Answer:
The measure of angle a is 45 degrees.
Step-by-step explanation:
Notice that since PS = RS, this is an isosceles triangle. This means that the base angles are equal. We also know that the sum of interior triangles of a triangle equals 180, then, if 'a' is the base angle, we have the following equation:
90 + a + a = 180
2a = 180 - 90 = 90
a = 90/2 = 45
a = 45
Answer:
Dimension of pools are length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft
Step-by-step explanation:
given that depth of pool = 8 ft
let say one side of pool that is width = x
so other side of pool that is lenght = 3.5x [ given ]
volume of rectangular swimming pool is same as amount of water required to fill the swimming pool = 4032 cubit ft
Volume of rectangular pool = length × width × depth of swimming pool
⇒ 4032 cubic ft = 3.5x × x × 8
⇒ 4032/(3.5 ×8 ) = x²
⇒x² = 144
⇒x = √144 = 12
⇒3.5x = 12 × 3.5 = 42
hence dimension of pools are length = 42 ft , width = 12 ft and depth = 8 ft that is 42ft × 12ft × 8 ft
Step-by-step explanation:
Answer:
To find increase/decrease, divide the starting number by the ending number.
<u>40 to 20</u>
20 ÷ 40 = 0.5
0.5 can be represented by 50%.
<u>20 to 40</u>
40 ÷ 20 = 2
2 can be represented by 200%. This is why decreasing 40 to 20 is a 200% increase. In the wording, it says it's a 100% increase. That would be 20 plus 20 times 1 (which is the same as 100%) which is 40.
Answer:
Step-by-step explanation:
It is given that:
log 2=a and log 3=b
This implies that:
and
Now we know that:
We substitute to get:
We simplify to get:
