So, in order to round the the tens, we need to look at the ones place.
So we look at the underlined digit and see if it is 5 or higher (it is)
289<u>5</u>
So, since it's 5, we raise the next place up. so now the 10's place has 10, so we need to raise the next place up further.
2900
Answer:
24 square units
Step-by-step explanation:
The area of a parallelogram is given by the formula ...
A = bh
where A represents the area, b the length of the "base", and h the "height" measured at right angles to the base.
Here, it is convenient to use one vertical side of the figure as the base. You can count the grid squares to see that it is 8 units long.
The height is then the distance from one vertical side to the other. Again, you can count the grid squares to see that it is 3 units.
The area is the product of these dimensions:
A = (8 units)·(3 units) = 24 units^2
Answer:
√23/√45 or √23/3√5
Step-by-step explanation:
Cosine is adjacent over hypotenuse. Angle W has an adjacent side of WU(√23) and WV .You know the adjacent but not the hypotenuse, so you will use the formula a^2+b^2=c^2 to find the hypotenuse. Plug in the sides for A and B -> (√23)^2+(√22)^2=c^2. Simplify it --> 23+22=c^2 --> 45=c^2. Solve for C alone (not c^2). √45=c. Then use the cosine formula (adjacent/hypotenuse) to plug in the numbers.
Answer:
<u>The solution of this system of equation is ( 3, - 8)</u>
Step-by-step explanation:
1. Let's solve the system of equations:
First equation:
x + 2y = - 13
x = - 13 - 2y
Second equation:
12x + 5y = -4
12 * (- 13 - 2y) + 5y = - 4 (Replacing x with - 13 - 2y)
-156 -24y + 5y = - 4
-24y + 5y = - 4 + 156 (Like terms)
-19y = 152
y = - 152/19
<u>y = -8</u> (Dividing by 19)
Solving x
x + 2y = -13
x + 2 (- 8 ) = - 13
x - 16 = - 13
x = - 13 + 16
<u>x = 3</u>
2. Proving that x = 3 and y = - 8 are correct:
12x + 5y = -4
12 * 3 + 5 * -8 = -4
36 - 40 = - 4
- 4 = - 4
<u>We proved that x = 3 and y = - 8 are correct</u>
