Answer:
30 is 20% of 150 i.e. 20% of total 150 students in the marching bank play the trumpet.
Step-by-step explanation:
Draw two number lines:
- One number line to represent number of students from 0 to 150. For convenience, divide the number line into intervals of 15 so that 30 is also present on the line.
- Second number line to represent percentage and divide it in intervals from 1 to 100.
Now, place the other number line just below the other number line and draw a vertical line as shown the attached figure.
We find out that 30 is at 20% of 150.
It means that 20% (30 of total 150) of total 150 students in the marching band, play trumpet.
Given:
A diagram.
To find:
An angle that is supplementary to ∠KFA.
Solution:
Supplementary angle: Two angles are called supplementary angles if they are lie on the same side of a straight line and their sum is 180 degrees.
From the given diagram, it is clear that ∠KFA lies on the intersection of lines HL and IK.
∠KFA and ∠DFA lie on the same side of a straight line IK.
∠KFA and ∠KFL lie on the same side of a straight line HL.
So, ∠DFA and ∠KFL are the angles supplementary to ∠KFA.
We need only one supplementary angle. So, we write either ∠DFA or ∠KFL.
Therefore, an angle that is supplementary to ∠KFA is ∠KFL.
<u>Answer:</u>
<h2><em>1/10</em></h2>
<u>Step-by-step explanation:</u>
<em>3/5 is basically 6/10</em>
<em>7/10-6/10 is 1/10</em>
Answer:
2b + 3t = 60
Step-by-step explanation:
2b is the number of wheels on a bicycle
3t is the number of wheels on a tricycle
and 60 is the total number of wheels
You can use the Pythagorean Theorem to find the length of the third side AB (Identified as "x" in the figure attached in the problem), which says that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the legs:
a² = b²+c²
As we can see the figure, the triangle does not have an angle of 90°, but it can be divided into two equal parts, leaving two triangles with a right angle. We already have the values of the hypotenuse and a leg in triangle "A" , so we can find the value of the other leg:
b = √(a²-c²) b = √(10²-4²) b = 9.16
With these values, we can find the hypotenuse in the triangle "B": x = √b²+c² x = √(9.16)²+(4)² x = 10
