Answers
Given:
The figure of triangle LNM.
To find:
The Law of Sines for the given triangle.
Solution:
Law of sines: In triangle ABC,
[tex]\dfrac{\sin A^\circ}{a}=\dfrac{\sin B^\circ}{b}=\dfrac{\sin C^\circ}{c}[/tex]
Similarly, the Law of Sines for the given triangle LNM is:
[tex]\dfrac{\sin L^\circ}{l}=\dfrac{\sin N^\circ}{n}=\dfrac{\sin M^\circ}{m}[/tex]
Therefore, the correct option is b.
Related Questions
Mateo, a 31-year-old nonsmoker ($5.50), wants to purchase $100,000 in coverage for himself and $75,000 for his spouse, who is female, 30 years old, and does not smoke ($3.50). What will the insurance premium be?
A. $30.50
B. $32.50
C. $35.50
D. $36.00
Answers
Answer: B. $32.50
Step-by-step explanation:
The premiums listed in brackets are for every $25,000 of coverage.
Mateo wants a $100,000 coverage so we need to divide this by $25,000 to see how much more he will have to pay:
= 100,000 / 25,000
= 4
Mateo will have to pay 4 times the $5.50 for himself:
= 4 * 5.50
= $22.00
For his spouse who requires $75,000, he will have to pay:
= 75,000 / 25,000
= 3
= 3 * 3.50
= $10.50
Total Mateo is to pay for both his spouse and himself is:
= 22 + 10.5
= $32.50
Answer: %32.50
9 + 10 = 21
what is the probability of each of the following? a.Not drawing a blue chip, where probability of (drawing a blue chip) =3/8 b. Not seeing Fred tomorrow, where probability of (seeing Fred tomorrow) =2/5 c.Not going to the movies this evening, where probabilty of (going to the movies this evening)= 3/4 d. Not raining tomorrow, where probabilty of (raining tomorrow) =30%
please help:/
Answers
Answer:
a. 5/8 b. 3/5 c. 1/4 d. 70%
Step-by-step explanation:
Factor x2 − 8x + 9.
Answer options:
A. (x-9)(x-1)
B. (x+9)(x+1)
C. Prime
D. (x+9)(x-1)
Answers
x^2 − 8x + 9
What two numbers when multiplied yield 9 but when added yield -8?
There are no such numbers.
Use the quadratic formula.
Please Help Me! I would be really grateful!
Answers
Answer:
weight in an elevator must be less then 2000 - w is less then 2000 or the first option
a ton is 2000 lbs - w=2000
the pool must hold at least 2000 gallons - the second option
the scale can hold up to and including 2000 lbs - the fourth option
my car weighs more then 2000 lbs- the last one
I think this is right, I hoped I helped
In a 100m race an athlete took 9.8 seconds:
a) Draw a distance-time graph to represent this information
b) determine the average velocity
c) distance traveled in 3 seconds
d) the time taken to cover 80m
Answers
Step-by-step explanation:
b) average velocity : ∆x/∆t = 100/9.8 ≈ 10.204 m/s
c) ∆x = v.∆t = 10.204 × 3 = 30.612 m
d) ∆t = ∆x/v = 80/10.204 = 7.84 s
Solve the following simultaneous linear equations.
2x + y = 5
4x – 3y = -10
Answers
Answer:
(1/2,4)
Step-by-step explanation:
First, determine y in first equation: 2x+y=5 or y=5-2x
replace value of y determined in first equation (5-2x) into 2nd equation
4x-3(5-2x)=-10
4x-15+6x=10
10x=5
x=1/2
put value of x into either equation to solve for y so
2(1/2)+y=5
1+y=5
y=4
answer: x=1/2, y=4
check answer by substituting x and y into either equation:
4x-3y=-10
4(1/2)-3(4)=-10
2-12=-10
-10=-10
or
2x+y=5
2(1/2)+4=5
1+4=5
5=5
At summer camp, the cook asks 6 campers to help with slicing watermelons. Each camper slices 4 ½ watermelons. How many melons do the campers slice?
