Use the Law of Cosines to determine the indicated side x. (Assume a = b = 20. Round your answer to one decimal place.)
x =
Answers
Answer:
37.6
Step-by-step explanation:
x² = a² + b² - 2ab cos 140°
x² = 20² + 20² - 2(20)(20)(-0.766)
x² = 400 + 400 - 800(-0,766)
x² = 800 - (-612.835)
x² = 800 + 612.835
x² = 1412.835
x =√1412.835 = 37.6
The value of x is 37.6.
We have,
The Law of Cosines states:
[tex]c^2 = a^2 + b^2 - 2ab * cos(C)[/tex]
Where c represents the length of the side opposite angle C, and a and b represent the lengths of the other two sides.
The angle C is the angle opposite side c.
Now,
We can apply the law of cosines in the given figure.
x² = a² + b² - 2ab Cos 140
Now,
a = b = 20
So,
x² = a² + b² - 2ab Cos 140
x² = 20² + 20² - 2 x 20 x 20 x Cos 140
x² = 400 + 400 - 800 Cos 140
x² = 800 - 800 x - 0.77
x² = 800 + 616
x² = 1416
x = 37.63
x = 37.6
Thus,
The value of x is 37.6.
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Related Questions
Which represents the value of c?
Answers
Answer:
Step-by-step explanation:
you are given the law of sines, in the question, so i'm guessing you don't get "law of sines" ???
some times I think people might just be lazy and they don't try, but I can understand if you really don't get "law of sines' b/c it is kinda abstract.
Any way here is how you solve this problem and please ask if you don't understand about something I do to solve this. Ask about it if you don't get it. :)
Sin(45) / c = Sin(45) / 3
now algebraically solve for c
3* Sin(45) / Sin(45) = c
if you're thinking the answer is 3 you're right.
indecently , if you didn't notice, this is an isosceles triangle and they do have the same length legs. so you know that x = 3 right away from that, but, it's good to understand Law of Sines as well. :)
Helena has probability 1/3 of hitting a target with an arrow; Marco has probability of 2/5. If they fire at the target, determine the probability that
a. both hit the target
b. both miss the target
c. Helena hits the target and Marco misses it
d. Helena misses the target and Marco hits it
Answers
given polynomials p, q, r, and s . q≠0 ,s≠0 and r≠0
Answers
Answer:
[tex]\frac{p}{q} \div \frac{r}{s} = \frac{ps}{qr}[/tex]
Step-by-step explanation:
Given
[tex]\frac{p}{q} \div \frac{r}{s} =[/tex]
Required
Solve
[tex]\frac{p}{q} \div \frac{r}{s} =[/tex]
Turn division to multiplication
[tex]\frac{p}{q} \div \frac{r}{s} = \frac{p}{q} * \frac{s}{r}[/tex]
[tex]\frac{p}{q} \div \frac{r}{s} = \frac{ps}{qr}[/tex]
Vertical/supplementary/Complementary Angles (Algebraic)
Answers
the angle measurements are 97°, 97°, 83°, 83°. is this what you were looking for? here’s the work on how i got this:
97= 8t+1
subtract 1 from both sides
96=8t
divide both sides by 8
12=t
because 97 and 8t+1 are vertical angles, they are automatically equivalent.
to find the other angles, you would do
180-97=83
the last angle is 83° because it is a vertical angle to the other 83° angle.
if this helped please mark brainliest and if you need more to this answer or more of an explanation lmk
Which function is not the same as the other three?
Answers
A park bench is 2½ yards long and ⅓ yard deep. How many square yards is its sitting area?
Answers
Answer: 1.4259
Explanation: Square 2 1/2 comes up with 6 1/4 then square root that then multiply by 1/3
Help with this due today
Answers
what is the quotient of 3/20 of 10 is divided by 5/10 of 6/14?
Answers
Answer:
30
Step-by-step explanation:
6/10 of 20 is 12
7/14 of 12/15 is 1/2 of 4/5 which is 2/5
so you have to compute 12 ÷ 2/5 which is done as 12 times (5/2) which is 30.
Maria decides to increase her homework time of 8 hours per week by 15% Calculate her new homework time. Give your answer in hours and minutes
Answers
Answer:
Maria's homework time is now 9 hours 12 minutes.
