Answers
Answer:
[tex]\displaystyle 21 \approx c[/tex]
Explanation:
Solving for Angles
[tex]\displaystyle \frac{a^2 + b^2 - c^2}{2ab} = cos\angle{C} \\ \frac{a^2 - b^2 + c^2}{2ac} = cos\angle{B} \\ \frac{-a^2 + b^2 + c^2}{2bc} = cos\angle{A}[/tex]
Do not forget to use [tex]\displaystyle arccos[/tex] or [tex]\displaystyle cos^{-1}[/tex]towards the end, or the result will be thrown off.
Solving for Edges
[tex]\displaystyle b^2 + a^2 - 2ba\:cos\angle{C} = c^2 \\ c^2 + a^2 - 2ca\:cos\angle{B} = b^2 \\ c^2 + b^2 - 2cb\:cos\angle{A} = a^2[/tex]
Take the square root of the result in the end, or you will throw yourself off.
Well, let us get to work:
[tex]\displaystyle 13^2 + 29^2 - 2[13][29]cos\:41 = c^2 \\ 169 + 841 - 754cos\:41 = c^2 \\ 1010 - 754cos\:41 = c^2 \\ \\ \sqrt{440,94897651...} = \sqrt{c^2} \\ 20,99878512... = c \\ \\ \boxed{21 \approx c}[/tex]
I am joyous to assist you at any time.
Related Questions
Given the points M = (8, 4, –3) and N = (–12, 6, –7), find Vector M N. in component form.
Vector M N = LeftAngleBracket 4, negative 10, 10 RightAngleBracket.
Vector M N = LeftAngleBracket negative 4, 10, negative 10 RightAngleBracket.
Vector M N = LeftAngleBracket 20, negative 2, 4 RightAngleBracket.
Vector M N = LeftAngleBracket negative 20, 2, negative 4 RightAngleBracket.
Answers
Considering the points M and N, the vector MN is component form is given by:
MN = [-20, 2, -4]
How to find a vector given two end-points?
The vector is given by the subtraction of the coordinates of the endpoint by the coordinates of the start point.
In this problem, for vector MN, we have that:
The endpoint is N = (–12, 6, –7).The start point is M = (8, 4, –3).Hence:
MN = N - M = [-12 - 8, 6 - 4, -7 - (-3)] = [-20, 2, -4]
More can be learned about vectors at https://brainly.com/question/25706129
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Answer:
D on edge ( MN = (-20, 2 , -4)
Step-by-step explanation:
i need help with this algebra
Answers
Answer:
m=1
Step-by-step explanation:
y2-y1
-------- = y/x for slope
x2-x1
m =
y = 4-1
x= -2-(-5)
m (slope) = 3/3
m (slope) = 1
Can somebody help me with this it's the last question and i'm somehow very confused
Answers
Because based on the graph u see that for 1 tablespoon you have 3 teaspoons and for 2 tablespoons you have 6 teaspoons, for 3 tablespoons you have 9 teaspoons e.t.c.
1 x 3 = 3
2 x 3 = 6
3 x 3 = 9
So it’s just no. of tablespoons x 3 = no. of teaspoons
Hope this helped :)
factored form of x² - 2xy – 24y^2
Answers
Anna surveyed 300 of the students in her school about their favorite color. 186 students said their favorite color was red. What percentage of the surveyed students said their favorite color was red
Answers
Answer:
62 %
Step-by-step explanation:
186 out of 300
186/300 = .62 this represents 62%
Please any math experts can help me convert this thank you so much
Answers
Step-by-step explanation:
First comes the turn of 5 / 9
Lets see how it is done
1 covert it to decimal by division
By division we get 0.555555555
2 now converting it to percentage by multiplication
Multiply 0.55555555 by 100
We get 55.555555 this the percent form
Same process can be repeated to get the answer to second part
PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE
I need help pls with this
Answers
Answer:
1. Music note: (0,-7)
2. circle: (-1,-4)
3. lightning: (3,-7)
4. cross : ( -5, -7)
5. moon: (-8, 10)
6. diamond : (-5,-1)
7. star: (7,-3)
8. heart: (6,-8)
9. square: (2,0)
10. triangle : (-3,0)
Step-by-step explanation:
11. No
12; yes, "G" is at the coordinate (2,-2)
13. Yes, "D" is at the coordinate (-3,9)
14. yes, "H" is at the point (5,4)
15. Yes, "J" is at the point (8,8)
16. yes, "A" is at the point (3,7)
17. Yes, "C" is located at the point (4,-5)
18. yes, "B" is located at the point (10,-10)
19. Yes, "K" is located at the point (9,-6)
20. No
(5/4 × 54/48) + (5/4 × 105/75)
Answers
101/32 or 3 5/32 or 3.15625
(5/4 × 54/48) = 45/32
(5/4 × 105/75) = 7/4
7/4 x 8 top & bottom =56/32
45+56=101
Hope this helps!
