Find c. Round to the nearest tenth: 2 cm 1050 c = [? ]cm Law of Sines: sin sin B b Enter
![Find C. Round To The Nearest Tenth: 2 Cm 1050 C = [? ]cm Law Of Sines: Sin Sin B B Enter](https://brainimage.s3.us-east-005.backblazeb2.com/contents/attachments/7uypz0GY4xLcliVEL66EkfpN2KVkWMhy.jpeg)
Answers
9514 1404 393
Answer:
0.5 cm
Step-by-step explanation:
I prefer to write the proportion so the unknown value is in the numerator.
c/sin(C) = b/sin(B)
c = b×sin(C)/sin(B) = (2 cm)×sin(15°)/sin(105°) ≈ 0.535898 cm
c ≈ 0.5 cm
_____
For those of you looking for 'a', that value is shown in the attachment.
![Find C. Round To The Nearest Tenth: 2 Cm 1050 C = [? ]cm Law Of Sines: Sin Sin B B Enter](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/Ruc3R1ji7zo1CRwBSPEvEIrmGDbOR7ob.png)
Related Questions
Determine if the specified linear transformation is (a) one-to-one and (b) onto. Justify your answer. T: , T()(,), T()(,), and T()(,), where , , are the columns of the 33 identity matrix. a. Is the linear transformation one-to-one? A. T is one-to-one because T(x)0 has only the trivial solution. B. T is not one-to-one because the columns of the standard matrix A are linearly independent. C. T is not one-to-one because the standard matrix A has a free variable. D. T is one-to-one because the column vectors are not scalar multiples of each other. b. Is the linear transformation onto? A. T is onto because the columns of the standard matrix A span . B. T is not onto because the columns of the standard matrix A span . C. T is onto because the standard matrix A does not have a pivot position for every row. D. T is not onto because the standard matrix A contains a row of zeros.
Answers
Answer:
C. T is not one-to-one because the standard matrix A has a free variable.
Step-by-step explanation:
Given
[tex]T(x_1,x_2,x_3) = (x_1-5x_2+4x_3,x_2 - 6x_3)[/tex]
Required
Determine if it is linear or onto
Represent the above as a matrix.
[tex]T(x_1,x_2,x_3) = \left[\begin{array}{ccc}1&-5&4\\0&1&-6\\0&0&0\end{array}\right] \left[\begin{array}{c}x_1&x_2&x_3\end{array}\right][/tex]
From the above matrix, we observe that the matrix does not have a pivot in every column.
This means that the column are not linearly independent, & it has a free variable and as such T is not one-on-one
ANSWER ASAP!! Use the substitution method to solve the system of equations. 3x+7y=1 and y=x-7
Answers
Answer:
x=5
y = -2
(5,-2)
Step-by-step explanation:
3x+7y=1 and y=x-7
Substitute the second equation in for y in the first equation
3x+7( x-7)=1
Distribute
3x+ 7x - 49 = 1
Combine like terms
10x - 49 =1
Add 49 to each side
10x-49+49 = 1+49
10x = 50
Divide by 10
10x/10 = 50/10
x = 5
Now find y
y = x-7
y = 5-7
y = -2
If the measure of angle 2 Is (4x+10)degrees and the measure of angle 3 is (3x-5)degrees, what is the measure of angle 2 in degrees?
Answers
Answer:
110°
Step-by-step explanation:
4x+10 + (3x-5) = 180
7x + 5 = 180
7x = 175
x = 25
∠2 = 4(25) + 10 = 110
The measure of angle 2 in degrees, when both lines are perpendicular, is approximately 58.56 degrees.
To find the measure of angle 2 when the lines are perpendicular, we can set up an equation. Since the angles are formed by perpendicular lines, we know that the sum of angle 2 and angle 3 will be equal to 90 degrees. Mathematically, we can write this as:
(4x + 10) + (3x - 5) = 90
Now, let's solve the equation to find the value of x. First, combine like terms:
4x + 3x + 10 - 5 = 90
7x + 5 = 90
Next, isolate x by subtracting 5 from both sides:
7x = 85
Finally, divide by 7 to solve for x:
x = 85 / 7 ≈ 12.14
Now that we have the value of x, we can find the measure of angle 2 by substituting x back into its expression:
Angle 2 = 4x + 10
Angle 2 = 4(12.14) + 10
Angle 2 ≈ 48.56 + 10
Angle 2 ≈ 58.56 degrees
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Elena receives $131 per year in simple interest from three investments totaling $3000. Part is invested at 3%, part at 4% and part at 5%. There is $1000 more invested at 5% than at 4%. Find the amount invested at each rate.
The amount invested at 3% is $___ the amount invested at 4% is $___ , and the amount invested at 5% is $___
Answers
Answer:
Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.
Step-by-step explanation:
Given that Elena receives $ 131 per year in simple interest from three investments totaling $ 3000, and part is invested at 3%, part at 4% and part at 5%, and there is $ 1000 more invested at 5% than at 4%, to find the amount invested at each rate, the following calculations must be performed:
1500 x 0.05 + 500 x 0.04 + 1000 x 0.03 = 75 + 20 + 30 = 125
1600 x 0.05 + 600 x 0.04 + 800 x 0.03 = 80 + 24 + 24 = 128
1700 x 0.05 + 700 x 0.04 + 600 x 0.03 = 85 + 28 + 18 = 131
Therefore, Elena invested $ 1,700 at 5%, $ 700 at 4%, and $ 600 at 3%.
Insurance companies need to maintain a certain amount in reserved funds in order to pay anticipated claims. The average monthly claim amount for the last 60 months for company A was $7,500,000 and the (sample) standard deviation was $1,200,000.
(a) Find a 95% upper confidence bound on the average monthly claim amount.
(b) The regulations on the reserves will be strengthened in the near future. According to the new regulations, insurance companies that do not have sufficient amount in reserve will be subject to a significant penalty. Company A wants to adjust the target reserve amount accordingly, by computing a new upper bound on the average monthly claim amount. Should the company recalculate an upper confidence bound with a higher or a lower level of confidence? Briefly explain why. Then compute a 99.95% upper confidence bound on the average monthly claim amount.
Answers
Answer:
a ) Upper bound of CI is 7803483.87
b) The new upper bound is 8039767.74
Step-by-step explanation:
From sample data:
sample size n = 60
sample mean x = 7500000
Sample standard deviation s = 1200000
a) Confidence Interval 95 % then significance level α = 5 % o α = 0.05
α/2 = 0.025 z(c) from z-table is z(c) = 1.96
CI 95 % = ( x ± z(c) * s/√n
CI 95 % = ( 7500000 ± 1.96 * 1200000/√60
CI 95 % = ( 7500000 ± 303483.87 )
CI 95 % = ( 7196516.13 ; 7803483.87)
Then upper bound of CI is 7803483.87
b) The company has to decrease the significance level equivalent to widen the confidence interval.
If CI now is 99.95 % significance level is α = 0.0005 and
α/2 = 0.00025 z(c) for that α/2 is from z-table z(c) ≈ 3.486
CI 99.95 % = ( x ± z(c)*s/√n
CI 99.95 % = 7500000 ± 3.486*1200000/ √60
CI 99.95 % = (7500000 ±539767.74)
CI 99.95 % = ( 6960232.26 ; 8039767.74)
The new upper bound is 8039767.74
please helppppp
i am v stuck
Answers
Answer:
Below
Step-by-step explanation:
First find the area of the triangle
A = bh/2
= (5)(10)/2
= 50/2
= 25 in^2
*the height of the triangle is 10 because we are disregarding the 3 inches as it is not a part of the triangle
You can now find the volume of the triangular part
V = area x height
= (25)(10)
= 250 in^3
Now find the volume of the rectangular part
V = LWH
= (10)(5)(3)
= 150 in^3
Add these two up to get the total volume
150+250 =400 in^3
I hope that is correct.... good luck!
