Answers
Answer:
[tex]B=51[/tex]°
Step-by-step explanation:
Use the Law of Sines as follows:
[tex]\frac{sinC}{c} =\frac{sinB}{b}[/tex]
Insert the appropriate values:
[tex]\frac{sin100}{14} =\frac{sinB}{11}[/tex]
Isolate B. Multiply both sides by 11:
[tex]11*(\frac{sin100}{14} )=11*(\frac{sinB}{11})\\\\\frac{11*sin100}{14} =sinB\\\\sinB=\frac{11*sin100}{14}[/tex]
Use the inverse:
[tex]B=sin^{-1}(\frac{11*sin100}{14})[/tex]
Insert the equation into a calculator and round to the nearest degree:
[tex]B=50.7\\\\B=51[/tex]
Angle B is 51°.
:Done
Related Questions
Use the diagram below to find the distance between points (-6, 5) and (-1, -7).
A. 13 units
B. 19 units
C. 6 units
D. 17 units
Answers
Answer:
A. 13 units
Step-by-step explanation:
using distance formula
(x2-x1)^2 + (y2-y1)^2 in roots
(-1+6)^2 + (-7-5)^2 in roots
5^2 + 12^2 in roots
25 +144 in roots
169 in roots
13 units
consider the following three equations:
linear: y=20x+300
Quadratic: y=5x^2
Exponential: y=10(1.4)^x
use the equations to answer the following questions. Support your answers with work.
1. At an x-value of 11, which equation has the largest y-value?
2. what is the smallest integer value of x for which the value of the exponential equation is greater than the values of both the linear and quadratic functions?
Answers
Answer:
1.
y = 20(11) + 300 = 520
y = 5(11)(11) = 605
y = 10(1.4)^11 = 404.96
hence the quadratic formula - y = 5x^2 has the largest y-value
2.
y = 20 (14) + 300 = 580
y = 5 (14) (14) = 980
y = 10(1.4)^ 14 = 1111.20 > this is greater than both equations above
14 is the smallest value of x for which the value of the exponential equation is greater than the values of both the linear and quadratic functions
Step-by-step explanation:
Answer:
1. Quadratic
2. x = 14
Step-by-step explanation:
1. At x = 11
linear: y=20(11) + 300 = 520
Quadratic: y=5× 11² = 605
Exponential: y=10(1.4)¹¹ = 404.956517
2. 10(1.4^x) > 20x + 300
1.4^x > 2x + 30
1.4^x - 2x - 30 > 0
Using trial method:
x > 11
10(1.4^x) > 5x²
1.4^x - 0.5x² > 0
Using trail method:
x > 13
The smallest positive integer which satisfies both inequalities is 14
Translate “4 less than five times a number is –11” into a mathematical equation.
Answers
5x - 4 = -11
Mr. Eichmann 's salary is $42,000. This year, he receives a raise of 7%. What will be his salary this year?
Answers
Find the range of the data in the box plot below.
Answers
Answer:
Range: 20
General Formulas and Concepts:
Statistics
Range - the difference between the highest and lowest pointStep-by-step explanation:
Step 1: Define
Find values from box-and-whisker plot.
Highest point recorded = 25
Lowest point recorded = 5
Step 2: Find Range
Set up: 25 - 5Subtract: 20The solutions to a certain quadratic equation are x = 4 and x = -3. Write the equation in standard form below.
x2 + x - 12 = 0
x2 - x - 12 = 0
x2 - 7x + 12 = 0
Answers
Answer:
x2 - x - 12 = 0
Step-by-step explanation:
(x - 4) (x + 3) = 0
x(x + 3) -4(x + 3) = 0
x2 + 3x -4x - 12 = 0
x2 -x -12 = 0
Mario writes the equation (r + y)2 = z2 + 4(1/2ry) to begin a proof of the Pythagorean theorem. Use the drop-down menus to explain why this is a true equation.
Answers
Answer:
x+y
Z2
1/2xy
Step-by-step explanation:
(x+y)^2 finds the area of the outer square by squaring its side length.
z^2 + 4 (1/2xy) finds the area of the outer square by adding the area of the inner square and the four triangles.
Using the identity
2
θ
+
2
θ
=
1
sin
2
θ+cos
2
θ=1, find the value of
cos
θ
cosθ, to the nearest hundredth, if
sin
θ
=
−
0.31
sinθ=−0.31 and
π
<
θ
<
3
π
2
π<θ<
2
3π
.
Answers
Answer:
can you fix the post so that it is not formatted weird?
Step-by-step explanation:
PLEASE MARK BRAINIEST!!
The required value of cos θ is approximately -0.95.
What are Trigonometric functions?Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.
We are given that sin θ = -0.31 and π < θ < 3π/2.
Since sin θ = -0.31 is negative, we know that θ is in the third quadrant.
Using the identity 2θ + 2θ = 1,
We can rewrite it as:
2θ = 1 - 2θ.
Squaring both sides, we get:
4θ² = 1 - 4θ + 4θ²
Simplifying, we get 8θ = 1, which means θ = 1/8π.
Since θ is in the third quadrant, we have cos θ < 0.
Using the identity cos² θ + sin² θ = 1, we can solve for cos θ as follows: cos² θ = 1 - sin² θ
cos² θ = 1 - (-0.31)²
cos² θ = 0.9039
cos² θ ≈ -0.95
Therefore, the value of cos θ is approximately -0.95.
Learn more about Trigonometric functions here:
brainly.com/question/6904750
#SPJ2
4 blue marbles, 3 green marbles, 7 yellow marbles, and 2 red marbles are in a bag. What is the probability of drawing a blue marble, putting it back in, then drawing a red marbe?
Answers
Answer:
0.375 in fraction is 38.
4/16 + 2/16 = 0.375
Step-by-step explanation:
which statement must be true
Answers
Answer:
(C)
Step-by-step explanation:
AD and BC are parallel to each other. They are the same distance but they never touch.
Your best answer would be C.
Brainilest appreciated.
Five-sixths of a number is 45.
Find the number.
Answers
Answer: The number is 54!!!
Hope it helps!!!
Step-by-step explanation:
Let's call the number x.
So, 5/6 (of or multiplication) = 45
5x = 45* 6
x = 270/5
x = 54
2. Simplify.
–48
O A. 4213
OB. -4213
O C.-4v3
OD. 4V3
Answers
48
2 24
12 2
6 2
3 2
2•2V3
4V3
Sharice buys a vintage video game for $10, then marks up the price 40%. How much did she raise the price?
Answers
Answer:
By 4 dollars so the final price is 14$
Step-by-step explanation:
Answer:She raised the price $4.
Step-by-step explanation: Multiply 10 and .40 to get $4.
mike had a balance of $175 in his bank account at the start of the week.He withdrew $65.00 on Monday, $43.25 on Wednesday, and $56.45 on Thursday.On Friday he deposited $165.30.
1.At the end of the week, does Mike have more or less money in his savings account than he had at the beginning of the week?
2.How much more or less?
3.Show all of your work to support your answers.
Answers
Answer:
1. Mike has more money in his savings account than he had at the beginning of he week
2. $0.6 more
3. Current Balance is $175 + $165.30 - $164.7 = $175.6
Step-by-step explanation:
The question is of the format of a word problem, hence we have;
Initial balance in Mike's bank account = $175
Withdrawal on Monday = $65.00
Withdrawal on Wednesday = $43.25
Withdrawal on Thursday = $56.45
Deposit on Friday = $165.30
Total withdrawal = $164.7
Therefore we have;
Current Balance = Initial balance + total deposit - total withdrawal
∴ Current Balance = $175 + $165.30 - $164.7 = $175.6
1. Therefore, based on the above calculations, Mike has more money in his savings account than he had at the beginning of he week
2. Mike has $0.6 more.
3. Current Balance = Initial balance + total deposit - total withdrawal
∴ Current Balance = $175 + $165.30 - $164.7 = $175.6.
Which statement best summarizes the main idea of the above passage from
"An Indian Father's Plea"?
A. Wind-Wolf learned much of what he learned from public school.
B. Wind-Wolf has a different educational background than many
other children.
O C. Wind-Wolf looks and acts differently than the other children in his
school.
D. Wind-Wolf will often answer questions at school using answers
he learned from those in his tribe.
Answers
Answer:
Had to look for the missing passage and here is my answer. Based on the passage from "An Indian Father's Plea", I can say that the statement that shows the best summary about this is option D: Wind–Wolf has begun denying his native culture because it conflicts with his school culture. Hope this helps.
Step-by-step explanation:
The shark dove down 48 feet in 6 minutes. How many feet did the shark dive down per minute?
Answers
Answer:
8 ft per minute
Step-by-step explanation:
Take the number of feet and divide by the number of minutes
48 ft / 6 minutes
8 ft per minute
helpppppppppppppp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz
answer ALL
Answers
Answer:
Use Desmos for the graphs, symbolab for the inequalities answers.
Step-by-step explanation:
What is the answer to this question?
Answers
Answer:
The answer is 480 in^3
Step-by-step explanation:
Right rectangular prism calc - find V
volume = h * w * l where h is prism height, w is its width and l its length.
Pi ends after how many decimal places?
Answers
Answer:
31.4 trillion decimal places but no one really knows how many decimal places there are. 31.4 trillion decimal places is a world record set by google
Step-by-step explanation:
Answer:
`31.4 trillion decimal places.
Explanation:
As far as we know Google found out that there is about 31.4 trillion decimal places which is rounded to 3.14. Google is not 100% accurate though, Pi is a mathematical number that never ends so we just use what we know which is 3.14. Pi is an ideal that in numerical terms can be approached, but never reached. In order to calculate Pi simply involves taking any circle and dividing its circumference by its diameter. William Jones is the "founder" of Pi in 1706. Jones was a British little-known mathematics teacher, Jones was the first person to use a symbol to represent the platonic concept of Pi.
I hope this helps. : )
guys i’m begging someone help me please!!!!
Answers
Answer:
x= 35
Step-by-step explanation:
supposing we are finding x, we know that the line in the middle is the dimeter. so we know its a semicircle with an arc of 180 degrees. 180-110=70 divide that by two to get x which is 35.
The function g(n) = n2 − 16n + 69 represents a parabola.
Part A: Rewrite the function in vertex form by completing the square. Show your work. (6 points)
Part B: Determine the vertex and indicate whether it is a maximum or a minimum on the graph. How do you know? (2 points)
Part C: Determine the axis of symmetry for g(n). (2 points)
Answers
Answer:
Step-by-step explanation:
A) y + ? = n^2 - 16n + ? + 69
y + 64 = n^2 -16n + 64 + 69
y + 64 = (n-8)^2 + 69
y = (n-8)^2 + 5
B) vertex is (8,5) because the value of a vertex is always (h,k) from the parent vertex function:
y = a(x-h) + k
it's a minimum only because the (a) value is positive
C) axis of symmetry = 8
Which set of numbers is correctly ordered from least to greatest?
24 x 63
5.7 15.758,956 V
63
24 x
S
15.758
4.956 Ve
9566 15.753, 24, 49
63
956 /
15.758
24 x
5
Answers
Answer:
The set of numbers that is correctly ordered from least to greatest is 5.7, 15.758, 24, 49, 63. Is there anything else you would like to know?
Use the given circle. Find the length s to the nearest tenth.
a) 10.5 in
b) 5.2 in
c) 3.3 in
d) 20.9 in
Answers
Answer: its A
Step-by-step explanation:
Any smooth curve connecting two points is called an arc. The length of arc s to the nearest tenth is 10.5 in.
What is the Length of an Arc?Any smooth curve connecting two points is called an arc. The arc length is the measurement of how long an arc is. The length of an arc is given by the formula,
[tex]\rm{ Length\ of\ an\ Arc = 2\times \pi \times(radius)\times\dfrac{\theta}{360} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]
where θ is the angle, which arc creates at the center of the circle in degree.
The length of the given arc s, with an angle made at the center equal to (2/3)π and radius of 5 inches can be represented as,
[tex]\text{Length of Arc} = 2\pi r \times \dfrac{\theta}{2\pi}[/tex]
[tex]\text{Length of Arc s} = 2\pi \times (5)\times \dfrac{\frac23\pi}{2\pi}[/tex]
[tex]=10.472\approx 10.5\rm\ in[/tex]
Thus, the length of arc s to the nearest tenth is 10.5 in.
Learn more about Length of an Arc:
https://brainly.com/question/1577784
How much will the guitar be worth in 10 years?
Answers
Answer:
$44487
Step-by-step explanation:
If you plug in 10 for t, you are left with the following equation:
[tex]V=12000(1.14)^{10}=12000\cdot 3.7072\approx 44487[/tex]. Hope this helps!
Answer: $44,487
Step-by-step explanation:
To solve this, substitute t (the variable for time in the equation) with 10 to represent the value of the guitar after 10 years.
[tex]V = 12000(1.14)^{10}\\V = 12000*3.7072\\\\V = 44487[/tex]
The guitar will be worth $44,487 in 10 years.
Help please
If steak costs $8.45 per pound, what will be the total cost of 0.8 pounds of steak?
Answers
Answer:
$6.76
Step-by-step explanation:
Multiply 8.45 by 0.8 and you will get 6.76
What's the numerator for the following rational
expression?
7/v+3/v=?/v
Answers
Answer:
54inches 43inches are the 53364inches rye 5t337 the earth stud is 37feet of the 368feet
Answer:
10
Step-by-step explanation:
they all have the same denominator so the only focus is adding the 7+3
Gia’s gross annual salary is $46,392.
What is the recommended maximum monthly rent she should pay?
$1082
$1648
$1933
Answers
Answer: I think it might be 1933.
Step-by-step explanation
I hope it helped if not sorry. :/
Bruce and Krista are going to buy a new furniture set for their living room. They want to buy a couch, a coffee table, and a recliner. They have narrowed it down so that they are choosing between 4 couches, 5 coffee tables, and 9 recliners. How many different furniture combinations are possible?
Answers
Answer:
There are 180 possible combinations for the furniture.
Step-by-step explanation:
4*5*9=180
Answer
180 combinations
Step-by-step explanation:
To figure out the number of combinations, we multiply 4*5*9. 4*5 equals 20 and 20*9 equals 180.
what is the inequality
Answers
Answer:
An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value. a ≠ b says that a is not equal to b. a < b says that a is less than b. a > b says that a is greater than b.
Using the slope formula find the slope of a line that contains these two points: (1,-19), (-2,-7)
Answers
Answer:
The slope of the line is -4
Step-by-step explanation:
Slope: (y2-y1) / (x2-x1)
(-7-(-19)) / (-2-1)
(12) / (-3)
= -4