9514 1404 393
Answer:
12
Step-by-step explanation:
The length of the hypotenuse, PQ, can be found from the Pythagorean theorem:
PQ² = QR² +PR²
PQ² = 3² + 4² = 25
PQ = √25 = 5
The perimeter is the sum of side lengths:
P = 3 + 4 + 5 = 12
The perimeter of this triangle is 12 units.
Step-by-step explanation:
A left Riemann sum approximates a definite integral as:
Given ∫₂⁸ cos(x²) dx:
a = 2, b = 8, and f(x) = cos(x²)
Therefore, Δx = 6/n and x = 2 + (6/n) (k − 1).
Plugging into the sum:
∑₁ⁿ cos((2 + (6/n) (k − 1))²) (6/n)
Therefore, the answer is C. Notice that answer D would be a right Riemann sum rather than a left (uses k instead of k−1).
Answer:
$3960
Step-by-step explanation:
12% of $4,500 is 540.
Subtracting the 12% means taking away $540 from $4,500, which gives you $3960
The area of a paralellogram is bh
each dimention is multiplied by n
b turns to bn
h turns to hn
bh turns to (bn)(hn) or bnhn or bhn²
expression is bhnn or bhn² or bhn^2 (depends if the program will let you enter the exponent)
Answer:
10 pizzas
Step-by-step explanation:
Jaxson is throwing a pizza party. He has 1\tfrac{1}{4}1 4 1 pounds of cheese available and he needs \tfrac{1}{8} 8 1 pound of cheese to make each pizza. How many pizzas can he make?
We can interprete the above question as:
1/8 pounds of cheese = 1 pizza
1 1/4 pounds of cheese = x pizzas
Cross Multiply
1/8 × x = 1 1/4 × 1
x = 1 1/4 ÷ 1/8
x = 5/4 ÷ 1/8
x = 5/4 × 8/1
x = 10 pizzas
x = 10 pizzas
