Answer:
Area = 160 cm²
Perimeter = 55.31 cm
Step-by-step explanation:
Applying,
Area of the figure = area of the rectangle- area of the triangle
A = lw+bh/2............... Equation 1
From the question,
Given: l = 16 cm, w = 12 cm, h = 8cm, b = 8 cm
Substitute these values into equation 1
A = (16×12)-(8×8/2)
A = 192-32
A = 160 cm²
Perimeter P = /BC/+/CD/+/DE/+/EF/+/FG/+/GA/
Applying pythagoras theorem to get /FG/
FG² = GE²+EF²
FG² = 8²+8²
FG² = 64+64
FG² = 128
FG = √128
FG = 11.31 cm
Therefore,
P = 16+12+4+8+11.31+4
P = 55.31 cm
Answer:
Linear non-linear
x<2 , x>5 2<x<5
Step-by-step explanation:
When a function is linear then the graph is a straight line
When the function is not linear then the graph is like a curve
From x = - infinity to 2 the graph is a straight line
So from - infinity to 2, the function is linear, that is x<2 function is linear
from 2 to 5 the graph is like a curve , so it is not linear
2<x<5 , the function is not linear
From x = 5 to infinity the graph is a straight line
So from 5 to infinity, the function is linear, that is x>5 function is linear
Answer:
85°
Step-by-step explanation:
The triangle pictured is an isosceles triangle because side KJ = LJ.
this means that ∠JKL = ∠JLK = x°
Also recall that all interior angles of a triangle add up to 180°
Hence,
180° = ∠JKL + ∠JLK + ∠KJL
180 = x + x + 10
180 = 2x + 10 (subtract 10 from both sides and rearrange)
2x = 180 - 10
2x = 170 (divide both sides by 2)
x = 170 / 2 = 85°
198 feet in 5 seconds. You have to multiply the feet per second by how many seconds he is going to travel
Answer:
1194 students last year
Step-by-step explanation:
The problem statement tells us ...
98% × (students last year) = 1170
Dividing by 98%, we get ...
1170/0.98 = (students last year) = 1193.88 ≈ 1194
___
<em>Check</em>
1170/1194 = 0.979899... ≈ 0.98 = 98%