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3 years ago

True or False

Mathematics

1 answer:

Hitman42 [59]3 years ago

4 0

Answer:

True

Step-by-step explanation:

To find the average of anything, you add their values together, and then divide that number by how many of them you added.

Here, you are trying to calculate monthly expenditure, so you add their values together (the sum of monthly expenditures) and then you divide it by how many months you used to add up to the sum (divided by the number of months).

Hope this helped ya! :)

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Mathematical name of the shapes

Ber [7]

Answer:

A: Triangular Prism B:Cuboid

Step-by-step explanation:

I hope this helps! ^_^

6 0

3 years ago

What is the perimeter of a polygon with verticals at (-1, 3) , (-1, 6) , (2, 10) , (5, 6) , and (5, 3)

Marat540 [252]

Answer:

22 units

Step-by-step explanation:

The perimeter of a polygon is said to be the sum of the length of it's sides.

From the question, we have 5 vertices. This means the polygon is a pentagon. It's given vertices are

A = (−1, 3)

B = (−1, 6)

C = (2, 10)

D = (5, 6)

E = (5, 3)

To find the distance between two points, we use the formula

d = √[(y2 - y1)² + (x2 - x1)²]

Between A and B, we have

d(ab) = √[(6 - 3)² + (-1 --1)²]

d(ab) = √(3²) + 0

d(ab) = √9 = 3

Between B and C, we have

d(bc) = √[(10 - 6)² + (2 --1)²]

d(bc) = √[4² + 3²]

d(bc) = √(16 + 9) = √25 = 5

Between C and D, we have

d(cd) = √[(6 - 10)² + (5 - 2)²]

d(cd) = √[(-4)² + 3²]

d(cd) = √(16 + 9) = √25 = 5

Between D and E, we have

d(de) = √[(3 - 6)² + (5 - 5)²]

d(de) = √(-3)² + 0

d(de) = √9 = 3

Between E and A, we have

d(ea) = √[(3 - 3)² + (5 --1)²]

d(ea) = √[0 + (6)²]

d(ea) = √36 = 6

The perimeter is given as

d(ab) + d(bc) + d(cd) + d(de) + d(ea) =

3 + 5 + 5 + 3 + 6 = 22 units

7 0

3 years ago

Daniel moves no more than 30 of his sheep and goats into another field. More than 7 of his animals are sheep.Let s represent the

patriot [66]

Answer:

The required inequalities are $s+g\leq 30$ and $s>7$ .

Step-by-step explanation:

Consider the provided information.

Daniel moves no more than 30 of his sheep and goats into another field.

Let s represent the number of sheep and g represent the number of goats.

No more than means the number of sheep and goats should be less than or equal to 30.

For less than or equal to use the inequality ≤

Hence the required inequality is: $s+g\leq 30$

More than 7 of his animals are sheep.

This can be represented as:

$s>7$

Hence, the required inequalities are $s+g\leq 30$ and $s>7$ .

3 0

3 years ago

C=2πr, for r=8<br> What is c

navik [9.2K]

Substitute 8 into the formula and out comes 16<span>π!</span>

8 0

3 years ago

Read 2 more answers

1A research firm finds that the average number of customers that are in Somerset Mall on a

SpyIntel [72]

Answer: C(t) = -475.5*cos(t*pi/6) + 475.5

Step-by-step explanation:

We know that we have a sinusoidal relation, with a minimum at 9:00 am and at 9:00 pm.

If we define the 9:00 am as our t = 0, we have that the maximum, at 3:00pm, is at t = 6 hours.

and the other minimum, at 9:00pm, is at t = 12 hours.

Then we need to find a trigonometric function that has the minimum at t = 0, we can do this as:

-Cos(c*t)

when t = 0

-cos(0) = - 1

then we have a function:

C(t) = -A*cos(c*t) + B

where A, c and B are constants.

We know that at t = 0 we have 0 customers, and that at t = 6h we have 875 customers, that is the maximum.

then:

C(0) = 0 = -A + B

this means that A = B, then our function is:

C(0) = -A*cos(c*t) + A.

now, at t = 6h we have a maximum, this means that -A*cos(c*6h) = A

then:

C(6h) = A + A = 875

2A = 875

A = 875/2 = 437.5

and we also have that, if -cos(c*6) = 1

then cos(c*6) = -1

and we know that cos(pi) = -1

then c*6 = pi

c = pi/6

Then our function is

C(t) = -475.5*cos(t*pi/6) + 475.5

8 0

3 years ago