Answer: 13
Step-by-step explanation:
180 - (154 + 13) = 13
the triangle is isosceles
I would say the answer is c. only graph d ,, think of the line test to see if a graph is a function or not
Answer:
B. 264
Step-by-step explanation:
Although the figure may look odd, This is just a square pyramid on it's side.
So, to find the surface area, we need to find the area of the base and the area of the faces and add them together.
To find the area of the base:
Since the base is a square, all we have to do is multiply 8 by itself.
8 * 8 = 64
The area of the base is 12.5 in^2
To find the area of the faces:
Since the faces are triangles, we have to multiply the length by the height and divide by 2.
8 * 12.5 = 100
100/2 = 50
The area of one face is 50 in^2
To find the surface area:
Add the area of the base to the area of all 4 sides.
64 + 4(50)
64 + 200 = 264
The surface area of the pyramid is B. 264 in.^2
Not sure how to give a hint without blatantly giving the answer but...
Consider an n - digit number in base b.
That is N=an−1an−2.....a0=∑k=0akbk
N
=
a
n
−
1
a
n
−
2
.
.
.
.
.
a
0
=
∑
k
=
0
a
k
b
k
Note aka
k
<
b
so we can easily show NN
<
b
n
(may have to repeat and argue inductively.
And presumably to be n - digit than an−1≠0
a
n
−
1
≠
0
so N≥bn−1
N
≥
b
n
−
1
.
So we have: every n digit number is between bn−1
b
n
−
1
inclusively and bn
b
n
exclusively. This should be blindingly obvious to us if b=10
b
=
10
.
So... that's a really important and fundamental result. Remember and use it.
