Answer:
A=24m^2
Step-by-step explanation:
to find the area of this figure you can approach it multiple ways, the simplest way is to split it into two rectangles
respectively one 6m by 3m and another 3m by 2m
find the areas of each rectangle and add them both to get the total area of the figure
(6m*3m)+(3m*2m)=(18+6)m^2=24m^2
<span>60
Sorry, but the value of 150 you entered is incorrect. So let's find the correct value.
The first thing to do is determine how large the Jefferson High School parking lot was originally. You could do that by adding up the area of 3 regions. They would be a 75x300 ft rectangle, a 75x165 ft rectangle, and a 75x75 ft square. But I'm lazy and another way to calculate that area is take the area of the (300+75)x(165+75) ft square (the sum of the old parking lot plus the area covered by the school) and subtract 300x165 (the area of the school). So
(300+75)x(165+75) - 300x165 = 375x240 - 300x165 = 90000 - 49500 = 40500
So the old parking lot covers 40500 square feet. Since we want to double the area, the area that we'll get from the expansion will also be 40500 square feet. So let's setup an equation for that:
(375+x)(240+x)-90000 = 40500
The values of 375, 240, and 90000 were gotten from the length and width of the old area covered and one of the intermediate results we calculated when we figured out the area of the old parking lot. Let's expand the equation:
(375+x)(240+x)-90000 = 40500
x^2 + 375x + 240x + 90000 - 90000 = 40500
x^2 + 615x = 40500
x^2 + 615x - 40500 = 0
Now we have a normal quadratic equation. Let's use the quadratic formula to find its roots. They are: -675 and 60. Obviously they didn't shrink the area by 675 feet in both dimensions, so we can toss that root out. And the value of 60 makes sense. So the old parking lot was expanded by 60 feet in both dimensions.</span>
Answer:
B.
Step-by-step explanation:
I graphed it but you could also use the y intercept to determine which function matches the graph
log(x+1)<u>+3</u>
the +3 at the end of the function makes the y-intercept positive 3
Answer:
360
Step-by-step explanation:
You will need 2 * 2 * 2 for the smallest number to be divisible by 8 with all the others.
You will need 3 * 3 for the smallest number to be divisible by 9 with all the others.
Finally you will need 1 five
The smallest number divisible by all of these is 2*2*2*3*3*5 = 360
- 360/2 = 180 works
- 360/3 = 120 works
- 360/5 = 72 works
- 360/6 = 60 works
- 360/8 = 45 works
- 360/9 = 40 works.
There is no smaller number below 360 which will work.
Answer:371.41
Step-by-step explanation:
this is because you just need to carry the number over to the next place if the sum of the digits( example 8+9=17) if it is greater than 10
