By using a trigonometric table, we will see that:
cotangent(3pi/4) = -1
How to find the value of the cotangent?We want to find:
cotangent(3pi/4)
This is equal to:
[tex]\frac{cos(3pi/4)}{sin(3pi/4)}[/tex]
We can use a table to evaluate these two, we know that:
cos(3pi/4) = -√2/2
sin(3pi/4) = √2/2
Then:
[tex]\frac{cos(3pi/4)}{sin(3pi/4)} = \frac{-\sqrt{2}*2 }{\sqrt{2}*2 } = -1[/tex]
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Explain the process to solve the equation. Use proper
vocabulary in your explanation.
1/4x=-5/8
a
Answer: x = 5/2 or 2.5
Step-by-step explanation:
1/4x = 5/8
To find the value of X;
We multiply both sides by 4
1/4 x × 4 = 5/8 × 4
x = 5/2 or 2.5
Hey there!
1/4x = -5/8
MULTIPLY 4/1 to BOTH SIDES
4/1 * 1/4x = -5/8 * 4/1
CANCEL out: 4/1 * 1/4 because it give you 1
KEEP: -5/8 * 4/1 because it give you the x-value
NEW EQUATION: x = -5/8 * 4/1
SIMPLIFY IT!
x = -5/2
Therefore, your answer is: x = -5/2
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
what is $262.50 of $3000
Answer: 262.50 is 8.75% of 3000
Step-by-step explanation:
Solution for 262.50 is what percent of 3000:
262.50:3000*100 =
(262.50*100):3000 =
26250:3000 = 8.75
Now we have: 262.50 is what percent of 3000 = 8.75
Question: 262.50 is what percent of 3000?
Percentage solution with steps:
Step 1: We make the assumption that 3000 is 100% since it is our output value.
Step 2: We next represent the value we seek with x
Step 3: From step 1, it follows that 100% = 3000.
Step 4: In the same vein, x% = 262.50 .
Step 5: This gives us a pair of simple equations:
100% = 3000(1).
x% = 262.50(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
100%/x% = 262.50%/3000
x = 8.75% Therefore, 262.50 is 8.75% of 3000
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In Pittsburgh, PA about 56% of the days in a year are cloudy. Find the mean number of
cloudy days during the month of June. Recall that the month of June has 30 days.
Enter the exact value. Do not include units.
The mean number of cloudy days that can be found in Pittsburgh during the month of June is 7 days.
How to calculate the mean?Since about 56% of the days in a year are cloudy, the number of cloudy days will be:
= 56% × 365
= 204 days
Therefore, the mean number of cloudy days during the month of June will be:
= 204/30
= 6.8 = 7 days
The mean number of cloudy days during the month of June will be 7 days.
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Terri owns a computer repair shop. Her revenue at the end of last month was $8,000. What is Terri's Run Rate?
Click this link to open the Business Financials Part 2 Study Guide to view the formula used for this problem!
Type a comma to separate the digits and type the $ symbol when you enter your answer as shown below:
Example: $15,300
Based on the information given Terri's Run Rate is $96,000.
Run rateUsing this formula
Run rate=Revenue for the Period × Number of months in a year
Where:
Revenue for the Period =$8,000
Number of months in a year=12 months
Let plug in the formula
Run rate=$8,000×12 months
Run rate=$96,000
Inconclusion Terri's Run Rate is $96,000.
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Answer:
$96,000
Step-by-step explanation:
took the test
Daniel wants to do 208 practice problems to prepare for an exam. If he wants to do 8 problems a day, how many days
would it take him to complete 208 problems?
A.26 days
B.13 days
C.12days
D.8days
Answer:
8 problems per day for 12 of the days and 9 problems per day for 24 of the days
Step-by-step explanation:
It would take him 26 of the days to complete 208 problems.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that Daniel wants to do 208 practice problems to prepare for an exam. If he wants to do 8 problems a day, then;
Using unitary method;
8 problems per day for 12 of the days
Therefore, 9 problems per day for 24 of the days.
Hence, the 208 practice problems = 26 days.
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Mr. Browne works for $6.00 per hour. His wife works for $8.00 per hour. One week they each earned the same pay. If they get paid for full hours only, what is the least amount of hours worked by each? Give two other possible ways that they could both earn the same pay.
Answer:
In explanation
Step-by-step explanation:
If Mr.brown worked 20 hours and his wife wold of worked 15 hours they would both earn 120$.
Another one is if Mr.brown works 40 hours and his wife works 30 hours they each could make 240$
Hope this helps have a great day:)
Answer:
Step-by-step explanation: Browne works 4 hours and gets 24$. Wife works 3 hours and gets 24$. That's the least amount of hours for them to earn the same pay. Some other ways: Browne - 8 h and 48$, Wife - 6 h and 48$. Their hours just should be 4:3
An expression is shown 456/10. between which two consecutive whole numbers does this value lie ? enter your numbers in the box
Answer:
46,44
Step-by-step explanation:
divide, then round up and down
If you run 3 meters per second to the left, where will you be 4 seconds after you pass zero?
Answer:
12 meters to the left, or -12
Step-by-step explanation:
3 meters per second for 4 seconds
Meaning it's 3 x 4
3 x 4 = 12, so therefore it's -12 meters or just 12 meters to the left.
Answer:
12 meters to the left of your starting point.
Step-by-step explanation:
You start at 0 meters. You then start running to the left with an acceleration of 3 m/s to the left. After each seconds, you are 3 more meters to the left.
So
3 m/s * 4 s = 12 m to the left.
Hence, the answer in 12 meters to the left.
Subtract
(3^3 − 2^2 + 7) − (5^3 − 2 − 3^2 − 8)
Answer:
-103
Step-by-step explanation:
Exponentiation: 2 ^ 2 = 4
Add: the result of step No. 3 + 7 = -4 + 7 = 3
Exponentiation: 5 ^ 3 = 125
Subtract: the result of step No. 5 - 2 = 125 - 2 = 123
Exponentiation: 3 ^ 2 = 9
Subtract: the result of step No. 6 - the result of step No. 7 = 123 - 9 = 114
Subtract: the result of step No. 8 - 8 = 114 - 8 = 106
Subtract: the result of step No. 4 - the result of step No. 9 = 3 - 106 = -103
Answer:
-76Step-by-step explanation:
To solve this equations, we must use the order of operations, or PEMDAS, Parenthesis, exponents, multiplication, division, addition, and subtraction.
The value of the first side is 30, the value of the second side is -106
We add and subtract and our answer will be -76
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What is the process to convert meters to centimeters?.
The equation of a parabola is
y = x² - 6x + 15. Write the equation in vertex form.
Write any numbers as integers or simplified proper or improper fractions.
Answer:
[tex]\displaystyle y = [x - 3]^2 + 6[/tex]
Step-by-step explanation:
Use the method called complete the square, but in this case, we need to take half of the B-term and square the result afterward. Here is how it is done:
[tex]\displaystyle [\frac{b}{2}]^2 \hookrightarrow [\frac{-6}{2}]^2; 9 \\ \\ \boxed{[x - 3]^2} \hookrightarrow x^2 - 6x + 9[/tex]
Now, after you get an equation from using this method, you must follow ONE MORE PROCEDURE, which is figuring the quantity out that when added to 9, you get 15, and that will be 6. So, with that, you have your vertex equation:
[tex]\displaystyle y = A[x - h]^2 + k \\ \\ \boxed{\boxed{y = [x - 3]^2 + 6}}[/tex]
**In the event you have a quadratic equation, if you are asked to locate the vertex, IF factourable, convert the quadratic equation to a vertex equation, where [tex]\displaystyle [h, k][/tex]represents the vertex:
[tex]\displaystyle y = Ax^2 + Bx + C \hookrightarrow y = A[x - h]^2 + k[/tex]
I am delighted to assist you at any time.
If 0.05 of Eli's cards are baseball cards what fraction of his cards is not baseball cards?
Please write your answer as both a fraction and a decimal.
Answer: 0.95 or 95/100 or 19/20
Step-by-step explanation: Hi there.
To find the fraction, we can subtract 0.05 (number of baseball cards) from 1.00 (all of his cards).
1.00-0.05=0.95
0.95 in fraction form is 95/100, or 19/20 simplified.
Have a nice day! :)
Which pair is equivalent?
How to verify equivalent fractions? If two fractions are equivalent, then the product of one's numerator and the other's denominator is equal to the product of one's denominator and the other numerator. 1 x 12 = 3 x 4. So, 1/3 and 4/12 are equivalent fractions.
a cone-shaped pile of sawdust has a base diameter of 26 feet, and is 8 feet tall. find the volume of the pile
Answer: before I answer this do you need it in cubic feet or inches?
Step-by-step explanation:
Answer:
1,415.09 ft3
Step-by-step explanation:
First you would start off by finding the area of the circle. 13 squared is 169. Then you would multiply it by 3.14. You now have 530.66. Then you multiply it by 8 giving you 4,245.28. Then multiply that number by 1/3 which gives you 1,415.09 ft3.
