1.) To find the surface area, we want to find the area of each side, then add them all up together:
Area of base=lwA=(5)(5)A=25 cm²
Area of triangle=1/2bhA=(1/2)(5)(12.5)A=31.25 cm²
Since the 4 triangles have the same area, we can multiply the area we found by 4 and then add the area of the square:
SA=(4)(31.25) + 25SA=125+25SA=150 cm²
2.) <span>To find the volume use the formula:
V=(1/3)lwh
V=(1/3)(5)(5)(12.5)
V=104.167 cm^3</span>
45 + 32 + 37 = 114
114÷3 = 38
4 total quizzes,
for a 40 average on 4 quizzes she needs 40*4 = 160 total points
for 3 quizzes she has 45 +32 +37 = 114 points
160-114 = 46, she needs at least a 46 on the 4th quiz
The proportion pop/total = 5/7 is presumed to hold for the next 500 songs.
pop/500 = 5/7
pop = 500*5/7 ≈ 357
357 of the next 500 songs downloaded are expected to be pop songs.
Answer:
y=2x-2
Step-by-step explanation:
Slope intercept form = y=mx+b
Where m=slope and b= y intercept
Reminder: the y intercept is where x=0
Looking at the graph, the y intercept is given as (0,-2)
There are also two points given (0, -2) and (2,2)
Reminder: to find the slope, divide the changes in y by the changes in x or substitute the numbers into this equation: y2-y1/x2-x1
2-(-2)/2-0=4/2
m=2
Now that we have the slope and y intercept, sbstitute into the equation y=mx+b:
y=2x-2