Answer:
x = 17
Step-by-step explanation:
Hello There!
We can solve for x using trigonometry
We are given two angles and 1 side length
lets use angle 28
We can find x using cosine
\(cos=\frac{adjacent}{hypotenuse}\)
All we have to do is plug in the given or known information
we know the the adjacent of 28 is 15 and we are looking for x
so we can solve for x using this equation (let x = hypotenuse)
\(cos28=\frac{15}{x}\)
step 1 divide each side by 15
15/cos28
15x/15=x
we're left with
\(x=\frac{15}{cos28} \\\\\frac{15}{cos28} =16.98855076\\so\\x=16.98855076\)
our final step would be to round to the nearest tenth
x = 17
Answer:
i think X =31.7Step-by-step explanation:
\sqrt{(28^2 + 15^2} =31.7
ion kno tho
sqrt=square root
b) The ratio 3:5 can be written in the form 1:n
Choose n from the following.
a 5/3
b 1/5
c 3/5
d 1/3
Answer:
Answer: a 5/3
Step-by-step explanation:
Ratios as Fractions
The ratio 3:5 can be expressed as the fraction
\(\frac{3}{5}\)
If we wanted to express the ratio in the form 1:n, we can manipulate the fraction in such a way that it has the number 1 in the numerator.
Dividing numerator and denominator by 3:
\(\displaystyle \frac{\frac{3}{3}}{\frac{5}{3}}\)
Simplifying:
\(\displaystyle \frac{1}{\frac{5}{3}}\)
Thus, the fraction represents the ratio:
\(1:(\frac{5}{3})\)
\(Thus, n=\frac{5}{3}\)
Answer: a 5/3
Question 2: Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually. She plans to withdraw the money when she retires in 30
years.
a) Determine the value of the investment when she retires. Show your
work.
I
b) Calculate the rate of return [note:] over the 30 years. Show your work.
the value of the investment when she retires is $26434.92.
What is the compound interest?Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
here, we have,
given that,
Leilamade a one-time investment of $12 000.00 in a
registered retirement savings plan (RRSP) at 2.65%, compounded
semi-annually.
She plans to withdraw the money when she retires in 30
years.
So, she get finally is,
using the formula we get,
$26434.92
hence, the value of the investment when she retires is $26434.92.
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For which of the following equations is x = -4 a solution?
What is the perimeter of the figure shown below which is not drawn to scale
The perimeter of a figure is found adding the length of all its sides.
In this case, the perimeter is:
P = (x + 6) + (3x - 2) + (x- 3) + (x+ 2) + (x) + (x + 5)
P = (x +3x + x +x + x + x) + (6 - 2 -3 +2 + 5)
P = 8x + 8
ill give you brainliest!!
Find the area of the following
parallelogram:
5 cm
8 cm
7.5 cm
A= [?] cm?
Enter the exact answer as a decimal.
Answer:
the answer to your question is 37.5
Fill in the table of value for the equation y = 2x + 1
Answer:
To fill in the table of values for the equation y = 2x + 1, we can choose different values of x and substitute them into the equation to find the corresponding values of y. For example:
x y
0 1
1 3
2 5
3 7
4 9
To get the value of y, we substitute each value of x into the equation and simplify:
When x = 0:
y = 2(0) + 1 = 1
When x = 1:
y = 2(1) + 1 = 3
When x = 2:
y = 2(2) + 1 = 5
When x = 3:
y = 2(3) + 1 = 7
When x = 4:
y = 2(4) + 1 = 9
Therefore, the table of values for the equation y = 2x + 1 is:
x y
0 1
1 3
2 5
3 7
4 9
The height of the great pyramid of Egypt, is 32 and the base is a square of side 29m.
find the volume of the pyramid.
A) 8970.67
B) 8330.66
C) 3083.67
Answer:
B) 8330.66
Step-by-step explanation:
the current in the electronic circuit in the mobile phone was 0.12a the potential difference across the battery was 3.9V. calculate the resistance of the electronic circuit in the mobile phone
Answer:
Step-by-step explanation:
V = 3.9V
I = 0.12A
Ohm's Law, V = IR
Rearranging Ohm's Law, R = V/I
R = 3.9/0.12 = 32.5Ω
please help if your good at geometry. find a
Answer:
a = 1.8 to the nearest tenth.
Step-by-step explanation:
Remark
I don't think this case is ambiguous. It has only 1 solution, I think.
Step One
Find the top angle.
All triangles have 180 degrees.
15 + 105 + x = 180
120 + x = 180 Subtract 120 from both sides
x = 180 - 120
x = 60
Step Two: Find a
a/sin(60) = 2/Sin(105) Multiply both sides by sin(60)
a = 2 * Sin(60) / sin(105)
a = 2 * .8660 / 0.9659
a = 1.793
HELP ME PLEASE!!! I HAVE CLASS TODAY AND THIS IS DUE!!!! WORTH 30 POINTS!!!! WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!!!!
VIEW ATTACHMENT BELOW:
The four rectangles can be painted with 7 different paints in 840 ways.
