Answers
Answer:
a ≈ 22.184
Step-by-step explanation:
Using the Cosine rule in Δ ABC
a² = b² + c² - 2bc cosA
Here b = 15, c = 12 and A = 110° , then
a² = 15² + 12² - (2 × 15 × 12 × cos110° )
= 225 + 144 - 360 cos110°
= 369 - 360 cos110°
= 492.12725.. ( take the square root of both sides )
a = [tex]\sqrt{x492.12725}[/tex] ≈ 22.184 ( to 3 dec. places )
Related Questions
how do i include a screenshot
Answers
There will be a nail clip tool when you press the + button. Then you will be able to access your file you need to enter.
The building on Daughtery road are even numbered from 12-136. How many buildings have an address with at least one 4?
Answers
Answer:
Total 22 buildings have at least one 4 in their address
Step-by-step explanation:
Number between 12 to 136 are as given below -
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
Total numbers having at least 1 four are
14
24
34
40
41
42
43
44
45
46
47
48
49
54
64
74
84
94
104
114
124
134
Total 22 buildings have at least one 4 in their address
You deposit $100 in your bank account. The account earns 2% simple interest in 5 years. How much interest did you earn?
Answers
Which expression is equivalent to 34(4h - 6)?
) 3h -92
) 4h +92
) 3h - 6
) 4h + 6
Answers
Answer:
Step-by-step explanation:
136h-24 which is not listed in your choices
The net below is used to form a rectangular prism. Using the net, determine the surface area of the figure.
7 cm
7 cm
7 cm
7 cm
26 cm
Answers
Step-by-step explanation:
54 because you add 7+7+7+7+26=54
The fuel mix for a small engine contains only 2 ingredients: gasoline and oil. If the mix requires 5 ounces of gasoline for every 6 ounces of oil, how many ounces of gasoline are needed to make 33 ounces of fuel mix?
Answers
Answer:
15
Step-by-step explanation:
(brainiest)
Please look at the screenshot
Answers
Given:
The figure of circle E. [tex]m\angle ABD=(11x-3)^\circ,m\angle ACD=(8x+15)^\circ[/tex].
To find:
The measure of arc AD.
Solution:
We know that the inscribed angles on the same arc are congruent and their measures are equal.
[tex]\angle ABD[/tex] and [tex]\angle ACD[/tex] are inscribed angles on the same arc AD. So,
[tex]m\angle ABD=m\angle ACD[/tex]
[tex]11x-3=8x+15[/tex]
[tex]11x-8x=3+15[/tex]
[tex]3x=18[/tex]
[tex]x=6[/tex]
Now,
[tex]m\angle ABD=(11x-3)^\circ[/tex]
[tex]m\angle ABD=(11(6)-3)^\circ[/tex]
[tex]m\angle ABD=(66-3)^\circ[/tex]
[tex]m\angle ABD=63^\circ[/tex]
We know that the intercepted arc is always twice of the inscribed angle.
[tex]m(Arc(AD))=2\times m\angle ABD[/tex]
[tex]m(Arc(AD))=2\times 63^\circ[/tex]
[tex]m(Arc(AD))=126^\circ[/tex]
Therefore, the measure of arc AD is 126 degrees.
what is the correct form of the partial fraction decomposition for: start fraction 35-27x over 4xsquared+28x endfraction
Answers
Answer: The answer is A
Step-by-step explanation:
A/4x+B/x+7
The correct form of the partial fraction decomposition for the given expression is Option A
What is Partial Fraction Decomposition ?Partial Fraction Decomposition is the method of simplifying rational expressions.
The expression given is
[tex]\rm \dfrac{ 35-27x} { 4x^2+28x}[/tex]
Applying Partial Decomposition
[tex]\rm \rm \dfrac{ 35-27x} { 4x(x+7)}\\\\\\\dfrac{35}{4x(x+7)} - \dfrac{27x}{4x(x+7)}\\\\\\Taking \;A = 35/ x+7\\\\Taking \; B = -27/4\\\\[/tex]
It can be written as
[tex]\rm \dfrac{A}{4x} + \dfrac{B}{x+7}[/tex]
Therefore Option A is the answer.
