Answer:
98°
Step-by-step explanation:
3x+89+8x+58=180
11x+147=180
11x=180-147
11x=33
x=3
< MON = 3x+89 = 3(3)+89 = 9+89= 98°
Anybody who knows Pre Calc?? My last offer here
Solution PLS!
Answers:
true speed = 26.935546 knotstrue bearing = 102.265139 degreesThe values are approximate. Round them however you need to.
====================================================
Explanation:
The diagram you have drawn is correct if you're only considering one current. Specifically current #1 which has the bearing of 290 degrees moving at 25 knots.
The red angle is 290 degrees. The remaining portion that is needed to get a full 360 degrees is 360-290 = 70. This adds to the blue portion in quadrant 1, which is 90, and we get 70+90 = 160. So the blue angle is 160 degrees.
The vector for current #1 is <25*cos(160), 25*sin(160)>
This approximates to <-23.4923155, 8.5505036>
All of this is for current #1.
------------
Vector #2 is much more simple in terms that there aren't messy decimal approximations here. The direction is due north, which means that the vector is pointing straight up toward 90 degrees.
We can then say: <12*cos(90), 12*sin(90)> = <12*0, 12*1> = <0, 12>
Vector #2 is <0,12>
When you wrote <12,0>, you were on the right track, but you had the coordinates swapped in the wrong order.
----------
Then we have to account for a wind going 4 knots in the southwest direction. This is at the angle 225 degrees (we rotate 180 degrees plus another 45 to get 225). So,
vector #3 = <4*cos(225), 4*sin(225)> = <-2.8284271, -2.8284271>
This vector's coordinates are approximate
---------
To recap everything so far, vectors 1 through 3 are the following
p = <-23.4923155, 8.5505036>q = <0, 12>r = <-2.8284271, -2.8284271>I'm using variables to represent the vectors at this point, so we can then add them up to get...
s = p+q+r
s = <-23.4923155, 8.5505036> + <0,12> + <-2.8284271, -2.8284271>
s = <-23.4923155+0+(-2.8284271), 8.5505036+0+(-2.8284271)>
s = <-26.3207426, 5.7220765>
Vector s represents the sum of the three vectors p, q, and r. The two currents and the wind ultimately combine together to push the boat in the direction and along the length of vector s.
----------------------
Now that we know the coordinates of vector s, we use them to find the true speed and true bearing of the boat.
speed = sqrt(a^2 + b^2)
speed = sqrt( (-26.3207426)^2 + (5.7220765)^2 )
speed = 26.935546 knots, which is approximate
angle = arctan(b/a)
angle = arctan(5.7220765/(-26.3207426))
angle = -12.265139
Add 360 to this angle to find that we get to the coterminal angle of -12.265139+360 = 347.734861 degrees
This angle is in quadrant 4, which is the southeast quadrant. If we rotate another 360-347.734861 = 12.265139 degrees, going counterclockwise, then we'll face directly east. Then another 90 degree counterclockwise rotation has us face directly north.
In total, the true bearing is approximately 90+12.265139 = 102.265139 degrees
So we'll start aiming north, and then rotate roughly 102.265139 degrees toward the east to get to the true bearing.
answer both for brainliest and 20 pts
Answer:
ed = 3
lm = 30.6
Step-by-step explanation:
ab=20 bc=6 cd=8
a. 18.5
b. 11.5
c. 19.5
d. 15
Answer:
A. 18.5
Step-by-step explanation:
Evaluate p+(n-1) x3 for n=7 and p=9
A normal distribution has a mean 7 of and a standard deviation of 2. Use the 68-95-99.7 rule to find the percentage of values in the distribution between and .
What is the percentage of values in the distribution between 7 and 9?
=================================================
Explanation:
We have 7 at the center. Going 2 units to the left of center gets us to 7-2 = 5. Going 2 units to the right of center gets us to 7+2 = 9.
Since the mean is 7 and the standard deviation is 2, this tells us that the values 5 and 9 are exactly one standard deviation away from the mean.
Due to the empirical rule (aka 68-95-99.7 rule), we just found that roughly 68% of the population is between 5 and 9.
Half of this is 68/2 = 34%, so this is the percent of values between 7 and 9.
I need help please!!!
6. Larry earns $840 per pay period, plus a commission of 8% on his sales. During the last pay period, Larry earned
a total of $2,440.00. What were Larry's total sales during the pay period?
A. $784
B. $22,500
C. $30,500
D. $38,500
7. Tom's bill at a local restaurant was $19.47. If he wants to leave a 15% tip, approximately how much should he
leave?
