Answers
Answer:
x = 133.33°
Step-by-step explanation:
The Law of Cosines
It relates the length of the sides of a triangle with one of its internal angles.
Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:
[tex]c^2=a^2+b^2-2ab\cos x[/tex]
Since we know the values of all three side lengths, we solve the equation for x:
[tex]\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}[/tex]
For the triangle in the figure: a=4.1, b=8.5, c=11.7, x=angle C. Applying the formula:
[tex]\displaystyle \cos x=\frac{4.1^2+8.5^2-11.7^2}{2*4.1*8.5}[/tex]
[tex]\displaystyle \cos x=\frac{-47.83}{69.7}[/tex]
[tex]\displaystyle \cos x=-0.6862[/tex]
[tex]x = \arccos (-0.6862)[/tex]
x = 133.33°
Related Questions
A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion of those who make a donation when contacted by phone is known to be p=0.05. For samples of size 100, which of the following best interprets the mean of the sampling distribution of the sample proportion of people who make a donation when contacted by phone?
a. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.05.
b. For all random samples of 100 people contacted by phone, the sample proportion of those who make a donation will be 0.07.
c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
d. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.07.
e. The probability that the mean of the sampling distribution of sample proportions is greater than 0.07 is 0.05.
Answers
Answer: c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
Step-by-step explanation:
Mean of the sampling distribution of the sample proportion = p (Population proportion.)
Here, the population proportion of those who make a donation when contacted by phone is known to be p=0.05.
Then, Mean = p = 0.05
Hence, the correct option is
c. The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
This question is based on the concept of statistics. Hence, the correct option is (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
Given:
A national charity contacted 100 randomly selected people by phone, and 7 percent of those contacted made a donation to the charity. The population proportion p=0.05. For samples of size 100.
According to the question,
Mean of sampling distribution of the sample proportion = p (Population proportion.)
It is given that, the population proportion of those who make donation when contacted by phone is known to be p=0.05.
Thus, Mean = p = 0.05
Hence, the correct option is (c) The mean of all sample proportions of those who make a donation from all random samples of 100 people contacted by phone is 0.05.
For more details, prefer this link:
https://brainly.com/question/10211620
Which expression is equivalent to (−3)6(−3)4
6 and 4 are exponents
A. (−3)2
B. (−3)24
C. (−3)10
D. (−3)1.5
The numbers by the parenthesis are exponets
Answers
Answer:
the answer is C
Step-by-step explanation:
(-3)6 (-3)4 =(-3)6+4=(-3)10
SOMEONE PLEASE HELP ME THIS IS ALMOST DUE AND I NEED THE RIGHT ANSWER PLZ!!!
Answers
Answer:
i am pretty sure it is the first oneThis is because 45 + 69 = 105
On a straight line there is 180 degrees so if you subtract the angle inside the triangle,
180 - 105 = 75
180 - 75 = 105
So, w = 105
Please help at least one please number it!!!
Answers
Answer:
34, 50
Step-by-step explanation:
An amount divide by 17: 34÷17=2
25 less than x: 50-25=25
2)10 + x
3)x:5
4) x - 25
5) b + -12
6) x - 36
7) n - 5
8) a/17
(please give me brainliest)
Help i ran out of answers to sseeee PLZ COMMENT
Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, or 1 negative unit tile, to both sides. What advice would you give Tucker to help him decide on his first step? Explain.
Answers
Answer:
Subtract 5x
Step-by-step explanation:
Cause then you would only get one x in the equation instead of 6x and 5x. Hope this helps!
Answer:
this is what i used as my answer on the advice i would give tucker for what to do as his first step.
Step-by-step explanation:
i would tell tucker to add 5 negative x-tiles because then he would be isolating the x variable and that would help him with not getting confused when gets to the part where he has to isolate the variable if he was to add 1 negative unit tile to both sides as his first step.
Which did you include in your response?:Either first step will isolate the variable.
the weight of a person of average build varies directly with the cube of that person's height. use a person 6 feet tall who weight's 200 pounds to find the equation of variation
Answers
Answer:
24356475869708-9
Step-by-step explanation:
i-3= 47
You would like to buy new carpet for a room. The room us rectangular. The dimensions are 12 1/3 feet by 10 3/4 feet. How many square feet of carpet do you need?
Answers
Add the expression. Write the sum in simplest form 3 /x+2 + x+1 / x^2 + 5x + 6
Answers
Answer: ?
