Answer:
number one. 186
number two. 36
Step-by-step explanation:
FOR NUMBER ONE:
the area of a trapezoid formula is
where a and b are the bases and h is the height. so we have to add in the numbers into the formula
= <em>81</em>
and the paralellogram formula is b×h. where b is the base and h is height
15 × 7 = <em>105</em>
so the area of the figure is 81 + 105 is 186 in^2
FOR NUMBER TWO:
the area of the square formula is
. where s is the side
4^2 = <em>16</em>
and for the paralellogram is b × h
4 × 5 = <em>20</em>
so the area of the figure is 16 +20 = 36 in^2
hope this helps! ;)
Answer:
∫
= 
Step-by-step explanation:
To find:
∫
Solution:
Method of substitution:
Let 
Differentiate both sides with respect to 

[use
]
So,
∫
= ∫
=
where
is a variable.
(Use ∫
)
Put 
∫
= 
Use 
So,
∫
= 
where 
Without using substitution:
∫
= ∫
= 
So, same answer is obtained in both the cases.
Answer:
5 / 28
Step-by-step explanation:
5/7 ÷ 20/5
= 5/7 x 5/20
= (5 x 5) / (7 x 20)
= 25 / 140 (divide numerator and denominator by 5)
= 5 / 28
9514 1404 393
Answer:
D. 9
Step-by-step explanation:
The segment lengths are equal, so ...
x^2 = 90-x
x^2 +x -90 = 0 . . . . . . add x-90 to put in standard form
(x +10)(x -9) = 0 . . . . . factor
The solutions are the values of x that make the factors zero: -10, 9.
The positive value of x is 9.
The answer is x=1/2 or 0.5