Answer:
Area of a triangle = bh/2
Area of a rectangle = bh
The area of the triangles are the same, the area of the rectangles are the same.
triangle: 9x8/2
72/2 = 36
Rectangle: 8x14=112
There are 2 triangles and 3 rectangles so,
2(36)+3(112)
72+336= 408 in²
Answer:
0.62 = 0.62 × 100/100 = (0.62 × 100)/100 = 62/100 = 62%;
In other words:
1) Multiply that number by 100.
2) Add the percent sign % to it.
Answer:
A) it converges
B) 1998.047
C) 2000
d) The sum is getting smaller and smaller
Step-by-step explanation:
Formula: a_n+a_1*r^(r-1)
(1000*((0.5^10)-1))/(0.5-1)=1998.047
(1000*((0.5^30)-1))/(0.5-1)=2000
Answer:
255.5 miles
Step-by-step explanation:
146 miles - 2 hours
x miles - 3.5 hours
Cross multiply
2x = 146 x 3.5
2x = 511
Divide both sides by 2
x = 511/2
x = 255.5 miles
Answer:
y = 9x/5 + 50
Step-by-step explanation:
We are represent the information as coordinate (x,y)
If the cost for an order of 100 kilograms of steel bars is $230, this is expressed as (100, 230)
Also if the cost for an order of 150 kilograms of steel bars is $320, this is expressed as;
(150, 320)
Find the equation of a line passing through the points. The standard form of the equation is expressed as y = mx+c
m is the slope
c is the intercept
Get the slope;
m = y2-y1/x2-x1
m = 320-230/150-100
m = 90/50
m = 9/5
Get the y-intercept by substituting m = 9/5 and any point say (100, 230) into the expression y = mx+c
230 = 9/5(100)+c
230 = 9(20)+c
230 = 180 + c
c = 230-180
c = 50
Get the required equation
y = mx+c
y = 9/5 x + 50
Hence an equation for the cost of an order of steel bars (y) in terms of the weight of steel bars ordered (x) is y = 9x/5 + 50
