Answers
Answer:
b=204
Step-by-step explanation:
The law of sine states that: [tex]\frac{SinA}{a} =\frac{SinB}{b} =\frac{SinC}{c}[/tex]
We know that a triangle has 180° total, so we can subtract the two angle measures we know to find the third angle: [tex]180-90-41=49[/tex]°.
Using these two things, we can come up with the equality [tex]\frac{Sin90^{o} }{270} =\frac{Sin49^o}{b}[/tex], which we can use to solve for side b.
[tex]\frac{Sin90^o}{270} =\frac{1}{270}[/tex], so we know that [tex]\frac{1}{270} =\frac{Sin49^o}{b}[/tex].
Next, we would multiply both sides by b to get [tex]\frac{1}{270}b=Sin49^o[/tex].
Sin49°≈0.75471, so to find b we would multiply 0.75471×270=203.77
Since the problem asks us to round to the nearest whole number, b=204
Hope this helps! :)
Related Questions
Which choice represents the fraction below as a single exponential
expression?
88
O A.
(3)
OB. 811
O C. 3
OD. 85
Answers
Answer:
8^5
Step-by-step explanation:
division is just minusing exponents
The correct value of this expression is 8⁵
A fraction is also a division. When we divide power with equal bases - we subtract the exponents and keep the base.
Resolution = 8⁸/8³= 8⁸÷³= 8⁵Therefore, the answer correct is 8⁵
let a={1,2,3,4,5} number of functions f from A to A such that f(m) +f(n)=7 whenever m+n = 7
Answers
Answer:
Correct option is A)
A={1,2,3,4,5,6}
f:A→A
∴ Number of onto function=n!
=6!
=6×5×4×3×2×1
∴ Number of onto function=720
Step-by-step explanation:
The train at the zoo holds 36 people. Each row of seats in the train holds 4 people. How many rows of seats are there in the train?
Answers
In a sale is 25% off all prices but cost £33 in the sale how much was it before the sale
Answers
The original cost was it before the sale will be £ 26.4.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio.
In a sale is 25% off all prices but cost £33 in the sale.
Then the original cost was it before the sale will be
Let x be the original cost.
Then we have
1.25x = £33
x = £26.4
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It makes that every time we flip a fair the probability of flipping tails is
Answers
It makes that every time we flip a fair the probability of flipping tails is 50%.
What is the probability?Probability determines the chances that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0. If it is equally likely and unlikely that the event would happen, it would have a probability of 0.5
Probability of flipping tails = number of tails / number of sides
1/2 = 0.5 = 50%
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2/3 of a number is 48. What is 1/4 of the number ?
Answers
Answer:
your answer will be 18
Step-by-step explanation:
2/3 of 72 is 48, 1/4 of 72 is 18
i need some extra words here so hopefully this works
A square on a coordinate plane is translated 9 units down and 1 unit to the right. Which function rule describes the
translation?
OT₁-9(x, y)
OT_1-9(x, y)
OT9, 1(x, y)
OT_9,-1(x, y)
Answers
Function rule describes the translation OT_1-9(x, y)
What is translation?A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation.
A square on a coordinate plane is translated 9 units down and 1 unit to the right.
Let's (x, y) be the coordinate.
where x be the horizontal move and y be the vertical move.
As, it is translated 9 units down and 1 unit right.
then
(x, y) = (x +1, y - 9)
and the translation be
(x, y ) = (x+1, y-9)
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A regular pentagon and a square share a mutual vertex B. The sides AB and BC are sides of a third regular polygon with vertex B. How many sides does this polygon have?
Answers
There are different kinds of polygon. The number of sides that this polygon have is 5.
What is the polygon about?Note that the side of each polygon = 3.5
The parameter of polygon =17.5
Therefore the number of sides = parameter of polygon / parameter of polygon
So = [tex]\frac{17.5}{3.5}[/tex]
=5
Therefore, The number of sides that this polygon have is 5.
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For the polynomial function, find the requested value: f (x) = 10x2 − 4x − 5; f (−2)
Answers
Answer:
So first we substitute -2 for x
f(-2) = 10(-2)^2 - 4(-2) - 5
f(-2) = 400 + 8 - 5
f(-2) = 400 + 3
f(-2) = 403
Step-by-step explanation:
Does this graph represent a function? Why or why not?
OA. Yes, because it passes the vertical line test.
OB. Yes, because it is a curved line.
OC. No, because it is not a straight line.
OD. No, because it fails the vertical line test.
Answers
This graph represents a function Because it passes the vertical line test.
