Answer: c) choosing a consonant from the set {b, c, d, e, f}
Step-by-step explanation:
Since all of the choice sets have 5 values each, a 0.8 chance = 80% =
.
So find the set with 4 values that meet the criteria.
A: 5/5 = 1 = 100%
B: 1/5 = 0.2 = 20%
C: 4/5 = 0.8 = 80%
D: 0/5 = 0 = 0%
Answer:
<u>Please read the answers below.</u>
Step-by-step explanation:
Let's recall that in a square all its sides are equal length and all the four internal angles measure 90 °
5. If LN = 46, then we have:
OM = <u>46</u> (Same length than LN)
PN = LN/2 = 46/2 = <u>23</u>
ON = √LN²/2 = √ 46²/2 = √ 2,116/2 = √ 1,058 = <u>32.53 (Rounding to two decimal places)</u>
MN = ON = <u>32.53</u>
6. m ∠EFG = <u>90°</u>
m ∠GDH = ∠GDH/2 = 90/2 =<u> 45°</u>
m ∠FEG = ∠DEF/2 = 90/2 =<u> 45°</u>
m ∠DHG = 180 - (∠GDH + ∠DGH) = 180 - (45 + 45)= 180 - 90 = <u>90</u>°
7. Solve for x
6x - 21 = ∠PQR/2
6x - 21 = 90/2
6x - 21 = 45
6x = 45 +21
6x = 66
<u>x = 11</u>
Answer:
5.9125in^2
Step-by-step explanation:
Step one:
Given data
Dimension of square= 5.25 in
Area of sqaure= 5.25^2= 27.5625 in^2
We are told that the sides of the circle touch the sides of the square
hence the diameter of the circle is 5.25in
radius= 5.25/2= 2.625 in
Area of circle= πr^2
Area of circle = 3.142*2.625^2
Area of circle=3.142*6.890625
Area of circle= 21.65 in^2
Step two:
The area that is not inside the circle
=Area of square-Area of circle
=27.5625- 21.65
=5.9125in^2
Answer:
Step-by-step explanation:
The GCF of 11 and 14 is 1.