what is the area of the figure
Answers
Answer:
Explanation:
So you want to start by finding the area of the big square.
We know the width of the big square is 60cm. The length of the big square is
19
+
24
+
13
=
56
Big square
A
r
e
a
=
L
⋅
W
=
56
⋅
60
=
3360
Now let’s find the little square inside the bigger square. We see from the picture that the width is 34 and the length is 24cm. Using the same formula, we can find the area of the little square.
Little square
A
r
e
a
=
L
⋅
W
=
24
⋅
34
=
816
The area is enclosed in the area of the big square minus the area of the little square.
3360
−
816
=
2544
So the area enclosed is
2544
c
m
2
Step-by-step explanation:
2x+(4x-2)+2(x+7)
I'll give one-hundred points
Answers
Answer:
the solution is
4(2x+3)
Step-by-step explanation:
Pls help me I am confused on what to do to solve it
Answers
Explanation: You take the length and width of every rectangle and multiply each of them. For example, the top rectangle has a length of 5 in and a width of 2. You multiply them to get 10. That is the area of the top rectangle. Then you do that for the rest of them and add them all together.
Leaf U. Allone needs to borrow $120,000 from his local bank for the home he is buying. The bank offers a 30 year mortgage at an APR of 6.5%.
A) How many monthly payments would it take to pay off the 30 year loan?
B) What is her monthly payment on the 30 year loan?
C) What is the total paid to the bank over 30 years?
D) How much of that is interest?
Answers
Answer:
A) It would take 360 monthly payment to pay of the 30-year loan.
B) Her monthly payment would be $650.
C) The total paid back to bank over 30 years would be $234,000
D) The total amount of interest was $114,000 (95% interest back to the bank after 30 years).
Step-by-step explanation:
6.5 percent *120000 =
(6.5:100)*120000 =
(6.5*120000):100 =
780000:100 = 7800
6.5% of 120,000 is 7,800.
Every year Leaf U. Allone has to pay $7,800 to the bank.
12 months in a year.
7,800 ÷ 12 = $650
Every month Leaf U. Allone has to pay $650 to the bank.
Over 30 years of paying 7,800
Multiply 7,800 * 30
= $234,000
To find the interest,
subtract 120,000 from 234,000
= $114,000 in interest.
Meaning the home value went up.
6. A circle has a circumference whose length is 25pi . Find the length of an arc whose
central angle is 90°.
Answers
Answer:
So, A 90° central angle cuts off an arc which has length 90/360 = 1/4 of the circumference. Therefore, length of arc = (1/4)(25π) = 25π/4.
Step-by-step explanation:
espero te sirva
Can someone explain question number 8
Answers
the poem says the bird (hope) "perches in the soul" meaning that it's always there.
the answer is that hope lives in your soul. its always there, and you can always feel it, and it just exists. it doesn't need to be justified or explained, it's a feeling. and it doesn't ask for anything in return, its there when you need it. (try to rephrase this, don't copy it word for word, i'm just trying to explain it to you)
hope this helps!! :)
Determine the probability of having 1 girl and 3 boys i a 4 child family assuming boys and girls are equally likely
Answers
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Im glad i could help out.
Which of the following could be the lengths of the sides for a triangle that is
similar to the one shown?
