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2 years ago

At Middle school ,60% of the 800 students participate in music. How many students participate in music.???

Mathematics

2 answers:

VikaD [51]2 years ago

5 0

It would be 480, because I did it in Desmos

fredd [130]2 years ago

3 0

Answer:

480

Step-by-step explanation:

800=100% value

x-60%

800/x = 100%/60%

now solve for x

(800/x)*x=(100/60)*x ( multiply both sides of the equation by x )

800=1.66666666667*x ( then we divide both sides of the equation by 1.66666666667 to get x )

480 = x

x= 480

so 60% of 800 is 480

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a goat tethered to a stake by a rope has grazed the meadow over an area of 12.56msqare around it stretching the rope. i) what is

Nikolay [14]

Answers:

length of rope = 2 meters

perimeter of meadow = 12.56 square meters

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

Explanation:

Assuming there are no structures (buildings, fences, etc) to get in the way of the goat, this means the goat's area that it can roam is a circle with radius r

The area of the circle is pi*r^2 which is equal to 12.56 square meters

pi*r^2 = 12.56

3.14*r^2 = 12.56

r^2 = 4

r = sqrt(4)

r = 2

The radius of the circle is 2 meters. This is the length of the rope. If the goat goes out as far as it can go, and tries to move left/right, then it will trace out a circle of radius 2. This is assuming the rope is kept fully taut the entire time.

The perimeter of the circle is the same as the circumference

circumference = 2*pi*r

circumference = 2*pi*2

circumference = 4*pi

circumference = 4*3.14

circumference = 12.56

The circumference and area are the same because r^2 = 4 and 2*r = 4 when r = 2. For any other positive r value, the area and circumference will be different values.

So in short, if a friend says that the area of a circle is the same as its perimeter, then you can immediately conclude the radius is 2.

Side note: throughout all of this solution, I used the approximation pi = 3.14 though pi has more decimal digits

7 0

2 years ago

Read 2 more answers

Help me with this geometey question !! thanks!

Reptile [31]

Answer:

A=542

Step-by-step explanation:

none, sorry

6 0

2 years ago

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A kite is 85 feet high with 100 feet of string let out. What is the angle of elevation of the string with the ground? Please sho

a_sh-v [17]

Answer:

58°

Step-by-step explanation:

A right triangle can be drawn to model the geometry of the problem. The hypotenuse of the triangle is the length of the string, 100 ft. The side opposite the angle is the height of the kite above the ground, 85 ft.

The mnemonic SOH CAH TOA reminds you of the relationship between sides and angles.

Sin = Opposite/Hypotenuse

sin(α) = (85 ft)/(100 ft) = 0.85

The angle whose sine is 0.85 is found using the arcsine (inverse sine) function:

α = arcsin(0.85) ≈ 58.2°

The angle of elevation is about 58°.

_____

When using your calculator to find the values of inverse trig functions, make sure it is in degrees mode. Otherwise, you're likely to get the answer in radians (≈ 1.01599 radians).