Find the missing side of each triangle. Round your answers to the nearest tenth if necessary.
Answers
The value of the missing sides are x = 10 and y = 5√3. Option C
How to determine the sides
Note that the different trigonometric identities are represented as;
secantcosecanttangentcotangentcosinesineThese trigonometric identities also have their ratios which are expressed as;
sin θ = opposite/hypotenuse
tan θ = opposite/adjacent
cos θ = adjacent/hypotenuse
From the information given, we have that;
tan 60 = y/5
Find the values
y = √3 (5)
Then, y= 5√3
Thus,
sin 60 = 5√3/x
cross multiply
x = 5√3 ÷ √3/2
Multiply the values
x = 10
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Related Questions
solve the system
y=3x^2+3x-5
2x-y=3
Answers
x=-.8 so y=4.6
2. solve for x:
2x=3+y
x=3+y/2
solve for y
-y=3-2x
y=-3+2x
y=2x-3
my teacher would like you to solve this using fraction ex:(345/x=727/2355) (just a heads up!!) please help :)
Answers
Answer:
84
Step-by-step explanation: (edited)
52% problems are pointless i.e. 48% are NOT pointless.
Recall that 1% = 1/100.
Therefore 48% = 48/100 = 12/25.
Let x be the number of problems that are not pointless.
x/175 = 12/25
x = 84
Answer:
84
Step-by-step explanation:
According to the question
175×48%
175×48/100
7×48/4
7×12
84
2x³+4x²+2x=0
how would i solve this by using the quadratic formula
Answers
Answer:
Step-by-step explanation:
the quadratic formula is
-b+-sqrtb^2-4ac
a=2 b=4 c=2
so then you would substitute your variables into the formula
here's an example
The radius of a circle is 10 in. Find its circumference in terms of � π.
Answers
Answer:
20π [in].
Step-by-step explanation:
1. formula is:
C=π*2r;
2. the circumference according to the formula is:
C=π*10*2=20π.
Management at a home improvement store randomly selected 95 customers and observed their shopping habits.They recorded the number of items each of the customers purchased as well as the total time the customers spent in the store. Identify the types of variables recorded by the managers of the home improvement store.
a. number of items-discrete: total time-discrete
b. number of items-continuous; total time-discrete
c. number of items-continuous; total time-continuous
d. number of items-discrete; total time-continuous
Answers
Answer:
d. number of items-discrete; total time-continuous
Step-by-step explanation:
Continuous:
Real numbers, can be integer, decimal, etc.
Discrete:
Only integer(countable values). So can be 0,1,2...
In this question:
You can purchase 0, 1, 2,...,10,...,100,... items, so the number of items is discrete.
You can spend for example, 0.5 hours in the store, or 2.5 minutes, that is, can be decimal numbers. So the total time is continuous
The correct answer is:
d. number of items-discrete; total time-continuous
Given the drawing as shown below and that pllq. Which of the following cannot be supported by the evidence shown? Worth 10 points
Answers
The relation that can not be supported by the evidence in the image is option B
What happens when a transversal cuts a parallel line?
Corresponding angles are those that are located on the same side of the transversal and in identical relative positions to the parallel lines. Angles that correspond to one another have the same measure.
Alternate interior angles are those that are located on the transverse and within the area between the parallel lines, respectively. Congruent alternate interior angles exist.
Alternate external angles are those that are outside of the space between the parallel lines and on the opposing sides of the transversal. Congruent external angles exist between the two.
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I need help with this math question. Thanks! Which of the following is a solution of 4x + 2y < 6 A. (5, 7) B. (0, 4) C. (1, 0) D. (1, 0)
Answers
Answer:
C., D. (they are the same point)
Step-by-step explanation:
4x + 2y < 6
A. (5, 7)
4(5) + 2(7) = 20 + 14 = 34
34 > 6, so A. is not an answer.
B. (0, 4)
4(0) + 2(4) = 0 + 8 = 8
8 > 6, so B. is not an answer
C. (1, 0)
4(1) + 2(0) = 4 + 0 = 5
4 < 6 is true, so C. is an answer.