12
16
24
O A. 16, 18, and 48
OB. 12, 24, and 48
OC. 4, 6, and 14
D. 6, 8, and 12
Answers
Answer:
D
Step-by-step explanation:
The scale factor would be x1/2
12÷2=6 16÷2=8 24÷2=12
Answer:
D. don't know how? but the answer is in no.D
Step-by-step explanation:
divided 2
the sides of a triangle are 54,31,and 69. use the phone ythagorean theorem to determine if the triangle is right acute or obtuse.
Answers
Answer:
obtuse
Step-by-step explanation:
a² + b² = c²
Let's use the two shorter sides as legs.
a² + b² = 31² + 54² = 961 + 2916 = 3877
c = √3877 = 62.2655...
For the triangle to be a right triangle, the third side would have to have a length of 62.2655. The actual length of the third side is 69. 69 is greater than 62.3, so the angle between the sides 31 and 54 must be greater than 90°. Therefore the triangle is an obtuse triangle.
Consider the function
f(x) = x² ln(x)
Find the second derivative and use it to calculate f''(1). Type your answer in the space below.
Answers
Answer:
y'=(1/x^2-3/x^4)*(1+15x^2)+(-2/x^3+12/x^5)(x+5x^3)
Step-by-step explanation:
We know that (x2)′=2x and that (ln(x))′=1x, soOr, putting x in evidence
Kellie has built her savings account to $7,800. She is transferring it to an account that earns 5.5% interest, compounded monthly. What will the balance of the account be in 16 years?
Answers
Answer:
Kellie has built her savings account to $7,800. She is transferring it to an account that earns 5.5% interest, compounded monthly. What will the balance of the account be in 16 years?
Step-by-step explanation:
How did u find 12? Because In my answer choices it doesn’t have 12
Answers
Answer:
Salamat sa puntosStep-by-step explanation:
filipino akoA bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape. What is the probability that both grapes are red? about 39.7% about 41.5% about 42.5% about 44.5%
Answers
Answer:
About 41.5%
Step-by-step explanation:
Given:
A bowl has 8 green grapes and 15 red grapes. Henry randomly chooses a grape, eats it, and then chooses another grape.
To Find:
What is the probability that both grapes are red?
Answer choices:
about 39.7%
about 41.5%
about 42.5%
about 44.5%
Solution:
Since, there are 8 green grapes and 15 red grapes, the total number of grapes is 23 .
As the red grapes are 15..
Thus,
The probability of choosing a red grape the first time is 15/23.
Because out of the total 23 grapes only 15 were red grape.
The probability of choosing the red grape the second time will be 14/22. Because the number of red grapes has already decreased by one and so is the total number of grapes after first choice
Hence, the probability of choosing or eating two red grapes will be :
15/23×14/22
=105/253
=0.415
= 41.5%
Therefore, the probability that both grapes are red is about 41.5%
Kavinsky
You're really good at investing
Answers
Answer:
What do you mean by "You are really good at investing" ?
Step-by-step explanation:
a regular polygon has 33 sides find the size of each interior angle
Answers
Answer:
169.09 degrees
Step-by-step explanation:
Interior Angle of a polygon with 33 sides = (n-2) x 180/n degrees = (33-2) x 180/33 degrees = 169.09 degrees
33 sides
to find:the size if each interior angle.
solution:[tex] \frac{360}{33} [/tex]
[tex] = 10.91[/tex]
[tex]180 - 10.91[/tex]
[tex] = 169.09[/tex]
[tex] \frac{169.09}{33} [/tex]
[tex] = 5.12[/tex]
hence, the size of each interior angle is 5.12°
A purse contains $7.60 in quarters and dimes. In all, there are 40 coins. How many of each kind are there?
I NEED 2 EQUATIONS!!!!!!!
Answers
x+y=40.
pls help me plss i beg
Answers
Answer:
A
Step-by-step explanation:
Just under means smaller than since < means smaller than. And the smaller than or equal sign doesn't make since because the price was just under.
The annual number of burglaries in a town rose by 50% in 2012 and fell by 10% in 2013. hence the total number of burglaries increased by 40% over the two year period.
a. by what percent has the number of burglaries actually changed in the two-year period?
b. by what percent would the crime have to decrease in the second year in order for the change over the two-year period to actually be a 40% increase?
Answers
Answer:
a) 35%
b) 6.67%
Step-by-step explanation:
a) The annual number of burglaries in 2012 would be 150% and since in 2013, it fell by 10%:
10% of 150 is 15 so 150-15 = 135%.
The actual percentage increase of burglaries is 135% - 100% = 35% not 40%.
b) In the second year, the percentage would have to decrease by 10% of the initial 150% so [tex]\frac{10}{150}[/tex] = [tex]\frac{1}{15}[/tex] which as a percentage would be 6.66666....% or 6.67%.
The number of burglaries actually changed in the two-year period will be 35% and the crime have to decrease in the second year in order for the change over the two-year period to actually be a 40% increase will be 6.7%
BurglariesIt is act of breaking and entering a dwelling at night to commit a felony such as theft.
How to solve this problem?The steps are as follow:
Let us assume that the annual number of burglaries in 2011 are 100. After that there is 50% increase in 2012 so the number of burglaries will be: 100(1.50) = 150.Burglaries after the 10% reduction in 2013 would be: 150(.90) = 135So there will be change in burglaries over the two-year period = (135 / 100) - 1 = 35% To know how much burglaries would have to reduce in order to have a 40% change in burglaries we would be using the following formula:(x - 100) / 100 = 0.40
x - 100 = 40
x = 140
Change in burglaries over the two-year period to have 40% increase = (140 / 150) - 1 = 6.7%So, burglaries after the 10% reduction in 2013 would be 35% and change in burglaries over the two-year period to have 40% increase will be 6.7%.
Learn more about burglaries here:
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Which is more, 5,999 pounds or 3 tons?
Answers
Answer:
3 tons
Step-by-step explanation:
1 ton = 2000 pounds
3 x 2000= 6,000 pounds
6000 > 5999
-10 -9 -8 7 Slope of the Line: Click twice to plot each segment. Click a segment to delete it. y -6 5 3 2 -1 10 9 8 7 6 5 J 2 -8 -10 Submit Answer 3 4 5 16 7 8 O 10
Answers
Answer:
1/2
Step-by-step explanation:
The slope of a line is the ratio of "rise" to "run".
__
This line goes through grid intersections at (0, -7) and (2, -6), a rise of 1 unit for a run of 2 units to the right. The slope is ...
slope = rise/run = 1/2
28/100 = ?/10 + 8/100. this is the second time i asked i need help on my work
Answers
Answer:
2/10
Step-by-step explanation:
28/100 - 8/100 = 20/100 = 2/10
1. The final scores from the last five games of two basketball teams are given.
Jumping Jackrabbits: 70, 65, 72, 80, 73
Leaping Lizards: 61, 47, 70, 63, 54
(a) Determine the MAD of each data set. In your work, show the mean and the absolute deviation of
each data value in each set.
(b) Compare and interpret the MADs in context of the situation.
Answer:
Answers
Using it's concept, it is found that:
a) For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.
b) Due to the higher value of the MAD, the Leaping Lizards have less consistent scores than the Jumping Jackrabbits.
What is the mean absolute deviation of a data-set?The mean of a data-set is given by the sum of all observations divided by the number of observations.The mean absolute deviation(MAD) of a data-set is the sum of the absolute value of the difference between each observation and the mean, divided by the number of observations.The mean absolute deviation represents the average by which the values differ from the mean.Item a:
For the Jumping Jackrabbits, the mean and the MAD are given by:For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.
M = (70 + 65 + 72 + 80 + 73)/5 = 72
MAD = (|70 - 72| + |65 - 72| + |72 - 72| + |80 - 72| + |73 - 72|)/5 = 3.6.
For the Leaping Lizards, the mean and the MAD are given by:
M = (61 + 47 + 70 + 63 + 54)/5 = 59
MAD = (|61 - 59| + |47 - 59| + |70 - 59| + |63 - 59| + |54 - 59|)/5 = 6.8.
For the Jumping Jackrabbits, the MAD is of 3.6 and for the Leaping Lizards, the MAD is of 6.8.
Item b:
Due to the higher value of the MAD, the Leaping Lizards have less consistent scores than the Jumping Jackrabbits.
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