To find the surface area, you need to do the following:
A side of the figure is a trapezoid, so you should do 13+5x7 (since there are 2 of the same sides there is no need to divide by two.) and it should equal 126. To find the area of the top of the figure, you need to do 5x2 which equals 10. The area of the bottom of the figure is 26 (13x2), then do 2x3x2 to get the sides on the left and right of the figure. After all of this, add them together. (126+10+26+12=174.)
The surface area should be 174mm.
Answer:
The second option is the incorrect:
2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)^2
Step-by-step explanation:
Let's check each one of the factorizations:
1) x3 + 5x2 + 4x + x2 + 5x + 4 = (x + 4)(x + 1)^2
(x + 4)(x + 1)^2 = (x + 4)(x2 + 2x + 1) = x3 + 6x2 + 9x + 4
x3 + 5x2 + 4x + x2 + 5x + 4 = x3 + 6x2 + 9x + 4
This one is correct.
2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)^2
(d – 1)(2d – 3)^2 = (d - 1)(4d2 - 12d + 9) = 4d3 - 16d2 + 21d - 9
4d3 – 4d2 – 9d + 9 = 4d3 - 16d2 + 21d - 9
This one is incorrect.
3) 27h3 – 8k3 = (3h – 2k)(9h2 + 6hk + 4k2 )
(3h – 2k)(9h2 + 6hk + 4k2 ) = 27h3 - 8k3
This one is correct.
4) 64 – 9t2 = (8 + 3t)(8 – 3t)
(8 + 3t)(8 – 3t) = 64 - 9t2
This one is correct.
So the incorrect option is the second one.
Answer:
B
Step-by-step explanation:
To find the median we put the numbers from least to greatest, and cross out the smallest number with the biggest number, until we can't any longer.
54/96, 55/95, 60/89, 66/88, 69/83, 72/82, 73/75, 74/75.
Since we ended with 74 and 75, pick the decimal number that's in between those two numbers, 74.5.
74.5 is your median.
The mode is the number that's most frequent.
There are two 75's, so 75 is your mode.
Range is the difference of the highest number and the lowest number.
96-54=42.
The range is 42.
In real-life physics, acceleration due to gravity will change respect to altitude. Check out the attached image (source: Wikipedia).
However, in high-school physics, acceleration due to gravity is represented by the letter g, which has a value of 9.81 meters per second squared.
This means that an object being dropped straight down will be moving 9.81 meters per second faster than it was 1 second ago. I hope this helps! :)
