Answer:
4.2×10to the 6th or 4,200,000
Step-by-step explanation:
First you have to know that you are multiplying these two numbers. When you multiply exponents like there you add the matissa's (6&7) and add the exponents.
6×10to the 2 * 7×10to the 3rd
42 × 10to the 2+3
42×10to the 5th
Something else you need to know is your matissa cant be higher than 10
So:
4.2 × 10to the 6th is your answer
Angles 6 and 7 are vertical angles
Answer:
Perimeter = 42 cm.
Step-by-step explanation:
The 2 legs are equal in length as it is an isosceles trapezoid.
Area of trapezoid = (h/2)(a + b) where a and b are the parallel bases.
So
(5/2) (a + b) = 45
a + b = 45 * 2/5 = 18 cm.
We are given that the length of a leg (L) is 2/3 * sum of the bases, so:
L = 2/3(a + b)
= 2/3 * 18
= 12 cm.
The perimeter = a + b + 2L
= 18 * 2*12
= 42 cm.
Let the middle child be x
youngest child = x - 1
Oldest child = x + 1
(x - 1)^2 = 8(x + 1) + 4
x^2 - 2x + 1 = 8x + 8 + 4
x^2 - 10x - 11 = 0
(x - 11) * (x + 1) = 0
X = - 1 makes no sense. How can a middle child be - 1 years old?
x = 11
The youngest child is 10
The middle child is 11
The oldest child is 12
Check
=====
10^2 = 100
(8*12) + 4
96 + 4 = 100 So the results have been checked.