A. $0.15
B. $3
C. $4
D. $15
6. Larry's total sales during the pay period is $20,000.
7. Tom should leave $3 (approximate)
What is the meaning of total sales?
Total sales revenue usually referred to as gross sales is the sum of the value of the products and services a company provides to its clients over the course of a given reporting period.
Given that Larry earns $840 per pay period, plus a commission of 8% on his sales.
Assume that Larry sale $x during the last pay period.
The total earn is 840 + 8% of x
= 840 + 0.08x
According to the question:
840 + 0.08x = 2,440.00
Subtract 840 from both sides:
0.08x = 2,440 - 840
0.08x = 1600
Divide both sides by 0.08
x = 1600/0.08
x = 20,000
The sales is $20,000.
7. Given that, Tom's bill at a local restaurant was $19.47. He leaves 15% of the total bill as a tip.
15% of $19.47
= 15/100 × $19.47
= 2.920
≈ 3 (approximate)
Tom should leave $3.
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These equations take their y-values from the set (4, 5, 6, 7, 8). Arrange the equations in decreasing order of the values of y that make them true.
4y + (y - 1) = 29
4y = y + 1 = 13
(2y + 3) - 4 = 9
9514 1404 393
Answer:
a, c, b
Step-by-step explanation:
Collect terms, subtract the constant, divide by the y-coefficient.
(a) 4y + (y - 1) = 29 ⇒ y = 6
(c) (2y + 3) - 4 = 9 ⇒ y = 5
(b) 4y - y + 1 = 13 ⇒ y = 4 . . . . . this equation is not what you have written
__
Additional comment
The second equation suffers from a typo, so your answer may vary.
Answer:
in order acb
Step-by-step explanation:
please help ASAP I need to do this
Help me plz I will give brainiest
Answer:
Side A = 11
Side B = 16
Side C = 25
I added an image that shows what I did in case you need it.
20% of the students in a class are left handed. There are 50 students. How many
of the students are left handed? (Show working)
Answer:
10
Step-by-step explanation:
50 students.
20% = 20/100 = 1/5
50*1/5 = 10
There are 10 left-handers.
Maria flips a coin 20 times. The coin only lands on tails 9 times. According to theoretical
probability how many more times would Maria have expected the coin to land on tails?
Answer:
1
Step-by-step explanation:
A coin only has two outcomes. Meaning that she has a 50/50 chance of landing on each side. So, 50% of 20 is 10. According to the theoretical probabilty, the coin would have landed on heads 10 times and tails 10 times. So, for that to be true Maria would have had to land on tails one more time.
Samantha was driving down a road and after 4 hours she had traveled 70 miles. At this speed, how many hours would it take Samantha to drive 105 miles?
Answer:
It would take Samantha 6 hours to drive 105 miles.
Step-by-step explanation:
This question can be solved by proportions.
After 4 hours she had traveled 70 miles.
This means that she travels 70/4 = 17.5 miles per hour.
How many hours would it take Samantha to drive 105 miles?
17.5 miles per hour, so for 105 miles:
105/17.5 = 6
It would take Samantha 6 hours to drive 105 miles.
hi!! ;; please help :) 20 points! no links or websites. please .
Answer: 22
Step-by-step explanation:
(1 × 3) + [2 × 3 [tex]\frac{1}{2}[/tex]] + [1 × 3 [tex]\frac{3}{4}[/tex] [1 × 4 [tex]\frac{1}{4}[/tex]] + [3 × [tex]\frac{3}{4}[/tex]] + [3 × 5 [tex]\frac{1}{4}[/tex]]
= 3 + [2 × [tex]\frac{3}{2}[/tex]] + [1 × [tex]\frac{9}{4}[/tex]] + [1 × [tex]\frac{4}{4}[/tex]] + [3 × [tex]\frac{12}{4}[/tex]] + [3 × [tex]\frac{5}{4}[/tex]]
= 3 + [tex]\frac{6}{2}[/tex] + [tex]\frac{9}{4}[/tex] + [tex]\frac{4}{4}[/tex] (equal to 1) + [tex]\frac{36}{4}[/tex] + [tex]\frac{15}{4}[/tex]
= 3 + 3 + [tex]\frac{9}{4}[/tex] + 1 + 9 + [tex]\frac{15}{4}[/tex]
= 16 + [tex]\frac{9+15}{4}[/tex]
= 16 + [tex]\frac{24}{4}[/tex]
= 16 + 6
= 22
What is the inverse of the function [tex]y=x^{2} +4x+4[/tex]
Answer:
y = 2 ± √x is the inverse but it's not a function. (See note below for additional info)
Step-by-step explanation:
Given the quadratic function:
[tex] \displaystyle{y = {x}^{2} + 4x + 4}[/tex]
We can rewrite the function above using perfect square form:
[tex] \displaystyle{y = {(x + 2)}^{2} }[/tex]
Finding an inverse, we swap the terms of x and y:
[tex] \displaystyle{x = {(y + 2)}^{2} }[/tex]
Square root both sides, solving for y:
[tex] \displaystyle{ \sqrt{x }= \sqrt{ {(y + 2)}^{2}} } \\ \\ \displaystyle{ \sqrt{x }= \left| y+ 2\right| } \\ \\ \displaystyle{ \pm \sqrt{x }= y + 2}[/tex]
Subtract both sides by 2:
[tex] \displaystyle{ \pm \sqrt{x } - 2= y+ 2 - 2} \\ \\ \displaystyle{ \pm \sqrt{x } - 2= y} \\ \\ \displaystyle{y = 2 \pm \sqrt{x} }[/tex]
Therefore the inverse of y = x² + 4x + 4 is y = 2 ± √x.