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]\frac{3}{x+2} +\frac{x+1}{x^2+5x+6} \\=\frac{3}{x+2} +\frac{x+1}{x^2+3x+2x+6} \\=\frac{3}{x+2} +\frac{x+1}{x(x+3)+2(x+3)} \\=\frac{3}{x+2} +\frac{x+1}{(x+3)(x+2)} \\=\frac{3(x+3)+x+1}{(x+3)(x+2)} \\=\frac{3x+9+x+1}{(x+3)(x+2)} \\=\frac{4x+10}{(x+3)(x+2)} \\=\frac{4x+10}{x^2+5x+6}[/tex]
[tex]=\frac{2(2x+5)}{(x+3)(x+2)}[/tex]
Jake created a scale drawing of an airplane. In the scale drawing, the length of the airplane was 15 inches. The length of the actual airplane is 75 feet. What scale did Jake use to create the scale drawing of the airplane? A. 1 inch represents 15 foot A. 1 inch represents 1 over 5.... , foot, B. 1 inch represents 5 feet B. , 1 inch represents 5 feet, , , C. 5 inches represents 1 foot C. , 5 inches represents 1 foot , D. 5 inches represents 15 foot
Answers
Answer:
B. 1 inch represents 5 feet.
Step-by-step explanation:
15 X 5= 75
Given m=-2 and b = 6, write the equation
in Slope intercept form
Answers
Answer:
M= -2 , В = 6/5
Step-by-step explanation:
please anyone help i really need help it’s due please!!
Answers
QU = 2(RT)
w + 41 = 2w
w = 41
A way to remember corresponding angles is to remember: *
Answers
The elevation at ground level is 0 feet. An elevator starts 90 feet below ground level. After traveling for 15 seconds, the elevator is 20 feet below ground level. Which statement describes
the elevator's rate of change in elevation during this 15-second interval?
Answers
Answer:
elevator travel 4.5 feet per second
Answer: A
Step-by-step explanation:
the answer is A
.25 x .22
what is the answer
Answers
Answer:
.055
Step-by-step explanation:
50 POINTS AND I WILL MARK BRAINLIEST Find the volume please help
Answers
Answer:348
Step-by-step explanation:
For composite prisms, where the bases are a composite shape, the area of the bases is the sum of the areas of the parts it is made of. The volume of the composite prism is then given by multiplying the whole base area by the height of the prism.In math, volume is the amount of space in a certain 3D object. For instance, a fish tank has 3 feet in length, 1 foot in width and two feet in height. To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. So the volume of the fish tank is 6 cubic feet.
Answer:
[tex] 1,205.8\: {ft}^{3} [/tex]
Step-by-step explanation:
Given object is made up of cylindrical and conical parts.
Fir cylindrical part:
r = 16/2 = 8 ft
h = 4 ft
For conical part:
r = 16/2 = 8 ft
h = 6 ft
Volume of the object = Volume of cylinderical part + Volume of the conical part
[tex] = \pi {r}^{2} h + \frac{1}{3} \pi {r}^{2} h \\ \\ =\pi \times {8}^{2} \times 4 + \frac{1}{3} \times \pi \times {8}^{2} \times 6 \\ \\ = 64\pi \times 4 + \frac{1}{ \cancel3} \times 64\pi \times \cancel6 \\ \\ = 64\pi(4 + 2) \\ \\ = 64\pi \times 6 \\ \\ = 384\pi \\ \\ = 384 \times 3.14 \\ \\ = 1,205.8 \: {ft}^{3} [/tex]
If a 24 foot tree casts a 7 foot shadow then what is the length of the shadow that 4 foot tall girl casts? Choose best possible answer.
1. 28 feet
2. 5.8 feet
3. 1.2 feet
4. None
Answers
Answer:
hmmm
Step-by-step explanation:
Find the values of x and y.
2x 28 4y 28
Answers
Answer:
y=7
x°=15°
Step-by-step explanation:
First we see that there is a equilateral triangle (all angles and also sides should be equal to each other) meaning that 4y=28, which simplifies to y=7
Additionally, we can see that one of the acute angles of the equilateral triange is complementary with the 2x° angle, so 2x°+(the acute angle)=90°
Since the triangle is equilateral each angle must be equivalent and since there is only 180° in a triangle each angle is 180°/3=60°
so 2x°+(60°)=90°
simplify for x°
2x°=30°
x°=15°
The perimeter of a square is 52 cm.
Calculate the area of the square.
