Mathematics College

Please help me with solving for x

Answers

Answer 1

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

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]

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).

please help me ASAP thank you

Answers

Answer:

Step-by-step explanation:

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:

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

Fine the missing exponent

Answers

Answer:

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

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:

Howwwwww do I solve this plssssss

Answers

Answer:

Step-by-step explanation:

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:

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

13.6

so you can use pythagorean theorem (a^2+b^2=c^2) then you imput your leg values. then solve for c

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

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%

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

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:

D or A. STEP BY STEP EXPLANATION btw

helppppppppppppppppppp

Answers

Answer:

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.

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

help please brainliest

Answers

Answer:

d.4x - 6

Step-by-step explanation:

Answer:

4x - 6

Step-by-step explanation:

Hope this helps

200 cm and 200 dm which one is bigger

Answers

Answer

200 DM

Hope this helps

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.

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)

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

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

5x(f-29) divided by 7 for f=78

Answers

Answer:

Step-by-step explanation:

(5x(78-29))/7=

(5x49)/7=

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

False, because any number multiplied by a number lower than 1 will always be less than the original number

HEGF is a trapezoid
find m
please help & tell me how u got ur answer !! thank u!

Answers

gowositiieieifirii3ieidigkrid

What is the algebraic expression for y-4

Answers

if y has value greater than 4 we will have negetive value if y has value less than 4 we will have positive value

7. What is the largest of three consecutive integers whose sum is 39.
A 13
B. 14
C. 17
D. 19

Answers

The answer would be A not 100% sure

Answer: A 13
Expiation: 13 goes into 39 and non others

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)

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

This is an answer I wrote last year check it out I have it in my progress

6+2+2=10
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.

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

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