Answer:
Step-by-step explanation:
Calculate the distance d using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (6, - 2)
d = 
= 
= 
= ← exact distance
A certificate of deposit earns 1% interest every three months. The interest is compounded.
What is the value of a $35,000 investment after 6 years?
$37,153.21
$39,438.88
$44,440.71
$56,295.30
A. 37,153.21
<span>Let the height of tree be denoted as AB and the shadow cast by the tree be BE. ABE is the triangle formed the tree, rays and the ground. Let the height of the person be CD and the length of his shadow be DE. CDE is the triangle formed by the person, rays and the ground.
We have two triangles. Both the person and the tree stand vertically over the horizontal ground, therefore they make 90 degrees with the ground. The angle formed at the ground is the same for the both the triangles. Therefore, by AA similarity the two triangles are similar.
We know that if two triangles are similar, then their sides are proportional.
Therefore,
AB/CD =BE/DE
AB/6 = 143/11
AB= (143/11) *6
AB = 78 ft.</span>
Answer:
0.0906
Step-by-step explanation:
Given that the prevalence of a certain type of tree allergy is 0.26 in the general population
X- the no of persons having tree allergy is binomial since each persons is independent of the other and there are two outcomes.
Here n = 100
Required probability = the probability that exactly 26 of them will have this allergy
=
We know that
if PQ <span>is the perpendicular bisector of line MN
then
MQ=QM
and
NP=MP
so
6x+1=10x-17----------> 10x-6x=17+1-----> 4x=18---------> x=18/4----> x=4.5
QN=2x+5-----> QN=2*4.5+5-----> QN=14
the answer is
QN is 14</span>
