Answer:
b = 29.0, A = 123.9°, C = 20.1°
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Answer:
b = 29.0; A = 123.9°, C = 20.1°
Step-by-step explanation:
The given angle lies between the given sides, so the Law of Cosines is the appropriate relation.
b² = a² +c² -2ac·cos(B)
b² = 1681 +289 -1394cos(36°) ≈ 842.2303
b ≈ √842.2303 ≈ 29.021
__
The Law of Sines can be used to find angle C:
sin(C)/c = sin(B)/b
C = arcsin(c/b·sin(B)) = arcsin(17/29.021×sin(36°))
C ≈ 20.1°
A = 180° -36° -20.1° = 123.9°
The remaining side and angles are ...
b ≈ 29.0; A ≈ 129.9°; C ≈ 20.1°
_____
Additional comment
By choosing to find the smaller angle C first, we avoid having to deal with the ambiguity associated with the arcsine when the angle is greater than 90°.
find the missing angle measure in each triangle. Then classify the triangle as acute, right, or obtuse. PLEASE ANSWER QUICK ILL MARK BRAINLIEST
Answer:
40 Right Angle Triangle
Step-by-step explanation:
180-50-90=x
x=40
Right angle triangle
Answer:
40
Step-by-step explanation:
90 + 50 = 140
A triange = 180
A right angle(aka the square) = 90
180 - 140 = 40
x = 40
3. In circle OJ, shown below, LK and MN are chords,
intersecting at point O. If LO=3, OK= 3, and MO =
1, what is ON?
M
K
(1) 1
(2) 3
(3) 6
(4) 9
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Answer:
(4) 9
Step-by-step explanation:
The product of the segment lengths of each chord is the same.
LO×OK = MO×ON
ON = LO×OK/MO = 3×3/1
ON = 9
what is the product of -8 1/3 and 3 2/5
Answer:
-28 1/3
Step-by-step explanation:
-8 1/3= -25/3
3 2/5= 17/5
-25/3*17/5= -28 1/3
work out the angle x please help.
Answer:
x is 13°.take the triangle to find the measure of x.180° -(85°+82°)=x
180°-167°=13°
For the given triangle the measure of the angle x is = 3 degrees.
Labeling the given figure,
since angle C and angle B are alternate angles
Therefore,
For the triangle ABE
The interior angle for A = x
The interior angle for B = 180 -98
= 92 degree
Since we know that,
The sum of the two interior angles of a triangle is equal to the exterior angle of the opposite side.
Therefore,
⇒ x + 92 = 180 - 85
⇒ x = 3 degrees.
Hence,
The measure of the angle x is = 3 degrees.
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
A bag contains 2 white balls, 3 red balls and a black ball. if a ball is selected at random, what is the probability that it is (a). not white
(b). red
(c). black
Answer:
a) 2/3
b) 1/2
c) 1/6
Step-by-step explanation:
2 white balls + 3 red balls + 1 black ball = 6 balls all together so then you do the number of balls over 6
Answer:
P( not white ) =2/3
P ( red)= 1/2
P( black) = 1/6
Step-by-step explanation:
2 white balls, 3 red balls and a black ball. = 6 balls
P( not white ) = number of balls not white / total = 4/6 =2/3
P ( red) = number of balls that are red/ total = 3/6 = 1/2
P( black) = number of balls that are black/ total = 1/6
Find the perimeter of the figure.
1 in
1 in
5 in
3 in
3 in
PLEASE HURRY ITS URGENT
Answer: My teacher told me to use 180 and divide something.
Step-by-step explanation:
Answer:
isnt itjust 15?
Step-by-step explanation:
1 +1+1+1 = 4 5+3+3 = 11 then 11+4 = 15 if this is incorrect im sorry
In a normal distribution, 95% of the data fall within how many standard deviations of the mean? O A. Three standard deviations B. It cannot be determined from the given information. O C. Two standard deviations O D. One standard deviation SUBM
Answer:
Two standard deviations
Step-by-step explanation:
The Z score is obtained using the mean and standard deviation, according to the empirical. Rule, which gives percentage of values that lie within an interval estimate in a normal distribution ;
one standard deviation lie within 68% of the mean
Two standard deviations lie within 95%
Three standard deviations lie within 99.7%
Hence, for the question given, 95% fall within 2 standard deviations of the mean
Find the following list of data calculate a demean be the maid in and see the mouth or mothers of the numbers from
the picture
Given:
A fair die is rolled.
It pays off $10 for 6, $7 for a 5, $4 for a 4 and no payoff otherwise.
To find:
The expected winning for this game.
Solution:
If a die is rolled then the possible outcomes are 1, 2, 3, 4, 5, 6.
The probability of getting a 6 is:
[tex]P(6)=\dfrac{1}{6}[/tex]
The probability of getting a 5 is:
[tex]P(5)=\dfrac{1}{6}[/tex]
The probability of getting a 4 is:
[tex]P(4)=\dfrac{1}{6}[/tex]
The probability of getting other numbers (1,2,3) is:
[tex]P(\text{Otherwise})=\dfrac{3}{6}[/tex]
[tex]P(\text{Otherwise})=\dfrac{1}{2}[/tex]
Now, find the sum of product of payoff and their corresponding probabilities to find the expected winning for this game.
