Answer:
$75 ?
Step-by-step explanation:
If this is wrong super sorry :)
N
The accurate scale drawing shows
the positions of port P and a lighthouse L.
►
c)
N
Lindsey sails her boat from port P
on a bearing of 050°
She sails for 12 hours at an average
speed of 5 km/h to a port Q.
Ito-
L
p*
Scale: 1 cm represents 3 km.
a) Indicate the position of port Q on the drawing (use the x tool).
(2)
b) Find the distance, in km, of port Q from lighthouse L.
(1)
c) Find the bearing of port Q from lighthouse L.
)
(2)
Total marks: 5
Feedback
The Indication of the position of port Q on the drawing is shown by using the example of the image attached.
What is the distance about?To Indicate the position of port Q on the drawing (use the x tool).
12 * 5 = 60km
Note that S= VT
Because 1cm represent 3km
1/3 =x/60
3x = 60
x= 60/3
x= 20
So therefore, 60km needs 20cm.
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Aina, who works in an accounting firm, earns a monthly salary of 35,000 PHP per month and also receives 3,500 PHP for a monthly allowance. Her monthly contributions are as follows: 1,466 PHP for income tax, 300 PHP for PhilHealth, 800 PHP for SSS, and 100 PHP for Pag-IBIG. Find her NET INCOME for this month.
Using the given information, Aina's net income is for the month is 35,834 PHP
Calculating Net incomeFrom the question, we are to determine the net Aina's net income
Aina's net income is the value of her total income minus all other expenses
From the given information,
Aina's monthly salary is 35,000 PHP per month and also receives 3,500 PHP for a monthly allowance
∴ Aina's total income = 35,000 PHP + 3,500 PHP
Aina's total income = 38,500 PHP
Sum of her other expenses = 1,466 PHP + 300 PHP + 800 PHP + 100 PHP
Sum of her other expenses = 2,666 PHP
∴ Aina's net income = 38,500 PHP - 2,666 PHP
Aina's net income = 35,834 PHP
Hence, Aina's net income is for the month is 35,834 PHP.
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Need help trying to find the answer
Answer:
3/20
Step-by-step explanation:
1. Multiply the numerators
2. Multiply the denominators
3. Your answer, in this case, will be 6/40
4. Simplify fraction to its simplest form* which gives you 3/20
*I halved both numbers as they are both even
Hope this helped :)
Someone pls help fast!
Answer:
decreasing and linear
Step-by-step explanation:
it just is
Answer:
Decreasing, linear
Step-by-step explanation:
you are going -4 every time
Please answer if you can 30 points.
What is the y-intercept of the linear function given the following table?
Answer:
The y-intercept is 4
Step-by-step explanation:
You find the y-intercept by finding where x is zero. In the table, when x=0 the y=4. The y-intercept is 4. The graph of the function crosses the x-axis at the point (0,4).
Answer:
4
Step-by-step explanation:
the y-intercept is the y-coordinate where the line intersects the facis.So if we want to figure out the intercept,we're going to set x=0 and sdue for Y.
Ajay wraps a gift box in the shape of a triangular pyramid. The figure below shows a
net for the gift box.
8.66 m
10 m
If all the triangles are equilateral, how much wrapping paper
did he use, in square meters?
Ajay wraps a gift box in the shape of a triangular pyramid. The amount
of wrapping paper he uses is 173.2 square inches.
How to calculate the surface area of a triangular pyramid?The formula for calculating the total surface area is expressed as:
Area = 4(area of triangle)
The area of the triangle
A = 0.5(8.66)(10)
A = 43.3 square inches
The total surface area will be
TSA = 4(43.3)
TSA = 173.2 square inches
Hence the amount of wrapping paper Ajay uses is 173.2 square inches
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Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
The angles are vertical, and the value of x is 128 degrees
Step-by-step explanation:
You can tell vertical angles apart from adjacent by looking at their position. Adjacent angles are side by side, right next to each other. Vertical angles are directly across from each other, with their points touching.
