Answer:
x = 3√2 , y = 6
Step-by-step explanation:
In given triangle,
3√2 = x
and y is hypotenuse.
Using Pythagoras theorem
hypotenuse = √Perpendicular² + Base²
hypotenuse = √(3√2)² + (3√2)²
hypotenuse = √18 + 18
hypotenuse = √36
hypotenuse = 6
So,
x = 3√2 , y = 6
Answer:
A= 12 Ft^2
Step-by-step explanation:
Reminder the Area formula is A=B(Base) times H(Height).
Take The base (6) and the Height (6) then multiply.
Hence, the reason is 12 Ft squared.
9514 1404 393
Answer:
$7.14
Step-by-step explanation:
Let p, d, q represent the numbers of pennies, dimes, and quarters in the collection, respectively.
p + d + q = 45 . . . . . . . . there are 45 coins in the collection
2p +5 = q . . . . . . . . . . . . 5 more than twice the number of pennies
p + 4 = d . . . . . . . . . . . . . 4 more than the number of pennies
Substituting the last two equations into the first gives ...
p +(p +4) +(2p +5) = 45
4p = 36 . . . . . . . . . . . . . subtract 9
p = 9 . . . . . . . . . . . divide by 4
d = 9 +4 = 13
q = 2(9) +5 = 23
The value of the collection is ...
23(0.25) +13(0.10) +9(0.01) = 5.75 +1.30 +0.09 = 7.14
The coin collection is worth $7.14.
Let the number of dimes be x and the number of quarters be y, then
x + y = 61 . . . . . . . . . . . .(1)
0.1x + 0.25y = 10.90 . . . (2)
From (1): x = 61 - y . . . . .(3)
Putting (3) into (2) gives: 0.1(61 - y) + 0.25y = 10.90
6.1 - 0.1y + 0.25y = 10.90
6.1 + 0.15y = 10.90
0.15y = 10.90 - 6.1 = 4.80
y = 4.80/0.15 = 32
x = 61 - 32 = 29
Therefore, there are 29 dimes and 32 quarters
Answer:
To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.
Cube is the same