What is permutation?A permutation is an arrangement of objects in a definite order. The members or elements of sets are arranged here in a sequence or linear order. For example, the permutation of set A={1,6} is 2, such as {1,6}, {6,1}, there are no other ways to arrange the elements of set A.
The formula for permutattion is;
\(P_r_n = \frac{n!}{(n-r)!} \\\)
where r = 4
n = 7
Substituting the values for n and r
\(P = \frac{7!}{(7-4)!}\)
\(P = \frac{7!}{3!}\)
P = 840 ways.
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Which function is best represented by the graph?
Answer:This would be option letter C
Step-by-step explanation:The diagram is a gram of external geofram so the position Is fFX(4) ^N
Answer:
D
Step-by-step explanation:
f(x)= -x^2+4
Draw graph of -x^2 and shift it 4 units above
cual es el mayor comun divisor de 24 , 60 ??????
Answer:
12 es el factor común más grande
Step-by-step explanation:
What is a in this question
The value of the segment a for the similar triangles is equal to 6.
How to calculate for a for the similar trianglesThe triangles MNO and YXO are similar, this implies that the length OX of the smaller triangle is similar to the length ON of the larger triangle
and the length OY of the smaller triangle is similar to the length OM of the larger triangle
so;
a/(a + 18) = 4/(4 + 12)
16a = 4(a + 18) {cross multiplication}
16a = 4a + 72
16a - 4a = 72 {collect like terms}
12a = 72
a = 72/12 {divide through by 12}
a = 6.
Therefore, the value of the segment a for the similar triangles is equal to 6.
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What is the domain of the function f(x)=√x?
Answer:
Interval: [0,∞), solution: x≥0.
Answer:
Domain: (0,+∞)
Step-by-step explanation:
negative numbers cannot have a square root taken unless your working with imaginary numbers.
Q13 A gardener needs to buy compost to fill this tub.
The diagram shows the dimensions of the tub
0.5m (height)
0.25 m (width)
1.8m (length)
They buy compost in 50 litre bags.
1000 litres = 1m'
How many bags of compost must they buy?
Answer:
5 bags
Step-by-step explanation:
The volume of the tub is the product of its dimensions:
V = (1.8 m)(0.5 m)(0.25 m) = 0.225 m³
There are 1000 L in 1 m³, so this volume in liters is ...
(0.225 m³)(1000 L/m³) = 225 L
At 50 L per bag, the gardener needs ...
(225 L)/(50 L/bag) = 4.5 bags
The gardener probably cannot purchase a partial bag, so must buy more than is needed.
The gardener must buy 5 bags of compost to fill the tub.
What is the vertical shift for the following transformed tan function? Input the numerical answer.
Answer:
3
Step-by-step explanation:
This is the graph of y = tan(x) shifted 3 units up.
The graph shown is of tan function where the vertical shift is of 2 units.
The graph of a tan function is shown we have to determine the vertical shift to the graph. As we know that tanx function has its inflection point at the origin, as the graph is already translated we can see that the inflection point of the graph is at x = -π/12. The corresponding value of y is 2
Equation of the given function is given by:
f(x) = tan(x+π/12)+2
Where -π/12 shows the horizontal shift while +2 shows the vertical shift.
Therefore, the required vertical shift is +2 units.
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A merry-go-round has a circular platform with a radius of 1 yard. What is the platform's area? Use 3.14 for pie
Answer:
3.14 yds
Step-by-step explanation:
How many triangles can be constructed with side lengths of 9.6 cm, 11.6 cm, and 21.2 cm?
0
1
more than one
NEED DIS ANSWER NOW PLZZZ
Answer: A) 0 triangles
============================================================
Explanation:
Adding up the two smaller sides gets us 9.6+11.6 = 21.2, but this result is not larger than the third side of 21.2
For a triangle to be possible, we need to be able to add any two sides and have the sum be larger than the third remaining side. This is the triangle inequality theorem.
I recommend you cutting out slips of paper with these side lengths and trying it out yourself. You'll find that a triangle cannot be formed. The 9.6 cm and the 11.6 cm sides will combine to form a straight line that is 21.2 cm, but a triangle won't form.
As another example of a triangle that can't be formed is a triangle with sides of 3 cm, 5 cm, and 8 cm. The 3 and 5 cm sides add to 3+5 = 8 cm, but this does not exceed the third side. The best we can do is form a straight line but that's not a triangle.
In short, zero triangles can be formed with the given side lengths of 9.6 cm, 11.6 cm, and 21.2 cm
The grade distribution for a course is listed in the following table. If a student is randomly selected fro mly selected from this class, what is the probability that they received an A, B, or C? A B C D F 40 40 33 20 14
Answer:
the probability that a randomly selected student received an A, B, or C is approximately 0.769, or about 76.9%.
Step-by-step explanation:
To find the probability that a randomly selected student received an A, B, or C, we need to add up the number of students who received each of these grades and divide by the total number of students in the class.
The total number of students in the class is:
total = A + B + C + D + E = 40 + 40 + 33 + 20 + 14 = 147
The number of students who received an A, B, or C is:
A + B + C = 40 + 40 + 33 = 113
Therefore, the probability that a randomly selected student received an A, B, or C is:
P(A or B or C) = (A + B + C) / total = 113 / 147 ≈ 0.769
So the probability that a randomly selected student received an A, B, or C is approximately 0.769, or about 76.9%.
