Answer:
x = 6√2, y = 6
Step-by-step explanation:
This is an isosceles triangle as one angle measures 45° and the other is a right angle, so it measures 90°.
Therefore, you know that y will equal 6.
You have to multiply a by √2 to find x.
6 x √2 = 6√2
Hope this helps!
The above formulas do not hold for r = 1. For r = 1, the sum of n terms of the Geometric Progression is Sn
n
= na.
(ii)When the numerical value of r is less than 1 (i.e., - 1 < r < 1), then the formula Sn
n
= a(1−rn)(1−r)
(
1
−
r
n
)
(
1
−
r
)
is used.
(iii) When the numerical value of r is greater than 1 (i.e., r > 1 or, r < -1) then the formula Sn
n
= a(rn−1)(r−1)
(
r
n
−
1
)
(
r
−
1
)
is used.
(iv) When r = 1, then Sn
n
= a + a + a + a + a + .................... to n terms = na.
(v) If l is the last term of the Geometric Progression, then l = arn−1
n
−
1
.
Therefore, Sn
n
= a(1−rn1−r
1
−
r
n
1
−
r
) = (a−arn1−r
a
−
a
r
n
1
−
r
) = a−(arn−1)r(1−r)
a
−
(
a
r
n
−
1
)
r
(
1
−
r
)
= a−lr1−r
a
−
l
r
1
−
r
Thus, Sn
n
= a−lr1−r
a
−
l
r
1
−
r
Or, Sn
n
= lr−ar−1
l
r
−
a
r
−
1
, r ≠ 1.
Answer:
m-1: 31 degrees & m-4: 149 degrees
Step-by-step explanation:
we can start with im very bad at explaining but will try my best.
Step 1:
look at what you're given and remember the rules and principles of finding angles. so were given m-6. when having parallel lines with a perpendicular line the opposing side of the intercept will be the same. meaning that if m-6 is 149 then its opposing side, m-8, will have the same degree. but we know that with straight lines are 180 degrees so now that we have that out of the way we can move to step 2
Step 2:
you have the given and the rules to go with, so now we will begin to apply it. like i was saying a line is 180 degrees, and when we put a line through that we end up having different degrees. although theres an intercept the line is still 180 degrees. so to find the aligning angle we just have to subtract the given angle by our own knowledge.
180-149=31 this aligns with everything in this. there are only 2 angles necessary. 149 and 31, all we have to do now is plug it in.
M-5: 31 degrees
m-6: 149 degrees
m-7: 31 degrees
m-8: 149 degrees
Step 3:
all those annoying angles we just got through, guess what, all you have to do is apply those same angles with m1-m4
M-1: 31 degrees
M-2: 149 degrees
M-3: 31 degrees
M-4: 149 degrees
Answer:
Area = 314 units^2
Step-by-step explanation:
Use the points (8, -6) and (0,0) to find the radius. You can use the distance formula. But distance formula is derived from Pythagorean theorem. You can see on the graph, if you did a sketch that the triangle formed is a 6,8,10 Pythagorean triple. Any way you calculate it, you will find the radius is 10. Area of a circle is (pi)r^2.
A = pi × 10^2
A = pi × 100
A = 100pi
Area approximately = 100(3.14)
= 314 units^2
Answer:
y= 3x
Step-by-step explanation:
This is honestly your basic times tables if we are being honest. We know that she read 3 paragraphs per minute. We also know that in 4 minutes, she read 12 paragraphs. 4 times 3 = 12. So the answer is y=3x.