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2 years ago

Evaluate the following expression 30x^2y x=-2/5 y=5/8

Mathematics

1 answer:

meriva2 years ago

8 0

30(-2/5)²(5/8) = 30*(4/25)*(5/8) = 30*4/(5*8) = 3

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Ans: 720cm

UkoKoshka [18]

Answer:

663

Step-by-step explanation:

the total number of students can be determined using this equation :

(total ratio of Chinese and Indian students / total ratio of students) x n = 468

total ratio of Chinese and Indian students = 4 + 8 = 12

total ratio of students 4 + 8 + 5 = 17

N = TOTAL NUMBER OF STUDENTS

12/17) x n = 468

multiply both sides of the equation by 17/12

n = 663

3 0

3 years ago

A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm. Calculate the volume of

never [62]

Answer:

The volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .

Step-by-step explanation:

Formula

$Volume\ of\ a\ cylinder = \pi r^{2} h$

$Volume\ of\ a\ cone = \pi r^{2} \frac{h}{3}$

Where r is the radius and h is the height .

As given

A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm.

$\pi = 3.14$

Thus

$Volume\ of\ a\ cylinder =3.14\times 5\times 2\times 2$

= 62.8 cm³

Thus the volume of a cylinder is 62.8 cm³ .

$Volume\ of\ a\ cone = 3.14\times 2\times 2\times frac{5}{3}$

$Volume\ of\ a\ cone =\frac{5\times 3.14\times 2\times 2}{3}$

$Volume\ of\ a\ cone =\frac{62.8}{3}$

= 20.9 (Approx) cm³

Thus the volume of a cone is 20.9 cm³ .

Therefore the volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .

8 0

3 years ago

Three girls are selling cases of popcorn to earn money for a band trip in their first week Emily sold 2 3/4 cases Brenda sold 4

ss7ja [257]

They have sold ten full cases
but have sold 10 and a half cases in total

8 0

2 years ago

May you give me the answer to this please ?

Mrac [35]

Answer:

using pythagoras theorem

H^2=P^2+B^2

here h=MN ,opposite(P) be 15 and adjacent(B) be 16

(MN)2=15^2+16^2

(MN)^2=225+256

MN= $\sqrt{481}$

MN=21.93

after rounding off MN=21.9

Step-by-step explanation:

8 0

3 years ago

An ant looks up to the top of a building at an angle of elevation of 32°. Then, the ant walks an additional 88 feet from the edg

Naddik [55]

Tanα=h/x, tanß=h/(x+88)

solving both for x

x=h/tanα, x=h/tanß-88, since x=x

h/tanα=h/tanß-88

h/tanß-h/tanα=88

(htanα-htanß)/(tanα*tanß)=88

h(tanα-tanß)/(tanα*tanß)=88

h=88(tanα*tanß)/(tanα-tanß)

Since α=32 and ß=22...

h=88(tan32*tan22)/(tan32-tan22)

h≈85.3 feet

8 0

3 years ago