Answers
Answer:
27 melons
Step-by-step explanation:
Number of melons sliced = Number of melons sliced by each camper * number of campers
= 4 1/2 * 6
[tex]= \frac{9}{2}*6\\\\=9*3\\\\= 27[/tex]
Answer:
Solution :-No. of campers = 6
Melon slice by 1 camper = 4½
Total melons sliced = 4 ½ × 6
Total melons sliced = 9/2 × 6
Total melons sliced = 9 × 3
Melons sliced = 27★
[tex] \\ [/tex]
Help pleaseeeeeee!! Thank you!,
Answers
Answer:
Nice background!
Step-by-step explanation:
But I don’t know the answer sorry
Answer:
composite
Step-by-step explanation:
composite- is defined as the whole numbers that have more than two factors. whole numbers that are not prime are composite numbers, because they are divisible by more than two numbers. As shown in the image.
Write an equation in point-slope form of the line that passes through the point (4, 4) with slope 3.
Answers
Answer:
(y-4) = 3(x-4)
Step-by-step explanation:
(y-4) = 3(x-4)
y-4= 3x-12
Y= 3x- 8
Ivan found the change in a scale factor. His work is shown below. What error did Ivan make?
Old length = 35 feet New length = 10 feet
StartFraction 10 divided by 5 over 35 divided by 5 EndFraction = StartFraction 2 over 7 EndFraction
Answers
Answer:
PLS give me brainliest likes and 5 stars
Step-by-step explanation:
Here
Ivan wrote the ratio incorrectly. The ratio should be written as the old length to the new length, so it should be 35
10
, which reduces to 7
2
. When going from larger to smaller dimensions, the change in the scale factor is a ratio that looks like an improper fraction, with a larger number in the numerator and a smaller number in the denominator.
Answer:
Ivan wrote the ratio incorrectly. The ratio should be written as the old length to the new length, so it should be 35/10, which reduces to 7/2. When going from larger to smaller dimensions, the change in the scale factor is a ratio that looks like an improper fraction, with a larger number in the numerator and a smaller number in the denominator.
Step-by-step explanation:
Someone help please thanks.
Answers
Answer:
t=x+44
Step-by-step explanation:
the x ounces are being added to the vase's pre-existing 44 ounces so therefore the equation is t=x+44
If a and B are angles which tan a= 3/4 and cos B= 8/17. Determine the exact value of cos(a-B)
Answers
Answer:Life table of males at age 30. Probability of dying between ages x and x+1
total population:
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001030
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001061
males:
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001420
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001448
white population
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001005
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001037
white males
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001372
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001399
non Hispanic white population
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001083
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001116
non Hispanic white males
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001477
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001503
Jacob, non Hispanic white male. 30 years old.
Probability that Jacob lives to be 30 years old.
Since the given probabilities are probabilities of dying, I think we simply subtract it from 1 to get the probability of living. We will use the probability of non Hispanic white male.
Probability of living to be 30 y.o.
29 - 30 : 1 - 0.001477 = 0.998523
30 - 31 : 1 - 0.001503 = 0.998497
Step-by-step explanation:
Life table of males at age 30. Probability of dying between ages x and x+1
total population:
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001030
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001061
males:
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001420
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001448
white population
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001005
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001037
white males
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001372
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001399
non Hispanic white population
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001083
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001116
non Hispanic white males
29–30 . . . . . . . . . . . . . . . . . . . . . . . . 0.001477
30–31 . . . . . . . . . . . . . . . . . . . . . . . . 0.001503
Jacob, non Hispanic white male. 30 years old.
Probability that Jacob lives to be 30 years old.
Since the given probabilities are probabilities of dying, I think we simply subtract it from 1 to get the probability of living. We will use the probability of non Hispanic white male.
Probability of living to be 30 y.o.
29 - 30 : 1 - 0.001477 = 0.998523
30 - 31 : 1 - 0.001503 = 0.998497
The volume of the oblique cylinder is 24 ft?,
Which statements are true? Check all that apply,
The height of the cylinder is 3.4 ft.
The diameter of the cylinder is about 4.5 ft.
3.4 ft
The diameter of the cylinder is about 3 ft.
The radius of the cylinder is about 6 ft.
A right cylinder with the same height and radius as
this oblique cylinder would also have a volume of
24 fri
Answers
Answer:
A, C, E
Step-by-step explanation:
Right on Edge
Mike will roll two number cubes labeled 1 through 6. After each roll, he adds the two numbers showing and records the result. He will roll the cubes 500 times. About how many times can he expect a sum greater than 8?
Answers
Answer:
In 500 rolls he can expect to get this outcome about 27.77...%* 500 = 139 times.
Nancy’s gross annual income is $46,905. She is paid monthly and has 9% deducted from her paychecks for her 403(b). Her employer matches her deduction, up to 3%.
How much is deposited into her retirement plan each payday?
Answers:
$234.52
$351.79
$469.05
$703.58
_______________
Thank you in advance!
Answers
Answer:
The amount deposited into her retirement plan each payday is;
$469.05
Step-by-step explanation:
From the details given on Nancy's income, we have;
Nancy's gross annual income = $46,905
The percentage deducted from her monthly paycheck for her 403(b) = 9%
The percentage her employer matches her deductions up to = 3%
Therefore, we have;
Her monthly pay = (Her gross annual income)÷12
∴ Her monthly pay = $46,905÷12 = $3,908.75
The amount deducted from her paycheck, A = 9% of $3,908.75
∴ A = 9/100 × $3,908.75 = $351.7875
The amount her employer matches her deductions up to, B = 3% of $3,908.75
∴ B = 3/100 × $3,908.75 = $117.2625
Therefore;
The amount deposited into her retirement plan each payday, D = A + B
∴ D = $351.7875 + $117.2625 = $469.05
The amount deposited into her retirement plan each payday, D = $469.05.
Find the possible values of k if one of the roots of the quadratic equation x^2 - kx + 8 = 0 is twice the other.
Answers
Answer:
[tex]k=\pm 6[/tex]
Step-by-step explanation:
The given quadratic equation is :
[tex]x^2 - kx + 8 = 0[/tex]
One of the roots of this equation is twice that of the other. Let the roots are [tex]\alpha \ and\ \beta[/tex], [tex]\alpha =2\beta[/tex]
Sum of roots, [tex]\alpha +\beta =\dfrac{-b}{a}[/tex]
[tex]\alpha +\beta =\dfrac{-(-k)}{1}\\\\\alpha +\beta =k\\\\3\beta =k\ .......(1)[/tex]
Product of roots,
[tex]\alpha \beta =\dfrac{c}{a}\\\\2\beta ^2=\dfrac{8}{1}\\\\\beta =\pm 2[/tex]
If [tex]\beta =\pm2[/tex],
[tex]k=3(2)\\\\=\pm 6[/tex]
So, the value of k is equal to [tex]\pm 6[/tex].
which point is a solution to the inequality shown in this graph? (0, 1) (3, -1)
options:
a (0, -5)
b (5, -5)
c (3, -1)
d (0, 0)
Answers
Answer:
the answer is (3, -1)
Step-by-step explanation: Ap3X
BRAINLIEST!!! See pic BELOW!!!
Answers
Answer:
160° = (10x + 50°) [Vertically Opposite Angles]
[tex]10x + 50 = 160 \\ 10x = 160 - 50 \\ 10x = 110 \\ x = \frac{110}{10} \\ x = 11[/tex]
Option A. 11 is the correct answer.
I need some help with this I don't understand this much.
Answers
Answer:
ΔX = 6 – -1 = 7
ΔY = 3 – 2 = 1
Step-by-step explanation:
the slope is 7 the equation is y = 1/7x +15/7
x1=6
y1=-6
x2=3
y2=2
Find the value of x.
B
10-X
3
D
E
X
2
С
А
x = [?]
Answers
Answer:
the must be 3 it couldn't be 10-x.
You earned a 72% on a science test. You answered 18 questions correctly. How many questions were on the test? PLS put a step by step explanation cus I am doing a quiz and no work =no points. PLS put a explanation.
Answers
Answer:
4
Step-by-step explanation:
72/18=4
Answer:
25
Step-by-step explanation:
y = 18 ÷ [tex]\frac{72}{100}[/tex]
y = 18 ÷ 0.72
y = 25
Lin ran 29 meters in 10 seconds. she ran at a constant speed. At this rate, how far can she run in 1 minute
Answers
Answer:
2.9 per second
Step-by-step explanation:
If we take 29m and divide it by 10s, we get a value of 2.9. To find how much she can run in 1 minute, just take 60(secs) and multiply by 2.9.
plzzzz hurry ill mark you brainly
Answers
Answer:
1: z = 4.
2: y= 6.
3: w= 13.
4: a= 36.
Please like and mark brainliest!
Hope it helps!
Answer: Z is equal to 4, for the first one. The second one is Y equals 6. The 3rd one is W equals 13. The fourth and final one is A equals 36.
Step-by-step explanation:
Long Explanatio, but I gave the answers.
What is the product (3x10^9) x (2x10^17) in scientific notation
Answers
Answer:
6·10^26
Step-by-step explanation:
Multiply together the coefficients 3 and 2, obtaining 6. We must also multiply together the powers of 10; we do this by ADDING the exponents 9 and 17, to get the final answer
6·10^26
Answer:
6•10^26 is the answer.
The population of bacteria in an
experiment is increasing by 90% each
day. If there were 100 bacteria at the
beginning of the experiment, predict the
number of bacteria in 5 days.
First, complete the equation:
Future Amount = [?](1+[DU
what would the equation
Answers
Answer:
Future amount = 100(1.9)^5 ;
2476
Step-by-step explanation:
P(t) = P0 * (1 + r)^t
P(t) = 100 * (1 + 90/100)^t#
P(t) = 100 * (1 + 0.9)^t
Therefore, the number of bacteria in 5 years :
P(5) = 100 * (1 + 0.9)^5
P(5) = 100 * (1.9)^5
P(5) = 100 * 24.76099
P(5) = 2476.099
P(5) = 2476 bacteria
P(10%
55percent of her mony was spent for food. Express 55 percent as a decimal.
Answers
Answer:
0.55
plz mark me as brainliest.
Answer:
0.55
Step-by-step explanation:
55/100=
55 divided by 100
=0.55 because the decimal point will move 2 numbers forward
Can someone help me on this question?
Answers
A=(8+5/2)6
A=39
The answer is the light blue box, 39cm^2
A= a+b x h / 2
Replace variables
A= 5 + 8 x 6 / 2
A= 39cm2
PLEASE HELP!!
A plane is going to fly 400 miles at a planned speed of 570 mph. The flight will have an average headwind of w miles per hour the entire time, meaning the plane is flying directly against the wind. The time T, in hours, of the flight is a function of the speed of the headwind w, in mph, and can be modeled by
T(w) = 400/570 - W
a) What does T(150) mean in this situation?
b) At what value of w does the graph have a vertical asymptote? Explain how you know and what this asymptote means in the situation.
Answers
Step-by-step explanation:
t(150) = 400/570-150
=400/420
=20/21
=.95238
Write an equation of the line below.
Answers
Answer:
y - 5 = -.4 (x + 5) or y = -0.4x + 3
Step-by-step explanation:
y - 5 = -.4 (x + 5) is the Point Slope Form
y = -0.4x + 3 is the Slope Intercept Form
Hope that this helps!
A number diminished by 51 is 73.
Answers
Answer:
124
Step-by-step explanation:
124 - 51 = 73
