Answer: $1846
Step-by-step explanation:
First and foremost, we should note that there are 52 weeks in a year. Therefore the biweekly payment of John will be gotten by dividing his gross income by 26 weeks i.e (52weeks/2) since it's biweekly.
Therefore, the gross income on each paycheck will be:
= $48,000.00 / 26
= $1846.15
= $1846 approximately
The gross income on each paycheck is $1846.
Answer:
48 ft
Step-by-step explanation:
Here, we want to find the length of the wire
from the diagram, we can identify two similar triangles
The smaller one and a bigger one
Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal
We can start by getting the height of the tower
we have this as:
8/11 = 28/x
8 * x = 28 * 11
8x = 308
x = 308/8
x = 38.5 ft
So as we can see, the wire represents the hypotenuse of the larger triangle that measures 28 ft base and 38.5 ft height
So we can use the Pythagoras’ theorem to get the hypotenuse
Let us call this g
mathematically according to the theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
thus, we have it that;
g^2 = 38.5^2 + 28^2
g^2 = 2,266.25
g = √2,266.25
g = 47.61 which is approximately 48 ft
The distance from the tower to the fire is 529.10feet
<h3>Angle of depression</h3>
The distance from the tower to the fire is the hypotenuse of the resulting triangle
Given the following
- Height of the tower = 110ft
Using the SOH CAH TOA identity
sin theta = opp/hyp
sin 12 = 110/H
H = 110/sin12
H = 110/0.2079
H = 529.10
Hence the distance from the tower to the fire is 529.10feet
Learn more on SOH CAH TOA here: brainly.com/question/20734777
Answer:
Jhonny said
Step-by-step explanation:
I like pizza
Answer:
b=-10
c=25
Step-by-step explanation:
if the only solution is 5 so
x^2+bx+c=(x-5)²=x²-10x+25
b=-10
c=25
