Answers
Answer:
83.0°
Step-by-step explanation:
Given ∆XYZ, with 3 known sides, to find angle X, apply the Law of Cosines, c² = a² + b² - 2ab*cos(C).
For convenience sake, this formula can be rewritten to make the angle we are looking for the subject of the formula.
Thus, we would have this following:
[tex] cos(C) = \frac{a^2 + b^2 - c^2}{2ab} [/tex]
Where,
C = X = ?
a = 8 ft
b = 16 ft
c = 17 ft
Plug in the stated values into the formula and solve for X
[tex] cos(X) = \frac{8^2 + 16^2 - 17^2}{2*8*16} [/tex]
[tex] cos(X) = \frac{320 - 289}{256} [/tex]
[tex] cos(X) = \frac{31}{256} [/tex]
[tex] cos(X) = 0.1211 [/tex]
[tex] X = cos^{-1}(0.1211) [/tex]
[tex] X = 83.0 [/tex] (to nearest tenth)
Answer:
its actually 83 not 83.0
Step-by-step explanation:
im only saying this bc i know people with type 83.0 in the box
Related Questions
Question 10 of 10
Which set of polar coordinates are plotted in the graph below?
Answers
Answer:
(-2, -(2pi)/3)
Step-by-step explanation:
a p ex
In da pic :)))))))))
Brainliest for correct awnser! What is the domain of f(x)?
Answers
Answer:
[tex]\mathrm{B.}[/tex] All real numbers except x = 2, x = 5
Step-by-step explanation:
If the denominator is equal to 0 then the function would be undefined.
Set the denominator equal to 0.
x² - 7x + 10 = 0
Factor the left side of the equation.
(x - 5)(x - 2) = 0
Set the factors equal to 0.
x - 5 = 0
x = 5
x - 2 = 0
x = 2
The domain is all real numbers except x = 2 and x = 5.
Write an equation for the absolute value. PLEASE HELP I’m so confused on this!!!
Answers
Answer:
y = 3 |x − 8| + 1
Step-by-step explanation:
y = 3 |x|
Shift right 8 units:
y = 3 |x − 8|
Shift up 1 unit:
y = 3 |x − 8| + 1
Which of the following statement is incorrect?
4
A.3/4<4/5
B.5/6>0.83
C.2/3>0.66
D.1/3>0.3
درا
Answers
Answer:
None,
they are all correct.
Step-by-step explanation:
A)
3/4 - 75%
4/5 - 80%
3/4 < 4/5
B)
5 ÷ 6 = .83333333333
5/6 > .83
C)
2 ÷ 3 = .666666666
2/3 > .66
D)
1 ÷ 3 = .33333333333
1/3 > .3
Thus,
all of the given statements are correct.
Hope this helps :)
The graph represents function 1 and the equation represents function 2:
Function 2 y = 4x + 1
How much more is the rate of change of function 2 than the rate of change of function 1?
Answers
Greetings from Brasil...
In a linear function, the rate of change is given by M (see below).
F(X) = Mx + NM = rate of change
N = linear coefficient
The Function 2 has M = 4, cause
F(X) = 4X + 1
(M = 4 and N = 1)
For Function 1 we have a rate of change equal to zero, becaus it is a constant function... let's see:
M = ΔY/ΔX
M = (3 - 3)/(4 - 0)
M = 0/4 = 0
So, the Function 2 has 4 times more rate of change than the first
Your answer is two!!
a survey was done Of 600 shoppers at a grocery store to determine if they like a new flavor Of potato chip. Of the 600 shoppers, 376 of them liked the new flavor. a) What percentage of the 600 shoppers liked the new flavor? Round your answer to the nearest percent. b) If 37.5% of the. 600 shoppers stated they would buy the new flavor, how many of the 600 would buy it?
Answers
Answer:
63%
225 buyers
Step-by-step explanation:
To find the percent take the number that liked it over the total
376/600
Change to decimal form
.62666666
Change to percent by multiplying by 100
62.66666666%
The nearest percent is 63%
37.5 % would but it then multiply by the number of shoppers
37.5 % ( 600)
Change to decimal form
.375 * 600
225
Question 5(Multiple Choice Worth 4 points) (05.05)Based on the graph, what is the initial value of the linear relationship?
Answers
Answer: A) -2
Step-by-step explanation:
The y-intercept (where the graph crosses the y-axis) is the "initial value".
Looking at the given graph, it crosses the y-axis when y = -2
a rectangle is three times as long as it is widen. if it perimeter is 56cm, find the width of the rectangle
Answers
Hi there! :)
Answer:
w = 7 cm.
Step-by-step explanation:
Given:
P = 56
Use the formula P = 2l + 2w to solve for the perimeter of the rectangle.
Let w = width, and
3w = length
Plug these into the equation:
56 = 2(3w) + 2(w)
56 = 6w + 2w
Combine like terms:
56 = 8w
Divide both sides by 8:
w = 7 cm.
The width of rectangle is 7 cm.
Mrs Tan has 2 daughters, Phoebe and Jody. The highest common factor and lowest common multiple of their ages are 3 and 168 respectively.If Phoebe is 3 years older than her sister, find her age.
Answers
Answer:
Phoebe's age = 24 years.
Step-by-step explanation:
Given:
Highest Common Factor and Lowest Common Multiple of the ages are 3 and 168 respectively.
Phoebe is 3 years older than Jody.
To find:
The age of Phoebe = ?
Solution:
Here, We have two numbers whose
HCF = 3 and
LCM = 168
Let the age of Phoebe = P years and
Let the age of Jody = J years
As per given statement:
[tex]P = J + 3 ...... (1)[/tex]
Let us learn about the property of LCM and HCF of two numbers.
The product of LCM and HCF of two numbers is equal to the product of the two numbers themselves.
LCM [tex]\times[/tex] HCF = P [tex]\times[/tex] J
[tex]\Rightarrow P\times J = 3 \times 168 \\\Rightarrow P\times J = 504[/tex]
Putting the value of P from equation (1):
[tex]\Rightarrow (J+3)\times J = 504\\\Rightarrow J^2+3J-504 = 0\\\Rightarrow J^2+24J-21J-504 = 0\\\Rightarrow J(J+24) - 21(J+24) = 0\\\Rightarrow (J - 21)(J+24) = 0\\\Rightarrow J = 21, -24[/tex]
Negative value for age is not possible So, Jody's age = 21 years
Using equation (1):
Phoebe's age = 21 + 3 = 24 years.
I need the answer quick I have a time limit ( I only get an hour to complete the assignment heh )
Answers
Answer:
C (the third table, from the second picture).
Step-by-step explanation:
First, we need to find the slope of the graph.
Two conspicuous points are (0, -3) and (2, 1).
The slope is: (1 - -3) / (2 - 0) = (1 + 3) / 2 = 4 / 2 = 2.
A: In the table, the y-values increase by 2, while the x-values increase by 4. 2 / 4 = 1 / 2 = 0.5. The slope is not the same as the graph.
B: In the table, the y-values decrease by 2, while the x-values increase by 4. -2 / 4 = -1 / 2 = -0.5. The slope is not the same as the graph.
C: In the table, the y-values increase by 4, while the x-values increase by 2. 4 / 2 = 2 / 1 = 2. The slope is the same as the graph, so C is your answer.
D: In the table, the y-values decrease by 4, while the x-values increase by 2. -4 / 2 = -2 / 1 = -2. The slope is not the same as the graph.
Hope this helps!
In the figure, ∆BAT ≅ ∆CAT. Which statement is not true by CPCTC? ∠CAB ≅ ∠SAB ∠CAS ≅ ∠BAS
Answers
Answer:
∠CAB ≅ ∠SAB is not true
Step-by-step explanation:
CPCTC means id ABC = XYZ, than A=X, AB=XY, C=Z and so on. Basically the number numbers that come in the same order as the other one is equal.
