(7/8)*(9/10)=7*9/(8*10)=63/80
Answer:
0.003 miles per hour
Step-by-step explanation:
Well since 5280 feet gives 1 mile den convert 17.6 feet per sec to miles per hr
Answer:
A. 15 cups
B. Diagram below
We are given that,
The ratio of dressing to the vegetables is 2 cups : 4 pounds.
A. It is given that the vegetables are of 30 pounds.
Let the number of cups be x.
Since, the ratio of dressings and vegetables will remain same.
We have,
![\frac{2}{4}=\frac{x}{30}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B4%7D%3D%5Cfrac%7Bx%7D%7B30%7D)
i.e. ![x=\frac{2\times 30}{4}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B2%5Ctimes%2030%7D%7B4%7D)
i.e. x= 15
Thus, we will need 15 cups of dressings for 30 pounds of vegetables.
B. As we have obtained the fractions,
2 cups : 4 pounds and 15 cups : 30 pounds
Using the butterfly method, we see from the diagram that these fractions are equivalent because the product of the numbers is equal to 60.
Answer:
P and Q are two points on the line x-y+1=0 and are at a distant of 5 units from the origin. Find the area of triangle POQ.
Step-by-step explanation:
P and Q are the intersection points of
x-y+1 = 0 and the circle x^2 + y^2 = 25
sub y = x+1 into the circle
x^2 + (x+1)^2 = 25
x^2 + x^2 + 2x + 1 - 25 = 0
x^2 + x - 12 = 0
(x+4)(x-3) = 0
x = 3 or x = -4
y = 4 or y = -3
so P(3,4) and Q(-4,3) are our two points
Height of triangle.
h = |0 - 0 + 1|/√2 = 1/√2
PQ = √( (-7)^2 + 1^2) = √50 = 5√2
area POQ = (1/2)(1/√2)(5√2) = 5/2 square units
hope this helped