Step-by-step explanation:
the distance between 2 points can be seen as the Hypotenuse of a right-angled triangle with the legs being the x and y coordinate differences.
and so, we use Pythagoras
c² = a² + b²
with c being the Hypotenuse (the side opposite of the 90 degree angle).
distance² = (5 - 0)² + (2 - -2)² = 5² + 4² = 25 + 16 = 41
so, the distance is sqrt(41) = 6.403124237...
Find the surface area of the rectangular prism.
6 yd
2 yd
7yd
Answer:
136
Step-by-step explanation:
The formula you use is as follows:
A=2(WL+HL+HW)
You plug in each number to get this equation
A=2[(6*7)+(2*7)+(2*6)]
A=2(42+14+12)
A=2(68)
A=136
Poppy is the manager of a unisex hair salon.
The salon uses a mixture of three products for hair colouring
This table shows the number of millilitres (ml) of each product used for the mixture
Product
Amount
Colour
30ml
Developer
60ml
Conditioner
60ml
Poppy has the following amount of each product in stock
3.5 litres of Colour
0.5 litres of Developer
2.2 litres of Conditioner
The salon has about so appointments for hair colouring per month
Poppy can only order products in whole litres.
For next month, she thinks she has enough colour and conditioner in stock but she needs to
order 4 litres of developer
24 Is Poppy correct?
Explain your answers
Show your working
Examiner
use only
(5 marks)
The content of the mixture, which are the colour, developer, and
conditioner, are in a fixed proportion to each other.
Poppy is incorrect, she should order 3 liters of developer and 1 liter of conditioner.Reasons:
The table of the amount of each product used in the mixture are;
[tex]\begin{tabular}{|c|c|c|c|}Product&Colour&Developer&Conditioner\\Amount&30 ml&60 ml&60 ml\end{array}\right][/tex]
The number of appointment per month = 50
The quantities used per month have a proportional relationship
Quantity used a month are;
Colour = 30 ml × 50 = 1,500 ml
Developer = 60 ml = × 50 = 3,000 ml
Conditioner = 60 ml × 50 = 3,000 ml
Quantity available are;
Colour = 3.5 liters
Developer = 0.5 liters
Conditioner = 2.2 liters
The quantity needed = Quantity used - Quantity available
Therefore;
Quantity needed are;
Colour = 1,500 ml - 3,500 ml = -2,000 ml
Developer = 3,000 ml - 500 ml = 2,500 ml
Conditioner = 3,000 ml = 2,200 ml = 800 ml
Therefore, Poppy has enough colour but she needs 2,500 ml of developer and 800 ml conditioner
Therefore, she should order;
3,000 ml = 3 liters of developer
1,000 ml = 1 liter of conditioner
Therefore;
Poppy is incorrect, she should order 3 liters of developer and 1 liter of conditioner.
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-2.7f + 0.3f - 16 - 4=
Answer:
-2.4f or -8 1/3
Step-by-step explanation:
I am not sure what should be at the end of the equal sign but if it is to simplify it would be -2.4f-20
If you want to solve then you get -2.4f=20 so f=-20/2.4 which equal to -8 1/3
What is the value of X?
the assumption here is that both triangles are similar, if that's so, then we can use proportions to get the sides.
[tex]\stackrel{\textit{assuming both triangles are similar}}{\cfrac{x}{10}=\cfrac{15}{6x}\implies \cfrac{x}{10}=\cfrac{5}{2x}}\implies 2x^2=50 \\\\\\ x^2=\cfrac{50}{2}\implies x^2=25\implies x=\sqrt{25}\implies \boxed{x=5}[/tex]
The wheels on Jamie's bicycle are 3 feet
in diameter. Her younger sister Josie has
a bike with 12-inch wheels. What is the
ratio of Jamie's bike wheels to Josie's
bike wheels?
Answer:
a ratio of 3 or also 3/1 is a fraction is wanted
Two angles are complementary. The smaller angle is 34 degrees less than the larger angle. What is the measurement of the smaller angle?
Answer:
56
Complementary means 90
Subtract 34 from 90
90-34 = 56
Help a bro outttttttt
Answer:
15Step-by-step explanation:
pick any 2 sides
3x+6=6x-3
+3
3x+9=6x
-3x
9=3x
/3
x=3
3*9x=27
27-12=15
Find x round. your answer to the nearest tenth of a degree
Answer:
x = 55.6
Step-by-step explanation:
Recall the 3 main trig functions
Sin = opposite / hypotenuse
Cos = adjacent / hypotenuse
Tan = opposite / adjacent
Note that hypotenuse = longest side length
We want to find angle "x".
We are given its opposite side length ( 19 ) as well as the adjacent side length
When dealing with the opposite and adjacent we use tan
Tan = Opp / Adj
Opp = 19 and Adj = 13
Tan(x) = 19/13
* take the inverse tan of both sides *
x = 55.6
The Hu family goes out for lunch, and the price of the meal is $52. The sales tax on the meal is 6%, and the family also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?
Answer:
$65.52
Step-by-step explanation:
52 x 6% = 3.12. Multiply the price of the meal by the percentage of sales tax
52 x 20% = 10.4. Multiply the price of the meal by tip percent
$3.12 is the sales tax on the meal
$10.40 is the tip amount
$52 + $3.12 + $10.40 = $65.52
Add sales tax and the tip amount to the price of the meal to find the total
What expression is equivalent to 23x?
A.) 5(3x) + 8x
B.) 2x + 6x + 12x
C.) 4(4x + 2x)
D.) x + x + x + 19x
Answer:
multiply 5 times 3 that is equal to 15.
15 plus 8 is equal to 23 and add the x.
6.
In a decorative figurine shop, it takes of an hour to paint 8
identical ceramic figurines. How long does it take to paint one
figurine? At the same rate, how long would it take to paint 12
figurines?
The time it would take to paint one figurine is 0.125 hour.
The time it would take to paint 8 figurine is 1.5 hours.
The first step is to determine the average rate. Average rate is the total ceramic figurines painted divided by the total time.
Average rate = 8 /1 = 8 figurines / hour
In order to determine how long it would take to paint 8 figurines, divide 12 by the average rate.
1 / 8 = 0.125 hour
In order to determine how long it would take to paint 8 figurines, divide 12 by the average rate.
12 / 8 = 1.5 hours
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Find the value of sin D rounded to the nearest hundredth, if necessary.
Answer:
0.22
Step-by-step explanation:
So in this problem, we have to find the hypotenuse first, since sine is opposite over hypotenuse.
We can do this using the pythagorean theorem (you can search it if you don't know). Or, we can just remember this as one of our pythagorean triplets (9,40,41). The last side will be 41.
We have to find the value of sin(D)
opposite/hypotenuse = 9/41 = 0.2195 which is about 0.22
Select the correct answer from each drop-down menu.
What is the seventh step in the accounting cycle?
The fifth step in the accounting cycle is the preparation of trial balance. Further, the sixth step in an accounting cycle is the adjustments made in the .
Answer: The fifth step in the accounting cycle is the preparation of trial balance. Further, the sixth step in an accounting cycle is the Journaling adjustments made in the Worksheet (Trial Balance).
Step-by-step explanation:
The steps of the cycle in this course are as follows:
1. Analyze Financial Transactions
2. Journal Transactions
3. Post Journal Entries to Ledger
4. Prepare Trial Balance
5. Make Adjustments to Trial Balance
6. Journal Adjustments and Create Adjusted Trial Balance
7. Prepare Financial Statement
8. Journal and Post Closing Entries
9. Prepare Posting Closing Trial Balance
Accountants love to make up new words and make it complicated so they can get paid more, hence why the swapped the word 'Worksheet' with 'Trial Balance' :p
help please, i'm confused
Answer: C
Step-by-step explanation:
Answer huuhHH
Step-by-step explanation:
Michael paints a circular
tablc that has a diameter
of 19 inches. What is the
area of the table?
Answer:
90.25π
Step-by-step explanation:
The formula for solving the area of a circle is πr².
r is the radius. We can find the radius by splitting the diameter in half: 19/2 = 9.5.
We can apply the area formula and we get π9.5² and the answer is 90.25π.
HELP ME PLEASEEEE I WILL GIVE BRAINLIEST AND POINTS
Answer:
in my class just say the (x) mean number 1
Find the rule and the graph of the function whose graph can be obtained by performing the translation 3 units left and 2 units
down on the parent function f(x)=x^2
Answer: The graph for x cubed has a steep incline levels for a little before another steep incline
explanation: Since choice B is the only one that looks like this the answer is B
Jill and Tim have the same number of toy cars. Tim has 10 red cars and 20 blue cars. Jill has 8 red cars, 15 blue cars, and some yellow cars. How many yellow cars does Jill have?
Answer:
7 yellow cars
Step-by-step explanation:
Tim has 30 cars, so Jill has 30 as well. She has 8+15=23 red and blue cars. This means that there are 7 yellow cars.
A credit card company charges an annual simple interest rate of 24%. in august, your purchases totaled $956. How much will you pay for interest, if you pay off that debt in 2 years 3 months?
Answer:
83
I know because I did this problem a few years ago
HELPPPP PLEASE I will give brainliest and I put it up for 100 points
..................✨✨✨✨✨✨✨✨✨✨✨✨✨✨
Answer:
2xz⁵/y⁴Step-by-step explanation:
Given expression:
[tex]\frac{16x^2yz^{13}}{8xy^5z^8}[/tex]Simplify considering like terms:
16/8 = 2x²/x = xy/y⁵ = 1/y⁴z¹³/z⁸ = z⁵The simplified expression is:
2xz⁵/y⁴
Two trains are traveling at a constant rate. Which train has the greater speed?
