The figure shows a blueprint of a dining room, kitchen, and living room. Each square has a side length of 1/4 inch. Hardwood floors cost $11 per square foot. What is the cost of hardwood flooring for the dining room?​

Answer:

[tex]a =7[/tex]   [tex]b = 2[/tex]  [tex]c = -4[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x}{x + 2} + \frac{4x}{x - 2} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Required

Find a, b and c

[tex]\frac{3x}{x + 2} + \frac{4x}{x - 2} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Take LCM

[tex]\frac{3x(x -2) + 4x(x+2)}{(x + 2)(x - 2)} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Expand

[tex]\frac{3x^2 -6x + 4x^2+8x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]

Collect like terms

[tex]\frac{3x^2 + 4x^2-6x+8x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]

[tex]\frac{7x^2+2x}{x^2 - 4} = \frac{ax^2 + bx}{x^2 + c}[/tex]

By direct comparison:

[tex]ax^2= 7x^2 \to a = 7[/tex]

[tex]bx = 2x \to b = 2[/tex]

[tex]-4 = c \to c = -4[/tex]

Answer:

see below

Step-by-step explanation:   5 20 11 04

countthe number of cookie symbols for each day

2 + 4 + 3 + 5 + 6         each cookie symbol represents 3 dozen

(2 + 4 + 3 + 5 + 6) × 3  

it looks like they sold 20 × 3 on Moday through Friday     60 dozen cookies

The store wants to sell 95 dozen

How many more dozens do they need to sell?

Cookie Sell Goal  - Cookie dozen already sold  =  remaining dozen to sell

            95          -              60       =       ______  dozen left to sell

Answer:

10 11 12 13 14 15 16 17 18 19

10 10 11 12 13 14 15 16 17 18 19  

Step-by-step explanation:

Answer:

-3/5

Step-by-step explanation:

Given :-

And we need to find the value of sine for this angle. Therefore we can say that , Base = 16 units and Perpendicular = 12 units . So Using Pyhthagoras Theorem , we can find hypontenuse.

Using Pythagoras Theorem :-

[tex]:\implies[/tex] h² = p² + b²

[tex]:\implies[/tex] h² = 16² + 12²

[tex]:\implies[/tex] h² = 256 + 144

[tex]:\implies[/tex] h² = 400

[tex]:\implies[/tex] h = 20 u

Therefore the sine will be :-

[tex]:\implies[/tex] sinθ = p/h

[tex]:\implies[/tex] sinθ = 12/20

[tex]:\implies[/tex] sinθ = 3/5

[tex]:\implies[/tex] sinθ = -3/5

Therefore the value of sine is -3/5.

Answer:

Yes; That what I got In my studies and lessons

Answer:

1.09

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

1057.89 feet

Step-by-step explanation:

Trig time! Start with a diagram and listing out your trig functions, either mentally or on paper. SOH CAH TOA

The best trig function for this problem is likely tan:

tan84.6 = height / 100

100 * tan 84.6 = height

height = 1057.89 feet

Answer:

30?

Step-by-step explanation:

I think its 30 because 15*2 is 30 but I really don't know im sorry

Answer:

c

Step-by-step explanation:

Answer:

64 cars

Step-by-step explanation:

total number of cars that the parking lot can hold = 8/3 × 24 = 64 cars

9514 1404 393

Answer:

  x = 150

Step-by-step explanation:

The sum of the exterior angles of a convex polygon is 360°.

  65° +80° +72° +(x -7)° = 360°

  x = 150 . . . . . . divide by °, subtract 210

Answer:

B

Step-by-step explanation:

multiply each coordinate by 5

Answer:

784

Step-by-step explanation:

Mark as Brainliest

P.S

other person is wrong

Answer:

i think its b but im not 100 percent sure...