Step-by-step explanation:
Since Maria decides to increase her homework time by 15%.
Then,
15% of 8 hours = [tex]\frac{15}{100}[/tex] x 8 hours
= 0.15 x 8 hours
= 1.2 hours
(Note that: 1.2 hours = 1 hour 12 minutes)
15% of 8 hours = 1 hour 12 minutes
her new homework time = 8 hours + 1 hour 12 minutes
= 9 hours 12 minutes
Maria's homework time is now 9 hours 12 minutes.
WILL GIVE BRAINLIEST!!
please help meee the question is in the picture
Answers
Answer:
The answer is 6cm
Step-by-step explanation:
HEEEEEEEEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
3(8+17)
Step-by-step explanation:
Since the gas prices are the same, we need to find a number that divides into both 24 and 51.
The factors of 24 are 1,2,3,4,6,8,12,24.
The factors of 51 are 1,3,17,51.
So, their common factor is 3. Price of gallon of gas = $3
Now we know the price, we can divide each total by 3 to find out how many each person bought.
One person bought $24 of gas: 24/3 = 8: They bought 8 gallons of gas
Another person bought $51 of gas: 51/3=17: They bought 17 gallons of gas
Represented as an expression, this is:
3(8+17)
Answer:
the correct answer to this is 3(8+17)
Helpp I’ll give brainilest to whoever answers first
Answers
Answer:
89
Step-by-step explanation:
5nttddddddddddddddddddddd
Two stores carry a similar stereo for the same original price and
$573. Store A offers a 25% discount and the Store B sells the
stereo for $446.94. Which store gives the bigger percent
discount? Justify your answer by determining the sale price for
each store.
Answers
Answer:
Store A gives $17.19 more off then Store B
Step-by-step explanation:
573.00 x 25% = 143.25
573.00-143.25 =429.75 Store A
Store B is 446.94
What relationship do you think is shown in the graph below ?
Answers
Answer:
Un helado
Step-by-step explanation:
Answer:
Linear
Step-by-step explanation:
As the temperature goes up, the sales for ice cream go up, so it is a linear relation.
If you find it is helpful plz give Brainliest.
Mitch throws a ball over A 20 foot fence to a baseball field. The height, H, of the ball at the time T seconds after it was the round can be modeled by the equation H(t)=16^2 + 30t+6
which statement is true?
Answers
Answer:
(a) At 1.5 seconds, the ball is 15ft high
Step-by-step explanation:
Given
[tex]Fence:= 20ft[/tex]
[tex]h(t) := -16t^2 + 30t + 6[/tex]
Required
Select the true statement
See attachment for options
Option (a): At 1.5 seconds, the ball is 15ft high
This implies that:
[tex]t = 1.5[/tex]
Substitute [tex]t = 1.5[/tex] in [tex]h(t) := -16t^2 + 30t + 6[/tex]
[tex]h(1.5) = -16 * 1.5^2 + 30 * 1.5 + 6[/tex]
[tex]h(1.5) = -16 * 2.25 + 45 + 6[/tex]
[tex]h(1.5) = -36 + 45 + 6[/tex]
[tex]h(1.5) = 15[/tex]
This statement is true.
Because: [tex]h(1.5) = 15[/tex] means that:
At 1.5 seconds, the ball is 15ft high
Other options will not be checked because only one option can be correct
which slope represents a like that passes through (4, 1/3) and has a slope of 3/4
Answers
Answer:
Answer is in her photo
Step-by-step explanation:
i dont remember need the points though
what's the denominator of 75/? if 30/42
Answers
Answer:
The answer is 42 there you go
Step-by-step explanation:
A shopkeeper paid $90 for 90 apples. He sold half of them for $3 each and the rest at $1 each.
Answers
Answer:
either $180 or $90?
Step-by-step explanation:
first i think you divide 90 by 2, which gives you 45. multiply 45 by 3, which is 135, then multiply 45 by 1, which is just 45. add those together and you get 180. i'm not too sure what you're looking for in the question, but if you're looking for the difference between what he bought them for, it'd be $90. if youre looking for how much he got from those apples, it's $180. hope that helps :)
If the legs of a right triangle measure 10 meters and
24 meters, how long is the hypotenuse?
