Answer:
144
Step-by-step explanation:
Let the first number be x, the second number will be (24-x)
The maximum product can be found by differentiating P(x) which is the product function.
P(x)=x(24-x)
P'(x)=24-x^2, Critical point is 12
P"(12)=-2x=-2*(12)=-24, 12 is the point of maximum product.
first number is 12 and the second number is 24-12=12
Product is 144
Answer:
C) 2/9
Step-by-step explanation:
There are 9 total marbles in the bag and 2 are yellow.
Probability = (number of desired outcomes)/(number of total outcomes)
Here the desired outcome is pulling a yellow marble, there are 2 ways we can do that since there are 2 yellow marbles.
The total number of outcomes is 9 since there are 9 total marbles in the bag
Our fraction is 2/9
Step-by-step explanation:
2x+30+x+72°=180
3x+30=180°-72°
3x+30=108°
The hint is given by the translation with respect to the y-axis. Since the translated y-coordinate is subtracted with 4, it is translated 4 units downwards. Since the x-coordinate is added with 2, that means that<em> the original coordinate is moved 2 units to the right.</em>
Answer:
R= 20.88 ft
Step-by-step explanation:
See the diagram attached, this satisfies the condition, ΔKLM is enclosed in a circle of radius R.
LN=16 ft (given)
The value of KM is 2R because as the ∠KLM forms an angle of 90°, therefore, the line KM passes through the center.
Area of a triangle =
Now let's find he area of the ΔKLM=
=
Also the area can be found out by =( As KLM is a right angled triangle)
KL= KM cos 25°= 2R cos 25°
LM= KM cos 55°= 2R sin 25°
Area= x 2R cos 25°x 2R sin 25 °
= sin 50°
sin 50°= 16R
R sin 50°=16
R= 20.88 ft