Answers
The SinL as a fraction in the simplest form is 12/13.
We are given
The side NM = 5,
The side LM = 12,
By using Pythagoras' theorem, we can say that;
NL² = NM² + LM²
Substitute the values of NM and LM;
NL² = 12² + 5²
NL = 13,
For Sin L = perpendicular side/hypotenuse side
Sin L = NM / NL,
Sin L = 12/13
Therefore, the SinL as a fraction in the simplest form is 12/13
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Related Questions
Find the area under the curve
from 1 to 2.
thank you guys sm
Answers
2.883
I used Desmos graphing calculator to find this answer.
Find the x-coordinate of the inflection points for the function
guys pls help
Answers
After considering the given data we conclude that the x-coordinate of the inflection points for the function are x = - 2 and x = 2, which is option A.
To evaluate the x-coordinate of the inflection points for the function f(x) = ln(x² + 4) we need to evaluate the second derivative of the function and find for x when the second derivative equals zero.
The first derivative of f(x) is:
f' * (x) = (2x)/(x² + 4)
The second derivative of f(x) is:
f"(x) = 2(x² + 4)-4x² /(x²+4)² = 8 - 2x²/(x²+4)²
To evaluate the inflection points, we need to find the equation f'' (x) = 0 for x:
8 - 2x²/(x²+4)² = 0
After applying simplification this equation, we get:
8 - 2x² = 0
Evaluating for x, we get:
x = +/- √4) = +/- 2
Therefore, the x-coordinate of the inflection points for the function f(x) = ln(x² + 4)
x = - 2 and x = 2 .
The answer is A. x = - 2 and x = 2.
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How many times does 12 go into 72
Answers
Answer:
6 times with a remainder of 0
how do u not know this
skipped basic math have u?
Sam theows a ball up into the air and watches it come down. The equation for the height, h, in relation to time,t , is h=5f^2+25t. What is the range for height of the ball
Answers
Answer:
h = 5t²+ 25t
from projectiles
h = u²sin²∆ / 2g
taking the angle to be ∆
and range is u²sin2∆/g
Therefore integrate the equation h= 5t²+25t
R = 5t³/3 + 25t²/2 + t
(PEPPER FOOD DELIVERY) PLEASE READ FIRST
I just need to know how to do the math to answer the question. In the picture I am sending, it is not the full chart, but shows all the sections that are in it. I JUST NEED TO KNOW HOW TO DO THE MATH to answer this big question. DO NOT give me an answer because I did not provide all of the data to do the whole math problem since I can only post one photo at a time, just please tell me what I need to do for each part of this big question to properly answer it thats all.
following types of accounts (link):
• Asset Liability Equity • Revenue Expense $ J Calculate the following items using formulas in Excel (link)
• Total assets as of January 31, 2020 (put formula in Cell C84)
• Total liabilities as of January 31, 2020 (put formula in Cell 085) Revenues for the month ending January 31, 2020 (put formula in Cell C89) Expenses for the month ending January 31, 2020 (put formula in Cell C90)
• ● 4 • Net income for the month ending January 31, 2020 (put formula in Cell C91) Equity as of January 31, 2020 (put formula in Cell C86)Hint: Equity will be Common Stock + Retained Earnings + Net income - Dividends
4. Total liabilities and equity as of January 31, 2020 (put formula in Cell C87)Using your Excel worksheet and your answers to Requirement 2, answer the following questions:
a. What would the accounting equation (link) for Pepper Food Delivery be as of January 31, 2020?
b. What accounts would be found on Pepper Food Delivery's balance sheet (link) as of January 31, 2020?
c. What accounts would be found on Pepper's income statement (link) for the month ended January 31, 2020?
d. Did Pepper Food Delivery have a profitable month? How do you know?
e. What is the total amount that Pepper Food Delivery owes as of January 31, 2020?
