Use the figure to find the measures of the numbered angles. ∠5 = ∠6 =

Answer:

Activity 1:-

1) Pi (π) is the ratio of circumference and the diameter of the circle which is 22/7. So

[tex]\frac{c}{d} =\pi = \frac{22}{7}[/tex]

[tex]=> c = \frac{22}{7} d[/tex] where circumference is directly proportional to diameter (d).

2) Area of a parallelogram = Altitude × Base

Base = 10 cm. So ,

[tex]A = 10a[/tex] where area (A) is directly proportional to altitude (a).

3) Let the fare of 1 unit distance be f

So, for distance d , total fare (F) will be [tex]F = fd[/tex] where total fare (F) is directly proportional to distance (d).

4) Let the distance be 'D' , speed be 's' & time be 't' .

We know that [tex]s = \frac{D}{t}[/tex] where speed (s) is directly proportional to distance (D) & inversely proportional to time (t).

5) We know that area of a square (A) = side² (s²)

[tex]=> A = s^{2}[/tex] where area(A) is directly proportional to side(s).

Activity 2:-

1) p is directly proportional to sum of u & w.

⇒ p ∝ u + w

⇒ p = k (u + w)

Putting the values of p , u & w

⇒ 14 = k(4 + 3)

⇒ 7k = 14

⇒ k = 14/7 = 2

2) r is directly proportional to square of t.

⇒ r ∝ t²

⇒ r = k × t²

Putting the values of r & t

⇒ 16 = k × 16²

⇒ k = 16² ÷ 16 = 16

3) y is directly proportional to cube root of x.

⇒ y ∝ ∛x

⇒ y = k × ∛x

Putting the values of x & y ,

⇒ 2 = k × ∛27

⇒ 3k = 2

⇒ k = 2/3

4) z is directly proportional to cube of d.

⇒ z ∝ d³

⇒ z = k × d³

Putting the values of d & z ,

⇒ 5 = k × 2³

⇒ 8k = 5

⇒ k = 5/8

5) Total Surface Area (SA) is directly proportional to square of the sides (s).

⇒ SA ∝ s²

⇒ SA = k × s²

Putting the values of SA & s ,

⇒ 96 = k × 4²

⇒ 16k = 96

⇒ k = 96/16 = 6

Answer:

The coffee shop sells 12 cups/hour.

Step-by-step explanation:

To figure this out you would divide the amount of cups (48) by the amount of hours (4)

9514 1404 393

Answer:

 $6.56

Step-by-step explanation:

The value is found by multiplying:

  32% of $20.51 = 0.32 × $20.51 = $6.5632 ≈ $6.56

Answer:

2/2 has a ratio equivalent to 1

3/6 has a ratio equivalent to 0.5

Step-by-step explanation:

Answer: 65

Step-by-step explanation:

Answer:

wut

Step-by-step explanation:

Answer:

3,250

Step-by-step explanation:

Let's go from left to right, using multiple of 12 times a power of 10 in the process.

What is the closest multiple of 12,000 (12 * 10^3) to 39,000 without going over? That's 3 (36,000). That's the thousands digit in this answer.

12,000 * 3 = 36000

39000 - 36000 = 3000

What's the closest multiple of 1,200 (12 * 10^2) to 3,000 without going over? That's 2 (2,400). That's the hundreds digit.

1,200 * 2 = 2,400

3,000 - 2,400 = 600

What is the multiple of 120 (12 * 10) closest to 600 without going over? That's 5 (600, it's even!). That's the tens digit. Since it goes evenly, 0 is the ones digit.

120 * 5 = 600

600 - 600 = 0.

The answer to 39,000 over 12 is 3,250.

Answer:

y=2x or "A" is correct

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Unit rate means that the denominator of the units has to be 1: units have to be miles/1 hour

Thus divide miles by hours to get the unit rate. The answer would then be 7/2 miles/1 hour

Answer:

well keep trying president seems better than last one good luck finding a partner

Step-by-step explanation:

Answer:

i think it is not related

Step-by-step explanation:

hope this helps <3

Answer:

Without the greenhouse effect, the Earth would have an average temperature of -18 °C and be covered in ice.

Step-by-step explanation:

Answer: $45

Step-by-step explanation: 10 for the hour she scrubbed the floor half of that which is 5 for the half hour she scrubbed so that would be $15, then 7.50 times 4 for the hours she dusted which would be 30, and 30 plus 15 is 45

Answer:

the answer is 6 ft hope it helps

The maximum height, in feet, of a ladder she can buy to fit through the door is, 6.7 feet

The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.

We have to given that;

The shed in Stephanie’s back yard has a door that measures 6 feet high and 3 feet wide.

Now, By using Pythagoras theorem;

The length of a ladder she can buy to fit through the door is, x

⇒ x² = 6² + 3²

⇒ x² = 36 + 9

⇒ x² = 45

⇒ x = √ 45

⇒ x = 6.7 feet

Thus, The maximum height, in feet, of a ladder she can buy to fit through the door is, 6.7 feet

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

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6

−

x

=

5

x

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30

6

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x

=

5

x

+

30

Move all terms containing

x

x

to the left side of the equation.

Tap for more steps...

6

−

6

x

=

30

6

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6

x

=

30

Move all terms not containing

x

x

to the right side of the equation.

Tap for more steps...

−6x=24-6x= 24 Divide each term by −6-6 and simplify. x=−4

Answer:

The measure of C is 123°

The measure of B is 57

PLEAZE CORRECT IT OUT IM SORRY

Answer:

25

Step-by-step explanation:

because 25 is %25 of 100

Answer:

25

Step-by-step explanation:

25% is 25 pieces out of 100 (cent). This means 25 corresponds to 25%. Another answer could be .25, but that is not there.

Answer:

Step-by-step explanation:

Answer:

8/12 and 6/12

Step-by-step explanation:

Hope this helps!

Answer:8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8+8=16

16-8=8

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Answer:

-3a^2 + 3a +7

Step-by-step explanation:

Hopefully, this is what you're looking for

I just simplified it :)

Answer:

i simplified it

Step-by-step explanation:

-3a^2 + 3a +7

Answer:

16 m

Step-by-step explanation:

Answer:

16 meters

Step-by-step explanation:

Answer: nope

Step-by-step explanation:

Answer:

80-20=60f

Step-by-step explanation:

Answer:

he gave you the wrong answer

Step-by-step explanation:

Answer:

it looks like it is completely factored out to me at least there is a high possibility I am wrong because that looks complicated I wish I could help

Answer: 6

The factors of 6 are 1,2,3 and 6

Answer:

-10 degrees C

Step-by-step explanation: