Answer:
Arc length MK = 15.45 units (nearest hundredth)
Arc measure = 58.24°
Step-by-step explanation:
Calculate the measure of the angle KLN (as this equals m∠KLM which is the measure of arc MK)
ΔKNL is a right triangle, so we can use the cos trig ratio to find ∠KLM:

where:
is the angle- A is the side adjacent the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
= ∠KLM- A = LN = 8
- H = KL = 15.2



Therefore, the measure of arc MK = 58.24° (nearest hundredth)

Given:
- r = 15.2
- ∠KLM = 58.24313614°


Answer:
1:500000
Step-by-step explanation:
1 mm (map) equals 500 m (actual) .
Let's convert 500 m to mm.
1m = 1000mm
500m = 500000 mm
So 1mm to 500000mm on a scale is
1:500000
So it's all about converting the metre to million metre then doing the ratio.
In this case we are not to divide anything because it's already in 1.
So it's 1mm on paper then 500000mm on actual.
Thank you
Answer:
$8.00+$3.00+$3.00=$14.00
Step-by-step explanation:
3x+11=65
3x=54
x=18
180-(35+65)=y
180-100=y
80=y
a) Cube area = 6a^2
a = 6(5.25)^2
5.25 * 5.25 = 27.5625 * 6 = 165.375
Rounded, thats 165.38
b) Rectangular prism area = 2(wl + hl + hw)
Lets say l = 6.8, w = 8.2, h = 10
It equals about 441.52