Answers
It is necessary that the for complementary angles then their measures sum to 90 degree.
According to the statement
We have to explain all about the complementary angles.
So, For this purpose, we know that the
Complementary angles are pair angles with the sum of 90 degrees.
From the given information:
We have to prove that the If two angles complementary, then their measures sum to 90.
Then
Contrapositive of p → q is ~q → ~p where p is that the hypothesis and q is that the conclusion.
Hypothesis (p) = Two angles are complementary
~p = Two angles aren't complementary
Conclusion (q) = The sum of their measures is 90°
~q = The sum of their measures isn't 90°
~ p → ~q = If the sum of the measures of two angles isn't 90°,
then they're not complementary angle.
So, It is necessary that the for complementary angles then their measures sum to 90 degree.
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Related Questions
Rewrite (128 + 32) using factoring. 2(124 +17) 4(32 + 8) 8(17 +4) 12(14+3)
Answers
The expression (128 + 32) when rewritten using factoring is 4(32 + 8)
How to rewrite the expression using factoring?The expression in the question s given as
(128 + 32)
Express the numbers 128 and 32 as the product of their factors
i.e. we factor out 4 from the expression
So, we have
(128 + 32) = (4 * 32 + 4 * 8)
Next, we factor out the common factor (i.e. 4) from the expression
So, we have
(128 + 32) = 4 * (32 + 8)
Rewrite the above expression as follows
(128 + 32) = 4(32 + 8)
Hence, the expression (128 + 32) when rewritten using factoring is 4(32 + 8)
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U and V are mutually exclusive events.
P(U) = 0.29
P(V) = 0.38
Part (a)
P(U AND V) =
Part (b)
P(UV)=
Part (c)
P(U OR V)=
Answers
Answers
P(U and V) = 0
P(U or V) = 0.67
========================================
Explanation:
P(U and V) = 0 since U and V are mutually exclusive. Such events cannot happen at the same time. Example: flipping a coin to get heads and tails at the same time.
-------
P(U or V) = P(U) + P(V) - P(U and V)
P(U or V) = 0.29 + 0.38 - 0
P(U or V) = 0.67
-------
I'm not sure about P(UV) since there doesn't seem to be enough information. Does your teacher mention if the events are independent or not?
6
Janelle wants to buy meat and vegetables for a
barbecue. At her grocery store, the cost per pound
of meat is x dollars, and the cost per pound of
vegetables is y dollars. The equation 6x + 3y = 42
shows how x and y are related when Janelle spends
a total of $42 on meat and vegetables. Based on the
equation, which of the following statements must be
true?
A) The cost per pound of meat is $6.
B) Janelle can buy a maximum of 7 pounds
of meat.
C) Janelle can buy a maximum of 14 pounds of
vegetables.
D) Janelle buys twice as many pounds of meat as
pounds of vegetables.
w 000 best mas la
afdi te ban o
ww. ayah year we
floods to abrov
ection
Answers
The correct response is D. Janelle buys twice as many pounds of meat as pounds of vegetables.
The number 6 in the equation indicates the number of pounds of meat that Janelle purchases, and the number 3 represents the number of pounds of veggies that she purchases.
This is because in the above equation, x is the cost per pound of meat and y is the cost per pound of vegetables. So it stands to reason that Janelle purchases twice as much meat as veggies.
Choice A is erroneous because x, which is used to indicate the price per pound of beef, might not be equal to 6. Choices B and C are erroneous because it is impossible to predict how many pounds of meat and produce Janelle could purchase without knowing the values of x and y.
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Following is partial information for Delamunte Industries for the month of August:
Work In Process
Balance, August 1 $ 41,000
Direct materials used 75,000
Direct labor 120,000
Manufacturing overhead applied (based on direct labor cost) 90,000
Jobs finished during August are summarized here:
Job # Cost of Jobs Completed
234 $ 58,000
237 65,000
231 74,500
246 67,500
Required:
At the end of August, only one job, Job 248, was still in process. The direct labor cost incurred on Job 248 as of August 31 was $24,000.
Calculate the predetermined overhead rate that was used to apply manufacturing overhead to jobs during August.
Determine the balance in Work in Process at the end of August.
Determine how much of the direct materials cost and applied overhead would be recorded for Job 248 as of August 31.
