Answer:
I) |xz| ≈ 28.6 km
II) |yz| ≈ 34.8 km
Step-by-step explanation:
Let's assume that the position of ship due south of x is z (aà pictor representation of the question is attached)
|xy| = 20 km, |xz| = ?, |yz| = ?, θ(y) = 55°
Using Trigonometric ratio - SOHCAHTOA
I) Tan θ = |xz| ÷ |xy| ⇒ Tan 55° = |xz| ÷ 20
|xz| = 20 * Tan 55 = 20 * 1.428
|xz| = 28.56 km
|xz| ≈ 28.6 km
II) Cos θ = |xy| ÷ |yz| ⇒ Cos 55° = 20 ÷ |yz|
|yz| * Cos 55° = 20 ⇒ |yz| = 20 ÷ Cos 55°
|yz| = 20 ÷ 0.574 = 34.84 km
|yz| ≈ 34.8 km
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer: 56.2
Step-by-step explanation:
hope this is the right answer :)
Rotate the given triangle
90°clockwise about the origin.
HELP PLEASE I NEED THIS
Answer:
0,1,2
0,-3,-5
Step-by-step explanation:
how to write 7/10 into percent
Answer:
Convert fraction (ratio) 7 / 10 Answer: 70%
Answer:
70%
Step-by-step explanation:
To find percentage = fraction * 100
= 7/10 * 100
= 0.7 * 100
= 70%
Which statement correctly compares the areas of these two rectangles?
A statement that correctly compares the areas of these two rectangles is that the area of the yellow rectangle is greater than the area of the blue rectangle by 8 square units.
How to calculate the area of a rectangle?In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:
A = LW
Where:
A represent the area of a rectangle.W represent the width of a rectangle.L represent the length of a rectangle.Based on the information provided about these rectangles, we have the following:
Area of blue rectangle = 10 × 4
Area of blue rectangle = 40 square units.
Area of yellow rectangle = 6 × 8
Area of yellow rectangle = 48 square units.
Difference = Area of yellow rectangle - Area of blue rectangle
Difference = 48 - 40
Difference = 8 square units.
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1. Which equation represents a line that is perpendicular to the line represented by 2x - y =7
The equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6
Equation of a lineThe equation of a line in slope-intercept form is expressed as;
y = mx + b
where;
m is the slope
b is the y-intercept
For two lines to be perpendicular, the product of their slope must be -1
Given the equation 2x - y =7
Rewrite
y = 2x - 7
The slope of the line is 2, the slope of the line perpendicular must be -1/2. Hence from the given option, the equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6
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Barry opens a savings account after seeing the ad. He deposits $1,300.
Determine an equation that relates the amount of time t in years that Barry holds his account to the amount of interest I that he earns.
Enter the correct answer in the box.
The question is an illustration of simple interest.
The equation that relates Barry's savings after t years is; \(f(t)=1300 + 28.6t\)
The given parameters are:
\(P = 1300\) --- the amount deposited
\(r = 2.2\%\) --- annual interest
So, the interest is calculated using:
\(I = PRT\)
This gives
\(I = 1300 \times 2.2\% \times t\)
\(I = 28.6 \times t\)
\(I = 28.6t\)
So, the equation that relates Barry's savings after t years is;
\(f(t)=P + I\) --- i.e. the amount deposited plus the interest
This gives
\(f(t)=1300 + 28.6t\)
Hence, the required equation is: \(f(t)=1300 + 28.6t\)
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I'm stuck on this question for math in middle school, so I can't help
define a positive integer n to be a factorial tail if there is some positive integer m such that the base-ten representation of m ! ends with exactly n zeros. how many positive integers less than 1992 are not factorial tails?
The number of positive integers which are less than 1992 and not factorial tails are 396.
Positive integer are defined as the all the integers greater then zero.There are positive integers, zero, and negative integers.
Let for some positive integer with exactly n zeros be m
Number at the end of zeros of m! be f(m)
f(m) = ( m /5 ) + ( m /25 ) + ( m /125 ) + ( m /625 ) + ....
Here 'm' is multiple of 5
So ,f(m) = f( m + 1) = f( m + 2) = f( m + 3 ) = f( m + 4 )
And f(m) ≤ ( m /5 ) + ( m /25 ) + ( m /125 ) + ( m /625 ) +...
