How many different lines can be drawn if each line contains at least two of these points?

B
A
D
C

Answer:

Option C. 1246 sq cm

Step-by-step explanation:

Break the irregular figure into 2 rectangles.

Start on the top. If we break it up top we get a rectangle with a length of 29 cm and a width of 8 cm.

The formula for the area of a rectangle is:

[tex]A=lw[/tex]

[tex]A=29*8[/tex]

[tex]A=232[/tex]

Now calculate the area of the second rectangle which has a length of 39 cm and a width of 26 cm. We will use the formula stated above.

[tex]A=26*39[/tex]

[tex]A=1014[/tex]

Now add the two areas together.

[tex]232+1014=1246[/tex]

Answer:

Step-by-step explanation:

S₁ = 39·34 = 1326 sq. cm

S₂ = (39 - 29)·8 = 80 sq. cm

S = S₁ - S₂ = 1326 - 80 = 1246 sq. cm

Answer:

0

Step-by-step explanation:

Answer:

below

Step-by-step explanation:

Mathematically there cant be 150 student though since 85 + 70 = 155  

Answer:

  5a. $9.20

  5b. 75 clicks

Step-by-step explanation:

You are asked to make use of the given relationship between number of clicks (c) and budget remaining (A).

__

The number of clicks is given as c = 52, so the budget remaining is ...

  A = 30 -0.40(52) . . . . . use c=52

  A = 30 -20.8 = 9.20

There will be $9.20 left at the end of the day.

__

The number of clicks needed to use up the budge can be found by solving for c when A=0.

  0 = 30 -0.40c . . . . . use A=0

  0.40c = 30 . . . . . . . add 0.40c

  c = 30/0.40 = 75 . . . . . divide by 0.40

The ad was clicked 75 times if there is no daily budget remaining.

Answer:

<-8,-12,-9>

Step-by-step explanation:

got it right on edge

Answer:

A) 0.104

Step-by-step explanation:

[tex]P(X > n)=(1-p)^n\\\\P(X > 3)=(1-0.53)^3\\\\P(X > 3)=(0.47)^3\\\\P(X > 3)\approx0.104[/tex]

The slant height of the cone is = 15.6m. To calculate the slant height is further described below.

The radius of the cone is = 6m

The volume of the cone = 542.87m³

The height of the cone can be determined using the formula below;

V=πr²h/3

542.87 = 22/7×6²×h/3

542.87= 3.14×36×h/3

542.87= 113.04× h/3

Make h the subject of formula,

h = 542.87×3/113.04

h = 1628.61/113.04

h= 14.4m

Therefore the slant height ,

l=√r²+h²

l = √6²+14.4²

l= √36+207.36

l=√243.36

l= 15.6m

Therefore, the slant height of the cone is = 15.6m.

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The distance traveled by the ray will be 26 inches. Then the correct option is B.

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

In a science experiment, a student concluded that a ray has to travel a distance from one corner at the top of the rectangular prism to the opposite side where the surface touching the floor is intersected.

If the length, width, and height of the prism are given as 24 inches and 8 inches, 6 inches respectively.

Then the distance traveled by the ray will be

We know the formula

D² = L² + W² + H²

We have

L = 24 in

W = 6 in

H = 8 in

Then the distance will be

D² = 24² + 6² + 8²

D² = 576 + 36 + 64

D² = 676

D = 26 in

Thus, the correct option is B.

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Answer:

27 5/8

Step-by-step explanation:

12 5/8 + 2(7 1/2) = 12 5/8 + 15 = 27 5/8

The amount of space needed by John will be 27⁵/₈ inches.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that John must mount a box which is 12⁵/₈ inches wide. He wants to leave 7¹/₂ inches on each side of the box.

The amount of space needed by John will be calculated as below:-

E = 12⁵/₈ + 2(7¹/₂)

E = 12⁵/₈ + 15

E = 27⁵/₈ Inches

Hence, the amount of space needed by John will be 27⁵/₈ inches.

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Answer:

3x+6

x+x+2+x+4

» You can group the like terms, in this case, the x's and the numbers.

x+x+x+2+4

3x+6

A graph is a way to represent a lot of data in such a visual format. The graph for the given situation can be drawn as shown below.

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

The graph for the given situation can be drawn as shown below.

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C. Two-thirds vote

To help with checks and balances, the consitution allows congress to override a presidential veto with a two-thirds vote; also known as a constitutional majority.

Intial Vote

When Congress first votes on a normal bill (not a consitutional change) all that is required is a simple majority. A simple majority means more than 50 percent.

Presidential Veto

Just because something is passed by Congress does not mean that it will be a law. The President still has to sign the bill into law. However, the President has the option to veto the bill.

Overriding a Veto

If a bill is overridden, Congress can move to override the veto. If they want to override the veto, there must be a 2/3's majority that agrees to pass the bill again.

Additionally, when overriding a veto any votes that are not affirmative, this includes abstentions and absent voters, are considered opposing votes. For example, if 2 congressmen did not show up to vote, then their votes would automatically be counted against the bill.

Using the permutation formula and the combination formula, it is found that:

a) There are 24,024 ways to appoint the officers.

b) There are 1,001 ways to appoint the committee members.

c) [tex]p = \frac{1}{1001}[/tex] probability that the four youngest members are appointed to the committee.

The number of possible permutations of x elements from a set of n elements is given by:

[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]

[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by:

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

Item a:

For the officers, the order is important, as there are different roles, and 4 officers will be appointed from a set of 14 qualified candidates, hence we use the permutation formula to find the number of ways they can be appointed.

[tex]P_{14,4} = \frac{14!}{10!} = 24024[/tex]

Item b:

For the committee, the order is not important, as there are no different roles, and 4 members will be appointed from a set of the 10 remaining candidates, hence we use the combination formula to find the number of ways they can be appointed.

[tex]C_{14,4} = \frac{14!}{4!10!} = 1001[/tex]

Item c:

The four youngest is only one possible outcome, hence the probability they are appointed to the committee is given by:

[tex]p = \frac{1}{1001}[/tex]

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Answer:

2.5

Step-by-step explanation:

Radius is half way of the Diameter. so all you have to do is divde half.

Pick your favorite number and square it.

Squaring a number means you multiply it by itself.

Let's say you picked the number 7

7 squared = 7^2 = 7*7 = 49

Think of a 7 by 7 grid of tiny squares. There would be 49 total little squares to represent the total area. Graph paper might help visualize this.

Answer:

She will get 1.5.

Step-by-step explanation:

Because 3/2 is 1.5 so they are equal

Answer:

I will guess C because a matrix can only have 3 pivot positions.

Answer:

A,C,E

Step-by-step explanation:

All three use double negative signs which cancel out into a plus sign. Moving the parentheses doesn’t change the value in these problems.

Considering the situation described above, what would be the present value of this loan is $1,000.

This is explained below:

Given that the loan interest rate is $85 85/1000 = 8.5

Then the market interest rate is => 8.5 percent

Therefore, given that there is no difference between the market rate and the loan rate, then the loan is expected to be sold at $1,000 which is the face value of the loan.

To prove it, we have the following:

PV of the annuity of $85 during 8 years at an 8.5% market rate

C => 85

Time => 8

Rate => 0.085

C × { [1 - ( 1+ r ) ] ^-time } ÷ rate = PV

85 × [1 - (1 + 0.085)^-8] ÷ 0.085 = PV

PV =. $479.3306

Present value of the maturity date:

Maturity 1000

Time => 8

Rate => 0.085

Maturity ÷ (1+rate)^rate = PV

1000 ÷ (1+0.085)^8 = PV

PV => $520.6694

Therefore, the Total present value

=> PV c $479.3306 + PV m $520.6694

=> Total $1,000.

