1. In a class of students the ratio of the number of students who like to play football and the number of students who like to play volleyball is 5:3. If the number of students who like volleyball only is 15 and the number of students who like football only is 35, then a. Find the number of students who like both games. ​

Answer:

420 is the answer

hope it helps

Step-by-step explanation:

plz mark me brainleast

Answer:

10 yrs

Step-by-step explanation:

Juan is 5 yrs now, mom is 35.

add 10 yrs to both the ages

juan is 15 and mom is 45

15 x 3=45

Answer:

Mass = 1.3 Kilograms.

Step-by-step explanation:

Given the following data;

Force = 55.1 N

Acceleration = 41.6 m/s²

To find the mass of the stone in kg;

Newton's Second Law of Motion states that the acceleration of a physical object is directly proportional to the net force acting on the physical object and inversely proportional to its mass.

Mathematically, it is given by the formula;

Force = mass * acceleration

Substituting into the formula, we have;

55.1 = mass * 41.6

[tex] Mass = \frac {55.1}{41.6} [/tex]

Mass = 1.3 Kilograms

Multiply the top equation and the bottom by 7.

Answer:

The answer is D: Multiply the top equation by 3 and the bottom equation by 4

Step-by-step explanation:

when you do that, the coefficients for the x on the top and bottom equations both become 12, so you would have to subtract the 2 equations to get rid of x.

Answer: The measure of angle 4 is 95 degrees.

Step-by-step explanation:

Knowing that the lines are parallel that means the alternate exterior angles are congruent. The alternate exterior angle of the angle marked with 95 degrees is angle 1. That means angle one is 95 degrees. Angle 1 and Angle 4 are vertical angles. All vertical angles are congruent so this mean angle 4 is also 95 degrees.

Answer:

y=-12x-x

Step-by-step explanation:

y=mx + b

m=slope

m = -12

slope = rise / run -12/1

Answer:

The height of the triangle is [tex]6[/tex] cm.

Step-by-step explanation:

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The formula for solving the area of a triangle is  [tex]A=\frac{1}{2}bh[/tex] where [tex]b[/tex] stands for base and [tex]h[/tex] stands for height.

Let's substitute 30 [tex]cm^2[/tex] for the area and 10 for the base.

[tex]30=\frac{1}{2} (10)h[/tex]

-------------------->>>>

Now, let's solve to find the height.

[tex]30=\frac{1}{2}(10)h[/tex]

Multiply [tex]\frac{1}{2}[/tex] times [tex]10[/tex]

[tex]30=5h[/tex]

Divide both sides by 5.

[tex]6=h[/tex]

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Hope this is helpful.

Answer:

6 cm

Step-by-step explanation:

thanks for the pts

✌️❤️✌️

Answer:

√2π / 4

Step-by-step explanation:

Answer:

[tex]slop = \frac{2 - 1}{2 - 0} = \frac{1}{2} \\ for \: point \: x = 0 \: y = 1 \\ y - 1 = \frac{1}{2} \times (x - 0) \\ y = \frac{1}{2} x + 1[/tex]

9514 1404 393

Answer:

  ∠B = 40°  or  140°

Step-by-step explanation:

The given angle is opposite the shortest of the given sides, so there are two possible solutions.

From the law of sines, ...

  B = arcsin(b/a·sin(A)) = arcsin(9/7·sin(30°)) = arcsin(9/14)

Possible values for angle B are ...

  B = arcsin(9/14) ≈ 40.0°

  B = 180° -arcsin(9/14) ≈ 140.0°

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Explanation:

Point H is at (-2,2) and J is at (4,-2)

Focusing on the x coordinates, the midpoint is (x1+x2)/2 = (-2+4)/2 = 1.

The y coordinates have a midpoint of (y1+y2)/2 = (2+(-2))/2 = 0.

The midpoint is at (1,0). That's why the answer is choice C.

--------------------------

This next section is optional.

Points I and K are located at (4,3) and (-2,-3) respectively

Averaging the x coordinates gets us (x1+x2)/2 = (4+(-2))/2 = 1

Doing the same for the y coordinates gets us (y1+y2)/2 = (3+(-3))/2 = 0

We end up with the same midpoint (1,0)

The midpoint being the same for both diagonals proves that each diagonal is bisected, ie cut in half.

Answer:

C is the correct answer

Step-by-step explanation:

Answer:

5ff5yvy hh h

Step-by-step explanation:

ctvtvh j h h h j

Answer:

Last option,

is correct (☑️)

Answer:The distance from the school to the theater = 18 units

Step-by-step explanation:

Distance between (a,b) and (c,d) = [tex]\sqrt{(d-b)^2+(c-a)^2}[/tex] units.

Given: On a map of a town a school is located (-6, 3) and a movie theater is located (-6, -15).

So, distance between (-6, 3) and(-6, -15) = [tex]\sqrt{(-6-(-6))^2+(-15-3)^2}[/tex]

[tex]=\sqrt{0^2+(-18)^2}\\\\=\sqrt{18^2}\\\\=18\ units[/tex]

Hence, the distance from the school to the theater = 18 units

Answer:

also, Marie = 1/2

Answer:

The area will be 2 times the old area.

Step-by-step explanation:

When you double something, that means you multiply it by 2, therefor it will be 2 times the old area.

Answer:

option 3

Step-by-step explanation:

Length = 5 m, Base = 3 m

Area = Length x Base

       = 5 x 3

       = 15 m²

Base is double = 2 x 3 = 6 m

Length remains same = 5m

New Area = Length x Base

               = 5 x 6

               = 30 m²

The new Area is increase by 2 times the old Area .