Note: While it's possible to find the inverse of quadratic function, but the inverse version itself is not really a function. So if you want to go by definition or theorem, you can say there's no inverse function. Otherwise, the answer above is the solution.
Find the missing length ps. I am going to be sending a lot Bc I need help like fast
Answer:
x = 25
Step-by-step explanation:
This is a similar triangle problem
Therefor two sides of triangle A are in the same proportion as two sides of triangle B
----------------------------
Triangle A
Short leg = x
Long leg = 60
proportion = x/60
Triangle B
Short Leg = 60
Long leg = 144
proportion = 60/144
Therefor
x/60 = 60/144
multiply both sidees by 60
x = 60*60/144
x = 25
How do I solve this system of equations using the elimination method
y=3x+13
2x=y-9
The value of x is -4 and the value of y is 1.
What is the value of x and y?In order to use the elimination method, rearrange the given linear equations.
y - 3x = 13 equation 1
y - 2x = 9 equation 2
Subtract equation 2 from equation 1:
-x = 4
x = -4
Substitute for x in equation 2
y - 2(-4) = 9
y + 8 = 9
y = 9 - 8
y = 1
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If there is a crossword that has four squares that need to be filled, how many possible four-letter arrangements are there (assuming they do not have to make a real word)?
Solve for f
2 + 1.25f = 10 - 2.75f
Answer:
2
Step-by-step explanation:
Help me! I need to get this right! If you do get it right, I will give you Brainlist!
Answer:
d. 1/4
Step-by-step explanation:
comment if u need explanation
Answer:
it's D. 1/4
Step-by-step explanation: hope that helps
How do you simplify 3/4-2/3?
Answer:
1/12
Step-by-step explanation:
3/4 - 2/3 = 9/12 - 8/12 = 1/12
Answer:
The answer is 1/12 good luck with the rest
Which of the following points is shown in the graph below? Question 5 options:
The point shown on the graph is
(4, -5, 6)
How to find the points shown on the graphAn ordered triplet of lines (the axes) that are pair-wise perpendicular and pass through the same point (the origin) make up a Cartesian coordinate system for a three-dimensional space.
Each axis also has an orientation, and the length of all three axes is equal.
In ordered triplet, the order of the axis is (x, y, z)
z is vertical up positive and down negative
y is horizontal right is positive and left is negative
x is the axis pointing to us which is positive pointing away is negative
Using this information, to trace the point shows that the point marked by a dot is (4, -5, 6).
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MAM I NEED HELP WHAT DO I NEED TO PUT!!!!!
Help me plz have a blessed day
Answer:
b. (2,0)
Step-by-step explanation:
To find which ordered pair is a solution, we have to replace then into the equation, and the result has to be an identity, that is, 0 = 0.
Equation:
[tex]y = -5x + 10[/tex]
Option a:
[tex](-15,5)[/tex], so [tex]x = -15, y = 5[/tex]
[tex]y = -5x + 10[/tex]
[tex]5 = -5(-15) + 10[/tex]
[tex]5 = 75 + 10[/tex]
[tex]5 = 85[/tex]
Not an identity, so this ordered pair is not a solution.
Option b:
[tex](2,0)[/tex], so [tex]x = 2, y = 0[/tex]
[tex]y = -5x + 10[/tex]
[tex]0 = -5(2) + 10[/tex]
[tex]0 = -10 + 10[/tex]
[tex]0 = 0[/tex]
Identity, and thus, the correct answer is given by option b.