Hope this helps!
8(9f+5) YOO HELP ME PLSLSLLS
Which of the following are solutions to the equation below?
Check all that apply.
X^2-3x+ 27 = 6x + 7
[tex]\\ \rm\bull\rightarrowtail x^2-3x+27=6x+7[/tex]
[tex]\\ \rm\bull\rightarrowtail x^2-3x-6x+27-7=0[/tex]
[tex]\\ \rm\bull\rightarrowtail x^2-9x+20=0[/tex]
[tex]\\ \rm\bull\rightarrowtail x^2-5x-4x+20=0[/tex]
[tex]\\ \rm\bull\rightarrowtail x(x-5)-4(x-5)=0[/tex]
[tex]\\ \rm\bull\rightarrowtail (x-4)(x-5)=0[/tex]
[tex]\\ \rm\bull\rightarrowtail x=4,5[/tex]
»x² - 3x + 27 = 6x + 7
ax² + bx + c = 0»x² - 3x + 27 - 6x - 7 = 0
»x² - 9x + 20 = 0
»(x - 4)(x - 5) = 0
»(x - 4) = 0 V (x - 5) = 0
For [tex]\tiny x_1[/tex]»x - 4 = 0
»x = 0 + 4
»x = 4
For [tex]\tiny x_2[/tex]»x - 5 = 0
»x = 0 + 5
»x = 5
x = {x| 4 or 5, x€R}The table shows the breakdown of the points scored in last week's basketball game.
a. Write a linear expression in simplest form to represent the total field goal points scored in the first two quarters.
b. Write a linear expression in simplest form to represent the total points scored in the game
Answer:
a. Total field goal points scored in the first two quarters, in simplest linear expression form is: 3x - 4.
b. The total points scored in the game, in simplest linear expression form is: 6x - 1.
a. The goal points scored in the first two quarters are expressed in linear forms as: 2x - 6 and x + 2.
The total field goal points in the first two quarters = 2x - 6 + x + 2
Add like terms
3x - 4
b. The total points scored in the game = 2x - 6 + x + 2 + 2x + x - 6 + 9
Add like terms and simplify the expression
2x - 6 + x + 2 + 2x + x - 6 + 9
6x - 1
Step-by-step explanation:
Write a personal narrative about what you did and how hard you worked to see success
what is 6.729 x 8.3 (show ur work)
Answer:92,817,765
Step-by-step explanation:Arrange the numbers one on top of the other and line up the place values in columns. The number with the most digits is usually placed on top as the multiplicand.
Starting with the ones digit of the bottom number, the multiplier, multiply it by the last digit in the top number
Write the answer below the equals line
If that answer is greater than nine, write the ones place as the answer and carry the tens digit
Proceed right to left. Multiply the ones digit of the bottom number to the next digit to the left in the top number. If you carried a digit, add it to the result and write the answer below the equals line. If you need to carry again, do so.
When you've multiplied the ones digit by every digit in the top number, move to the tens digit in the bottom number.
Multiply as above, but this time write your answers in a new row, shifted one digit place to the left.
When you finish multiplying, draw another answer line below your last row of answer numbers.
Use long addition to add your number columns from right to left, carrying as you normally do for long addition.
Long Multiplication with Decimals
Long multiplication with decimals using the standard algorithm has a few simple additional rules to follow.
Count the total number of decimal places contained in both the multiplicand and the multiplier.
Ignore the decimals and right align the numbers one on top of the other as if they were integers
Multiply the numbers using long multiplication.
Insert a decimal point in the product so it has the same number of decimal places equal to the total from step 1.
