Your teacher tells you that the hour hand on
an analog cl o ck will ro t ate 45 while yo u
w rite a math quiz. If the quiz starts at 9:00,
wh at time does it end? Wh at is the angle
b e t ween the starting and ending positions
of the minute hand?

Answer:

Area = 20.28 cm^2

Perimeter = 16.28 cm

Step-by-step explanation:

The figure is composed of a half circle and a rectangle,

The circle has a diameter of 7 - 2 - 1 = 4cm and the rectangle is of side 2 cm and 7 cm.

Therefore the area is :

Area = A rectangle + Acircle/2 = 2*7 + pi*r^2/2 = 20.28 cm^2

The perimeter is :

Perimiter = 1 + 2 + 7 + Pcircle/2 = 1 + 2 + 7 + 2*pi*r/2 = 16.28 cm

Answer:

part A maybe

Step-by-step explanation:

3/4+1/8 =7/8

part B

5/8 cups

Answer:

10:9

Step-by-step explanation:

Answer:

When the force exerted by one team slackens, the force exerted by their third law, each team pulls the opposite team with equal force in a tug of war.  So the two forces don't balance each other and the rope accelerates towards the stronger team.

Step-by-step explanation:

Answer:

A  =  139.25

Step-by-step explanation:

Answer:

θ=2πn1  + arcsin(24/25), n1  ∈ Z or θ=2πn2 +π−arcsin(24/25) , n2  ∈ Z

Step-by-step explanation:

Hope this helps

Step-by-step explanation:

sin A = 24 / 25

as we know that :

sin ² A + cos ²A = 1

cos ²A = 1 - sin²A

cos ²A = 1 - ( 24/25) ²

cos² A = 1 - 576 / 625

cos ²A =. 625 - 576 / 625

cos ² A. =. 49 / 625

cos A =. √ 49/ 625

cos A = 7 / 25

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Answer:

1/2

Step-by-step explanation:

just divide it I guess

1/2

48/2

=24/2

=12/2

=6/2

=3

Hope this helps :D

The answer is y = 8.5x

explanation is in the picture.

hope it helps.

Answer:

y= 8.5x

Step-by-step explanation:

Answer:

You are correct it is A. cos B

Step-by-step explanation:

Answer:

42 sweets

Step-by-step explanation:

28 / 2 = 14 x 3 = 42

Hope that helps!

Answer:

13.95 metre square

Step-by-step explanation:

The measurements you gave are different. Hence it concludes that the floor is rectangular in shape.

Sooo,

Area of rectangle = length x breadth

= 4.5×3.1 = 13.95 m^2

Hope it helped!!!

The younger sister is 10 years old and the elder sister is 15 years old.

Let's represent the present ages of the two sisters as x and y, where x is the age of the elder sister and y is the age of the younger sister.

According to the given information, the product of their present ages is 150:

x * y = 150 ---(1)

It is also stated that 5 years ago, the elder sister was twice as old as her younger sister:

x - 5 = 2 * (y - 5) ---(2)

We can now solve these two equations simultaneously to find the ages of the two sisters.

From equation (2), we can simplify:

x - 5 = 2y - 10

x = 2y - 10 + 5

x = 2y - 5

Substituting this value of x into equation (1), we have:

(2y - 5) * y = 150

2y^2 - 5y = 150

2y^2 - 5y - 150 = 0

Now we can solve this quadratic equation either by factoring, completing the square, or using the quadratic formula. By factoring, we find:

(2y + 15)(y - 10) = 0

This gives us two possible solutions for y:

2y + 15 = 0 --> y = -7.5 (Discard this since age cannot be negative)

y - 10 = 0 --> y = 10

So, the younger sister is 10 years old.

To find the elder sister's age, we can substitute this value of y into equation (2):

x = 2y - 5

x = 2 * 10 - 5

x = 20 - 5

x = 15

Therefore, the elder sister is 15 years old.

for such more question on ages

https://brainly.com/question/9142477

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Answer:

= 15/4

Step-by-step explanation:

Answer:

1. 1,446 trees 16,856 square miles

2. 99.99% 16,856 students were passed

3. 58,300,000 early voters in 2016 202.5% to 2020

4. 459 sandwiches swith to 500 sandwishes 76 turkeys to 80 turkeys is 580.80% turkeys

5. 1/5 to 5 to 1 to 1:5 right? please dont report me

Answer:

81-x=96-2x

x=15

m <1 = 66

m <2 = 66

Step-by-step explanation:

Answer:

1 square unit

Step-by-step explanation:

its easy

1 * 1 = 1

Answer:

2 2/5

Step-by-step explanation:

We need to find out how many gallons of water so,

16/20 = water

3 gallons * 16/20 = 48/20 = 2 8/20 = 2 2/5

this works because then cranberries would be:

2 2/5/16 = 15/100

and for sugar that means

15/100 * 3 = 45/100

so in total

2 40/100 + 45/100 + 15/100 = 3 gallons

and if we simpilfy 2 40/200 we get 2 2/5

Answer:

Step-by-step explanation:

[tex]t^2 \dfrac{dy}{dt}+ y^2 = ty \\ \\ t^2 \dfrac{dy}{dt}-ty = -y^2[/tex]

[tex]\text{by dividing both sides by }{y^2},\text{ we have:}[/tex]

[tex]\dfrac{t^2}{y^2}\dfrac{dy}{dt}- \dfrac{ty}{y^2}= -1[/tex]

[tex]\dfrac{t^2}{y^2}\dfrac{dy}{dt}- t\dfrac{1}{y}= -1[/tex]

[tex]\text{by dividing both sides by }t^2; \text{we have;}[/tex]

[tex]\dfrac{1}{y^2}\dfrac{dy}{dt}- \dfrac{1}{t}\dfrac{1}{y}= -\dfrac{1}{t^2}--- (i)[/tex]

[tex]Let \ v = \dfrac{1}{y}[/tex]

[tex]\dfrac{dv}{dt}= -\dfrac{1}{y^2}\dfrac{dy}{dt}[/tex]

[tex]-\dfrac{dv}{dt}= \dfrac{1}{y^2}\dfrac{dy}{dt}[/tex]

[tex]\text{replace in equation (1); we have}[/tex]

[tex]- \dfrac{dv}{dt}-\dfrac{1}{t}v = -\dfrac{1}{t^2}[/tex]

[tex]- \Big ( \dfrac{dv}{dt}+ \dfrac{1}{t}v \Big) = -\dfrac{1}{t^2}[/tex]

[tex]\dfrac{dv}{dt}+\dfrac{1}{t}v = \dfrac{1}{t^2}[/tex]

[tex]\text{relating above with} \dfrac{dv}{dt}+ P(t) v = Q(t) \text{, we have:}[/tex]

[tex]P(t) = \dfrac{1}{t} \ \ \ , \ \ \ \ Q(t) = \dfrac{1}{t^2}[/tex]

[tex]\mu (t) = e^{\int P(t) \ dt }= e ^{\int \dfrac{1}{t} \ dt}= e^{In|t|}= t[/tex]

[tex]v\mu(t) = \int \mu(t) Q(t) dt + C[/tex]

[tex]vt = \int (t) (\dfrac{1}{t^2})dt + C[/tex]

[tex]vt = \int \dfrac{1}{t}dt + C[/tex]

[tex]vt = Int+C[/tex]

[tex]v = \dfrac{In \ t + C}{t}[/tex]

[tex]\text{substitute } v = \dfrac{1}{y}}, we \ get}[/tex]

[tex]\dfrac{1}{y}=\dfrac{In \ t +C}{t}[/tex]

[tex]\mathbf{y = \dfrac{t}{In \ t + C}}[/tex]

Answer:

40.5

Step-by-step explanation:

25 + 62 x 0.25 =

25 + 15.5 =

40.5

25+62 × 0.25 = 40.5

62 × 0.25= 15.5

25 + 15.5 = 40.5

Answer:

150.80

Step-by-step explanation:

Answer:520.8

Step-by-step explanation:

Answer:

16 2x3 divided by 2 x4=12 + 2x2=16 I think hopefully this helps :)

Answer:

Rhombus

Step-by-step explanation:

Sketching out the shape shows us that it is neither a square nor rectangle (alternatively, we could tell from the points since if it was a rectangle/square, there would be two sets of x co-ordinate values and y-co-ordinate values only).

Find the length of MN:

MN²=(Yn-Ym)²+(Xn=Xm)²

MN²=(4-1)²+(3-1)²

MN²=3²+2²

MN²=9+4

MN=√13

Find the length of MP:

MP²=(Yp-Ym)²+(Xp-Xm)²

MP²=(3-1)²+(4-1)²

MP²=2²+3²

MP²=4+9

MP=√13

Since the side lengths are equal, the shape must be a rhombus.

Answer:

24 1/3

Step-by-step explanation:

long division

Answer:

2/9

Step-by-step explanation:

two e with a total of 9 letters

Answer:

D

Step by step explanation

Use synthetic division to solve. Final ending answer is [tex]3x^{2} +4x-9+\frac{8}{(x+1)}[/tex]

Answer:

Yes

(-4,-2) is a solution of a given system of equation

Step-by-step explanation:

Explanation:-

Given that the equation

                y = 2 x + 6 ..(i)

Given point (-4,-2)

substitute   x =-4 and y = -2 in equation (i)

             -2 =2(-4) +6

            -2  = -8+6

           -2 =-2

∴ The point satisfies the given equation