42+7a= 7(6+a)
By noticing they both have a factor of 7, I was able to find the equation.
Hello,
Very nice like question!
a)
F(2)=3 ; G(2)=2
F'(2)=0; G'(2)=1/2
P'(x)=F'(x)*G(x)+F(x)*G'(x)
P'(2)=0*2+3*1/2=3/2
b)
F(7)=5; G(7)=1
F'(7)=1/4; G'(7)=-2/3
Q'(x)=(F'(x)*G(x)-F(x)*G'(x)) / G²(x)
Q'(7)=(1/4*1-5*(-2/3))/1²=1/4+5/3=23/12
Answer:
93.6
Semi circle - 31.81 (rounded)
Step-by-step explanation:
find the area of the triangle which is 1/2 6*5.2 -=15.6
there are 6 triangles so that means it has to be multiplied by 6 - 15.6*6 = 93.6
Use the semi cirlce formula- (pi*r^2)/2
In this situation that is (pi*4.5^2 )/2 = 31.81 (rounded)
The 30º-60º-90º triangle is a special case you'd do well to remember, because the legs always occur in the same ratio to one another. As your picture shows (I'm guessing "SL" stands for short leg?), the sides labeled 4, y and x occur in a ratio of 1 to √3 to 2.
This means
sin(30º) = SL/(2*SL) = 1/2
tan(30º) = SL/(√3*SL) = 1/√3
(and also cos(30º) = (√3*SL)/(2*SL) = √3/2, though you don't really need that here)
So in this triangle, x and y satisfy
sin(30º) = 4/x
tan(30º) = 4/y
This comes straight from the definitions of sine and tangent. Then
4/x = 1/2 ==> x = 8
4/y = 1/√3 ==> y = 4√3
8/7= 7/2x
2x= 16*7/8
2x =14
X=7
