Answers
Step-by-step explanation:
For some side x, we are given two angles so let use law of sines
We don't know the angle opposite of the x side so we using the triangle interior property
[tex]120 + 51 + x = 180[/tex]
[tex]x = 9[/tex]
So the missing angle is 9.
The law of sines formula is that
[tex] \frac{a}{ \sin( \alpha ) } = \frac{b}{ \sin( \beta ) } [/tex]
where a and b are side lengths.
And alpha, and Beta are angles that are OPPOSITE of the side lengths, a and b, respectively
Let a be 25,
therefore alpha is 120
Let b be x,
therefore beta is 9.
[tex] \frac{25}{ \sin(120) } = \frac{x}{ \sin(9) } [/tex]
Solving for x.
[tex]25 \times \frac{ \sin(9) }{ \sin(120) } = x[/tex]
[tex]x = 4.51587[/tex]
Round if needed so our answer is
[tex]x = 4.5[/tex]
Related Questions
200 cm and 200 dm which one is bigger
Answers
Answer
200 DM
Hope this helps
What number between 0 and 100 meets the following criteria? It is a multiple of three, a multiple of five, and an odd number. When you multiply the digits, you get an even number. When you add the digits, you get an odd number.
Answers
Answer:45
Step-by-step explanation:
9x5=45
15x3=45
4x5=20
4+5=9
please help me ASAP thank you
Answers
Answer:
Step-by-step explanation:
Solve the inequality:
-3t+9 > -21
O t< -10
o t < 10
O t> -10
O t > 10
Answers
Answer:
b. t < 10
Step-by-step explanation:
[tex]-3t + 9>-21[/tex]
divide both sides by -3
[tex]t - 3 < 7[/tex]
(you have to flip the sign because you are dividing by a negative)
add 3 to both sides
[tex]t<10[/tex]
7. What is the largest of three consecutive integers whose sum is 39.
A 13
B. 14
C. 17
D. 19
Answers
Expiation: 13 goes into 39 and non others
What is the algebraic expression for y-4
Answers
If f(7) = 22, then
f^-1(22) = [?]
Answers
Answer:
it equals 7
Step-by-step explanation:
its just a rule, there is no step by step solution. if f(x)= y, then f^-1(y) = x
Josefina fue al banco para cambiar un cheque de $5000. La cajera le entregó 39
billetes, unos eran de $100 y otros de $200; ¿Cuántos billetes de $100 y cuantos de
$200 recibió Josefina?
Answers
Respuesta: 28 billetes de 100 y 11 billetes de 200
Explicación paso a paso:
X=39-y
200(39-y)+100y=5000
7800-200x+100y=5000
-100y=2800
Y=2800/100
Y=28 billetes de 100
X=39-28
X=11 billetes de 200
The ratio of pharmacy technicians on duty at the hospital during for the day vs. night shifts is 32:19. 1. Express as a percentage how many pharmacy technician staff work the night shift. Round your final answer as a percentage rounded to two decimal places.
Answers
Answer:
Step-by-step explanation:
168.43%
If my home is 15 ft in length and 20 ft in width what is my house’s height?
Answers
Answer: What grade work this is? Ima help you.
.Step-by-step explanation:
helppppppppppppppppppp
Answers
Answer:
c
Step-by-step explanation:
3a + 2 = 2a + 7
a +2 = 7
a = 5
Answer:
I believe it's A.) [tex]\frac{9}{5}[/tex]
It can though, be C.) 5
I might be wrong about A.
Each day, Martin lifts weights for 10 minutes and runs on the
treadmill for 25 minutes. Write two equivalent expressions and
then find the total minutes that Martin exercises in 7 days.
Answers
Answer:
Martin Exercised 35 minutes in 7 days. Correct me if I'm wrong
Line A is parallel to Line B
9. In the diagram, what is the value of x?
A. 78°
B. 108°
C. 98°
D. 82
Answers
Answer:
D or A
Step-by-step explanation:
17 out of 20 lung deserves are curable; what is the percentage of lung diseases that are curable? Yes, but how did you get that answer
Answers
Answer:
85%
Step-by-step explanation:
This problem can be solved by dividing the number of cured cases by the total number of cases (17/20). In order to verify this you can see what number 20 can be multiplied in order to get 100 (5). You can then multiply this by 17 in order to get the number of cured cases out of 100 (the definition of percent)
You need 4 ounces of cooked sausage per person once the raw sausage is cooked its yields50% how many pounds of raw sausage do you need to make to feed 50 people
Answers
Step-by-step explanation:
step 1. 4/.5 x 50 = 400 ounces needed
step 2. 400 ounces (1 lb/16 oz) = 25 lbs.
25 pounds of raw sausages are required to feed 50 people.