So ∠CAS ≅ ∠BAS is true but ∠CAB ≅ ∠SAB is not.
Hope this helps. If you have any follow-up questions, feel free to ask.
Have a great day! :)
Answer:
sap
Step-by-step explanation:
Please answer this correctly without making mistakes.Please simplify the correct answer
Answers
Answer:
19/70 of NASA shuttle missions were carried out by Discovery.
9/140 of NASA shuttle missions were carried out by Challenger.
17/70 of NASA shuttle missions were carried out by Endeavour.
Step-by-step explanation:
Adding the number of missions carried out by NASA gives us 140 in total.
Discovery's total amount of missions simplified is 19/70.
Challenger's total amount of missions is already in the simplest form.
Endeavour's total amount of missions simplified is 17/70.
Answer:
81/140
Step-by-step explanation:
Well to find the fraction we first need to total amount of NASA missions.
38 + 32 = 70
70 + 34 = 104
104 + 27 = 131
131 + 9 = 140
Now we need to find out the amount of Discovery, Challenger, and Endeavour missions.
38 + 9 + 34 = 81
Now we can make the following fraction,
81/140
This is already in simplest form.
Thus,
the answer is 81/140.
Hope this helps :)
After collecting the data, Peter finds that the standardized test scores of the students in a school are normally distributed with mean 85 points and standard deviation 3 points. Use the Empirical Rule to find the probability that a randomly selected student's score is greater than 76 points. Provide the final answer as a percent rounded to two decimal places.
Answers
Answer:
Step-by-step explanation:
Given that:
the standardized test scores of the students in a school are normally distributed with:
mean = 85 points
standard deviation = 3 points
Using the empirical rule:
=85 - (3 × 3)
= 85 - 9
= 76
The given value of 76 points is 3 standard deviations below mean
Therefore;
the percent score between the given value of 76 points and the mean 85 points is:
99.7/2 = 49.85% ( since 99.7 data value lies within 3 standard deviation)
Also ; the percent of value above the mean score = 50%
Therefore, the probability that a student's score is greater than 76 points is
= (49.85 + 50 )%
= 99.85%
Answer:
mean=85
sd=3
85-3*3=76
its between 76 and 85=99.7/2=49.85%
50% mean above.
49.85+50=99.85%
Step-by-step explanation:
6th grade math, help me please:)
Answers
Answer:
21
Step-by-step explanation:
Just like a dilation you want to find some sort of scale factor. Now when 7/2 is simplified it then becomes 3.5. Now multiply that by 6 since we are trying to find the ratio. when multiplied by 6 it becomes 21 so the ration of wins to losses is 21/6
EXAMPLE 5 If f(x, y, z) = x sin(yz), (a) find the gradient of f and (b) find the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k. SOLUTION (a) The gradient of f is ∇f(x, y, z) = fx(x, y, z), fy(x, y, z), fz(x, y, z)
Answers
Answer:
a) f = sin(yz)i + xzcos(yz)j + xycos(yz)kb) -2Step-by-step explanation:
Given f(x, y, z) = x sin(yz), the formula for calculating the gradient of the function is expressed as ∇f(x, y, z) = fx(x, y, z)i+ fy(x, y, z)j+fz(x, y, z)k where;
fx, fy and fz are the differential of the functions with respect to x, y and z respectively.
a) ∇f(x, y, z) = sin(yz)i + xzcos(yz)j + xycos(yz)k
The gradient of f = sin(yz)i + xzcos(yz)j + xycos(yz)k
b) Directional derivative of f at (1,2,0) in the direction of v = i + 4j − k is expressed as ∇f(1, 2, 0)*v
∇f(1, 2, 0) = sin(2(0))i +1*0cos(2*0)j + 1*2cos(2*0)k
∇f(1, 2, 0) = sin0i +0cos(0)j + 2cos(0)k
∇f(1, 2, 0) = 0i +0j + 2k
Given v = i + 4j − k
∇f(1, 2, 0)*v (note that this is the dot product of the two vectors)
∇f(1, 2, 0)*v = (0i +0j + 2k)*(i + 4j − k )
Given i.i = j.j = k.k =1 and i.j=j.i=j.k=k.j=i.k = 0
∇f(1, 2, 0)*v = 0(i.i)+4*0(j.j)+2(-1)k.k
∇f(1, 2, 0)*v = 0(1)+0(1)-2(1)
∇f(1, 2, 0)*v =0+0-2
∇f(1, 2, 0)*v= -2
Hence, the directional derivative of f at (1, 2, 0) in the direction of v = i + 4j − k is -2
The true average diameter of ball bearings of a certain type is supposed to be 0.5 in. A one-sample t test will be carried out to see whether this is the case. What conclusion is appropriate in each of the following situations?
(a) n = 15, t = 1.66, a = 0.05
a. Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
b. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
c. Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
d. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
(b) n = 15, t = 1.66, a = 0.05
a. Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
b. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
c. Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
d. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
(c) n = 26, t = 2.55, a = 0.01
a. Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
b. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
c. Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
d. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
(d) n = 26, t = 3.95
a. Reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
b. Reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
c. Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
d. Do not reject the null hypothesis. There is sufficient evidence that the true diameter differs from 0.5 in
You may need to use the appropriate table in the Appendix of Tables to answer this question.
Answers
Answer:
Option C - Do not reject the null hypothesis. There is not sufficient evidence that the true diameter differs from 0.5 in
Step-by-step explanation:
We are given;
n = 15
t-value = 1.66
Significance level;α = 0.05
So, DF = n - 1 = 15 - 1 = 14
From the one-sample t - table attached, we can see that the p - value of 0.06 at a t-value of 1.66 and a DF of 14
Now, since the P-value is 0.06,it is greater than the significance level of 0.05. Thus we do not reject the null hypothesis. We conclude that there is not sufficient evidence that the true diameter differs from 0.5 in.
What is the simplified form of 144x^36?
O 12x6
O 12x18
O 72x6
072x18
Answers
Answer:
B
Step-by-step explanation:
Ellie bought two planks of wood that were each 4ft 3in long, and two planks of wood that were each 6 ft 5in long. What is the total length of the wood she purchased?
Answers
Answer:
21 feet 4 inches
Step-by-step explanation:
Ellie bought two planks of wood that were each 4ft 3in long
Total length of these two planks = 4ft 3in + 4ft 3in = 8 feet 6 inches
she also bought two planks of wood that were each 6 ft 5in long
Total length of these two 6 ft 5in planks = 6 ft 5in + 6 ft 5in = 12 feet10 inches
Thus, total length of all the woods purchased = Total length of 4ft 3in two planks + Total length of the two 6 ft 5in planks
= 8 feet 6 inches + 12 feet 10 inches
adding feet with feet and inches with inches term
= 20 feet 16 inches
we know that 12 inches is equal to 1 feet
thus, 16 inches can be written as 1 feet 4 inches
thus,
20 feet 16 inches will be same as 21 feet 4 inches
The total length of the wood Ellie purchased is 21 feet 4 inches.
The equation of the graphed line is 2x – y = –6. A coordinate plane with a line passing through (negative 3, 0) and (0, 6). What is the x-intercept of the graph? –3 –2 2 6
Answers
Answer:
-3
Step-by-step explanation:
-3 is the answer
Answer:
-3
Step-by-step explanation:
What is the value of x? Enter your answer as a decimal in the box. Round only your final answer to the nearest tenth.
