Answer:
$14000
Step-by-step explanation:
Given parameters:
Amount earned by employee x = $5250
Time duration = 3weeks
Unknown:
Amount earned in 8 weeks = ?
Solution:
Let us first find the rate of employee x earning;
Rate = 
Insert parameters;
Rate = 
= $1750/week
So,
In 8 weeks;
Amount earned = rate x time duration
Amount earned = $1750/week x 8weeks
Amount earned = $14000
<u>Finding x:</u>
We know that the diagonals of a rhombus bisect its angles
So, since US is a diagonal of the given rhombus:
∠RUS = ∠TUS
10x - 23 = 3x + 19 [replacing the given values of the angles]
7x - 23 = 19 [subtracting 3x from both sides]
7x = 42 [adding 23 on both sides]
x = 6 [dividing both sides by 7]
<u>Finding ∠RUT:</u>
We can see that:
∠RUT = ∠RUS + ∠TUS
<em>Since we are given the values of ∠RUS and ∠TUS:</em>
∠RUT = (10x - 23) + (3x + 19)
∠RUT = 13x - 4
<em>We know that x = 6:</em>
∠RUT = 13(6)- 4
∠RUT = 74°
Answer:
let me answer this and i will come back
Step-by-step explanation:
Answer:
<u>The three equations:</u>
- y = 15x, wolf
- y = 10x + 15, you
- y = 5x + 20, friend
<u>Compare the equations with wolf and you and with wolf and your friend:</u>
- 15x = 10x + 15
- 5x = 15
- x = 3 seconds
It will take 3 seconds before you are caught by the wolf
- 15x = 5x + 20
- 10x = 20
- x = 2 seconds
It will take 2 seconds before your friend is caught by the wolf, he will be caught a second before you.
Use Pythagorean theorem (a squared is equal to c squared minus b squared)
Where a is the unknown leg, c is the hypotenuse and b is the known leg
a^2 = 13^2-5^2 which is 144
Then square root one hundred and fourty four to get rid of the power on a
Square root of one hundred and fourty four is twelve