4. What was Pepper Food Delivery's largest total expense for January?
Answers
1. Total assets as of January 31, 2020 (put formula in Cell C84):
To calculate the total assets, add up all the values under the asset column. The formula for cell C84 would be "=SUM(B4:B81)" (assuming that the assets start from row 4 and end at row 81).
2. Total liabilities as of January 31, 2020 (put formula in Cell C85):
To calculate the total liabilities, add up all the values under the liabilities column. The formula for cell C85 would be "=SUM(B87:B99)" (assuming that the liabilities start from row 87 and end at row 99).
3. Revenues for the month ending January 31, 2020 (put formula in Cell C89):
To calculate the total revenue for the month of January, add up all the values under the revenue column. The formula for cell C89 would be "=SUM(B66:B81)" (assuming that the revenues start from row 66 and end at row 81).
4. Expenses for the month ending January 31, 2020 (put formula in Cell C90):
To calculate the total expenses for the month of January, add up all the values under the expense column. The formula for cell C90 would be "=SUM(B51:B64)" (assuming that the expenses start from row 51 and end at row 64).
5. Net income for the month ending January 31, 2020 (put formula in Cell C91):
To calculate the net income, subtract the total expenses from the total revenues. The formula for cell C91 would be "=C89-C90".
6. Equity as of January 31, 2020 (put formula in Cell C86):
To calculate the equity, add up the values of common stock, retained earnings, and net income, and then subtract the value of dividends. The formula for cell C86 would be "=B3+B84+C91-B101" (assuming that the values for common stock, retained earnings, net income, and dividends are in cells B3, B84, C91, and B101, respectively).
7. Total liabilities and equity as of January 31, 2020 (put formula in Cell C87):
To calculate the total liabilities and equity, add up the values of liabilities and equity. The formula for cell C87 would be "=C85+C86".
Using the results from the above calculations, the questions can be answered as follows:
a. What would the accounting equation for Pepper Food Delivery be as of January 31, 2020?
The accounting equation for Pepper Food Delivery as of January 31, 2020 would be: Assets = Liabilities + Equity
b. What accounts would be found on Pepper Food Delivery's balance sheet as of January 31, 2020?
The balance sheet of Pepper Food Delivery would include assets, liabilities, and equity as of January 31, 2020.
c. What accounts would be found on Pepper's income statement for the month ended January 31, 2020?
The income statement of Pepper Food Delivery for the month ended January 31, 2020 would include revenues and expenses.
d. Did Pepper Food Delivery have a profitable month? How do you know?
To determine if Pepper Food Delivery had a profitable month, check if the net income is positive or negative. If the net income is positive, then the company had a profitable month. If it is negative, then the company had a loss. The result can
You'll need to build Excel formulas using =SUM() function on specified cells in order to calculate total assets, total liabilities, revenue, and expenses. To calculate net income, subtract total expense from total revenue. Calculate Equity by summing common stock, retained earnings, and net income, then subtracting dividends. Finally, sum total liabilities and total equity.
Explanation:To answer these questions, you are required to have Excel skills and basic understanding of business accounting principles. Let's break it down per section:
Total assets as of January 31, 2020. You simply need to calculate the sum of all the Asset accounts for that date. You would use the SUM formula in Excel like this: =SUM(range of cells with asset values). Total liabilities as of January 31, 2020. The same as assets, you calculate the sum of all the Liability accounts for that date. The SUM formula is the same as the one used for assets. The Revenues for the month ending January 31, 2020. This is the total sales the business had during January. Again, use the SUM formula to add all the relevant revenue accounts together. Expense for the month ending January 31, 2020. You should add up all expense account figures within that time frame using the SUM formula. Net income for the end of January. This can be derived by subtracting Total Expenses (C90) from Total Revenues (C89). Equity as of January 31, 2020. This is calculated as common stock, plus retained earnings, plus net income, minus dividends. Total liabilities and equity as of January 31, 2020. This is achieved by summing the total liabilities (C85) and total equity (C86).Learn more about Business Accounting here:
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Franklin got a Dino Delve activity set for his birthday there are eight dinosaur toys hidden in a large sand bin in Franklin must take to find them according to the manufacture each dinosaur toy has a 10% chance of being a T. rex how likely is it that at least one of the dinosaur toys in Franklin set is a T. rex
Answers
The chances that, at least, one of the dinosaur toys in Franklin's set is a T.rex is 57%.