= m / 4.03
= m / 4
Value of m greater than 7964 such that f(m) = 1991
f( 7975 ) = 1991
Number of distinct positive integer 7975 / 5 = 1595 less than 1992
Number of positive integers less than 1992 and they are not factorial tails are equal to
= 1991 - 1595
= 396.
Therefore, there are 396 positive integers which are less than 1992 and are not factorial tails.
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How
do I show significant difference using superscript between these
values? (anova single factor test)
Yes, you can show significant differences using superscripts in an ANOVA (Analysis of Variance) single-factor test.
In an ANOVA test, superscripts are commonly used to indicate significant differences between the means of different groups or treatments.
Typically, letters or symbols are assigned as superscripts to denote which groups have significantly different means. These superscripts are usually presented adjacent to the mean values in tables or figures.
The specific superscripts assigned to the means depend on the statistical analysis software or convention being used. Each group or treatment with a different superscript is considered significantly different from groups with different superscripts. On the other hand, groups with the same superscript are not significantly different from each other.
By including superscripts, you can visually highlight and communicate the significant differences between groups or treatments in an ANOVA single-factor test, making it easier to interpret the results and identify which groups have statistically distinct means.
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Find the surface area of the composite solid. Write your answer as a decimal.
Answer:
283.5 cm squared
Step-by-step explanation:
The surface area of a solid is basically just the sum of the areas of all the exterior sides. In this figure, we have 3 congruent triangles at the top, 3 congruent rectangles on the sides, and 1 triangle at the base. We need to find all these areas.
3 congruent triangles:
The area of a triangle is denoted by: A = (1/2) * b * h, where b is the base and h is the height.
Here, the base of one triangle is 10 and the height is 4. So:
A = (1/2) * b * h
A = (1/2) * 10 * 4 = 20
Since there are 3 such triangles, multiply 20 by 3:
20 * 3 = 60 cm squared
3 congruent rectangles:
The area of a rectangle is denoted by: A = lw, where l is the length and w is the width.
Here, the length is 6 and the width is 10, so:
A = lw
A = 6 * 10 = 60
There are 3 such rectangles, so multiply 60 by 3:
60 * 3 = 180 cm squared
1 base triangle:
Again we use the formula A = (1/2) * b * h for this area.
Here, the base is 10 and the height is 8.7, so:
A = (1/2) * b * h
A = (1/2) * 10 * 8.7 = 43.5 cm squared
Add all these together:
60 + 180 + 43.5 = 283.5 cm squared
The answer is thus 283.5 cm squared.
Answer:
283.5 cm²
Step-by-step explanation:
3 rectangles + 3 triangles on top + triangular base
3(10×6) + 3(½×10×4) + (½×10×8.7)
180 + 60 × 43.5
283.5 cm²
What is the constant in the expression 6a+2b+5?
Answer:
The answer would be 5.
Step-by-step explanation:
Tthe other terms have a number being multiplied by a variable.
Pleaseeee , I’ll give you Brainlest:)
Answer:
30 days
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
10^12=1000000000000
1000000000000/24=4.66666666_
that means 4 and a half days but put in 4.5.(I didn't feel like putting the rest of the work i forgot, its 30
if you cant see let me know.
Answer:
Photo is blurred not be able to seee
is -(-3/2) equivalent to -3/2
Answer:
no it's equal to 3/2 because 2 negatives equal a positive number
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
No, it's not equivalent
Step-by-step explanation:
\(-(\frac{3}{2} ) = 1\frac{1}{2\\}\)
\(-\frac{3}{2} = -1\frac{1}{2}\)
if (x) = 4X-8 and g(x) = 5x + 6, find (f-g)(x). O A. (f- g)(x) = - 4x + 5x + 14 O B. (f- g)(x) = 4% - 5x - 14 O C. (f- g)(x) = -x - 14 0 D. (f- g)(x) = 4x + 5x - 2
(f-g)(x) = -x - 14 (option C)
Explanation:f (x) = 4x - 8
g(x) = 5x + 6
(f-g)(x) means f(x) - g(x)
f(x) - g(x) = 4x - 8 - (5x + 6)
open the parnethesis:
Note: Multiplication of same sign gives positive number. Multiplication of opposite signs give negative number.
4x - 8 - (5x + 6) = 4x - 8 - 5x - 6
collect like terms:
f(x) - g(x)= 4x - 5x -8 - 6
f(x) - g(x) = -x - 14
(f-g)(x) = -x - 14 (option C)
if my avg is a 96 and my final exam is a 75 which is 25% of my whole grade what will my final grade be
Step-by-step explanation:
That means the 96 is 75% of your grade
96 (.75) + 75 (.25) = 90.75 final grade
Find the difference!
Answer:
2x + 10
_______
x^3 - 4x
Step-by-step explanation:
this is the answer
I need to find x. if m
Given:-
\(\angle BCD=51\)To find the value of x.
Since the corresponding opposite angles are equal and also the sum of angles inside a triangle is 180 degrees. we get,
\(\begin{gathered} 14x+4+55+51=180 \\ 14x+110=180 \\ 14x=180-110 \\ 14x=70 \\ x=\frac{70}{14} \\ x=5 \end{gathered}\)So the required value of x is 5.
If i buy a disc which costs $16,30, there's a 10% discount. how much i'm i going to pay?
The price we have to pay for the disc after 10% discount is 1467 dollars.
What is percentage ?Percentage is the value per hundredth.
According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.
10% of 1630 dollars will be
= (10/100) × 1630 dollars.
= 16300/100 dollars.
= 163 dollars.
So, the price we have to pay for the disc after 10% discount is
= (Total amount - Discount amount)
= ( 1630 - 163 ) dollars.
= 1467 dollars.
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I need help plz! plz don't just do this for the points!
See image below!
Answer:
6 1/10
Step-by-step explanation:
You multiply the left fraction by 5 and the right by 2 so the denominators come out equally as 10 which makes your new fractions, 4 5/10 and 1 6/10 then add them together and it would be 5 11/10 and you break it down so it’s 6 with 1 left over making it 6 1/10
8. Set up the artificial variable LP (Phase I LP) and specify the EBV and the LBV. DO not perform a complete pivot (complete with the exchange of basic variables). ( 16pts ) MaxZ=4x
1
+7x
2
+x
3
s.t.
2x
1
+3x
2
+x
3
=20
3x
1
+4x
2
+x
3
≤40
8x
1
+5x
2
+2x
3
≥70
x
1
,x
2
≥0
To set up the artificial variable LP (Phase I LP) for the given problem, we introduce an artificial variable, LP, to the objective function with a coefficient of 1. The artificial variable is used to identify infeasible solutions.
To set up the artificial variable LP (Phase I LP), we modify the objective function as follows:
Maximize Z = 4x1 + 7x2 + x3 + LP
The artificial variable LP is introduced to the objective function with a coefficient of 1. This allows us to track its value during the iterations.
The initial constraints remain the same:
2x1 + 3x2 + x3 = 20
3x1 + 4x2 + x3 + x4 = 40
8x1 + 5x2 + 2x3 - x5 = 70
The initial basic variables (BV) are the slack variables corresponding to the equality and inequality constraints, namely, x3 and x4. The artificial variable LP is initially a non-basic variable.
The initial artificial variables' basic variable (BVB) values are set to the right-hand side values of the constraints:
x3 = 20
x4 = 40
The initial artificial variable LP's value is set to 0.
Next, the artificial variable LP is selected as the entering variable, as it has a positive coefficient in the objective function. To determine the leaving variable, we perform the ratio test using the ratios of the right-hand side values and the entering column values (coefficients of LP) for the respective constraints.
The leaving variable is determined based on the minimum ratio, ensuring that the corresponding row represents a valid pivot element. If no valid pivot element is found, the problem is infeasible.
This completes the setup of the artificial variable LP (Phase I LP) without performing a complete pivot. Further steps would involve applying the simplex method and iteratively pivoting to find the optimal solution or identify infeasibility.
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Which of the following ordered pairs is a solution to the equation 2x+6y=6? Select all that apply.
elect all that apply:
(−6,3)
(10,4)
(−3,2)
(12,12)
(−3,−4)
.help ill grive brainlest
Answer:
p and r im not sure
Step-by-step explanation:
What is the solution set to F(x)=x4+2? Using small values, form a list of ordered pairs.
Include all of your work in your final answer. Submit your solution.
Answer:
If you don't agree or there's an error, let me know so I can edit.
Step-by-step explanation:
f(x) = x⁴ + 2
differentiate
f(x) = 4x³ + 0 =0
x(4x²) = 0
at x= 0 f(x) = 0 points = (0,0)
at x= 1. f(x) = 3 points = (4,3)......
