Use the Law of Sines to find the missing angle of the triangle.
Find m∠B to the nearest tenth.
Answers
Answer:
m∠B = 70.0° (nearest tenth)
Step-by-step explanation:
Sine Rule for Angles
[tex]\sf \dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c}[/tex]
(where A, B and C are the angles and a, b and c are the sides opposite the angles)
Given:
a = 13c = 19A = 40°Substituting the given values into the formula to find m∠C:
[tex]\implies \sf \dfrac{\sin 40^{\circ}}{13}=\dfrac{\sin C}{19}[/tex]
[tex]\implies \sf \sin C=\dfrac{19\sin 40^{\circ}}{13}[/tex]
[tex]\implies \sf C=\sin^{-1}\left(\dfrac{19\sin 40^{\circ}}{13}\right)[/tex]
[tex]\implies \sf m \angle C=69.96086904^{\circ}[/tex]
Interior angles of a triangle sum to 180°
[tex]\implies \sf m \angle A+ m \angle B+m \angle C=180^{\circ}[/tex]
[tex]\implies \sf 40^{\circ} + m \angle B+69.960...^{\circ}=180^{\circ}[/tex]
[tex]\implies \sf m \angle B=70.03913...^{\circ}[/tex]
Therefore, m∠B = 70.0° (nearest tenth)
Related Questions
PLEASE ANSWER AS FAST as u can
Answers
Answer:
5.4 cm
Step-by-step explanation:
[tex] c =\pi d[/tex][tex] \implies 17 =\pi d[/tex][tex] \implies \frac{17}{\pi} =d[/tex][tex] \implies \frac{17}{3.14} =d[/tex][tex] \implies 5.41401274 =d[/tex][tex] \implies d\approx 5.4\: cm[/tex]Hope it helps you in your learning process
An item has a listed price of $50. If the sales tax rate is 7%, how much is the sales tax (in dollars)?
Sales tax:
Answers
Work Shown:
7% = 7/100 = 0.07
7% of $50 = 0.07*50 = 3.50
Extra info: The total price including tax would be 50+3.50 = 53.50 dollars. However, it seems like your teacher is only interested in the tax only.
A town has a population of 13,000 and grows at 5% every year what will the population be after 11 years to the nearest whole number
Answers
amount of interest. Therefore, 22,234 would be
the population after 11 years, to the nearest
whole number.
Given:
A town has a population of 13000 and grows at
5% every year.
We need to determined the population after 11
years, to the nearest whole number.
We know that,
Formula =A = P(1+ r)
Where, p be the population. r is the rate and t is
the time.
P= 13000,
r= 5%
†= 11
Now put all these values in formula.
We get,
5
A = 13000(1 +
A
= 13000(1 + 0.05)11
A
= 1300022, 234.41(0.95)
NEED HELP FOR MY STATS CLASS
A chef has created a linear regression model to predict the boiling temperature of water based on the amount of salt added to a 5-gallon pot of water. What is the explanatory variable and what is the response variable?
Explanatory: boiling temperature of the water; Response: amount of salt
Explanatory: the amount of salt; Response: the amount of water in the pot.
Explanatory: amount of salt; Response: boiling temperature of the water
Explanatory: amount of water in the pot; Response: the amount of salt
Answers
Answer:
Explanatory: amount of salt; Response: boiling temperature of the water
Step-by-step explanation:
The chef believes the amount of salt (x) is a predictor for the boiling temperature (y).
Please help me on this!
Answers
By evaluating, we will see that for x = 7 h(x) exceeds g(x).
For which value of x does h(x) first exceed g(x)?
We have:
h(x) = 2*(2)^x
g(x) = 22x - 4
Now we can evaluate both function in the different options:
h(5) = 2*(2)^5 = 64
g(5) = 22*5 - 4 = 106
We can see that for x = 5, h(x) does not exceed g(x), let's try the next one.
h(6) = 2*(2)^6 = 128
g(6) = 22*6 - 4 = 128
So, for x = 6 both functions have the same output, then for x = 7 we will see that h(x) exceeds g(x).
The correct option is B.
If you want to learn more about functions:
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What is the slope of the line that passes through the points (2, 2) and (14, 2)? Write
your answer in simplest form.
Answers
Y 2-2=0
X. 14-2=12
0/12 a horizontal line ( zero rise over 12 to the right
Y= 2-2=0
X= 14-2=0
The product of a number and the number decreased by 4 is 60. write a quadratic equation that models the verbal sentence. let n represent the number find the number
Answers
Answer:
n = 2 + (60/2)
Step-by-step explanation:
Find the base and height of this parallelogram.
Answers
Divide the parallelogram into two triangles, assume that our e diagonal is the "base" for both new triangles. What's the height of that triangle? Use the sine function. It's (f/2) * sin (angle)! The area of the triangle is equal to our "base" e times height: e * (f/2) * sin (angle)
The base is 12 feet long, the height is 17 feet long.
How To Solve: https://brainly.com/question/544471
Credit to: naǫ
Joan is 5 years older than Ellen, and 3 years ago their sum of their ages is 17, in how many years will Joan be 21?
Answers
Answer:
7
Step-by-step explanation:
heyyy please help me here
Answers
Answer:
The correct answer is 111.
Step-by-step explanation:
Each time, the number increases by the number it increased by before, plus 2.
The full sequence would be:
3, 9, 17, 27 , 39, 53, 69, 89, 111.
Hope this helps:) Goodluck!
What is the quotient of 1.728 x 109 and 4.8 x 106 expressed in scientific notation?
Answers
Answer:
4.1386 X 10^3
Step-by-step explanation:
since,
1.728 x 109 = 187 .48
4.8 X 106 = 0.04528 (approx. 0.0453)
187.48 ÷ 0.0453 = 4138.6
4138.6 = 4.1386 X 10^3
What is the quotient of [tex]1.728*10^9 and, 4.8*10^6[/tex] expressed in scientific notation?
[tex]\frac{1.728*10^9}{4.8*10^6}[/tex] Divide
[tex]\frac{1.728}{4.8} * \frac{10^9}{10^6}[/tex] Divide numbers and 10's separately.
[tex]0.36*10^3[/tex] Subtract exponents.
[tex](3.6*10^-^1 )*10^3[/tex] Rewrite as a number bigger than 1
[tex]3.6*(10^-^1*10^3)[/tex] Associate
The answer is
[tex]3.6*10^2[/tex] Add exponents
What should be subtracted from 3x^4 - 2x^3 + 2x^2 + 3x - 2x + 3, so that the resulting polynomial is exactly
Answers
Answer:
185/27
Step-by-step explanation:
To get the polynomial that is exactly divisible by g(x)=3x+2, we have to divide f(x)=3x
4
−2x
3
+3x
2
−2x+3 by g(x) and get the remainder as shown in the above image.
Hence,
27
185
should be subtracted from 3x
4
−2x
3
+3x
2
−2x+3 so that the resulting polynomial is exactly divisible by 3x+2.
HURRRYYYY PLEASE ANSWER SUPER QUICK The table shows the relationship between x and y.
X
2
6
10
y
8
12
16
20
Select from the drop-down menu to correctly complete the statement.
The value of the dependent variable y is always
the value of the independent variable x.
Choose.
one-half
times
2
5
Next ›
2 more than
Answers
Answer:
2 timesStep-by-step explanation:
According to the table, each value of y (dependent variable) is twice the corresponding value of x (independent variable).
This can be shown as
y = 2xCorrect choice is 2 times
Which is the graph of the function f(x) = -√x
Answers
Select the correct answer. which data set is the farthest from a normal distribution? a. 2, 3, 3, 4, 4, 4, 5, 5, 6 b. 3, 4, 5, 6, 6, 7, 7, 7, 8, 8, 9, 10 c. 0.9, 1.0, 1.0, 1.1, 1.1, 1.1, 1.2, 1.2, 1.3 d. 4, 4, 4, 5, 5, 6, 7, 7, 8, 8, 8 e. 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10
Answers
The answer choice which is the farthest from a normal distribution is; Choice E; 2, 4, 5, 5, 6, 6, 7, 7, 7, 8, 8, 9, 9, 10.
