Jasmine is trying to replace the flooring in her rectangular bedroom. When she measured the width and length of the floor, she found that the length is 5 ft. longer than the width. If the perimeter of the room is 50 ft., how much flooring will she need to replace the existing flooring in her room?

Answer:

[tex]\displaystyle 9,6[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{6,4} = csc\:42 \hookrightarrow 6,4cot\:42 = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]

OR

[tex]\displaystyle \frac{6,4}{x} = sin\:42 \hookrightarrow xsin\:42 = 6,4 \hookrightarrow \frac{6,4}{sin\:42} = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

In this equation x=18

Work Shown:

5x-12=3x+24

Add 12 to both sides

5x-12+12=3x+24+12

Simplify

5x=3x+36

Subtract 3x from both sides

5x-3x=3x+36-3x

Simplify

2x=36

Divide both sides by two

2x/2 = 36/2

Simplify

x=18

Answer:

x=18

Step-by-step explanation:

1. Add 12 to both sides

5x-12 +12 = 3x+24 +12

2. Simplify

5x=3x+36

3. Subtract -3x from both sides

5x-3x=3x+36-3x

4. Simplify

2x=36

5. Divide both sides by same factor (2)

2x/2=36/2

6. Simplify

ANSWER: x=18

Hey there!

These are the factors of 12:

1, 2, 3, 4, 6, 12

These are the factors that add up to 7:

6+1

3+4

These are the factors of 12 that add up to 7 and multiply to 12:

3 & 4

Hope everything is clear.

Let me know if you have any questions!

Always remember:  Knowledge is power!

Answer:

160°

Step-by-step explanation:

Minor Arc NR is equal to the measure of its central angle, S.

S and 20 are supplementary angles, so they add up to 180.

So, s +20 =180

S = 160, so NR = 160 as well

Answer:

A) 1.7

B) 4.5

C) 7.8

Answer:

what does the -514 relate with 11/12?

Step-by-step explanation:

11/12 written as a decimal is .91

Answer:

It would be -514.916 with a _ over the six.

Step-by-step explanation:

11/12 is equal to 0.916666, where the six goes on forever. This is called a repeating decimal. In a repeating decimal, you would put this symbol _ over the number that repeats, in this case, 6. Or you would round, but that"s not given in this question.

Here the common ratio is -5

next terms will be 375 and -1875

Answer:

The first one: 13.125 ft³

The second one: 67.5 ft³

Step-by-step explanation:

For the first one:

The volume of a prism is length x width x height.

So, in this shape, the length is 3 1/2, the width is 2 1/2, and the height is 1 1/2.

However, you can conver 1/2 to .5, to make it easier to multiply.

So, 3.5 x 2.5 x 1.5 = 13.125

Make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3  dimensional.

For the second one, same formula:

Length = 6, width = 2 1/2, and height = 4 1/2

6 x 2.5 x 4.5 = 67.5

Again, make sure to add ft³, the ft is the unit, feet, and the ³ is used to denote volume, because volume is 3 dimensional.

Answer:

13.125 [tex]ft^{3}[/tex]

Step-by-step explanation:

Volume is base * length * height.

In this case, the dimensions are 1.5, 3.5, and 2.5.

Assuming these values are the base, length, and height,

1.5 * 3.5 * 2.5 = 13.125 [tex]ft^{3}[/tex].

Also, using the volume formula, the bottom shape's volume is 67.5 [tex]ft^{3}[/tex].

Hope this helps!

Also, please mark as brainliest!

Answer:

See below ↓

Step-by-step explanation:

Given side lengths :

This question can be solved in two ways :

Case 1

Case 2

Hope it helps~

Unit conversion is a way of converting some common units into another. The cost of buying 0.45 pounds of Lily's tea is $144.93.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that one gram is equivalent to 0.035273 ounces, while 1 pound is equal to 16 ounces. Therefore, if we convert 0.45 pounds to grams,

Pounds to Ounces

[tex]\rm 1\ pound = 16\ ounces\\\\0.45\ pounds = 0.45 \times 16 = 7.2\ ounces[/tex]

Grams to Ounces

[tex]\rm 1\ gram = 0.035273\ ounces\\\\1 ounce=\dfrac{1}{0.035273} = 28.35\ grams\\\\7.2\ ounces = 7.20 \times 28.35 = 204.12\ grams[/tex]

Since it is given that the cost of 1 gram of tea is $0.71, therefore, the cost of 204.12 grams of tea can be written as,

[tex]\rm Total\ cost= 204.12 \times \$0.71 = \$144.93[/tex]

Hence, the cost of buying 0.45 pounds of Lily's tea is $144.93.

Learn more about Units conversion:

https://brainly.com/question/4736731

Answer:

B

Step-by-step explanation:

-4+4=0

If the temperature starts at -4 four and increases by 4, the temperature will be 0.

