Answers
[tex]8 \sqrt{5} is \: the \: length[/tex]
Step-by-step explanation:
[tex]( {16})^{2} = ( {x})^{2} - ( {8})^{2} \\ 256 = {x}^{2} - 64 \\ 256 + 64 = {x}^{2} \\ \sqrt{320} = \sqrt{ {x}^{2} } \\ 8 \sqrt{5} = x[/tex]
Related Questions
What is the best prediction of the time required for
the oil spill to reach a diameter of 10 km?
A 147 days
B200 days
205 days
D233 days
Answers
Answer:
Step-by-step explanation:
It's 205
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 147 days. Then the correct option is A.
What is a quadratic equation?The quadratic equation is given as ax² + bx + c = y. Then the degree of the equation will be 2.
The table shows the connection between the width in kilometers of an oil slick and the time in days. A capability can be utilized to show this relationship.
The equation at (2.4, 1) will be given as,
2.4 = a (1)² + b (1) + c
2.4 = a + b + c ...1
The equation at (9.4, 2) will be given as,
9.4= a (2)² + b (2) + c
9.4 = 4a + 2b + c ...2
The equation at (21.1, 3) will be given as,
21.1 = a (3)² + b (3) + c
21.1 = 9a + 3b + c ...
Solve equations 1, 2, and 3 with the calculator, then we have
a = 2.35, b = -0.05, c = 0.1
Then the equation is given as,
y = 2.35x² - 0.05x + 0.1
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be
y = 2.35(10)² - 0.05(10) + 0.1
y = 235 - 0.5 + 0.1
y = 235.5
The value of y is nearer to the value of 233. Then the value of y will be 233 days.
The best prediction of the time required for the oil spill to reach a diameter of 10 km will be 233 days. Then the correct option is D.
More about the quadratic equation link is given below.
https://brainly.com/question/2263981
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The complete question is given below.
The table shows the relationship between the diameter of kilometers of an oil spill and the time in days. A function can be used to model this relationship.
What is the best prediction of the time required for the oil spill to reach a diameter of 10 km?
A) 147 days
B) 200 days
C) 205 days
D) 233 days
-3(1+6r)=14-r
in class need help
Answers
Answer:
r = -1
Step-by-step explanation:
-3(1+6r)=14-r
Distribute the -3
-3*1 -3*6r = 14-r
-3 -18r = 14 -r
Add 18r to each side
-3-18r+18r = 14-r+18r
-3 = 14+17r
Subtract 14 from each side
-3-14 = 14+17t-14
-17 = 17r
Divide by 17
-17/17 = -17r/-17
-1 =r
Which of these strategies would eliminate a variable in system of equations?
2x+3y=-5
2x-3y=10
A.add the equations.
B.subtract the bottom equation from the bottom equation.
C.multiply the top equation by 2,then add the equations.
Answers
Answer: (b) Multiply the top equation by 3, multiply the bottom equation by 2, then add the equations.
Step-by-step explanation: the strat would eliminate a variable in this system
Q. Three years ago, the population of a certain species of bird was calculated at 20 birds per acre
This year, a biologist recorded a total of 47 birds in an area equal to 3.25 acres. By about what
percentage has the bird population in the biologist's sample decreased over the last 3 years, to
the nearest tenth?
A. 14.7%
B. 27.7%
C. 38.3%
D. 42.6%
E. 72.3%
Answers
please help i’ll give you brainliest and a thanks
Answers
Answer:
[tex]3g + 40[/tex] and g= 60
Step-by-step explanation:
hope this helps have a good rest of your night :) ❤
express x^2 - 8x + 5 in the form (x - a)^2 - b where a and b are integers
Answers
Answer:
x^2 -8x + 5 = (x-4)^2 - 11
Step-by-step explanation:
Here we want to write the given expression in the form
x^2-8x + 5 can be written as follows;
(x-4)^2 = x^2 - 8x + 16
All we have to do is to subtract 11
Thus, we have it that;
x^2-8x + 5 = (x-4)^2 - 11
12 decreased by some number h
Answers
Answer:
12 - h
Step-by-step explanation:
6
Paul’s family is driving home from a trip. They plan to drive part of the distance each day for
3
3 days. Which choices show the amounts they could drive each day to complete the trip home? Select the two correct answers.
