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:
1.73
Step-by-step explanation:
Arelli use 6.9 pints of white and blue paints for her bedroom
3/4 of this amount is white
3/4
= 0.75×100
= 75
100-75
= 25
Amount of blue paint is
25/100×6.9
= 0.25×6.9
= 1.73
Answer:
atq= let no.be x and y
x= 4y-3.......(1)
x-2y=7....(2)
subtracting both eqn
x-x+2y=4y-3-7
2y=4y-10
-2y= -10
y=5 ........second no.
first no...x=7+2y=7+10=17.......first no....
Answer:
35
Step-by-step explanation:
Let number = x
(1/5 of x) + (3 * x) = 42 + (2 * x)
x/5 + 3x = 42 + 2x
1/5x + 3x - 2x = 42
1 1/5x = 42
6/5 x = 42
x = 42 ÷ 6/5
x = 42 * 5/6
x = 210 / 6
x = 35
The number is 35
Answer:
96 ways
Step-by-step explanation:
Let´s call flags of countries from Africa as A₁, A₂, A₃, A₄, and from Europe as E₁, E₂, E₃ and E₄
We have to display the flags always beginning with one flag from Africa let´s take A₁
For that flag, we have 4! possibilities Then 4! is:
4*3*2*1 = 24
As we have 4 different Flags from Africa, we will have
4*24 = 96 possibilities