. 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:

Options A and E

Step-by-step explanation:

Isosceles triangle → Two sides and opposite angles of the equal sides will be equal

In the given triangle measure of all sides are different.

Therefore, it's not an isosceles triangle.

Equilateral triangle → All sides and opposite angles are equal.

Given triangle is not an equilateral triangle.

Scalene triangle → All sides and angles are different in measure.

It's an scalene triangle.

Since, one angle of the triangle is a right triangle, it's a right triangle.

Option A and E are the correct options.

Answer:

x = 4

Step-by-step explanation:

The line in the triangle is an angle bisector and divides the opposite sides into segments that are proportional to the other 2 sides, that is

[tex]\frac{x+6}{20}[/tex] = [tex]\frac{x}{8}[/tex] ( cross- multiply )

20x = 8(x + 6) = 8x + 48 ( subtract 8x from both sides )

12x = 48 ( divide both sides by 12 )

x = 4

Answer:

the 9th term would be  -15

Step-by-step explanation:

Answer:

HCF = 1

Step-by-step explanation:

Smallest 2 digit composite number = 10

Smallest  3 digit prime number = 101

Factors of 10 = 1 , 2 , 5

Factors of 101 = 1 , 101

HCF = 1

Answer:

Step-by-step explanation:

1)

1.

2.

It has 4 imaginary roots and no real roots

2)

1.

2.

It has 4 imaginary roots and no real roots

#1

First

second

4complex roots

#2

first

Second

4 complex roots

[tex]\longrightarrow{\green{a\:=\:2}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

➡[tex]\:4a + 1 = a + 7[/tex]

Combining like terms, we have

➡[tex]\:4a - a = 7 - 1[/tex]

➡[tex]\:3a = 6[/tex]

➡[tex]\:a = \frac{6}{3} [/tex]

➡[tex]\:a = 2[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

➪ [tex] \: 4 \times 2 + 1 = 2 + 7[/tex]

➪ [tex] \: 8 + 1 = 9[/tex]

➪ [tex] \: 9 = 9[/tex]

➪ [tex] \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

True

Step-by-step explanation:

Smoking damages your entire cardiovascular system. Speaking of this Nicotine causes blood vessels to tighten, which restricts the flow of blood. Over time, the ongoing narrowing, along with damage to the blood vessels, can cause *peripheral artery disease*. Smoking also raises blood pressure, weakens blood vessel walls, and increases blood clots.

* Peripheral artery disease is a common circulatory problem in which narrowed arteries reduce blood flow to your limbs

Hope this helps :) Brainliest would be appreciated XD

Answer:

2 cm²

Step-by-step explanation:

Perimeter of a rectangle = perimeter of a square + perimeter of a square

2 congruent squares, side by side

The perimeter of the two squares = 6*sidelength.

Perimeter of a rectangle = 6 cm

The perimeter of the two squares = 6 * length

= 6l

Perimeter of a rectangle = The perimeter of the two squares

6 = 6l

l = 6/6

l = 1

Length = 1 cm

What is the total area of the squares.

Area of a square = lenght²

Area of two squares = 2(length ²)

= 2(1²)

= 2(1)

= 2 cm²

Answer:

What is the number of boys? I think you forgot to add the number in.

Step-by-step explanation:

Don't worry, I'll still help you! I'll be here waiting! :)

Answer:

slope = [tex]\frac{2}{7}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (4, 4)

m = [tex]\frac{4-2}{4-(-3)}[/tex] = [tex]\frac{2}{4+3}[/tex] = [tex]\frac{2}{7}[/tex]

Answer:

= 2

7

Step-by-step explanation:

slope = y2 - y1

x2 - x1

=4 - 2

4 - -3

= 2

7

y - 4 = 2

x - 4 7

7(y - 4) = 2(x - 4)

7y - 28 = 2x - 8

7y = 2x - 8 + 28

7y = 2x + 20

7 7 7

Gradient = 2

7

Answer:

yes

Step-by-step explanation:

both angels are the same and that means that the length of the parallel sides are also the same

Answer:

B. 14 and 15

hope this helps

have a good day :)

Step-by-step explanation:

the square root of 200 is 14.14213562 so it has to be between 14 and 15

Answer:

y>2/1+-4

Step-by-step explanation:

y> because it's shaded over and since it's not dashes it needs the underline

2/1 because it's goes to the left twice and up once

-4 because that's where it starts

Answer:

63 inches tall.