D. (1, 0)
Why is D. the same as C.?
Suppose 7x-5 M=- 3 x-8 and NE 2 2 x - 5 x - 50 X - 14 x +40 and you want to add the fractions M and N, in other words you want to compute 7x-5 3 x - 8 2 x - 5 x - 50 x - 14 x + 40 and simplify the result. We know that, before you can add the fractions, you must find a common denominator and rewrite each fraction so it has that common denominator. Once the rewritten fractions have the same denominator, you can add them and simplify the result.
There are four text boxes below. In the first text box, enter a common denominator for the two fractions. In the second text box, rewrite M so that it possesses the common denominator you found. Note that your entry in this text box should equal M, however it should have the common denominator you found. In the third text box, rewrite N so that it possesses the common denominator you found. In the last text box, compute your simplified answer for M N . Make sure that your answer is simplified; the numerator and denominator of your answer for M N should not have common factors. Note that your entry for the common denominator should be a polynomial with integer coefficients. Your other three entries should be fractions that contain polynomials. All of your answers should contain no letters other than the variables that appear in M and N. Do not include an equals sign with any of your answers. All of your expressions should be mathematically correct and not contain non-mathematical symbols. After entering your answers, click the Save Answer button. Your computer will display how your answers were interpreted, and you will have the opportunity to accept these answers or modify them.
Enter a common denominator for M and N here:
Enter M rewritten here:
Enter N rewritten here:
Enter your simplified result here:
Answers
Answer:
\((a)\) \(Denominator= (x - 10)(x+5)(x-4)\)
\((b)\) \(M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}\)
\((c)\) \(N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}\)
\((d)\) \(M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}\)
Step-by-step explanation:
Given
\(M = \frac{7x - 5}{x^2 -5x - 50}\)
\(N = \frac{3x - 8}{x^2 -14x+ 40}\)
Solving (a): A common denominator of M and N.
To do this, we simply get the LCM of both denominators
\(M = x^2 - 5x - 50\)
\(N = x^2 - 14x + 40\)
Factorize both:
\(M = (x - 10)(x + 5)\)
\(N = (x- 10)(x - 4)\)
The LCM is
\(LCM= (x - 10)(x+5)(x-4)\)
Hence, the common denominator is:
\(Denominator= (x - 10)(x+5)(x-4)\)
Solving (b): Rewrite M
\(M = \frac{7x - 5}{x^2 -5x - 50}\)
Factor the denominator:
\(M = \frac{7x - 5}{(x+5)(x - 10)}\)
The LCM calculated in (a) above is:
\(LCM= (x - 10)(x+5)(x-4)\)
So, we have to multiply the numerator and denominator of M by (x - 4)
The expression becomes:
\(M = \frac{7x - 5}{(x+5)(x - 10)} * \frac{x - 4}{x-4}\)
\(M = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)}\)
Solving (c): Rewrite N
\(N = \frac{3x - 8}{x^2 -14x+ 40}\)
Factor the denominator:
\(N = \frac{3x - 8}{(x-4)(x-10)}\)
The LCM calculated in (a) above is:
\(LCM= (x - 10)(x+5)(x-4)\)
So, we have to multiply the numerator and denominator of N by (x + 5)
The expression becomes:
\(N = \frac{3x - 8}{(x-4)(x-10)} * \frac{x + 5}{x + 5}\)
\(N = \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}\)
(d) Solve M + N
\(M + N = \frac{(7x - 5)(x-4)}{(x+5)(x - 10)(x-4)} + \frac{(3x - 8)(x + 5)}{(x-4)(x-10)(x + 5)}\)
Take LCM
\(M + N = \frac{(7x - 5)(x-4) + (3x - 8)(x + 5)}{(x+5)(x - 10)(x-4)}\)
Open brackets
\(M + N = \frac{7x^2 - 28x - 5x + 20 + 3x^2 + 15x - 8x - 40}{(x+5)(x - 10)(x-4)}\)
Collect Like Terms
\(M + N = \frac{7x^2 + 3x^2- 28x - 5x + 15x - 8x + 20 - 40}{(x+5)(x - 10)(x-4)}\)
\(M + N = \frac{10x^2-26x -20}{(x+5)(x - 10)(x-4)}\)
I need help on this question
Answers
Answer:
64
Step-by-step explanation:
30
—— + 72 simplify which is then 15/1 which is then 15+7^2 =64
2
Suppose the smoking habits of the parents are indepedent and the prob- ability that the mother is a current smoker is .4, where the probability that the father is a current smoker is .4, whereas the probability that the father a current smoker is .5. What is the probability that both the father and mother are current smokers?
