The ratio of the number of boys to the number of girls in a chior is 5 to 4. How many boys are in chior

Answer:

1. 24/40, 32/40, 24/32 (This is in order from top to bottom)

2. 21.1

3. 4.1

Step-by-step explanation:

1. Here, we only have to focus on Angle X.

Let's label in the sides:

Opposite = YZ = 24

Adjacent = XY = 32

Hypotenuse = XZ = 40

SOHCAHTOA simply means:  You can memorise this through the acrostic poem of - Slap On Head Causes A Headache Take One Aspirin, but I remember it by Suck A Toe because that's what it sounds like.

Sin(x) = Opposite/Hypotenuse

Cos(x) = Adjacent/Hypotenuse

Tan(x) = Opposite/Adjacent

Sin(X) = 24/40

Cos(X) = 32/40

Tan(X) = 24/32

The question only asks to give the ratios by using / for a fraction, so we don't simplify it.

2. We are given the angle of 64°, the opposite length 19 and we have to work out x, which is the hypotenuse. We can use the sin function as we have our opposite length and we have to work out the hypotenuse.

Sin(64) = 19/x

xSin(64) = 19

x = 19/Sin(64)

x = 21.13943687

x = 21.1

3. We are given the angle of 70°, the hypotenuse 12 and we have to work out x, which is the adjacent side. We can use the cos function as we have to work out the adjacent side and we have our hypotenuse given to us.

Cos(70) = x/12

12Cos(70) = x  All we have to do here is multiply by 12!

x = 4.10424172

x = 4.1

Answer:

See explanation

Step-by-step explanation:

cos62˚ ≈ 0.469

0.469 x 12 = 5.628

The value of cos62 x 12 is 5.634.

We are given that;

The trigonometric function

cos62 x 12

Now,

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

To find the value of cos62 x 12, we can use a calculator or a trigonometric table.

we get:

cos62 x 12 = 0.4695 x 12

= 5.634

Therefore, by trigonometric function the answer will be 5.634 (approx.)

Learn more about trigonometric;

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#SPJ4

Answer:

Y < 2X

Step-by-step explanation:

Let the acres of land on which pea is to be cultivated is "X" acres and the acres of land on which tomato is to be cultivated is "Y"

It is given that number acres of tomatoes planted must not be more then twice the number of acres of peas planted

Thus, [tex]Y < 2X[/tex]

[tex]X + Y = 12[/tex] acres

[tex]Y = 12-X[/tex] acres

Thus,

[tex]12 - X \leq X\\12\leq 2X\\6 \leq X[/tex]

Let us take X = 6 , Then Y = 13-6 = 6

Answer:

9 sq un

Step-by-step explanation:

Answer:

let the two complementary angles be x and 90-x

x= 7t (say)

90-x= 11t

x+90-x=90= 7t+11t=18t

90=18t

t=90/18= 10/2= 5

so x= 7×5=35 degrees

and 90-×=90-35=55 degrees

Answer:

Step-by-step explanation:

Say thanks

mark brainlist

and rate 5!

x= 7t (say)

90-x= 11t

x+90-x=90= 7t+11t=18t

90=18t

t=90/18= 10/2= 5

so x= 7×5=35 degrees

and 90-×=90-35=55 degrees

Answer:

1.50

Step-by-step explanation:

Answer:

The first answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

56.52 units³

Step-by-step explanation:

[tex]v = \pi {r}^{2}h[/tex]

r = 3 units ; h (height) = 2

V = 3.14 × 3² × 2

= 3.14 × 9 × 2

= 56.52 units³

Answer:

Ummm I dont know what subject it is so i will guess 2.3?

Step-by-step explanation:

I'm Sorry im really useless

Answer:

5 pints = 10 cups

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

5 * 2 = 10

Answer:

400 m^2.

Step-by-step explanation:

The largest  area is obtained where the enclosure is a square.

I think that's the right answer because a square is a special form of a rectangle.