Step-by-step explanation:

60 + 3 = 63.

Answer:

Step-by-step explanation:

Given Question,

2x - 7

Given Value:

[tex]x = \frac{1}{2} [/tex]

Solution,

[tex]2( \frac{1}{2} ) - 7[/tex]

[tex] = 2 \times \frac{1}{2} - 7[/tex]

= 1 - 7

= - 6 (Ans)

Answer:

- 2/5

Step-by-step explanation:

(3/5 + 1/5) + (4/5 - 2/5) = 6/5

6/5 - (9/5-1/5) = - 2 /5

Answer:

34 because the shape is split.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Have a great summer :)

Answer:

C

Step-by-step explanation:

The slope is negative, so we can exclude the graph A and D

If we substitute y with 2 and x with -3 we have

2 = -4/3 (-3) -2

2 = 4 - 2

2 = 2

the equality is verified so C is the answer

Answer:

5

Step-by-step explanation:

The highest power is 5 so the degree of the monomial is also 5.

OPTION B is the correct answer.

Hope it helps you...

Answer:

option B

Step-by-step explanation:

[tex]4^{\frac{2}{5} } *4^{\frac{-2}{5} }[/tex]

in multiplication if base are same u can add their power (exponent)

[tex]4^{\frac{2}{5} + \frac{-2}{5} } \\[/tex]

here since the denominator of the fraction in exponent are same u can add or subtract their numerator.

[tex]4^{\frac{2-2}{5} } \\4^{\frac{0}{5} } \\4^{0} \\1[/tex]

note: any base with the power 0 is always considered as one.

Answer: The ASAP Math program provides an opportunity for additional small group instruction for students who find the math program challenging. Students in grades 1 to 4 will come to the ASAP room two to three times a week during the math block.

Given:

A figure of a rectangular prism with length l, width w and height h.

To find:

The surface area of the rectangular prism.

Solution:

The product of twice of the length l and the width w is:

[tex]2\times l\times w=2lw[/tex]          ...(i)

The product of twice of the length l and the height is:

[tex]2\times l\times h=2lh[/tex]           ...(ii)

The product of twice of the width w and the height h is:

[tex]2\times w\times h=2wh[/tex]       ...(iii)

The surface area of the prism is the sum of (i), (ii) and (iii). So, the expression for the surface area is:

[tex]A=2lw+2lh+2wh[/tex]

[tex]A=2(lw+lh+wh)[/tex]

Therefore, the required expression is [tex]2(lw+lh+wh)[/tex].

Answer:

$519

Step-by-step explanation:

Given the amount of profit made expressed as y=-2x^2+105x-859

At maximum profit, dy/dx = 0

dy/dx = -4x + 105

0 = -4x + 105

4x = 105

x = 105/4

x = 26.25

Substitute into the original function

y=-2x^2+105x-859

y=-2(26.25)^2+105(26.25)-859

y = - 1,378.125+2,756.25-859

y = 519.125

Hence the maximum amount of profit the company can make is $519

Answer:

519

Step-by-step explanation:

just took the question

Answer:

5P5 × 20P15

Step-by-step explanation:

i think...

sorry if im wrong

good luck

Answer:

The answer is C≈49.64

Answer:

C=2πr=2·π·7.9≈49.63716

Step-by-step explanation:

brainliest??

Answer:

[tex]Q_3 = 64[/tex]

Step-by-step explanation:

Given

Box of a box plot with the range: 60 - 64

Required

The upper quartile

To do this, we simply identify the endpoint of the range

Given that the range of the box is 60 to 64.

We have:

[tex]Start = 60[/tex]

[tex]End = 64[/tex]

Hence:

[tex]Q_3 = 64[/tex]

=======================================================

Explanation:

We use the cosine ratio here. Make sure your calculator is in degree mode.

cos(angle) = adjacent/hypotenuse

cos(69) = x/10

10*cos(69) = x

x = 10*cos(69)

x = 3.583679495453 which is approximate

x = 3.6