Which of the following shows the correct first step to solve. x^2+12x=72
Answers
Answer:
The answer is C
Step-by-step explanation:
The first step to solve the equation is x² + 12x - 36 = 72 - 36. The correct option is A.
A quadratic equation is a polynomial equation of the second degree, where the highest power of the variable is 2.
Among the options you provided, the correct first step to solve the equation x² + 12x = 72 is:
x² + 12x - 36 = 72 - 36
By subtracting 36 from both sides of the equation, you can bring the constant term to the other side, simplifying the equation to:
x² + 12x - 36 = 0
Now you can proceed with solving the quadratic equation using factoring, completing the square, or the quadratic formula.
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kelly bought two dozen apples she found 1/3 of them were rotten how manu apples were rotten
Answers
the answer is 8 apples were rotten
Answer:
8 apples are rotten.
Step-by-step explanation:
2*12=24 . There are 12 apples in a dozen.
24/3=8
1;3;5;7…(determine the value of the 19th term of the sequence)
Answers
Answer:
37
Step-by-step explanation:
fistly find how much different
3-1=2 5-3=2 7-5=2
so for the next and next value just plus two until the 19th then you will get 37
=============================================================
Explanation:
a = 1 is the first term
d = 2 is the common difference, since we add 2 to each term to get the next term.
The nth term is a+d(n-1) which becomes 1+2(n-1). That simplifies to 2n-1
The last step is to plug in n = 19 and you should get 2(19)-1 = 37
Solve for X.
A. 10.96
B. 4.88
C. 0.04
D. 5.34
Answers
Answer:
4.88
Step-by-step explanation:
That may be the question
What is the slope of a line perpendicular to the line whose equation is x + 2y = 2. Fully simplify your answer.
Answers
9514 1404 393
Answer:
2
Step-by-step explanation:
We can solve for y to find the slope of the given line.
x +2y = 2
2y = -x +2 . . . . . subtract x
y = -1/2x +1 . . . . divide by the coefficient of y
The slope is the x-coefficient, -1/2.
Any perpendicular line will have a slope that is the opposite reciprocal of this:
-1/(-1/2) = 2
A perpendicular line will have a slope of 2.
For brainlest answer
Answers
Answer:
3..
Step-by-step explanation:
dont know the explanation sry i m beginner so .
Plz help me solve this algebra
Answers
Answer:
Step-by-step explanation:
[tex]16^{\frac{24}{64}} =16^{\frac{4*2*3}{4*2*8}}\\\\=(2^{4})^{\frac{3}{8}}\\\\=2^{4*\frac{3}{8}}\\\\=2^{\frac{3}{2}}=2^{3*\frac{1}{2}}\\\\=\sqrt{2*2*2}\\\\=2\sqrt{2}[/tex]
I need help plzzz
How can you construct the perpendicular bisector of segment RS by folding a piece of paper
Answers
9514 1404 393
Answer:
(c) fold it so R lies on top of S
Step-by-step explanation:
The crease will be the perpendicular bisector of RS when R and S are equidistant from it. That can be accomplished by folding the paper so points R and S lie on top of each other.
A mouse is trapped in a maze. To
find his way out, he walks 15 m,
makes a 90° left turn, walks 8 m,
makes another 90° left turn, and
walks 10 m. What is the magnitude
of the resultant vector?
Answers
Answer: Approximately 9.43 meters
The more accurate version is 9.4339811320566 but that's not exact.
This is exact magnitude is sqrt(89)
=======================================================
Explanation:
Let's draw an xy grid for this. Place the starting point at (0,0) which I'll call point A. Now let's say the mouse goes east 15 meters. That would move it to (15,0) which is marked as point B. Refer to the diagram below.
From point B, we move to C which is at (15,8). So the mouse has gone 8 meters north. It might help to turn the page so that the east direction is facing completely north, and then look to the left and you'll see "north". In other words, each 90 degree left turn is a 90 degree counterclockwise turn.
After doing another 90 degree counterclockwise turn, the mouse will move 10 meters westward. It moves from C(15,8) to D(5,8). Point D is the final position of the mouse.
-----------------------
A(0,0) was the initial position and D(5,8) is the final position
The vector v is
v = <5,8>
This is because we basically are saying "the mouse ultimately moved 5 meters east and 8 meters north" when going from start to finish. We're ignoring the intermediate stops along the way.
------------------------
Recall that for any vector of the form
v = <a,b>
the magnitude of that vector is
|v| = sqrt(a^2+b^2)
this is the length of the vector based on the pythagorean theorem.
Applying this formula gets us
|v| = sqrt(5^2+8^2)
|v| = sqrt(89)
|v| = 9.43398 approximate
This represents the straight line distance from start to finish, where we ignore any intermediate stops. So this isn't the distance the mouse travels (since it goes from A to B, to C to D). Instead, it's the distance it would travel if it wanted to take the shortest path from A to D.
Answer:
Step-by-step explanation:
9.4 for acellus
1. Decide whether the statement below is true or false. Then fully explain why. The triangle below can b used to help with your explanation if needed.
"The sine of any acute angle is equal to the cosine of its complementary angle."[help me plzz!!]
Answers
==================================
Work Shown:
sin(angle) = opposite/hypotenuse
sin(alpha) = MN/NP
sin(alpha) = y/z
---------
cos(angle) = adjacent/hypotenuse
cos(beta) = MN/NP
cos(beta) = y/z
----------
Both sin(alpha) and cos(beta) are equal to y/z, so that means sin(alpha) = cos(beta). This is true because alpha+beta = 90, ie the angles are complementary.
Similarly, you should find that sin(beta) and cos(alpha) are both equal to x/z, which is further proof that the statement is true.
Find the length of arc AC.
B
红
120°
10
A
С
Answers
Answer:
36.2
Step-by-step
Will Mark Brainlest Help pls
Answers
Answer:
13
HOPE THIS HELPS YOU......
which exponential equation is equivalent to the logarithmic equation below? log478=a
A. 478^10 = a
B. a^10 = 478
C. 478^a = 10
D. 10^a = 478
Answers
for which of the following equations (-4, -3 ) not a solution
A. 2y - 3x = 6
B. -3x = 4y
c. y = 1 + x
D. 5x + 2y = -26
Answers
For this you can just plug in, if it’s a true statement it’s a solution.
A. 2(-3)-3(-4)=6
-6+12= 6 that’s a solution.
B. -3(-4) = 4(-3) this is not a solution. 12 does not equal -12
C. -3= 1-4 that’s a solution.
D. 5(-4)+ 2(-3) =-26
-20 -6 = -26 that’s a solution.
Consider the following equation. -2x + 6 =[-2/3] + 5
Answers
Answer:
that's my answer
hope it helps
Choose all the points that would be acceptable points to choose to test for shading for −3(m+7)≥−24
Answers
Answer:
m≤1
Step-by-step explanation:
The given inequality is :
−3(m+7)≥−24
Dividing both sides by -3.
(m+7) ≤ 8
Subtract 7 from both sides,
(m+7)-7 ≤ 8-7
m≤1
Hence, this is the required solution.
)Which statement best describes the area of the triangle shown below?
A coordinate grid is shown with a triangle.. The base is 4 units, and the height is 4 units.
It is one-half the area of a rectangle of length 4 units and width 2 units.
It is one-half the area of a square of side length 4 units.
It is twice the area of a rectangle of length 4 units and width 2 units.
It is twice the area of a square of side length 4 units.