Answers
The probability that both the father and mother are current smokers is 0.2 or 20%.
To find the probability that both the father and mother are current smokers, we need to find the joint probability. The joint probability is the probability of both events happening at the same time. In this case, the events are the father being a current smoker and the mother being a current smoker.
The probability that both the father and mother are current smokers can be found by multiplying the probabilities of each event.
P(father is a smoker) = 0.4
P(mother is a smoker) = 0.5
Therefore,
P(both father and mother are smokers) = P(father is a smoker) × P(mother is a smoker) = 0.4 × 0.5 = 0.2
So, the probability that both the father and mother are current smokers is 0.2 or 20%.
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Find a relationship between x and y so that (x, y) is equidistant from the two points (4, –1) and (6, 3).
Answers
4= x^1
-1= y^1
6= x^2
3= y^2
3 - (-1)/6-4
= 4/2
=2
The perimeter
particular rectangle is
36 centimeters. The longer sides of the rectangle are
cach 2 centimeters longer than each of the shorter sides
of the rectangle. What is the length, in centimeters, of
one of the longer sides of this rectangle"?
Answers
Answer:
Long side of the rectangle: 11cm
Shorter side of the rectangle: 7cm
Step-by-step explanation:
36cm divided by 4 = 9
9-2=7
take that two and add it to the other two nines
9+2=11
The required length of the longer sides of rectangle is 10cm.
The perimeter of the rectangle is 36 centimeters,
length = 2+ width
rectangle is four sided polygon whose opposites sides are equal and has angle of 90° between its sides.
Perimeter = 2 length x 2 width
36 = 2(2+width) x 2width
36= 4 (1+width)
width = 8
length= 2+width
length = 2+ 8
length = 10 centimeters
Thus, The required length of the longer sides of rectangle is 10cm.
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A piece of lumber 2.8 meters long weighs 24.5 kilograms. A piece 0.8 meter long is cut from
the 2.8-meter length. Determine the weight of the 0.8-meter piece.
Answers
The weight of the 0.8-meter piece is 19.6 kilograms.
We can use the ratio of length to weight to determine the weight of the 0.8-meter piece.
Let's call the weight of the 2.8-meter piece "W₁" and the weight of the 0.8-meter piece "W₂". Then we have:
W₁/2.8m = 24.5kg/1m
Solving for W₁, we get:
W₁ = (24.5kg/1m) x 2.8m = 68.6kg
Now we can use the same ratio to find W₂:
W₂/0.8m = 24.5kg/1m
Solving for W₂, we get:
W₂ = (24.5kg/1m) x 0.8m = 19.6kg
Therefore, the weight of the 0.8-meter piece is 19.6 kilograms.
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What is the answer for 2m+5=5m-35-3m
Answers
Answer:
No solution.
Step-by-step explanation:
The m's on both sides simplify to cancel out, leaving you with 5=－35, a false statement.
Answer:
No Solution
Step-by-step explanation:
We leave 2m +5 as it is because we can't combine any like terms on the left side. Over on the right side, we can combine 5m with -3m to get 2m -35. Now we have 2m+5 = 2m-35. We can subtract 2m on the left or right side which then gets us 5=-35 which is No solution. Hope this helps!
Each of the counting problems below can be solved with stars and bars. For each, say what outcome the diagram
∗∗∗|∗||∗∗|
represents, if there are the correct number of stars and bars for the problem. Otherwise, say why the diagram does not represent any outcome, and what a correct diagram would look like.
a.) How many ways are there to select a handful of 6 jellybeans from a jar that contains 5 different flavors?
b.) How many ways can you distribute 5 identical lollipops to 6 kids?
c.) How many 6-letter words can you make using the 5 vowels in alphabetical order?
d.) How many solutions are there to the equation. show bars and stars.
x1+x2+x3+x4=6.