1. Find the missing length. Round to the
nearest tenth
Please help
Answer:
5.7
Step-by-step explanation:
a^2+b^2=c^2
Help me please!!!!!!!!
Answer:
The ratios are not equal, so this is not a dilation.
Step-by-step explanation:
4/3 is the first ratio
3/4 is the second ratio
Since these ratios are not equal there is not a dilation.
It took sara mother 6 hours to drive to the university and bring Sarah back home for spring break
Answer:
6 hours
Step-by-step explanation:
If it took Sara's mother six hours to do that, it took six hours.
Question provided in attachment.
We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour.
How to calculate the valueSample Mean: = (29 + 27 + 34 + 40 + 22 + 28 + 14 + 35 + 26 + 35 + 12 + 30 + 23 + 18 + 11 + 22 + 23 + 33) / 18
= 480 / 18
≈ 26.667
Sample Standard Deviation (s):
= ✓((Σ(29 - 26.667)² + (27 - 26.667)² + ... + (33 - 26.667)²) / (18 - 1))
≈ ✓(319.778 / 17)
≈ ✓(18.81)
≈ 4.336
Confidence level = 99%
Sample Size (n) = 18
Sample Mean = 26.667
Sample Standard Deviation (s) = 4.336
Degrees of Freedom (df) = n - 1 = 18 - 1 = 17
Using a t-table or statistical software, we find that the critical value for a 99% confidence level with 17 degrees of freedom is approximately 2.898.
Margin of Error (E) = 2.898 * (4.336 / ✓18))
≈ 3.748
Confidence Interval = (26.667 - 3.748, 26.667 + 3.748)
= (22.919, 30.415)
We can be 99% confident that the true mean healing rate of newts falls within the interval of 22.919 to 30.415 micrometers per hour. This means that if we were to repeat the study multiple times and construct confidence intervals, approximately 99% of those intervals would contain the true mean healing rate of the population.
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If a Jackie flips a coin 50 times and it lands on tails 22, what is the experimental probability of a coin landing on heads?
Answer:
28
Step-by-step explanation:
50-22=28
Plot the point (−312, 434) on the coordinate plane.
The graph of the point is on the image at the end.
How to plot the point on a coordinate plane?A coordinate plane has two axes, one is horizontal and the other is vertical.
A general point (x, y) has the value "x" in the horizontal axis and "y" in the vertical one, then to graph (-312, 434 ) in a coordinate plane, you need to find -312 in the horizontal axis and 434 in the vertical one.
The graph of the point is on the image at the end.
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How do you model a decimal using a fraction?
Answer:
The only reason I can’t type it right now it’s cause I’m doing something important so I’m so sorry if I hade to type this out but I’m a bit busy right now And I’m trying to answer as much questions as possible. Thank you
Step-by-step explanation:
Hope this helps you
Write down the decimal in fractions with the denominator 1.
We multiply the denominator and numerator by 10 for every number after the decimal point.
Simplify the fraction if needed.
Enter an equation in point-slope form for the line.
(8,9) and (9,4) is on the line.
Porfa ayuda alguien que responda
The diameter of the Milky Way is 2 x 10²⁰ meters. The radius of Earth is 6.37 x 10⁶meters. About how many times as great is the diameter of the Milky Way than the radius of Earth? The diameter of the Milky Way is about
Answers: 4.37 X 10¹⁴
3.1 X 10¹⁴
4.37 X 10¹³
3.1 X 10¹³
(blank) times as great as the radius of Earth.
Answer:
3.1 x \(10^{13}\)
Step-by-step explanation:
\(\frac{2x10^{20} }{6.37x10^{6} }\)
3/6.37 is about .31
When you are dividing with powers, you subtract the exponents
20 - 6 = 14
.31 x \(10^{14}\) This is not in scientific notation because .31 is less than 1
3.1 x \(10^{-1}\)x\(10^{14}\) When we multiply powers with the same base we add the exponents
3.1 x \(10^{13}\)
Find the amount in a continuously compounded account for the following condition.
Principal, $2000; Annual interest rate, 5.4%; time, 4 years
The balance after 4 years is what?
(Round the final answer to the nearest cent as needed. Round all intermediate values to five decimal places as needed.)
The balance in the continually compounded account after four years is roughly $ \(2,517.45.\)
What is the annual interest rate?To properly comprehend the precise interest rate being offered on any loan or investment, it is crucial to carefully analyse the terms and circumstances.
The formula for continuously compounded interest is:
\(A = P * e^(rt)\)
where A is the final amount, P is the principal, r is the annual interest rate, t is the time in years, and e is the mathematical constant approximately equal to 2.71828.
Substituting the given values, we have:
\(A = 2000 * e^(0.054 * 4)\)
Using a calculator, we get:
\(A ≈ $2,517.46\)
Rounding this to the nearest cent, we get:
\(A ≈ $2,517.45\)
Therefore, the balance after 4 years in the continuously compounded account is approximately $ \(2,517.45.\)
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