Answers
The predetermined overhead rate is $0.75, the balance in work for august is $61000. the direct material cost is $19000 and the applied overload is $18000
How to solve for the solutionsA. The predetermined overhead calculation
The formula = manufacturing overhead / direct labor
= 90000 / 120000
= 0.75
b. The balance in work sheet
Direct materials used 75,000 + Direct labor 120,000 + Balance, August 1 $ 41,000 + Manufacturing overhead applied (based on direct labor cost) 90,000
= $326,000
58,000 + 65,000 + 74,500 + 67,500 = 265000
The balance at the end of August = 326000 - 265000
= 61000 dollars
c. Applied overload = 0.75 x 24000
= 180000
direct material cost = 61000 - 24000 - 18000
= $19000
The summary of the solution is that the predetermined overhead rate is $0.75, the balance in work for august is $61000. the direct material cost is $19000 and the applied overload is $18000
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Simplify the follow expression show each step of ur work
-5 + -7 + 12
Answers
Answer:
0
Step-by-step explanation:
We just add left to right:
- 5 and -7 is -12
-12 plus 12 is 0.
aryl borrowed $5,876 for 6 years. If the loan's annual simple discount rate was 7.4%, how much did he have to return?
Answers
Aryl has to return $8484.944 after 6 years
WHAT IS SIMPLE INTEREST ?Simple interest is interest that is only based on the borrowed or deposited principal. The principal payment is multiplied by the interest rate, and the time factor is then included. Due to the fact that simple interest does not compound over time, investments grow more slowly.
CALCULATIONP = $5876
R = 7.4 %
T = 6 years
S I = P x R x T / 100
= 5876 x 7.4 x 6 / 100
= $2608.944
amount to be paid = 5876 + 2608.944
= $8484.944
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At a local concert hall, the owner charges $7 per ticket. The owner must pay his band
$1200. Every customer receives a brochure that costs the owner $2 for each person.
Answers
The number of people that must attend for him to break even
is 240.
Given that the owner charges $7 per ticket, every customer receives a brochure that costs the owner $2 for each person and the owner must pay his band $1200.
We are required to find the people must attend for him to break-even.
Break even point is the point at which there is not any profits or losses.
We have to first form the equation for the break even.
Suppose the number of people be x.
Cost to the owner will be 1200+2x.
Revenue will be 7x.
Break even point will be at the point where 7x=1200+2x
7x-2x=1200
5x=1200
x=240
Hence the number of people that must attend for him to break even
is 240.
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Question is incomplete. It should include the following line:
Calculate the break even level for the owner of local concert hall.
.--. .-.. . .- ... . / .... . .-.. .--. / -- . / --- ..- -
heres some morse code
Answers
Answer:Ok i will help you out
-11/4n - 1/8
Step-by-step explanation:
Cause yes and most likely is it
Source: Trust me + I did the math(dunno correct) just try tho
Milan has 4 shelves full of books. Each shelf has 9 books.
If 2 of her friends borrow 3 books each, what fractions of
books does she still have left on her shelves?
Answers
Step-by-step explanation:
She has 4 bookshelves and each one has 9 which makes
4x9 = 36
If she has two friends and they both take 3
2x3=6
how many books left?
36-6=30
which is
30/36 simplified is 5/6. Hope this helped you! :)
FIRST ANSWER GETS BRAINLIEST
I really need help with this question
Answers
Answer:
a. write an expression Melanie can use to determine her bank account balance after paying these bills and receiving money from her sister
Nina is making 4 pans of fudge to serve
after a music recital. For each pan, she needs 2/3
cup of condensed milk.
Draw a diagram to show two different ways that Nina could
measure the condensed milk needed for 4 pans of fudge.
Answers
The total number of condensed milk required is 8/3=2 2/3.
The total number of pan is 4
The condensed milk required for each pan is 2/3
The pieces of a whole are how fractions are described in mathematics. One or more objects may make up the whole. When we cut a piece of pizza in real life from the entire pizza, the part represents the percent of the pizza.
The total number of condensed milk is 4. 2/3= 8/3
For first pan let the measuring cup is 1/4 then the condensed milk is measured as
1/4 . 2/3 =1/6
For second pan let the measuring cup is 1/2 , then the condensed milk is measured as
1/2 . 2/3 = 1/3
Hence the total number of condensed milk required is 2 2/3.
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Use the graphs of f and g to evaluate the composite function.
f(g(-6))
Answers
Answer: 4
Step-by-step explanation:
f(x)=|x-5|
g(x)=-x-5
f(g(-6))=
f(-(-6)-5)=
f(6-5)=
f(1)=
|1-5|=
|-4|=4
A coin marked “0” and “1” is tossed an infinite number of times, the probability of 1 in any toss being equal to p 2 (0, 1). The resulting sequence (outcome) ! is parsed into consecutive blocks of increasing length: 2, 4, 6,..., etc. What is the likelihood that, in infinitely many of these blocks, the first half of the terms are either all 0’s or all 1’s?
Answers
It is very less possibilities that the first half of the terms are either all 0's or all 1's.