Probability calculationWe can use the complement rule to find the probability that none of the dinosaur toys in Franklin's set is a T. rex, and then subtract this from 1 to get the probability that at least one of the toys is a T. rex.
The probability that a given toy is not a T. rex is 90%, or 0.9.
Since there are 8 toys in the set, the probability that none of them are T. rex is:
0.9 x 0.9 x 0.9 x 0.9 x 0.9 x 0.9 x 0.9 x 0.9 = 0.43
So the probability that at least one of the toys is a T. rex is:
1 - 0.43 = 0.57, or 57%
In other words, it is 57% likely that at least one of the dinosaur toys in Franklin's set is a T. rex.
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solve this exercise using the fact that the sum of the measures of the three angles of a triangle is 180 degrees in a triangle the measures of three angles are x x + 18 + x - 15 what is the measure of each angle
Answers
The measure of the first Angle is 59 degrees, the second angle is x + 18 = 77 degrees, and the third angle is x - 15 = 44 degrees
In any triangle, the sum of the measures of the three angles is always 180 degrees.
Let x be the measure of the first angle.
The second angle is x + 18 because it is given that the second angle is 18 more than the first angle.
The third angle is x - 15 because it is given that the third angle is 15 less than the first angle.
So, we have:
x + x + 18 + x - 15 = 180
Simplifying and solving for x, we get:
3x + 3 = 180
3x = 177
x = 59
Therefore, the measure of the first angle is 59 degrees, the second angle is x + 18 = 77 degrees, and the third angle is x - 15 = 44 degrees.
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How many combinations are possible? Assume the items are distinct.
7 items chosen 2 at a time
____ combinations
Answers
Answer:
21 combinations-----------------------
Find the combination of 2 out of 7:
7C2 = 7!/[(7-2)! * 2!] = 7! / (5! * 2!) = 6*7/2 = 21There are 21 combinations.
help please which one of this is and what is the x and y
Answers
The value x, y and z from the given matrix are -3.65, -4.5 and 2.2 respectively.
From the given matrix,
[tex]\left[\begin{array}{ccc}-2&6&-7\\2&-7&-3\\6&-4&-6\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-47\\22\\-10\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-2x+6y-7z\\2x-7y-z\\6x-4y-6z\end{array}\right] =\left[\begin{array}{ccc}-47\\22\\-10\end{array}\right][/tex]
-2x+6y-7z=-47 -------(i)
2x-7y-z=22 ---------(ii)
6x-4y-6z=-10 ---------(iii)
Add equation (i) and (ii), we get
-2x+6y-7z+2x-7y-z=-47+22
-y-8z=-27 ---------(iv)
Multiply equation (ii) by 3, we get
6x-21y-3z=66 ---------(v)
Subtract equation (iii) from (v), we get
6x-21y-3z-(6x-4y-6z)=66-(-10)
6x-21y-3z-6x+4y+6z=76
-17y+3z=76 ---------(vi)
Multiply equation (iv) by 17, we get
-17y-136z=-216 ---------(vii)
Subtract equation (vi) from (vii), we get
-17y-136z-(-17y+3z)=-216-76
-133z=-292
z=-292/(-133)
z=2.2
Substitute z=2.2 in equation (vii), we get
-17y-136(2.2)=-216
-17y-292.6=-216
-17y=-216+292.6
-17y=76.6
y=-4.5
Substitute y=-4.5 and z=2.2 in equation (ii), we get
2x-7y-z=22
2x-7(-4.5)-2.2=22
2x+31.5-2.2=22
2x+29.3=22
2x=22-29.3
2x=-7.3
x= -7.3/2
x= -3.65
Therefore, the value x, y and z from the given matrix are -3.65, -4.5 and 2.2 respectively.
