Answer:
5 hours
Step-by-step explanation:
The problem is giving you the equation
y = 0.4x; where y is the # of buckets filled and x is the hours.
If they you 2 filled buckets, then how many hours?
You need to solve for x
y = 0.4x; to get the x by itself, divide by 0.4
x = [tex]\frac{y}{0.4}[/tex] ; now substitute y with 2 ( for 2 filled buckets)
x = [tex]\frac{2}{0.4}[/tex] = 5; which means it took 5 hours to fill up 2 buckets.
A man wants to cut down a tree in his yard. To ensure that the tree doesn’t hit anything he needs to know the height of the tree. He measures his distance from the tree at 18 meters and the angle of elevation to the tree at 80 degrees. What is the height of the tree to the nearest tenth of a meter?
Answer:
[tex]\boxed {\boxed {\sf 102.1 \ meters}}[/tex]
Step-by-step explanation:
Let's assume the tree forms a right angle with the ground.
The distance from the tree to the man is 18 meters. The angle of elevation, which is 80 degrees, is the angle from where the man is to the top of the tree. We want to find the height of the tree, which we can call x.
Let's draw a diagram. (not to scale)
We can use sine (opposite/hypotenuse), cosine (adjacent/hypotenuse) or tangent (opposite/adjacent). We base the sides off of the elevation angle.
x is opposite the elevation angle and 18 is adjacent to the angle. So, we must use tangent.
[tex]tan(\theta)=opposite/adjacent[/tex]
The angle (θ) is 80. The opposite is x. The adjacent is 18.
[tex]tan(80)=x/18[/tex]
Now, solve for x by isolating it.
x is being divided by 18. The inverse of division is multiplication. Multiply both sides of the equation by 18.
[tex]18*tan(80)=x/18*18[/tex]
[tex]18*tan(80)=x[/tex]
[tex]18*5.67128182=x[/tex]
[tex]102.0830728=x[/tex]
Round to the nearest tenth. The 8 in the hundredth place tells us to round up.
[tex]102.1\approx x[/tex]
The height of the tree is about 102.1 meters.
**diagram is not to scale
Separate 185 into two parts so that one part is 31 more than the other part. Find each part.
9514 1404 393
Answer:
108, 77
Step-by-step explanation:
Let x represent the larger part. Then ...
x + (x -31) = 185
2x = 216
x = 108
x -31 = 77
The two parts are 108 and 77.
2/5+4/7 = Simplified
Answer:
exact form:34/35
Step-by-step explanation: combine the fractions by finding the common denominator i guess
Last year, Lashonda opened an investment account with $7200 . At the end of the year, the amount in the account had decreased by 24.5% .How much is this decrease in dollars? How much money was in her account at the end of last year?
Answer:
1. $17642. $5436Step-by-step explanation:
Step one:
given data
Initial account balance= $7200
we are told that the decrease was by 24.5%
Step two:
1. How much is this decrease in dollars?
let us solve for 24.5% of $7200
=24.5/100*7200
=0.245*7200
=1764
the decrease is $1764
2. How much money was in her account at the end of last year?
the final account balance is
=7200-1764
=$5436
Janelle wants to learn to play the piano. Her friends recommended two different music schools. Make Music charges $525 for 10 hours of lessons. Piano Play offers 12 hours of lessons for $540. Which school offers the better deal?
Answer:
Piano Play
Step-by-step explanation:
Answer:
Piano Play offers the better deal.
Step-by-step explanation:
If you divide $525 by 10 you will get $52.50 every hour for Make Music but if you divide $540 by 12 you will get $45 every hour for Piano Play so Piano Play offers the better deal.
Hope this helps!!
5. How many solutions does the equation
7x + 3x – 8= 2(5x – 4) have? Explain.
Answer:
Your answer is: Infinitely Many
Any value of x makes the equation true. Also, they are all real numbers.
Step-by-step explanation:
If you are solving to find all Complex Number Solutions: ↓
Solve the equation to find all of the complex solutions and that means that equation will be always true.
Hope this helped : )
Which number is equivalent to (1/3)^-4
A.12
B.81
C.1/12
D.1/81
Answer:
B
Step-by-step explanation:
(1/3)^-4
=1/[(1/3)^4]
=1/(1/81)
=81
Graph the line
y=-x+5
HURRY PLEASE!
Answer:
last one on the left an go up and place dot in between 4 and 6
Step-by-step explanation:
Please help me solve this problem
simplify this expression: 54 + 31 + 7n by the power of 2 - n by the power of 2
Answer:
6n² +85
Step-by-step explanation:
Changes made to your input should not affect the solution:
(1): "n2" was replaced by "n^2". 1 more similar replacement(s).
(85 + 7n²) - n²
Three cubic feet of seawater weigh 192 pounds.
What is the weight of the seawater in an aquarium that is 4.4 ft long, 2.5 ft wide, and 5.3 ft high?
Answer:
3731.2 pounds
Step-by-step explanation:
Aquarium will hold 4.4 * 2.5 * 5.3 = 58.3 cubic feet of sea water.
For 3 cubic feet of sea water, weight is 192 pounds
For 58.3 cubic feet of sea water,
( 192 * 58.3) / 3 = 11193.6 / 3 = 3731.2 pounds
Which is true about the domains and ranges of the functions f(x) 1/8√x= and g(x) = 8√x?
They have the same domain and range.
They have different domains and different ranges.
They have the same range but different domains.
They have the same domain but different ranges.
Answer:
A. They have the same domain and range.
Step-by-step explanation:
Edge 2021
Find the total surface area of the
following square pyramid:
9 cm
10 cm
SA = [?]cm2
Answer:
280 cm2
Step-by-step explanation:
1)find the area of square
A=LW
=10×10
=100
2) find the area of triangle
A=B×H÷2
=10×9/2
=45
Coz,there are 4 triangle we multiple by 4
=45×4
=180
3)find the total surface area by adding the two
=100+180
=280cm2
Answer:
SA = [280] cm 2
Step-by-step explanation:
For Lateral Area the formula is 4(1/2 10 x 9)
But the 1/2 makes it 4(1/2 5 x 9)
Then you multiply 5 x 9 = 45 then multiply 45 by the 4 and get 180
Then for Surface Area you put in (180 + 100) = 280
You get the 100 by multiplying 2 of the base numbers together.
Simplify the square root of 18
Answer:
18 has the square factor 9. 18 = 9 · 2. is now simplified.
So the Last one
Step-by-step explanation:
Isaiah and his children went into a grocery store and he bought $10 worth of apples and bananas. Each apple costs $2.50 and each banana costs $0.50. He bought a total of 8 apples and bananas altogether. By following the steps below, determine the number of apples, x,x, and the number of bananas, y,y, that Isaiah bought.
Answer:
x=3
y=5
Step-by-step explanation:
x+y=8
x=8-y
2.5(8-y)+0.5y=10.00
20-2.5y+0.5y=10.00
20-2y=10
-2y=-10
-y=5
y=5
Replace y with 5:
x+y=8
x+5=8
x=3
help please!!!!!!!!!!!!!!!!!
Answer:
the answer is 9.5
Step-by-step explanation:
Answer:
I think it's C. 9.5
Hope this Helps!
The vertices of a triangle are P(–2, –3), Q(–4, –2), and R(4, 8). What are the vertices of the image reflected across the y-axis?
P(–2, 3), Q(–4, 2), and R(4, -8)
P(2, –3), Q(4, –2), and R(-4, 8)
P(–2, –3), Q(–4, –2), and R(4, 8)
P(-3, -2), Q(-2, -4), and R(8, 4)
Answer:
[tex]\huge\boxed{P(2;\ -3);\ Q(4;\ -2)\ \text{and}\ R(-4;\ 8)}[/tex]
Step-by-step explanation:
[tex]A(x;\ y)\xrightarrow{S_{OY}}A'(-x;\ y)\\\\\text{The abscissa changes to the opposite:}\ x\to -x\\\\\text{Therefore}\\\\P(-2;\ -3)\xrightarrow{S_{OY}}P'(2;\ -3)\\\\Q(-4;\ -2)\xrightarrow{S_{OY}}Q'(4;\ -2)\\\\R(4;\ 8)\xrightarrow{S_{OY}}R'(-4;\ 8)[/tex]
Jasmine bought 6.4 pounds of chewy candy from the local confectionary store. If she gave 2.06 pounds of the candy to her little brother Sam, how many pounds did Jasmine have left for herself?
A.
3.8 pounds
B.
4.34 pounds
C.
3.98 pounds
D.
4.3 pounds
Answer:
4.34 lbs
Step-by-step explanation:
6.4-2.06= 4.34
12(y + 6) = 48
What is y?
Answer:
y = -2
Step-by-step explanation:
First step: simplify the equation. 12y + 72 = 48
Second step: Combine like terms: 12y = -24
Final step: Use division property of equality: y = -2
ANSWER: y = -2
Hope this helped,
Philip
Brainliest always appreciated! <3
how you to transform a polynomial equation in standard form? state some steps
Answer:
A very common way to transform a polynomial equation in standard form is usually by writing a polynomial in its standard form.
This is mainly achieved by checking the degree of the terms involved and writing them in the order of degree which should follow the pattern of from highest to lowest, left to right.
Christo graphs AB with endpoints A( -3, -2 ) and B ( -1, -2 ) what are the endpoints of the image after a reflection of AB across the x axis?
1. (-3,2) and (-1,2)
2.(-3.-2) and (-1,-2)
3. (1,-2) and (3,-2)
4. (2,3) and (2,1)
5. none of the above
Answer:
1. (-3,2) and (-1,2)Step-by-step explanation:
Reflection over x-axis results in coordinate change as follows:
(x, y) → (x, -y), x-coordinate stays as is and y-coordinate changes its sign to oppositeGiven points:
A(-3, -2) and B(-1, -2)The image of AB will have coordinates:
A'(-3, 2) and B'(-1, 2)Correct choice is 1.
Answer:
(-3,2) and (-1,2)
Step-by-step explanation: I took the test already and got this correct crazy to find this question 2 days later.
If AB undergoes a dilation of k=1/3 centered at (-3,2) then A’ will have the coordinates:
Answer:
(-3,2)
Step-by-step explanation:
It was correct on mine
The coordinate of A' after dilation of k = 1/3 is, (- 1, 2/3)
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
We have to given that;
⇒ AB undergoes a dilation of k = 1/3 centered at point (-3, 2).
Now,
The coordinate of A' after dilation of k = 1/3 is,
⇒ (1/3 × - 3, 1/3 × 2)
⇒ (- 1, 2/3)
⇒ (- 1, 0.67)
Learn more about the coordinate visit:
https://brainly.com/question/24394007
#SPJ2
What is the value of the function at x=-2
Y=-4
Y=0
Y=2
Y=3
Mike has a loan of $36,320. This loan has a simple interest rate of 6% per year. What is the
amount of interest that will be charged on this loan at the end of the first year?
Help:(
Answer:
ummm well that hard let me solve it real quick
Step-by-step explanation:
:/
please help im confused
Answer:
B) t = l / pr
Step-by-step explanation:
l = prt
l / pt = t
Change from multiplication to division
=== Thanks ===
When solving an equation, Henry gets to the last line of hi work and is left with “3=3”. What does this mean?
What number is 7.5 more than 7.4?
Answer:
the answer is 14.9
Please help!!!!
Compare the slopes of the linear functions f(x) and g(x) and choose the best answer that best describes them.
Answer choices:
A- The slope of f(x) is greater than the slope of g(x)
B- The slope of f(x) is less than the slope of g(x)
C- The slope of f(x) is equal to the slope of g(x)
D- The slope of g(x) is undefined
Answer:
The answer is C. The slope of f(x) is equal to the slope of g(x).
Step-by-step explanation:
Did the test
solve this you get all my points and brainlyest
Answer:
c
Step-by-step explanation:
Jim opens a CD with $5000 and earns interest at an apt of 5.25%. How much interest would be earned and what would be the balance if he keeps the money in the account for 2 years?
Answer: Interest = $5.25, balance = $5005.25
Step-by-step explanation: PLease mark as brainist