Answers
Answer:
26 meters
Step-by-step explanation:
Gerry wants to construct a triangle with segments that are 4, 6, and 11 inches long. Is his triangle possible? Explain how you know.
Answers
Answer:
IT IS NOT POSSIBLE
Step-by-step explanation:
4+6<11
Answer:
Step-by-step explanation:
Not possible. 11 > 4+6
Which expression is equivalent(equal to) to
(10+77-12)+(-672-18+51) HELPPPPP
Answers
(10+77-12)+(-672-18+51)
(87-12)+(-690+51)
75+(51-690)
75-639
-564
---
hope it helps
NEED ANSWERS PLEASE!
Which statement is true?
A)
Company l's rate per pound is twice the rate per pound of
Company 2.
B)
Company 2's rate per pound is twice the rate per pound of
Company 1.
© Company. 1's fixed fee is twice the fixed fee of Company 2.
D Company 2's fixed fee is twice the fixed fee of Company 1.
Answers
A man's estate is valued at $150,000. It is to be divided so that his wife receives twice as much as his son. How much does his son inherit
Answers
Answer:
50,000
Step-by-step explanation:
9=x/12
What is x
I will give brainliest if correct
Answers
Select the correct answer.
A company is analyzing whether its employees prefer to skip their lunch break and leave a half-hour early each day or take a lunch break and
leave at the normal time each day. It conducts an observational study to determine which option is selected more often. At the end of the first
week, the company finds that the majority of employees prefer to skip their lunch break and leave a half-hour early each day.
The company then repeats the observational study for 10 more weeks. The study yields the same results for only five of the weeks. What
generalization can be made from the results of this study?
A. The sample is biased; therefore, a generalization cannot be made regarding which option is selected more often.
B. The majority of employees prefer to skip their lunch break and leave a half-hour early.
C. The results are inconclusive; therefore a generalization cannot be made regarding which option is selected more often.
D. The majority of employees prefer to take a lunch break and leave at the normal time each day.
Answers
Answer:
The results are inconclusive; therefore a generalization cannot be made regarding which option is selected more often.
Please give me brainliest, I really need it.
A single die is rolled. Find the probability of getting an odd number or a number less
than 5.
Answers
Answer:
Answer:Rolling a odd number is 1/5 and rolling a number less than five is 3/5
Step-by-step explanation:
giving brainliest !! *easy*
Answers
Answer: 49
Step-by-step explanation:
The missing constant term in the perfect square is 49.
x^2 + 14x + 49
We need a squart root of something to make the factor add up equal to 14x. If it's a perfect square, we could divide 14 by 2, 14/2 = 7, and we multiply 7^2, we get 49, which is a perfect square.
Which expression is equivalent to 9 Superscript 5?
9 times 5
5 times 5 times 5 times 5 times 5 times 5 times 5 times 5 times 5
9 times 9 times 9 times 9 times 9
9 times 9 times 9 times 9 times 9 times 5 times 5 times 5 times 5 times 5 times 5 times 5 times 5 times 5
Answers
Answer:
9 x 5
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 5^9
9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 x 9 = 9 ^ 10
5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 5^9
5^9 x 9^10 x 5^9
5^18 x 9^10
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
What is the measure of Zx ?
60°
75
20°
Answers
Answer:
135°
Step-by-step explanation:
angle x spans throughout two angles, 75° and 60°, so it is the sum of the two. It could not be any of the answers you gave.
John and his dad decide to order a pizza to eat while they are watching a World Cup Soccer game. John eats 2/5 of the pizza, and his dad eats 3/7 of the pizza. How much of the pizza is left for John's mom to eat?
Answers
The amount of pizza left will be 6 / 35.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that John and his dad decide to order a pizza to eat while they are watching a World Cup Soccer game. John eats 2/5 of the pizza, and his dad eats 3/7 of the pizza.
The amount of pizza left will be calculated as below:-
Pizza left = 1 - ( 2/5) - (3/7)
Pizza left = ( 35 - 14 - 15 ) / 35
Pizza left = 6 / 35
Therefore, the amount of pizza left will be 6 / 35.
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