Use the Law of Sines to find the missing angle of the triangle. Find m<b to the nearest tenth.
A) 110.0 degrees
B) 153.9 degrees
C) 26.1 degrees
D) 70.0 degrees
Answers
SinA/a=SinB/b=SinC/c
2. You don't need the fraction SinC/c, so you can eliminate it. Then:
SinA/a=SinB/b
A=40°
a=19
B=m∠b
b=13
3. When you substitute this values into SinA/a=SinB/b, you obtain:
SinA/a=SinB/b
Sin(40°)/19=SinB/13
SinB=13xSin(40°)/19
m∠b=SinB^-1(13xSin(40°)/19)
m∠b=26.1°
Therefore, the answer is: 26.1 degrees.
Answer: D) 70.0
Step-by-step explanation: :)
Related Questions
residents of a small city voted on whether to allow a developer to build a shopping center.the number of votes favor of the shopping center was 4,400.the number of votes against the shopping center was 17,600.what percent of the voters were in favor of building the shopping center?
Answers
Thus in this case, our percentage would be 4400/22000=20%.
Your typical markup for merchandise is 40%. Your cost on an item is $8.00. Calculate the selling price.
Answers
Selling price=(Markup/Product costx100%)+Product cost
You have that:
Markup=40%
Product cost=$8.00
Given these values, you only have to substitute them into the formula of Selling price:
Selling price=(Markup/Product costx100%)+Product cost
Selling price=(40%/$8.00x100%)+$8.00
Selling price=$3.20+$8.00
Selling price=$11.20
solve for x in the equation x^2 + 20x + 100 = 36
Answers
Comment the correct answer.
Answer:
x = -4 or x = -16
Step-by-step explanation:
We have to solve equation x^2 + 20x + 100 = 36 and find the value of x
x² + 20x + 100 = 36
x² + 20x + 100 - 36 = 36 - 36
x² + 20x + 64 = 0
(x + 4 ) ( x + 16 ) = 0
x + 4 = 0 or x + 16 = 0
x = -4 or x = -16
Answer would be x = -4 or x = -16
Mr. Jacobs is going to make a histogram of the test scores from the last math test he gave. He plans to first organize the data into a stem-and-leaf plot and then make the histogram from the stem-and-leaf plot. The test scores are listed below. 79, 82, 65, 61, 94, 97, 84, 77, 89, 91, 90, 83, 99, 71, 68, 77, 87, 85 What is the mode interval of the data?60-69 70-79 80-89 90-99
Answers
Answer:4
Step-by-step explanation: just mark me brainlest
paleontologists have put together bones to make a t-rex skull that has a mass of 600 pounds.They just found a new tooth fossil to add to the skull that has a mass of 40 ounces.how many pounds in the t-rex skull with the new tooth
Answers
Answer:
40/16 = 2.5 . 600 lbs +2.5 lbs = 602.5 lbs skull
Step-by-step explanation:
convert 40 oz lbs and then make it 40/16
Simplify
(343) 1/3
a)21
b)19
c)49
d)7
Answers
343 × 1/3 = 114 1/3
Hope this helps!
The Orlando eye in Orlando, Florida is a regular polygon with 30 sides. Which of the following is the measure of each interior angle of the polygon?
Answers
Answer:
The measure of each interior angle of the polygon is [tex]168\°[/tex]
Step-by-step explanation:
we know that
The sum of the internal angles in a polygon is equal to
[tex]S=(n-2)180\°[/tex]
where
n is the number of sides of polygon
In this problem we have
[tex]n=30\ sides[/tex]
substitute
[tex]S=(30-2)180\°=5,040\°[/tex]
To find the measure of each internal angle divide the total sum of internal angles by the number of sides
so
[tex]5,040\°/30=168\°[/tex]
Answer:168
Step-by-step explanation:
N is the number of sides. Formula is (n-2)×180/n. So (30-2)= 28×180=5040÷30= 168
what is the value of log3^81
Answers
Answer:
Third option is correct. The value of given expression is 4.
