28mi/1 hr = 28 mi/60 min = 1 mi/(60/28) min =
28 mi/hr = 28 mi/60 min since there are 60 min in 1 hr
1 mi/(60/28) min since you divide top and bottom of 28/60 by 28 to get
1 mi/(60/28) min = 1mi/(15/7) min = 1 mi/ 2 1/7 min
Answer:
Step-by-step explanation:
Component form of a vector is given by 
, where 
represents change in x-value and 
represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector 
, the magnitude is 
.
190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being , one leg being , and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.
In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
To find the other leg, , we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:
Verify that 
Therefore, the component form of this vector is 
Answer:
y=2x+5
Step-by-step explanation:
Answer:
a) How many minutes does it take to make one balloon sculpture?
= 4 minutes
b) How many balloons are used in one sculpture?
= 6 balloons
Step-by-step explanation:
In 88 minutes, he uses 132 balloons to make 22 identical balloon sculptures.
a) How many minutes does it take to make one balloon sculpture?
22 identical balloon sculptures = 88 minutes
1 balloon sculpture = x
x = 88 minutes/22
x = 4 minutes
b) How many balloons are used in one sculpture?
22 balloon sculptures = 132 balloons
1 balloon sculpture = x
Cross Multiply =
22x = 132 balloons
x = 132 balloons/22
x = 6 balloons
There are 13 spades. 1/13
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