Answer:

There are 45 stamps from Africa

Step-by-step explanation:

10% of 150 is 15

30% of 150 is 45

15*3 = 45

Answer:

5

Step-by-step explanation:

5/8 times 7 is 35/8. Round that to the nearest integer up and you get 5.

Step-by-step explanation:

x+134=180(straight angle)

x=46

Answer:

Choice D.

Outlier

Answer: 4

Step-by-step explanation:

It sounds like you want to know how many pounds of coffee Latoya bought. First, let's figure out how much she spent. Subtract the amount she has left from the amount she started out with:

90 - 57.68 = 32.32

Latoya spent $32.32 on coffee. Since it cost $8.08 per pound, we can divide the total cost by 8.08 to figure out how many pounds she bought:

32.32/8.08 = 4

Answer:

29 square root or 5.39

Step-by-step explanation:

Answer:

5.39 units.

Step-by-step explanation:

Distance = √(-8-(-3))^2 + (5-7)^2)

= √((-5)^2 + (-2)^2)

= √(25+ 4)

= √(29)

= 5.39.

Answer: NaN

Step-by-step explanation: The square root of a complex number can be determined using a formula. Just like the square root of a natural number comes in pairs (Square root of x2 is x and -x), the square root of complex number a + ib is given by √(a + ib) = ±(x + iy), where x and y are real numbers.

http://www.math.com/students/calculators/source/square-root.htm

that's the website I used

You can also maybe do it on a scientific calculator?

Hope that's helpful

Answer:

B  12

Step-by-step explanation:

4 x 6 = 24 divided by 2 = 12

Answer:

35.4

Step-by-step explanation:

divide 72.8 by 6.5 to get the other two sides. Then you will have all four sides. From there you can add all four sides. 6.5 + 6.5 + 11.2 + 11.2 = 35.4. Hope that helps!

Answer:

4/8 or 1/2

Step-by-step explanation:

Convert all size to x/8

1/4=2/8 and 1/2=4/8

Multiply size of beaker by how many there are filled

1/8 * 2= 2/8

2/8*7= 14/8

4/8*3 =12/8

then add all of them together = 28/8

convert 4 liters to 32/8

Subtract 32/8 - 28/8 = 4/8

Answer:

$5

10 Dimes = $1 so If we have 50 dimes that = 5$

Please mark brainliest trying to level up :)

Answer: B. 24

Step-by-step explanation:

8 / 1/3 =

8 * 3 +

24

Answer:

24

Step-by-step explanation:

8 divided by 1/3=24

1/3x4=1 1/3

1/3x12=4

1/3x24=8

1/3x20=7 1/3

Hey there!

Solving

3x - 4 = 5

Add 4 to both sides

3x - 4 + 4 = 5 + 4

3x = 9

x = 9/3

x = 3

Equivalent expressions are:

1. 3x = 9

2. 3x - 4 + 4 = 5 + 4

3. 4 = 5 - 3x

If you're confused about the last one

Solving

−4=5−3x

Step 1: Simplify both sides of the equation.

−4=5−3x

−4=5+−3x

−4=−3x+5

Step 2: Flip the equation.

−3x+5=−4

Step 3: Subtract 5 from both sides.

−3x+5−5=−4−5

−3x=−9

Step 4: Divide both sides by -3.

−3x/−3 = −9/−3

x=3 (Still the same answer)

Answer:

Step-by-step explanation:

Cos(R) = adjacent / hypotenuse

Adjacent is the side connected to the angle

Adjacent = 12

Hypotenuse = 13

Cos(R) = 12 / 13 = .9231

Now you find R by taking the inverse cos of (R). On most calculators it is 2nd function cos

R = cos-1(0.9231)

Answer: R = 22.62 degrees

[tex]\\ \rm\Rrightarrow sinR=\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\\ \rm\Rrightarrow sinR=\dfrac{5}{13}[/tex]

[tex]\\ \rm\Rrightarrow sinR=0.38[/tex]

[tex]\\ \rm\Rrightarrow R=sin^{-1}(0.38)[/tex]

[tex]\\ \rm\Rrightarrow R=22.33°[/tex]

Answer:

it’s B

Step-by-step explanation:

Answer: The answer to the question is option A

Step-by-step explanation:

Answer:

I would pick a, the estimated total to the nearest dollar is 38

Step-by-step explanation:

13.95 rounded is 14

23.50 rounded is 24

24+14=38

Answer:

180.06

Step-by-step explanation:

We first need to sustitue x and y for the time workd on saturday and sunday :)

10.75(1.5)(4.5) + 10.75(2)(5)

Now we multpily in order!!

10.75(1.5)(4.5) + 10.75(2)(5)

72.56 + 10.75(2)(5)

72.56 + 107.50

Now we add!!

72.56 + 107.50

180.06

Your answer is 180.06 :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

Step-by-step explanation:

Simply put, it is similar to finding the area of a circle.

Therefore, a=pi*r^2

a=pi*23^2

a=529pi

a=1661.9 ft^2