Answer:
We can use quadratic formula
a=3, b= -1, c=4
Step-by-step explanation:
Answer:
13 and 16
Step-by-step explanation:
let the 2 parts be x and y, then
x + y = 29 → (1) and
x² + y² = 425 → (2)
From (1) → x = 29 - y → (3)
substitute x = 29 - y into (2)
(29 - y)² + y² = 425 ( expand factor )
841 - 58y + y² + y² = 425 ( rearrange into standard form )
2y² - 58y + 416 = 0 ← in standard quadratic form
divide all terms by 2
y² - 29y + 208 = 0
Consider the factors of 208 which sum to - 29
These are - 13 and - 16, hence
(y - 13)(y - 16) = 0
equate each factor to zero and solve for y
y - 13 = 0 ⇒ y = 13
y - 16 = 0 ⇒ y = 16
substitute these values into (3)
x = 29 - 13 = 16 and x = 29 - 16 = 13
The 2 parts are 13 and 16
Answer:
Volume of cuboid = 300 in³
Surface area of cuboid = 280 in²
Step-by-step explanation:
Given:
Length = 10 in
Width = 5 in
Height = 6 in
Find:
Volume of cuboid
Surface area of cuboid
Computation:
Volume of cuboid = [L][B][H]
Volume of cuboid = [10][5][6]
Volume of cuboid = 300 in³
Surface area of cuboid = 2[lb][bh][hl]
Surface area of cuboid = 2[(10)(5) + (5)(6) + (6)(10)]
Surface area of cuboid = 2[50 + 30 + 60]
Surface area of cuboid = 2[140]
Surface area of cuboid = 280 in²
We develop the ratio between the number of milliliters present in 1 tablespoon and that is,
15 mL: 1 tablespoon
We let x be the number of millileter in 3 tbsp and it can be determined through the equation below.
x = 3 tbsp x (15 mL/ 1 tbsp) = 45 mL
Therefore, there are 45 mL in 3 tbsp.
