One side length of a rectangle is 1/3 of a foot. The second length is 1 2/3 times the length of the first. Find the area of the rectangle.

The maximum value of n (A ∩ B) occurs when A ⊂ B (i.e. when A is a subset of B), in which case A ∩ B = A, and so max{n (A ∩ B)} = n (A) = 11.

You want to try and get rid of one of the variables ( x or y) so you would multiply the second equation by 2 which would make the x variable -2x which then when added to the first equation would eliminate the x variable.

Answer: c. Multiply the second equation by 2.

Answer:

she saves $24 dollars every month. 36 + 24 =60 +24 =84 +24 =108 +24 =132 :)

Answer:

The percentage is 81.35% (2.d.p)

Step-by-step explanation:

[tex]\frac{169.2}{208}[/tex] x 100 = 81.34615285

Question 10

Draw a 30-60-90 triangle template. Refer to the diagram below.

We have 1 as the short leg, 2 as the hypotenuse and sqrt(3) as the long leg.

Place the angle theta as the reference angle such that it's opposite the sqrt(3) side.

That allows tan(theta) = sqrt(3)/1 = opposite/adjacent

In other words, tan(60) = sqrt(3)/1

So theta = 60 is one solution. We add on 180 to get the other solution. So the other solution is 60+180 = 240

So tan(60) = tan(240) = sqrt(3)

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

Question 11a

sin(theta) = -0.8

theta = arcsin(-0.8) or theta = 180-arcsin(-0.8)

theta = -53.1301  or theta = 180 - (-53.1301)

theta = -53.1301  or theta = 233.1301

Add 360 to the first angle to find a coterminal angle counterpart.

-53.1301 + 360 = 306.8699

So the two approximate solutions are

theta = 306.8699  or theta = 233.1301

and those round to 306.9 and 233.1 respectively.

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

Question 11b

cot(theta) = 1.8

tan(theta) = 1/(1.8)

theta = arctan( 1/(1.8) )  or theta = 180+arctan( 1/(1.8) )

theta =  29.0546 or theta = 180+29.0546

theta = 29.0546 or theta = 209.0546

theta = 29.1 or theta = 209.1

Answer:

filtration system is not working

filtration

Answer:

  x = 3

Step-by-step explanation:

A vertical line has undefined slope. Its equation is of the form x=c, for some constant c.

To make sure the line passes through a point with an x-coordinate of 3, the constant in the equation must be 3:

  x = 3 . . . . . . vertical line through (3, -7)

Answer:

B

-10-10=20

10+10=20

20/20=0

Answer:

[tex]\displaystyle m = \frac{22}{9}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (1, 3)

Point (10, 25)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

c

Step-by-step explanation:

Answer:

5,310.

Step-by-step explanation:

Answer:

3690

Step-by-step explanation:

Simplify 18% to 0.18

4500-(4500×0.18)

4500-810

=3690

Answer:

Mathematics includes the study of such topics as quantity, structure, space, and change; It has no generally accepted definition.

Step-by-step explanation:

Answer:

Mathematics is like the study of numbers and relationships I guess.

Step-by-step explanation:

All branches of math seems to use relationships or numbers, whether it be ratios for Algebra, geometry stuff like SinCosSine and Tangent.

Basic Arthimetics seems to use ratios when counting, or patterns, ect.

hope it is help full

Step-by-step explanation:

mark me a brainlist

Does the answer help you?

Answer:

hypotenuse = 13

shortest side = 5

third side = 12

Step-by-step explanation:

Given sides a, b, and c, with c representing the hypotenuse of a right triangle, we can say that

a²+b² = c² using the Pythagorean Theorem.

We are given that the hypotenuse (c) = 8 cm more than the shortest side. Representing the shortest side as a, we can say that c= 8 + a. Then, the third side, which we can represent as b, is 1cm shorter than the hypotenuse, so c-1 = b

c= 8+a

c-1 = b

a²+b² = c²

One thing we can do is to solve for everything in terms of c and solve the third equation from there

c= 8+a

subtract 8 from both sides

c-8 = a

a²+b² = c²

(c-8)²+b² =c²

b = c-1

(c-8)² + (c-1)² = c²

expand

c²-16c + 64 + c² - 2c + 1 = c²

2c² - 18c + 65 = c²

subtract c² from both sides to make this an equation that we can more easily solve

c² - 18c + 65 = 0

To factor, we can find two numbers that add to (-18) and multiply to 65. Two numbers that work at 13 and 5, so we have

c²-13c-5c + 65 = 0

c(c-13) -5(c-13) = 0

(c-5)(c-13) = 0

Therefore, the hypotenuse, or c, is 5 or 13. Because a=c-8, if c=5, a would be negative 3. This is not possible, so c cannot be 5. Therefore, c=13, a=c-8=5, and b=c-1= 12

The method is Dr. Perry most likely to use is Participatory action research.

