Answer:
meters
Step-by-step explanation:
The bathroom is in the shape of a square. The area of square is given as:

Where
s is the length of the side
We know area is 100, thus:

The side length of the square is 10 meters.
The distance from one corner to another corner is known as the "diagonal".
We use the formula below to get the distance of the diagonal:

Where
d is the length of diagonal
s is the length of side [here, 10]
THus, length of diagonal is:
meters
Answer:
5 marbles
Step-by-step explanation:
Assume the first is color 1
and then the second is color 1
Now the third is color 2
The fourth is color 2
Now the 5th marble of either color will make 3 of one color
Answer: -1
Step-by-step explanation:
Answer:
1. 17.27 cm
2. 19.32 cm
3. 24.07°
4. 36.87°
Step-by-step explanation:
1. Determination of the value of x.
Angle θ = 46°
Adjacent = 12 cm
Hypothenus = x
Using cosine ratio, the value of x can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos 46 = 12/x
Cross multiply
x × Cos 46 = 12
Divide both side by Cos 46
x = 12/Cos 46
x = 17.27 cm
2. Determination of the value of x.
Angle θ = 42°
Adjacent = x
Hypothenus = 26 cm
Using cosine ratio, the value of x can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos 42 = x/26
Cross multiply
x = 26 × Cos 42
x = 19.32 cm
3. Determination of angle θ
Adjacent = 21 cm
Hypothenus = 23 cm
Angle θ =?
Using cosine ratio, the value of θ can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos θ = 21/23
Take the inverse of Cos
θ = Cos¯¹(21/23)
θ = 24.07°
4. Determination of angle θ
Adjacent = 12 cm
Hypothenus = 15cm
Angle θ =?
Using cosine ratio, the value of θ can be obtained as follow:
Cos θ = Adjacent /Hypothenus
Cos θ = 12/15
Take the inverse of Cos
θ = Cos¯¹(12/15)
θ = 36.87°