9514 1404 393
Answer:
305,645 base 10
1124755 base 8
Step-by-step explanation:
In expanded form, the number is ...
4×16^4 +10×16^3 +9×16^2 +14×16^1 +13
= (((4×16 +10)×16 +9)×16 +14)×16 +13 = ((74×16 +9)×16 +14)×16 +13
= (1193×16 +14)×16 +13 = 19102×16 +13 = 305,645 base 10
_____
If you want to convert this to base 8, that is easily done by writing the binary equivalents of the hex digits, then regrouping them by 3s.
4A9ED₁₆ = 0100 1010 1001 1110 1101₂ = 01 001 010 100 111 101 101₂
= 1124755₈
That is an increase of 88 feet
hope this helps!
Answer:
The length is 7 m
The width is 10 m
Step-by-step explanation:
length = x
width = 2x - 4
length * width = area
It is given that the area is 70 
From there
x * (2x - 4) = 70
- 4x = 70
- 4x - 70 = 0
- 2x - 35 = 0
Now we have a quadratic equation, which is a + bx + c = 0, where a 
0
In this equation a = 1, b = -2 and c = -35
Discriminant (D) formula is b² - 4ac
D = 
- 4 * 1 * (-35) = 144 > 0
This discriminant is more than 0, so there are two possible x
Their formulas are 
and 
= 
= -5 < 0 (the length of the rectangle has to be more than 0, so we don't use this x)
= 
= 7 > 0 (this one is right)
Calculating the dimensions
length = x = 7 (m)
width = 2x - 4 = 2 * 7 - 4 = 10 (m)
Answer:
Option A
Step-by-step explanation:
When any triangle is dilated from the pre-image, its sides will never be congruent to the pre-image. However, its angles will be congruent and the triangles will be similar.
