Determine the unknown angle measures of ADEF.Round to the nearest degree.m2D23.5m2 =24.3D33.8F
Answers
Given:
The sides of the triangle ABC are given
a=7, c= 8 and b= 13.
To find
The angle C.
Explanation:
To find angle C , use the cosine rule.
\(c^2=a^2+b^2-2ab\cos C\)Substitute the values in the cosine rule.
\(8^2=7^2+13^2-2\times7\times13\cos C\)\(64=49+169-182cosC\)\(182\cos C=49+169-64\)\(182\cos C=154\)\(\cos C=\frac{154}{182}\)\(C=\cos ^{-1}(0.846)=32.2^{\circ}\)Answer :
Hence the angle C is obtained as 32.2 degree.
Related Questions
how do I find the first five terms of the geometric sequence?
Answers
To find the next term of a geometric sequence, the previous term is multiplied by the common ratio r.
\(\begin{gathered} r=\frac{1}{2} \\ a_{1=}20 \\ a_2=20\times\frac{1}{2}=10 \\ a_3=10\times\frac{1}{2}=5 \\ a_4=5\times\frac{1}{2}=\frac{5}{2} \\ a_5=\frac{5}{2}\times\frac{1}{2}=\frac{5}{4} \end{gathered}\)An interviewer officer selects a person not suitable for the job is:
Select one:
a. Two Directional Bias
b. None of these
c. Three Directional Bias
d. Unbaised Error
e. one direction Bias
Note: Answer B is NOT the correct answer. Please find the correct answer. Any answer without justification will be rejected automatically.
Answers
The interviewer should provide clear and concise feedback on the candidate's performance in the interview, and ensure that the feedback is related to the job requirements.
In addition, the interviewer should ask relevant questions to get an idea about the interviewee's knowledge, skills, and abilities.Overall, the interviewer should strive to be fair and objective throughout the interview process, to minimize the risk of Unbiased Errors.
An interviewer officer selects a person not suitable for the job, this error is known as Unbaised Error.What is an Unbiased Error?An Unbiased error happens when you make an incorrect judgment regarding the interviewee, which may occur when the interviewer is unable to assess the interviewee objectively.
There are many factors that could contribute to an Unbiased Error, such as the interviewer's opinions and preconceptions, their biases or prejudices, the interviewer's inadequate understanding of the job requirements, or the applicant's inadequate preparation for the interview.In an unbiased interview, the interviewer does not have any preconceived ideas or predetermined judgments about the interviewee's knowledge, skills, or abilities.
The interviewer should be able to provide equal chances for all applicants, regardless of their gender, ethnicity, or any other factors that are not related to the job requirements.The interviewer should also assess the interviewee objectively, with no favoritism or bias.
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2. what is the correct r code to build a linear regression model with response variable y and explanatory variable x? a. lm(y~x) b. lr(y~x) c. lm(y
Answers
The correct r code to build a linear regression model with response variable y and explanatory variable x is option a. lm(y~x).
The code lm(y~x) will create a linear model with y as the response variable and x as the explanatory variable.
The lm() function in r is used for linear regression, and the formula y~x indicates that y is the response variable and x is the explanatory variable. The other options, lr(y~x) and lm(y, are not correct r code for building a linear regression model.
In summary, the correct r code for building a linear regression model with response variable y and explanatory variable x is lm(y~x).
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Volume! please help will give brainiest
Tysm!!! please add reasoning if possible
Answers
Answer:
volume = base area * height
Step-by-step explanation:
\(1 \div 2 \times 6 \times 5 \times 11.5 =172.5in3\)
Suppose that the director of manufacturing at a clothing factory needs to determine whether a new machine is producing a particular type of cloth according to the manufacturer’s specifications, which indicate that the cloth should have a mean breaking strength of 70 pounds and a standard deviation of 3.5 pounds. A sample of 49 pieces reveals a sample mean of 69.1 pounds.
(a) State the null and alternative hypotheses.
(b) Is there evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength? (Use a 0.05 level of significance.)
(c) Compute the p-value and interpret its meaning.
(d) What will your answer be in (b) if the standard deviation is 1.75 pounds?
(e) What will your answer be in (b) if the sample mean is 69 pounds?
Answers
Answer:
a.H0 : u1= u2 against Ha : u1≠ u2 This is a two sided test
b) There isn't enough evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength.
c) the p- value is 0.0359*2= 0.0718. It is greater than the value of ∝ so there isn't enough evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength.
d) There is enough evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength.
e) There isn't enough evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength.