Step-by-step explanation:
The given expression is
[tex]log_381[/tex]
The given expression can be written as
[tex]log_3(3\times 3\times 3\times 3)[/tex]
[tex]log_3(3^4)[/tex]
According to the property of logarithm expression,
[tex]log_a(a^b)=b[/tex]
Using this property of logarithm expression, we get
[tex]log_3(3^4)=4[/tex]
Therefore the value of given expression is 4 and option third is correct.
The value of the expression log₃(81) is 4.
We have,
The value of log base 3 of 81 can be found by asking the question: "To what power must 3 be raised to obtain 81?"
In this case, the answer is 4, because 3 raised to the power of 4 equals 81.
i.e
[tex]3^4[/tex] = 81
Therefore,
The value of the expression log₃(81) is 4.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ6
A bicyclist was traveling from the village to the railroad station with a speed of 15 mph and he was coming back to the village with a speed of 10 mph. Find the distance from the village to the railroad station, if it’s known that it took 1 more hour for the bicyclist to get back to the village.
Answers
a taxi cost $1.65 for the 1st Mile and $0.85 for each additional mile. Which equation could be solved to find the number x of additional miles traveled in the taxi given that the total cost of the trip is $20?
Answers
0.85x + 1.65 = 20
to solve it:
subtract 1.65 from both sides. afterwards, divide both sides by 0.85 to find x!
Rosa is thinking of a number between 9.04 and 9.15 that has a six in the hundreds place what is the number explain
Answers
Answer: 9.06
Hope this helps! :)
PLEASE HELP!!! LAST QUESTION
Which of the following is the equation of a line that passes through the points (2,5) and (4,3)
A. y= -2x+5
B. y= 2x+5
C. y= -x+7
D. y= x+7
Answers
To get this answer, I just substituted the x values of the given coordinates in each of the equations to see which one would produce the given y values. y= -x+7 works because:
5= (-2)+7
3= (-4)+7
a collection of nickels and dimes is worth $2.95 there are 47 coins and all how many nickels are there
Answers
D= dimes
N=nickels
A) A pack of 8 batteries cost £3.99 how much dose each battry cost? ( give your answer in penny ?) ________________________________B) A pack of 6 batteries of the same type costs 2.79. By calculating the price of the battery determine if this is a better value. You must show your working out?
Answers
Which, changed into pence and rounded up, is 50p.
£2.79 divided by 6 is £0.465
Which, changed into pence and rounded up is 47p.
50p is bigger than 47p
50 subtract 47 is 3p
The second one has the better value for money as it costs 3p less per battery.
(A) cost of each battery is [tex]49 \;\rm{penny}\\[/tex].
(B) cost of each battery is [tex]\£\;0.465[/tex].
Given: Cost of a pack of [tex]8[/tex] batteries is [tex]\£\; 3.99[/tex].
According to question,
(A) Cost of each battery can be calculated as [tex]\£\;\frac{3.99}{8}=\£\;0.49875[/tex].
As we know that,
[tex]\£\;1=100 \;\rm{penny}\\\£\;0.49=49 \;\rm{penny}\\[/tex]
(B) costs of a pack of [tex]6[/tex] batteries is [tex]\£\; 2.79[/tex].
Cost of each battery can be calculated as [tex]\£\;\frac{2.79}{6}=\£\;0.465[/tex].
Therefore, (A) cost of each battery is [tex]49 \;\rm{penny}\\[/tex].
(B) cost of each battery is [tex]\£\;0.465[/tex].
Learn more about cost of an item here:
https://brainly.com/question/19515972
1.) One side of a rectangle is 7 inches and the other side is x inches. What values of x will make the perimeter at most 26 inches?
2.) Use the fact that the sum of the 3 angles in a triangle is 180 degree to answer this question. One angle in a triangle has a measure that is three times as large as the smallest angle. The measure of the third angle is 35 degree more than that of the smallest angle. Find the measure of the each of the angles.
