Answer:
b = 115.4 feet
Step-by-step explanation:
b^2 = a^2 + c^2 - 2 (a)(b) x cos B
b^2 = 230^2 + 360^2 - 2(230)(360) x cos(38 degrees)
b^2 = 52,900 + 129,600 - 2(230)(360) x cos(38 degrees)
b^2 = 182,500 - 165,600 x cos(38 degrees)
b = [tex]\sqrt{(16,900)(cos(38)) }[/tex]
b = 115.4 feet
i hope this helps!! :)
Answer:
115.4 ft
Step-by-step explanation:
Ursula makes $5 for every 1 dog she walks. In the relationship between dollars earned and dogs walked, ________ is the dependent variable, which is often called ________.
Answer:
the answer is 6
Step-by-step explanation:
An album which originally cost p 900, mark up with 30%. What is the selling price? A. p 970.00 B. p 1070.00 C. p 1170.00 D.p 1270.00
The markup percentage specifies the amount by which the selling price is
raised above the cost price.
The correct option for the selling price is B. p 1,070.00Reasons:
The original cost of the album = p900
The mark up percentage = 30%
Required:
The selling price
Solution:
The percentage mark up is given by the difference between the price at
which an item is for sale and its cost expressed as a percentage.
[tex]\displaystyle Percentage \ mark \ up = \mathbf{\frac{Selling \ price - Cost \ price}{Cost \ price} \times 100}[/tex]
Therefore, we have;
[tex]\displaystyle 30 = \frac{Selling \ price - 900 }{900} \times 100[/tex]
[tex]\displaystyle 0.3 = \frac{Selling \ price - 900 }{900}[/tex]
900 × 0.3 = Selling price - 900
270 = Selling price - 900
Selling price = 900 + 270 = 1,070
The selling price is B. p 1,070.00
Learn more about percentage markup here:
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How many petrol tanks of capacity 1.2 * 10 ^ 4 litres each are required to empty 4.8 * 10 ^ 5 litres of petrol?
Answer:
40
Step-by-step explanation:
The number of tanks required is ...
(4.8·10^5 L)/(1.2·10^4 L/tank) = (4.8/1.2)·10^(5-4) tanks
= 4·10 tanks = 40 tanks
A sheet of plastic is 0.12 cm thick. The sheet of plastic is folded so that the folded sheet is twice as thick after each fold.
2. How thick will it be after 3 folds?
1. What is the least number of folds you have to make before the folded plastic is thicker than 3.6 cm?
Answer:
1. the plastic will be 0.48 cm thick after 3 folds
Step-by-step explanation:
20 times the difference of a number, z, and 7
Answer:
20(z-7)
Step-by-step explanation:
Solve.
x−8.2=−9.09
What is the solution to the equation?
Enter your answer in the box.
x =
Answer:
x = - 0.89
Step-by-step explanation:
x - 8.2 = - 9.09
x = - 9.09 + 8.2
x = - 0.89
Answer:
-0.89
Step-by-step explanation:
can someone help with this
Answer:
B and C
Step-by-step explanation:
The history museum charges a $30 fee plus $12 per student for a field trip.
The aquarium charges a $40 fee plus $10 per student. The lines in the graph
represent the cost of each field trip.
For what number of students will the total cost of each field trip be the same,
and what will that cost be?
Field Trip Costs
y = 40 + 10x
Cost ($)
120
140
100
90
80
70
60
50
40
30
20
10
y = 30 + 12x
1 2 3 4 5 6 7 8 9 10 11 12
Number of students
Answer:
5 students; $90
Step-by-step explanation:
A-P-E-X
Question is in picture please help will mark brainliest
Answer:
4+2(n-1)+5(n-1)
Step-by-step explanation:
We know the pattern always has a +5 to the previous term then plus the lowest unrepeatded even number, such as +0, +2, +4, +6, and so on. The next erm will be 36+5+8, which is 49. The nth then will be the first term+2(n-1)+5(n-1).
That will result in
4+2(n-1)+5(n-1)
Please give brainliest! Thank you!
Convert 30,000 ML into L
Answer:
30 liters
Step-by-step explanation:
To me it's kind of like multiplying and dividing.
So, what I did was 30,000 divided by 30 and got 1,000.
1,000 x 30 = 30,000.
That's what I did. You probably have your own way of doing it, but the answer is 30. I'm sorry if my explanation isn't good enough but I tried. Thanks for the question and enjoy your answer :)
To become a member of the book-of-the-month club there is a $40 sign-up fee and a $2 monthly fee. Write an equation in slope-intercept form that models this situation.
Answer:
y = 2x + 40
Step-by-step explanation:
slope-intercept formula: y = mx + b
x = number of months
y = total cost
slope is 2 and y-intercept is 40
-12x - 5y = 40
12x - 11y = 88
Answer:
(0, -8)
Step-by-step explanation:
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
6.4 divided by 43.52
Answer:
0.14705882352
Step-by-Step:
Just use a calculator and your answer should pop up.
Find the 60th term of the following sequence.
4, 8, 12,
Answer:
240
Step-by-step explanation:
Consider the graph.
Which function best represents the distance remaining, in miles, after
x
minutes?
f
(
x
)
=
10
7
x
+
35
f ( x ) = 10 7 x + 35
f
(
x
)
=
7
10
x
+
35
f ( x ) = 7 10 x + 35
f
(
x
)
=
−
7
10
x
+
35
f ( x ) = − − 7 10 x + 35
f
(
x
)
=
−
10
7
x
+
35
f ( x ) = − − 10 7 x + 35
Answer:
X=5
The factors of x^2 + 2x - 35 are
(X-5) (x+7)
Set x equal to zero & solve
X-5=0
X=5
Step-by-step explanation:
what is the slope of the line with the equation: y+6=24-2x
Answer:
The slope is -2
Step-by-step explanation:
y+6=24-2x
Subtract 6 from each side
y+6-6=24-6-2x
y = 18 -2x
Rewriting
y = -2x+18
This is in slope intercept form
y = mx+b where m is the slope and b is the y intercept
The slope is -2 and the y intercept is 18
A student says that the solution of 375 = x – 28 is 347. Explain the student’s error and find the correct answer
Answer:
x = 403
Step-by-step explanation:
We can start off by rewriting the equation as
x - 28 = 375
Next, we can further restate it as
375 + 28 = x
So, all we need to do to find the value of x is add 375 + 28, which is 403
Student Error
The student made the error of rewriting the equation incorrectly.
He/She/They subtracted 28 from 375 instead of adding.
Thus, they got 347
help me with this!!!
1. 81 1/2 x 27 1/3
2. 32x = 729
Answer:
1.
Step-by-step explanation:
1. 1.811/2=3.622 271/3=813
3.622*813=2,944.686
this is number one
2. 32x=729
divide both sides by 32
32x=729/32=
22.78125 approximate=22.8 or 23
HELP!!!
7 + y = ‐2
Please solve this WITH your math please don't just post the answer! Whoever does this first will get brainliest!
Answer:
y=-9
Step-by-step explanation:
7+y=-2
subtract 7 on both sides
Answer:
y= -9
Step-by-step explanation:
This is a one-variable equation.
7+y= -2
We can subtract 7 from both sides to isolate y
7 + y - 7= -2 - 7
After simplifying, we get
y= -9
Need help ASAP PLEASEEEEE
PLEASE DONT DELETE YOUR ANSWER THIS IS REALLY IMPORTANT !! :(
Answer:
(a) (4, -6)
Step-by-step explanation:
Try the values in the inequality and see which gives a true statement.
a) -3(4) +6 ≥ 5(-6) ⇒ -6 ≥ -30 . . . . true for (4, -6)
b) -3(2) +6 ≥ 5(3) ⇒ 0 ≥ 15 . . . . FALSE for (2, 3)
c) -3(-1) +6 ≥ 5(10) ⇒ 9 ≥ 50 . . . . FALSE for (-1, 10)
d) -3(6) +6 ≥ 5(-2) ⇒ -12 ≥ -10 . . . . FALSE for (6, -2)
Of course, if you're expecting only one right answer, you can stop after you found it.
Lauren did not pay her January FlashCard bill in full, so her February bill
has a finance charge added on. The average daily balance is $510.44, and the
monthly periodic rate is 1.3%. What should Lauren's finance charge be on her
February statement?
Answer:
12.76
Step-by-step explanation:
because 510.44 x 2.5%= 510.44 x 0.025= 12.76
hope this helps you guys have a great day to all of you guys
The finance charge would be the amount of $6.64 on Lauren's February statement.
What is the finance charge?
The finance charge is the multiplication of the average daily balance and the monthly periodic rate.
The finance charge = average daily balance × monthly periodic rate
The bill shows an average daily balance of $510.44, and the monthly periodic rate is 1.3%.
The finance charge = $510.44 x 1.3%.
The finance charge = $6.635
Round the nearest to the hundredth,
The finance charge = $6.64
Hence, the finance charge would be the amount of $6.64 on Lauren's February statement.
Learn more about the finance charges here:
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Rosena bought an 8 pack of donuts. The donuts cost $28.00 all together. What is the unit rate for the donuts in dollars?
Answer:
$3.50
Step-by-step explanation:
I hope this helps!
Answer:
$3.50 per Donut
Step-by-step explanation:
Well if the total cost is $28.00 and there were eight donuts, then out equation would be 8 x ____=28
So, 28/8=3.5
Plz help me thx
Simplify:
Answer:
4
Step-by-step explanation:
note that [tex]\sqrt{x^2}[/tex] = x , then
[tex]\sqrt{(2-\sqrt{5})^2 }[/tex] + [tex]\sqrt{(2+\sqrt{5})^2 }[/tex]
= 2 - [tex]\sqrt{5}[/tex] + 2 + [tex]\sqrt{5}[/tex] ← collect like terms
= 4
Adelita, Elena, Betina, and Bianca each work as a doctor, lawyer, teacher, or banker. From these clues, decide who is the doctor.
