Answer:
2(k+5)
Step-by-step explanation:
Factor 2k+10
2k+10
=2(k+5)
Answer:
2(k+5)
Answer:
Step-by-step explanation:
We have the equations
4x + 3y = 18 where x = the side of the square and y = the side of the triangle
For the areas:
A = x^2 + √3y/2* y/2
A = x^2 + √3y^2/4
From the first equation x = (18 - 3y)/4
So substituting in the area equation:
A = [ (18 - 3y)/4]^2 + √3y^2/4
A = (18 - 3y)^2 / 16 + √3y^2/4
Now for maximum / minimum area the derivative = 0 so we have
A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0
-3/8 (18 - 3y) + √3 y /2 = 0
-27/4 + 9y/8 + √3y /2 = 0
-54 + 9y + 4√3y = 0
y = 54 / 15.93
= 3.39 metres
So x = (18-3(3.39) / 4 = 1.96.
This is a minimum value for x.
So the total length of wire the square for minimum total area is 4 * 1.96
= 7.84 m
There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.
Answer:
∠ADB=35°
Step-by-step explanation:
Given arc AB = 70°.
we have to find the angle ∠ADB
Here, Angle subtended by arc AB at O is ∠AOB = 70°
By the theorem,
The angle subtended by an arc at the center is double the angle subtended by it at any point on the remaining part of the circle.
∴ ∠AOB=2(∠ADB)
⇒ 
hence, angle subtended at the circumference is 35°
Answer:
<u>x = 5</u>
Step-by-step explanation:
See attached image.
P=18
l=5 cm greater than the width
w=5 less than the length
USE YOUR NUMBER SENSE!!! - just plug in different number below 4 to figure out the width
3=w 3+5=8 8+8=16+6=22 WILL NOT WORK
2=w 2+5=7 7+7=14 14+2+2= 18 WE HAVE A WINNER!!!!
FInal Answer: width: 2 cm and length: 7 cm