Participatory action research is a type of research characterized by :

Additionally, in this type of research, the community involved is treated as researchers and their contributions are taken into account in the result of the same.

According to the above, the type of research suitable for Dr Perry's study is participatory action research, since it includes all the factors that Dr Perry takes into account for her research such as quantitavie/qualitative method and active participation from the community involved.

On the other hand, case study, naturalistic observation, and focus group are not the correct options because they use other methods in which the studied community does not actively participate.

Learn more in: https://brainly.com/question/15930435

Note:

This question is incomplete because the options are missing. Here are the options.

A. Case study

B. Naturalistic observation

C. Participatory action research

D. Focus group

Answer:

The radius vector is (-8, 7) and (-1 , 5).

Step-by-step explanation:

Determine the radius vector of the midpoint of the segment that is formed by joining the points (-8, 7) and (6, 3).

The end points are (- 8, 7) and (6, 3) .

The mid point is given by

[tex]x = \frac{x' + x''}{2}\\\\y = \frac{y' +y''}{2}\\\\x =\frac{- 8 + 6}{2}=-1\\\\y = \frac{7+3}{2} = 5[/tex]

So, the radius vector is (-8, 7) and (-1 , 5).  

Answer:

try D

Step-by-step explanation:

Answer:

Step-by-step explanation:

The numbers from 1 to 9999 can be shown in the form of:

Each of x, y, z represent the digits from 0 to 9, so 10 ways each.

For each of the forms we have:

Total of:

By the way this is applicable to any digit.

Max number of digits=4

Their can be 4ways to represent

Each form can repeat 3

Total repeating

100÷50000 can be written as 100/50000, then cancel out 2 of the zeroes, and you will get 1/500 or 0.002 as your final answer.

Answer:

The equation would be y=m-2+6

Step-by-step explanation:

Have a great day :)

Answer:

264 Km²

Step-by-step explanation:

cross sectional perimeter of the triangular prism= 9+8+7= 24Km

now,

total surface area= C.S.P × height of the figure

= 24 × 11

= 264 km²

Answer:

let x be the complementary angle

then x + 2 is the angle

x+2 +x =90

2x = 88

x = 44°

x + 2° = 46°

Answer:

see below

Step-by-step explanation:

           x+5

y = ----------------------

        x^2 - 2x+1

Since the degree of numerator < degree of denominator ( 1 < 2) there is a horizontal  asymptote: y = 0

Answer:

30 lamps

Step-by-step explanation:

30*2= 60

49 - 2/3 x = 32 - 1/6 x

Move the constant terms to one side and the terms containing x to the other:

49 - 32 = 2/3 x - 1/6 x

Simplify the left side, and pull out the common factor of x on the right side:

17 = (2/3 - 1/6) x

Write the fractions in terms of a common denominator. In this case, you would take

2/3 = 4/6

so that

(2/3 - 1/6) x = (4/6 - 1/6) x = 3/6 x = 1/2 x

Then the equation is

17 = 1/2 x

Multiply both sides by 2:

2 × 17 = 2 × 1/2 x

34 = x

Answer:

the negative just tell you you put a one over the number. Once that's done, the power will be positive, and you can square like normal

Are you asking about  [tex]7^{-2}[/tex]  ?

If so:

A negative in the exponent tells us that we must take the reciprocal of the number, in this case, 7, and then use the exponent like normal:

[tex]7^{-2}[/tex] =

[tex](\frac{1}{7})^{2}[/tex] =

[tex]\frac{1}{49}[/tex],

So our answer is 1/49.

Hey there! I'm happy to help!

When dealing with picking things and finding the number of possibilities, we can be dealing with two different types of things: permutations or combinations. We use permutations when order is important to the groups and we use combinations if order is not important.

It appears here that order is not important here as the subcommittee doesn't have to be in a specific order, so we will be using combinations.

So, we have ten seventh graders to choose from. Then we will have 9, and then 8. So, we multiply these numbers of choices.

10×9×8=720

Now, we need to divide by 6. This is to show that order doesn't matter. Why? Because there are  6 possible ways to organize 3 seats on the committee (3×2×1), and we want to divide out all of the different orders so it is just the specific group of people and not their different organizations that are counted.

720/6=120

Now, we need to find this with the eighth graders.

8×7×6=336

And we divide by the number of seats factorial (3 seats for the eighth graders, so 3×2×1=6 again)

336/6=56

Now, we multiply our numbers for seventh and eighth graders to find all off the possibilities.

120×56=6720

So, there are 6720 subcommittees possible.

Have a wonderful day and keep on learning! :D

Answer:

C x=8

Step-by-step explanation:

Chúc bạn ngày mới tốt lành

Answer:

A. 6.75, divide 13.5 by 2.

B. It's 5.2, 26.2 rounded is 26 and 4.5 rounded is 5, divide. The average is 5.8 , 26.2 divide by 4.5

!This is the first part!

Answer:

biomass energy (such as ethanol), hydropower, geothermal power, wind energy, and solar energy.