Answers
9514 1404 393
Answer:
(b) It is one-half the area of a square of side length 4 units.
Step-by-step explanation:
The triangle described can be formed by drawing the diagonal through a square 4 units on a side. Such a diagonal cuts the square cleanly in half, so the area of the triangle is half the area of the square.
Answer:
B
Step-by-step explanation:
Hope you have a nice day! :o)
What is the MEDIAN or Q2 of the data set: 24, 25, 29, 30, 31, 31, 32, 34, 34?
Answers
Answer:
31
Step-by-step explanation:
Median = middle number in terms of value
Usually the first step is to list the numbers in order from least to greatest however the numbers are already listed in order from least to greatest
24, 25, 29, 30, 31, 31, 32, 34, 34
We the just go to the middle number
The middle number would be 31
So we can conclude that the median is 31
Can somone help me solve this
Answers
Answer:
solid shade above
Step-by-step explanation:
graph line same way you would if it was an equal sign
all the y's that are greater are above the line
its solid because is greater than OR equal to. Equal to includes the line itself as a set of solutions
Use the listing method to write the following set \ 1,2,3\; [0, 1, 2, 3] O (1, 2)
Answers
what is the largest six-digit base five number? How do you know?
Answers
Answer:
999999.9>repeating
Step-by-step explanation:
.1 more and it will be 7 digits and not 6 Hope this helps :D
9514 1404 393
Answer:
444444₅ = 15624₁₀
Step-by-step explanation:
It will be 1 less than the smallest 7-digit base-5 number. That number is 5^6 = 15625, so the largest 6-digit base 5 number is 15624 in decimal. In base 5, it is 6 of the largest base-5 digits:
444444₅ = 15624₁₀
__
The digits of the number cannot be any larger than the largest base-5 digit. The base-5 digits are 0 to 4, so the largest is 4.
What is the answer for these 3 questions?
Answers
Answer:
3.1
Step-by-step explanation:
divide 28/9
which = 3.11111 .
The area of a triangle is 2/5 square feet. What is the base of the triangle if the height is 6/5 feet?
24/25 feet
25/24 feet
2/3 feet
3/2 feet
Answers
Answer:
2/3 feet.
Step-by-step explanation:
The formula for finding the area of a triangle is A = (B x H)/2. Or, area is equal to base times height, all divided by two. In your case, we don't know the base. If we substitute in values, we get 2/5 = (B x 6/5)/2.
Next, we have to multiply both sides by two, to cancel the "/2." That results in 4/5 = B x 6/5. Then, to isolate the variable, we have to divide both sides by 6/5. 4/5 ÷ 6/5 is 4/5 x 5/6. The fives cancel out, and we are left with 4/6.
Finally, we simplify! 4/6 simplifies to 2/3.
f(x)=2x^2-x-6 g(x)=4-x (f+g)(x)
Answers
[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]
The property above is distribution property where we distribute x-term in the function.
Substitute both f(x) and g(x) in.
[tex] \large{ \begin{cases} f(x) = 2 {x}^{2} - x - 6 \\ g(x) = 4 - x \end{cases}} \\ \large{f(x) + g(x) = (2 {x}^{2} - x - 6) + (4 - x)} \\ \large{f(x) + g(x) = 2 {x}^{2} - x - 6 + 4 - x}[/tex]
Évaluate/Combine like terms.
[tex] \large{f(x) + g(x) = 2 {x}^{2} - 2x - 2} [/tex]
The function can be factored so there are two answers. (Both of them work as one of them is factored form while the other one is not.)
[tex] \large{(f + g)(x) = 2 {x}^{2} -2x -2}[/tex]
Alternative
[tex] \large{(f + g)(x) = 2({x}^{2} -x - 1)}[/tex]
Answer
(f+g)(x) = 2x²-2x-2(f+g)(x) = 2(x²-x-1)Both answers work. The second answer is in factored form.
Let me know if you have any doubts!