Which data set is farthest from a normal distribution?A normal distribution, is a data set which when graphed must follow a bell-shaped symmetrical curve centered around the mean. Additionally, such distribution must adhere to the empirical rule that indicates the percentage of the data set that falls within (plus or minus) 1, 2 and 3 standard deviations of the mean.
On this note, upon evaluation of the data sets, it follows that answer choice E represents the data set that's most farthest from a normal distribution.
Read more on normal distribution;
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helppppp its in the picture
Answers
Answer:
129 m²
Step-by-step explanation:
S1 = ½ × 6 × 4 = 12 m²
S2 = 5 × 7 = 35 m²
S = 2 × S1 + 3 × S2
= 2 × 12 + 3 × 35
= 24 + 105
= 129 m²
HOPE THIS HELPS AND HAVE A NICE DAY <3
A set of data has a mean of 0. 5 and a standard deviation of 0. 1. A data point of the set has a z-score of 2. 5. What does a z-score of 2. 5 mean? The data point is 0. 01 standard deviations away from 2. 5. The data point is 0. 01 standard deviations away from 0. 5 The data point is 2. 5 standard deviations away from 0. 1. The data point is 2. 5 standard deviations away from 0. 5.
Answers
Answer:
The answer is D
Step-by-step explanation: I just took the test on edge
Mathew wants to rent a jet ski for a day. it will cost him $125 per hour plus a $10 fee for a life jacket. let h = the number of hours mathew rents the jet ski. write an expression that shows the total amount he will pay. h + part b evaluate the expression you wrote to find the amount mathew will pay if he rents the jet ski for 3 hours. $
Answers
Answer: A. 125h + 10 B. $385
Step-by-step explanation:
let h = the number of hours Mathew rents the jet ski
a. 125h + 10
B. Plug in 3 for h
125(3) + 10
375 + 10
⇒ $385
Answer:
F(h)= 125h+10
F(3)=125(3)+10
F(3)=375+10
F(3)=385
Step-by-step explanation:
So sorry if this is incorrect. I hope I could help!
Two exterior angles of a triangle are 112 and 98. Find the third exterior angle.
Answers
Answer: 150°
Step-by-step explanation:
let me know if correct!
6.3+n=6.3
can you help me solve this awnser
Answers
Answer:
n=0
Step-by-step explanation:
subtract 6.3 from both sides
Answer:
your answer is N=0
All you have to do is subtract 6.3 from both sides and you'll be left with N=0
Which of the following sets of numbers could represent the three sides of a triangle?
O {11, 16, 25}
O {7,13,20}
O {7, 11, 20}
O {11, 15, 27}
Answers
Answer:
{11, 16, 25}
Step-by-step explanation:
This is because whenever you add two sides of a triangle, it must be greater than the third side.
If x=y, why is 2 is not equal to 1.
Answers
Step-by-step explanation:
this question is kinda tricky
pls help me out i cannot solve this, this is khan academy btw
Answers
Answer:
Step-by-step explanation:
(0,5) (3, 1)
(1 - 5)/(3 - 0) = -4/3
y - 5 = -4/3(x - 0)
y - 5 = -4/3x + 0
y = -4/3x + 5
y < -4/3x + 5
In many cases, lenders allow homeowners to include their homeowners insurance premium with their monthly mortgage payment. tim’s home is worth $279,500. if his homeowners insurance premium is $0.33 per $100, how much is added to his monthly mortgage payment for insurance? a. $7.69 b. $76.86 c. $92.35 d. $922.35 please select the best answer from the choices provided a b c d
Answers
The amount that is added to his monthly mortgage payment for insurance is b. $76.86.