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Can you help me with this question please?
Answers
A. The initial size of the culture is 222.11
B. The doubling period is approximately 13.53 minutes.
C. The population after 100 minutes is 5807.76
D . The population will reach 13000 after approximately 44.59 minutes.
How did we get these values?Use the formula for exponential growth:
N = N0 × eʳᵗ
where N is the population size at time t, N0 is the initial population size, r is the growth rate, and t is the time elapsed.
Using the given data:
At t=10, N=500
500 = N0 × eʳ×¹⁰
At t=30, N=1500
1500 = N0 × eʳ׳⁰
To solve for N0 and r, we can divide the second equation by the first:
¹⁵⁰⁰/₅₀₀ = eʳ׳⁰ / eʳ×¹⁰
3 = eʳ× ²⁰
Taking the natural logarithm of both sides:
ln(3) = r × 20
r = ln³/₂₀
r ≈ 0.0513 (rounded to 4 decimal places)
Now we can use N = N0 × eʳᵗ to answer the remaining questions:
- The initial size of the culture is:
N0 = N / eʳᵗ = 500 / ₑ(0.0513×10) ≈ 222.11 (rounded to 2 decimal places)
- The doubling period is the time it takes for the population to double. Find this by setting N = 2N0 and solving for t:
2N0 = N0 × eʳᵗ
2 = eʳᵗ
ln(2) = rt
t = ln²/ᵣ
t ≈ 13.53 (rounded to 2 decimal places)
So the doubling period is approximately 13.53 minutes.
- The population after 100 minutes is:
N = N0 × eʳᵗ = 222.11 × ₑ(0.0513×100) ≈ 5807.76 (rounded to 2 decimal places)
- To find when the population reaches 13000, we can solve N = 13000 for t:
13000 = N0 × eʳᵗ
13000 = 222.11 × ₑ(0.0513t)
58.56 = ₑ(0.0513t)
ln(58.56) = 0.0513t
t ≈ 44.59 (rounded to 2 decimal places)
So the population will reach 13000 after approximately 44.59 minutes.
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A university class has 27 students: 13 are history majors, 8 are accounting majors, and 6 are art majors. (Each student has only one of these majors.) The professor is planning to select two of the students for a demonstration. The first student will be selected at random, and then the second student will be selected at random from the remaining students. What is the probability that the first student selected is an accounting major and the second student is an art major?
Answers
Answer:
8/27
Step-by-step explanation:
There are a total of 27 students in the class, and 8 of them are accounting majors. Therefore, the probability of the first student selected being an accounting major is 8/27.
After the first student is selected, there will be 26 students remaining, out of which 6 are art majors. Therefore, the probability of the second student selected being an art major, given that the first student was an accounting major, is 6/26.
To find the probability of both events occurring together, we need to multiply the individual probabilities:
P(accounting major first) * P(art major second | accounting major first)
= (8/27) * (6/26)
= 48/702
= 8/117
Question 7 (5 points)
Graph f(x)=(x-4) (x+4)
x²-8x+12
Answers
A graph that represent the system of quadratic equations is shown in the image attached below.
What is the graph of a quadratic function?In Mathematics and Geometry, the graph of a quadratic function would always form a parabolic curve because it is a u-shaped. Based on the given quadratic function, we can logically deduce that the graph would be an upward parabola because the coefficient of x² is positive and the value of "a" is greater than zero (0).
By expanding the bracket, we have:
f(x) = (x - 4)(x + 4)
f(x) = x² - 4x + 4x - 16
f(x) = x² - 16
Since the leading coefficient (value of a) in the given quadratic function y = x² - 8x + 12 is positive 1, we can logically deduce that the parabola would open upward and the y-intercept is given by the ordered pair (0, 12).
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help me find an answer?
Answers
Answer:
The solution is (-2, 0).
