Step-by-step explanation:
an object and its shadow create a right-angled triangle.
2 objects and their shadows create 2 similar right-angled triangles.
that means the angles are the same, and the side lengths of one triangle all correlate with the corresponding side lengths of the other triangle via the same factor.
so,
42 × f = 6
f = 6/42 = 1/7
the length of Joel's shadow is then
20 × f = 20 × 1/7 = 2.857142857... ft
Answer:
$30341.88
Step-by-step explanation:
Because it says simple interest, use the formula I = Prt.
(I is interest, r is the % rate as a decimal, t is the time)
So, you have to solve the equation,
1755 = P (0.065)(9)
Since 0.065 x 9 = 0.585, the equation can be simplified to
1755 = 0.585P
Then, to get P, you divide both sides by 0.585
P = 1755/0.585 = $30341.88
X=-4 that might be the correct awnser
Answer:
C. increases rapidly.
Step-by-step explanation:
tan(θ) = sin(θ)/cos(θ)
Now, when sin 90 = 1
and cos 90 = 0
so, tan(90) = 1/0 = not defined.
<em>(1/0 is infinity and its value is not defined)</em>
So, when angle θ increases to 90°, then the value of tan(θ) increases rapidly, as shown in the figure below.
