Answer:
<h2>The answer is 15cm</h2>Step-by-step explanation:
Let b be the length of the second parallel side
Area of a trapezium is given by
where
h is the height
a and b are the parallel sides
From the question
Area = 230 cm²
height = 20cm
one of parallel side / a = 8 cm
Substitute the values into the above formula and solve for b
That's
Reduce the fraction with 2
That's
Expand the terms
That's
Divide both sides by 10
We have the final answer as
<h3>b = 15cm</h3>Hope this helps you
Answer:
87.0°
Step-by-step explanation:
The law of sines can be used to solve this. We have two sides of a triangle and the angle opposite one of them. We want to find the angle opposite the other known side.
In the attached, the triangle is ΔACS. We have side "a" = 9, and side "c" = 10. Angle A is given as 64°. The law of sines tells us ...
sin(C)/c = sin(A)/a
sin(C) = (c/a)sin(A)
C = arcsin((c/a)sin(A)) = arcsin(10/9·sin(64°)) ≈ 87.03°
The ladder makes an angle of about 87° with the ground.
Answer:
Step-by-step explanation:
The probability can be defined as the ratio between the possible events and the total number of outcomes.
In this case, according to the image attached, the total number of outcomes is 11, because they are 11 marbles in total.
Now, the specific event is all shaded marbles or labeled with a multiple of 3. With this specific characteristics 6 marbles, because there are 5 shaded marbles and 6 is a multiple of 3. So, the possible events are 6.
Therefore, the probability is
The right answer is the last choice.