A cross section is taken from a sphere.Which of the following is true?
Answers
Option A is correct: the cross-section of a sphere must be a circle.
When a sphere is cut by a plane, the resulting cross-section will always be a circle, regardless of the orientation or angle of the cut. This is because all cross-sections of a sphere have the same shape and size as a great circle, which is a circle that passes through the center of the sphere and divides it into two equal halves.
Option B is not correct because an ellipse is not a possible cross-section of a sphere.
Option C is not correct because the cross-section of a sphere can only be a circle, not an ellipse.
Option D is not correct because a line is not a possible cross-section of a sphere. A line can only be a cross-section of a cylinder or a cone, but not a sphere.
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What are the equivalent fractions for the following number? Show all your work.
Answers
The equivalent value of the fraction is A = 533 / 99
Given data ,
To find equivalent fractions for the repeating decimal 5.38383838..., we can use the concept of converting a repeating decimal to a fraction.
Let's denote the repeating decimal as x: x = 5.38383838...
Step 1:
Multiply x by a power of 10 to eliminate the repeating part.
100x = 538.38383838...
Step 2:
Subtract x from the product obtained in Step 1 to eliminate the repeating part.
100x - x = 538.38383838... - 5.38383838...
99x = 533
Step 3:
Solve for x by dividing both sides by 99.
x = 533 / 99
Hence , the fraction is A = 533 / 99
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Find the surface area of
the prism.
The surface area isin.²
8 in.
15 in.
5 in.
Answers
Answer: A = 470 in²
Step-by-step explanation:
If the given prism is a rectangular prism, we can use the given formula to solve for the surface area of a rectangular prism.
A = 2((8 in)(15 in) + (5 in)(15 in) + (5 in)(8 in))
A = 2(120 in² + 75 in² + 40 in²)
A = 2(235 in²)
A = 470 in²
What is the value of x?
Answers
Answer:
Step-by-step explanation:
got the answer but said that it was wrong still?
Answers
Suppose y varies inversely with x, and y = 5 when x = 15. What is the value of y when x = 25 ?
Answers
The value of y is 3 when x = 25.
When two variables, x, and y, vary inversely, it means that as one variable increases, the other decreases in a proportional manner. In other words, their product is constant.
Mathematically, this relationship can be expressed as:
y = k/x
where k is the constant of proportionality.
To solve the problem, we are given that y = 5 when x = 15, which can be rewritten as:
5 = k/15
To find the value of y when x = 25, we need to first determine the value of k. We can do this by rearranging the equation above to solve for k:
k = 5 x 15 = 75
Now that we know the constant of proportionality, we can use it to find the value of y when x = 25:
y = k/x = 75/25 = 3
Therefore, when x = 25, y = 3. This means that as x increases from 15 to 25, y decreases from 5 to 3, in accordance with the inverse variation relationship between x and y.
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mang pedro walks off a patch of garden for tomatoes. he walks 14feet north 7 feet west and 15 feet straight back to where he started .what is the area of mang pedro's tomato patch
Answers
Answer:
49 [tex]ft^{2}[/tex]
Step-by-step explanation:
a = 1/2 (bh)
a = 1/2(7x14)
a = 49
Helping in the name of Jesus.
ASAP!!!!!!!!!! Euler's formula, V – E + F = 2 relates the number of vertices V, the number of edges E, and the number of faces F of a polyhedron. How many faces does a polyhedron with 5 vertices and 8 edges have?
A. 7
B. 6
C. 4
D. 5
(55 points to who gets it first)
Answers
Answer:
5
Step-by-step explanation:
v - e + f =2
5 - 8 + f = 2
f = 2 - 5 + 8
= 5
Substituting V = 5 and E = 8 into the formula gives:
5 - 8 + F = 2
Simplifying gives:
F = 5
Therefore, the polyhedron has 5 faces.
The answer is D.
Immediate help would be much appreciated.
Two parallel lines are cut by a transversal.
If the measure of 4 is 110 degrees, what is the measure of 5?
