Answer:
12cm
Step-by-step explanation:
where:
c
is the hypotenuse, and
a
and
b
are the other two sides (legs).
Let
a
=
9 cm
Rearrange the equation to isolate
b
2
. Plug in the values for
a
and
c
, and solve.
b
2
=
c
2
−
a
2
b
2
=
(
15 cm
)
2
−
(
9 cm
)
2
Simplify.
b
2
=
225 cm
2
−
81
cm
2
b
2
=
144 cm
2
Take the square root of both sides.
b
=
√
144 cm
2
Simplify.
b
=
12 cm
<u>Understanding:</u>
The sum of a geometric series is, , with a being the start point and r is the common ratio. We can also use the following formula to make life easier , a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.
<u>Solution:</u>
Our start point is 1, ,
The common ratio is 5, ,
And finally, the number of terms is 7, .
The answer is [A] 19531.
A plane cuts horizontally across a rectangular pyramid will always be a rectangle. (Answer B)
Answer:
39/18 = 13/6 = 2 1/6
Step-by-step explanation:
factors are 1,2,3,6,9,18
so the reciprocals are
1/1, 1/2, 1/3, 1/6, 1/9, 1/18
when added the sum is 39/18 or 2 1/6
To find the value of r
We will follow the steps below
Usinf the equation of a slope:
slope(m) =
from the question given;
m= -3/4
x₁ = 3
y₁=4
x₂=-1
y₂=r
substituting the values into the slope formula
we can now simplify and then solve for r
cross-multiply
-3 x -4 = 4(r-4)
12 = 4(r-4)
Divide both-side of the equation by 4
3 = r - 4
add 4 to both-side of the equation
3+4 = r-4+4
7 = r
r=7
Therefore the value of r is 7