A
Day 1: 14
4
1
of the total distance home; Day 2: 38
8
3
of the total distance home; Day 3: 38
8
3
of the total distance home
B
Day 1: 12
2
1
of the total distance home; Day 2: 13
3
1
of the total distance home; Day 3: 24
4
2
of the total distance home
C
Day 1: 13
3
1
of the total distance home; Day 2: 12
2
1
of the total distance home; Day 3: 16
6
1
of the total distance home
D
Day 1: 25
5
2
of the total distance home; Day 2: 12
2
1
of the total distance home; Day 3: 25
5
2
of the total distance home
Answers
in the scale drawing what will the length of the West side be?
Answers
Solve for the variable
-7 + m = -15
Answers
-7 + -8 = -15
If both are -, the answer will be - as well
!!!!PLEASE HELP, PLATO TEST AND WILL GIVE FIRST CORRECT SERIOUS ANSWER BRAINLIEST!!!!
How many possible 3-digit area codes exist If 0 can't be the first digit, but digits can repeat?
A total of _?_ different 3-digit area codes exist.
Answers
The number of possible 3 - digit codes would be 900.
What is combination?"A combination is a way of selecting items from a collection."
For given situation,
It is a three digit code with 0 can't be the first digit.
This means the for this combination first digit can takes values from 1 - 9 and the second and third digits can take values from 0 - 9.
So, the number of possible 3 - digit codes would be,
9 × 10 × 10 = 900
Therefore, the number of possible 3 - digit codes would be 900.
Learn more about permutation and combination here:
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52,427 rounded to the nearest thousand
Answers
Answer:
52,000 to the nearest thousand
Answer:
52,000
Step-by-step explanation:
Determine the slope of the line that passes through the given points. Complete your work in the space provided.
(8.1) and (8,-4)
Answers
Answer:
0
Step-by-step explanation:
Slope formula y2-y1/x2-x1
-4-1/8-8
simplify
-5/0
slope is 0
ABCD is a trapezium
AD and BC are parallel
Work out the length of BD to 1 decimal place
Work out the length of CD to 1 decimal place
Answers
Answer:
a) 12.1
b) 15.1
Step-by-step explanation:
Hello someone please help ASAP!!
Answers
Answer:
B
Step-by-step explanation:
A rational function range or possible answer cant be zero since on a rational function we dont want what we call vertical and horizontal asymptote are when y=0 or when x=0 so it can be any real number except 0.
A six-sided number cube is rolled 300 times. Predict how many times you would expect to roll a 4.
A.
40
B.
50
C.
60
D.
100
Answers
Answer:
50 of 300 times
Step-by-step explanation:
There are 250 bricks used to build a wall that is 20 feet high how many bricks will be used to build a wall is 40 feet high?
Answers
Answer:
500 bricks.
Step-by-step explanation:
There are 250 bricks used to build a wall that is 20 feet high how many bricks will be used to build a wall is 40 feet high?
To solve e the above question, we have:
20 feet high = 250 bricks
40 feet high = x bricks
Cross Multiply
20 feet × x bricks = 40 feet × 250 bricks
x bricks = 40 feet × 250 bricks/20 feet
x bricks = 500 bricks
Therefore, 500 bricks will be used to build a wall is 40 feet high.
Please answer these 3 they are pretty simple tysm will mark brainliest
Answers
7: -69
8: -2+3-4 = -3
9: $ (5y+10)
SOMEONE PLEASE HELP ME WITH THISSS ASAP
Answers
Answer:
C
Step-by-step explanation:
Divide the numerator but the denominator to get a decimal. (That tip saved me in 6th grade)
You have $40 in a savings account and you deposit an equal amount into your account each week. After 8 weeks the account holds $128. Write an equation that represents the amount y (in dollars) of money in the account after x weeks.
Answers
Answer:
40+x=y
Step-by-step explanation:
Taylor's cat runs 15 miles in 30 minutes. At this rate how far will her can run in 3 1/2 hours?