Since the angle measures of vertical angles are equal, the value of x is 128
i hope this helps
The value of a television t years
after its purchase is modeled by the
exponential function ƒ(t) =
1500(0.83)t. Which best describes
the domain and range of this
exponential function?
Step-by-step explanation:
hope you anderstand
if that's the answer can you brainliest me please thank you
Help please need asap!! Thank you
Answer:
your welcome
Step-by-step explanation:
....bbc
2/ 2 2/3 = 3/N solve for N
when i put this in my calculator it says unable to solve
Answer:
n = 9 / 2 or 4.5
Step-by-step explanation:
2/3 = 3/N
cross multiply
2 x n = 2n
3 x 3 = 9
2n = 9
divided both sides by 2
2n / 2 = 9 / 2
n = 9 / 2
Help -x/3 > 5
A. X<15
B. X > -15
C. X < -15
D. X > 15
Answer:
Steps
-x/3 >5
Multiply both sides by 3
3(-x/3)>5.3
Simplify
-X> 15
Multiply both sides by - 1 (reverse the inequality)
(-x)(-1)<15(-1)
Simplify
X< -15
so C is the answer
3. Manny's weekly wage as a welder are $520.75. He is single and claims 3 allowances. What amount is
deducted for federal taxes?
If he is single and claims 3 allowances. The amount deducted for federal taxes is $39.8
Federal taxesFederal tax withheld:
Federal tax withheld =6.2% social security + 1.45% Medicare
Federal tax withheld = 7.65%
Deduction:
Deduction= 0.0765 × $520.75
Deduction=$39.8
Therefore the amount deducted for federal taxes is $39.8
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Can someone help me with this?
- Thankyou in advance
Using the law of cosines, write an algebraic proof to show that the angles in an equilateral triangle must equal 60°. Use "∧" to indicate exponents. For example, type a2 as a∧2. (Hint: Let s be a length of each side and x be the angle measure; then use these variables in the law of cosines.)
The algebraic proof shows that the angles in an equilateral triangle must equal 60° each
What is trigonometry?Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
From the question, we are to use the law of cosines to write an algebraic proof that shows that the angles in an equilateral triangle must equal 60°.
Given any triangle ABC, the measures of angles A, B, and C by the law of cosines are
cos A = (b² + c² - a²)/2bc
cos B= (a² + c²- b²)/2ac
cos C = (a²+ b²- c²)/2ab
Now, given that the triangle is equilateral, with each of the side lengths equal to s
That is, a = b = c = s
Then, we can write that
cos A = (s² + s² - s²)/(2s×s)
cos A = (s² )/(2s²)
cos A = 1/2
cos A = 0.5
∴ A = cos⁻¹(0.5)
A = 60°
Also
cos B = (s² + s² - s²)/(2s×s)
cos B = (s²)/(2s²)
cos B = 1/2
cos B = 0.5
∴ B = cos⁻¹(0.5)
B = 60°
and
cos C = (s² + s² - s²)/(2s×s)
cos C = (s² )/(2s²)
cos C = 1/2
cos C = 0.5
∴ C = cos⁻¹(0.5)
C = 60°
Thus,
A = 60°, B = 60° and C = 60°
Hence, the algebraic proof above shows that the angles in an equilateral triangle must equal 60° each.
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2. Find the cosine function that is represented in the graph.
Answer:
[tex]f(x) = cos(x - \frac{\pi }{4} ) -1[/tex]
Step-by-step explanation:
In this graph, we have the coordinate point ([tex]\frac{\pi }{4} , 0[/tex]). Without translations, cos(0) = 0, which means that the graph is shifted to the right by [tex]\frac{\pi }{4}[/tex]. We also know that the graph is shifted down by 1 because we have the point
([tex]\frac{5\pi }{4} , -2[/tex]), but accounting for the right shift, this point should really by ([tex]\pi , -2[/tex]). cos([tex]\pi[/tex]) = -1, but on the graph it is -2, meaning that it is shifted down by 1.
