Answer:
Perpendicular = 31.73 ft (Approx)
Step-by-step explanation:
Given:
Length of rope (Hypotenuse) = 36 ft
Base = 17 ft
Find:
Height of pole (Perpendicular)
Computation:
Perpendicular = √Hypotenuse² - Base²
Perpendicular = √36² - 17²
Perpendicular = √1,296 - 289
Perpendicular = 31.73 ft (Approx)
Nancy started the year with $425 in the bank and is saving $25 each week. Sam started the year with $705 but is spending S15 a week. Write a system of equations that model the following situation.
Define cach variables with a "Let" statement, write two equations, and solve completely.
Answer:
Step-by-step explanation:
Let x equal number of weeks and y equal money in the bank.
Nancy, y=425+25x
Sam, y=705-15x
The system of equations:
Nancy: [tex]y=\$425+\$25x[/tex]
Sam : [tex]y=\$705-\$15x[/tex]
Given:
Amount in Nancy's bank = $425
Amount saved by Nancy each week = $25
Amount in Sam's bank = $705
Amount spend by Sam each week = $15
To find:
The system of equations describing the given models.
Solution
1) Amount in Nancy's bank = $425
Amount saved by Nancy each week = $25
Let the number of weeks Nancy saving her money be 'x'.
Let the total amount of money in Nancy's bank after x weeks be 'y'.
[tex]y=\$425+\$25\times x\\y=\$425+\$25x[/tex]
The equation for Nancy:
[tex]y=\$425+\$25x[/tex]
2)
Amount in Sam's bank = $705
Amount spend by Sam each week = $15
Let the number of weeks Sam spending his money be 'x'
Let the total amount of money left in Sam's bank after x weeks ='y'
[tex]y=\$705-\$15\times x\\y=\$705-\$15x[/tex]
The equation for Sam:
[tex]y=\$705-\$15x[/tex]
Learn more about system of equations here:
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Can anyone help?!
(it's a 3 mark question)
Answer:
2x+3x+x-30=180(sum of interior angle of triangle)
6x=180+30
x=210/6=35
Answer:
2x+3x+x-30=180
6x=180+30
x=210/6=35
Step-by-step explanation:
Terri weighed 95 lbs last month. This month she weighed 105 lbs.
What is the percent of increase?
Answer:
10 Ib. difference so maybe 0.99
Step-by-step explanation:
4x+x=25 what will x equal??
Answer:
5
Step-by-step explanation:
4x5=20
20+5=25
use synthetic division to find the quotient when 3x^3-13x^2+2x-5 is divided by x-4?
Answer:
Step-by-step explanation:
4_| 3 -13 2 -5
12 4 24
3 1 6 19
3x^2 + x + 6 + 19/(x - 4)
IF YOU KNOW THE ANSWER PLSSS HELP
Answer: G=-5+3/x
Step-by-step explanation:
What is the area of this triangle?
Answer:
The area of the triangle is 24 inches.
Step-by-step explanation:
First you multiply 8 by 6.
8 * 6 = 48
Next you divide by 2 because a triangle is half of a square.
48 ÷ 2 = 24
So, the answer is 24.
Hope this helps! :)
The area of triangle with base 6 inches and height 8 inches is 24in² .
Given, Right angled triangle .
Area of triangle = [tex]\frac{1}{2} \times b \times h[/tex]
Here,
b = base of triangle
h = height of triangle
Substitute the values,
Area of triangle = [tex]\frac{1}{2} \times b \times h[/tex]
[tex]= \frac{1}{2} \times 6 \times 8\\ = 3 \times 8\\= 24in^2[/tex]
Know more about area of triangle,
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The figure is made up of 2 rectangles and 2 right triangles.
What is the area of the figure?
173 units2
253 units2
277 units2
325 units2
Answer:
Answer: It would be the bottom triangle is 60 the right triangle is 36 the left rectangle is 24 and the left triangle is 12 so u add them together and get 132 units squared
Step-by-step explanation:
so its 253 units
Step-by-step explanation:
WILL GIVE BRAINIEST!!!!!! ONLY IF ITS RIGHTTT
Answer:
y = 5
Step-by-step explanation:
Perpendicular means forming a 90 degree angle. In y=5, the line is horizontal and only touches (0,5). When compared to the y-axis, they intersect at 90 degrees so it is y = 5
I need help ASAP! Thank you!
Help Help Help .!
repeated multiplication using a negative fraction .