Answers
Answer:
105 miles
Step-by-step explanation:
15 miles in half an hour so 30 miles each hour
30 miles*3 hours=90 miles
90 miles+15miles= 105 miles in 3 1/2 hours
Reuben hires a car. It costs £150, plus 85p for each mile he travels. When Reuben hires the car, its mileage is 27612 miles. When Reuben returns the car, its mileage is 28361 miles. How much did Reuben pay to hire the car?
Answers
Answer:
Cost of hiring a car = £63,815
Step-by-step explanation:
Cost of hiring a car = 150 + 85p
When Reuben hires the car, its mileage is 27612 miles. When Reuben returns the car, its mileage is 28361 miles.
Number of miles Reuben travelled = 28,361 miles - 27,612 miles
= 749 miles
Cost of hiring a car = 150 + 85p
= 150 + 85(749)
= 150 + 63,665
= 63,815
Cost of hiring a car = £63,815
I NEED HELP PRONTO!! THIS IS FOR A MIDTERM!!!!
The Johnson and Sloan families went to Taco Mania for lunch. The Johnsons bought 3 burrito meals and 4 taco meals for $48. The Sloans bought 6 burrito meals and 2 taco meals for $60. How much does each meal cost?
Answers
Answer:
Each burrito meal cost 8$
Each taco meal cost 6$
Step-by-step explanation:
Johnsons= 3b +4t =48
Sloans= 6b+2t=60
multiple johnsons by -2
so, now the johnsons are -6b+-8t=-96
add that to the sloans so, -6b+6b-8t+2t=-96+60
the b's cancel eachother out, so you are left with -6t= -36
divide each side by -6 and you will get t=6
then you can pick either formula, lets say sloans this time
so, 6b + 2(6)=60 so, 6b+12=60, subtract 12 from each side, to get 48
so 6b=48, divde each side by 6 and you will get b=8
Step-by-step explanation:
Answer:
Tacos-6
Burritos-8
Step-by-step explanation:
Multiply the first equation by -2,and multiply the second equation by 1.
−2(3b+4t=48)
1(6b+2t=60)
Becomes:
−6b−8t=−96
6b+2t=60
Add these equations to eliminate b:
−6t=−36
Then solve−6t=−36for t:
−6t=−36
−6t
−6
=
−36
−6
(Divide both sides by -6)
t=6
Now that we've found t let's plug it back in to solve for b.
Write down an original equation:
3b+4t=48
Substitute6fortin3b+4t=48:
3b+(4)(6)=48
3b+24=48(Simplify both sides of the equation)
3b+24+−24=48+−24(Add -24 to both sides)
3b=24
3b
3
=
24
3
(Divide both sides by 3)
b=8
Answer:
b=8 and t=6
Tessa bought stock in a restaurant for $277.00. Her stock is now worth $346.25. What is the percentage increase of the value of Tessa's stock?
Answers
Answer:
125%
Step-by-step explanation:
Divide 346.25 by 277
you get 1.25
multiply it by 100
Answer:
25%
Step-by-step explanation:
This is calculated this way:
$346.25/$277 = 1.25
Then subtract 1, because that part represents what Tessa had to start with. That leaves
0.25
That decimal equals 25%, and that is the answer.
which statements are true about the graph of Y is less than 2/3 X +1? Check all that apply
Answers
Answer:
the area below the line is shaded
Step-by-step explanation:
Maia has a total debt of $25. She is trying to pay back $2 each week for the next 8 weeks. If Maia is successful, which amount will represent the change in the amount of her debt?
+$16
-$16
+$10
-$10
can someone please help? i've been asking questions and nobody's been helping :(
Answers
Answer:
-16
Step-by-step explanation:
2(8)=16, 25+(-16)=current debt after 8 weeks
Find the missing side length.
12
15
X
Answers
225-144=81
square root of 81 is 9
answer is 9
Karen surveys a group of people to find out how many hours, in total, they had worked in the previous week. Her results are summarised in the histogram.
Answers
cubic feet= 1 cubic yard
Answers
Answer:
(1 yard) 3 = 1 3 yard*yard*yard = 1 yard*yard*yard = 1 cubic yard. Since 1 yard = 3 feet, we have.
1 cubic yard = (1 yard) 3 = (3 feet) 3 = 33 feet*feet*feet = 27 cubic feet.
Step-by-step explanation:
Find two numbers such that their sum is 10 and their
product is 22.
