Answer:
Sinx = 5/13
cosy = 5/13
cosy = sinx ; they both share a proportional relationship
Step-by-step explanation:
From the attached triangle, since the triangle is right angled, we can use trigonometric functions where ;
sinx° = opposite / hypotenuse
From Pythagoras ;
Hypotenuse = √(opposite² + adjacent²)
Hypotenus = √(12² + 5²)
Hypotenus = 13
Sin x° = opposite / hypotenus = 5 / 13
Sin x° = 5/13
Cos y = adjacent / hypotenus = 5 / 13
Hence,
sinx = cosy
Therefore, they both share a proportional relationship.
Answer:
4
Step-by-step explanation:
t is replaced by 4 and t = hours
Alright,
directix is y=something so it opens down or up
we use
(x-h)²=4p(y-k)
the vertex is (h,k)
and p is distance from focus to vertex
if focus is above directix, p is positive
if focus is below directix, p is negative
so we gts
focus=(1,1)
directix is y=-1
1>-1
focus is above
oh, vertex is in middle of focus and directix
so
beteeen (1,1) and y=-1 is, hmm
that is a distance of 2 vertically
2/2=1
1 down from (1,1) is (1,0)
vertex is (1,0)
p=1
so
(x-1)²=4(1)(y-0)
solving for y to get into f(x)=something form
(x-1)²=4y
y=1/4(x-1)²
f(x)=1/4(x-1)²
4th option
Answer:
m<F = 79 degrees
Step-by-step explanation:
As per the given information;
m<E = 22, the triangle EDF (the one that is given in the picture) is isosceles (meaning that the sides are congruent).
In an isosceles triangle, (a triangle where the sides are congruent) the base angles (the angles opposite to the two congruent sides) are also congruent. One should also know, that in an isosceles triangle, like in any triangle, the sum of the measures of the angles equals 180 degrees.
Using this we can say that
m<D = m<F
To keep it simple while solving the problem, let's say that they have a value of x degrees.
So,
m<E + m<D + m<F =180
Subsitute
22 + x + x = 180
Simplify and inverse operations
22 + x + x = 180
-22 -22
2x = 158
/2 /2
x = 79
So the measure of <D and <F is 79 degrees.
<span>The earnings by a stock invested at r% for n years is obtained by the formular A = P(1 + r)^n; where P is the initial investment = 1,500; r is the interest rate = 10% and n is the numberof years of the investment. Here A = 1,500(1 + 0.1)^18 = 1,500(1.1)^18 = 8,339.88.Hope this helps. Let me know if you need additional help!</span>