Let us first understand the Vertical Line Test.
In this test, we draw a few random vertical lines on a graph and check whether any one or more than one lines intersect the graph, no matter once or more.
If there exists a line that intersects the graph, we say the graph passes the vertical line test.
What is the vertical line test?
The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.
Hence this graph passes the vertical line test because there are many vertical lines that intersect it.
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The product of a number and 2 is 1. Find eight times the number.
Answers
Answer:
I would think that it would be 8
Step-by-step explanation:
1-2= (-1)= -1+2=1
I think it's 8. 8 times the number of 1 is well...8.
Step-by-step explanation:
x = the number
x * 2 = 1
soooo x = 1/2
then 8 * 1/2 = 4
In which portion of elgin’s presentation does this information fit? the overview of the situation a solution to the problem an effect of the solution an effect of the problem
Answers
A portion of Elgin’s presentation which the given information fits is: B. a solution to the problem.
What is a presentation?A presentation is act that involves the process of speaking to an audience (listeners), so as to formally share and explain an idea, piece of work, subject matter (topic), product, or project, especially for the purpose of proffering a solution to a particular problem.
In this context, we can infer and logically deduce that a portion of Elgin’s presentation which the given information best fits is a solution to the problem because higher taxation on sugary beverages encouraged people to make healthier choices.
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Complete Question:
Elgin is taking notes for his presentation about how people drink too much soda and other sugary drinks, and he finds information about how some cities and states are taxing sugary beverages at a higher rate to encourage people to make healthier choices. In which portion of Elgin’s presentation does this information fit?
A. the overview of the situation
B. a solution to the problem
C. an effect of the solution
D. an effect of the problem
Answer:
B - a solution to the problem
took on edge
What is the solution set for the following equation?
x² = 16
Answers
Answer:
[tex]\{4,-4\}[/tex]
Step-by-step explanation:
[tex]~~~~x^2 = 16\\\\\implies x = \pm\sqrt{16}\\\\\implies x =\pm 4\\\\\implies x = 4 ,~ x = -4[/tex]
Answer:
x = 4
Step-by-step explanation:
x² = 16
We do the opposite of x² , so we [tex]\sqrt{x}[/tex] (square root) both sides
[tex]\sqrt{x}[/tex] = [tex]\sqrt{16}[/tex] = 4
to confirm this, we can square 4, which gets us 16.
Hope this makes sense! Feel free to ask anything further if need be.
- profparis
PLEASE HELP WILL PICK BRAINLIEST!!! 50 POINTS!!!!
AB is a directed segment with endpoints A(2,2) and B(14,14). In two or more complete sentences, explain how you would verify that Point X, with a coordinate of (6,6), divides in AB a 1:2 ratio?
Answers
Answer:
See below ~
Step-by-step explanation:
Applying section formula :
⇒ x = 1(14) + 2(2) / 1 + 2 = 18/3 = 6
⇒ y = 1(14) + 2(2) / 1 + 2 = 18/3 = 6
We understand after substituting the values of the endpoints in the section formula that the Point X divides the line in the ratio 1 : 2.
Is 4,-1 a solution to y+1=3(x-4)
Answers
Answer
I don’t quite understand what your asking but I hope this helps
y=3x-13
Step-by-step explanation:
Segment GH is shown on the graph.
What are the coordinates of the point that divides the
segment into a 3:2 ratio?
O (-7.5, 0.5)
O (0.5, -7.5)
O (-1.2,-2.2)
O (-2.2,-1.2)
Answers
The coordinates of the point that divides the segment into a 3:2 ratio is (-2.2, -1.2)
How to determine the coordinate?The points are given as:
G = (-4,3)
H = (-1,-4)
Ratio, m : n = 3 : 2
The coordinate of the point is calculated using:
[tex](x,y) = \frac{1}{m + n} * (mx_2 + nx_1, my_2 + ny_1)[/tex]
This gives
[tex](x,y) = \frac{1}{3 + 2} * (3 * -1 + 2 * -4, 3 * -4 + 2 * 3)[/tex]
Evaluate
[tex](x,y) = \frac{1}{5} * (-11, -6)[/tex]
Evaluate the product
(x,y) = (-2.2, -1.2)
Hence, the coordinate of the point is (-2.2, -1.2)
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an airplane is flying at the height of 10 km above the ground the distance along the ground from the airplane to the airport is 10√3 km . what is the angle of depression from the airplane to the ground
Answers
The angle of depression from the aeroplane to the ground will be 30 degrees.
What is trigonometry?
