Emily wants to make a scale drawing of her kitchen. Her kitchen is a rectangle with a length of 6m and a width of 2m. She decides on a scale of 1cm to 0.5m. If the kitchen door is 1.2m wide, how wide should the door be on the scale drawing? Be sure to include units

Answer:

7.74 feet (approximate is 8 feet)

Step-by-step explanation:

Radius of the circle is r = 6/2 = 3

Area of the circle is A = π x 3^2 = 9π = 28.26

Area of the square = 6^2 = 36

Remaining board area = 36 - 28.26 = 7.74

Hope this helps! <3

Answer:

-3x + y = 8 and 3y = 9x

Step-by-step explanation:

Answer:

hatdogkajsidnevwjqo

Answer:

24/8 or 3

Step-by-step explanation:

19/8 + 5/8

=> 19 + 5 / 8

=> 24/8

=> 3

If my answer helped, kindly mark me as the brainliest!!

Thanks!!

Answer:

Since 80 and 40 are both divisible by 40 and 10, 40 and 10 are factors of both 80 and 40.

Step-by-step explanation:

Step-by-step explanation:

5 - 3n

I think sooooooo

Answer:

[tex]\displaystyle \frac{dx}{d\theta}=5\text{ ft/rad}[/tex]

Step-by-step explanation:

Please refer to the diagram below.

We can use the sine function. Recall that the sine function is the ratio between the opposite side and the hypotenuse. Hence:

[tex]\displaystyle \sin(\theta)=\frac{x}{10}[/tex]

We want to find how fast x changes with respect to θ. So, we want to find dx/dθ. Therefore, let's take the derivative of both sides with respect to θ:

[tex]\displaystyle \frac{d}{d\theta}[\sin(\theta)]=\frac{d}{d\theta}\left[\frac{1}{10}x\right][/tex]

Differentiate. Since it's with respect to θ, we can differentiate the left-hand side like normal. On the right, we will implicitly differentiate. This yields:

[tex]\displaystyle \cos(\theta)=\frac{1}{10}\frac{dx}{d\theta}[/tex]

Multiply both sides by 10. So, dx/dθ is:

[tex]\displaystyle \frac{dx}{d\theta}=10\cos(\theta)[/tex]

We want to find dx/dθ when θ is π/3. Thus, substitute π/3 for θ:

[tex]\displaystyle \frac{dx}{d\theta}=10\cos\left(\frac{\pi}{3}\right)[/tex]

Evaluate:

[tex]\displaystyle \frac{dx}{d\theta}=10\left(\frac{1}{2}\right)=5\text{ ft/rad}[/tex]

So, x is changing with respect to θ at a rate of 5 feet per radian.

Answer:

Its irrational since it’s never ending

Step-by-step explanation:

rational numbers are usually perfect squares and since that’s repeating it’s not A erfect square instead its irrational since it never ends

Answer:

0.584... is irrational

Step-by-step explanation:

This is because the decimal can't be made into a ratio or fraction because it doesn't terminate.

Answer:

The correct option is;

y = arcsinx and y = arctanx

Step-by-step explanation:

The given options are;

1) y = arcsinx and y = arccosx

Here, we have at the origin, where x = 0,  arccosx ≈ 1.57 while arcsinx = 0

Therefore arccosx does not intersect arcsinx at the origin for it to be symmetrical to arcsinx or the origin

2)  y = arccosxy and y = arctanx

Here arctanx = 0 when x = 0 and arcos x = 1.57 when x = 0 therefore, they are not symmetrical

3) y = arctanx and y = arccotx

Similarly, At x = 0, arccotx = 1.57 therefore, they are not symmetrical

4) y = arcsinx and y = arctanx

Both functions arcsinx and arctanx pass through the origin and their shapes are similar but inverted as they go from negative to positive.

The function are symmetric with respect to the origin is y = arcsinx and y = arctanx and this can be determined by using the trigonometric property.

The following steps can be used in order to determine which functions are symmetric with respect to the origin:

Step 1 - Check all the options given in order to determine which functions are symmetric with respect to the origin.

