Answer:
missing side = 3.3
using Pythagoras theorem:
a² + b² = c²
?² + 5² = 6²
?² + 25 = 36
?² = 36 - 25
?² = 11
? = √11
? = 3.3
First, we determine the area of the piece of cardboard by multiplying its dimensions.
area of cardboard = (8.5 inches) x (11 inches) = 93.5 in²
Then, we solve for the area of the cut out square,
area of the square = (4 inches) x (4 inches) = 16 in²
Then, we subtract the areas giving us the area of the frame which is equal to,
77.5 in²
Answer:
No
Step-by-step explanation:
(3, 10)
3 = x
10 = y
Substitute into equation
10 = 4(3)
10 = 12
No it isn't a solution as y doesn't = x
Answer:
He has 11 quarters
Step-by-step explanation:
* Lets study the information in the problem to solve it
- The value of dimes and quarters is $6.35
- There are dimes and quarters
- The dime = 10 cents
- The quarter = 25 cents
* We must change the money from dollars to cents
∵ $1 = 100 cents
∴ $6.35 = 6.35 × 100 = 635 cents
- The number of dimes = 3 + 3 × number of quarters
* Let number of dimes is D and number of quarter is Q
∴ D = 3 + 3Q
∴ 10D + 25Q = 635
* Substitute the value of D from first equation in the second equation
∴ 10(3 + 3Q) + 25Q = 635 ⇒ open the bracket
∴ 10(3) + 10(3Q) + 25Q = 635
∴ 30 + 30Q + 25Q = 635 ⇒ collect like terms
∴ 30 + 55Q = 635 ⇒ subtract 30 from both sides
∴ 55Q = 605 ⇒ divide both sides by 55
∴ Q = 11
* He has 11 quarters
Answer: this is Judy Heckman you answered a question about a parabola graph and someone went off of it before I could study it. Help thanks
Step-by-step explanation:
