The scale on a map is 1in.=20mi. if the distance between two cities on the map is 2.5 inches how far apart are the actual cities?

Here's the solution,

the volume of the given figure is :

=》

[tex]volume \: \: of \: \: (pyramid \: + rectangular \: \: prism)[/tex]

volume of pyramid :

=》

[tex] \dfrac{l \times b \times h}{3} [/tex]

=》

[tex] \dfrac{4 \times 5 \times 6}{3} [/tex]

=》

[tex] \dfrac{120}{3} [/tex]

=》

[tex]40[/tex]

volume of pyramid = 40 cm³

now, volume of rectangular prism :

=》

[tex]l \times b \times h[/tex]

=》

[tex]4 \times 5 \times 2[/tex]

=》

[tex]40[/tex]

volume of rectangular prism = 40 cm³

volume of composite figure = 40 + 40

=》80 cm³

The volume of the composite solid will be 80 cubic cm.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as

V = L x W x H

The volume of the Pyramid will be given as,

V = (1/3) × Base area × height

Then the volume of the geometry will be

V = L x W x H + (1/3) x Base area x height

V = 5 x 4 x 2 + (1/3) x 4 x 5 x 6

V = 40 + 40

V = 80 cubic cm

Thus, the volume of the composite solid will be 80 cubic cm.

More about the geometry link is given below.

https://brainly.com/question/7558603

#SPJ2

Answer:

67....................

Answer:

16.4

Step-by-step explanation:

If it is asking for the tenth it will be the 1st one after the point and you round it to the next one.

Answer:

166.3

Step-by-step explanation:

line that shows 8, shows that each of six sides is 8

so that's 48

to get the "apothem"

it means get a side of the triangle where the hypotenuse is 8 and the base is 4 (half of 8)

so that is square root of 48 which is like 6.928

then plug into the formula

1/2 x 6.928 x 48 which is like 166.27

Answer:

36

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Let the number be x, then

First subtract 14 from number x, then

x - 14

Now multiply difference by -2, results -44

(x - 14) × -2 = -44

By solving equation,

-2X + 28 = - 44

- 2X = -44 - 28

X = -72 ÷ -2

x = 36

So, Peter's number is 36.

Answer:

A (I think because i cant tell what the answers are saying)

Step-by-step explanation:

1.5/5= 0.3

3/10=0.3

4.5/15=0.3

6/20=0.3

Next time take a screenshot because i can not really see what the answers are supposed to be. But A is the only one that should be correct

Answer: 4,000,000,000 mm

Step-by-step explanation:

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

The distance between the two cities in millimetres of 4,000,000,000 mm

Distance is defined as the length between the two points just like in the question it is the length between the two cities.

We know that:-

One kilometer is 10^6 or 1000000 millimeters

So 4000x1000000

4x1 is 4

Annex the zeros. There are 9 zeros.

= 4,000,000,000 millimeters

Therefore the distance between the two cities in millimetres of 4,000,000,000 mm

To know more about distance follow

https://brainly.com/question/2854969

#SPJ2

Answer:

B, C, and E

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

A pair of consecutive numbers is written as: N and N + 1

(where the larger page number is N + 1)

And we know that the product of these numbers is 1640.

Then:

(N)*(N + 1) = 1640

Solving for N, we get:

N^2 + N = 1640

N^2 + N - 1640 = 0

This is a quadratic equation, remember that for a general quadratic equation:

a*x^2 + b*x + c = 0

The solutions are:

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

In our case, the solutions are:

[tex]N = \frac{-1 \pm \sqrt{(1)^2 - 4*1*(-1640)} }{2} = \frac{1 \pm 81}{2}[/tex]

Then the two solutions are:

N = (-1 + 81)/2 = 40

N = (-1 - 81)/2 = -41

Because N represents the number on a page, it only can be a positive value, then we take the positive solution.

Then the two consecutive numbers, N and N + 1

are:

N = 40

N + 1 = 41

The value of the larger page number is 41.

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

Answer:

Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

68 games

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Games won = 85%

Game lost = 12

Here, 100% - 85% = 12

15% = 12

or 1% = 0.8

So, total games played (100%) = 80 games

Now, number of games won = Total games - Games lost

= 80 - 12

= 68 games

Hence, Kelly's team wins 68 games in the season.

Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

Answer:

Step-by-step explanation:

The Pythagorean Theorem holds for both positions.

The first configuration is an 6-8-10 right triangle.

