Answer: 7(5+6)
Step-by-step explanation:
The greatest common factor is the largest number that can both be divisible by 35 and 42
The distributive property is where a number is distributed to both numerals in the equation
Answer:
x+1
Step-by-step explanation:
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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19) 48 alligators; 7/8 of the alligators were asleep. How many were not asleep?
8/8 - 7/8 = 1/8
48 * 1/8 = 48/8 = 6 alligators were not asleep.
20) 2/3 of the student population participated. 1,500 is the student population of the school. HOw many attended the bike rally?
1500 * 2/3 = 1500*2 / 3= 3000 / 3 = 1000 students attended.
21) 18 times at bat:
Kayla 5/6 of the time = 18 * 5/6 = 18*5 / 6 = 90/6 = 15 hits
Tia 8/9 of the time = 18 * 8/9 = 18*8 / 9 = 144/9 = 16 hits
Tia got more hits.
Answer:
Volume of the cylinder = 
Step-by-step explanation:
Height of the Cylinder(h)=5 units
Radius(r)=2 units
Volume of a cylinder=
Putting the values in the formula;
Volume of the cylinder 
As,
Volume of the cylinder=
The Volume of the cylinder is 