Answer:
Step-by-step explanation:
Line up the numbers:
[tex]\begin{matrix}\:\:&6&7&2&9\\ \times \:&\:\:&\:\:&8&3\end{matrix}[/tex]
-------------------------------
[tex]\frac{\begin{matrix}\:\:&\:\:&\:\:&2&\:\:\\ \:\:&6&7&2&\textbf{9}\\ \times \:&\:\:&\:\:&8&\textbf{3}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&\:\:&7\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\:\:&\:\:&\:\:&\textbf{2}&\:\:\\ \:\:&6&7&\textbf{2}&9\\ \times \:&\:\:&\:\:&8&\textbf{3}\end{matrix}}{\begin{matrix}\:\:&\:\:&\:\:&8&7\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\:\:&2&\:\:&2&\:\:\\ \:\:&6&\textbf{7}&2&9\\ \times \:&\:\:&\:\:&8&\textbf{3}\end{matrix}}{\begin{matrix}\:\:&\:\:&1&8&7\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\:\:&2&\textbf{2}&\:\:&2&\:\:\\ \:\:&\:\:&\textbf{6}&7&2&9\\ \times \:&\:\:&\:\:&\:\:&8&\textbf{3}\end{matrix}}{\begin{matrix}\:\:&\:\:&0&1&8&7\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\:\:&\:\:&\:\:&\:\:&7&\:\:\\ \:\:&\:\:&6&7&2&\textbf{9}\\ \:\:&\times \:&\:\:&\:\:&\textbf{8}&3\end{matrix}}{\begin{matrix}\:\:&2&0&1&8&7\\ \:\:&\:\:&\:\:&\:\:&2&\:\:\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\:\:&\:\:&\:\:&2&\textbf{7}&\:\:\\ \:\:&\:\:&6&7&\textbf{2}&9\\ \:\:&\times \:&\:\:&\:\:&\textbf{8}&3\end{matrix}}{\begin{matrix}\:\:&2&0&1&8&7\\ \:\:&\:\:&\:\:&3&2&\:\:\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\:\:&\:\:&5&\textbf{2}&7&\:\:\\ \:\:&\:\:&6&\textbf{7}&2&9\\ \:\:&\times \:&\:\:&\:\:&\textbf{8}&3\end{matrix}}{\begin{matrix}\:\:&2&0&1&8&7\\ \:\:&\:\:&8&3&2&\:\:\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\:\:&5&\textbf{5}&2&7&\:\:\\ \:\:&\:\:&\textbf{6}&7&2&9\\ \times \:&\:\:&\:\:&\:\:&\textbf{8}&3\end{matrix}}{\begin{matrix}\:\:&2&0&1&8&7\\ \:\:&3&8&3&2&\:\:\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\:\:&5&5&2&7&\:\:\\ \:\:&\:\:&6&7&2&9\\ \times \:&\:\:&\:\:&\:\:&8&3\end{matrix}}{\begin{matrix}\:\:&2&0&1&8&7\\ 5&3&8&3&2&\:\:\end{matrix}}[/tex]
[tex]\frac{\begin{matrix}\:\:&\:\:&6&7&2&9\\ \:\:&\times \:&\:\:&\:\:&8&3\end{matrix}}{\begin{matrix}0&2&0&1&8&7\\ 5&3&8&3&2&0\end{matrix}}[/tex]
[tex]=558507[/tex]
Add Decimal Back:
[tex]=55.8507[/tex]
Which pair of numbers are both between 12 and 13?
Answer:
C. √150 and √160
Step-by-step explanation:
12 squared is 144 and 13 squared is 169, so the numbers under the radicals must be between these numbers. The question must mean that the range is exclusive so only C can be correct.
how many squares would have to be shaded in so that then 2 over 9 of the shape is shaded :)
please help!
Answer:
it would be a 9 piece shape so to make it 2/9 just shade 2
Step-by-step explanation:
Gianna invested \$750$750 in an account in the year 2010, and the value has been growing exponentially at a constant rate. The value of the account reached \$1,060$1,060 in the year 2015. Determine the value of the account, to the nearest dollar, in the year 2019
The value of the account in 2019 is $1398.
What is the rate of growth of the account?The formula that can be used to determine the growth rate is:
g = (FV / PV)^1/n - 1
Where:
g = growth rate FV = future value PV = present value n = number of years(1060 / 750)^1/5 - 1 = 7.164%
What is the value of the account in 2019?The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value P = Present value R = interest rate N = number of years$750 x ( 1.07164)^9 = 1398
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Solve each system using the elimination method
4x-y=-2
2x+y=2
Answer:
[tex]\left \{ {{x=0} \atop {y=2}} \right.[/tex]
Step-by-step explanation: [tex]\left \{ {{4x-y=-2} \atop {2x+y=2}} \right.[/tex]
Add the two equations
[tex]4x-y+(2x+y)=-2+2[/tex]
Remove parentheses
[tex]4x-y+2x+y=-2+2[/tex]
Cancel one variable
[tex]4x+2x=-2+2[/tex]
Apply the Inverse Property of Addition
[tex]4x+2x=0[/tex]
Combine like terms
[tex]6x=0[/tex]
Divide both sides by the equation by the coefficient of variable
[tex]x=0[/tex]
Substitute into one of the equations
[tex]2\times0+y=2[/tex]
Apply Zero Property of Multiplication
[tex]y=2[/tex]
The solution of the system is
[tex]\left \{ {{x=0} \atop {y=2}} \right.[/tex]
I hope this helps you
:)
please answer quick
no explanation needed
Answer:
b, c and d are all correct
Step-by-step explanation:
if you substitute, numbers for x, it simply has to be greater than 15
Alice is building a rectangular fenced-in pen in her backyard for her dog. Alice designs a pen where the length is ten more feet than four times the width. Alice has purchased 50 feet of wire fencing for the pen and uses all of it. Write and solve an equation to determine the dimensions
Answer:
the width is 3.16 and the length is 22.64
Step-by-step explanation:
Use the figure for 10 - 12. X is the midpoint of PQ.
