Answer:
DC = 21 ; BC = 26
Step-by-step explanation:
The perimeter of a rectangle is given by :
P = 2(length + width)
2x + 3
3x - 1
Perimeter, P = 94
Hence,
94 = 2(2x +3 + (3x - 1))
94 = 2(2x + 3 + 3x - 1)
94 = 2(5x + 2)
94 = 10x + 4
94 - 4 = 10x
90 = 10x
x = 90 /10
x = 9
DC = 2x + 3 = 2(9) + 3 = 18 + 3 = 21
BC = 3x - 1 = 3(9) - 1 = 27 - 1 = 26
Answer:
$70,201.38
Step-by-step explanation:
To determine the principal amount, we can use the formula:

A = $200,000
r = 7% or 0.07
t = 15 years
n = 12
Now let's substitute our values.



So the principal needed to get 200,000 in 15 years is $70,201.38.
Answer: You start to ascend
Explanation:
Since you are walking due south and the positive y-axis points north, the y-coordinate decreases.
Let

= y-coordinate after walking due south

= z-coordinate (or the height) after walking due south
So, the point where you stand after walking due south has a coordinate of

. Moreover,

Since the y-coordinate decreases after walking due south and

,

So, the height after walking due south exceeds 1,206 meters, which is the previous height before walking due south. Therefore, if you walk due south from point with coordinates (100, 120, 1206), you are ascending.
Answer: ∠P= 20°
<h3>
Step-by-step explanation: Well we know that the sum of a triangle always equals to 180°, so ∠P + 80 +80 = 180°
</h3>
∠P + 160 = 180
Subtract 160 from both sides, 160 on the left is cancelled so that 180-160 equals 20
∠P=20°
Answer:
the third one
Step-by-step explanation:
its easy