Answers
Answer:
(a) 3.8
Step-by-step explanation:
The Law of Sines can be used to find a missing side length in a triangle where the angles are known and at least one side is given. It tells you the ratio of side lengths is equal to the ratio of the sines of their opposite angles. In effect, longer sides are opposite larger angles.
__
compare anglesThe given side length (DE=3) is opposite given angle F=50°. The unknown side length EF is opposite larger angle D=75°.
compare sidesSince the unknown side is opposite a larger angle than the other angle given, the length of the unknown side will be longer than the side given.
EF > DE
EF > 3
Only one answer choice satisfies this inequality.
EF = 3.8
__
Additional comment
If you want to do the actual computation, we have ...
EF/sin(D) = DE/sin(F)
EF = DE·sin(D)/sin(F) = 3·sin(75°)/sin(50°) ≈ 3.7828
EF ≈ 3.8
Related Questions
If P(x)=6+9x−5x^2 represents the profit in selling x thousand Boombotix speakers, how many speakers should be sold to maximize profit?
Answers
The number of speakers that should be sold to maximize profit is 0.9
Vertex of a quadratic equationGiven the function that represents the profit made in selling x thousand Boombotix speakers expressed as:
P(x)=6+9x−5x^2
In order to maximize the profit, p'(x) = 0, hence;
P'(x) =9 - 10x
0 = 9 - 10x
x = 9/10
Hence the number of speakers that should be sold to maximize profit is 0.9
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If the assessment rate is 46% and the tax rate is $37.84 per $1,000 of assessed value, the property tax on a house with a market value of $170,000 is
Answers
The property tax on a house with a market value of $170,000 is $2,959.09.
What is property tax?Property tax is a tax levied on the assessed value of property owned by an individual or a corporation.
Data and Calculations:Assessment rate = 46%
Tax rate = $37.84 per $1,000
Market value of house = $170,000
Assessed value = $78,200 ($170,000 x 46%)
Property tax = $2,959.09 ($78,200 x $37.84/$1,000)
Thus, the property tax on a house with a market value of $170,000 is $2,959.09.
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C. If f(4x+5)=12x+18 then find f¹(x).
Answers
If f¹ is supposed to say f⁻¹ : rewrite f(4x + 5) as an "obvious" function of 4x + 5, then replace 4x + 5 with x. By "obvious", I mean make it clear how 4x + 5 is the argument to f.
[tex]f(4x+5) = 12x+18 = 3 (4x + 6) = 3 (4x + 5 + 1) = 3 (4x + 5) + 3[/tex]
Then swapping out 4x + 5 for x gives
[tex]f(x) = 3x + 3[/tex]
The inverse of f(x), if it exists, is a function f⁻¹(x) such that
[tex]f\left(f^{-1}(x)\right) = x[/tex]
Evaluate f at f⁻¹ and solve for f⁻¹ :
[tex]f\left(f^{-1}(x)\right) = 3 f^{-1}(x) + 3 = x \implies \boxed{f^{-1}(x) = \dfrac{x-3}3}[/tex]
If f¹ instead means f' (as in the first derivative of f) : earlier we found f(x) = 3x + 3, and differentiating this is trivial.
[tex]f(x) = 3x+3 \implies f'(x) = 3[/tex]
The perimeter of a rectangle is 50 inches. Its width
measures 11 inches. What is its length?
Let x = the length of the rectangle. Choose the equation that represents this
problem.
A. 2x + 22 = 50
B. 2x + 11 = 50
C. x + 11 = 50
D. 2x11 = 50 * don’t try and be funny I need help bad*
Answers
Answer:
50-20 or perimeter-2length
Step-by-step explanation:
15 inches is the width
Select the correct answer.
A charity's outreach program is working to provide food and medicine to the people affected by a hurricane. The members drive in a truck from their headquarters at A, as shown in the image, to the locations B, C, D, E, F, G, and H and then go back to their office. What is the total length of their drive?
A.
20 units
B.
30 units
C.
40 units
D.
