Answer:
48.3
Step-by-step explanation:
→ See what side is not given
Opposite
→ Find a triangle with out an O in it
Cos = Adjacent / Hypotenuse
→ Make what you want to find the subject
Hypotenuse = Adjacent / Cos
→ Substitute the numbers into the formula
41 / cos (32) = 48.3
help finding the area
Answer:
42 yds(squared)
Step-by-step explanation:
The big chunk is 5 tall (2+3) and 6 wide=30 yds and the smaller part is 4 long and 3 tall=12 yds so 12+30=42
Mr.santino needs a total of 406 forks for his restaurant . he curently has 278 forks. if each set has 12 forks, what is the minimum number of sets of forks he should buy.
Answer:
11 forks
Step-by-step explanation:
406 -278 =128
128 divided by 12 = 10.66666668
Any you would round that to 11
The knitting club sold 40 scarves and hats at a winter festival and made $700 from
the sales. They charged $18 for each scarf and $14 for each hat.
If s represents the number of scarves sold and h represents the number of hats
sold, which system of equations represents the constraints in this situation?
I need how many hats and scarves were sold not the solution
Answer:
56576765465-5655676756+
75y5yg57+u5u57576574874+
65764784667+857647984765+
589578575975
Describe two examples of algebra skills that you have previously learned in which one or more actions reverses the initial action. For example, subtraction reverses addition
Examples of algebra skills with reversal actions: Addition and subtraction, Multiplication and division
In algebra, the concept of inverse operations is important in solving equations. Two examples of algebra skills that involve inverse operations are addition and subtraction, and multiplication and division. Addition and subtraction are inverse operations because adding a number and then subtracting the same number results in the original value. Similarly, multiplication and division are inverse operations because multiplying a number and then dividing by the same number results in the original value. Inverse operations are useful in solving equations because they allow us to isolate a variable by undoing the operations that were performed on it.
Learn more about the inverse operations here: brainly.com/question/26204160
#SPJ4
Can you solve this? I need help. I don't understand.
Answer:
2 sqrt(5) OR 4.5
Step-by-step explanation:
You have to know Pythagorean theorem to solve this question.
a^2 + b^2 = c^2
To use this theorem you have to have a right triangle. There are two right triangles in your image. The lower (larger) one has two sides labeled, so you can use Pythagorean thm to find the third side. There's a short cut, bc some right triangles have easy-to-memorize lengths of the sides. 3-4-5 is one of these number sets. A multiple of this is 6-8-10. We could've solved:
b^2 + 8^2 = 10^2
But it would've come out the same. The unlabeled side is 6.
We can use the 6 and the 4 on the smaller right triangle and use the Pythagorean thm again to solve for x.
4^2 + x^2 = 6^2
16 + x^2 = 36 subtract 16 from both sides.
x^2 = 20
Take the square root of both sides.
sqrt (x^2) = sqrt 20
x = 2 sqrt(5) which is approximately 4.472.
2 sqrt(5) is an exact answer if that is what they are asking for. 4.472 is an approximation to the nearest thousandth. It would be 4.47 to the nearest hundredth or 4.5 to the nearest tenth.
Find the Surface area of the trapezoid
please help
show work
Answer:
259.5
Step-by-step explanation:
8.1*12=97.2
Area of trapiezium = 1/2(b+a)h
(2.8+8.1)=10.9
10.9*3/2=16.35
16.35*2=32.7
2.8*12=33.6
33.6+32.7+97.2=163.5
4*12*2=96
163.5+96=259.5
Pls pray for me of this is the last one-
Which graph represents y = StartRoot x EndRoot?
Answer:
b
Step-by-step explanation:
e2021
Answer:
Which graph represents y = \(\sqrt{x}\)
Step-by-step explanation:
Answer B Edge 2022
Solve the initial boundary value problem ut = 2uxx for x ∈ (-π, π], t ∈ [0, + [infinity]), ux(0, t) = ux,(1,t) = 0, for t ∈ [0, + [infinity]), u(x,0) = π^2 – π^2 for r ∈ [ -π, π]
The solution to the initial boundary value problem is u(x,t) = 1/π.
To solve the initial boundary value problem ut = 2uxx for x ∈ (-π, π], t ∈ [0, + [infinity]), ux(0, t) = ux,(1,t) = 0, for t ∈ [0, + [infinity]), u(x,0) = π^2 – π^2 for r ∈ [ -π, π], we can use the method of separation of variables.
Assume u(x,t) = X(x)T(t), then we have:
X''(x) + λX(x) = 0, T'(t) + 2λT(t) = 0
where λ is a separation constant. The general solution for the spatial equation is X(x) = A sin(nx) + B cos(nx), where n = sqrt(λ) and A, B are constants. Since u(0,t) = u(1,t) = 0, we have A = 0 and B cos(nπ) = 0, which implies n = kπ for k = 1, 2, 3, ... Thus, the spatial eigenfunctions are X_k(x) = cos(kπx), and the corresponding eigenvalues are λ_k = -(kπ)^2.
The time equation can be solved as T(t) = Ce^(-2λ_k t), where C is a constant. Therefore, the general solution for the initial boundary value problem is:
u(x,t) = Σ C_k cos(kπx) e^(-2(kπ)^2 t)
where the sum is taken over all k = 1, 2, 3, .... To determine the constants C_k, we use the initial condition u(x,0) = π^2 – π^2 = 0. This gives:
Σ C_k cos(kπx) = 0
Since the eigenfunctions form an orthogonal set on [-π, π], we can multiply both sides by cos(mπx) and integrate over [-π, π] to obtain:
C_m = 0 for m = 1, 2, 3, ...
Thus, the only non-zero constant is C_0, which can be determined using the normalization condition:
1 = ∫_(-π)^π (u(x,t))^2 dx = C_0^2 π^2
Therefore, C_0 = 1/π. Thus, the solution to the initial boundary value problem is:
u(x,t) = (1/π) cos(0πx) e^(-2(0π)^2 t) = 1/π e^0 = 1/π
In conclusion, the solution to the initial boundary value problem is u(x,t) = 1/π.
Learn more about boundary value problems: https://brainly.com/question/31497895
#SPJ11
Work out, giving your answer in its simplest form:
4/7 divided by 2 1 / 3
Step-by-step explanation:
4/7÷21/3
=4/7*3/21
=12/147
Answer:
\(\frac{12}{49}\)
Step-by-step explanation:
Given
\(\frac{4}{7}\) ÷ 2 \(\frac{1}{3}\) ← change mixed number to improper fraction
= \(\frac{4}{7}\) ÷ \(\frac{7}{3}\)
To perform the division
Leave the first fraction. change division to multiplication and turn the second fraction upside down.
= \(\frac{4}{7}\) × \(\frac{3}{7}\) ← multiply numerators/ denominators together
= \(\frac{4(3)}{7(7)}\)
= \(\frac{12}{49}\)
can you pls help me, i need it
according to the topic
5000+1400+1700+2200-5000×80%+1200
=55300-4000+1200
=$52500
Thus we choose option B
B.$52,500
workout 2 1/4 divide by 3/5
Answer:
The answer would be 45/12 or 15/4. In decimal form, it would be 3.75.
Step-by-step explanation:
A small city park is in the shape of a right triangle with an area of 294 yd². The shortest side of the park (one
of the legs) is 21 yds. The city council would like to add a path along the longest side of the park (the
hypotenuse). How long would the path be? Show your work. Don’t forget to label your answer. See page
Answer:
To solve this problem, we can use the Pythagorean theorem, which states that for any right triangle with legs of length a and b and hypotenuse of length c, a² + b² = c².
We are given that one of the legs has a length of 21 yds, and the area of the park is 294 yd². We can use the area formula for a right triangle to find the length of the other leg:
area = 1/2 * base * height
294 = 1/2 * 21 * height
294 = 10.5 * height
height = 28
So the other leg has a length of 28 yds. Now we can use the Pythagorean theorem to find the length of the hypotenuse:
c² = a² + b²
c² = 21² + 28²
c² = 441 + 784
c² = 1225
c = √1225
c = 35
Therefore, the length of the path along the longest side of the park would be 35 yds
Linda uses the simple interest formula to calculate the interest fee on her recent loan. Her interest rate is 5%.What value will Linda use for r, interest rate, in her calculation?
Since the interest rate is 5%. She needs to express the percentage as a decimal.
In order to do it, she needs to divide 5 by 100, so:
\(\frac{5}{100}=0.05\)Answer:
r = 0.05
let f(x)=∫x1sin(t)tdt. find the indicated derivative.
The function F(x) has a derivative f'(x) = sin(x) - xcos (x). This is accomplished by employing the chain rule and the basic calculus theorem.
The calculus fundamental theorem can be used to derive the derivative of f(x).
Let x1sin(t)dt equal F(x). The fundamental theorem of calculus states that F'(x) = sin (x).
Let g(x) now equal x. The chain rule then states that f'(x) = g' (x) F'(x)= g'(x)sin(x)=cos (x).
Therefore, f'(x) = sin(x) - xcos is the derivative of f(x) (x).
F(x) has a derivative f'(x) = sin(x) - xcos (x). Applying the chain rule and the calculus's fundamental theorem will get this result. The integrand assessed at the integral's upper limit is equivalent to the derivative of a definite integral, according to the calculus fundamental theorem. According to the chain rule, the derivative of a function made up of two functions is equal to the sum of the derivatives of the inner and outer functions. The inner function in this instance is sin(t), while the outer function is x. Thus, by using the chain rule and the fundamental theorem of calculus, we can determine that f'(x) = sin(x) - xcos (x)
Learn more about function here
https://brainly.com/question/29633660
#SPJ4
solution for 3/4x - 12 = -18?
Answer:
x = -8
Step-by-step explanation:
Add 12 on both sides
You get 3/4x = -6
Multiply 4/3 on both sides
You get x = -24/3
Simplify and you get -8.
Answer:
x=-8
Step-by-step explanation:
The reason why x is -8 is because
The first step is to isolate the x
To isolate the x you got to add 12 to both sides
\(\frac{3}{4}\)x-12+12=-18+12
the -12 gets canceled out by the positive twelve so all thats left now is
\(\frac{3}{4}\)x=-18+12,-18+12 is -6 so its \(\frac{3}{4}\)x=-6
The second step is to divide
now you have to divide by \(\frac{3}{4}\) on both sides
\(\frac{\frac{3}{4} x}{\frac{3}4} } =\frac{-6}{\frac{3}{4} }\)
which \(\frac{3}{4}\) is taken out on the left side because its divided by itself so all thats left is a one,while on the right side -6 divided by three-fourths is -8
what digit is in the
hello
we are requested to perform a basic arithmetic of 51 * 37
we can easily solve this by using the multiplication operator in our calculator or following through the basic method manually.
\(51\times37=1887\)the answer to this question is 1887
PLSSS HELPPP no linkss plsss im begging
Answer:
Step-by-step explanation:
If we do not assume that the histogram is bell-shaped, at least what percentage of the sample values will be between 55 and 1092 At least (Choose one) of the sample values fall between 55 and 109. Save For Later Skip Part Check
The percentage of values between 55 and 109 is determined by the Chebyshev's Theorem.
What does Chebyshev’s Theorem state?When the distribution is not normal, Chebyshev's Theorem is used. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.At least 89% of the measures are within 3 standard deviations of the mean.An in general terms, the percentage of measures within k standard deviations of the mean is given by \(100\left(1 - \frac{1}{k^{2}}\right)\).Hence we must obtain within how many standard deviations the measures are from the mean, and then apply the theorem.
Missing InformationThe problem is incomplete, hence the procedure to solve the problem is presented.
More can be learned about Chebyshev's Theorem at https://brainly.com/question/2927197
#SPJ1
I neeeddddd helppppp!!!! It’s urgentttttt
Answer:
R theta 1 = 20 x
R theta 2 = 11 x - 6
R ( theta 1 + theta 2) = 31 x - 6 adding equations
R pi = 31 x - 6 since theta 1 + theta 2 = 180 deg
x = (R pi + 6) / 31
This equation depends only R
If one lets R be one then x = (pi + 6) / 31
This would give x = .29489 rad for the value of pi is deg
The numerical value of x appears to depend on the value of R
A batch of bottles were packed in 25 boxes with 12 bottles in each box. If the same batch is packed using 20 bottles in each box, how many boxes would be filled?
hey ,
here is your answer,
_______________
Let the number of boxes filled, by using 20 bottles in each box, be x.
The following table is obtained.
______________________
| Number of bottles. 12. 20 |
| |
| Number of boxes 25. x. |
---------------------------------------------
More the number of bottles, lesser will be the number of boxes.
Hence, the number of bottles and the number of boxes required to pack these are inversely proportional to each other.
Therefore,
12 × 25 = 20× x
Hence, the number of boxes required to pack these bottles is 15.
Answer:
The answer is 15 Box.
No of bottles = 25 boxes × 12 bottles
= 300 bottles
So there were total 300 bottles in a box.
Now If 20 bottles are filled ina box then
no. of box required = 300/20
And answer is 15 boxes
Will mark brainliest please help
Answer:
What is 6? We need more information.
Leon has already run 1 mile on his own, and he expects to run 3 miles during each track practice. Write an equation that shows the relationship between the practices p and the distance d.
Answer:
d = 1 + 3p
Step-by-step explanation:
Leon already ran 1 miles on his own and he is expected to cover a distance d of 3 miles during each practice. The number of practices is expressed as p and the distance covered is expressed as d.
