Answer:
Alex will need 14 bags
Step-by-step explanation:
B= 4(2x+7)+3(2x+7)
and
2x+7=2
First, we should solve the second equation to obtain x:
2x+7=2
2x=2-7
x= -5/2
Then, we use this answer to calculate B:
B=4(2(-5/2)+7)+3(2)
B=4(-5+7)+6
B=4(2)+6
B=8+6
B=14
Alex will need 14 bags
The answer is d because the line is cutting thru the x axis on 1/3 and then the line cuts thru the y axis on -2 so the answer would be 1/3x-2
9514 1404 393
Answer:
2√30 ∠-120°
Step-by-step explanation:
The modulus is ...
√((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30
The argument is ...
arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle
The polar form of the number can be written as ...
(2√30)∠-120°
_____
<em>Additional comments</em>
Any of a number of other formats can be used, including ...
(2√30)cis(-120°)
(2√30; -120°)
(2√30; -2π/3)
2√30·e^(i4π/3)
Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).
__
At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)
Answer:
50.28 inches
Step-by-step explanation:
From the Image, we can find the length of the arc of the semi-circle by dividing the circumference of the resulting circle by 2
Radius= 9in
C= 2πr
C=2*3.142*9
C=2*3.142*9
C= 56.556 inches
Hence the length of the arc is
=56.556/2
=28.278 inches
The perimeter of the shape
=28.278+5+12+5
=50.28 inches
Answer:
there are 6 six wheel trucks
Step-by-step explanation:
