Answer:
x=12
Step-by-step explanation:
Before starting this question, you need to know that the total degree of any given triangle is 180 degrees.
Now looking at the question, we know one side is 90 degree since it is a right triangle.
180-90=90
This let us know that the remaining two angles will have to add up to equal to 90 degrees.
2x+1+5x+5=90
First, combine like terms.
7x+6=90
Now we have to get x by itself, subtract 6 on both sides then divide by 7.
7x=84
x=12
Answer:
1
Step-by-step explanation:
When numbers are raised to an exponent/power, it means how many times you are multiplying the number by itself.
Follow BEDMAS order. (Brackets, exponents, division/multiplication, addition/subtraction).
Solve inside the brackets of (8^1)^0 first
(8^1)^0 8^1 is 8. (Any number ^1 is itself).
= 8^0 Any number to the power of 0 is 1.
= 1
You can also follow the exponent rule where: 
(8^1)^0 = 8^(1*0) = 8^0 = 1
Answer.3*n+2 =3+2 +3n+2Step-by-step explanation:
Answer:
a) 0.32
b) 0.68
c) office or den
Step-by-step explanation:
Locations Probabilities
Adult bedroom 0.03
Child bedroom 0.15
Other bedroom 0.14
Office or den 0.40
Other rooms 0.28
a)
P(PC in bedroom)= P(PC in adult bedroom)+ P(PC in child bedroom)+ P(PC in other bedroom)
P(PC in bedroom)= 0.03+0.15+ 0.14
P(PC in bedroom)= 0.32.
Thus, the probability that a PC is in a bedroom is 0.32.
b)
P(PC is not in bedroom)= P(PC in Office or den)+ P(PC in Other rooms)
P(PC is not in bedroom)= 0.40+0.28
P(PC is not in bedroom)= 0.68.
Thus, the probability that a PC is not in a bedroom is 0.68.
c)
When a household is selected at random from households with a PC we would expect to find a PC in a room which has a greater probability of having PC.
The greater probability of room having a PC is of Office or den room with probability 0.40. So, when a household is selected at random from households with a PC we would expect to find a PC in a Office or den room.
Answer:
16.6°
Step-by-step explanation:
area = ab sinθ a and b: base and oblique side length θ: angle between
26 = 9.3 x 9.8 sinθ
sinθ = 26 / (9.3 x 9.8) = 0.285276
θ = 16.6