[tex] {4}^{3} = 63[/tex]
x+3y=10 what is the slope of the line
Answer:
-1/3 is the slope of the line
Step-by-step explanation:
Answer:
[tex]-\frac{1}{3}[/tex]
Step-by-step explanation:
y = mx + b
m is the slope and b is the y-intercept.
Subtract x from both sides of the equation.
x - x + 3y = 10 - x
3y = 10 - x
Divide each term by 3.
[tex]\frac{3y}3y} = \frac{10}{3} + \frac{-x}{3}[/tex]
[tex]y = \frac{-x}{3} + \frac{10}{3}[/tex]
Rewrite in slope intercept form.
[tex]y = -\frac{1}{3}x + \frac{10}{3}[/tex]
simplify 12 + -24 ÷ -6 * 2
Show stack method
Answer:
4
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
12+4 x 2
12+8= 20
Solve for X when......................
Answer:
-2 2
3 0
-1 -5
Step-by-step explanation:
-2 + 0 = -2 -5 + 7 = 2
1 + 2 = 3 0 + 0 = 0
3 + (-4) = -1 - 4 + (-1) = -5
Given f(x) = -x + 2, find f(-5).
Answer:
7
Step-by-step explanation:
We have the expression -x + 2 and are asked to solve if x = -5.
Since we know the value of x, we need to replace x with the amount it is.
-x + 2 if x = -5.
-(-5) + 2
Negative cancels a negative.
5 + 2
7
Select all possible solutions
help!
- Find the length of the missing side of the light the
8 cm
15 cm
A.)289 cm
B.)17 cm
C.)23 cm
D.)4.79 cm
Answer: I think its D
Step-by-step explanation:
Randy’s circular garden has a radius of 1.5 feet. He wants to enclose the garden with edging that costs $0.75 per foot. About how much will the edging cost?
Answer:
$2.25 is answer
perimeter of circular garden=2πr=2×π×1.5=3πfeet
1 foot=$0.75
3πfeet=3×$0.75=$2.25
(3,4) and (18,24) are ordered pairs on a line that represents a proportional relationship. which other ordered pair could be on the line?
What are the two ratios that are equivalent to 2:9
Answer:
bc
Step-by-step explanation:
2:9 is equivalent to
18: 81 because is 2*9 : 9*9
12:54 because is 2*6 : 9* 6
If x = 0, then tan-Ir is
Answer:
If x<0 then tan-1(1x) equals. check-circle. Answer. Step by step solution by experts to help you in doubt clearance & scoring excellent
helppp me on this
Twentycharacters
Answer:
yes
Step-by-step explanation:
2 to the 3rd power - 4 x 2 + 3
Evaluate 641/2 x
10-2
Give your answer as a fraction in its simplest form
Answer: 641/2x 10-2 it is 3203
Step-by-step explanation:
What is the value of x of the acute angles of a right triangle measure 8x and 12x?
A.2
B. 4.5
C. 7
D. 9.5
Answer:
B. 4.5
Step-by-step explanation:
The sum of all interior angles of a triangle is 180 degrees
Since we know it is a right triangle, there is one angle that is 90 degrees
The acute angles are given as 8x and 12x
Add them up and isolate x to find the value of it
8x + 12x + 90 = 180 1. Add like terms
20x + 90 = 180 2. Subtract by 90 on both sides
20x = 90 3. Divide by 20 on both sides
x = 4.5
I NEED HELP :( How would you write the Pythagorean theorem for a right triangle with sides of 9 inches, 41 inches,
and 40 inches?
A. 92 + 412 = 402
entary
ndary
B. 92 + 402 = 412
C. 402 + 412 = 92
otebo
Submit
ning
ition
2:40 / 4:14
Pythagorean Theorem
550
Answer: B
Step-by-step explanation: The two sides that get added together arent gonna be bigger than the third side
Answer:
b is correct
9^2 + 40^2 = 41^2
select the table that represents a linear function (graph and if necessary)
Answer:
A
Step-by-step explanation
Just did this.
Ms. O'Rourke has graded 20% of her 150 students'
papers. How many papers does she still need to finish
grading?
