1. Area of triangle
1/2(10)(12)=60
There are two triangles, so multiply by 2
=120
2. Find area of the rectangles
This is an isosceles triangle, so the two rectangles are congruent
(2)(13)(3)=78
3. Find area of bottom rectangle
10(3)= 30
4. Add everything up
120+ 78 + 30= 228
Therefore the surface area of this prism is 228
I hope i helped :)
Answer:
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem,
a
2
+
b
2
=
c
2
, is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse. The relationship of sides
|
x
2
−
x
1
|
and
|
y
2
−
y
1
|
to side d is the same as that of sides a and b to side c. We use the absolute value symbol to indicate that the length is a positive number because the absolute value of any number is positive. (For example,
|
−
3
|
=
3
. ) The symbols
|
x
2
−
x
1
|
and
|
y
2
−
y
1
|
indicate that the lengths of the sides of the triangle are positive. To find the length c, take the square root of both sides of the Pythagorean Theorem.
c
2
=
a
2
+
b
2
→
c
=
√
a
2
+
b
2
It follows that the distance formula is given as
d
2
=
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
→
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
We do not have to use the absolute value symbols in this definition because any number squared is positive.
A GENERAL NOTE: THE DISTANCE FORMULA
Given endpoints
(
x
1
,
y
1
)
and
(
x
2
,
y
2
)
, the distance between two points is given by
d
=
√
(
x
2
−
x
1
)
2
+
(
y
2
−
y
1
)
2
Step-by-step explanation:
Opposite angles of a cyclic quadrilateral add up to 180 degrees so m<R = 180-92 = 88 and m < S = 180-92 = 88 degrees also
m< R = m< S Answer
10 = -8 + (n/4)
<u>+8 +8 </u>
4 · 18 = n/4 · 4
72 = n
Answer:
Trevor will need 2 drops of lavender oil if he uses 5 drops of rose oil.
Step-by-step explanation:
If 15/5 = 3
Then, all we have to do is 6/3=2.
So hence, Trevor will need 2 drops of lavender oil if he uses 5 drops of rose oil.
Thanks