Answers
The measure of 5 is 110°.
Given, Lines n and p are parallel to each other and have transversal t.
To find: The value of angle 5.
Therefore, the sum of these angles will be 180
Angle 4 = angle 5
Now, they are alternate interior angles.
Therefore,
angle 5 = 110
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write the alhebraic expression for each graph
Answers
Answer:
[tex]y = 1- |x + 1| [/tex]
Find the area of the shaded region.
f(x)=x4-12x³ +48x², g(x) = 44x+105
340-
(-1,61)
(5,325)
co.
8
Q
Polestarp
Answers
Answer:
To find the area of the shaded region, we need to first find the x-coordinates of the points where the two functions intersect. We can set f(x) = g(x) and solve for x:
x^4 - 12x^3 + 48x^2 = 44x + 105
x^4 - 12x^3 + 48x^2 - 44x - 105 = 0
We can use a numerical method, such as the Newton-Raphson method, to approximate the roots of this equation. Using a graphing calculator or computer algebra system, we can find that the roots are approximately:
x = -1.932, x = 0.695, x = 4.149
Note that the root x = -1.932 is outside the given interval [3, 4], so we can ignore it.
The shaded region is bounded by the x-axis, the line y = 340, and the graphs of f(x) and g(x) between x = 3 and x = 4. To find the area of this region, we can integrate the difference between the two functions over this interval:
A = ∫3^4 [g(x) - f(x)] dx
A = ∫3^4 [44x + 105 - (x^4 - 12x^3 + 48x^2)] dx
A = ∫3^4 [-x^4 + 12x^3 - 48x^2 + 44x + 105] dx
We can integrate term by term using the power rule:
A = [-x^5/5 + 3x^4 - 16x^3 + 22x^2 + 105x]3^4
A = [-1024/5 + 192 - 192 + 22 + 105] - [-81/5 + 108 - 192 + 66 + 105]
A = 347.2
Therefore, the area of the shaded region is approximately 347.2 square units.
19. What is the tangent of ?
5√/11
11
O 5√11
O 6√11
√11
5
Answers
Hello,
tan = opposite/ adjacent
[tex]tan0 = \frac{5}{\sqrt{11} } = \frac{5\sqrt{11} }{11}[/tex]
it's the first answer
The hypotenuse of a right triangle is 10 units, and one of the acute angles is 40°. To the nearest tenth, what are the lengths of the legs?
Answers
The lengths of the legs are 7.7 units and 6.4 units
How to determine the valueTo determine the lengths of the legs of the triangle, we have that;
We need to know the different trigonometric identities. These identities are expressed as;
sinecosinetangentcotangentsecantcosecantFrom the information given, we have that;
Using the sine identity;
sin θ = opposite/hypotenuse
Substitute the values
sin 40 = x/10
cross multiply the values, we get;
x = 6. 4 units
Using the cosine identity;
cos 40 = y/10
y = 7. 7 units
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The length of the other two legs are 6.4 and 7.6
What is trigonometric ratio?The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.
Sin(tetha) = opp/hyp
cos(tetha) = adj/hyp
tan(tetha) = opp/adj
Since the hypotenuse is 10, we are going to find the other legs of the right triangle using the trig functions.
sin40 = opp/hyp
0.643 = opp/10
opp = 0.643 × 10
opp = 6.4
Cos 40 = adj/hyp
0.766 = adj/10
adj = 0.766 × 10
adj = 7.6
Therefore the length of other two legs are 6.4 and 7.6
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URGENT
A box contains 18 large marbles and 16 small marbles. Each marble is either green or white. 7 of the large marbles are green, and 7 of the small marbles are white. If a marble is randomly selected from the box, what is the probability that it is large or green? Express your answer as a fraction or a decimal number rounded to four decimal places.
