The ceiling of Stacy's living room is a square that is 22 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 22 ft, but she doesn't know how long it is.

Solve for the length of the diagonal of Stacy's ceiling in two ways:

(a) Using the Pythagorean Theorem.

(b) Using trigonometry.

Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!)

Answer:

applying absolute law

if |u|=a, a>0 then u=a or u=-a

2x+5=15 or 2x+5=-15

2x=15-5 or 2x=-15-5

2x=10 or 2x=-20

x=5 or x= -10

Answer:

6

Step-by-step explanation:

Answer:

-7240

Step-by-step explanation:

The nth term is -10n + 24.

So the combination of the first and second term would be (-10+24)+(-10x2+24) and this would continue for the first 40 terms so the 24s would add up to 24x40=960. Meanwhile, the -10s would keep adding up so it would be -10-20-30-40.... which you can simplify by making it -10(1+2+3+4) all the way to 40 to make the calculation easier... u can further simplify by making 41 = one pair of numbers so 40+1, 39+2 until you get 21+20 so ur left with -10(20 pairs of 41) so -10(20x41) = -10(820)= -8200.

Add this to your initial 960 so

-8200 +960 = -7240

Hope this helps

Answer:

htrtrheherh

Step-by-step explanation:

Answer:

  C.  The equation has two valid solutions

Step-by-step explanation:

A rational equation like this is often solved by "cross-multiplying" to eliminate the fractions. When we do that, we get ...

  4(2x+10) = x(3x+1) . . . . . . . multiply both sides by (3x+1)(2x+10)

  3x² -7x -40 = 0 . . . . . . . . . . rearrange to standard form

  3x² -15x +8x -40 = 0 . . . . . . separate -7 into factors of 3(-40)

  3x(x -5) +8(x -5) = 0 . . . . . factor pairs of terms

  (3x +8)(x -5) = 0 . . . . . . . finish factoring

The zeros of these factors are not zeros of the original denominators, so neither of the solutions these give is extraneous.

  3x +8 = 0   ⇒   x = -8/3

  x -5 = 0   ⇒   x = 5

Answer:

3.56 you little silly dum dum girl

Answer:

A. 3.56

Step-by-step explanation:

I didnt take his answer my big brain knew the answer.

Answer:

4x-4 < -76

Step-by-step explanation:

Four times a number (x), minus 4, is less than -76.

Answer:

x is less than —18

Step-by-step explanation:

Check out the attached photo

Answer:

>

Step-by-step explanation:

its because 56.72 is greater than 5.672

Answer:

56.72 > 5.672

Step-by-step explanation:

> means greater than

< means less than

so 56.72 is greater than (>) 5.672

Hi!

We are asked to find the ratio.

A ratio is a relationship/comparison between two or more numbers based on their numerical value.

We know that, for every 2 triangles there are 6 circles. We can set up our ratio to look like this:

[tex]\cfrac{2}{6}[/tex]

---

(NOTE: there are many different ways to write ratios, including: "x:y", "x to y", or "x/y")

---

The question asks us to write it in simplest form. The fraction [tex]\cfrac{2}{6}[/tex] is NOT in simplest form. It can be simplified to:

[tex]\cfrac{1}{3}[/tex]

This is the ratio in simplest form.

For another example, see:

https://brainly.com/question/24266834

Answer:

Step-by-step explanation; zero point fittyfour

Answer:

you can say fifty four hundredths, or simpler, zero point fifty four, or even simpler, zero point five four ( I recommend fifty four hundredths)

Answer:

Equation: N = 2M, Shen needs to read 26 novels in 13 months

Step-by-step explanation:

Given : Shen needs to read 2 novels each month.

i.e. In One month , the number of novels read by Shen = 2

Let N be the number of novels Shen needs to read in M months.

Then , N = 2 M

Thus , the equation relating N to M : N = 2 M

If Number of months = 13 , then put M = 13 in the above equations , we get

N = 2(13) = 26

Hence, the number of novels he read in 13 months = 26.

Answer:

15 pounds of beans costs 12 dollars

Step-by-step explanation:

(15,12)  Means 15 pounds of beans costs 12 dollars

The first coordinate is the x value which is pounds and the second coordinate is the y value which is dollars

Answer:

Step-by-step explanation:

Negative value has least value.

