Answer:
30m squared carpet is needed to cover the hallway and the living room.
Step-by-step explanation:
Living room area
6 × 4.2 = 25.2
Hallway area
3.2 × 1.5 = 4.8
Total area
25.2 + 4.8 = 30m squared
Answer:
64.5°
Step-by-step explanation:
angle of elevation is the angle from the point where the shadow ends. this create a right angle triangle. using tan, you can find the angle.
tan theta = opposite/adjacent
angle = tan^-1(42/20)
angle = 64.5°
Answer:

Step-by-step explanation:
A vector perpendicular to the plane ax+by+cz+d=0 is of the form
.
So, a vector perpendicular to the plane x − y + 2z = 7 is
.
The parametric equations of a line through the point
and parallel to the vector
are as follows:

Put
and 
Therefore,

xy-plane:
Put z = 0 ⇒ t = -2 ⇒x = - 1 , y = 6
So, at point (-1,6,0)
yz-plane:
Put x = 0 ⇒ t = -1 ⇒ y = 5, z =2
So, at point (0,5,2)
xz-plane:
Put y = 0 ⇒ t = 4 ⇒ x = 5, z = 12
So, at point (5,0,12)
Answer:
The correct option is b.
Step-by-step explanation:
To find the number of solutions, we need to solve the equation:

Let's group all the "x" on the equation.
Now, let's solve for "x".
Therefore, the equation has one solution. The correct option is b.
I hope it helps you!
1. k+5=11
2. 7n=42
3. l+13=17
4. 10- p²=9
5. x²+y²=4