Answer:
75°
Step-by-step explanation:
The angle is our unknown, so we will call it x. If x is the angle, then its complement is 90 - x (complementary angles add up to 90). The word "is" means "equals", and "5 times" is multiplying the complementary by 5:
x = 5(90 - x) so
x = 450 - 5x
Combine like terms to get
6x = 450 so
x = 75
The other angle, the complement to that angle, is 90 - 75 = 15
The larger angle is 75°
Fourteen students are surveyed about the books they read. Four students read only science fiction books. Three students read only fantasy books. Five students do not read science fiction or fantasy. How many students read both science fiction and fantasy?
The line graphed by the original function f(x)=13x+1 is translated to g(x)=13x−17 using the mapping statement f(x)↦f(x)+k. What is the value of k?
what is 10 times as much as 1.0
A population consists of 200 elements. we want to draw a simple random sample of 40 elements from this population. on the first selection, the probability of an element being selected is
The probability of an element being selected on the first selection of a simple random sample is 0.2.
Explanation:The probability of an element being selected on the first selection of a simple random sample can be calculated by dividing the size of the sample (40) by the size of the population (200).
In this case, the probability is 40/200 = 0.2.
6x^2-5x+1
Factor polynomial
One inlet pipe can fill an empty pool in 4 hours, and a drain can empty the pool in 8 hours. how long will it take the pipe to fill the pool if the drain is left open?
Given that one inlet pipe can fill an empty pool in 4 hours. The outlet pipe can empty the pool in 8 hours. We know that rate x time = work done.
Rate = work done / time
Rate of inlet pipe = ¼ hours.
Rate of outlet pipe = 1/8 hours
Here 1 represent the work completed.
Let x be the time taken to fill the pool by the inlet pipe if the drain is left.
Work done by inlet pipe – work done by outlet pipe = 1 work completed.
x/4 – x/8 = 1.
To solve the rational equation, first we clear the fractions by multiplying it with LCD (4,8)=8 to each item.
8(x/4) – 8(x/8) = 8(1)
2x – x = 8
X = 8
Time taken for the pipe to fill the pool if the drain is left open = 8 hours
Explain the difference between a population and a sample. choose the correct answer below.
for a school field trip, there must be 1 adult to accompany 12 students, 3 adults to accompany 36 students, and 5 adults to accompany 60 students. Show that the relationship between the number of adults and the number of students is a proportional relationship. then write an equation for the relationship?
If m<1 is twice the measure of its complement (<2), then determine the measure of each angle.
Write y-6x-9=0 in function notation
Which of the following sets is a function?
{(0, 1), (-2, 8), (5, 19), (2, 8)}
{(1, 0), (11, 0), (-5, 7), (1, 9)}
{(17, -8), (1, 16), (53, 9), (1, 23)}
What events forced the passengers on the mayflower to write and sign the mayflower compact? -?
Consider a machine that exchange quarters for dollar bills. Inserting one dollar bill returns four quarters and you may insert up to five one dollar bills at a time. Is 7 a possible input for the relation this change machine represents ?
Which of the following terms are like 3x^2y? Select all that apply.
3xy
3x^2y^2
-10x^2y
12xy^2
12x^2y
When exchanging from your currency to another country’s currency using a foreign rate exchange table, you should ____.
Can a 3 foot-by-9 foot rectangle be a scaled copy of a 3 foot-by-1 foot rectangle? Explain
bill is on the school archery team. the target has a center bull's-eye and two rings around the bull's-eye. the table gives the probabilities of each outcome. what is the probability that bill will get the next arrow in the inner or outer ring?express your answer as a decimal
add the 2 probabilities together:
0.297 + 0.423 = 0.72
Answer is C
To determine the probability that Bill will hit the inner or outer ring, you would subtract the probability of hitting the bull's-eye from 1, assuming there are no other sections on the target. If the probability of hitting the bull's-eye is 0.70, the combined probability for the inner or outer ring would be 0.30.