According to the question, the probability to toss the coins which are marked as 0 or 1 is: 2
And the getting favorable outcomes that is 0 or 1: 1
Therefore, the probability for the given possibility is written as:
P(A) = n(A)/n(S) = 1/2
Hence, for infinite times, it is the half of the possibilities that the first half is either 0 or 1.
What is probability?
Probability can be defined as the outcomes which can be predicted or which can be calculated. It is the ratio of the total number of the favored outcomes to the total number events. The value of the probability is always less than1.
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Suppose that you are taking a course that has 4 tests. The first three tests are for 100 points each and the fourth test is for 200 points. To get an B in the course, you must have an average of at least 80 percent on the 4 tests. Your scores on the first 3 tests were
79
,
77
, and
91
. What is the minimum score you need on the fourth test to get an B for the course?.
Answers
The minimum score needed on the fourth test to get a B grade for the course is; 153 points.
What is the minimum score required for a B ?It follows from the task content that the first 3 tests attract 100 points each while the fourth test attracts 200 points. On this note, it follows that the total number of points attainable is; 500 points.
To get 80%, one must get; (80/100) × 500 = 400 points.
Hence, the minimum score needed on the fourth test to get a B is; 400 - 79 - 77 - 91 = 153 points.
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The parents of the Newton Junior High School Choir want to make a robe for each of the 24 choir members. If each robe requires 2 5/8 yards of cloth, what is the total number of yards of cloth needed to make all the robes?
Answers
Answer:
63
Step-by-step explanation:
Select the correct answer.
The slope of line 2/3 is. Line mis perpendicular to line /.
What is the slope of line m?
Answers
Check out the attached photo
If four times a number is added to-7, the result is 3 more than twice the number what’s the number
Answers
Answer:
the number is 5
Step-by-step explanation:
let the number be x
4*(x)+-7=3+2x
4x-7=3+2x
2x=10
x=5
For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 35 N acts on a certain object, the acceleration of the object is 7m/s . If the force is changed to 20 N, what will be the acceleration of the object?
Answers
Answer:
4 m/s
Step-by-step explanation:
This is just a simple ratio question
35N=7M/s
20=Xm/s
We see that 7 is 1/5 of 35
20 is 4/7 of 35
4/7 of 7 is 4
ompletion Status: Moving to another question will save this response. uestion 2 Consider two events: E and F. We know that P(E)=P(F) = 0.7. Are the two events E and F disjoin a. No, because P(E) and P(F) add up to more than 1 b. No, because P(E and F) is unknown OC. No, because P(E) and P(F) are equal d. Yes Ly A Moving to another question will save this response. E C E
Answers
The correct option a. No, because the probabilities P(E) and P(F) add up to more than 1.
What is termed as the disjoint sets?Disjoint sets are the ones in which their intersection results in such a null set. In set theory, we sometimes notice that two sets have no common elements, or that the intersection of a sets is an empty set or null set. This is referred to as a disjoint set. For instance, if we have X = a, b, c and Y = d, e, f, we can say that given 2 sets are disjoint because they have no common elements.For the given condition;
P(E) = P(F) = 0.7
the sum of both will be.
P(E) + P(F) = 1.4
But, we know that probability can never be more than 1.
Thus, there must be some elements which are common in both sets, which makes the set disjoint.
Thus, events E and F are not disjoint events.
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Seven subtracted from seven times a number is 147. What is the number?
Answers
Answer:
I answered your duplicate question. Make sure to check out the answer, and I hope it helps!
Find an equation of the line that satisfies the given conditions. Through (1, −6); parallel to the line x + 2y = 6
Answers
y=1/2x-13/2 is equation of the line that satisfies the given conditions. Through (1, −6) and parallel to the line x + 2y = 6
What is slope intercept of line?y=mx+c
where m is the slope.
Firstly we need to find the slope of the line x - 2y = 6 by using slope intercept form, y=mx+c.
-2y=6-x
2y=x-6
y=1/2 x-6
m=1/2 slope of the line x - 2y = 6.
For parallel lines slope will be same.
Now Use y = mx + b and the point (1,-6) to find b, the y-intercept.
-6= (1/2)*1 + b
-6-1/2=b
-13/2=b
y=1/2x-13/2 is the equation of line.
Therefore y=1/2x-13/2 is the line parallel to x + 2y = 6.
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TRANSLATE INTO ALGEBRAIC EXPRESSION.
3 less than 4 times the square of a number
Number= -2
Answers
Landscaping boulders weigh 28 pounds each. Using b for the number of boulders and w for the weight, write an equation that relate the two variables.
Equation should begin with w =.
