what is the measure of the angle in question?

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:

2

Step-by-step explanation:

5 and 7 are the coefficients if you need them

6

−

x

=

5

x

+

30

6

-

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

-

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:

80-20=60f

Step-by-step explanation:

Answer:

he gave you the wrong answer

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

Formula to find slope is y2-y1/x2-x1

Chose one ordered pair to be the 2 and the other one to be the 1

I chose the 2nd one to be 2.

Plug in the y-value from the 2nd ordered pair to y2 because its the 2.

Plug in the x-value from the 2nd ordered pair to x2 because its the 2.

Now you have 0-y1/5-x1

Do the same thing but for the 1.

Plug in the y-value from the 1st ordered pair to y1 because its the 1.

Plug in the x-value from the 1st ordered pair to x1 because its the 1.

Now you have 0-5/5--5

In this situation, you have 2 minus signs.

2 minus = 1 positive.

Now you have 0-5/5+5

Simplify.

Now you have -5/10.

Simplify.

-1/2.

Hope this helps!

Answer: 3

Step-by-step explanation: 9/3=3

Answer:

( D )Each sandwich has 2 pounds of ham.

Answer:

1/2 of ham

Step-by-step explanation:

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)

Answer:

30° , 170°

Step-by-step explanation:

Let the remaining two angles be 3x & 17x. As it is a quadrilateral , the sum of all the angles of quadrilateral is 360°. So,

[tex]3x + 17x + 60 + 100 = 360[/tex]

[tex] = > 20x + 160 = 360[/tex]

[tex] = > 20x = 360 - 160 = 200[/tex]

[tex] = > x = \frac{200}{20} = 10[/tex]

Putting the value of x , remaining angles are

(3×10 = 30°) & (17×10 = 170°)

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

[tex]log_{\frac{1}{2} }8=-log_{2}8=-log_{2} (2^{3})=-3[/tex]

Answer:

-3

Step-by-step explanation:

i forgot how to do the log thingy but the guy on top is also correct

Answer:

1500%

Step-by-step explanation:

The formula for Percentage increase is

Increase/ Initial Amount × 100

Increase = Current Amount - Initial Amount

Increase = $320,000 - $20,000

Increase = $300,000

Percentage Increase =

$300,000/$20,000 × 100

= 1500%

The percent increase in home value in those 50 years is 1500%

Answer:

C.{(-3,10),(-2,5),(1,2),(-2,-4)}

Answer:

The answer is B

Hope this helps

Answer:

The first answer

Explanation:

Ok I added an explanation lol-

So B is incorrect. It gets confused. 332/4 simplified isn't 1/83, but it's 83/1 (aka 83)

C doesn't even make sense 6-6

And D isn't 5 2/5 it's 7 2/5

Answer:8

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

8+8=16

16-8=8

[][][][][][]

Answer: =17x

Step-by-step explanation: hope this help, hope you understand it too.

Let's simplify step-by-step.

2x+5x+10x

Combine Like Terms:

=2x+5x+10x

=(2x+5x+10x)

=17x

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:

Step-by-step explanation:

85-x=100

85 represents sarah's hw

x represent Emily's hw

100 represents total completion

Answer:

85 + x

C is the answer

Step-by-step explanation:

Answer:

$33

Step-by-step explanation:

Hope this helps!

Answer:

I believe it is yes because he is correct

Answer:

i think it is not related

Step-by-step explanation:

hope this helps <3

Answer: nope

Step-by-step explanation:

Answer:

I believe the output is f(6) is -1, the output of f(2) is -4, and f(x)=-4 has the outputs of  2, 4, 8, and 10.

I think.

Answer:

b = 4

Step-by-step explanation:

Try setting up the equation of the pythagorean theorem.

hypotenuse^2 = leg(a)^2 + leg(b)^2

c^2 = a^2+b^2

Now substitute what you know and solve for the unknown.

5^2 = 3^2+b^2

25 = 9 + b^2

b^2 = 25-9 = 16

b = 4.

19/16 or 1 3/16 :D I hope this helped u

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:

(C) 48 ft^3

Step-by-step explanation:

Volume=L*W*H=6*4*2=24*2=48, making the correct choice (C) 48 ft^3