What is a Mortgage?This refers to the amount of money that is paid for the downpayment for a piece of property.
Given that the worth of the home is $279,000
premium is $0.33 per $100.
1 month premium on $1 is $0.0275/100
Now, one month's premium is calculated as:
$0.0275/100 * 279,000
=$76.86
Read more about mortgages here:
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solve for the value of x :-
4(3+x)+x=x+4
Answers
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve for x ~
[tex]\qquad \tt \dashrightarrow \: 4(3 + x) + x = x + 4[/tex]
[tex]\qquad \tt \dashrightarrow \: 12 + 4x+ x = x + 4[/tex]
[tex]\qquad \tt \dashrightarrow \: 5x + 12 = x + 4[/tex]
[tex]\qquad \tt \dashrightarrow \: 5x - x = 4 - 12[/tex]
[tex]\qquad \tt \dashrightarrow \: 4x = - 8[/tex]
[tex]\qquad \tt \dashrightarrow \: x = - 8 \div 4[/tex]
[tex]\qquad \dashrightarrow \: \boxed{ \tt x = - 2 }[/tex]
a bucket is 12cm in diameter at the top , 8cm in diameter at the bottom and 4cm deep.calculate uts volume in cm cubein terms of pi
Answers
Answer:
that is 12x8x4= 384
that should be the final answer
What is the coefficient of x in 2x+3?
0
2
3
5
Answers
Answer:
The coefficient of x becomes 4. Hope it helps you
Step-by-step explanation:
Answer: 2
Step-by-step explanation: Mark me brainliest
A quantity of bacteria doubles every hour. If you start with 100 bacteria cells, the number of cells you will have at any time can be found by the formula c = 100(2)x. How many hours will it take to have 1,000,000 bacteria? Round to the nearest whole number.
Answers
Answer:
10,000 hours
Step-by-step explanation:
10,000 x 100 = 1,000,000
Hope this helps!
HELP ASAP PLSSSSS
(picture of graph is below)
Below are the data collected from two random samples of 500 American adults on the number of hours they spend doing leisure and sports activities per day (rounded to the nearest hour):
Number of hours spent doing leisure and sports activities per day 1 2 3 4 5
Sample A: Number of adults 70 90 135 140 65
Sample B: Number of adults 80 80 130 135 75
Dan concludes that adults spend a mean of 3 hours each day doing leisure and sports activities. Bret thinks the mean is 4 hours. Who is correct—Dan or Bret? Explain your answer in two or three sentences. Make sure to use facts to support your answer.
Answers
Answer:
Dan is correct
Step-by-step explanation:
Mean = the sum of all data values divided by the total number of data values
Number of adults in Sample A:
= 70 + 90 + 135 + 140 + 65 = 500
Mean of Sample A:
= [ (1 × 70) + (2 × 90) + (3 × 135) + (4 × 140) + (5 × 65) ] ÷ 500
= 1540 ÷ 500
= 3.08
Number of adults in Sample B:
= 80 + 80 + 130 + 135 + 75 = 500
Mean of Sample A:
= [ (1 × 80) + (2 × 80) + (3 × 130) + (4 × 135) + (5 × 75) ] ÷ 500
= 1545 ÷ 500
= 3.09
Mean of the two samples:
= (3.08 + 3.09) ÷ 2
= 3.085 hours
= 3 hours (nearest hour)
The mean of Sample A is 3.08 hours and the mean of Sample B is 3.09 hours, so the mean of the entire sample is 3.085 hours. If we round this to the nearest hour, then the mean is 3 hours. Therefore, Dan is correct in concluding that the adults spend a mean of 3 hours each day doing leisure and sports activities.
Hey guys! Sorry to bother but I need help with these. 5th grade math, will give brainliest! (If you see multiple questions by me that look the same, they are all different.)
Answers
Answer:
question 1: 24
question 2: (1/45)*(1/5)=(1/9)
Step-by-step explanation:
