

To answer the question, we need to know what equations are.

Equations are mathematical expressions which show the relationship between two variables.

Since f(x) = x²/58 describes half the thickness of the lens where x  = width of lens.

So, the total thickness of the lens is y = 2f(x)

= 2 × x²/58

= x²/29

Since x = 2.9 in, substituting x into the equation, y, we have

y = x²/29

y = (2.9)²/2

y = 8.41/29

y  0.29 in

So, the total thickness of the lens is 0.29 in

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Total amount he needs to save = 200 + 145.50 = 345.50

Number of weeks = total needed / weekly savings

345.50 / 75.50 = 4.57

He will need to work 5 weeks.

Answer:

it’s cross multiplication.

Step-by-step explanation:

I’m wondering if you had a teacher that was trying to explain this and even online I had a teacher who would explain something when nobody understood the topic.

1. 2 * 13 = 26

2. 10 * x = 10x

26 = 10x

Answer:

X=2.6

Step-by-step explanation:

This shows 'cross multiplying'

     This is a 'short cut' method of finding the common denominator of two fractions in order to 'work' with them :

2/x = 10/13     <==== common denominator is 13x  

             so multiply the L side by 13/13   and the right side by x/x to get

26/13x = 10x / 13x      Now with common denominator, you can solve.

  Equate the numerators :

26 = 10x       <====== there is your 'short cut' found by cross multiplying

x = 26/10 = 2.6

The maximum IRA contribution for 2017 and 2018 was $5,500 and the amount is fully tax-deductible.

An individual retirement account (IRA) contribution is a tax-advantaged contribution that allows the taxpayer to save money for retirement.

Given the couple's adjusted gross income of $95,000 in 2017, the maximum IRA contribution is $5,500 fully tax-deductible.

IRA contributions fall into:

Thus, the maximum IRA contribution for 2017 and 2018 was $5,500 and the amount is fully tax-deductible.

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Answer:

[tex](x, \: y) --->\: (x - 3, \: \: y - 5)[/tex]