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is d

Answer:

Height of the arch at distances of​ 10, 30, and 50 feet from the center is as follow:

Put x = 10 we get

the value of y = 0.695

Put x = 30

the vale of y = 6.26

Put x = 50

the value of y = 17.37

Step-by-step explanation:

The prabolic arch for bridge has span of 120 feet and height f 25 feet. The rectangular corordinate system is

such as

height = h = 25

Distance = x

(x-h) = -4a(y-k)

x² = -4ay

60 = -4a(-25) and

where the value of a =36

therefor the parabolic arch is

x = -144y

For distance of 10 , 20 and 30 let take the feet from center then we have

put x = 10 we get

10² = -144 y

100 / 144 = y

the value of y = 0.695

Put x = 30

30² = -144y

30/144 = y

the vale of y = 6.26

Put x = 50

50² = -144 y

50/144 = y

the value of y = 17.37

Answer:

D

Step by Step Explaination:

w5 * z13

z6 * w2

=

w^5 * z^13

w^2 * z^6

=w3 * z7

9514 1404 393

Answer:

  x = 8

  y = 4sqrt(3)

Step-by-step explanation:

Your knowledge of special triangles tells you the side ratios of a 30°-60°-90° right triangle are ...

  1 : √3 : 2 = 4 : y : x

Multiplying the reduced ratios by 4 gives ...

  4 : y : x = 4 : 4√3 : 8

That is, ...

  x = 8

  y = 4√3

Answer: √7 = 2.6

1. 2.6 > 2 V

2. 2.6 > 7 X

3. 2.6 < 8 V

4. √8 = 2.8 2.8 < 2 X

5. 2.8 <8 V

Step-by-step explanation:

V: mean correct

X: mean wrong

This question is incomplete, the complete question is;

In the game of Pick-A-Ball without replacement, there are 10 colored balls: 5 red, 2 white, and 3 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen.

Now, close your eyes! Reach into the bucket, and pick a ball. (Click the red Pick-A-Ball! icon to simulate reaching into the bucket and drawing your ball.)

a) What is the probability of selecting the color of ball that you just selected? (Round your answer to four decimal places.)

Don't put your first ball back into the bucket. Now reach in ( again no peeking ), and pick your second ball. ( Click the red Pick-A-Ball icon to simulate reaching into the bucket and select your next ball.)

b) What is the probability of selecting the color of the ball you selected. ( Enter the answer in decimal format to 4 decimal places ).

Answer:

a) the probability of selecting the color of ball ( RED ) that you just selected is 0.5000

b) the probability of selecting the color of the ball ( BLUE ) I selected is 0.3333

Step-by-step explanation:

Given that;

We have a total of 10 colored balls  in a small bucket.

Number of Red balls = 5

Number of White balls = 2

Number of blue balls = 3.

Now, assuming I clicked on the red Pick-A-Ball icon to simulate reaching into the bucket and picking a ball.

Also, Assuming that the color of ball that appeared is Red.

Then the probability of selecting the color of ball ( RED ) that I just selected will be;

P( selected Color ) = Number of Red balls / Total number of balls in the bucket

P( selected Color )  = 5 / 10 = 0.5000

Therefore, the probability of selecting the color of ball ( RED ) that I selected is 0.5000

b)

It is said that the game is Pick-A-Ball without replacement.

So assuming I went on and clicked on the red Pick-A-Ball icon to simulate picking a second ball.

Also, Assuming that the color of ball that appeared was blue.

Then the probability of selecting the color of ball ( BLUE ) that I just selected will be;

P( selected Color ) = Number of Blue balls / Total number of balls in the bucket

Now, since I picked the first ball without replacement, i.e I did not return it back to the bucket, The total number of balls left in the bucket now is 9.

so; P( selected Color ) = 3 / 9 = 0.3333

Therefore, the probability of selecting the color of the ball ( BLUE ) I selected is 0.3333

Answer:

18

Step-by-step explanation:

You have to divide both sides by 12 inorder to remain with the f on the other side since you want to find the value of f.

12f/12=216/12

F=18

I hope this helps

Answer:

3 / 4

Step-by-step explanation:

We can realize that both the numerator and denominator have a common factor of 9. We can divide them both by 9 to get:

3 / 4

This fraction is in simplest form.

Answer:

3/4

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

at this rate

mealworm crawl 0.35 m in 1 minute