The one of the left isn't too tricky, in the bottom left of it you have 1/2 of 1/4 of the shape, and on the bottom right you have 1/4 of 1/4. Imagine the whole shape was cut up like that bottom right bit into 16 triangles, then you would have three of them shaded (see my diagram).
The one on the right seems like guesswork to me, so I'm sorry if I'm wrong. It look like you just have to use your eyes to work out how much of the bottom half of the shape is shaded: looks like 1/16 to me (i.e. you can draw four of those along and four down, again, see my diagram.) So plus the top half, which is 8/16, you get 9/16.
Answers: left picture: 3/16.
right picture: 9/16.
It's 30 or 60 degrees because those and 45 degrees are the only ones we're ever expected to know. Let's figure out which.
I'm not sure if this is trig. The trig solution is easy,
area = (1/2) a b sin C
16 = (1/2) (8)(8) sin C
16/32 = sin C
sin C = 1/2
C = 30 degrees.
Answer: (1) 30
There's also C=150 degrees that works, but not among the choices.
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It's harder if we don't have trig yet. An isosceles triangle, like here with a=BC=b=AC, is bisected in two by the altitude to the unique base, let's call it h=CD where D is the midpoint of AB.
We're told the area of ABC is 16. Euclid's Theorem for the area of a triangle is of course one half base times height.
area = 1/2 ch
16 = (1/2) ch
ch = 32
h=32/c = 2⁵/c
We're gonna need another equation. The two resulting triangles are right triangles, ADC and BDC, both right angles at D (that's what an altitude is) and both with an unknown base AD=c/2 (where c=AB) and hypotenuse a=b=8.
By the Pythagorean Theorem,
(c/2)² + h² = a² = 8² = 64
c²/4 + h² = 8² = 2⁶
There's pretty hard going ahead; I'll stop here and assume this is a trig problem.
Hey there!
First imagine this ladder as a right triangle, the length, 12 would be the slant height, the distance from the house, 5 would be the base length, and the height of how far up the ladder reaches would be the height of the triangle.
To represent this missing height, you can define it as the x variable.
Now, to solve for this x variable, you must use the Pythagorean theorem:
a^2+b^2=c^2
a and b are the two legs, and c is the slant length.
Now, plug in your known values:
(5)^2+(x)^2=(12)^2
Now, simplify:
25+x^2=144
Now, solve for x:
25+x^2=144
x^2=119
x=
x is about 10.9.
Therefore, your final answer would be that the ladder reaches approximately 10.9 feet up the house.
It is d. The h is the amount of hours and this must be paired with 25 because that is the rate do you can eliminate b and c. It is not a because that is making it so the cost is above 200 when you are trying to keep it below that