Answers
How many air-conditioning units can Germany produce if it builds 2,000 railroad engines?
A.) about 160,000
B.) about 140,000
C.) about 120,000
D.) about 180,000
E.) about 100,000
Answers
PLEASE HELP ME WITH THIS!!!
Answers
Answer:
D
Step-by-step explanation:
To find A' B'...
The scale factor is 1/2 and the length of AB is 4
1/2 x 4 = 2 which is the new length
The angle is still 37 due to scale factors only change the distances between points, dilations do not change angles.
Hope this helps, Let me know if you have any questions !
which system of inequalities is shown
Answers
Answer:
B
Step-by-step explanation:
An investor wants to save money to purchase real estate. She buys an annuity with yearly payments that earn 5.3% interest compounded annually payments will be made at the end of each year find the total value of the annuity in 16 years if each yearly payment is 693.
Answers
The total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.
To calculate the total value of the annuity in 16 years, we can use the formula for the future value of an annuity:
FV = P * ((1 + r)^n - 1) / r
Where:
FV is the future value of the annuity,
P is the yearly payment,
r is the interest rate per compounding period, and
n is the number of compounding periods.
In this case, the yearly payment (P) is $693, the interest rate (r) is 5.3% or 0.053, and the number of compounding periods (n) is 16.
Let's substitute these values into the formula and calculate the total value of the annuity:
FV = 693 * ((1 + 0.053)^16 - 1) / 0.053
FV = 693 * (1.053^16 - 1) / 0.053
Using a calculator, we can evaluate the expression inside the parentheses:
1.053^16 ≈ 1.9738
Substituting this value back into the formula:
FV = 693 * (1.9738 - 1) / 0.053
FV = 693 * 0.9738 / 0.053
FV ≈ 12739.62
Therefore, the total value of the annuity in 16 years, with yearly payments of $693 and an interest rate of 5.3% compounded annually, is approximately $12,739.62.
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Two forces are acting on an object, one at 58 Newton's and the other at 83 Newton's.
The resulting force is 105 Newton's. What is the angle between the resulting force and
the larger of the two original forces?
Answers
Miss Lianto mowed 2 7 of her lawn. Her son mowed 1 3 of it. Who mowed most of the lawn? How much of the lawn still needs to be mowed?
HURRY!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
8/21 of the lawn still needs to be mowed.
To compare fractions, we need a common denominator. The least common multiple of 7 and 3 is 21.
Miss Lianto's fraction: (2/7) x (3/3) = 6/21
Son's fraction: (1/3) x (7/7) = 7/21
To calculate how much of the lawn still needs to be mowed, we can subtract the combined fractions mowed from the total:
Combined fractions mowed: 6/21 + 7/21 = 13/21
So, Remaining fraction: 1 - 13/21 = 8/21
Therefore, 8/21 of the lawn still needs to be mowed.
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0.00000124 as a power of 10
Answers
The scientific notation of the given number is 1.24×10⁻⁶.
The given number is 0.00000124.
Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.
Here, 0.00000124=1.24×10⁻⁶.
Therefore, the Scientific notation of the given number is 1.24×10⁻⁶.
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Bryan drew a triangle with vertices at (4,1), (1, 3), and (2,-3). He slides the triangle 3 units to the left to create an image. What are the vertices of the image?
Answers
Which graph represents a function?
Answers
Answer:
The fourth graph since it passes the vertical line test.
Each input has one output.
