MATHEMATICS HIGH SCHOOL

GeometryThe diagonals of a  kite are in the ratio of 3:2. The area of the kite is 27 cm^2 .  Find the length of both diagonals. (Hint: Let the lengths of the diagonals be 3x and 2x)

How do I do this?

Answers

Answer 1
Answer: A=27 \ cm^2 \n \n d_(1)=3x , \ \ d_(2) = 2x \n \n S=(1)/(2)\cdot d_(1)\cdot d_(2)\n \n27 = (1)/(2)\cdot 3x \cdot 2x \n \n 3x^2 = 27 \ \ /:3

x^2 = 9 \n \n3x=x=√(9)\n \nx=3 \ cm \n \n d_(1)=3x = 3*3 =9 \ cm \n \nd_(2)=2x=2*3 = 6 \ cm \n \n Answer : \n The \ length \ of \ the \ diagonal \ is: \ d_(1)= 9 \ cm \ and \ d_(2)= 6 \ cm

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Tyes math book is 2 3/4 inches thick her history book 1 3/8 inches thick how much thicker is her math book than her history book?

Answers

Answer:

1 3/8

Step-by-step explanation:

Subtract the fractions, but you need to find common denominators first. Since 4 can go into 8, 8 is the common denominator. Multiply 2 3/4 by 2/2

2 3/4 × 2/2 = 2 6/8

Now subtract.

2 6/8 - 1 3/8 = 1 3/8

6(3+6x) do some one has a answer for this

Answers

6(3+6x)\n 6\cdot 3+6\cdot 6x\n 18+36x
6(3+6x) =6\cdot3+6\cdot6x=18+36x=36x+18

Suppose a circle has a circumference 16pi units. what is its radius

Answers

Answer:

radius=8

Step-by-step explanation:

Answer: the radius

8

Step-by-step explanation:

There are 420 children in a school. 45% of the pupils are boys. How many boys are there?
How many girls are there?

Answers

1 \% = (1)/(100) \n \n 45 \% =(45)/(100)=(9)/(20)\n \n total \ children : 420 \n \n boys : \n \n420 \cdot 45 \% = 420 \cdot (9)/(20)= 21\cdot 9 =189 \n \n girls : \ \n \n 420 -189 = 231
total children = 420
boys = 45% of 420 = 189 boys
Girls = (100-45)% = 55% of 420 = 231 boys

How do you answer these questions?

Answers

First page:

Angles B and C >>> vertical angles

C + D is 180 because they form a >>> straight line

D and E are congruent bc they are alternating interior.

Second page:

If A = 72 degrees, then D is 72 degrees. E and G would also be 72 degrees.

If A = 72, just remember that A + B = 180 (bc together they are a straight line), so 180-72 = 108. So Angle B is 108 degrees.

If B is 108 degrees, then C, F and H are also 108 degrees.

So the actual questions in the order listed:

B = 108 degrees

D = 72 degrees

E = 72 degrees

F = 108 degrees

H = 108 degrees

G = 72 degrees

Evaluate C(7, 5).

21
42
1,008

Answers

Answer:

21

Step-by-step explanation:

This is a combination of 7 objects taken 5 at a time

nCr = n! / r! * (n - r)!

7C5 = 7! / (5! (7-5)!)

       = 7! /(5! 2!)

       = (7*6*5*4*3*2*1)

          -----------------------

          5*4*3*2*1  * 2*1

Canceling

      =    7*6/ (2*1)

      = 21
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