Answers
Answer:
52/4 = 13
13 X 13 = 169 cm squared
Simplify the expression: 16k + 8 - (6k + 3)
Answers
Answer:
Step-by-step explanation:
16k +8 -(6k+3)
= 16k +8 -1(6k+3)
= 16k + 8 -6k -3
= 10k +5
I hope this is self-explanatory. If any question, please let me know.
Thanks, hope this will help you:)
Answer:
k=-1/2
Step-by-step explanation:
16k+8-(6k+3)
16k+8-(6k+3)=0
16k+8-6k-3=0
16k-6k+8-3=0 ( rearrange)
10k+5=0
10k= -5
k= -5/10( simplify)
k -1/2
check the answer again
omg sryyy that's not the answer I thought we had to find the value of k ....I cant delete it really sry
Which property explains why these expressions are equal?
5(g + h) = 5g + 5h
Answers
Answer:
distributive
Step-by-step explanation:
Answer: distrubitive
Step-by-step explanation:
Seven more than three times a number is thirty-one. Write an equation
and solve for the unknown number.
Answers
Answer:
As an equation, (we'll use x as the variable), that word problem is 3x+7=31.
To solve we'd subtract 7 from both sides to isolate 3x, which gives us 3x=24. Now, to isolate x(unknown number) we would divide both sides by 3. When you divide both sides by 3, you'd get x=8.
What fraction of 6 is 2 1/4 ?
Answers
Answer:
13 1/2
Step-by-step explanation:
this is surely the answer. 13.5
the regular price of a bicycle is $120.the bicycle is on sale for 20% off.which expression is equal to the sale price,in dollars,of the bicycle
Answers
Answer:
96$, hope this helps! （＾⊆＾）
Step-by-step explanation:
120 x .20 = 24
120 -24 =$96
If three times a number is increased by 4, the result is -8. Determine the number.
Answers
Answer:
Step-by-step explanation:
let the number is x
3x+4=-8
3x=-8-4
3x=-12
x=-4
Please I really need help on this one
Answers
Answer:
2.5ft
Step-by-step explanation:
d=2r
r=1/2d
r=1/2*5ft=2.5 ft
A box contains balls of four different colors. There are 5 red balls, 7 green balls, 2 blue balls and 6 yellow balls. If you pick a ball at random, the probability it will be yellow is
a. 1
b. 1/4
c. 6
d. 6/20
e. 6/14
Answers
Answer:
d. 6/20
Step-by-step explanation:
There are 5 red, 7 green, 2 blue, and 6 yellow, with a total of 20. Since there are 6 yellow, you have a probability of 6/20.
Let E be the event that a randomly chosen person exercises. Let D be the event that a randomly chosen person is on a diet. Identify the answer which expresses the following with correct notation: Of all the people who exercise, the probability that a randomly chosen person is on a diet.
a) P(D) AND P(E)
b) P(E AND D)
c) P(E|D)
d) P(D|E)
Answers
Answer:
d) P(D|E)
Step-by-step explanation:
E = person exercises
D = person on a diet
Given the expression :
Of all the people who exercise, the probability that a randomly chosen person is on a diet.
This simply refers to a conditional probability whereby the subset from which the probability that a randomly chosen person is on diet is to be calculated is the subset of those who exercise.
In statistical parlance, the statement is expressed as ; the probability of A given B = P(A|B)
In this scenario, we say; the probability that a randomly chosen person is on a diet Given that the person exercise ; P(D|E)
Hence, the answer is D.
Please help I’ll mark you as brainliest if correct
Answers
Answer:
Step-by-step explanation:
The second one is perimeter, not area. The first one is correct.
Which expression is equivalent to
42 + 3 x 4?
A 52 + 3
B 3x 4+43
C 3² +7+4
D 26 - 2 + 6
Answers
Answer:
A. 52+3
Step-by-step explanation:
52+3= 42 + 3 x 4 I hope this helps
1. What is an example of a quadratic function?
a. Determine the functions minimum or maximum value.
b. Determine the function domain and range.
c. Find the zeros of the function.
2. What is the quadratic formula?
a. When would you use this formula?
3. What is the discriminant?
a. Provide an example.
Answers
Answer:
Step-by-step explanation:
1. f(x)= x^2+10x+25
a) (-5,0)
c)x=-5
2. image attached
a) when finding the zeros or roots of the quadratic
3. the discriminant of a polynomial is a quantity that depends on the coefficients and determines various properties of the roots.
a) b^2-4ac