Answer:

Area = 97.4 cm²

Step-by-step explanation:

a = 15 cm

        [tex]Area = \frac{ \sqrt 3}{4} a^2\\[/tex]

                 [tex]=\frac{\sqrt 3}{ 4 } \times 15^2\\\\=\frac{\sqrt 3}{ 4 } \times 225\\\\= 97.4 \ cm^2[/tex]

Answer:

1. (4,1,2,3,5)

Step-by-step explanation:

Since all the members of set A are present in "1"

Answer: 8

Step-by-step explanation:

Answer:

4.5y

Step-by-step explanation:

0.5y + 4y

4.5y

Answer:

0.75

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Use x for the equation: (x - 1/2)*1/2 = 1/8

Just go backwards

1/8 is the result, and to get it, you multiply by 1/2, so instead of that, you divide 1/8 by 1/2 instead (Dividing a number by a fraction is the same as multiplying it by its reciprocal. The reciprocal of 1/2 is 2): (1/8)/(1/2) = 1/8 * 2 = 2/8 = 1/4, now since we subtracted 1/2, we add instead: 1/4 + 1/2 = 1/4 + 2/4 = 3/4

Answer:

198/7

Step-by-step explanation:

perimeter of semi circle= (pi) x r + d

                                     = 22/7 x 3 + 6

                                     = 198 cm

Answer:

15.42 cm

Step-by-step explanation:

perimeter of semicircle = πr + 2r

=3.14*3  + 2*3

=9.42 + 6

=15.42

Answer: [tex]17.67[/tex]

Step-by-step explanation:

Given

Sample  of 12 measurements has a mean of 16.5 and

a sample of 15 measurements has a mean of 18.6

Take [tex]\bar{x_1},n_1[/tex] be the mean and no of measurements

and [tex]\bar{x_2},n_2[/tex] be the mean and no of measurements in second case

[tex]\therefore \bar{x_1}=\dfrac{\sum a_1}{n_1}\\\\\Rightarrow \sum a_1=\bar{x_1}\times n_1\\\\\Rightarrow \sum a_1=198\quad \ldots(1)[/tex]

Similarly,

[tex]\therefore \bar{x_2}=\dfrac{\sum a_2}{n_2}\\\\\Rightarrow \sum a_2=\bar{x_2}\times n_2\\\\\Rightarrow \sum a_2=279\quad \ldots(2)[/tex]

Mean of 27 measurements

[tex]\Rightarrow \bar{x_3}=\dfrac{\sum a_1+\sum a_2}{n_1+n_2}\\\\\Rightarrow \bar{x_3}=\dfrac{198+279}{12+15}\\\\\Rightarrow \bar{x_3}=\dfrac{477}{27}\\\\\Rightarrow \bar{x_3}=17.67[/tex]

Answer:

6.78 m

Step-by-step explanation:

Since the set up forms a triangle with length of ropes two sides of the triangle a = 8 m and b = 7 m respectively, the distance between them which is c = 6 m forms the third side of the triangle.

To find the height of the pole, we need to find the angle between any of the ropes and the ground. So, choosing the 8 m long rope side and using the cosine rule,

b² = a² + c² - 2accosФ where Ф is the angle opposite the 7 m long side which is also the angle between the 8 m long side and the ground.

So, making, Ф subject of the formula, we have

b² - (a² + c²) = 2accosФ

cosФ = [b² - (a² + c²)]/2ac

Ф = cos⁻¹{[b² - (a² + c²)]/2ac}

substituting the values of the variables into the equation, we have

Ф = cos⁻¹{[b² - (a² + c²)]/2ac}

Ф = cos⁻¹{[7² - (8² + 6²)]/2(8)(6)}

Ф = cos⁻¹{[49 - (64 + 36)]/96}

Ф = cos⁻¹{[49 - 100]/96}

Ф = cos⁻¹{-51/96}

Ф = cos⁻¹{-0.53125}

Ф = 122.09°

Since the height of the pole, h is a perpendicular bisector to the base of the triangle, and the 8 m long side form a triangle with it and the ground and the 8 m long side being the hypotenuse side of this triangle, we have that

sinФ = h/a where a = 8 m and Ф = 122.09° = the angle between the 8 m long side and the ground.

h = asinФ

substituting the values of the variables into the equation, we have

h = asinФ

h = (8 m)sin122.09°

h = 8 m × 0.8472

h = 6.78 m

Answer:

pie

Step-by-step explanation:

Answer:

66

[tex]\frac{12!}{2!\left(12-2\right)!} =66[/tex]

Step-by-step explanation:

Answer:

66

Step-by-step explanation:

For A)

arcsin(11/15)=angle of elevation

47.17=angle of elevation

For B)

tan(47.17)=11/x

11/tan(47.17)=x

10.2=x

Answer:

1/2

Step-by-step explanation:

There are two possible outcomes when flipping a coin

heads or tails

P( tails) = number of favorable outcomes / total outcomes

            = 1/2

Answer:

p is tails and its saying you flip a fair coin, meaning you have a 50 50 chance which means you have a 50% chance of getting heads and same with tails.

Step-by-step explanation:

therefore, p is 0.5

have a great day!!

Answer:

A

Step-by-step explanation:

Write the nunber in scientific notation which we need to add -1 to 10 power to made it 3.07.