Y = 104°
z = 24
Angle y° and (5z - 44)° are linear pairs, meaning that the two measures together will add up to 180°.
To solve for z, know that (5z - 44)° and 76° are vertical angles, meaning that both angles are the same.
So simply set them equal to each other to find z:
5z - 44 = 76
5z = 76 + 44
5z = 120
z = 24
Now to solve for y, remember that since (5z - 44)° and 76° are vertical angles, they are the same, meaning you can denote (5z - 44)° as simply 76°. Like I said earlier, y and 76° are a linear pair so simply subtract 76 from 180 to find y:
180 - 76 = 104°
If A represents an angle, its complement is 90-A.
If m<1 = 36, then its complement is 90-36 (degrees), or 54 (degrees).
Answer: One side could be 18 and the other side will be 33.
Step-by-step explanation:
- Side #1 = 18
- Side #2 = 2x - 3
- Side #3 = x
<u>One way of setting up the inequality is: Side #2 + Side #3 > Side #1</u>
<u />
<u>Another way of setting up the inequality is: Side #1 + Side #3 > Side #2</u>
<u />
<u />
<u>Final way of setting up the inequality is: Side #1 + Side #2 > Side #3</u>
<u />
<em />
<em>Therefore, we have the range for our value of x, which is between 7 and 21. Any possible value between works. Negative measurements are rejected. One of the sides would equal the x-value, while the other side would equal the value of 2x-3.</em>
Step1: Find the area of the triangular lawn
Given, base of the triangle is y metres and the height is z metres
Area of the triangle =
2
1
× base × height
Therefore, area of the triangular lawn =
2
1
yz metre
2
.
Step 2:Find the cost of planting the grass
Rate of planting the grass is Rs. x per square metre.
Therefore, the cost of planting the grass on a triangular lawn =cost per square meter × area of the triangular lawn
=x×
2
1
yz=
2
1
xyz
Hence, the cost of planting the grass on a triangular lawn whose base is y metres and height is z metres is Rs.
2
1
x y z.
Step-by-step explanation:
Answer:
C = 6pi units
or
C is approximately 18.84 units
Step-by-step explanation:
The circumference of a circle is given by
C = pi *d
The diameter is 6 units
C = 6*pi units
If we approximate pi by 3.14
C = 6*3.14
C = 18.84 units