To know more about Partial Factor Decomposition
https://brainly.com/question/2516522
#SPJ2
X - 2y = -3
2x + y = -1
Answers
Answer:
y = 1
x = -1
Step-by-step explanation:
x - 2y = -3, then x = 2y - 3
2x + y = -1
substitute for x:
2(2y - 3) + y = -1
4y - 6 + y = -1
5y = 5
y = 1
x = 2 - 3 = -1
Answer:
it can only be simp[lified
so it will be
(x+2x)+(y+2y)=-3-1
3x+3y=-4
cannot be solved further
Step-by-step explanation:
Lauren is booking a band and a DJ for a dance, and wants to keep the cost of the
entertainment under $1,300. A band can play for part of the time at an hourly rate of $120,
and a DJ can play for the remaining time at an hourly rate of $92.
Select the inequality in standard form that describes this situation. Use the given
numbers
and the following variables.
x = the number of hours the band will play
y = the number of hours the DJ will play
Answers- A 120+x+92+y>1,300
B: 120x+92y>1,300
C: 120x+92y<1,300
D: 120+x+92+y<1,300
Answers
Answer:
C: 120x+92y<1,300
Step-by-step explanation:
Since the band plays at an hourly rate of $120 for x hours, the total cost of the band playing is 120x.
Also the DJ can play for the remaining time at an hourly rate of $92 for y hours, the total cost of the band playing is 92y
The total cost of the band is DJ playing is thus 120x + 92y.
Since we require this to be under $1,300, we us the less than sign '<' to show the relation.
So, 120x + 92y < 1300
So, the answer is C
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Answers
Step-by-step explanation:
try to factor them anx than set each bracket to 0 the negative one would not work
Answer:
5(−x−2)(x−7)
Step-by-step explanation:
Help me with this, will give brainlist to best explained asnwer
Answers
Answer:
I'd say the mode, 21, is the best response. It appears the most frequently and it's also the median.
Explanation:
Mean: 115 / 5 = 23
Median: 19, 21, 21, 26, 28
Mode: 19, 21, 21, 26, 28
A sphere has a volume of 1,436 in3. What is its radius?
Answers
Answer:
do the reverse of pie r squared
Step-by-step explanation:
the greatest common factor of 9w2 and 10w4.
Answers
Answer:
9 and 2: 1
10 and 4: 2
Step-by-step explanation:
9: 1, 3, 9
2: 1, 2
Answer: 1
10: 1, 2, 5, 10
4: 1, 2, 4
Answer: 2
A group of children bought 3 presents that cost $W each and a card that cost $200. The children shared the total cost equally. Express the amount of money each student paid in terms of W
Answers
Answer:
Amount of money paid by each student is equal to [tex]\$3W+\$200[/tex]
Step-by-step explanation:
Given: A group of children bought [tex]3[/tex] presents that cost [tex]\$W[/tex] each and a card that cost [tex]\$200[/tex].
To find: amount of money each student paid in terms of [tex]W[/tex]
Solution:
Cost of each present [tex]=\$W[/tex]
Cost of [tex]3[/tex] presents [tex]=\$3W[/tex]
Cost of a card [tex]=\$200[/tex]
Therefore,
Amount of money paid by each student in terms of [tex]W[/tex] = Cost of [tex]3[/tex] presents + Cost of a card
[tex]=\$3W+\$200[/tex]
Solve for n. 11(n – 1) + 35 = 3n n = –6 n = –3 n = 3 n = 6
Answers
Answer:
n = -3
Step-by-step explanation:
11(n – 1) + 35 = 3n
11n - 11 + 35 = 3n
24 = -8n
n = -3
The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.
What percent of the scores were below 66?
What is the probability that a student earned a score between 66 and 86?
Answers
Answer:
a) 15.866%
b) 0.68268
Step-by-step explanation:
The scores for all the sixth graders at Roberts School on a statewide test are normally distributed with the mean of 76 and a standard deviation of 10.
We solve the above question using z score formula
= z = (x-μ)/σ, where
x is the raw score
μ is the population mean = 76
σ is the population standard deviation = 10
a) What percent of the scores were below 66?
x < 66
Hence,
z = 66 - 76/10
z = -1
Probability value from Z-Table:
P(x<66) = 0.15866
Converting to Percentage =
0.15866 × 100
= 15.866%
b) What is the probability that a student earned a score between 66 and 86?