Answer: Adelita
Step-by-step explanation:
because if its going in order of the names by jobs then its adelita
3 kg of carrots cost £1.80
2 kg of carrots and 5 kg of potatoes cost a total of £3.45
Work out the total cost of 4kg of carrots and 2 kg of potatoes.
You must show all your working.
Step-by-step explanation:
Price of 3 kg carrots = 1.80
Price of 1 kg carrots = 1.80 ÷ 3 = 0.6
Price of 2 kg carrots = 0.6 x 2 = 1.2
Remaining amount = 3.45 - 1.2 = 2.25
Price of 5 kg potatoes = 2.25
Price of 1kg potatoes = 2.25 ÷ 5 = 0.45
Now
Cost of 4 kg of carrots = 0.6 x 4 = €2.4
Cost of 2 kg of potatoes = 0.45 x 2 = €0.9
The total cost of 4kg of carrots and 2 kg of potatoes is £3.30
What is the total cost?Total cost is the product of the cost of each unit and the number of units purchased.
As it is given that the cost of 3 kg carrot is £1.80, therefore, the cost of 1 kg of carrot can be written as,
[tex]\text{Cost of 1 kg carrot}=\dfrac{\text{Total cost of carrot}}{\text{Total amount of carrot}}[/tex]
[tex]=\dfrac{\£1.80}{3}\\\\= \£0.60[/tex]
Thus, the cost of 1 kg carrot is £0.60.
Now., as it is given that the cost of 2 kg carrot and 5 kg potatoes is £3.45, therefore, the cost of 5 kg potatoes can be written as,
[tex]\text{Total cost}=\text{Cost of 2 kg carrot}+\text{Cost of 5 kg potatoes}[/tex]
[tex]3.45= (0.60 \times 2) + \text{Cost of 5 kg Potatoes}\\\\\text{Cost of 5 kg Potatoes} = 2.25[/tex]
Further, the cost of each kg of potatoes can be written as,
[tex]\text{Cost of 1kg of potatoes}=\dfrac{\text{Cost of 5 kg Potatoes}}{\text{Total amount of potatoes}}[/tex]
[tex]=\dfrac{2.25}{5}\\\\=0.45[/tex]
Thus, the cost of each kg of potatoes is £0.45.
Further, the total cost of 4kg of carrots and 2 kg of potatoes can be written as,
[tex]\text{Total cost }=\text{Cost of 4kg of carrots} +\text{Cost of 2 kg of potatoes} \\\\\text{Total cost }=(4 \times 0.60)+(2\times 0.45)\\\\\text{Total cost }= 2.24+0.90=\£3.3[/tex]
Hence, the total cost of 4kg of carrots and 2 kg of potatoes is £3.30
Learn more about Total Cost:
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Solve for x
10/x+7 = 6
Give your answer as an improper fraction in its simplest form.
Answer:
-16/3
Step-by-step explanation:
i did math
Find the future value of an annuity due of $7,000 paid at the beginning of each 6-month period for 8 years if the interest rate is 8%, compounded semiannually. (Round your answer to the nearest cent.)
Answer: Im not sure but i think its 120,960
Step-by-step explanation: i know that there is 2 of the 6-month periods in a year and multiplied that by 8 and got 16. Then i did 7000x.08=560 and then i added that to 7000 and got 7560. FInally i multiplied that by 16 and got 120,960.
Which integer in the set has the smallest value (-17, -7, -12, 2)? A. 2 B. -7 C. -12 D. -17
The smallest integer from the given set {-17, -7, -12, 2} is -17, making option D the right choice.
An integer is a whole number that can be positive, negative, or zero and is not a fraction.
The integer values are in the following order: negative, zero, then positive.
The real value of a negative integer decrease as the number increases.
For positive integers, the real value increases as the number increases.
In the question, we have been asked for the integer with the smallest value in the set {-17, -7, -12, 2}.
As discussed above, we know the order for negative and positive integers.
Thus, arranging the set in ascending order, we get:
-17 < -12 < -7 < 2.
Thus, the smallest integer from the given set {-17, -7, -12, 2} is -17. Hence, option D is the right choice.
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a joker cap is in the form of a right circular cone of base radius 10.5cm and height 36cm. find the area of sheet to make 20 such caps....?
plz answer this
We know that
l² = r² + h²
l² = (10.5)² + (36)²
l² = 110.25 + 1296
l² = 1406.5
l = √(1406.5)
l = 37.5 cm
Now,
CSA of cone = πrl
=> 22/7 × 10.5 × 37.5
=> 22 × 1.5 × 37.5
=> 1237.5 cm²
Area of 20 caps = 20 × 1237.5
=> 24750 cm²
Answer:
24740 cm²
Step-by-step explanation:
First let us find the slant height (l) of the corn
l² = r² + h²
l² = (10.5)² + (36)²
l² = 110.25 + 1296
l² = 1406.25
l = √1406.25
l = 37.5 cm
Now let us use this formula to find the area of a corn
π r l
π × 10.5 × 37.5
1237.00 cm²
And now let's find the area of 20 caps or corns
1237.00 × 20
24740 cm²
Hope this helps you :-)