Step-by-step explanation:
Formulate the null and alternative hypotheses as
a) H0 : u1= u2 against Ha : u1≠ u2 This is a two sided test
Here ∝= 0.005
For alpha by 2 for a two tailed test Z∝/2 = ± 1.96
Standard deviation = s= 3.5 pounds
n= 49
The test statistic used here is
Z = x- x`/ s/√n
Z= 69.1- 70 / 3.5 / √49
Z= -1.80
Since the calculated value of Z= -1.80 falls in the critical region we reject the null hypothesis.
b) There isn't enough evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength.
c) the p- value is 0.0359*2= 0.0718. It is greater than the value of ∝ so there isn't enough evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength.
d) If standard deviation is 1.75 pounds
The test statistic used here is
Z = x- x`/ s/√n
Z= 69.1- 70 / 1.75 / √49
Z= -3.6
This value does not fall in the critical region.
d) There is enough evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength.
e) If the sample mean is 69 pounds
Z = x- x`/ s/√n
Z= 69.1- 69 / 3.5 / √49
Z= 0.2
This value falls in the critical region
e) There isn't enough evidence that the machine is not meeting the manufacturer’s specifications in terms of the average breaking strength.
A rectangle has a width of 9 inches and a length of 15 inches. If the rectangle is enlarged by a scale factor of 3/2, what is the perimeter of the dilated rectangle
Answers
Answer:
P = 48 in²
Step-by-step explanation:
Given: A rectangle; Width = 9 inches, length = 15 inches, enlarged by a scale factor of \(\frac{3}{2}\)
To find: Perimeter of the dilated rectangle
Formula: \(P=2(l+w)\)
Solution: After a dilation with a scale factor of one-half, then the lengths on the image would be one-half , one-half , and one-half . To find the perimeter of an enlarged figure, you can multiply the original figure's perimeter by the scale factor.
\(P=2(l+w)=2\) × \((15+9)=48in\)
Therefore, the perimeter of the detailed rectangle that was enlarged is 48 in²
Answer:
it's 9in
Step-by-step explanation: i got it right on my test
1. Global warming creates local problems. Projections forecast that even a moderate air temperature increase of only 1.8 °F could cause brook trout distributions to decrease dramatically. For example, such a temperature increase would take Washburn county's 19 ponds that support brook trout down to 10 ponds. What would be the percent decrease in the number of ponds that support brook trout?
Answers
The percent decrease in the number of ponds that support brook trout would be approximately 47.37%.
To calculate the percent decrease in the number of ponds that support brook trout, we need to determine the difference between the initial number of ponds and the final number of ponds, and then express that difference as a percentage of the initial number of ponds.
Initial number of ponds: 19
Final number of ponds: 10
To calculate the percent decrease, we can use the following formula:
Percent Decrease = (Difference / Initial Value) * 100
Let's apply this formula to the given data:
Difference = Initial number of ponds - Final number of ponds
Difference = 19 - 10
Difference = 9
Percent Decrease = (9 / 19) * 100
Now, let's calculate the percent decrease:
Percent Decrease = (9 / 19) * 100
Percent Decrease ≈ 47.37%
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What is the surface area of the image below I’ll give b brainliest
Answers
Answer:
50(5π + 6) cm²
Step-by-step explanation:
TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle
= 1/2 of 2πr(h+r) + 20*15
= πr(h+r) + 300
= 10π(15+10) + 300
= 250π + 300 cm²
or 50(5π + 6) cm²
There is some algebra in it I think! Thanks!! (I’ll add extra points and brainly just ask:)
Answers
Answer:
C. 27
Step-by-step explanation:
27 + 23 = 50
:)
Answer: hii :)
i know this oneeeee ^^ your answer is 27 <3
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
hopefully this helps you
- Matthew ~
Let f(x) = x ^ 2 + 5 and g(x) = sqrt(x - 5) Find the rules for (fg)(x) (gf)(x)
Answers
Answer:
To find the rules for (fg)(x) and (gf)(x), we need to evaluate the composite functions.
(fg)(x) = f(g(x)) = f(sqrt(x - 5)) = (sqrt(x - 5))^2 + 5 = x - 5 + 5 = x
(gf)(x) = g(f(x)) = g(x^2 + 5) = sqrt(x^2 + 5 - 5) = sqrt(x^2) = |x|
Therefore, the rules for (fg)(x) and (gf)(x) are:
(fg)(x) = x
(gf)(x) = |x|
Step-by-step explanation:
We are given that y=-x+2. Let's substitute this
expression into the first equation and solve for x as
follows:
5 x-7 y =58
5 x-7 · (-x+2) =58
5 x+7 x-14 =58
12x =72
Finish the work above. What is x ? x=__
Answers
The value of x in the equation is calculated as: x = 6.
How to Solve an Equation?To solve the equation in order to find the value of x, we are to do the following as explained below.
By substitution, replace the y for -x + 2) into the equation, 5x - 7y = 58:
5x - 7(-x + 2) = 58
Apply the distributive property to open the parentheses:
5x + 7x - 14 = 58
Combine like terms
12x - 14 = 58
Add 14 to both sides:
12x - 14 + 14 = 58 + 14
12x = 72
Divide both sides by 12
12x/12 = 72/12
x = 6
The value of x = 6.
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Please help me with this!
1) express the original claim in symbolic form
2) identify the null and the alternative hypotheses
Answers
The alternative hypothesis is often abbreviated as Ha or H1. When the alternative hypothesis is written using mathematical symbols, it always includes an inequality symbol (usually ≠, but sometimes < o
What is hypothesis?
A hypothesis is a theory put up to explain a phenomenon. A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientists typically build their scientific ideas on prior observations that cannot be adequately explained by the current body of knowledge.
In statistics, the null hypothesis is usually denoted by letter H with subscript '0' (zero), such that H0. It is pronounced as H-null or H-zero or H-nought
At the same time, the alternative hypothesis expresses the observations determined by the non-random cause.It is represented by H1 or Ha.
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Which of the following equations are equivalent? Select three options. 2 + x = 5 x + 1 = 4 9 + x = 6 x + (negative 4) = 7 Negative 5 + x = negative 2
Answers
The three equivalent equations are 2 + x = 5, x + 1 = 4 and -5 + x = -2. So, correct options are A, B and E.
Two equations are considered equivalent if they have the same solution set. In other words, if we solve both equations, we should get the same value for the variable.
To determine which of the given equations are equivalent, we need to solve them for x and see if they have the same solution.
Let's start with the first equation:
2 + x = 5
Subtract 2 from both sides:
x = 3
Now let's move on to the second equation:
x + 1 = 4
Subtract 1 from both sides:
x = 3
Notice that we got the same value of x for both equations, so they are equivalent.
Next, let's look at the third equation:
9 + x = 6
Subtract 9 from both sides:
x = -3
Since this value of x is different from the previous two equations, we can conclude that it is not equivalent to them.
Now, let's move on to the fourth equation:
x + (-4) = 7
Add 4 to both sides:
x = 11
This value of x is also different from the first two equations, so it is not equivalent to them.
Finally, let's look at the fifth equation:
-5 + x = -2
Add 5 to both sides:
x = 3
Notice that we got the same value of x as the first two equations, so this equation is also equivalent to them.
So, correct options are A, B and E.
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Complete question is:
Which of the following equations are equivalent? Select three options.
2 + x = 5
x + 1 = 4
9 + x = 6
x + (- 4) = 7
- 5 + x = - 2
0.9t
t² + 64
Find the time
The concentration of a drug t hours after being injected is given by C(t) =
when the concentration is at a maximum. Give your answer accurate to at least 2 decimal places.
hours.
Calculator
Submit Question
Answers
Add one set of parentheses to the expression 2x² + 4 - 5 so that the value of the expression is 75 when x = 6.
Answers
Answer:
2(x^2 +4)-5
Step-by-step explanation:
6^2= 36
36+4= 40
40x2=80
80-5=75
6(6^2 + 4) -5
Jasmine bought a game system
that cost $299 before tax. The total
including sales tax was 1.07 times
the price. A discount was then
applied by multiplying the total price
by 0.90. What was the total cost of
the game system including the sales
tax and discount?
Answers
9514 1404 393
Answer:
$287.94
Step-by-step explanation:
The final cost is found by multiplying the cost by the various factors:
$299 × 1.07 × 0.90 ≈ $287.94
which equation models the same quadratic relationship as function f? f(x)=x^2+12x+4 a) y=(x-6)^2+40 b) y=(x+6)^2-32 c) y=(x-6)^2-32 d) y=(x+6)^2+40
Answers
9514 1404 393
Answer:
b) y=(x+6)^2-32
Step-by-step explanation:
Add and subtract the square of half the x-coefficient to put into vertex form.
f(x) = x^2 +12x +4 . . . . . given
y = x^2 +12x +36 +4 -36 . . . . add and subtract (12/2)^2 = 36
y = (x +6)^2 -32 . . . . . . . . . . . write in vertex form
Answer:
B. Y=(x+6)²-32Step-by-step explanation:
hope it helps
Which choice is equivalent to the quotient shown here when x>0?
√35x5/√7x³
Answers
The choice that is equivalent to √35x5/√7x³ is x√5 option A
How to simplify the expression?The expression is written in index form.. And the given expression is √35x5/√7x³
This can be expressed as follows:
√35x^5 ÷ √7x^3 = √(35x^5 / 7x^3)
Simplify further to get
At this point we have considered the common terms in the terms
√(35x^5 / 7x^3) = √(5x^5 / x^3)
√(5x^5 / x^3) = √5x^(5-3) = √5x²
Considering the square roots on each term we have
√5x² = x√5
Therefore the equivalent term is x√5
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Two slices of Horace's Pizza have 240 Calories in total. How many Calories would you expect to be in 5 slices of the same pizza?
Answers
Suppose that each quarter at a particular community college Jared has to pay $736 in tuition and
$37 in fees.
If Jared has 4 quarters remaining, find the total amount he will need for tuition and fees.
Answers
Logically reasoning out the value to the question as $3092.
What is Logical Reasoning?
The ability of a candidate to comprehend and reason logically through concepts and issues stated in language is referred to as logical reasoning (verbal reasoning). It evaluates the reader's capacity for gleaning meaning, details, and connotations from the bulk of said text and using them effectively. Before you can answer the questions, you must comprehend the vocally presented logics.Quarter 1:
Tuition amount= $736
Fees= $37
Total amount= 736+37 = $773
Quarter 4:
Remaining=4
Total = 4X 773 = $3092
Logically reasoning out the value to the question as $3092.
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The histogram provided summarizes the high temperature recorded each day for one month. Which of the following conclusions is accurate accordin
the data provided?
A The temperatures were generally increasing throughout the first few weeks of the month.
B The most frequently recorded high temperature during the month was 78 degrees.
C There were fewer days with high temperatures between 77 and 80 degrees than between 65 and 76 degrees.
D There were an equal number of days with high temperatures of 81 degrees or higher and days with high temperatures of 76 degrees or lower.
PLS ANSWERR
Answers
Answer:
Step-by-step explanation:
Given the histogram provided, it is not possible to draw a conclusion as it doesn't show any data.
A histogram is a graphical representation of a dataset, showing the frequency of each data point in a specific range. The x-axis shows the range of data points, and the y-axis shows the frequency of each data point. Without the data, it's impossible to draw any conclusion.
In order to draw a conclusion, we need to know the data that the histogram represents, such as the range of temperatures, the frequency of each temperature, and the number of days in the month. Based on that information, we can draw conclusions about the data provided.
An installment loan is made for 36 monthly payments of $160.43. The loan carries an APR of 11%, and the finance charge associated with the loan is $875.48. Instead of making the twenty-fourth payment, the borrower decides to pay the remaining balance and terminate the loan. (Refer to an APR table as necessary.)
a. Use the actuarial method to determine how much interest will be saved by repaying the loan early.
b. By using the actuarial method, what is the total amount due on the day of the loan's termination?
c. Use the rule of 78 to determine how much interest will be saved by repaying the loan early.
d. By the rule of 78, what is the total amount due on the day of the loan's termination.
Answers
Anna is making 11 necklaces using 35 beads for each. How many beads (B) are needed to make all of the necklaces?
es
Answers
Step-by-step explanation:
11×35
11 necklaces and 35 beads per necklace
385
or 385 beads for all 11 necklaces
b=385
In the following diagram, ABCDABCD is a square. The coordinates of the vertices A,B,CA,B,C and DD are (3,3),(8,3),(8,8)(3,3),(8,3),(8,8) and (3,8)(3,8) respectively.
The square is dilated from the origin by a factor of 1111 to give A′B′C′D′A′B′C′D′.
What are the coordinates of point C′C′? (NEED THIS ASAP)
Answers
Answer:
Step-by-step explanation:
To dilate the square by a factor of 1111 from the origin, we need to multiply each coordinate by 1111.
