Answer:
$122.89
Step-by-step explanation:
The two number you have in this equation are 108.75 and 13% (or .13)
first you want to multiply 108.75 to .13
108.75 * .13 = 14.1375
Now, you add 14.1375 to 180.75 and round to the nearest hundredth
180.75+ 14.1375=122.8875
$122.89
Answer:
<em>96π units²</em>
Step-by-step explanation:
Find the diagram attached
Area of a sector is expressed as;
Area of a sector = θ/2π * πr²
Given
θ = 3π/4
r = 16
Substitute into the formula
area of the sector = (3π/4)/2π * π(16)²
area of the sector = 3π/8π * 256π
area of the sector = 3/8 * 256π
area of the sector = 3 * 32π
<em>area of the sector =96π units²</em>
Answer:
See the attached figure 2.
Step-by-step explanation:
The question is as shown at the attached figure 1.
given: The garden is a right triangle with base 10 m and height 15 m.
We need to draw the garden such that 1 unit on the grid represents 2 m.
So the scale factor is 1 unit = 2 m
base = 10 m = 10/2 = 5 units
height = 15 m = 15/2 = 7.5 units
So, the garden on the grid will be a right triangle with base 5 units and height 7.5 units.
See the attached figure.
Given parameters:
Bearing of the tree from the house = 295°
Unknown:
Bearing of the house from the tree = ?
Solution:
This is whole circle bearing problem(wcb). There are different ways of representing directions from one place to another. In whole circle bearing, the value of the bearing varies from 0° to 360° in the clockwise direction.
To find the back bearing in this regard, simple deduct the forward bearing from 360°;
Backward bearing = 360° -295°
= 65°
The bearing from house to the tree is 65°
As a general rule to solve the problem we are going to transform all values to the lower unit.
a. 3 km 9 hm 9 dam 19 m + 7 km 7 dam
3,000 m 900 m 90 m 19 m + 7,000 m 70 m = 4,009 + 7,070 = 11,079 m
b. 5 sq.km 95 ha 8,994 sq.m + 11 sq. km. 11 ha 9,010 sq. m.
5,000,000 sq m 95,0000 sq m 8,994 sq m + 11,000,000 sq m 110,000 sq
9,010 sq m
5,103,994 sq m + 11,119,010 sq m = 16,223,004 sq m
c. 44 m – 5 dm
44 m - 0.5 m = 43.5 m
d. 73 km 47 hm 2 dam - 11 km 55 hm
73,000 m 4,700 m 20 m - 11,000 m 5,500 m
77,720 m - 16,500 m = 61,220 m
