Answer:
85 square inches
Step-by-step explanation:
I think your question missed key information, allow me to add in and hope it will fit the orginal one. Please have a look at the attached photo
My answer:
From the question, four congruent equilateral triangles with the following information:
=> The area of the quilateral triangle is:
=1/2*the base*the height
= 1/2*60.6*7
= 21.21 square inches
=> the surface area of Abby's decoration is:
= 4 * The area of the quilateral triangle
= 4*21.21
= 84.84 square inches
≈ 85 square inches
Hope it will find you well.
Find the reciprocal of 3/5 (by flipping the fraction)
5/3
Multiply 5/3 by 3/4
3/4(5/3)= 15/12= 1 1/4
Martina can walk 1 1/4 miles in one hour.
Hope this helps!
Answer:
-4/5, -2.5, -1.1, 0.8, 9/5
Step-by-step explanation:
Answer:
√
8
≈
3
Explanation:
Note that:
2
2
=
4
<
8
<
9
=
3
2
Hence the (positive) square root of
8
is somewhere between
2
and
3
. Since
8
is much closer to
9
=
3
2
than
4
=
2
2
, we can deduce that the closest integer to the square root is
3
.
We can use this proximity of the square root of
8
to
3
to derive an efficient method for finding approximations.
Consider a quadratic with zeros
3
+
√
8
and
3
−
√
8
:
(
x
−
3
−
√
8
)
(
x
−
3
+
√
8
)
=
(
x
−
3
)
2
−
8
=
x
2
−
6
x
+
1
From this quadratic, we can define a sequence of integers recursively as follows:
⎧
⎪
⎨
⎪
⎩
a
0
=
0
a
1
=
1
a
n
+
2
=
6
a
n
+
1
−
a
n
The first few terms are:
0
,
1
,
6
,
35
,
204
,
1189
,
6930
,
...
The ratio between successive terms will tend very quickly towards
3
+
√
8
.
So:
√
8
≈
6930
1189
−
3
=
3363
1189
≈
2.828427
Answer:
436
Step-by-step explanation:
(10 x 15 x 2) + (12 x 18 x 1/2) + 18 + 10 = SA
300 + (12 x 18 x 1/2) + 18 + 10 = SA
300 + 108 + 18 + 10 = SA
300 + 108 + 28 = 436
436