[tex]E(x)=10\times P(6)+7\times P(5)+4\times P(4)+0\times P(\text{Otherwise})[/tex]
[tex]E(x)=10\times \dfrac{1}{6}+7\times \dfrac{1}{6}+4\times \dfrac{1}{6}+0\times \dfrac{1}{2}[/tex]
[tex]E(x)=\dfrac{10}{6}+\dfrac{7}{6}+\dfrac{4}{6}+0[/tex]
On further simplification, we get
[tex]E(x)=\dfrac{10+7+4}{6}[/tex]
[tex]E(x)=\dfrac{21}{6}[/tex]
[tex]E(x)=3.5[/tex]
Hence, the expected winnings for this game are $3.50.
Divide x3 + 5x2 + 5x – 3 by x + 3
Answer:
[tex]x^{2} + 2x - 1[/tex]
Step-by-step explanation:
We are solving for :
[tex]\frac{x^{3}+ 5x^{2} + 5x - 3 }{x + 3}[/tex]
Factor [tex]x^{3} + 5x^{2} + 5x - 3 : (x + 3)(x^{2} + 2x - 1)[/tex]
[tex]\frac{(x + 3)(x^{2} + 2x - 1)}{x + 3}[/tex]
= [tex]x^{2} + 2x - 1[/tex]
If the function y=xa-31 is a linear function, what is the value of a
Answer:
Answer is A
Step-by-step explanation:
The difference between 8 and a number is 5.
Answer:
the answer is 3.
Step-by-step explanation:
Difference between means to subtract.
8 - 5 = 3
Answer:
8- a = 5
Step-by-step explanation:
What complex number is represented by the expression 7i5 + 9i8?
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Answer:
9 +7i
Step-by-step explanation:
i^2 = -1, so i^8 = (-1)^4 = 1, and i^5 = (-1)^2×i = i
Then ...
7i^5 +9i^8 = 7i +9 = 9 +7i
The functions f(x) and g(x) are defined below. (in the image attached)
Which expression is equal to f(x) + g(x)?
[tex] \frac{2x - 20}{ {x}^{2} + 6x - 40 } [/tex]
This is the right answer.
Refer to the attachment for the complete work.
When creating a histogram, the first recorded scale is 1 to 10. What should the second scale indicate?
A. 11-20
B. 10-20
C. 11-19
D. 10-19
please help asap
Answer: (B)10-20
Step-by-step explanation:
Two photographers offer different pricing plans for their services. The graph below models the prices Photographer A charges. The table below shows the prices Photographer B charges. Each photographer charges a one-time equipment fee and an hourly rate. a. Which photographer charges the greater hourly rate? By how much? b. Which photographer charges the greater one-time fee? By how much?
Answer:
a. Photographer A by $10
b. Photographer B by $25
Will mark Brainlest!!
Help Please!
(1). find the domain and range of the following
Answer:
Step-by-step explanation:
You have the domain. It is given as -1≤x≤1
Now all you have to do is figure out the range which is the y value. At first glance I think it might be 3, but that does not look very logical. I'll post this much of it now and be back in under an hour with a more complete answer.
Of course! How silly of me. There is a minimum of y = 1 in the range which comes from x = 0
I've included a graph so you can see how this all works.
So the range = 1 ≤ y ≤ 3
Evaluate the function.
f(x) = -x2 - 4x - 19
Find f(-9)
Help plsss
Given the quadratic function below:
[tex] \large{f(x)= - {x}^{2} - 4x - 19}[/tex]
To find f(-9), simply substitute x = -9 in the function.
[tex] \large{f( - 9) = - {( - 9)}^{2} - 4( - 9) - 19} \\ \large{f( - 9) = - 81 + 36 - 19} \\ \large{f( - 9) = - 100 + 36 \longrightarrow \large \boxed { \purple{f( - 9) = - 64}}}[/tex]
Answer
f(-9) = -64Let me know if you have any doubts regarding the function.
State one practical use of variation related to health statistics.
Briefly discuss its implications.
Step-by-step explanation:
Measurement errorRandom errorChoose the definition for the function. please help me
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Answer:
A
Step-by-step explanation:
It is usually sufficient to look at one section of the graph to answer a question like this. Often the best choice is the section that has a solid dot at the end of the curve. Here, that is the right section.
The left end of the right section is at x=-2, so that part of the function is defined for x ≥ -2. The line to the right has a positive slope, so the coefficient of x will be positive.
Only one answer choice has a positive x-coefficient for x ≥ -2.
[tex]\textbf{A. }\begin{cases}-x-2&\text{if }x<-2\\x+4&\text{if }x\ge-2\end{cases}[/tex]
Answer:
Step-by-step explanation:
This graph is made up of two different, separate line segments. In other words, it comes in two pieces which can be described as a pair of linear functions.
We call this a "piecewise linear" function. Choice A is the best one.