So the square would be 20 * 20  = 400 m^2.

Proof:

Let the  sides of the rectangle be x and y m long

The area A = xy.

Also the perimeter  2x + 2y = 80

x + y = 40

y = 40 - x.

So substituting for y in A = xy:-

A = x(40 - x)

A = 40x - x^2

For maximum value of A  we find the derivative and equate it to 0:

derivative A' =  40 - 2x = 0

2x = 40

x = 20.

So y = 40 - x

= 40 - 20

=20  

x and y are the same value so x = y.

Therefore for maximum area the rectangle is a square.

The largest area of rectangle will be 400 square meters.

Let us consider the length and breadth of rectangle is x and y respectively.

Perimeter of rectangle is given that 80 meters.

                                  [tex]2x+2y=80\\\\x+y=40\\\\y=40-x[/tex]

 Area of rectangle is,

                                        [tex]=x*y\\\\=x*(40-x)\\\\A=40x-x^{2}[/tex]

  For maximum area, differentiate Area with respect to x  and equate with zero.

                           [tex]\frac{dA}{dx} =\frac{d}{dx}(40x-x^{2} ) \\\\\frac{dA}{dx} =40-2x=0\\\\x=40/2=20m[/tex]

       So,    [tex]y=40-20=20m[/tex]

Area  = [tex]20*20=400m^{2}[/tex]

Thus, The largest area of rectangle will be 400 square meters.

Learn more:

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Answer:

506.91

Step-by-step explanation:

Either that or it is D

Answer and Step-by-step explanation:

The most common (greatest) factor of 120 and 300 is 60.

60 goes into both of them, and it is the greatest number in there list of factors that would go into both of these numbers.

#teamtrees #WAP (Water And Plant)

Answer:

(1,2)

(2,4)

(3,6)

Answer:

There are 6 slices on each pizza

Step-by-step explanation:

Because 18 divided by 3 is 6

Answer:

is equal cuz a will be cut and be will be cut so what is left 1 is left so it is equal plz Mark me as the brainliest and thank me

Answer:

x= 70°, y=40°

Step-by-step explanation:

2x=140

x= 70

y= 180-140= 40

140 + y = 180

y = 180 - 140

y = 40

2x + 40 = 180 (Angle Sum Property)

2x = 180 - 40

2x = 140

x = 140/2

x = 70

X = 70

Y = 40

Answer:

The volume of the cylinder ≅ 197.82[tex]cm^{2}[/tex]

Step-by-step explanation:

The volume of a cylinder is equal to the area of the base times the height. We know the radius, therefore we can find the area of the base. The formula for the volume of the cylinder is as follows:

V = π[tex]r^{2}[/tex][tex]h[/tex]

(now substitute the values of "r" and "h", and get...)

V = π[tex]r^{2}[/tex][tex]h[/tex]

[tex]V = (3^{2} )(7)[/tex] x π

V = (9)(7)π

V = 63π

V ≅ 197.82[tex]cm^{2}[/tex]

Answer:

you divide the number of ounces by the number of pints

Step-by-step explanation:

Answer:

2nd answer, (2.1,3.5)

Step-by-step explanation:

Reflection over x axis rule:

(x,-y) Change the sign of the y coordinate.

So we basically change the sign of the y axis (-3.5) to get (3.5).

Very much simple and I hope it helps.

Answer:

u should ask that tutor guy he will help u understand what to do step by srep

Answer:

9.8

Step-by-step explanation:

[tex]x^2 + 10^2=14^2\\x^2+100=196\\x^2=96\\\sqrt{x^2} =\sqrt{96} \\x=9.8[/tex]

Answer:9.1 or 10.1

Step-by-step explanation:

Answer:

your answer will be D). (6,9)

Step-by-step explanation:

hope it helps bye!!

Answer:

C

Step-by-step explanation:

256^1/4=4

So C is the right answer

Hope this helps :D