Trigonometry is the branch of mathematics which set up a relationship between the sides and angle of the right-angle triangles.
Given that:-
An aeroplane is flying at the height of 10 km above the ground the distance along the ground from the aeroplane to the airport is 10√3 kmThe angle of depression will be calculated as the angle between the horizontal and the height of the plane as shown in the figure below.
As we know that the perpendicular theta is height and the base ratio is angle tan theta.
tanФ = Height / Base
tanФ = 10 / 10 √3
tanФ = 1 / √3
Ф = tan⁻¹( 1 / √3 ) = 30°
Therefore the angle of depression from the aeroplane to the ground will be 30 degrees.
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0=x^2- 10x+10
Rewrite the equation by completing the square
Answers
[tex]~~~~~~x^2 -10x +10 =0\\\\\implies x^2 -2 \cdot 5 \cdot x +5^2 -5^2 +10 = 0\\\\\implies (x-5)^2 -25+10 = 0\\\\\implies (x-5)^2 -15=0\\\\\implies (x-5)^2 = 15[/tex]
M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of ?
A.
5 units
B.
9 units
C.
10 units
D.
12 units
This is for edmentum btw
Answers
What is the value of t?
1.4t - 0.4(t-3.1) = 5.8
enter the answer as a decimal in the box.
Answers
Answer:
4.56
Step-by-step explanation:
After this equation is simplified, it is solved the way any 1-step linear equation is solved.
__
1.4t -0.4(t -3.1) = 5.8 . . . . . . given
1.4t -0.4t +1.24 = 5.8 . . . . . eliminate parentheses
t +1.24 = 5.8 . . . . . . . . . collect terms (now you have a 1-step equation)
t = 4.56 . . . . . . . . . .subtract 1.24
4.56 is the answer
I got 100% on the quiz
I hope this helps
Please Brainliest
Proof my answer is correct and not Incorrect
Does the graph show a linear function?
Answers
Answer:
The graph does show a linear function
Step-by-step explanation:
The line is decreasing at a constant rate that keeps the line straight.
you put $2012 into an account earning 4.345% interest compounded daily. find the amount in the account at the end of 8 years
Answers
y = 2012(1+(0.0435/365))^365(8)
plug into calculator
answer: $2849.4
Which graph represents the function f(x))=2•(1/3)^x
Answers
Answer:
The one in the right top hand corner. It shows one arrow pointing up and one to the right.
Step-by-step explanation:
I can't really explain it.
What is the answer for this question
__ hundreds= 90 tens
Answers
Step-by-step explanation:
One hundred is 10 tens. Using this information, you can divide 90 by 10 to calculate the hundreds, and get 9 hundreds, or 900
Which parent function is f(x)=|x|?
A The linear parent function
B The quadratic parent function
C An exponential parent function
D The absolute parent function
Answers
PLEASE HELP ITS THE LAST QUESTION I NEED AND THEN ILL BE FINISHED WITH THIS UNIT!!!!! 40 POINTS!!!!
Answers
Answer:
First is b; because [B1] is [A1] multiplied by -4
Second is c; because [C2] = 7[B1] + [B2]
Need urgent help!! It would be really appreciated if someone could help!!
Answers
Answer:
[tex]C)~ 10.06~ m[/tex]
Step-by-step explanation:
[tex]~~~~~~\sin 8^{\circ} = \dfrac{1.4}{y}\\\\\implies y = \dfrac{1.4}{\sin 8^\circ}\\\\\implies y \approx 10.06~ m[/tex]
Julieta models a can of ground coffee as a right cylinder. She measures its height as 6 1/4 in and its radius as 1 in. Find the volume of the can in cubic inches. Round your answer to the nearest tenth if necessary.
Answers
The volume of the cylindrical can of ground coffee is 19.6 inches cube.
How to find the volume of a cylinder?volume of the can ground coffee = πr²h
where
r = radiush = height of the cylinderTherefore,
r = 1 inches
h = 6 1 / 4 = 25 / 4 inches
volume of the can ground coffee = 3.14 × 1² × 25 / 4
volume of the can ground coffee = 78.5 / 4
volume of the can ground coffee = 19.6 inches³
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What is this expression in simplified form?
2√2-7√18
Answers
Answer: Heyaa! ~
Your Answer in simplified form is... −19√2
Step-by-step explanation:
2√2-7√18 = −19√2
Pull terms out from under the radical, assuming positive real numbers.
Hopefully this helps you! ~
Find the measure of angle b.
29°
61
71
141
151
Answers
Subtract 90 minus 29. You get 61°
Making sense?