The coordinates of point C are (8,8). So, to find the coordinates of point C' after dilation, we can simply multiply each coordinate by 1111:
x-coordinate of C' = 1111 * 8 = 8888
y-coordinate of C' = 1111 * 8 = 8888
Therefore, the coordinates of point C' are (8888, 8888).
Write a compound inequality to represent all of the numbers between -4 and 6.
Answers
Answer:
-4 < x < 6
Step-by-step explanation:
Write the slope-intercept form of the equation of the line that passes through the given points.
(1, 1) and (-3, -3)
Answers
Answer:
Slope=1
Step-by-step explanation:
Slope=y1-y2/x1-x2
Where x1,y1= (1, 1) and X2,y2=(-3, -3)
Slop=1+3/1+4
=4/4
=1
So the slope is 1.
Answer:
1
Step-by-step explanation:
Here,
x₁ = 1 and x₂ = (-3)
y₁ = 1 and y₂ = (-3)
Now,
Slope
= y₁ - y₂ ÷ x₁ - x₂
= ( 1 ) - (- 3) ÷ ( 1 ) - (- 3)
= 1 + 3 ÷ 1 + 3
= 4 ÷ 4 = 1
Thus, Slope is 1
-TheUnknownScientist
Which of the following numbers is the smallest?
.9
2.1
1.6
.28
6
Answers
in order from largest to smallest is 6, 2.1, 1.6, .9, and lastly .28
The number which is smallest would be; 0.28
What is the number pattern?A number pattern is a pattern in a series of numbers that represents the common relationship between the numbers.
We have to find the number which is smallest in the following term.
.9
2.1
1.6
.28
6
Therefore, in order from largest to smallest is 6, 2.1, 1.6, .9, and lastly .28
We can conclude that the largest to smallest is .28
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How much would Gwen and Lisa have to buy if they also had to replace the fence on their pool? Show how you found the answer.
Answers
To accurately determine the amount they would have to buy, we would need the specific measurements of the pool, the desired fence height and any other requirements they have.
To determine how much Gwen and Lisa would have to buy to replace the fence on their pool, we would need more specific information about the pool's dimensions, the type of fence they want, and any other relevant details.
Let's consider some factors that could affect the amount they would need to purchase:
Perimeter of the pool:
The length of the fence required would depend on the perimeter of the pool.
If we know the dimensions of the pool, we can calculate its perimeter by adding up the lengths of all sides.
Fence height:
The height of the fence is another important factor. Depending on local regulations or personal preferences, Gwen and Lisa might need a specific height for their pool fence.
This would determine the length of fencing material they need to purchase.
Fence type and style:
Different types of fences, such as chain-link, wood, vinyl, or wrought iron, have varying costs and installation requirements.
The choice of fence material and style will impact the amount they would have to buy.
Gates and openings:
If Gwen and Lisa require gates or openings in the fence, they would need to account for these as well.
The number and size of gates would affect the total amount of fencing material needed.
With these details, we can calculate the perimeter, account for gates and openings and factor in the material type and style to provide an estimate of the amount of fencing they need to purchase.
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Helppppppppppppppppp
Answers
Answer:
19.1 inches
Step-by-step explanation:
Spring is March - May, so the total rainfall for the spring is:
1.7 + 14.1 + 3.3 = 19.1 inches
solve for c.express your answer as a proper or improper fraction in simplest terms.
-7/3=2/3c-5/8
Answers
Answer:
c = -41/16
Step-by-step explanation:
You want to solve the 2-step linear equation -7/3=2/3c-5/8.
As isThe two steps for such an equation are ...
Step 1 - add the opposite of the constant on the side with the variable term.
-7/3 +5/8 = 2/3c -5/8 +5/8
-41/24 = 2/3c . . . . . . . . . . . . . simplify
Step 2 - multiply by the inverse of the coefficient of the variable.
(-41/24)(3/2) = (2/3c)(3/2)
-41/16 = c
Eliminate fractions first
Some folks like to solve equations like this by eliminating fractions as a first step. Here, that can be accomplished by multiplying the equation by 24 (the least common denominator).
(-7/3)(24) = (2/3c)(24) -(5/8)(24) . . . multiply the equation by 24
-56 = 16c -15 . . . . . . . simplify; fractions are gone
-41 = 16c . . . . . . . . . step 1, add the opposite of the unwanted constant
-41/16 = c . . . . . . . . step 2, divide by the coefficient of the variable