Please help me out with this
1 answer:
Answer:
81.75 ft²
Step-by-step explanation:
The area (A) of a trapezoid is calculated using the formula
A = h (a + b)
where a, b are the parallel bases and h is the perpendicular height
Calculate h using the right triangle and the sine ratio
sin30° = =
Multiply both sides by 10
10 × sin30° = h, thus
h = 5
a = 12 and b = 8.7 + 12 = 20.7, hence
A = × 5 × (12 + 20.7)
= 0.5 × 5 ×32.7
= 81.75 ft²
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Answer:
The value of x is 108°
Step-by-step explanation:
Given interior angles of parallelogram are:
<u>The sum of interior angles of a parallelogram is 360°.</u>
We will use this information to find the value of x.
So adding up all the angles and putting the sum equal to 360 we get,
Taking LCM on left side of the equation, as it involves fraction
Multiplying both sides by 3
Dividing both sides by 10
Hence,
The value of x is 108°
The problem involves the volume of the water of the rectangular tank, so first we must find the volume of our water. For the volume we have;
Therefore our tank has an initial volume of 6250 cm³, but if you drop a cube with a side measuring 10 cm. the volume of the water in our tank increases. Giving us the expression;
Since we already have the volume of the water (which is 6250), we just need to find the volume of the cube using the same formula (<em>Volume = Lenght x Width x Height</em>);
Therefore our new volume when they are combined or when the cube is droped in the tank is 7250 cm³.
But we must remember since our tank would remain it's shape no matter how much water it holds it would always retain it's dimension of it's lenght and width (25x25), therefore it is possible to find the height of the new water level using this logic;
Therefore the height of the new water level is 11.6 cm.