Therefore, accounting for the right shift by [tex]\frac{\pi }{4}[/tex] and the shift down by 1, our equation is [tex]f(x) = cos(x - \frac{pi}{4} ) - 1[/tex].
Shreya has 40 pairs of shoes stacked inboxes.
If a pair is 2 shoes, how many shoes does Shreya have?
Answer:
it's either 20 or 80..
Answer:
80 shoes
Step-by-step explanation:
40×2
what equation represents the graph
Answer:
y = (x + 1)(x - 2)(x -3)
Step-by-step explanation:
Looking at the graph we see our zeros which is on the x-axis is -1 , 2, 3.
Thus create an equation.
y = (x + 1)(x - 2)(x -3)
A group of friends are dining at a
pizza parlor. They have 1 1/2 pizzas. If
each friend eats 1/4 of a pizza, how
many friends can have an equal
share?
Answer:
6 friends
Step-by-step explanation:
because 1/4 goes 4 times into a whole 1 and then 2 times into a half, equalling six
Calculate the following 87124 + 14997=
Answer:
87124 + 14997 = 102121
Hope it helpz~ uh..
Carry on learning :)
Answer:
102121
Step-by-step explanation:
Please help me I’m confused
cant delete this answer. my bad
Bruno says that the product n x 4/5 is greater than 4/5 because multiplication always increases a number. Which of the following values for show that Bruno is incorrect? 8/8 6/5 5/4 3/4 2
Answer:
The fourth option shows how Bruno is incorrect
Step-by-step explanation:
Multiplication does not always result in a number greater than the initial value. If n can be any value, then Bruno's claim is false. For instance, multiplying a value greater than one by a decimal will perform the inverse operation (division):
3 × 0.87 = 2.61
When multiplying fractions of 1, this occurs when the multiplied number is greater than the multiplier:
0.55 × 0.21 = 0.1155
If decimals are not allowed, multiplying positive and negative values will give the positive result but with the inverse sign, which is less than the initial one since the result is less than 0:
12 × -2 = -24
Now back to the example. If we let n = 0.75 (3/4);
0.8 × 0.75 = 0.6
Hope that clears things up.
How many solutions does this equation has: 3x-5=-3
Answer:
One solution
Step-by-step explanation:
The only solution is x = 2/3
Need help trying to find the answer
Step-by-step explanation:
[tex] = \frac{2}{9} \times \frac{3}{5} \\ [/tex]
[tex] = \frac{6}{45} \\ [/tex]
Change into lowest term...
[tex] = \frac{2}{15} \\ [/tex]
What is the value of the angle marked m? P
Answer:
180
Step-by-step explanation:
bcoz it's a straight angle
A group of pupils take a test. The group consists of 28 boys and 24 girls.
The mean mark for the boys is 28. The mean mark for the girls is 14.
Calculate the mean mark for the whole group.
Give your answer correct to 1 decimal place.
Answer:
21.5 to 1 decimal place.
Step-by-step explanation:
The total number of marks for all the boys = 28*28 = 784 marks.
The total number of marks for all the girls = 24*14 = 336 marks.
So the mean mark for the whole group
= (784+336) / (28+24)
= 1120 / 52
= 21.538
Is it SSS, SAS, ASA, AAS, or HL?
Triangle ABC is congruent to triangle DEF based on the SAS congruence theorem.
What is the SAS Theorem?The SAS theorem is a triangle congruence theorem that states that two triangles are congruent if they have two pairs of congruent sides that are corresponding to each other, and a pair of congruent included angles.
Triangles ABC and DEF have:
A pair of congruent included angles - ∠DEF ≅ ∠ABCTwo pairs of congruent sides - AB ≅ DE and CB ≅ FETherefore, they are congruent by SAS.
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A castle built for the man who founded the town of Redstone, CO, can now be yours, for $19.75 million. (Sherman, T.)
A coal magnate, John Cleveland Osgood, built the castle for his wife near the town of Redstone, which was founded as a company town for people working in the coal mining industry. Construction began in 1897 and was completed in 1902. (Sherman, T.)