Answer:

76.54 ft

Step-by-step explanation:

Pythagorean theorem

37^2 + 67^2  = d^2

d = 76.54 ft

Step-by-step explanation:

It's just asking you to rewrite it in vertex form. Which would be

[tex](x + 10) ^{2} - 4[/tex]

Answer:

See below for answers and explanations

Step-by-step explanation:

The leading term is the term with the highest degree, in this case, 5y³

The leading coefficient is the number in front of the leading term, 5

The constant term is a term with no variables contained, in this case, -1

Answer:

Total Platform = 128 ft^3

Step-by-step explanation:

Volume = Length * Width * Height

Left Volume: 2 ft * 4 ft * 3 ft = 24 ft^3

Mid Volume: 4 ft * 4 ft * 5 ft = 80 ft^3

Right Volume: 2 ft * 4 ft * 3 ft = 24 ft^3

Total Volume = 24 ft^3 + 80 ft^3 + 24 ft^3 = 128 ft^3

Answer:

v = [tex]108^{3}[/tex]

Step-by-step explanation:

I'd start with breaking the platform into two parts, the long flat rectangle and then the bit on top. You'll have to add these together at the end!

_________________

So part one: the long piece

formula: v = lwh

dimensions: 12, 3, 2

plug in: v = 12 * 3 * 2

solve: v = 72^3

_________________

part two: smaller rectangle on top ::

formula: v = lwh

dimensions: 4, 3, 3

plug in: v = 4 * 3 * 3

solve:v = 36*3

__________________

now, we add for the total of the entire shape!

final answer: 72 + 36 = 108^3

Answer:

47%

Step-by-step explanation:

First we need to find the ratio of masks on Jack's wall to the total number of masks, which is 235/500. Now we need to make the denominator 100 in order to find the percentage by dividing the numerator and denominator by 5 to get 47/100. Therefore the percentage of Jack's mask collection that is on his wall is 47%.

Answer:

what about this 0=20

Step-by-step explanation:

so x=2 right there for

(-3)2+6=(2)-24

-6+6=4-24

0=20

Answer:

60

Step-by-step explanation:

hope this helps loves x

Answer:

Step-by-step explanation:

60

Big

Bubble

Hub

Be

Answer:

Below!

Step-by-step explanation:

Let us consider that 16 + 4 and 2(2w+8) are equal. Then;

This equation can be solved in two ways. Listed below!

Method 1:

Let's simplify the left-hand-side of the equation.

Then, divide "2" both sides of the equation to open the parentheses.

Subtract 8 to both sides of the equation to isolate the variable (w) and it's coefficient.

Finally, divide 2 to both sides of the equation to isolate the variable (w).

Therefore, 16 + 4 and 2(2w + 8) can be equal if the value of "w" is 1.

Method 2:

Let's simplify the left-hand-side of the equation.

Then, simplify the distributive property to open the parentheses.

Subtract 16 to both sides of the equation to isolate the variable and it's coefficient.

Finally, divide 4 to both sides of the equation to isolate the variable (w).

As said in method 1, 16 + 4 and 2(2w + 8) can be equal if the value of "w" is 1.

Answer:

Step-by-step explanation:

Step-by-step explanation:

3 units down

(-1,3)- (-1,0) 3 units down in y coordinate

and so on

Answer:

C

Step-by-step explanation:

Answer:

9,12,15

Step-by-step explanation:

I just looked at the different pythagorean triples and saw which set has a difference of 6 between the largest and smallest and a difference of 3 between the first and second one.

Here are the first few pythagorean triples:

3,4,5

6,8,10

7,24,25

5,12,13

9,12,15 - This is our answer

Hope this helped and brainliest please

Answer:

Step-by-step explanation:

1. 60                    11. 33  km

2. 500            12. 200 km

3. 5                       13. 67.5 km

4. 20                       14.  600 km

5. 9                   15. 30 km

                                          16. a.400 km

6. 2                                      17. c. 216 km

7. 4

8.5

9. 3

10.5

Answer:

Option B, [tex]x =[/tex] ± [tex]9.49[/tex]

Step-by-step explanation:

Step 1:  Add 90 to both sides

[tex]x^2 - 90 = 0[/tex]

[tex]x^2 - 90 + 90 = 0 + 90[/tex]

[tex]x^2 = 90[/tex]

Step 2:  Square root both sides

[tex]\sqrt{x^2} = \sqrt{90}[/tex]

[tex]x =[/tex] ± [tex]9.49[/tex]

Answer: Option B, [tex]x =[/tex] ± [tex]9.49[/tex]

Answer:

y = -x/5 - 3

Step-by-step explanation:

Slope intercept form: y = mx + b

x + 5y = -15

5y = -15 - x

y = -15/5 -x/5

y = -x/5 - 3