Answer:
Area = 18 sq. inches
Step-by-step explanation:
Hypotenuse = 6√2
as it is a right angled triangle and one of the angles is 45°,
=> the other angle is also 45°.
According to 45°-45°-90° theorem,
the side is 1/√2 times the hypotenuse.
Therefore, side = 6√2 × 1/√2
=6 inches.
Area of triangle = 1/2 × base × height
= 1/2 × 6 × 6
= 1/2 × 36
=18 sq. inches
The volume of the prism in the form of a trapezoid is given by:
V = Ab * h
Where,
Ab: base area
h: height
We have then:
Ab = (1/2) * (40 + 7) * (6)
Ab = 141 m ^ 2
Then, replacing we have:
V = (141) * (3)
V = 423 m ^ 3
Answer:
The prism volume is given by:
V = 423 m ^ 3
Answer:
NO=OP
Step-by-step explanation:
Answer:
Step-by-step explanation: x is our missing length
c^2=a^2+b^2
where c is the hypotenuse
28^2=24^2+x
x^2=28^2-24^2=784-576=208
x=
=14.4
Answer:
Option C.
Step-by-step explanation:
We need to find the correct definition of like terms.
Like terms :Two or more terms are called like terms if they have the same variables and same powers.
For example : 4xy and 9xy are like terms.
Option A is incorrect because 3x and 3 are not like terms.
Option B is incorrect because 6x and 9 are not like terms.
Option C is correct because like terms are terms that have the same variable factors as well as the same number of factors of each type. For example, 3x and 5x are like terms.
Option D is incorrect because 3x and 5 are not like terms.
Therefore, the correct option is C.