Answers
Answer:
10.2 m
Step-by-step explanation:
180 - 81 - 30 = 69
law of sines
x /sin 30 = 19/sin 69
x = 10.2
Write down the first 6 elements of the following sequence (where n ∈ Z +), then give a recursive definition for an. Do not forget the base case. (You do not need to prove it is correct). (a) an = 3n − 10 (b) an = (1 + (−1)n ) n
Answers
Step-by-step explanation:
The first six terms for each of the following sequenses are:
(a) a_n = 3n - 10
1. a_1 = -7
2. a_2 = -4
3. a_3 = -1
4. a_4 = 2
5. a_5 = 5
6. a_6 = 8
(b) a_n = (1 + (-1)^n) ^n
1. a_1 = 0
2. a_2 = 4
3. a_3 =0
4. a_4 = 16
5. a_5 = 0
6. a_6 = 32
If possible, find A − B.
Answers
Answer:
-2 7
-1 -6
Step-by-step explanation:
I used a calculator.
Help me! Sorry for the other question.... let’s try it again! 1/2 x + 3/5 x = 5/4
Answers
Answer:
x = 1 3/22
Step-by-step explanation:
1/2 x + 3/5 x = 5/4
We need to get rid of the fractions by multiplying by 20 on each side
20 (1/2 x + 3/5 x) = 20 * 5/4
Distribute
10x + 12x = 25
Combine like terms
22x = 25
Divide each side by 22
22x/22 = 25/22
x = 22/22 + 3/22
x = 1 3/22
Answer:
[tex]x = 1\frac{3}{22}[/tex]
Step-by-step explanation:
=> [tex]\frac{1}{2} x + \frac{3}{5} x = \frac{5}{4}[/tex]
LCM = 20
So, Multiplying both sides by 20
=> [tex]20 (\frac{x}{2} + \frac{3x}{5}) = 5 * 5[/tex]
[tex]10 * x + 4*3x = 25\\10x+12x = 25\\22x = 25[/tex]
Dividing both sides by 22
[tex]x = \frac{25}{22}[/tex]
[tex]x = 1\frac{3}{22}[/tex]
Find the angle between (u= sqrt 5i) -8j and (v= sqrt 5i) +j. Round to the nearnest tenth of a degree.
Answers
Answer:
98.5
Step-by-step explanation:
The dude above do be wrong doh
Enter the coordinates of the point on the unit circle at the given angle. 150 degrees. please help!
Answers
Answer:
[tex]\boxed{(-\frac{\sqrt{3}}{2}, \frac{1}{2})}[/tex]
Step-by-step explanation:
Method 1: Using a calculator instead of the unit circle
The unit circle gives coordinates pairs for the cos and sin values at a certain angle. Therefore, if an angle is given, use a calculator to evaluate the functions at cos(angle) and sin(angle).
Method 2: Using the unit circle
Use the unit circle to locate the angle measure of 150° (or 5π/6 radians) and use the coordinate pair listed by the value.
This coordinate pair is (-√3/2, 1/2).
Answer: This coordinate pair is (-√3/2, 1/2).
Step-by-step explanation:
Use the unit circle to locate the angle measure of 150° (or 5π/6 radians) and use the coordinate pair listed by the value.
What is the reciprocal of (17h)/(46j)?
Answers
Answer:
I dont give the answer right away so you read what i write and fully understand :D
Step-by-step explanation:
The reciprocal of something is basically when you flip something over. Since 17h/46j is a fraction, the reciprocal is 46j/17h. Remember, a number times the reciprocal is always equal to one.
Answer:
46j over 17h
Step-by-step explanation:
a reciprocal fraction is formed by flipping the fraction around
for example:
2/3
reciprocal= 3/2 or 1.5
HOPE THIS HELPS!!! :)
What is the solution to the following system of equations?
|3x - 2y = 12
[6x - 4y= 24
It has infinitely many solutions.
It has no solution.
It has one solution (2, -3).
It has one solution (4,0)
Answers
Explanation:
3x - 2y = 12
-2y = -3x + 12
y = -3/-2x + 12
y = 3/2x + 12
6x - 4y = 24
3x - 2y = 12 (divide both sides by 2)
y = 3/2x + 12
When 2 lines have the same slope and the same y intercept it means that the solution is infinitely many.
