Answer:
1153.5 miles (first answer choice)
Step-by-step explanation:
'1000 miles east' is the change in x ('the run'), and '575 miles south' is the change in x (the 'rise'). Since these two vectors form a right angle, we can immediately apply the Pythagorean Theorem without worrying about signs:
d = √(1000² + 575²) = 1153.5 miles (first answer choice)
Answer:
y = 4/3x +2
Step-by-step explanation:
The graph crosses the y-axis at y=2, so that is the y-intercept.
The points have a rise of 4 units for each horizontal run of 3 units, so the slope is ...
m = rise/run = 4/3
The slope-intercept equation for the line is ...
y = mx +b . . . . . . line with slope m and y-intercept b
y = 4/3x +2
Yolanda will sew 54 buttons in 3 days.
If she sews 3 sweaters a day then, by the end of each day she will have 18. After three days she will have 54.
hope this helps and have an awesome day !
Answer:
59.25 currency ; No. of cans rounded to next whole number
Step-by-step explanation:
Draw a perpendicular line frrom the 12m. line onto the 20m. line. We get a rectangle on the left and a right-triangle on the right.
Using Pythagorous theorem,
Fence = m = 15 m
So, area of the lawn = ( 1/2 ) * ( 12 + 20 ) * 16 sqm = 240 sqm
So, number of cans needed = 240/100 = 2.4 ≈ 3 [Cause cans can't be partially bought ]
Total cost = 3 * 19.75 currency = 59.25 currency
( However, if cans can be partially bought, then total cost = 47.4 currency )
Answer:
Recursive
a(1) = 9 ; a(n+1) = 3 * a(n)
Explicit
a(n) = 9 * 3^(n-1)