Which of the following are solutions to the quadratic equation? Check all that
apply
2x2 + 9x-3 = -x2 + x
Step-by-step explanation:
I don't see options but here's the solution
2x²+9x-3=-x²+x
2x²+x²+9x-x-3=0
3x²+8x-3=0
(3x-1)(x+3)=0
Therefore x=⅓ or-3
In Figure 5.51 given to the right, m( <ABC) =
32°, m(<BHE) = 42° and m( <ADE) = 48°
Find m(<NAD).
Answer:
122
Step-by-step explanation:
<HEB=180-(42+32)
=180-74
=106
<DEA=180-106 (straight line)
=74
<NAD=48+74(exterior angle = sum of 2 interior opposite angles)
<NAD=122
1. Explain how place-value blocks can
help you with division.
Using place value along with division facts in a division equation, helps in dividing larger numbers easily. Place value counters and tape diagrams are often used to represent division using place value.
What is division?
With the arithmetic operation of division, we can divide a collection of items into equal pieces. Typically, it is represented by the symbol "÷".
The bigger amount that is divided into equal halves is called the dividend.
The number of groups that divide the payout is known as the divisor. Following division, the result is the quotient.
The value of a digit in a number is determined by its place in the number, or place value.
Divide larger numbers simply by applying place value and division facts in a division equation. Place value division is frequently shown using tape diagrams and place value counters.
Example - 4 ÷ 2 = 2
In the first equation, the digits are 4 and 2. We can write it as 4 ones ÷ 2 ones = 2 ones (using the division fact).
Example - 40 ÷ 20 = 2
For the second equation, the digits are the same, but a zero has been added after 4, and the quotient thus has one zero at the end. So, we can write it as 4 tens ÷ 2 ones = 2 tens (using place value and the division fact).
Example - 400 ÷ 200 = 2
Similarly, for the third division equation, the same digits are present, but the number of zeros has increased. We are dividing 4 hundreds ÷ 2 ones = 2 hundreds (using place value and the division fact).
Therefore, place value blocks help in division for making it simpler.
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how long would it tak to go 75 miles if you can go 45 mph
Find the area of the rhombus.
Find the area. The figure is not drawn to scale.
Answer:
I don't know if this is right but I think it is 32m
Answer:
Hello! answer:
question 30: 128 m2
question 31: 1188 in2
Step-by-step explanation:
Hello just in advance I dont know if you need unuts or not but i believe those are correct if not Im sorry but the answers are 100% correct.
For the first one I found the area of a singular triangle then just multiplued by 4 cause all of those triangles are the same so... triangle area is... base × height ÷ 2 or base × height × 1/2
8 × 8 = 64 64 ÷ 2 = 32 32 × 4 = 128 therefore the area is 128 for the second I just did base × height therefore 36 × 33 = 1188 therefore thats the area hope that helps!
What is a quadratic function (f) whose zeros are -2 and -11
Hence the required quadratic equation is +13x+22.we can find by multiplying of given factor.
What are quadratic equations explain?Quadratics equation is a polynomial equation of a second degree which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.
What are the ways to solve a quadratic equation?The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula. Quadratic equations have many applications in everyday life. Quadratic equations must be used directly or indirectly in every field that involves calculating speed.
Now we have [tex]x1[/tex]=2 [tex]x2[/tex]=-11
then quadratic function will be
(x+2) (x+11)
[tex]x^2+2x+11x+22[/tex]
[tex]x^2+13x +22[/tex]
this is our required quadratic equation.
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Complete question is: Write a quadratic function f whose zeros are 2 and -13.
Hence the required quadratic equation is +13x+22.we can find by multiplying of given factor.
What are quadratic equations explain?Quadratics equation is a polynomial equation of a second degree which implies that it comprises a minimum of one term that is squared. It is also called quadratic equations. The general form of the quadratic equation is: ax² + bx + c = 0. where x is an unknown variable and a, b, c are numerical coefficients.
What are the ways to solve a quadratic equation?The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula. Quadratic equations have many applications in everyday life. Quadratic equations must be used directly or indirectly in every field that involves calculating speed.
Now we have x¹ = 2 x² = -11
then quadratic function will be
(x+2) (x+11)
x² + 2x + 11x + 22
x² + 13x + 22
This is our required quadratic equation.
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The complete question is-
Write a quadratic function f whose zeros are 2 and -13.