Answer:
12
Step-by-step explanation:
= 144
x*x = 144
x = 12
Hope this helps :)
Have a nice day!
For this case, the first thing you should do is define a variable.
We have then:
t: temperature (degree Fahrenheit).
We write then the inequation that adapts to the problem:
t> = 451
Answer:
an inequality that is true only for temperatures at which books spontaneously catch on fire is:
t> = 451
Answer:
x = 30
Step-by-step explanation:
In the figure attached,
Two lines are parallel and one line having two adjacent angles (4x)° and (x + 30)° are the transverse.
Sum of interior consecutive angles = 180°
So the sum of these angles = 180°
(4x)° + (x + 30)° = 180°
(4x + x) + 30 = 180
5x + 30 = 180
5x = 180 - 30
5x = 150
x = 30
Therefore, value of x = 30
See diagram
I wrote that the degrees are 70 each because it is isocolese and 140/2=70
a.
to solve for the diagonal, I'm going to use trig to find the height and the base then use pythagorean theorem to find the diagonal
so
see I've drawn an auxiliry line to make a right triangle on the leftmost side
so
we want to find the height and base
sin(70°)=h/7
so 7sin(70°)=h≈6.57785
cos(70°)=base/7
so 7cos(70°)=base≈2.39414
now
the entire long base is 22, so that big triangle with the diagonal as the hyptonuse is 22-2.39414=19.6059
use pythagorean theorem, like 6.57785²+19.6059²=diagonal²
we get that the diagonal is about 20.68ft
b.
we got that the base was 7cos(70°)
2 of those bases so 22-14cos(70°)=17.2117ft or rounded 17.21ft
a. 20.68ft
b. 17.21ft
Answer:
the area of the parallelogram = base times the height
For the given parallelogram :
x = 8 units, y = 13 units, and h = 11 units
1) If x is the perpendicular to h
So, the base = 8 and the height = 11
So, the area = 8 * 11 = 88 square units
2) If y is the perpendicular to h
So, the base = 13 and the height = 11
So, the area = 13 * 11 = 143 square units