Cooked sausage per person = 4 ounces
Amount of cooked sausage required =
(Number of ounce per person × number of persons)
(4 × 50) = 200 ounces of cooked sausage
Yield of sausage once cooked = 50% of raw of sausage
Hence, to obtain 200 ounces of cooked sausage,
Then ; the amount of raw sausage required will be :
(200 ounces) ÷ 50% = 200 ÷ 0.5 = 400 ounces
Converting ounces to pounds :
1 ounce = 0.0625 pounds
400 ounce = (400 × 0.0625) = 25 pounds
Hence, 25 pounds of raw sausages are required
Learn more : https://brainly.com/question/24397941
On a boat tour there are half as many children as there are adults. There are 30 people on the tour. How many children are there?
Answers
Answer:
10 children
Step-by-step explanation:
A car travels 208 miles in 3 hours and 15 minutes. How many miles does it travel per hour?
Answers
Answer:
64 miles
Step-by-step explanation:
3 hours and 15 minutes = 3.25 hours (since 15 minutes is a quarter of an hour)
so 208 miles in 3.25 hours can be written as
208 miles / 3.25 hrs = 208/3.25 miles/hrs (or miles per hour)
=64 miles per hour
what is the perimeter, in centimeters, of a right triangle that has leg lengths of 8centimeters and 11 centimeters? round to the nearest tenth
Answers
so you can use pythagorean theorem (a^2+b^2=c^2) then you imput your leg values. then solve for c
In March of 2018, a survey asked 801 US adults whether they had at least one subscription to a video-streaming service. Of the 801 participants in the survey, 457 indicated they subscribed to at least one video-streaming service. What is the correct 95 percent confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service?
Answers
Answer:
The 95% confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service is (0.5362, 0.6048).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
Of the 801 participants in the survey, 457 indicated they subscribed to at least one video-streaming service.
This means that [tex]n = 801, \pi = \frac{457}{801} = 0.5705[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5705 - 1.96\sqrt{\frac{0.5705*0.4295}{801}} = 0.5362[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5705 + 1.96\sqrt{\frac{0.5705*0.4295}{801}} = 0.6048[/tex]
The 95% confidence interval for the proportion of all US adults who would say they subscribe to a video-streaming service is (0.5362, 0.6048).
5x(f-29) divided by 7 for f=78
Answers
Answer:
35
Step-by-step explanation:
(5x(78-29))/7=
(5x49)/7=
35
3/5 x 3/5 is equal to 3/5 , since 3/5 is being multiple by a value equal to 3/5 true or false ?
Answers
Myles doesn't want to spend more than $11,000 per month on gate keepers. He hires 12 gate keepers who work an
average of 70 hours per month. What should Myles pay for an hourly rate in order to stay within budget
Answers
Answer:
$13.09 for an hourly rate
Step-by-step explanation:
A checking-account balance is no more than $500. find the
inequality
Answers
Answer:
x <= 500
Step-by-step explanation:
x (how much money) is less than, or equal to $500.
help please brainliest
Answers
Answer:
d.4x - 6
Step-by-step explanation:
Answer:
4x - 6
Step-by-step explanation:
Hope this helps
The sum of three numbers is 10. The first number minus the second plus the third is 6. The first minus the third is 2 more than the second. Find the numbers
Answers
6-2+2=6
6-2=4 and 2 times 2 is 4 so 6-2 is 2 more than the second number which is 2.
So the numbers are 6, 2 and 2.
Howwwwww do I solve this plssssss
Answers
Answer:
Step-by-step explanation:
Fine the missing exponent
Answers
Answer:
hi
Step-by-step explanation:
it is simple
[tex]4 = {2}^{2} [/tex]
have a nice day
Answer:
2^2=4
Step-by-step explanation:
You have to multiply 2, 2 times. hope this helped edge
Which expression is equivalent to
14x-21
7
A. 2x - 21
B. 2x-3
c. 7x - 28
D. 7x - 14
Answers
Answer:
B. 2x-3
Step-by-step explanation:
14 and 21 have a common factor which is 7 so divide both by 7 to get 2x-3.
Answer:b
Step-by-step explanation: took the test
HEGF is a trapezoid
find m
please help & tell me how u got ur answer !! thank u!
Answers
gowositiieieifirii3ieidigkrid
equation for the area of a circle with a diameter of 31.6 cm. Use 3.14 for
[tex]\pi[/tex]
[tex] [/tex]
Answers
Answer:
783.8696
Step-by-step explanation:
The way to find the area of a circle is to find the radius, multiply it by itself, then multiply by pi. The diameter is double the radius so we have to divide the diameter by 2 to find the radius. 31.6/2 is equal to 15.8, and if we plug it into our formula, we can find that the area is 15.8 * 15.8 * pi, and since we use 3.14 for pi, the area is 15.8 * 15.8 * 3.14. We can use a calculator for this part and find that the area of this circle is 783.8696.
Area of a circle is PI x r^2
You are given the diameter, the radius is half the diameter:
Area - PI x 1/2(diameter)^2
Area = 3.14 x 1/2(31.6)^2
Area = 3.14 x 15.8^2
Area = 3.14 x 249.64
Area = 783.8696 sq. cm. ( Round answer as needed)