Answer:
Step-by-step explanation:
Given
Required
Determine side x
The hypotenuse (H) is calculated using:
Substitute 9 for x:
So:
Answer:
f in chat
Step-by-step explanation:
11
12
90
8
8
0
112% of original=28
percent measn parts out of 100
112%=112/100=1.12
'of' means multiply
112% of original=28 means
1.12 times original=28
divide both sides by 1.12
original=25
original bill was $25
<h3>
Answer: x = -12</h3>
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Work Shown:
Let's label angle 2 as y, so y = x+132.
Also, let's add another variable z. We'll make z equal to the angle adjacent and supplementary to angle y. So y+z = 180
Solve for z to get
z = 180-y
z = 180-(x+132)
z = 180-x-132
z = 48-x
This angle z is added to the 90 degree angle to get the measure of the exterior angle 150 degrees. This is through the remote interior angle theorem.
So,
z+90 = 150
48-x+90 = 150
138-x = 150
-x = 150-138
-x = 12
x = -12
A1=8
common ratio=r
sum of 6 terms
S=a1+a2+a3+...+a6
=a1(1+r+r^2+...+r^5)
=a1(r^6-1)/(r-1)
but we're given S=74648
=>
8(r^6-1)/(r-1)=74648
Cross multiply and solve for r (by trial and error)
r^6-1=9331(r-1)
r=6
so
a(3)=a1*r^(3-1)
=8*(6^2)
=288