Answer:
The area equal to a square that is 1 meter on each side. Used for measuring areas of rooms, houses, blocks of land, etc
Step-by-step explanation:
Answer:
Step-by-step explanation: Explanation:
If
L
,
H
and
W
represent the length, height and width of the prism, then the volume of the rectangular prism is :
V
=
L
.
H
.
W
............. (1)
Given :
V
=
x
3
+
11
x
2
+
20
x
−
32
;
............... (2)
W
=
(
x
−
1
)
;
H
=
(
x
+
8
)
.
Let
L
=
(
x
+
l
0
)
be the expression for the length, then the RHS of equation (1) becomes
L
.
H
.
W
=
(
x
−
l
0
)
(
x
+
8
)
(
x
−
1
)
,
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
(
x
+
l
0
)
(
x
2
+
7
x
−
8
)
=
x
3
+
(
7
+
l
0
)
x
2
+
(
7
l
0
−
8
)
x
−
8
l
0
..... (3)
Comparing this to the LHS of equation (1), we get the following set of equations to solve for
l
0
,
7
+
l
0
=
11
;
7
l
0
−
8
=
20
;
8
l
0
=
32
;
l
0
=
4
Therefore
L
=
(
x
+
4
)
answer:
x = 4
or 5.6568
step-by-step explanation:
- know the formula and plug in
formula: a^2 + b^2 = c^2
- now plug in what we have
- whatever the RIGHT ANGLE points to is the HYPOTENUSE or c
- the other two sides are the "legs" or a and b
a^2 + b^2 = c^2
7^2 + b^2 = 9^2
49 + b^2 = 81
b^2 = 32
b = 4
- in this case, b would be used as x
x = 4 or 5.6568 (exact value)
Answer:
yes because if the two least numbers add up to be larger than the biggest number than its a triangle
yes
no
yes
Step-by-step explanation:
idk if this is right but I tried
Answer:
The correct option is:
cosθ = -3/5
Step-by-step explanation:
We have been given that:
cotθ = 3/4
such that the terminal side of θ lies in III quadrant.
Consider it a right angled triangle.
We know that:
cotθ = Base / Perpendicular
Which means Base has a magnitude of 3 and Perpendicular has the magnitude of 4.
As It lies in III quadrant, both x and y are negative.
So
Base = -3
Perpendicular = -4
Find the hypotenuse by using Pythagoras Theorem
H² = (-3)² + (-4)²
H = 5
We know that:
cosθ = Base / Hypotenuse
cosθ = -3/5
