A point is chosen at random on AK what is the probability that the point will be in CG

Answer:

D. 800$

Step-by-step explanation:

Did it on USA test prep

Answer:

132 square units

Step-by-step explanation:

We are to find the surface area of a square pyramid.

From the diagram above, we are given:

Slant height = 6 units

Base = 8 units

The formula is given as:

= 2bs + b²

= 2 × 8 × 6 + 6²

= 96 + 36

= 132 square units

Answer:

A & B

Step-by-step explanation:

cos(theta)tan(theta) can be expressed as;

cos(theta)tan(theta) = cos(theta) × (sin(theta))/cos(theta).

cos(theta) cancels out to give; sin(theta)

Thus is equivalent to option A

Answer:

1440°

Step-by-step explanation:

From the 8 sided diagram, 8 triangles can be obtained. 1 triangle adds up to 180° thus for the diagram ,sum of interior will be 180°×8=1440°

Answer:

y=2x-1

Step-by-step explanation:

Answer:

y=2x-1

Step-by-step explanation:

Every 1 x the line goes across it goes up 2 so x=2.  You will also notice that the line passes through -1 on the y so y=2x-1/  BTW great graphing calculator to check lines and equations

desmos calculator

Answer: 12 : 14  18 : 21  24 : 28  30 : 35

Step-by-step explanation:

hope these is the right answer to your question

Answer:

3 11/12 in.

Step-by-step explanation:

The radius is simply half of the diameter.

7 5/6  divide by 2 =  3 11/12

Answer:y=4x+2

Step-by-step explanation:m= rise and b=run rise /run when u look at the graph start at the pount to a count how many u rise to get to 2 then cout how many u run to get to 2 again so that would be y=4x+2.

Answer:

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The cost of one sandwich is $3.90

The cost of one deknk is $1.50

hopefully this is correct

The system of equations are

The cost of one sandwich x = $ 3.90

The cost of one drink y = $ 1.50

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the cost of one sandwich be x

Let the cost of one drink be y

Now , the equation will be

A customer ordered three sandwiches and two drinks for $14.70

So , 3x + 2y = 14.70   be equation (1)

And , Another customer bought two sandwiches and four drinks for $13.80

So , 2x + 4y = 13.80   be equation (2)

On simplifying the equations , we get

Multiply equation (1) by 2 , we get

6x + 8y = 29.4   be equation (3)

Subtracting equation (2) from equation (3) , we get

4x = 15.6

Divide by 4 on both sides of the equation , we get

x = $ 3.90

So , the cost of one sandwich is $ 3.90

And ,

Substituting the value of x in equation (1) , we get

3x + 2y = 14.70

3 ( 3.90 ) + 2y = 14.70

11.70 + 2y = 14.70

Subtracting 11.70 on both sides of the equation , we get

2y = 3

Divide by 2 on both sides of the equation , we get

y = $ 1.50

So , the cost of one drink is $ 1.50

Hence , the cost of one sandwich and one drink is $ 3.90 and $ 1.50 respectively

To learn more about equations click :

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Answer:

Where are the following expressions?

Step-by-step explanation:

Answer:

[tex] \frac{1}{8} [/tex]

Step-by-step explanation:

[tex] \bigg( \frac{1}{2} \bigg)^{x} \\ \\ (plug \: x = 3) \\ \\ = \bigg( \frac{1}{2} \bigg)^{3} \\ \\ = \frac{1}{ {2}^{3} } \\ \\ = \frac{1}{8} [/tex]

Answer: The answer is 1320 hope this is right.

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

The two triangles shown are similar (AAA: they share the angle on the right and the two other angles are corresponding and therefore equal).

Since, they're similar, the sides are in ratio to eachother:

[tex]\frac{x+(x+3)}{8+12} = \frac{x+3}{12}[/tex]

12(2x+3)=20(x+3)

24x+36=20x+60

4x=24

x=6

Answer:

Step-by-step explanation:

The slope, m, can be determined using any two points, and slope is defined as

m=(y2-y1)/(x2-x1), I’ll use (0,0) and (5,-1)

m=(-1-0)/(5-0)

m=-1/5

4^3

you can write it like 4 × 4 × 4

you can also call it "Four to the Third power". or "Four cubed".

Answer:

approx. $1.85 or $1.86 each marker

Answer:

1.85 for each

Step-by-step explanation:

Answer:

276 students

Step-by-step explanation:

36/60=0.6

Therefore, 60% of students in the random survey are planning to vote for her. Using that 60%, we can predict how many students in all will vote for her.