Answers
So if you multiply 28 and b you would get you answer
The answer will be w=28b
I am very confused with this question
Answers
Vertical Angles Theorem
E=31
Vertical Angles Theorem
F=72
180-(77+31)
180-108=72
Hope this helps.
When simplifying --7(3)(-10) + (-4), can you multiply 3 and -10 first and get the same result as multiplying - 7 and 3 first?
Explain.
Answers
Answer:
See explanation
Step-by-step explanation:
Yes
-7(3)(-10) + (-4) =
-7(-30) + (-4)= ==> multiply 3 and -10
210 - 4=206
-7(3)(-10) + (-4) =
-21(-10) + (-4)= ==> multiply -7 and 3
210 - 4=206
206=206 √
11
Select the correct answer.
The product of two numbers is 21. If the first number is -3, which equation represents this situation and what is the second number?
OA The equation that represents this situation is x-3=21. The second number is 24.
OB. The equation that represents this situation is 3x = 21. The second number is 7.
OC. The equation that represents this situation is -3x = 21. The second number is -7.
OD. The equation that represents this situation is -3 + x = 21. The second number is 18.
Reset
Next
Answers
Answer:
C
Step-by-step explanation:
Your company will generate $71,000 in annual revenue each year for the next seven years from a new information database. If the appropriate interest rate is 8.75 percent, what is the present value?
Answers
The present value of the annual revenue of $71,000 for seven years at 8.75% is $360,357.02
What is the present value?The present value represents the discounted value of future cash flows over a period.
The present value can be computed using the PV table, formula, or an online finance calculator, as follows:
Data and Calculations:N (# of periods) = 7 years
I/Y (Interest per year) = 8.75%
PMT (Periodic Payment) = $71,000
FV (Future Value) = $633,642.98 ($497,000 + $136,642.98)
Results:
Present Value (PV) = $360,357.02
Sum of all periodic payments = $497,000 ($71,000 x 7)
Total Interest $136,642.98
Thus, the present value of the annual revenue of $71,000 for seven years at 8.75% is $360,357.02
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Use algebra to write a quadratic equation that passes through points (1/2, 9/16) (1,9/2) (-1, 11/2)
Please help tyy!
Answers
The quadratic equation that passes through points (1/2, 9/16) (1,9/2) (-1, 11/2) are 1/2 = 81 a/256 - 9b/16 + c ,9/2= a + b + c and 11/2 = -a - b + c .
What is quadratic equation?Any equation containing one term in which the unknown is squared and no term in which it is raised to a higher power. The quadratic formula to solve a quadratic equation ax2 + bx + c = 0 is x = [-b ± √(b2 - 4ac)]/2a.
Given:
The given points are
(1/2, 9/16) (1,9/2) (-1, 11/2)
According to given question we have
We know the basic quadratic equation are
[tex]y = ax^{2} + bx + c[/tex]
We have 3 points we can plug in for (x, y) to create 3 simultaneous equations
The equation are at the points
1. (1/2, 9/16)
1/2 = 81 a/256 - 9b/16 + c
The equation are at the points
2. (1,9/2)
9/2= a + b + c
The equation are at the points
3. (-1, 11/2)
11/2 = -a - b + c
Therefore, the quadratic equation that passes through points (1/2, 9/16) (1,9/2) (-1, 11/2) are 1/2 = 81 a/256 - 9b/16 + c ,9/2= a + b + c and 11/2 = -a - b + c .
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HELP PLEASE!!!! Solve the following:
Answers
The solution to the equation (1/4)(12x - 5.6) = 0.5(3x + 0.7) gives the result x = 7/6
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equation:
(1/4)(12x - 5.6) = 0.5(3x + 0.7)
Opening the bracket gives:
3x - 1.4 = 1.5x + 0.35
x = 7/6
The solution to the equation (1/4)(12x - 5.6) = 0.5(3x + 0.7) gives the result x = 7/6
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On Olga's 16th birthday, her uncle invested $2,000 in an account that was locked into a 1.75% interest rate, compounded monthly. How much will Olga have in the account when she turns 18? Round to the nearest cent.
Answer is NOT $2,071.19
I can't figure it out, the only answer I get when putting the numbers into the formula is $2,071. I feel like the trick is the "locked" part. Although that seems normal. 16-17 is 1 year, and 17-18, is another, so 2 years. I'm not sure why the answer is wrong.
Answers
Step one:
given data
principal p= $2000
Rate r= 1.75% = 0.0175
time t= 18-16= 2years
> 8
~ 2.5
Required
The final amount of the compounded
principal
The compound interest formula is
A=P(1+r)^t
A=2000(1+0.0175)^2
A=2000(1.0175)^2
A=2000*1.0353
A=2070.6