Answers
Answer:
p(large or green) = 0.794
Step-by-step explanation:
A box contains 18 large marbles and 16 small marblesEach marble is either green or white7 of the large marbles are green, and 7 of the small marbles are whiteIf a marble is randomly selected from the box, we need to find the
probability that it is small or green
1. Find P(large) ⇒ P(l)
2.Find P(green) ⇒ P(g)
3. Find P(large and green) ⇒ P(l and g)
4. Use the rule P(large or green) = P(l) + P(g) - P(l and g)
∵ The box contains 18 large marbles and 16 small marbles
∴ The total number of marbles = 18 + 16 = 34
∴ P(l) = 18/34
∵ There are 7 large green marbles
∵ There are 18 large marbles
∴ P(l and g) = 7/34
7 large green marbles9 small green marblesnumber of green marbles = 7+9 = 16∴ P(g) = 16/34
∵ P(large or green) = P(l) + P(g) - P(l and g)
∴ P(large or green) = 18/34 + 16/34 - 7/34
∴ P(large or green) = 27/34
= 0.7941176471
If a marble is randomly selected from the box, then the probability that it is large or green is 0.794
Brenda sells balloon bouquets. She charges the same price for each balloon in a bouquet. The costs for several bouquets are shown in the table. Write an equation that relates the cost of a bouquet to the number of balloons in the bouquet.
Answers
The equation that relates the cost of a bouquet to the number of balloons in the bouquet is: Y = 5.75x
The bouquet with 6 balloons, and the cost per balloon is:
34.50 / 6 = 5.75
We can repeat this process for each bouquet to get:
6 balloons: cost per balloon = 5.75
9 balloons: cost per balloon = 3.83
12 balloons: cost per balloon = 3.04
we can write an equation of the form: Y = kx
where Y is the cost of a bouquet,
x is the number of balloons in the bouquet, and
k is a constant that represents the cost per balloon.
To solve for k, we can use any one of the bouquets to get:
34.50 = k(6)
Solving for k, we get:
k = 5.75
Therefore, the equation that relates the cost of a bouquet to the number of balloons in the bouquet is:
Y = 5.75x
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Complete question:
Brenda sells balloon bouquets. She charges the same price for each
balloon in a bouquet. The costs for several bouquets are shown in the
table. Write an equation that relates the cost of a bouquet to the number
of balloons in the bouquet.
Number of balloons,
(x= # of balloons)
6
9
12
(Y=cost)
3
4.50
6
Qasim spots an airplane on radar that is currently approaching in a straight line, and that will fly directly overhead. The plane maintains a constant altitude of 7200 feet. Qasim initially measures an angle of elevation of 16 ∘ ∘ to the plane at point � A. At some later time, he measures an angle of elevation of 38 ∘ ∘ to the plane at point � B. Find the distance the plane traveled from point � A to point � B. Round your answer to the nearest foot if necessary.
Answers
The plane traveled approximately 15,806 feet from point A to point B.
How to solve for the distancetan(angle) = opposite side / adjacent side
Let x be the horizontal distance from Qasim to point A and y be the horizontal distance from Qasim to point B. Then:
tan(16°) = 7200 / x
tan(38°) = 7200 / y
We can solve for x and y:
x = 7200 / tan(16°)
y = 7200 / tan(38°)
Now, we can calculate x and y:
x ≈ 7200 / 0.2878
= 25016.6 feet
y = 7200 / 0.7813
= 9210.7 feet
Finally, to find the distance the plane traveled from point A to point B, we take the difference between y and x:
distance = y - x
= 9210.7 - 25016.6
= -15805.9 feet
we take the absolute value:
distance = 15806 feet (rounded to the nearest foot)
approximately 15,806 feet from point A to point B.
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help please Find the base angles of the figure below.
A) 130°
B) 65°
C) 25°
D) 50°
Answers
Answer:
c
Step-by-step explanation:
The two angles on the bottom are equal.
All 3 angles equal 180 degrees.
We know one angle is 130.
The other two are 180-130= 50 combined.
Since those angles are equal, divide by two.
50/2= 25 degrees each.
