Answer:
Height = 14.4
Step-by-step explanation:
The diagonals meet at right angles. Interesting property.
The hypotenuse is the side of the rhombus = 15 cm
One of the sides of the small triangles created by the intersection of the diagonals = 24/2 = 12
You can find the other side of the the triangle by using the Pythagorean Theorem
a^2 + b^2 = c^2
c = 15
a = 12
b = ?
12^2 + b^2 = 15^2
144 + b^2 = 225
b^2 = 225 - 144
b^2 = 81
b = 9
The area of this right angle = 9 * 12/2 = 54
There are 4 of them so 4 * 54 = 216
That's the area of the rhombus.
The h= Area / b
b = 15
h = 216/15
h = 14.4
Answer:
c. (x+3)(x+9)
Step-by-step explanation:
x^2+12x+27
The middle number is 12 and the last number is 27.
We need two numbers that...
Add together to get 12
Multiply together to get 27
Try 3 and 9:
3+9 = 12
3*9 = 27
Fill in the blanks in
(x+_)(x+_)
with 3 and 9 to get...
(x+3)(x+9)
8(10-K) = 2k
mutiply the bracket by 8
(8)(10)= 80
(8)(-k)= -8k
80-8k= 2k
move -8k to the other side
sign changes from -8k to +8k
80-8k+8k= 2k+8k
80= 2k+8k
80= 10k
divide by 10 for both sides
80/10= 10k/10
k= 8
Answer: k= 8
Answer: Third option is correct.
Step-by-step explanation:
Since we have given by
Event A: the red die shows 1
Event B : the numbers add to 4
Event C: at least one of the numbers is 3
Event D : the numbers do not add to 9.
D' means the number add to 9.
We need to write the following statement in symbolic form:
Either the numbers add to 9 or the red die shows a 1.
So, it becomes,
Number of elements in D'∪A = 1.
Hence, Third option is correct.
Answer:
what are the choices
Step-by-step explanation:
