Answer:
- b = 15
- c = 51
- c = 100
- b = 25.75
Step-by-step explanation:
Using the Pythagoras theorem equation:

Where 'c' is the hypotenuse and 'b' and 'a' the sides of the right triangle.
1) Here c = 17, a = 8 and b = ?
Then, using the above equation we can find the side b.


2) Here a = 24, b = 45 and c = ?

3) Here a = 28, b = 96 and c = ?
4) Here a = 17, b = ? and c = 28

Just in the 4 case x is an altitude.
I hope it helps you!
Answer:
The equation is;
y = -1/4x + 607.5
Step-by-step explanation:
Let us have the number of drops as y axis while the number of minutes is x axis
The points to use are;
(30,600) and (130,575)
The slope can be calculated using;
m = (y2-y1)/(x2-x1)
= (575-600)/(130-30) = -25/100 = -1/4
So the equation as we model using the normal equation of a straight line (y = mx + c, m is slope and c is the intercept)
y = -1/4x + c
To get c, we simply substitute one point
Let us use (30,600)
We have
600 = -1/4(30) + c
600 + 7.5 = c
c = 607.5
So the equation is ;
y = -1/4x + 607.5
Answer:
The correct option is A.
Step-by-step explanation:
Total number of students at the school is 2,500.
In the given pi chart Pink, Yellow and Sky Blue color represent the percentage of students that under reported, accurately reported, and over reported their heights respectively.
From the graph we can conclude that the yellow portion is approximately one fifth of whole circle. It means the number of students that accurately reported their height is one fifth of total number of students.

Therefore the number of students that accurately reported their height is 500. Option A is correct.
Answer:
The lengths of the sides are 20 cm and 20 cm
Step-by-step explanation:
Given
Perimeter, P = 80cm
Represent the length and width with L and W, respectively;

Substitute 80 for P

Divide through by 2


Make L the subject of formula

Area of a rectangle is calculated as thus;

Substitute 40 - B for L

Express this as a function


Set A(B) = 0 to determine the roots
Hence;

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The maximum area of a rectangle occurs at half the sum of the roots;
So;




Recall that 


<em>Hence the lengths of the sides are 20 cm and 20 cm</em>