When you measure an angle you usually have to choose between two numbers because
protractors are designed to measure angles that start on either the right or left side.
There are two angles to measure in each of the problems on this sheet and the next. The
angle on the left side is angle A. The angle on the right side is angle B. Find and record
the measure of both angles in each problem.
1 The measure of angle A is ___
degrees.
2 The measure of angle B is ___ degrees.

Answer:

Step-by-step explanation:

The scenario describes charges as being dependent on the number of persons. That means the independent variable is the number of persons, and the dependent variable is the total charge.

(When we say "A depends on B", that automatically defines A as being the dependent variable, and B the independent variable.)

__

Additional comment

Perhaps you also want to know the relationship between the charges c and the number of persons p. That will be ...

  c = 7.80p +19.00

You know the rate per person from the fact that adding 10 people to the party raises the cost by $78. Then the 10-person charge includes a fixed fee of $97 -78 = $19.

Cylinder A can hold 6902.08 ft^3

Cylinder B can hold 5654.87 ft^3

6902.08 - 5654.87 = 1247.21

The amount that will be left over in container A is 1247.21

Answer:

B

Step-by-step explanation:

Answer:

6x^2 - 19x + 10 is the answer

Step-by-step explanation:

Lets use the FOIL method to expand,

(2x - 5)(3x -2)

2x * 3x + 2x * -2 + -5 * 3x + -5 * -2

This is the expanded version of the expression above!

here is a better way of explaining it,

(2x - 5) is the first equation now lets split it up

now its 2x and -5!

now you just multiply 2x and -5 to the second equation (3x - 2)

makes sense?

Lets Simplify it,

2x * 3x + 2x * -2 + -5 * 3x + -5 * -2

6x^2 - 4x - 15x + 10

6x^2 - 19x + 10

(tip: DON'T FORGET SAY ^2 because there are 2x's in the (2x*3x) part!)

Now you just simplify!

So as a result the answer is,

6x^2 - 19x + 10

Hope this helps :)

Answer:

Step-by-step explanation: we will first work out a

so 23 is the hypotenuse

a is the opposite

so what we need to do is 46sin(23) and that will give you 17.97 cm

next we will work out b

b is the adjacent

23 is the hypotenuse

so in this case we must do 46cos(23) and that will give you 42.34

last, we will work out B

a is 17.97 cm and its the adjacent

23 is the hypotenuse

so we do sin-1(17.97/23)= 51.38

Answer:

y =mx

Step-by-step explanation:

The second one is for the gradient

The third one is pythogras theorm

The last one is for the slope of a line(i'm not that sure about this one, sorry if its wrong)

Cathy and Iris have 259,459,200 ways to skip countries.

Data;

To solve this problem, we would have to use a mathematical procedure known as combination.

Let us calculate the number of countries that would have to skip.

[tex]13 - 9 = 4[/tex]

To decide which country they have to skip, it would be 4 out of 13.

[tex]x = ^1^3C_4 = \frac{13!}{4!}[/tex]

Let's solve this

[tex]\frac{13!}{4!} = \frac{13*12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\ \frac{13!}{4!} = 13*12*11*10*9*8*7*6*5 = 259459200 ways[/tex]

Cathy and Iris have 259,459,200 ways to skip countries.

Learn more on combination here;

https://brainly.com/question/12468032

Answer:

h(3) = 1

Step-by-step explanation:

See attached image.

Answer:

https://brainly.com/question/7699717

Step-by-step explanation:

The volume of the cone is [tex]\frac{1}{3} \pi r^{2} h[/tex]

Volume =  [tex]\frac{1}{3} \pi *(3)^{2} *12 = 113.04ft^3[/tex]

Hope that helps!

The income of the amusement park is a function of the price of the ticket

The entry price that will result in no income is $24

The expression for the income is given as:

[tex]96x - 4x^2[/tex]

When the income is 0, we have the following equation

[tex]96x - 4x^2 = 0[/tex]

Factor out 4x

[tex]4x(24 - x) = 0[/tex]

Split the equation

4x = 0 or 24 - x = 0

Solve for x

x = 0 or x = 24

This means that, the entry price that will result in no income is $24

Read more about income and expenses at:

https://brainly.com/question/13628349

Answer:

36 is the answer !!

Step-by-step explanation:

9(4)-(4(2) + 2(5))

36-8+10

26+10

36

Answer:

f(x)_x^3x+2+1

f(x)=3x+3

g(x)_4x

Ali gets £10

Beth gets £25

Step-by-step explanation:

The amount is divided into 7 equal parts since 2+5=7.

since Ali's name comes first, he gets 2 of the parts as the 2 is the first number in the ratio. Beth gets 5 parts, since her name is the second.

share the £35 between the 7 parts by dividing 35 by 7.

