Answer:
t, representing weight, in pounds, of the newborn baby
Step-by-step explanation: I
am 80% sure sorry if wrong
Answer:
x=10
Step-by-step explanation:
Let's solve your equation step-by-step.
40−x=3x
Step 1: Simplify both sides of the equation.
40−x=3x
40+−x=3x
−x+40=3x
Step 2: Subtract 3x from both sides.
−x+40−3x=3x−3x
−4x+40=0
Step 3: Subtract 40 from both sides.
−4x+40−40=0−40
−4x=−40
Step 4: Divide both sides by -4.
−4x
−4
=
−40
−4
x=10
Answer:
angle of intersection: 5.2°
Step-by-step explanation:
The direction vector normal to the plane is ...
n = (1, 1, 3)
The direction vector of the line is ...
m = (1, -3, 1)
Then the angle θ between them can be found from the dot product:
n•m = |n|·|m|·cos(θ)
(1·1 +1(-3) +3·1) = 1 -3 +3 = 1 = √(1²+1²+3²)·√(1²+(-3)²+1²)·cos(θ)
1 = 11·cos(θ)
θ = arccos(1/11) ≈ 84.8°
This is the angle between the line and the normal to the plane, so the angle between the line and the plane will be the complement of this. Since this angle is not 90°, <em>the line and plane must intersect</em>.
acute angle = 90° -84.8° = 5.2°
_____
The attached graph shows the line and plane meet at a shallow angle, consistent with the above answer.
Answer:
431,707
Step-by-step explanation:
To figure out the total number, you need to divide the part of the whole by the percentage it is of the whole. This means that you need to divide 35,400 by 8.2%.
Before dividing the percentage, you need to convert it to a decimal.
8.2% = 0.082
Divide the number to find the answer.
35,400/0.082 = 431,707.3
Converted to the nearest whole number, the answer is 431,707.
<span>i Ace</span>hello :
let : A(-6,6) B(6,-2)
the center is w((-6+6)/2 , (6-2)/2)....(midel <span>[ AB]
w(0 ,2)
the ridus is : r = AB/2
AB = </span>√(-6-6)²+(6+2)² = √(144+64) =<span>√208/2
</span>an equation in <span>standard form equation of the circle :
</span>(x+0)²+(y-2)² = (√208/2)²=208/4 = 52