What is the value of t in the equation 3(t − 4) = 2t + 1?
Answer: 13
Step-by-step explanation:
Distribute t.
Multiply 3 by each value in parentheses to get
3t - 12 = 2t + 1
Add 12 to both sides
3t = 2t + 13
Subtract 2t from both sides
t = 13
Answer:
t = 13
Step-by-step explanation:
[tex]3(t-4)=2t+1\\\\3t-12=2t+1\\\\t-12=1\\\\t=13[/tex]
Britney is trying out for the track team along with 24 other people nine people were running distance seven people were there to sprint three people are in the competition to throw Shotput and six people were there to polevault Britney was able to run a half a mile in six minutes and she finish seventh Place in the 100 m dash which of these pieces of data is discreet and which one is continuous
Answer:
The 6-minute half-mile time is continuous data; the number of people trying out for the team is discrete data.
Step-by-step explanation:
Which values from this set {−30, −20, −10, 0, 10, 20} satisfy this inequality?
−15x+3≤7
−20, −10, 0, 10, and 20 only
0, 10, and 20 only
−30, −20, and −10 only
−30 and −20 only
Answer:
0, 10, and 20 only
Step-by-step explanation:
−15x + 3 ≤ 7
−15x + 3 - 3 ≤ 7 - 3
−15x ≤ 4
−15x / -15 ≥ 4 /- 15 multiplying by a negative number reverses the sign.
x ≥ -4 / 15
probably quicker to just plug the numbers in. Any negative input will immediately create a false statement.
WILL GIVE BRAINLYIEST Rita goes to the mall. If x is the number of items she bought, the expression 18.54x+23 gives the amount she spent in dollars at one store. Then she spent 25 dollars at another store. Find the expression which represents the amount Rita spent at the mall. Then estimate how much Rita spent if she bought 2 items.
I only know the first part (the expression which represents the amount Rita spent at the mall)
18.54x + 48
The base of a triangle is shrinking at a rate of 5 cm/s and the height of the triangle is increasing at a rate of 9 cm/s. Find the rate at which the area of the triangle changes when the height is 12 cm and the base is 4 cm.
Provide your answer below:
The rate of change of the area of the triangle is ___ cm²/s.
Answer:
Step-by-step explanation
Area of a triangle
A = ½bh
dA/dt = ½(b(dh/dt) + h(db/dt)
dA/dt = ½(4(9) + 12(-5))
dA/dt = ½(36 - 60)
dA/dt = ½(-24)
dA/dt = -12 cm²/s
The rate of change of the area of the triangle is [tex]-12 cm^2/s[/tex].
The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to an area of an open surface or even the boundary of a three-dimensional object, whereas the area of a plane region as well as plane area refers to a area of a shape or planar lamina. Area can be interpreted as the quantity of material with a specific thickness required to create a model of the shape or as the quantity of paint required to completely cover a surface in a single coat. It is the two-dimensional equivalent of a curve's length.
A shape's area can be calculated by contrasting it with squares of a known size.
[tex]\frac{\mathrm{d} b(t)}{\mathrm{d} t}=-5cm/s[/tex]
[tex]\frac{\mathrm{d} h(t)}{\mathrm{d} t}=9 cm/s[/tex]
[tex]\frac{\mathrm{d}A }{\mathrm{d} t}=\frac{1}{2}\left (b\frac{\mathrm{d} h}{\mathrm{d} t} +h\frac{\mathrm{d} b}{\mathrm{d} t}\right )[/tex]
[tex]\frac{\mathrm{d} A}{\mathrm{d} t}=-12 cm^{2}/s[/tex]
Hence, The rate of change of the area of the triangle is [tex]-12 cm^2/s[/tex].
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Which is an example of incompatible goals?
A. Your parents want to take family photos, but you already have
plans with friends that day.
B. Your teacher gives you an assignment you did not expect.
C. A friend does not agree with your opinion on a topic.
D. Your uncle enjoys fishing, but you do not believe in killing animals.
Find the equation of a line whose slope is 6 and passing through (3 , 3 ).
Answer:
y=6x-15
Step-by-step explanation:
y-y1=m(x-x1)
y-3=6(x-3)
y-3=6x-18
y=6x-18+3
y=6x-15
What is the slope of the line?
Answer:
-5
Step-by-step explanation:
Use the slope triangle I mentioned in a previous question
If 23 is added to a number, the result is 41 less than twice the number.
Answer:
x + 23 = 2x - 41
Step-by-step explanation:
I'm not too sure how to explain the correctness of the answer but I know that it's:
x + 23 = 2x - 41