Answer:
a. −5x−1
b. 11x−1
Step-by-step explanation:
a = 30
a = 16
-a² + 46a -480 = 0
(-a + 30) (a -16) = 0
(-a)(a) + (-a)(-16) + 30(a) + 30(-16) = 0
-a² + 16a + 30a -480 = 0
-a² + 46a - 480 = 0
(-a + 30) = 0 ; (a - 16) = 0
-a = -30 ; a = 16
a = 30
To check:
a = 30
-(30)² + 46(30) - 480 = 0
-900 + 1380 - 480 = 0
480 - 480 = 0
0 = 0
a = 16
-(16)² + 46(16) - 480 = 0
-256 + 736 - 480 = 0
480 - 480 = 0
0 = 0
Answer:
Circumference of the can is 21.98 cm.
Step-by-step explanation:
Since, top of the cylinder can shown in the figure is in the shape of a circle
Circumference of a circle is given by the formula,
Circumference 'C' = π × Diameter
Where r = radius of the circle
Therefore, circumference of a circle with diameter 7 centimeters will be,
C = 7π
= 7 × 3.14
= 21.98 cm
Therefore, circumference of the can is 21.98 cm.
Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
We will be using simultaneous equations to solve this problem.
First we will establish the equations which we will be using as displayed below:
Equation No. 1 -
A + B = 90°
Equation No. 1 -
A = 2B + 12
To begin with, let's make ( A ) the subject in the first equation as displayed below:
Equation No. 1 -
A + B = 90
A = 90 - B
Next we will substitute the value of ( A ) from the first equation into the second equation and solve for ( B ) as displayed below:
Equation No. 2 -
A = 2B + 12
( 90 - B ) = 2B + 12
- B - 2B = 12 - 90
- 3B = - 78
B = - 78 / - 3
B = 26°
Then we will substitute the value of ( B ) from the second equation into the first equation to solve for ( A ) as displayed below:
A = 90 - B
A = 90 - ( 26 )
A = 64°
ANSWER:
Therefore, the answer is:
A = 64°
B = 26°
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Answer:
Step-by-step explanation:
all you have to do is divide each number by 4, 41, 42, 43, 44, 45, 46, 47, 48, 49 ,and 50 until you get a remainder of 1. what I mean is do 2 divided by all the number from 40 50 and do the same with 4,5,8 and 10 until you find one of them that has a remainder of 1. (is a lot of work sorry could't tell you the anwer)