For x = 66
Hence,
z = 66 - 76/10
z = -1
Probability value from Z-Table:
P(x≤ 66) = 0.15866
x = 66 = 0.15866
For x = 86
Hence,
z = 86 - 76/10
z = 1
Probability value from Z-Table:
P(x≤ 86) = 0.15866
x = 66 = 0.15866
Probability value from Z-Table:
P(x = 86) = 0.84134
The probability that a student earned a score between 66 and 86 is calculated as:
P(x = 86) - P(x = 76)
= 0.84134 - 0.15866
= 0.68268
Marianne's ring has a radius of 8mm. She needs to get it resized so that the circumference is 52 mm. How much larger will the new circumference be? Round your answer to the nearest tenth
Answers
Answer:
0.28mm larger
Step-by-step explanation:
Given data
Radius of ring= 8mm
Circumference
C= 2πr
C= 2*3.14*8
C=50.24mm
The resized ring has a circumference of =52 mm
Hence the radius will be
52= 2*3.14*r
52= 6.28r
r= 52/6.28
r= 8.28mm
Hence the resized ring is
8.28-8
=0.28mm larger
ANSWER FOR BRAINLIEST:
Mark all of the following that are measures of Central Tendency.
Mean
Range
Mode
Median
Mean Absolute Deviation
Outlier
Answers
Step-by-step explanation:
I think mode,range and median dpo ako sure
The diameter of a circle is 14 ft.
What is the area of the circle in terms of π?
Answers
Answer:
49π ft²
Step-by-step explanation:
[tex]A=\pi r^2[/tex] where r is the radius of the circle
To find the radius, divide the diameter by 2:
14 ft ÷ 2 = 7 ft
Plug the radius 7 ft into the equation
[tex]A=\pi (7)^2\\A=49\pi[/tex]
Therefore, the area of the circle in terms of pi is 49π ft².
I hope this helps!
Answer:
49π
Step-by-step explanation:
Diameter=14
Radius=14/2=7
Area=πr squared
Area=7 squared π
Area=49π
I. Daska is situated at a distance of 15 miles from both Gujranwala and Sialkot. A bus travels from Gujranwala to Daska at an average speed of 25 miles per hour, from Daska to Sialkot at an average speed of 40 miles per hour and returns to Daska at an average speed of 30 miles per hour. Find the average speed for the entire trip.
Answers
Answer:
The average speed of the entire trip is 8.5 miles per hour.
Step-by-step explanation:
Speed = Total Distance / Total Time
So we have to find the total distance and the total time taken .
1) From Gujranwala to Daska
speed= 25miles/hour distance = 15miles
Time taken = distance / speed
= 15/25= 0.6 hours
2) From Daska to Sialkot
speed= 40miles/hour distance = 15miles
Time taken = distance / speed
= 40/15= 2.67 hours
3 ) From Sialkot to Daska
speed= 30miles/hour distance = 15miles
Time taken = distance / speed
= 30/15= 2 hours
The total distance traveled to three places is = 15+ 15+15= 45miles
The Total time taken is = 0.6+ 2.67+ 2= 5.267=5.3 hours
Speed = Total Distance / Total Time
Speed= 45/ 5.3
= 8.49=8.5 miles per hour
The average speed of the entire trip is 8.5 miles per hour.
For flights from a particular airport in January, there is a 30 percent chance of a flight being delayed because of icy weather. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem. If one flight is selected at random from the airport in January, what is the probability that the flight selected will have at least one of the two types of delays?
(A) 0.065 (B) 0.335 (C) 0.350 (D) 0.450 (E) 0.665
Answers
Answer:
0.335
Step-by-step explanation:
1. There is a 30 percent chance of a flight being delayed because of icy weather ,then the probability of being delayed is 0.3 and of being not delayed is 0.7.
2. If a flight is delayed because of icy weather, there is a 10 percent chance the flight will also be delayed because of a mechanical problem, then the probability of being delayed is 0.1 and the probabilty of not being delayed is 0.9.