460(0.6)=276

That means 276 students will vote for her.

Answer:

6 markers

Step-by-step explanation:

1) Find the number of red markers

Firstly, we know that Ms. Peters has a total of 36 markers. There are 3 colours within these 36 markers. Because she has an equal number of each colour, divide 36 by 3 to find the number of red markers.

36÷3=12

Therefore, Ms. Peters has 12 red markers.

2) Find the number of red markers in each group

Ms. Peters then divides the red markers into 2 equal groups. Because we now know that there are 12 red markers, divide 12 by 2 to find this number.

12÷2=6

Therefore, there are 6 red markers in each group.

I hope this helps!

Answer:

3.75

Step-by-step explanation:

Divide 2.5 by 2 to find out what 1/3 would be, then multiply that by 3 to get your answer - 3.75 pounds of chicken are called for

Hopefully this helps- let me know if you have any questions

Answer:

$197.31

Step-by-step explanation:

Given data

Principal= $175

Rate= 4.25%

TIme= 3 years

The expression for the simple interest is given as

A=P(1+rt)

substitute

A= 175(1+0.0425*3)

A= 175(1+0.1275)

A= 175(1.1275)

A= $197.31

Hence the balance will be $197.31

Answer:

Step-by-step explanation:

The property of 30°-60°-90° :

The side opposite the 30° angle is the shortest and the length of it is equal to half of the length of the hypotinuse.

Answer: Option 2 because it's the only one with repeating x coordinates.

Answer: 63 total gummy bears

Step-by-step explanation: 37 - 16= 21. 21 is the one third she ate. So 21 x 3 give you the original amount of gummy bears which is 63

Equation= 37 - 16 x 3= 63

Let that be x

[tex]\\ \rm\rightarrowtail x/3+16=37[/tex]

[tex]\\ \rm\rightarrowtail x/3=37-16[/tex]

[tex]\\ \rm\rightarrowtail x/3=21[/tex]

[tex]\\ \rm\rightarrowtail x=21(3)[/tex]

[tex]\\ \rm\rightarrowtail x=63[/tex]

Answer:

72 mins

Step-by-step explanation:

The number of minutes Sam spent on exercising is 72 minutes. Therefore, option B is the correct answer.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is y = -0.78x + 95

Let x be the number of minutes of television Sam watched each day and y the number of minutes she spent exercising.

Here, x=30

Substitute x=30 in the given function, we get

y = -0.78(30)+95

= -23.4+95

= 71.6

≈ 72 minutes

Therefore, option B is the correct answer.

To learn more about the function visit:

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"Your question is incomplete, probably the complete question/missing part is:"

The table compares x, the number of minutes of television Sam watched each day, to y, the number of minutes she spent exercising. The function y = -0.78x + 95 models the data in the table.

Which is the best prediction for the number of minutes of exercising Sam will do if she spends 30 minutes watching television that day?

A. 45 minutes

B. 72 minutes

C. 83 minutes

D. 118 minutes

Answer:

[tex]40\frac{5}{8}mm^2[/tex]

Step-by-step explanation:

To find the area of a triangle, one must use the formula,

[tex]\frac{base*height}{2}[/tex]

It is given that

- base = [tex]9\frac{3}{4}[/tex]

-height = [tex]8\frac{1}{3}[/tex]

Substitute in the values and solve;

[tex]\frac{9\frac{3}{4}*8\frac{1}{3}}{2}[/tex]

In order to multiply the two fractions, one must convert them from mixed number form to improper fraction form. This can be done by multiplying the denominator (the number under the fraction bar), by the "number" part of the mixed number, and then adding the result to the numerator (the number over the fraction bar;

- base = [tex]9\frac{3}{4}=\frac{(9*4)+3}{4}=\frac{36+3}{4}=\frac{39}{4}[/tex]

- height = [tex]8\frac{1}{3}=\frac{(8*3)+1}{3}=\frac{24+1}{3}=\frac{25}{3}[/tex]

Substitute,

[tex]\frac{\frac{39}{4}*\frac{25}{3}}{2}[/tex]

Cross simplify,

[tex]\frac{\frac{325}{4}}{2}[/tex]

Further simplify,

[tex]\frac{325}{4}*\frac{1}{2}\\\\= \frac{325}{8}[/tex]

Convert back to a mixed number divide the numerator by the denominator, write the whole-number result as the number outside of the fraction, and the remainder as the numerator of the fraction,

[tex]40\frac{5}{8}[/tex]