Step 2 - Substitute (x = 0) in option a), that is:

[tex]\rm y = sin^{-1}(0)=0[/tex]

[tex]\rm y = cos^{-1}(0)=1.57[/tex]

Step 3 - Substitute (x = 0) in option b), that is:

[tex]\rm y = cos^{-1}(0)=1.57[/tex]

[tex]\rm y = tan^{-1}(0)=0[/tex]

Step 4 - Substitute (x = 0) in option c), that is:

[tex]\rm y = tan^{-1}(0)=0[/tex]

[tex]\rm y = cot^{-1}(0)=1.57[/tex]

Step 5 - Substitute (x = 0) in option d), that is:

[tex]\rm y = tan^{-1}(0)=0[/tex]

[tex]\rm y = sin^{-1}(0)=0[/tex]

For more information, refer to the link given below:

https://brainly.com/question/13710437

Answer:

$126

Step-by-step explanation:

Well first you would have to see how much the total sale of 700 chocolate bars is,

700*1.20=$840

Next you need to multiply the 15% thats going to club shirts,

$840*0.15=126

So your answer is $126

Answer:

74t+(-24x)

Step-by-step explanation:

Answer:

the answer would most likely be A

Step-by-step explanation:

Answer:

the answer is b

Step-by-step explanation:

Answer:

5m-4

Step-by-step explanation:

The product of 5 and a number is written as 5(m) <--- any variable you chose.

The solution is 4 less than 5m.

So: 5m-4

Hope this helps ^^

See Explanation

Step-by-step explanation:

[tex] \begin{bmatrix} 1 & 2 \\ 3 & 4 \end{bmatrix} \\ \\ = 4 \times 1 - 3 \times 2 \\ \\ = 4 - 6 \\ \\ = - 2[/tex]

[tex] \begin{bmatrix} 4 & 2 & 6 \\ - 1 & - 4 & 5\\ 3 & 7 & 2 \end{bmatrix} \\ \\

=4(-4\times 2-5\times 7)\\ -2(-1\times 2-5\times 3)\\ +6(-1\times 7-(-4)\times 3)\\\\

= 4(-8-35) -2(-2-15) \\+6(-7+12)\\\\

= 4(-43) -2(-17) +6(5)\\\\

= - 172 + 34 + 30\\\\

= 64 - 172\\\\

= - 108 \\[/tex]

Answer:

(x-3)(x-2)

Step-by-step explanation:

none cause you dont want one

Answer:

The answer is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

It is going by two's but with negative numbers so if we go backwards it would be -6, -4, -2, then the blue dot which would be 0.

Answer:

1: x= 3

2:x=12

3:x= 6.7

4:x=3.6

Answer:

17

Step-by-step explanation:

I hope this helps!

Answer:

.175 tons

Step-by-step explanation:

350 pounds converts to .175 tons.

Answer:

2x-  5/3x  -7/3

Step-by-step explanation:

yeah

Answer:

18 pieces of cheese

Step-by-step explanation:

3 slices x 6 grilled cheeses = 18 slices of cheese

Answer:

60,72 - 12

45,81 - 9

Answer:

She paid $5.25

Step-by-step explanation:

You would multiply 15 times 0.65 and then subtract that from 15 or you could multiply 15 times 0.35 because 100-65 is 35.

Answer:

y=2x+5

Step-by-step explanation:

0,5

0,7

7-5 is 2

2/0 is 2

to check answer:

(2*0)+5

0+5

=5

See attachment for math work and answer.

Answer:

30

Step-by-step explanation:

For the minimum free throws, he must put every throw to the basket.

So, let n be the number of throws for Tuesday, in which all the throws are successful.

So, over both the days, total free throws he makes= 15+n.

Total numbers of throws that went in the basket= 6+n.

As he wants at least 80% of his balls to go in the basket.

So, 6+n is greater than or equal to 809% of 15+n, i.e

[tex]6+n\geq \frac{80}{100}\times (15+n)[/tex]

[tex]\Rightarrow 30+5n\geq 60+4n[/tex]

[tex]\Rightarrow n\geq 30.[/tex]

Hence, the minimum number of free throws required on Tuesday to reach his goal is 30.