Answer:
Surface area =250 m^2
Step-by-step explanation:
Given the length of the prism is 10m
width is 5m and height is 5m
The formula for surface area =
2(length times width)+2(width times height)+2(height times length)
Plug in all the values in the formula
Surface area =
Surface area =250 m^2
Answer:
JK = 83 , m∠A = 70° , m∠ALM = 110°
Step-by-step explanation:
* Lets explain how to solve the problem
∵ ABCD is a trapezoid
∴ DC // AB
∴ m∠D + m∠A = 180° ⇒ interior supplementary angles
∵ m∠D = 110°
∴ 110° + m∠A = 180° ⇒ subtract 110° from both sides
∴ m∠A = 70°
∵ L is the midpoint of AD, and M is the midpoint of BC
∴ LM is the median of trapezoid ABCD
∴ LM // AB and DC
∴ m∠D = m∠ALM ⇒ corresponding angles
∵ m∠D = 110°
∴ m∠ ALM = 110°
- The length of the median is half the sum of the lengths of the two
parallel bases
∴ LM = 1/2 (AB + DC)
∵ AB = 96 units and DC = 44 units
∴ LM = 1/2 (96 + 44) = 1/2 (140) = 70 units
- In the quadrilateral ABML
∵ AB // LM
∵ AL ≠ BM
∴ ABML is a trapezoid
∵ JK is its median
∴ JK = 1/2 (AB + LM)
∵ AB = 96 units ⇒ given
∵ LM = 70 units ⇒ proved
∴ JK = 1/2 (96 + 70) = 1/2 (166) = 83
∴ JK = 83 units
Answer:
Step-by-step explanation:
Answer:
Step-by-step explanation:
Isolate x on one side of the equation.
x/-12=-0.4
x(-12)/-12=(-0.4)(-12) (First, multiply by -12 from both sides.)
(-0.4)(-12) (Solve.)
(-0.4)(-12)=4.8
x=4.8
So, the final answer is x=4.8.
B.) O2
C.) NaCL
D.) CuF2
Answer:
Oxygen is considered a diatomic molecule because the normal molecule consists of 2 atoms.
Step-by-step explanation:
We know that the area of a parallelogram is the base * the height of it, so if we divide both sides by the height, then area/height=base. Therefore, we must divide the area by the height. To divide using polynomials, we first set it up similar to a regular long division problem:
______________________
2x+3 | 2x²+13x+15
Next, we take the first component of the numerator (2x² in this case) and divide it by the first component of the denominator (2x) to get x. That will form the start of our answer, and at the bottom, we will subtract our numerator by the denominator (2x+3) multiplied by the start of our answer (x). Therefore, we have
_x_____________________
2x+3 | 2x²+13x+15
-(2x²+3x)
_______________
10x+15
We then repeat the process until we finish, and whatever's left at the top is our answer. If there's something left, that's our remainder.
_x+5_____________________
2x+3 | 2x²+13x+15
-(2x²+3x)
_______________
10x+15
- (10x+15)
_________________
0
Therefore, our base has a length of x+5.
Feel free to ask further questions, and Happy Holidays!