Rationalize the denominator and simplify √a + 2√y/√a-2√y

Answer:

dα /dt  = -  0.028 rad /sec     or  dα /dt  = - 1.59 °

El signo menos significa que el angulo va decresiendo

Step-by-step explanation:

La escalera, la pared vertical y el pié de la escalera y la pared forman un triangulo rectangulo. En ese triangulo

cos α   (  α  angulo que forma la escalera con el piso )

cos α =   x / L

Tomando derivadas con respecto al tiempo (L es constante ) se tiene:

- sen α  *  dα / dt   =  dx/ dt / L

Cuando  el extremo superior de la escalera está a 18 pies del piso, entonces  sen α  =  18 / 30  =  0.6

dx/dt = 1/2 pie/sec

dα/dt  = - (1/2)/ L* 0.6

dα /dt  = -  0.5 / 18

dα /dt  = -  0.028 rad /sec     or  dα /dt  = - 1.59 °

El signo menos significa que el angulo va decresiendo

Answer:

18 times

Step-by-step explanation:

Number of even numbers on spinner = 3

Total number of sections on spinner = 8

Probability of obtaining an even number on one spin = 3/8

Number of times an even number can be obtained from 48 spins = 3/8 * 48 = 18 times

Answer:

6.28meters

it is the aswer if wrong please tell me

Answer:

148.5 in^2

Step-by-step explanation:

First, get the area of the rectangle

A = 15*12

A = 180

Now the area of the triangle, with the base at 3.5

A = h b/2

A = 9 * 3.5/2

A = 15.75

Since you have 2 halves, add them together., 31.5

Substract 31.5 from 180

Answer:

180 in

Step-by-step explanation:

Because if you multiply 15×12 it gives you 180

Answer:

18 is the answer

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Answer:

B.

Step-by-step explanation:

y = mx + b

y = 2x

Answer:

42cm^3

Step-by-step explanation:

Given data

Area of base= 14 square centimeters,

Height= 3 centimeters

Volume = Area* Height

Volume= 14*3

Volume= 42 cm^3

Hence the volume of the prism is 42cm^3

Answer:

3 x 36 = 108 (square prism's volume)

3 x 9 = 27, 27 divided by 2 ( x 1/2) = 13.5, 13.5 x 4 = 54

2 x 18 x 3 = 108

6 x 3 = 18, 18 x 2 = 32

Your answer is b, because it has the volume of 108 which matches the square prism's volume.

Answer:

m∠3 = 73°

Step-by-step explanation:

Vertical angles are equivalent in measure. Complement angles add up to 90°, so subtract 17° from 90° to get your answer.

Answer:

16.8 cups

Step-by-step explanation:

3.5 percent of 30 gallons

Answer:

You would receive $13.75

Step-by-step explanation: What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.

I hope this helps and makes sense to you. Please mark brainlist!

Step-by-step explanation:

Answer:

You would receive $13.75

Step-by-step explanation:

What i did was divided 7.50 by 6 so it would give me the price of 1 bagel(1.25).I subtracted 11 and 6 which would give me 5 so I know how much I need to calculate with the discount. Then I multiplyed 5 times 1.25 (6.25) so I could get the price for 5 bagels. After I added 7.50 and 6.25 which would give you your answer of $13.75.

Hope u understand

Please mark brainliest

Thank You

Answer:

40percent

Step-by-step explanation:

30-12-6 is 12

12/30 times 100 is 40

Answer:

Screenshot of graph image.

Step-by-step explanation:

Correction to the previous answer. You need to graph the line.

Extra Information:

The Linear Equation Is [tex]y=\frac{2}{3} x+-4[/tex]

The Slope Is [tex]\frac{2}{3}[/tex]

The Y Intercept Is -4

Answer:

2. xy is odd

Step-by-step explanation:

We can represent the two odd numbers as 2a + 1(x) and 2b + 1(y).

1. x + y is odd

We can add x + y:

2a + 1 + 2b + 1

2a + 2b + 2

From this, we can factor out 2:

2(a + b + 2)

Since 2 is a factor, the number x + y cannot be odd.

2. xy is odd:

We can multiply x and y:

(2a + 1)(2b + 1)

4ab + 2a + 2b + 1

From the first three terms, we can factor out 2:

2(2ab + a + b) + 1

We can say that 2(2ab + a + b) is an even number because it has a factor of 2. We are adding one to it, and one added to any even number is odd, so xy is odd.

We do not need to calculate further because we have already found an answer.

Answer:

Step-by-step explanation:

1) P= 64 cm, width = x, length = 14 + x

64 = x + x + 14 + x + 14 + x

64 = 4x + 28

4x = 64 - 28

4x = 36

x = 36/ 4

x = 9

AREA = 9 x (9+14)

Area = 9 x 23

Area = 207 cm

2) smaller no. = y, bigger no. = x

x - y = 3

2x+1/2y=36

Next, multiply 2 to first equation and find y:

2x-2y=6

5/2y=30

y = 12

Substitue y to x-y=3 to find x,

x = 15

3) x = pencil, y = pen

5x + 4y = $6.15

8x + 3y = 9.85$

8x + 7y = ?

5x + 4y = 6.15$ multiply both sides by -3

8x + 3y = 9.85$ multiply both sides by 4

-15x + 32x = (-3)*6.15 + 4*9.85

7x = 19.87 multiply both sides by 8/7

8x = (8/7) x 19.87

Add both equations:

32y - 15y = 8x6.15 - 5*9.58

17y = 1.3

y = 91/17) x 1.3

7y = (7/17)x 1.3

8x + 7y = (8/7) x 19.87 + (7/17) x 1.3

8x + 7y = $23.244

4) 2l + 2w = 0

2 x 2l + 2 x 1/2w = 40 + 16

l+w = 20

4l+w = 56

I’ve got l = 12 and w = 8

5) answer:   28.56 feet (approx)

step-by-step explanation:

since, triangle abc has measure of angle c equal to 55 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 20 feet.

we have to find out the measurement of segment ab.

therefore, tan 55° = \frac{ab}{bc}

but bc = 20 feet.

⇒ tan 55 ° =   \frac{ab}{20}

⇒ ab = 20 × tan 55 °

⇒ ab = 20 × 1.42814800674

⇒ ab = 28.5629601348   ≈ 28.56 feet

6) The answer is teh attachment !

7) 3x-x+2=4

HOPE THE ANSWERS HELP!! PL MARK ME BRAINLIEST!

Answer:

2/4 cup

Step-by-step explanation:

Unsweetened cocoa powder needed = 3/4 cup

Unsweetened cocoa powder borrowed = 1/4 cup

how much of his own cocoa powder did he have?

Let

x = Unsweetened cocoa powder Mr kacanich has

Unsweetened cocoa powder needed = Unsweetened cocoa powder Mr kacanich has + Unsweetened cocoa powder borrowed

3/4 = x + 1/4

Subtract 1/4 from both sides

3/4 - 1/4 = x + 1/4 - 1/4

3/4 - 1/4 = x

x = (3-1)/4

x = 2/4 cup

Answer:

-3 + 8a

Step-by-step explanation:

multiply 3 by -1 as well as -8a by -1 and you'll get -3 + 8a

Answer:

-5

Step-by-step explanation:

x=-3-2

x=-5

+2 GOES ON RIGHT AND IT BECOMES -2 And then -×-is=+but 3 is greater so the sign becomes-

Answer:

A    4^15 * 5^10

Step-by-step explanation:

When moving to the other side of a fration the exponent changes sign

4^3 / 5^-2 = 4^3 * 5^2

When taking an exponent to anexponet, multiply the exponents

(4^3 * 5^2)^5 = 4^15 * 5^10

Answer A

Answer:

g(x) = (2x)²

Step-by-step explanation:

Answer:

$4.50x = $127.50 - $87

x = $40.50 / $4.50

x = 9

Step-by-step explanation:

The amount she can spend on bracelets is the total amount she wants to spend less the cost of the shirt

$4.50x = $127.50 - $87

4.50x = 40.50

divide bot side by 4.5

x = 9

Answer:

Hi there user! I'll help you!

96 should be the correct answer!

Step-by-step explanation:

4 x 3 = 12

4 x 7 = 28

5 x 7 = 35

3 x 7 = 21

12 + 28 + 35 + 21 = 96

Answer:

The answer would be d

Step-by-step explanation:

Answer:

Step-by-step explanation:

3^(-5) is equivalent to:

    1

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 3^5