50 units
Answers
The formula for density is given by p equals startfraction m over v endfraction, where p is density, m is mass and v is volume. if a substance has a mass of 27.82 grams and a volume of 3.6 ml, what is the most accurate density of the substance in g/ml? 7.7 7.7278 7.73 0.1
Answers
Answer:
it is 7.73
Step-by-step explanation:
Get smarter
Do subtraction
Answer:
The Answer is 7.73
Step-by-step explanation:
do some basic math lol
factor completely 4a^3b^5-18a^2b^3+8a^3b^3
Answers
The factored expression of the expression 4a^3b^5 - 18a^2b^3 + 8a^3b^3 is 2a^2b^3(2ab^3 - 9 + 4a)
How to factor the expression?The expression is give as:
4a^3b^5 - 18a^2b^3 + 8a^3b^3
Factor out 2
2(2a^3b^5 - 9a^2b^3 + 4a^3b^3)
Factor out a^2b^3
2a^2b^3(2ab^3 - 9 + 4a)
Hence, the factored expression of the expression 4a^3b^5 - 18a^2b^3 + 8a^3b^3 is 2a^2b^3(2ab^3 - 9 + 4a)
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Daniel used the formula to find the area of the following special trapezoid. His work is shown. Identify his error and correct it to find the area of the special trapezoid.
Answers
Daniel made an error in line 3. He wrongly divided the sum of sides and height. The area of the trapezoid is 42 cm².
What is the area of the trapezoid?A trapezoid is a convex quadrilateral. A trapezoid has at least on pair of parallel sides.
Area of a trapezoid = 1/2 x (sum of the lengths of the parallel sides) x height
Line 1: A = 1/2 x (6) + (7 + 7) Line 2: A = 1/2 (6) (14) Line 3 : 3 x 14 Line 4 : A = 42 cm²To learn more about trapezoids, please check: https://brainly.com/question/25748893
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elect the correct answer. graph A graph B graph C graph D A credit card company uses these rules to calculate the minimum amount owed: For a bill of less than $100, the entire amount is due. For a bill of at least $100 but less than $500, the minimum due is $100. For a bill of at least $500 but less than $1,000, the minimum due is $300. For a bill of $1,000 or more, the minimum due is $500. Which graph shows the minimum amount due for a credit amount of x (given that the credit limit is $2,000). A. graph A B. graph B C. graph C D. graph D
Answers
The graph that correctly shows the minimum amount due for a credit amount (x) is graph B.
How to determine the graph with the minimum amount due?First of all, we would assign a variable to the different amount of money as follows:
Let x be the credit amount.Let y be the minimum amount due.Translating the word problem into an algebraic expression, we have;
For a bill of less than $100, the entire amount is due:
0 ≤ x < $100, therefore, y = x
For a bill of at least $100 but less than $500, the minimum due is $100: $100 ≤ x < $500, therefore, y = 100
For a bill of at least $500 but less than $1,000, the minimum due is $300:
$500 ≤ x < $1000, therefore, y = $300
For a bill of $1,000 or more, the minimum due is $500:
Since the credit limit is equal to $2000, we have $1000 ≤ x < $2000 and y = $500
In conclusion, the graph that correctly shows the minimum amount due for a credit amount (x) is graph B.
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Identify the errors made in finding the inverse of
y = x2 + 12x.
An image shows a student's work. Line 1 is x = y squared + 12 x. Line 2 is y squared = x minus 12 x. Line 3 is y squared = negative 11 x. Line 4 is y = StartRoot negative 11 x EndRoot, for x greater-than-or-equal 0.
Describe the three errors.
Answers
The errors made by the student are:
The variables y and x are not properly swappedThe square root should include the ± signThe domain of the function is incorrectHow to identify the errors?The equation is given as:
[tex]y = x^2 + 12x[/tex]
The first step of the student is given as:
[tex]x = y^2 + 12x[/tex]
This is incorrect because the variables x and y must be completely swapped.
So, the actual step is [tex]x = y^2 + 12y[/tex]
The second step is given as:
[tex]y^2 = x - 12x[/tex]
The third step is given as:
[tex]y^2 = - 11x[/tex]
The last step is given as:
[tex]y = \sqrt{-11x}[/tex] for [tex]x \ge 0[/tex]
This is incorrect because [tex]y = \sqrt{-11x}[/tex] would have complex solution for [tex]x \ge 0[/tex] and the square root needs to have a ±
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The thousand islands are located along the border between new york and canada. the adventure club wants to place a stone marker on 684 of the islands. the club has 36 members. if every club member goes to the same number of islands, how many islands will each member have to visit? a. 720 islands b. 648 islands c. 19 islands d. 24,624 islands
Answers
Using proportions, it is found that the number of islands that each member will have to visit is given by:
c. 19 islands.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, there are 684 islands, and 36 members, hence the number of islands per member is given by:
n = 684/36 = 19.
Which means that option c is correct.
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Is the function f(x) = 1 /x− 1 continuous at x = 1? Explain.
Answers
Faarax Mohammed shirwa search
Answer:
no
Step-by-step explanation:
f(x) = [tex]\frac{1}{x-1}[/tex]
at x = 1
f(1) = [tex]\frac{1}{1-1}[/tex] = [tex]\frac{1}{0}[/tex]
division by zero is undefined, thus there is a discontinuity at x = 1
so f(x) is not continuous at x = 1
Write a quadratic function with zeroes 6 and 7
Answers
Answer:
f(x) = x² - 13x + 42
Step-by-step explanation:
given zeros are x = 6 and x = 7 then the corresponding factors are
(x - 6) and (x - 7)
the quadratic function is then the product of the factors , that is
f(x) = (x - 6)(x - 7) ← expand using FOIL
= x² - 13x + 42
A bag of paper clips contains:
. 9 pink paper clips
• 7 yellow paper clips
• 5 green paper clips
• 4 blue paper clips
A random paper clip is drawn from the bag and replaced 50 times. What is a
reasonable prediction for the number of times a yellow paper clip will be
drawn?
Answers
Answer:
14 times
Step-by-step explanation: add all colors up for total which is 25
since 7 out of the 25 total paper clips are yellow you would have a 7/25 chance of getting yellow after 1 pick.
since you pick and replace 50 times do (7/25) X 50 which gives you 14 times yellow will be drawn.
Step-by-step explanation: add all colors
up for total which is 25
since 7 out of the 25 total paper clips are
yellow you would have a 7/25 chance of
getting yellow after 1 pick.
since you pick and replace 50 times do
(7/25) × 50 which gives you 14 times
yellow will be drawn.
You buy 100 file folders for 7.72. how much are you paying for each file folder?
Answers
Each folder would cost 0.0772.
What is Rate?Rate is used to express the change in a quantity with respect to a standard quantity.
Analysis:
If 100 file folders cost 7.72, then each folder will cost 7.72/100 = 0.0772
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Answer: 0.8 or whatever has 8 last since i forgot sorry!, but it was correct for me!
Step-by-step explanation:
I dont know if its right for you but its right for me
Whats 2 plus 0 bc I can't figure it out ......
Answers
Answer:
this is the hardest one yet gee
Step-by-step explanation:
2 + O = 2
the ratio of the measures of the three angles in a triangle is 9:3:6.
find the measures of the largest angle.
Answers
Step-by-step explanation:
this is how you solve it :)
someone help me please
Answers
The height of the aquarium is h = 18 3/4 yd
Volume of a rectangular boxThe formula for calculating the volume of a rectangular box is expressed as
V = lwh
where
l is the length
w is the width
h is the height
Substitute
350 = 20/3 * 14/5 * h
350 = 280/15h
35 = 28/15h
28h = 35 * 15
28h = 525
h = 525/28
h = 18 3/4 yd
Hence the height of the aquarium is h = 18 3/4 yd
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Students working at a refreshment stand mixed cranberry juice at $0.50 per liter and apple juice at $0.35 per liter to make 120 L of a fruit drink worth $0.40 per liter. How many liters of each did they mix?
Answers
Answer:
40 L cranberry juice; 80 L apple juice
Step-by-step explanation:
Let x = number of liters of cranberry juice.
The total volume is 120 L, so the volume of apple juice is
120 - x.
The value of the cranberry juice is 0.5x.
The value of the apple juice is 0.35(120 - x).
The value of the mixture is 0.4(120) = 48
The value of the cranberry juice plus the value of the apple juice equals the value of the mixture.
0.5x + 0.35(120 - x) = 48
0.5x + 42 - 0.35x = 48
0.15x = 6
x = 6/0.15
x = 40
120 - x = 120 - 40 = 80
Answer: 40 L cranberry juice; 80 L apple juice
The measures of the angles of △ABC are given by the expressions in the table.
Angle Measure
A 48°
B (6x−28)°
C (2x)°
Find the value of x. Then find the measures of angles B and C.
Enter your answers in the boxes.
x =
m∠B=
º
m∠C=
º
Answers
Answer:
x = 20 ∠B = 92° ∠C = 40°
Step-by-step explanation:
The sum of angles of a triangle is 180°.
48 +(6x -28) +2x = 180
8x +20 = 180
8x = 160
x = 20
∠B = (6x -28)° = (6*20 -28)° = 92°
∠C = 2x° = 40°
Answer
X= 20
m<B = 92°
m <C = 40°
Step-by-step explanation:
The sum of angles in a triangle = 180°
So, 48 + 6x-28 +2x = 180
8x+20= 180
8x = 160
So x= 160/8 = 20
Substitute x in the equations:
m<B= 6×20-28= 92°
m<C = 2×20 = 40°
Please help will give brainlist and 30 points
Answers
Answer:
1156
Area = base times height
Area = (36-1-1) times (45-10-1)
=1156
Please help!!! will mark brainliest!!!!!!
