Answer:
AB = 3.9CM ; A = 51° ; C = 39°
Step-by-step explanation:
Base BC = 4.8cm
AC = 6.2cm
Angle B = 90°
Using trigonometry, the length of AB can be obtained thus :
AB^2 = AC^2 - BC^2
AB^2 = 6.2^2 - 4.8^2
AB^2 = 38.44 - 23.04
AB^2 = 15.4
AB = sqrt(15.4)
AB = 3.92 cm
Angle A :
Using :
Sinα = opposite / hypotenus
Sinα = 4.8 / 6.2
Sinα = 0.7741935
α = sin^-1 (0.7741935)
α = 50.73
A = 51° (approximately)
Angle C ;
(A + B + C) = 180 (Sum of angles in a triangle)
51 + 90 + C = 180
141 + C = 180
C = 180 - 141
C = 39°
Answer:
A. 23/30
Step-by-step explanation:
2/3+1/10
Find the LCM (Least Common Multiple):
20/30+3/30 = 23/30
Answer:
4/3
Step-by-step explanation:
Given function = p(x) = (6x-4)/x
First we will calculate p(1) and p(3)
p(1) = (6(1) - 4)/1 = 6-4 = 2
p(3) = (6(3) - 4)/3 = (18-4)/3 = 14/3
Rate of change on interval [1,3] = [p(3) - p(1)]/(3-1)
=> (14/3 -2)/(2)
=> (14-6)/(3*2)
=> 8/6
=> 4/3
So average rate of change is 4/3
Answer:
150 pens given away
Step-by-step explanation:
10% of 500 is 50
50x3=150
500-150=350
<span>Simplify 8 - {x - (5 + x)}:
Order of operations rules require that you perform work inside parentheses first. Thus, do this first: </span>x - (5 + x) => x - 5 - x => -5.
Now we have the following: 8 - {-5} => 8+5 = 13 (answer)
Please note: To avoid confusion, please separate answer choices, such as <span>3 13 -2x + 3 -2x + 13, by using commas or by putting each choice on its own new line:
</span><span>3
13
-2x + 13
I was and still am unsure of what you meant here.</span>
