Answer:
The lines are perpendicular, meaning if they were to intersect, they would form four right angles.
423 divided by 898 is 0.47104677...
Hope I could help! :)
Answer:
A. x = 58°
B. x = 10m
C. a = 44°
All approximated to nearest whole number.
Step-by-step explanation:
All triangles given are right angled triangles. Therefore, we would apply the trigonometry functions to solve for each missing side and angle.
Recall: SOHCAHTOA
a. Adjacent = 4.8cm,
Hypotenuse = 9cm
Angle to find =x°
Thus, we would apply the following formula:
Cos θ = Adjacent/Hypotenuse
Cos θ = 4.8/9 = 0.5333
θ = Cos-¹(0.5333) = 57.77
x ≈ 58° (to nearest whole number)
b. Opposite side = x
Hypothenuse = 40 m
Included angle = 14°
We would use:
Sine θ = opposite/hypothenuse
Sin (14) = x/40
Multiply both sides by 40
40*sin(14) = x
40*0.2419 = x
x = 9.676 = 10 m (to nearest whole number)
c. Opposite = 87mm
Adjacent = 91mm
θ = a°
We would use:
Tan θ = opposite/adjacent
Tan θ = 87/91
Tan θ = 0.9560
θ = tan-¹(0.9560)
θ = a = 43.71
a ≈ 44° (to nearest whole number)
The solution to the given system of linear equations is (3, -1)
<h3>Graph of Linear Equations</h3>
From the question, we are to determine the graph of the system of linear equations
The given system of equations is
x - 2y = 5
3x + 15y = -6
The graph of the given system of equation is shown below
From the graph,
The point of intersection of the lines is at (3, -1)
Hence, the solution to the given system of linear equations is (3, -1)
Learn more on Graph of Linear equations here: brainly.com/question/14323743
#SPJ1
Answer:
We need 4 topsoils
Step-by-step explanation:
I think your question is missed of key information that is the area of the flower bed, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
The flower bed is a triangle with its height is 5 cm and the base length is 12 cm, so we need to find out the area of it:
- S = Height*the base length = 5 * 12 = 60
So the bags of topsoil does Tom need to cover his flower bed is:
=
= 4
We need 4 topsoils