Answer:
150−30=120 papers are still left to do
Step-by-step explanation:
150−30=120 papers are still left to do
Please help!!!!!!!:>
Answer:
answer is (x+16)(x-3) I'm sure
______________________________
1.) Factor the expression by grouping:
- First, the expression needs to be rewritten as [tex]x^2+ax+bx-48[/tex]. To find a and b, set up a system to be solved:
[tex]a+b=13[/tex][tex]ab=1(-48)=-48[/tex]2.) List all such integer pairs that give product −48:[tex]-1,48[/tex][tex]-2,24[/tex][tex]-3,16[/tex][tex]-4,12[/tex][tex]-6,8[/tex]3.) Calculate the sum for each pair:[tex]-1+48=47[/tex][tex]-2+24=22[/tex][tex]-3+16=13[/tex][tex]-4+12=8[/tex][tex]-6+8=2[/tex]4.) The solution is the pair that gives sum 13:[tex]a=-3[/tex][tex]b=16[/tex]5.) Rewrite [tex]\bold{x^2+13x-48}[/tex]:[tex]x^2+13x-48=(x^2-3x)+(16x-48)[/tex]6.) Factor out [tex]\bold{(x)}[/tex] in the first and 16 in the second group:[tex]x(x-3)+16(x-3)[/tex]7.) Factor out common term [tex]\bold{x-3}[/tex] by using distributive property:[tex](x-3)(x+16)[/tex]
So your answer is [tex]\bold{(x-3)(x+16)}[/tex] or [tex]\bold{(x+16)(x-3)}[/tex].
______________________________
Suppose you worked 4.5 hours today and 2.25 hours yesterday. If you made $87, what were you
paid for each hour of work?
Answer:
Patriot Software
What Is Time and a Half, and Who Qualifies for It?
Mike Kappel Mike Kappelular rate of pay plus
dministrative, or professional job duty.
There is also a test for employees who work in outside sales. If an employee’s primary duty is making sales, they are exempt. The employee must also regularly perform work away from your business. They do not have to meet salary exemption requirements to be exempt.
Nonexempt employees
On the flip side, nonexempt employees:
Do not make at least $35,568 annually
Are not salaried and/or
Do not have exempt job duties (e.g., administrative)
If you have nonexempt employees, you must pay them time and a half (1.5 times) for any hours worked over 40 a week.
There’s a common misconception that paying an employee a salary means they’re exempt from overtime wages. You can have salaried nonexempt employees who are eligible for overtime pay.
Your state may have stricter overtime laws than the FLSA. Check with your state to learn about the overtime laws you need to follow.
How to calculate time and a half
Again, pay nonexempt employees time and a half for any overtime hours they work.
A good chunk of nonexempt employees receive hourly wages instead of a salary. However, because nonexempt employees can be salaried, you must know how to calculate time and a half for both salaried and hourly employees.
Hourly employees
Let’s say you have a nonexempt hourly employee who earns $12 per hour. During the last workweek, the employee worked 45 hours (40 regular hours + 5 overtime hours).
To calculate time and a half for the hourly employee, follow these steps:
Calculate the employee’s regular earnings
Find the time and a half pay rate (1.5 x Regular Hourly Wage)
Multiply the overtime rate by the number of overtime hours
Add together the regular and overtime wages
To find the employee’s regular earnings, multiply their regular pay rate ($12) by 40 hours.
$12 X 40 = $480 in regular wages
Next, calculate the employee’s time and a half pay rate. Multiply 1.5 by the employee’s regular rate of pay.
1.5 X $12 = $18 per hour of overtime
Multiply the overtime rate from above ($18) by the number of overtime hours the employee worked during the week.
$18 X 5 = $90 of overtime pay
Last but not least, add the employee’s regular wages and overtime pay together to find the employee’s total wages. You owe the employee $570 in total gross wages ($480 + $90).
If your employee has multiple pay rates for different jobs within your company, you must calculate weighted overtime for their wages.
Salaried employees
When it comes to calculating time and a half for salaried employees, there are two methods you can use. The method you use depends on if the employee receives a salary that covers a fixed number of hours or if they receive a salary that covers all worked hours (aka fluctuating workweek).
Salary with fixed hours
For a salaried employee with fixed hours, use these steps:
Calculate the employee’s regular hourly rate
Calculate the employee’s regular earnings
Find the time and a half pay rate (1.5 x Regular Hourly Wage)
Multiply the overtime rate by the number of overtime hours
Add together the regular and overtime wages
Say your salaried employee earns $1,000 per week. You expect the employee to work 34 hours this week, but they wind up working 45.
This is not intended as legal advice; for more information, please click here.
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