For every track practice he is expected to cover a distance of 3 miles. Recall he has already cover 1 mile on his own.
Therefore, the relationship between the practices p and the distance d can be expressed as follows.
number of track practice = p
distance covered = d
The distance covered d in miles is 1 miles plus the number of track practice p multiply by 3
d = 1 + 3p
The test to detect the presence of strep throat is 98% accurate for a person who has the disease and 97% accurate for a person who does not have the disease. If 3. 5% of the people in a given population actually have strep throat, what is the probability that a randomly chosen person tests positive? A. 0. 0343 B. 0. 035 C. 0. 06325 D. 0. 2895.
Using the given percentages, it is found that the probability that a randomly chosen person tests positive is:
C. 0. 06325
Th percentage associated with a positive test are:
98% of 3.5%(person has the disease).3% of 96.5%(person does not have the disease).Hence:
\(p = 0.98(0.035) + 0.03(0.965) = 0.06325\)
Thus, option C is correct.
You can learn more about the use of percentanges and probabilities at https://brainly.com/question/25553471
I need to know 502 divided by 70 for thi aignment. It i important and critical for me to get good grade
Answer:
7.171428571
Step-by-step explanation:
<3
Solve x + 2x = 12
x = .............................
Solve 2y – 1 = 13
y = .............................
2. Solve 4x 3 = 13
x = ……………
show steps please
Answer:
4
7
4 or 2.5
Step-by-step explanation:
x+2x=3x
12/3=4=x
13+1=14
14/2=7=y
13+/-3=16/10
16/4=4
10/4= 2.5
this one depends wether 3 is negative or positive
What is the sample space for a spinner with four equal sections, numbered 1 to 4?
1, 2, 3, 4
4-1. 4-2. 4-3. 4-4
1-1,1-2, 1-3, 1-4
1, 2, 3, 4, 5
Answer:
the answer is 1-1, 1-2, 1-3, 1-4
Step-by-step explanation:
Claim: Fewer than 93% of adults have a cell phone. In a reputable poll of 1232 adults, 87% said that they have a cell phone. Find the value of the test statistic. Question content area bottom
The value of the test statistic is -8.2542.
We have,
p'= 0.87, p= 0.93 and n= 1232
We know, the equation for the Test statistic for a population proportion is mathematically given as
z = (p' - p)/ √p(1-p)/ n
So, z= (0.87 - 0.93)/ √0.93(1-0.93)/ 1232
z = (-0.06) / 0.007269
z = -8.2542
So, the value of the test statistic is -8.2542.
Learn more about Confidence interval here:
brainly.com/question/17097944
#SPJ1
5. Which of the following transformations maps Figure A onto Figure B?
A) Translate Figure A 3 units right, and then reflect it across the x-axis.
B) Reflect Figure A across the x-axis, and then translate it 3 units left.
C) Reflect Figure A across the y-axis, and then translate it 3 units right.
D) Translate Figure A 3 units right and 2 units down.
-7654321
2
Figure A
123456
Figure B
Answer:
A)
Step-by-step explanation:
just look at the picture.
what must have happened to figure A to turn into figure B ?
is B more to the right or to the left of A ?
well, right. isn't it obvious ?
and when you look at the coordinates of a vertex, it is 3 units to the right of A.
and if the shift to the right had not happened - the 2 figures would be a mirrored image of each other with the x-axis being the mirror.
that is why A) is the right answer.
Denise is designing the seating arrangement for a concert an outdoor theater. to give everyone a good view, each row must have 6 more seats than the row before it, and the 1st row can only have 11 seats. help denise plan the rest of the seating by solving for how many seats are in row 18. then explain to denise how to create an equation to predict the number of seats in any row. show your work, and use complete sentences.
The number of the seat in the 18th row will be 113.
What is the arithmetic sequence?Let a₁ be the first term and d is the common difference between the terms. Then the nth term will be given as
\(\rm a_n = a_1 + (n - 1)d\)
Denise is designing the seating arrangement for a concert, an outdoor theater.
To give everyone a good view, each row must have 6 more seats than the row before it, and the 1st row can only have 11 seats.
Then Denise plans the rest of the seating by solving for how many seats are in row 18.
Then the number of the seat in the 18th row will be given as
a₁ = 11
d = 6
n = 18
Then we have
a₁₈ = 11 + (18 – 1) x 6
a₁₈ = 11 + 17 × 6
a₁₈ = 11 + 102
a₁₈ = 113
More about the arithmetic sequence link is given below.
https://brainly.com/question/15412619
#SPJ1