Answer:
height = 12 cm
base length = 4 cm
Step-by-step explanation:
area of a triangle
base length × height / 2
x = height
y = base length
x = y + 8
24 = y × (y + 8) / 2
48 = y × (y + 8) = y² + 8y
squared equation
y² + 8y - 48 = 0
solution
y = (-b ± sqrt(b² - 4ac))/(2a)
a = 1
b = 8
c = -48
y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =
= (-8 ± sqrt(256))/2 = (-8 ± 16)/2 = -4 ± 8
y1 = -4 + 8 = 4 cm
y2 = -4 - 8 = -12
but a negative base length did not make any sense, so only y = 4 remains.
x = y + 8 = 4 + 8 = 12 cm
Answer:
80%; 30%
Step-by-step explanation:
There is 5 blue marbles, 2 black marbles, and 3 red marbles. In other words, there is a total of 10 marbles.
There are only 2 black marbles and 8 marbles that are not black. Therefore, the probability of <em>not</em> drawing a black marble is 8/10 or 4/5 or 80%.
There are only 3 red marbles out of the 10 total marbles. Therefore, the probability of drawing a red marble is 3/10 or 30%.
<span><span>θi</span>=<span>sin<span>−1</span></span>(μsin<span>θr</span>)
=<span>sin<span>−1</span></span>(1.33×sin46.5)
=74.7degrees</span>
Step-by-step explanation:
As we can see the question given
f(x) is varying accordingly to the interval
<em> f(x) = 2 if 2<x≤4</em>
The value of function is 2 for the interval 2 to 4
and interval is open at x=2 and closed at x = 4
<em> f(x) = x + 3 if 4<x<8</em>
The value of function is x + 3 and it is open at x = 4 and x = 8
<em>f(x) = 2x if x 
8</em>
The value of function is 2x for x greater than or equal to 8
The image is attached for more clearing of doubt
Multiply the numbers than just add the two numbers