Jessica left her running shoes at school yesterday. Today she walked 4 miles to school to get her shoes, she ran home along the same route, and the total time for both trips was 2 hours. Jessica walked and ran at constant speeds, and she ran 3 miles per hour faster than she walked.
What was Jessica's walking speed in miles per hour?
Jessica left her running shoes at school yesterday. Today she walked 4 miles to school to get her shoes, she ran home along the same route, and the total time for both trips was 2 hours. Jessica walked and ran at constant speeds, and she ran 3 miles per hour faster than she walked.
What was Jessica's walking speed in miles per hour?
3 liters split into 10 people equally?
Answer:
3.3333333333333333333333333333333
Step-by-step explanation:
10 divide it by 3 and get your answer on what amount and fraction of liter each person will get.
Note:
Pls notify me if my answer is incorrect for the other users that will see this message. Thank you.
-kiniwih426
Can y’all help me on question 3?!
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Answer:
60 gallons
Step-by-step explanation:
The area of the trapezoid-shaped wall is given by ...
A = 1/2(b1 +b2)h
where b1 and b2 are the lengths of the parallel sides, and h is the perpendicular distance between them.
The area of the wall is ...
A = (1/2)(5 ft + 15 ft)(6 ft) = 60 ft²
If it takes 1 gallon to cover 1 square foot, then it will take 60 gallons to cover 60 square feet.
Isha needs 60 gallons of paint.
Answer:
Isha needs 60 gallons of paints to the wall.
Step-by-step explanation:
The area of trapezoid shaped like wall is given by :-
Area of trapezoid = 1/2 × ( Base ¹ + Base ² ) × H
Where,
B ¹ and B ² are the length of bases and H is the perpendicular distance between them.
Area of wall = 1/2 × ( Base¹ + Base²) × Height
Where, according to question we have
Base ¹ = 5 t Base ² = 15 ftAnd , Height = 6 ftsubstitute the values
Area = 1/2 × ( 5 ft + 15 ft ) × 6 ft
add the values of Base¹ and Base ²
Area = 1/2 × 20 ft × 6 ft
multiply
Area = 1 / 2 × 120 ft ²
divide
Area = 120 ft ² / 2 = 60 ft ²
It takes 1 gallon to cover 1 ft ². ... ( given)
So, For covering 60 ft ² it takes 60 gallons .
check
( 1 × 60 ) gallon = 60 ft ²
60 gallon = 60 ft²
Find the area of this triangle.
Round to the nearest tenth.
11 in
76 degrees
24 in
[?] in
Answer:
Step-by-step explanation:
128.1
Find the volume of the prism.
With composte solids, all you have to do is find the volume of each and then add them together
Answer:
1760 cm³
Step-by-step explanation:
Volume For top "trapezoidal" prism : (14 * 4)/2 * 20 = 28 * 20 = 560
Volume for bottom rectangular prism = 6 x 10 x 20 = 60 x 20 = 1200
1200 + 560 = 1760 cm³
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Rosa and Micah are playing a game . Which table is the closest to showing Rosa winning approximately plays ? 3/5 of the times she
Answer:
A is the closest
1/4 es mayor o menor que 3/16
Answer:
1/4
Step-by-step explanation:
Have a nice day :)
ten un buen dia :)
Answer: 3/16 es menor than 1/4.
Write an equation for a line perpendicular to y=3x+1 and passing through the point (6,2)
Answer:
[tex]y = -\frac{1}{3}x + 4[/tex]
Step-by-step explanation:
Required
Equation of line
passes through [tex](6,2)[/tex]
In an equation of the form [tex]y =mx + b[/tex]; the slope is [tex]m[/tex]
So, by comparison;
The slope of [tex]y = 3x + 1[/tex] is: [tex]m =3[/tex]
From the question, we understand that the required equation is perpendicular to [tex]y = 3x + 1[/tex]
This means that its slope is:
[tex]m_2 =-\frac{1}{m}[/tex]
So, we have:
[tex]m_2 =-\frac{1}{3}[/tex]
The line equation is:
[tex]y = m_2(x - x_1) + y_1[/tex]
Where:
[tex](x_1,y_1) = (6,2)[/tex]
So, we have:
[tex]y = -\frac{1}{3}(x - 6) + 2[/tex]
[tex]y = -\frac{1}{3}x + 2 + 2[/tex]
[tex]y = -\frac{1}{3}x + 4[/tex]
A kitchen floor can somebody plzzzz helpppp
Answer: 876
Step-by-step explanation:so all you need to do is go into
What are the steps in finding the average height? Plz help ty :>
(Problem-solving questions- Calculating the average height of all the children in your class)
Answer: add all the heights and divide by number of children.
Step-by-step explanation: add all heights and divide by number of children
Find the size of angle x.
Answer:
x = 111
Step-by-step explanation:
180- 82 -29 is 69 and 180-69 is x which x is equal to 111
Answer:
111°
Step-by-step explanation:
By exterior angle theorem:
[tex]x = 82 \degree + 29 \degree \\ = 111 \degree[/tex]