Here, we want to find the diagonal of the given solid
To do this, we need the appropriate triangle
Firstly, we need the diagonal of the base
To get this, we use Pythagoras' theorem for the base
The other measures are 6 mm and 8 mm
According ro Pythagoras' ; the square of the hypotenuse equals the sum of the squares of the two other sides
Let us have the diagonal as l
Mathematically;
Now, to get the diagonal, we use the triangle with height 5 mm and the base being the hypotenuse we calculated above
Thus, we calculate this using the Pytthagoras' theorem as follows;
Answer: 3580.50
Step-by-step explanation:
Answer:
Step-by-step explanation:
GH bisects ∠FGI
∠HGI = ∠HGF
4x - 14 = 3x - 3
4x = 3x - 3 + 14 {Add 14 to both sides}
4x = 3x + 11 {Subtract 3x from both sides}
4x - 3x = 11
x = 11
∠HGI = 4x - 14
= 4*11 - 14
= 44 - 14
= 30°
∠FGI = 30 + 30
= 60°
Let
x-------> the number of fiction books
y-------> the number of nonfiction books.
we know that
-----> equation
-----> equation
Add equation and equation
<u>find the value of y</u>
therefore
<u>the answer is</u>
Part a) the number of fiction books is
Part b) the number of nonfiction books is