I need the smallest angle, The middle angle and largest angle .
Thank you !
Answers
What is the following sum? 2(^3√16x^3y)+4(^3√54x^6y^5)
Answers
Answer: the answer is a
Step-by-step explanation:
I just took the test
y varies directly as x. If y = -2 when x = 4, find x when y = 5.
Answers
What number would you add to both sides of x2 + 7x = 4 to complete the square? 22 72
Answers
answer is (7/2)^2
someone please show me to how to find x, thank you.
Answers
(3y -20) +(2y +15) = 180
5y -5 = 180
y -1 = 36
y = 37
Opposite angles are equal.
5x -14 = 2y +15
5x = 2y +29
x = 0.4 y +5.8
x = 0.4*37 +5.8 = 20.6 . . . . . . . selection A is appropriate
Choose the correct simplification of the expression the quantity a to the 4th power over b to the 2nd power all raised to the 3rd power.
a to the 7th power over b to the 5th power
a to the 12th power over b to the 6th power
ab9
a12b6
Answers
a to the 4th power = a⁴
over
b to the 2nd power = b²
( [tex] \frac{a^4}{b^2} [/tex] ) raised to 3rd power = ( [tex] \frac{a^4}{b^2} [/tex] )³
The power of power properties apply here
(a) 4 x 3 = 12
(b) 2 x 3 = 6
[tex] \frac{a^1^2}{b^6} [/tex]
Your answer will be the 2nd Option
a to the 12th power over b to the 6th power
The area of a trapezoid is 20 square units. The sum of the base lengths is 10 units. What is the height of the trapezoid
Answers
1/2 × 10 × height = 20
5 × height = 20
height = 20/5
height = 4 units
Steven earns extra money babysitting. He charges $37.50 for 6 hours and $50.00 for 8 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
The equation is y =
Answers
x------------------> represent the number of hours Steven babysits
y----------------- > represent the amount he charges
for x=6 hours
y=$37.50 ----------------> y/x=37.5/6=6.25
for x=8 hours
y=$50---------------------> y/x=50/8=6.25
therefore
y=6.25x
the answer is
y=6.25x
BRAINLIEST to the one who can asnwer my question and show me the work step by step so that I can understand. I want to understand.
Approximate the arc length of one-quarter of the unit circle (which is π /2) by computing the length of the polygonal approximation with n=4 segments. (As seen in picture)
The length of the line segment on the interval 0≤x≤0.25
The length of the line segment on the interval 0.25≤x≤0.5
The length of the line segment on the interval 0.5≤x≤0.75
The length of the line segment on the interval 0.75≤x≤1
Answers
Given unit circle, so radius=1.
We calculate lengths of vertical segments, with the help of Pythagoras Theorem, based on a right triangle radiating from circle centre O, and hypotenuse from O to a point on the circumference.
AO=1 (given unit circle)
BB'=sqrt(1^2-0.25^2)=0.968246
CC'=sqrt(1^2-0.5^2)=0.866025
DD'=sqrt(1^2-0.75^2)=0.661438
EE'=0
Now we proceed to calculate the segments approximating the arc. Again, we use a right triangle in which the hypotenuse is the segment joining two points on the circumference. The height is the difference between the two vertical segments, and the base is 0.25 for all four segments.
AB=sqrt((AO-BB)^2+0.25^2)=0.252009BC=sqrt((BB-CC)^2+0.25^2)=0.270091CD=sqrt((CC-DD)^2+0.25^2)=0.323042DE=sqrt((DD-0)^2+0.25^2)=0.7071068
giving a total estimation of the arc length
approximation of arc=AB+BC+CD+DE=1.55225
Hello,
Please, see the attached files.