Hope this helps :)
Help pls :( I’ll mark you brainlist no links
Links= report
Answers
Answer:
x = 112, y = 68, z = 112
Step-by-step explanation:
y = 68
x = z = 180 - 68 = 112
Cole spent some time working on his history homework. Then he spent 5/12 hour working on his Spanish homework. Cole spent 1 hour on homework. What fraction of an hour did cole spend on history? Explain
Answers
we can write one hour like this:
\(1=\frac{12}{12}\)then, substrating 5/12, we get:
\(\frac{12}{12}-\frac{5}{12}=\frac{12-5}{12}=\frac{7}{12}\)therefore, the answer is 7/12 hour, because 12/12 - 5/12 = 7/12
In the graph, the area below f(x) is shaded and labeled A, the area below g(x) is shaded and labeled B, and the area where f(x) and g(x) have shading in common is labeled AB. Graph of two intersecting lines. The line f of x is solid and goes through the points 0, 4, and 4, 0 and is shaded below the line. The other line g of x is solid, and goes through the points 0, negative 1 and 2, 5 and is shaded below the line. The graph represents which system of inequalities? y ≤ −3x − 1 y ≤ −x − 4 y > −3x + 1 y ≤ −x − 4 y < 3x − 1 y ≤ −x + 4 y ≤ 3x − 1 y ≥ −x + 4
Answers
Answer:
y ≤ 3x − 1, y ≤ −x + 4
Step-by-step explanation:
The line f(x) is solid and goes through the points (0, 4) and (4, 0) and is shaded below the line.
The line that satisfies the point (0,4) and (4,0) is y=-x+4
Since it is shaded below the line, we have the inequality sign: \(\leq\)
Therefore, one of the lines is: \(y\leq -x+4\)
The line g(x) is solid and goes through the points (0, -1) and (2, 5) and is shaded below the line.
Slope, \(m=\frac{5-(-1)}{2-0}=3\)
When x=0, y=-1
y=mx+b
y=3x+b
-1=3(0)+b
b=-1
Therefore, the equation of the line is: \(y=3x-1\)
Since it is shaded below the line, we have the inequality sign: \(\leq\)
Therefore, the other line is: \(y\leq 3x-1\)
An inequality is a comparison between two expressions not based on equality
The graph represents the system of the inequalities; y ≤ 3·x - 1, y ≤ -x + 4
Reason:
The given parameters are;
Points on the line f(x) = (0, 4), (4, 0)
\(Slope \ of \ the \ line, \ m =\dfrac{4-0}{0-4} = -1\)
Therefore;
The equation of the line is y - 0 = -1·(x - 4), which gives;
y = -x + 4
The inequality representing the line is y ≤ -x + 4
Points on the line g(x) = (0, -1), (2, 5)
\(Slope \ of \ the \ line, \ m =\dfrac{-1-5}{0-2} = \dfrac{-6}{-3} =3\)
Equation of the line is y - (-1) = 3·(x - 0)
∴ y = 3·x - 1
The inequality is y ≤ 3·x - 1,
The graph which represent the system of inequalities are;
y ≤ 3·x - 1, y ≤ -x + 4
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The storage capability of computers has been doubling every 5 years since the first computers were invented in the 1960s. If the first computer could store .5 megabytes, about how many megabytes can today's computers store? How long did it take for computers to store 100 megabytes?
Answers
It takes time of near about 35 year.
Given that,
Storage capability of computers has been doubling every 5 years
The date of 1st computer made = 1980
computer could store 5 megabytes,
Now,
We can use the following calculation to determine how long it took computers to store 100 megabytes:
Therefore,
Log₂ (final amount / beginning amount)
= Log₂ (100 / 0.5)
= log₂ (200)
= 7.64 is the number of doublings.
If each doubling takes five years, then it would take computers just over seven doublings or almost 35 years to store 100 megabytes.
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Which one doesn’t belong? Why? Explain.
Answers
Answer:
THE M ONE
Step-by-step explanation:
IT HAS A DIFFERENT VARIABLE
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
h.
R(x) = kx – 2x^2 ; R(1/4)
R(-1/4)
find k.
Answers
Answer:
k=0
Step-by-step explanation:
R(x)=kx-2x²
R(1/4)=k(1/4)-2(1/4)²=k/4-1/8
R(-1/4)=k(-1/4)-2(-1/4)²=-k/4-1/8
R(1/4)=R(-1/4)
k/4-1/8=-k/4-1/8
k/4+k/4=1/8-1/8
2k/4=0
2k=0
k=0