The second configuration using the Pythagorean Theorem:

10^2 = (8-2x)^2 + (6 + x)^2

100 = 64 - 32x + 4x^2 + 36 + 12x + x^2

100 = 100 - 20x + 5x^2

5x^2 - 20x = 0  

5x(x - 4) = 0

x = 4 feet (we throw out the x = 0 solution as extraneous)

Answer:

61/10 or in decimal form 6.1 or 6 1/10

Step-by-step explanation:

Answer:

PE = 102.9 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8 m/s^2)(1.5 m)

= 102.9 Joules

Answer:

I think its C

Step-by-step explanation:

Answer:$18

Step-by-step explanation:4 * 4 = $16. One pair of pants = $13. 16 + 13 = $29. 47 - 29 = $18

Answer:

this is easy. all you have to do is multiply the denominator (3) by the outside number (12) to get 36. this leaves the equation being x^2 = 36. now you just find the square route of 36 (which is 6).

Step-by-step explanation:

x^2/3 = 12

12 x 3 = 36

x^2 = 36

/36 = 6

x = 6

Step-by-step explanation:

explanation is on the picture

Answer:

I think the answer is

[tex]x = \frac{9}{7} [/tex]

Step-by-step explanation:

Reason :

[tex]4x - 2 + 3x - 7 = 0 \\ collect \: like \: terms \\ 4x + 3x - 7 - 2 = 0 \\ 7x - 9 = 0 \\ 7x = 9 \\ x = \frac{9}{7} [/tex]

Therefore

[tex]x = \frac{9}{7} [/tex]

Answer:

the length— 6

width— is 9

Step-by-step explanation:

you said One side— 3m MORE

so we will consider the length Number as X

we will consider width As three plus X

- You want to know the Perimeter. So we have to

add.

— so the expression is 3+3+x+x+x+x = 30

it is then simplified to 6+4x= 30

then we should be able to find out the X  which is 6

when we substitute the values with dimensions, you will get

your final Answer

I hope This Helped!

Answer:

$3,442.40

$3,057.60

Step-by-step explanation:

The computation of the each investment is as follows:

let us assume the one investment be x

And, the other investment be y

So

According to the question

x + y = $6,500

And,

-7x + 8y = $364

Now multiply by 7 in equation 1

7x +  7y = $45,500

-7x + 8y = $364

15y = $45,864

y = $3,057.60

x = $6,500 - $3,0657.60

= $3,442.40

Answer and Step-by-step explanation:

First off, we need to get the variable by itself. We do this by adding 4 to each side of the inequality.

x < -6

Our answer is x < -6, so all values that are inputted to x and are less than -6 are solutions to the inequality.

#teamtrees #PAW (Plant And Water)

I need help with this too it’s confusing and I don’t understand it.

Answer:

55

Step-by-step explanation:

Put the one shape and split it into two other shapes. A square and a triangle.

find the areas of both of the shapes and add them together.

5×5=25

5×12=60/2 = 30

25+30=55

Answer:

55 units²

Step-by-step explanation:

The area of this shape would be the area of a square with sides 5 and a triangle with a base of 5 and a height of 12

To find the area of this shape, add the area's of the two shapes

This would be written as:

[tex]5^{2} +\frac{5*12}{2} \\ =25+(5*6)\\ =25+30\\= 55[/tex]

Answer:

(d)

Step-by-step explanation:

Given

See attachment for [tex]\triangle BCD[/tex] and [tex]\triangle B"C"D"[/tex]

Required

The transformations

Using B and B"" as points of reference, we have:

[tex]B = (1,4)[/tex]

[tex]B"" = (5,-1)[/tex]

The transformation is as follows:

First, reflect across y axis.

The rule is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex]B(1,4) \to B'(-1,4)[/tex]

Next, translate 6 units right.

The rule is:

[tex](x,y) \to (x + 6,y)[/tex]

So, we have:

[tex]B' (-1,4) \to B"(-1 + 6,4)[/tex]

[tex]B' (-1,4) \to B"(5,4)[/tex]

Lastly, translate 5 units down

The rule is:

[tex](x,y) \to (x,y-5)[/tex]

So, we have:

[tex]B"(5,4) \to (5,4-5)[/tex]

[tex]B"(5,4) \to (5,-1)[/tex]

Hence; (d) is correct

Answer:

20

Step-by-step explanation:

Answer:

3626 i hope this is correct sorry if it is not

Step-by-step explanation:

Answer:

you got it right

Step-by-step explanation:

you mathaway to get the answer

Answer:

Step-by-step explanation:

Hi