Explanation:The question asks about the probability that Bill will hit either the inner or outer ring on an archery target, knowing that he hits the bull's-eye with certain probabilities. To find this probability, we need additional information that specifies the probabilities of hitting the inner and outer rings. Assuming we know the probabilities of all possible outcomes (inner ring, outer ring, and bull's-eye), we would add together the probabilities of hitting the inner and outer rings to get the total probability of hitting one of those two sections.
If hitting the bull's-eye has a probability of 0.70 (70%), and since the sum of all possible probabilities must equal 1 (100%), the combined probability of hitting either the inner or outer ring would be 1 - 0.70 = 0.30 or 30%. This assumes there are no other sections to hit on the target. The probability in decimal form would be 0.30.
Find the distance between the given points . find the midpoint of the segment with the given endpoints. round to the nearest tenth, if necessary
the value of a new automobile depreciates 15% during the first year, and 16% during the second year. What is its depreciated value at the end of the second year if its original cost was $15,000
A dealer purchased a car for $29,700 and marked it up 12% what is the sticker price of the car
Answer: $ 33264
Step-by-step explanation:
Since, the original price of the car = $ 29,700
Marked up price = 12 % greater than the original price of the car
= Original price of the car + 12% of the original price of the car
= 29700 + 12% of 29700
= 29700 + 0.12 × 29700
= 29700 + 3564
= 33264
Hence, the marked price of the car = $ 33264
Urgent PLEASE!!!!!!!!!!!!!!!!!!
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, determine which system of inequality best explains whether the company can build 20 child bikes and 6 adult bikes in the week.
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
20(4) +6(6) = 80 +36 = 116 total building time
20(4) +6(4) = 80 +24 = 104 total testing time ( this is greater than the allowed 100 hours)
Answer is: No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Answer:
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Step-by-step explanation: got 2 ur my streaks back up my n1g but i agree with the other person feel me.
The family is going on a vacation they will drive 4,180 miles over two weeks about how many miles will they drive on average each day
Answer:
About 298 miles a day for two weeks because 4180/14=298.571428571
Step-by-step explanation:
Have a great day
In one day, the family will cover 298.57 miles
What is unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying it with the value of a single unit.
Given is a family which is going on a vacation they will drive 4,180 miles over two weeks
Now, in two weeks the family will drive = 4180 miles
This means that -
In 14 days, the family will cover 4180 miles.
Then, in one day, the family will cover (4180/14) or 298.57 miles
Therefore, in one day, the family will cover 298.57 miles
To solve more questions on unitary method, visit the link below-
brainly.com/question/18174151
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If EF=2x-5, FG=3x-6, and EG=19 find the values of x, EF, and FG. The drawing is not to scale.
a. x = 6, EF = 17, FG = 24
b. x = 1, EF = 7, FG = 12
c. x = 1, EF = -3, FG = -3
d. x = 6, EF = 7, FG = 12
Polygon ABCD goes through a sequence of rigid transformations to form polygon A′B′C′D′. The sequence of transformations involved is a reflection across the ___ , followed by a reflection across the line ___.
Answer:
y = x linex = 0 lineStep-by-step explanation:
The polygon ABCD showed in the image attached is first reflected across the y = x line, from the second quadrant to the fourth quadrant. This reflection will result like the second image.
Then, it's reflect across the y-axis, which in terms of lines would be x = 0 line. This reflection will be like the last position showed in the first image, it's a common reflection with y-axis as a mirror.
Can someone help me with this question?
PLEASE HELP ME ANSWER THIS
Answer:
25
Step-by-step explanation:
It is the product of the 3rd row of the first matrix with the second column of the second matrix:
(5)(8) +(-2)(6) +(1)(-3) = 40 -12 -3 = 25
Tracey paid $170 for an item that was originally priced at $580. What percent of the original price did Tracey pay? Round your answer to two decimal places.
Question 2 says: With out multiplying, determine the sign of the product
(19)(-2)(37)(-0.8)(122)
A.Positive
B.Negative
C.The product is zero
y equals 5x proportional or non-proportional
For the curve y = ln(x 2 − 3), find the equation of the tangent line at (2, 0).