35÷7=5

Ali gets 5× £2= £10

Beth gets 5×£5 =£25

5×5=25 (Beth's portion)

Answer:

about 11 boys were on the track team last year.

Answer:

you have 1

you get 2

2+1=3

You now have 3 apples :)

Hey!

you have 3 apples.

2+1 is 3.

a function set does not contain any X-repeats, or namely that the x-coordinate on every pair is different, let's take a peek at these sets, Check the picture below.

Answer:

T=50.99

Step-by-step explanation:

Given:

I=3,875.78

P=1,900

R=4% I.e 4/100 , 0.04

T=?

I=PRT

3,875.79=($1,900)(0.04)t

3,875.79=76t

3,875.79/76= t

T=50.99

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

Work Shown:

area = 0.5*side1*side2*sin(angle)

area = 0.5*13*7.5*sin(94)

area = 48.6312474501664

area = 48.6 square inches

Notes:

Answer: 48.6

Step-by-step explanation:

i took the test

Answer:

The answer is A.

Step-by-step explanation:

Took it on Edge (:

Answer: 22.5

Explanation: from P the radii of length r are perpendicular to xz, xy, and yz and all the same.

if draw it with your compass your see a certain symmetry

call the tangent point on xz Q and the one on xy S

triangle XQP is congruent to XSP and is a right triangle

the two angles at x are 22.5 degrees

so PQ = PS = 4 tan 22.5

Answer:

2

Step-by-step explanation:

The side length of the preimage is 4.5 and the side length of the image is 9. Since scale factor is image/preimage, the scale factor is 9/4.5 = 2

Answer:

lateral area and area without one side: 20.8

Answer:

-21 and 8

Step-by-step explanation:

-21 × 8 = -168 and -21 + 8 = -13

Hope this helps!

Answer:

inflation?

Step-by-step explanation:

nothing here

Answer:

that would be an example of inflation.

I noticed your question was not complete, so I hope this helps you as much as possible.

The box plot showing the five-number summary of the data in the dot plot is shown in the image attached below (see attachment).

A box plot shows the five-number summary of a data distribution which includes:

To create a a box plot for the data, we need to state out each data point given in the dot plot, which are:

2.3, 2.4, 2.4, 2.5, 2.6, 2.6, 2.7, 2.7, 2.8, 2.8

The five-number summary of the data points stated above would be:

Therefore, the box plot showing the five-number summary of the data in the dot plot is shown in the image attached below (see attachment).

Learn more about box plot on:

https://brainly.com/question/14277132

Answer:

other guy is right

Step-by-step explanation:

Step-by-step explanation:

for number 8. The slope is -3 because the standard form equation is y=mx+c. And we know that m represents your slope.

Hence why it is -3.

For number 10. The slope is 0. I Forgot to write that on the pic

:)

Answer: T= 3/2

Step-by-step explanation:  t(t+4)-1=t(t+2)+2 simplify into t2+4t−1=t2+2t+2 now subtract t^2=t2+4t−1−t2=t2+2t+2−t2 subtract 2t(both sides)  4t−1=2t+2 2t−1=2=2t−1=2 now add 1 to both sides = 2t−1+1=2+1 than 2t=3 now divide by 2(both sides)= T= 3/2

Answer:

164 cm²

Step-by-step explanation:

Take the 2 shapes and find the areas

Triangle area = (bh)/2

                          13 × 8 × 0.5 = 52

Rectangle area = 16 × 7 = 112

Add up the areas

112 + 52 = 164

Answer:

136 cm²

Step-by-step explanation:

The composite figure is made up of a triangle and a rectangle.

Area of the triangle

[tex]\boxed{\begin{aligned}\textsf{Area of a triangle}&=\dfrac{1}{2} \times \sf base \times height\\\\ \implies \textsf{Area of $\triangle ABD$}&=\dfrac{1}{2} \times BD \times AB\\&=\dfrac{1}{2} \times (16-8) \times (13-7)\\&=\dfrac{1}{2} \times 8 \times 6\\&=4 \times 6\\&=24\; \sf cm^2\end{aligned}}[/tex]

Area of the rectangle

[tex]\boxed{\begin{aligned}\textsf{Area of a rectangle}&=\sf width \times length\\\\ \implies \textsf{Area of rectangle $BCFE$}&= EF \times CF\\&=7 \times 16\\&=112\; \sf cm^2\end{aligned}}[/tex]

Therefore, the area of the composite figure is:

[tex]\boxed{\begin{aligned}\textsf{Area of the composite figure}&=\sf Triangle + Rectangle\\ & = 24 + 112\\&=136\; \sf cm^2\end{aligned}}[/tex]

Answer: 6 cups

Step-by-step explanation:

multiple the 1 1/2 by 4