Hence, in this case, it is concluded that the correct answer is $1,000.

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Hello! :D

_________________________________________

ANSWER:

SOLUTION :

__________________________________________

Correct me if im wrong.

Answer:

252 cm is the anwer......

Answer:

5x+27 > -24

Don't forget the greater than or equal to sign, I just don't know how to type it. If you're not sure, it's the symbol I have typed above with a line underneath.

Hope this helps :)

Answer:

# Points / Questions ❔

200

# Wrong ❌

54

# Correct ✔️

146

Percentage

73%

Grade

C

Step-by-step explanation:

Answer: 84%

Step-by-step explanation:

Teachers average out your grades. In order to average numbers, you add all the numbers and divide by the number of numbers you just averaged. If you add 200 to 54 you get 254. 254 divided by 3 is 84. You will probably get higher then a 84 if those two 100's are majors but you should get around a 84% overall grade!

Answer:

Probably A?

Step-by-step explanation:

Answer:

135.5

Step-by-step explanation:

Answer:

2-1= 1

1 sea shell left with her

Answer:

108

Step-by-step explanation:

2x+12 and 3x-18 are vertical angles which mean they are congruent. We can write the equation 2x+12=2x-18 from this. When we solve for x, the answer is x=30. Now we can plug 30 into the equation 2x+12 to get 72. Notice that angle 2x+12 added to angle EFG is 180 degrees because they are supplementary. We subtract 72 from 180 to get the resulting answer of 108.

The measure of <EFG is 102.

The fundamental characteristics listed below make it simple to recognise parallel lines.

Given:

line m is parallel to line n.

As, 3x- 18 = 2x + 12 (Alternate Exterior Angle)

3x -2x = 12+ 18

x = 30

and, <EFG = 180 - (2x+ 12)  (Linear Pair)

<EFG = 180 - (60+12)

<EFG = 180 - 72

<EFG = 108

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Since ∠A and ∠B forms a straight line, ∠A and ∠B are a linear pair.

Linear pair:

A linear pair is the sum of two angles that forms a straight line (180°).

⇒ ∠A + ∠B = 180°

Measure of ∠A:

Subtract the measure of ∠B from 180 to determine the measure of ∠A.

⇒ ∠A = 180 - ∠B

Measure of ∠B:

Subtract the measure of ∠A from 180 to determine the measure of ∠B.

⇒ ∠B = 180 - ∠A

*Let us take a few examples to understand the concept better.

Let the measure of ∠B (In the triangle shown) be 105°.

What is the measure of ∠A?

Solution:

Substitute the measure of ∠B in the equation ∠A = 180 - ∠B:

Simplify the equation:

Therefore, the measure of ∠A is 75°.

Let the measure of ∠A (In the triangle shown) be 60°.

What is the measure of ∠B?

Solution:

Substitute the measure of ∠A in the equation ∠B = 180 - ∠A:

Simplify the equation:

Therefore, the measure of ∠B is 120°.

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The solution to the above function of summation (k - 1)! is determined as (n+1)P1.

The given expression can be simplified as follows;

∑(k - 1)!

Let's choose numbers;

(2 - 1)! = 1!

(3 - 1)! = 2!

(4 - 1)! = 3!

(5 - 1)! = 4!

(6 - 1) = 5! ----- + (n + 1)Pr

(1 + 1)P1 = 2P1 = (2 - 1)! = 1!

(2 + 1)P1 = 3P1 = (3 - 1)! = 2!

(3 + 1)P1 = 4P1 = (4 - 1)! = 3!

(4 + 1)P1 = 5P1 = (5 - 1) = 4!

Thus, the solution to the above function of summation (k - 1)! is determined as (n+1)P1.

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14 x 6 = 84

To find the area of a rectangle you need to multiply the length and the width of a rectangle. We can get the area of a rectangle by following this formula: A = L * W A is the area, L is the length, and W is the width.