The ordered pair is (4,3).
What is ordered pair?An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.
Given:
f(x) = x⁴ + 2
Now, differentiate the above function for the small values
f(x) = 4x³ + 0 =0
x(4x²) = 0
When x= 0
f(x) = 0
So, the points = (0,0)
when x= 1
f(x) = 3
so, the points = (4,3).
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A triangle has two sides of lengths 6 and 9. What value could the length of
the third side be? Check all that apply.
OA. 7
B. 2
C. 4
OD. 15
□E. 10
O F. 12
SUBMIT
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
To determine the possible values for the length of the third side of a triangle, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
Given that two sides have lengths 6 and 9, we can analyze the possibilities:
6 + 9 > x
x > 15 - The sum of the two known sides is greater than any possible third side.
6 + x > 9
x > 3 - The length of the unknown side must be greater than the difference between the two known sides.
9 + x > 6
x > -3 - Since the length of a side cannot be negative, this inequality is always satisfied.
Based on the analysis, the possible values for the length of the third side are:
A. 7
C. 4
□E. 10
O F. 12
B. 2 and OD. 15 are not possible lengths for the third side of the triangle.
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a new printing press can print newspapers twice as fast as the old one can. the old one can print the afternoon edition in 4 hours. find how long it takes to print the afternoon edition if both printers are operating.
The speed of both printers operating together is 1.333 hours which was found using the given data.
What is distance, time and speed?The formula used to explain the connection between speed, distance, and time is speed = distance/time.
Given: Newspapers can be printed twice as quickly on a modern printing press as they can on an old one. The old one takes four hours to publish the afternoon edition.
Let,
a = Speed of New printing press
b = Speed of Old printing press
x = Speed of both printers operating together
We know that,
(1/a)+(1/b)=(1/x)
(1/2)+(1/4)=(1/x)
(4/8)+(2/8)=(1/x)
6/8=1/x
x=8/6
x=1.333
Therefore, the speed of both printers operating together is 1.333 hours which was found using the given data.
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50 points if you answer correctly
Answer:
\(f(3) = {3}^{2} + 5(3) - 9 \\ f(3) = 9 + 15 - 9 \\ f(3) = 15\)
Answer:
1. D. 15
2. A. 3
3. A. c= 6g+5
4. A. All real numbers
5. D
(6.-1);y=-5x+3
slope intercept form
Answer:
y = x + 4 y= x − 8 25 x + y =
3
Step-by-step explanation:
Fwd:The hardware store is having a 15% off sale on lawn mowers this weekend. If x is the original price of a lawn mower, what will be the final sales price, excluding tax? Select two that apply. (0.15 + x) , x - 0.15 , 0.15x, (x - 0.15x) , x(1.00 - 0.15)
Answer:
(x - 0.15x) and x(1.00 - 0.15)Step-by-step explanation:
Let x be the original price of a lawn mower,
If the hardware store is having a 15% off sale on lawn mowers this weekend, the amount discounted is expressed as;
= 15 % of x
= 0.15 of x
= 0.15x
Final sales price = Original price - discounted price;
Final sales price = x - 0.15x
Factor out x;
x - 0.15x = x(1 - 0.15)
Hence the correct equations are (x - 0.15x) and x(1.00 - 0.15)
Given: AB = 4 AD = 6 What is the name of the radius of the larger circle? AD AB A
Use the rule of inference to obtain conclusion from the each of the set of premises
"If I play hockey, then I am sore the next day."
"I use the whirlpool if I am sore."
"I did not use the whirlpool."
The given set of premises can be used to obtain a conclusion using the rule of inference called Modus Tollens. Modus Tollens is a valid argument form that uses the premise of a conditional statement and its negation to reach a valid conclusion. The argument form is as follows:
If P then Q.
Not Q.
Therefore, not P.
Using Modus Tollens, we can write the argument as follows:
If I play hockey, then I am sore the next day.
I did not use the whirlpool.
Therefore, I did not play hockey.
The conclusion obtained from the given set of premises is that the person did not play hockey. This is because the person did not use the whirlpool, which is a condition that follows from being sore after playing hockey. If the person did not use the whirlpool, it means that they were not sore, which implies that they did not play hockey.
In summary, using the rule of inference called Modus Tollens, we can conclude that the person did not play hockey based on the given premises.
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