All categories

3 years ago

For the rhombus ABCD, diagonal BD = 18 and diagonal AC = 24. What is the side length of the rhombus? A) 15 2 B) 21 2 C) 15 D) 21

1 answer:

8 0

The diagonals are perpendicular to each other.
The right triangle has half of each diagonal as sides, so the hypotenuse or side length is Sqrt(9^2 + 12^2) = 15.
Hint: a 3,4,5 sided triangle is the smallest integer right triangle. Doubling or tripling, etc. is still a right triangle. So when I saw the 9,12, I knew that 15 was the hypotenuse.

You might be interested in

Write a cubic function whose graph passes through the points (-4,0)(4,0)(0,6) and (2,0)

gulaghasi [49]

Answer: 3/16(x+4)(x-4)(x-2)

Step-by-step explanation:

3 0

3 years ago

Help please I need to pass my class

valina [46]

Answer:

look below

Step-by-step explanation:

thing to note:

sin = opposite/hypotenuse

cos = adjacent/hypotenuse

tan = opposite/adjacent

opposite= side across angle you are using

hypotenuse= side across 90 degree angle

adjacent= remaining side

angle B

sin = 6/10

cos = 8/10

tan = 6/8

angle C

sin = 8/10

cos = 6/10

tan = 8/6

hope that helped. let me know if you have any questions:)

3 0

3 years ago

The container that holds the water for the football team is 4/9 full. After pouring in 4

Natasha2012 [34]

Answer: 18 gallons.

Step-by-step explanation:

Let's call the total gallons that the container can hold x.

Then, based on the information given in the problem, you can write the following expression:

$\frac{4}{9}x+4=\frac{2}{3}x$

Now, you must solve for x, as you can see below. Therefore, you obtain the following result:

$\frac{4}{9}x+4=\frac{2}{3}x\\\\4=\frac{2}{3}x-\frac{4}{9}x\\\\4=\frac{2}{9}x\\\\4*9=2x\\\\36=2x\\\\x=18\ gallons$

5 0

3 years ago

Find the following sums. Please help.

34kurt

Answer:

5m-n-4p

4a^2+6x-3

Step-by-step explanation:

3m-4n +7p

-5m +9n -6p

+7m -6n -5p

----------------------

Combine like terms

3m-4n +7p

-5m +9n -6p

+7m -6n -5p

----------------------

(3-5+7)m +(-4+9-6)n +(7-6-5)p

5m-n-4p

a^2 -3x +1

a^2 +9x -6

2a^2 +0x +2

----------------------

Combine like terms

a^2 -3x +1

a^2 +9x -6

2a^2 +0x +2

----------------------

(1+1+2)a^2 +(-3+9+0)x +(1-6+2)

4a^2+6x-3

6 0

3 years ago

70:80 simplest form as a ratio

emmasim [6.3K]

Answer:

7 : 8

Step-by-step explanation:

70 : 80 divided by 2 =

35 : 40 divided by 5 =

7 : 8

70 : 80 divided by 10 =

7 : 8

6 0

3 years ago

Read 2 more answers