In the early 1900s, John Cleveland Osgood was known as the King of Coal in the West. He was sixth richest of the Robber Barons, a group of elite industrialists. As a social and industrial experiment, Osgood decided he wanted to build a town in the Colorado mountains that would provide better living conditions for the miners working nearby. Instead of the tents and tiny cabins common in mining towns, Osgood built Swiss-style cottages – with electricity and running water - along the river. He also built a clubhouse with a theater, school, library, lodge, community garden and stables. (Kesting, A.).
Known as Redstone Castle and as the "Ruby of the Rockies," the 42-room castle has almost 30,000 square feet of interior space. It also has over 150 acres of land, surrounded by beautiful scenery along the Crystal River. (Sherman, T.)
It's not the first time the castle has been up for sale in recent years. Steve and April Carver purchased it at an auction for $2.2 million in 2016. (Oravetz, J.)
The Carvers worked to renovate and restore the castle and have operated it as a hotel since 2018. (Oravetz, J.)
1. Calculate the annual compound growth rate of the Redstone Castle price since the house was purchased by Steve and April Carver (in 2016) until it was listed for sale in 2020. (The growth rate should be calculated to two decimals in percentage form. Round the number of years to the whole number). Please show your work.
2. Assume that the average compound growth rate prevailed since John Cleveland Osgood built the Castle in 1902 until 2016 was 5.52% per year compounded annually. Calculate the price of the house in 1902. (Round the number of years to the whole number). (TIP: To get the answer correctly you need to use the price of the house in your calculations in dollars with all zeros). Please show your work.
3. You were using the time value of money concept to answer question #2. Think about the timeline for that problem. What year is considered as the time point 0 in that problem? Please explain your answer
4. Assume that the average compound growth rate you were using in the question #2 now is compounded daily. Calculate the price of the house in 1902. Compare with your answer to the question #2. (Round the number of years to the whole number). (TIP: To get the answer correctly you need to use the price of the house in your calculations in dollars with all zeros). Please show your work.
5. Assume that the house was purchased for the price listed in 2020. A commercial bank loaned the buyer the whole price (zero down payment) for 30 years. The loan must be repaid in equal monthly payments at the end of the month. The annual interest rate on the loan is 3.45% of the unpaid balance. What is the amount of the monthly payments? Please show your work.
The annual compound growth rate of the Redstone Castle price is 73.10%.
How to calculate the compound growth rate?From the information given, the formula to calculate the annual compound growth rate will be:
g = (F/P)^(1/n) - 1
where g = growth rate
f = final value = 19750000
p = initial value = 2200000
n = period = 2020 - 2016 = 4
g = (F/P)^(1/n) - 1
g = (19750000/2200000)^(1/4) - 1
g = 73.10%
Therefore, the growth rate is 73.10%
The price of the house in 1902 will be calculated thus:
PV = F/(1 + g)^n
= 19750000/(1 + 73.10%)^4
= $4811
The year that is considered as the time point 0 in that problem is 1902.
When the average compound growth rate in the question #2 now is compounded daily, the price of the house in 1902 will be $4071. The difference in values will be:
= $4811 - $4071
= $740
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How do you solve for x? X is not 34°, just to let you know.
Answer:
x = 90
Step-by-step explanation:
X is equal to 90 degrees:
As you can see it forms paralell line we know paralell line is equal to 180 degrees just divide it by 2, so 90
What is the sum of all prime numbers less than 78?
Answer:
712
Step-by-step explanation:
2 + 3 = 5 + 5 = 10 + 7 = 17 + 11 = 28 + 13 = 41 + 17 = 58 + 19 = 77 + 23 = 100 + 29 = 129 + 31 = 160 + 37 = 197 + 41 = 238 + 43 = 281 + 47 = 328 + 53 = 381 + 59 = 450 + 61 = 511 + 67 = 578 + 71 = 649 + 73 = 712
write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x+y=-5
Answer:
The equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x+y=-5 is 2x+y=4