Answers
The compound interest will be equal to $13.57.
What is compound interest?The interest on a loan or deposit that accrues on both the initial principal and the accumulated interest from prior periods is known as compound interest.
The compound interest will be calculated by:-
[tex]CI = P(1+\dfrac{r}{12})^{12t}-P[/tex]
[tex]CI = 250(1+\dfrac{0.053}{12})^{12}-250[/tex]
CI = $13.57
Therefore the compound interest will be equal to $13.57.
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PLEASE HELP URGENTLY! RIGHT ANSWERS ONLY!
Answers
Answer:
Hi! The answer is B!
I would suggest using a graphing calculator to compare all the lines. You can use this free one called Desmos, sorry i was not able to attach a link :)
please answer this question!
Answers
pls answer, will mark brainliest
Answers
Answer:5200-0.0005x=2800+0.0003x
Step-by-step explanation: Ignore the supply and demand stuff. Just focus on what value of x will make the two equations equal, which is all the question is asking.
5200-0.0005x=2800+0.0003x
solve for x
This is now a very simple one variable equation, try to solve this yourself and message me if you still need help.
A basketball trophy is 1.5 feet tall and casts a 2 foot shadow.
if a basketball hoop casts a 16 foot shadow, how tall is the hoop
Answers
Answer:
12 feet
Step-by-step explanation:
Given that the trophy is 1.5 feet tall which casts a 2 feet shadow and the basketball hoop casts a 16 feet shadow, we can identify the height of the basketball hoop by doing (16÷2)×1.5= 12 feet
Hope this helps with your work
HELP PLEASE HURRY!!
g(x)
3
f(x) = 4x + 5
-32
#12
Which function has the greatest y-intercept?
3/
h(x)=3 sin(2x + 1)-2
Answers
I’m pretty sure
John and Elijah are both driving from New York City to Richmond. John leaves
at 7:20 and averages 60 mph (miles per hour) on the way. Elijah leaves at 7:30
and averages 62 mph on the way. The situation is modeled by this system,
where x is the number of hours after Elijah leaves and y is the distance each
will travel.
y = 60x+10
y = 62x
How long after Elijah leaves will he pass John, and how far will they each
have traveled?
OA. Elijah will pass John after 4 hours, and they each will have traveled
248 miles.
OB. Elijah will not pass John, because he will never catch up with him.
C. Elijah will pass John after 5 hours, and they each will have traveled
310 miles.
D. Elijah will pass John after 2 hours, and they each will have traveled
128 miles.
2
5-
Answers
Elijah will pass John after 5 hours, and they each will have traveled 310 miles. Then the correct option is C.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
Speed = Distance/Time
John and Elijah are both driving from New York City to Richmond.
John leaves at 7:20 and averages 60 mph (miles per hour) on the way.
Elijah leaves at 7:30 and averages 62 mph on the way.
The situation is modeled by this system, where x is the number of hours after Elijah leaves and y is the distance each will travel.
y = 60x + 10 ...1
y = 62x ...2
The time is taken by Elijah to cross John will be
62x = 60x + 10
2x = 10
x = 5 hours
The distance traveled in 5 hours will be
y = 62 (5)
y = 310 miles
Elijah will pass John after 5 hours, and they each will have traveled 310 miles.
Then the correct option is C.
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Answer:
c
Step-by-step explanation:
i took the quiz
y is inversely proportional to x when x =3, y = 8 work out the value of y when x = 8
Answers
y is inversely proportional to x: yx = k, such k is constant
Did you know?
Inversely proportional is also known as inverse variation.Given:
x = 3y = 8To determine the constant of variation, substitute the first two given values to the equation of variation.
yx = k(8)(3) = k24 = kTo determine the value of y, substitute the second given value of x including the constant of variation.
x = 8, y = ?yx = 248y = 24y = 24/8y = 3Answer:
The value of y is 3.Wxndy~~
If x and y are adjacent angles, then x and y are ______ acute.
answer choices - always, sometimes, or never.
Answers
Answer:
sometimes
Step-by-step explanation:
adjacent angles are two angles that share a vertex, common side/ray between them, and do not overlap.
only supplementary adjacent angles always add up to 180 degrees,
both x or y could be any angle, as long as they're sharing a common side and vertex.