Answer:
64.87° = 65°{ to the nearest degree}
Step-by-step explanation:
From the figure Catherine is standing 105m from the point B where the Ballon is; this description fits a= 105 m from the diagram.
Similarly Aisha is standing 95m from the point B where the Ballon is; this description fits c= 95 m from the diagram
A = ? ( The angle of elevation of Aisha towards the balloon)
C = 55°
From Sine rule
It states that the sine of an angle divided by its corresponding side is equal for all corresponding angles and sides along the triangle.
This is expressed mathematically as;
Sin A/ a= SinB/ b= SinC/c
We take the pairs of relevance;
Sin A/ a = SinC/c
There SinA = SinC/c × a
=Sin55/95 × 105
= 0.9053
A = Sin^(-1)[0.9053]
A = 64.87° = 65°{ to the nearest degree}
Answer is 1 year 1 month and 5 days
Answer:
41.67
Step-by-step explanation:
Using the tangent on the stick with shadow:
tan(θ) =
Using the tangent on the building:
tan(θ) = 
⇒ h = 25 · tan(θ)
= 25 ·
⇒ h = 41.66... ≈ 41.67
The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:
Area = length * width
From the image:
Length of AB = x + 4
Length of BC = x + 6
The area of rectangle ABCD = Length of AB * Length of BC
28 = (x + 4)(x + 6)
x² + 10x + 24 = 28
x² + 10x = 4
Comparing with x² + ax = b gives:
a = 10, b = 4
Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4
Find out more at: brainly.com/question/15019502
for all
in [-3, 0], so
is non-decreasing over this interval, and in particular we know right away that its minimum value must occur at
.
From the plot, it's clear that on [-3, 0] we have
. So

for some constant
. Given that
, we find that

so that on [-3, 0] we have

and
