Answer:
x=3
Step-by-step explanation:
cross multiply
5(x+3)=3(x+7)
5x+15=3x+21
5x+15-3x=3x+21-3x
2x+15=21
2x+15-15=21-15
2x=6
x=3
Answer:55.44
Step-by-step explanation: I have do my work
Given:
PQRS is a circle, PQT and SRT are straight lines.
To find:
The value of x.
Solution:
Since PQRS is a circle, PQT and SRT are straight lines, therefore, PQRS isa cyclic quadrilateral.
We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.
Now, SRT is a straight line.
(Linear pair)
...(i)
According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.
Using exterior angle theorem in triangle QRT, we get
Therefore, the value of x is 103 degrees.
Answer:
For the part that contains organic matter your answer is, 35 negative result
For the part that does not contain organic matter your answer is, 60 positive result
Step-by-step explanation:
If we pay attention to the part that contains organic matter the total amount 700 and 665 is positive, so subtract them 700-665 to get 35 negative result
For the part that does not contain organic matter the total amount is 300, and 240 of it is negative, so subtract 240 from 300 to get 60 positive result
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Answer:
Step-by-step explanation:
Correct question
How many cubes with side lengths of ¼cm needed to fill the prism of volume 4 cubic units?
We know that,
Volume of a cube is s³
V = s³
Where 's' is length of side of a cube
Given that
The cube has a length of ¼cm, and a cube has equal length
s= ¼cm
Then, it's volume is
V = s³
V = (¼)³ = ¼ × ¼ × ¼
V = 1 / 64 cubic unit
V = 0.015625 cubic unit
Then, given that the volume of the prism to be filled is 4 cubic unit
Then,
As, we have to find the number if cubes so we will divide volume of prism by volume of one cube
Then,
n = Volume of prism / Volume of cube
n = 4 / 0.015625
n = 256
So, then required cubes to filled the prism is 256 cubes.
