Answer:
7c-2
Step-by-step explanation:
7 times a number c tells us that we want to multiply c by seven. 2 less than tells us that we want to subtract 2 from 7c.
The longest line segment that can be drawn in a right rectangular prism that is 14cm long, 13cm wide and 11cm tall is 19.1cm.
<h3>What is a right rectangular prism?</h3>
A right rectangular prism is a three dimensional solid shape formed by 6 rectangles.
it is also called the cuboid.
Analysis:
The diagonal of the face of the prism with dimensions 14cm long and 13cm wide is the longest line segment that can be drawn.
Since rectangles have 90° on each vertex, we can use Pythagoras theorem to calculate for the length of the diagonal.
= 
+ 
= 
+ 
= 196 + 169 = 365
= 365
diagonal = 
= 19.1cm
In conclusion, the length of the longest diameter is 19.1cm
Learn more about Right rectangular prism: brainly.com/question/3317747
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Answer:
Step-by-step explanation:
Area of a triangle is A=(1/2)*base*height
A = (1/2)*(4.4)*(3.3) = 0.726 cm2
<u>Supplementary:</u> 1 and 2 & 3 and 4
Supplementary angles: A pair of angles whose sum is equal to 180°.
<u />
<u>Vertical:</u> 1 and 3 & 2 and 4
Vertical angles: A pair of opposite angles that are made by two intersecting lines.
<u>Complimentary:</u> None
Complimentary angles: A pair of angles whose sum is equal to 90°.
Hope this helps! :D
Answer:
Leg1 = 9 and leg2 = 12
Step-by-step explanation:
<u>Points to remember</u>
<u>Pythagorean theorem</u>
Hypotenuse² = Base² + Height²
<u>To find the length of each leg</u>
It is given that, hypotenuse = 15 feet
Let base = x the height = x +3
By using Pythagorean theorem we can write,
Hypotenuse² = Base² + Height²
15² = x² + (x + 3)²
225 = x² + x² + 6x + 9
2x² + 6x + 216 = 0
x² + 3x + 108 = 0
By solving we get x = 9 and x -12
Therefore one leg = 9 and other leg = 9 + 3 = 12