Thanks.
simplify x + 2/ x^2 - 6x - 16 divided by 1/9x
Answers
Simplify the expression
9/x(x - 8)
Hope this helps! :)
~Zain
for a stem competition julienne constructed a model rocket the rocket can reach an average height of 545 ft. Find the differences between the average height and the actual Heights reached. Then write them as a positive and negative rational numbers. order the differences from least to greatest
Answers
545-534.2 = 10.8
545-556.4 = -11.4
545-554.0 = -9
545-535.3 = 9.7
write them as a positive and negative rational numbers
positive:
9.7 = 9 7/10
10.8 = 10 4/5
negative:
-11.4 = -11 2/5
-9 = -9
the differences from least to greatest
-11 2/5
-9
9 7/10
10 4/5
the area of a circle is 78.5 square meters. what is the radius ?
Answers
neeeeeed help asp please. thx:)
Answers
Then multiply 12 by 3 to get the ounces, which is 36.
So A, 21 lbs 36 oz, is the correct answer.
Hope this helps!
Choose the correct product of (3x − 8)2.
9x2 − 64
9x2 + 64
9x2 − 48x + 64
9x2 + 48x + 64
Answers
(3x - 8)²
(3x - 8)(3x - 8)
(3x)² - 8(3x) - 3x(8) + (8)²
9x² - 24x - 24x + 64
9x² - 48x + 64
Your answer will be the second last option
Which of the following are linear factors of p(x) = x 3 - 2x 2 - 5x + 6 ?
Answers
.. (x +2)
.. (x -1)
.. (x -3)
_____
Obviously, you don't mind using "technology" (Brainly) to tell you the answer. You might find it useful in the future to learn to use your graphing calculator. It can make short work of these questions.
Suppose that 44% of all Americans approve of the job the president is doing. The most recent Gallup poll consisted of a random sample of 1400 American adults.
A) What is the mean of the sampling distribution?
B) What is the standard deviation of the sampling distribution?
C) Describe the normal approximation for this sampling distribution.
D) What is the probability that the Gallup poll will come up with a proportion within 3 percentage points of the true 44%?
Answers
n = population = 1400
p = probability of positive answer = 0.44
A) The mean of a binomial distribution is
μ = np
= 1400 × 0.44
= 616
Hence, μ = 616
B) The standard deviation of a binomial distribution is
σ = √[np(1 - p)]
= √[1400×0.44×(1-0.44)]
= √(1400×0.44×0.56)
= 18.6
Hence, σ = 18.6
C) A binomial distribution B(n, p) can be approximated by a normal distribution N(μ, σ) only when:
np ≥ 10 (we have 616 > 10)
np(1 - p) ≥ 10 (we have 344.96 > 10)
Hence, the normal approximation is N(616, 18.6)
D) We need to calculate the probability of the sample population to be within 3% of the true mean.
In order to do so, as a first thing, we need to calculate the sample standard deviation, which will be given by the formula:
[tex]\sigma = \sqrt{ \frac{p(1-p)}{n} } [/tex]
= √[0.44 × (1 - 0.44) ÷ 1400]
= √0.000176
= 0.013
Now, we need to calculate the z-score associated with the values we want: since we want 3% from the mean, it means between 41% and 47%.
The z-score can be calculated by the formula:
z = (Y - p) / σ
z₁ = (0.41 - 0.44) / 0.013 = -2.31
z₂ = (0.47 - 0.44) / 0.013 = 2.31
Therefore, we can write
P(0.41 ≤ Y ≤ 0.47) = P(-2.31 ≤ z ≤ 2.31)
= P(z ≤ 2.31) - P(z ≤ -2.31)
= P(z ≤ 2.31) - [1 - P(z ≤ 2.31)]
= 2×P(z ≤ 2.31) - 1
From a standard normal distribution table, we find:
P(z ≤ 2.31) = 0.9896
Therefore:
2×P(z ≤ 2.31) - 1 = 2 × 0.9896 - 1
= 0.9792
Hence, the probability to find a proportion within 3% of the real mean is 97.92%