Answer:
height = 4 meters
h = 2A / ( a + b )
Step-by-step explanation:
Let A represent the area of the trapezoid, h, the height a, the length of one base and b, the length of the other base
Area of a trapezoid, A = ( a + b)* h / 2
Now let's slot in the given values
A= 18 sq meters
a = 3 meters
b = 6 meters
we have;
18 = ( 3 + 6 ) * h /2
18 = 9 * h /2
Cross multiply
18*2 = 9h
36 = 9h
divide both sides by the coefficient of h (9)
4 = h
therefore, h = 4 meters
To solve for h without substituting
From A = ( a + b )* h /2
cross multiply
2*A = ( a + b )* h
divide both sides by ( a + b )
2A / ( a + b ) = h
therefore,
h = 2A / ( a + b )
Answer:
5/6
Step-by-step explanation:
You write the question as such: 5/9 divided by 2/3.
After that, you keep the first fraction, flip the sign and the fraction.
You will get: 5/9 multiplied by 3/2.
When you get this, you then cross multiply and simplify as such.
5/3 multiplied by 1/2.
5/6 would be your solution.
Answer:
Scalene Acute Triangle
Step-by-step explanation:
The triangle above is an <em>"acute triangle"</em> because the measurement of each angle is <em>less than 90°</em>. However, there are three types of acute triangle and these are: <em>Equilateral Acute Triangle, Isosceles Acute Triangle and Scalene Acute Triangle.</em>
When all the angles have the same measurement of less than 90°, then it is an Equilateral Acute Triangle. If only two angles have the same measurement, it is an Isosceles Acute Triangle. If <u><em>none of the angles are the same </em></u>but all are less than 90°, which also means that the<u><em> sides are also unequal</em></u>, then it is an Scalene Acute Triangle.
The triangle above has <em>different angle measurements of less than 90°</em>. Therefore, it is an Scalene Acute Triangle.
Answer:
3/8
Step-by-step explanation:
So, three outcomes give two heads and a tail (HHT, HTH, THH). Therefore, the probability of getting two heads and a tail is 3/8.