3. If a flight is not delayed because of icy weather, there is a 5 percent chance that it will be delayed because of a mechanical problem (MP), then the probability of being delayed is 0.05 and the probabilty of not being delayed is 0.95. (See attached probability tree)
Delayed of icy weather - 0.3
Delayed of MP when weather is not icy - 0.7·0.05=0.035
Now, if one flight is selected at random from the airport in January, the probability that the flight selected will have at least one of the two types of delays is
0.3+0.035=0.335
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PLEASE HELP !!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!
Answers
Answer:
77-55=22, i don't know if this is the answer if i'm wrong sorry im just trying to help you.For every 22 followers tyler has, Naomi has 22 leser followers
Step-by-step explanation:
IF i am right pls subscribe to Amiredagoat Yt
Thank you to anyone who answers .
Answers
Answer:
B: 33 3/4
Step-by-step explanation:
Claim shape a is a rectangle please help
Answers
Answer:
ummkmmmm
Step-by-step explanation:
Answer:
No, the shape is not a rectangle.
Step-by-step explanation:
A rectangle is a 2-dimensional shape with two sets of parallel sides and four right angles. Shape a has both sets of parallel sides, but the corners of the figure are not right angles. It is a rhombus. So, the answer is no, the shape is not a rectangle.
Good luck ^^
HELP I WILL GIVE BRAINIEST
Answers
Answer:
For the first one the answer is:
<K = 31°
Sorry I don't know the second one.
A triangle has sides with lengths of 48 meters, 51 meters, and 31 meters. Is it a right triangle?
Answers
Answer:
Step-by-step explanation:
Formula = a^2 + b^2 = c^2
Putting values
= (31)^2 + (48)^2 = (51)^2
= 961 + 2304 = 2601
= 3265 = 2601
Both sides are not equal so it is not a right triangle
I-Ready help...... AND DON"T SAY USE A CALCULATOR IT SO EZZ I Would if i flip In COULD DU>>>>>A>>>>>S>>>>S>>>>>'S SORRY TO BE mean XD
Answers
Answer:
-0.099
Step-by-step explanation:
0.9 × -0.11 = -0.099
Your pfp is giving me a seizure
You're like 12
And your cringy
""Sorry to be mean XD""
Which expression is equivalent to 7x + 4x2 – 5x?
Answers
Answer:
2x+8
Step-by-step explanation:
Answer:
[tex]4x^{2} +2x[/tex]
Step-by-step explanation:
I'm not sure what you want, because it says "which expression", but you didn't provide any answer choices.
So all you have to do for this is combine like terms, and the only ones were 7x and -5x, which equals 2x.
Un padre cede al mayor de sus hijos la quinta parte de su capital, al segundo la cuarta parte del mismo y al tercero le da el resto, que son 33,000 euros. ¿Cuál era su capital? ¿Cuánto le correspondió a cada hijo?
Answers
Answer:
El padre tenía un capital de 60,000 euros.
El hijo mayor recibe 12,000 euros.
El hijo segundo recibe 15,000 euros.
El hijo tercero recibe 33,000 euros.
Step-by-step explanation:
Sea [tex]x[/tex] el capital total del padre y [tex]a,b,c[/tex] son las asignaciones a los hijos mayor, segundo y tercero. A continuación, construimos las ecuaciones matemáticas a partir de lo descrito en el enunciado:
Hijo mayor
[tex]a = \frac{1}{5}\cdot x[/tex] (1)
Hijo segundo
[tex]b = \frac{1}{4}\cdot x[/tex] (2)
Hijo tercero
[tex]c = \left(1-\frac{1}{5}-\frac{1}{4}\right)\cdot x = 33000[/tex] (3)
De (3) tenemos que el capital del padre es:
[tex]x = \frac{33000}{1-\frac{1}{5}-\frac{1}{4} }[/tex]
[tex]x = 60000[/tex]
El padre tenía un capital de 60,000 euros.
Por (1) y (2) determinamos los capitales del hijo mayor y el hijo segundo:
[tex]a = \frac{1}{5}\cdot x[/tex]
[tex]x = 12000[/tex]
El hijo mayor recibe 12,000 euros.
[tex]b = \frac{1}{4}\cdot x[/tex]
[tex]b = 15000[/tex]
El hijo segundo recibe 15,000 euros.