Joey borrows 2000 from his grandfather and pays the money back in monthly payments of 200.
1. Write a lineat function that represents the remaining money owed L(x) after x months.
2. Evaluate L(10) and interpret the meaning in the context of this problem.
A. L(x) - 200x + 2,400; L(10) = 4,400, This represents the amount Joey has paid his grandfather after 10 months.
B. L(x) = 200x + 2,400; L(10) - 4,400, This represents the amount Joey still owes his grandfather after 10 months.
C. L(x) = -200x + 2,400; L(10) = 400, This represents the amount Joey has paid his grandfather after 10 months.
D. L(x) = -200x + 2,400; L(10) = 400, This represents the amount Joey still owes his grandfather after 10 months.
Answers
The correct question is;
Joey borrows $2400 from his grandfather and pays the money back in monthly payments of $200.
a. Write a linear function that represents the remaining money owed L(x) after x months.
b. Evaluate L(10) and interpret the meaning in the context of this problem.
A) L(x) = 200x + 2400; L(10) = 4400, This represents the amount Joey still owes his
grandfather after 10 months.
B) L(x) = -200x + 2400; L(10) = 400, This represents the amount Joey has paid his
grandfather after 10 months.
C) L(x) = 200x + 2400; L(10) = 4400, This represents the amount Joey has paid his
grandfather after 10 months.
D) L(x) = -200x + 2400; L(10) = 400, This represents the amount Joey still owes his
grandfather after 10 months.
Answer:
A) L(x) = 2400 - 200x
B) Option D is correct
Step-by-step explanation:
A) We are told that Joey borrowed 2400.
Now he pays back in installments of 200 every month.
Thus for x number of months he would have paid 200x.
Thus,the linear function that represents the remaining money owed is;
L(x) = 2400 - 200x
B) L(10) = 2400 - (200 * 10)
L(10) = 2400 - 2000
L(10) = 400
Thus, after 10 months, Joey is owing 400.
So, looking at the given options, the correct one is option D.
The process of producing pain-reliever tablets yields tablets with varying amounts of the active ingredient. The manufacturer claims each tablet has at least 200 milligrams of the active ingredient. The consumer Watchdog Bureau assumes the manufacturer claim is correct, but occasionally tests samples of the tablets to ensure they contain enough of the ingredient. The Consumer Watchdog Bureau tests a random sample of 70 tablets. The sample mean content of the active ingredient is 205.7 milligrams, while the sample standard deviation is 21 milligrams. What is the p-value for this test?
Answers
Answer:
The p-value is [tex]p-value = 0.013167[/tex]
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu[/tex] = 200 milligrams
The sample size is [tex]n = 70[/tex]
The sample mean is [tex]\= x = 205.7[/tex]
The sample standard deviation is [tex]\sigma = 21 \ milligram[/tex]
Generally the Null hypothesis is mathematically represented as
[tex]H_o : \mu = 200[/tex]
The Alternative hypothesis is
[tex]H_a : \mu < 200[/tex]
The test statistics is mathematically represented as
[tex]t_s = \frac{\= x - \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]
substituting values
[tex]t_s = \frac{ 205.7 - 200 }{\frac{21}{\sqrt{70} } }[/tex]
[tex]t_s = 2.270[/tex]
Now the p-value is mathematically represented as
[tex]p-value = P(Z \le t_s )[/tex]
substituting values
[tex]p-value = P(Z \le 2.270 )[/tex]
Using the Excel function[=NORMDIST(2.270)] to calculate the p-value we obtain that
[tex]p-value = 0.013167[/tex]
Answer:
A) 0.012
From CollegeBoard
Given: △ABC, AB=5√2 m∠A=45°, m∠C=30° Find: BC and AC
Answers
Answer:
BC = 10, AC= approximately 13.66 OR 5+5 √3
Step-by-step explanation:
Law of Sines