10: Find PX
11. Find XQ
12. Find PQ
Answer:
see explanation
Step-by-step explanation:
since X is the midpoint of PQ , then
PX = QX ( substitute values )
4x + 15 = 7x + 6 ( subtract 4x from both sides )
15 = 3x + 6 ( subtract 6 from both sides )
9 = 3x ( divide both sides by 3 )
3 = x
Then
PX = 4x + 15 = 4(3) + 15 = 12 + 15 = 27
XQ = 7x + 6 = 7(3) + 6 = 21 + 6 = 27
PQ = PX + XQ = 27 + 27 = 54
Answer:
PX = 4x + 15 = 4(3) + 15 = 12 + 15 = 27
XQ = 7x + 6 = 7(3) + 6 = 21 + 6 = 27
PQ = PX + XQ = 27 + 27 = 54
Step-by-step explanation:
Since X is the midpoint of PQ , then
PX = QX ( substitute values )
4x + 15 = 7x + 6 ( subtract 4x from both sides )
15 = 3x + 6 ( subtract 6 from both sides )
9 = 3x ( divide both sides by 3 )
3 = x
Then
PX = 4x + 15 = 4(3) + 15 = 12 + 15 = 27
XQ = 7x + 6 = 7(3) + 6 = 21 + 6 = 27
PQ = PX + XQ = 27 + 27 = 54
Hence, the correct answers are: PX = 4x + 15 = 4(3) + 15 = 12 + 15 = 27
XQ = 7x + 6 = 7(3) + 6 = 21 + 6 = 27 PQ = PX + XQ = 27 + 27 = 54
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS
Answer:
2 vertically and -11 horizontally
Explanation:
the graph shifts 2 vertically and -11 horizontally
note: vertically is up ↑ and bottom ↓ , horizontal is right → and left ←
2 vertical and -11 horizontal.
Take one point of 1 (I chose the bottom left corner) and move up (vertical) two times, and left eleven times (horizontal).
The equation would be (x-11, y+2)
PLEASE PLEASE help!! i’ll mark
Answer:
144620453 cubic yards
Step-by-step explanation:
the side lengths of the cube are 524.9
the equation for the volume of a cube is the side length to the third power
so V=s^3
then plug in the number
V=524.9^3 plug into a calculator to get 144620453.2 then round to the nearest cubic yard so the answer is 144620453 cubic yards
Hope this helps! :)
if each quadrilateral below is a trapezoid blind the missing measure’s
Answer:
measure of angle is E is 45 degrees besausw if you look closely then it is a
45,45,90, Triangle and so E is 45 degrees
measure of c = 360-45+79+134 = 102 ° degrees
What is the radius of a circle whose equation is x2 y2 8x−6y 21=0?.
The radius of the circle of the provided equation, after comparing it with the standard equation of the circle, is 2.
What is the equation of circle?The equation of the circle is the equation which is used to represent the circle in the algebraic equation form with the value of center point in the coordinate plane and measure of radius.
The standard form of the equation of the circle can be given as,
[tex](x-h)^2+(y-k)^2=r^2[/tex]
Here (h,k) is the center of the circle and (r) is the radius of the circle.
The given equation of the circle is,
[tex]x^2+ y^2 +8x-6y +21=0[/tex]
Add number 16 and 9 both sides of the equation to complete the square.
[tex]x^2+ y^2 +8x-6y +21+16+9=16+9\\x^2+8x+16+ y^2 -6y +9=16+9-21\\(x+4)^2+(y-3)^2=4\\(x+4)^2+(y-3)^2=2^2[/tex]
Compare it with the standard equation of the circle, we get,
[tex]h=-4\\k=3\\r=2[/tex]
Hence, the radius of the circle of the provided equation, after comparing it with the standard equation of the circle, is 2.
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