Answer:
-2 inches
Step-by-step explanation:
Change in height: -10 inches
Days over which change noticed: 5 days
Change per day: -10÷5= -2 inches
The snowman shrank -2 inches per day.
Find the area of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations).
!
Answer: 8 (Pi - sqrt(3))
Discussion:
The area of the shaded region is that of the semicircle minus the area of the triangle..
Area of semicircle = 1/2 * Pi * R^2
Where R^2 is the square of the radius of the circle. In our case, R ( = OC)
= 4 so the semicircle area is
(1/2) * Pi * (4^2) = (1/2) * Pi * 16 = 8 Pi
Area of triangle.
First of all, angle ACB is a right angle ( i.e. 90 degrees).
* This is the Theorem of Thales from elementary Plane Geometry. *
so by Pythagoras
AC^2 + BC^2 = AB^2
But CB = 4 (given) and AB = 4*2 = 8 ( the diameter is twice the radius).
Substituting these in Pythagoras gives
AC^2 + 4^2 = 8^2 or
AC^2 = 8^2 - 4^2- = 64 - 16 = 48
Hence AC = sqrt(48) = sqrt (16*3) = 4 * sqrt(3)
We are almost done! The area of the triangle is given by
(1/2) b * h = (1/2) BC * AC = (1/2) 4 * (4 * sqrt(3)) = 8 sqrt(3)
We conclude the area area of the shaded part is
8 PI - 8 sqrt(3) = 8 (Pi - sqrt(3))
Note that sqrt(3) is approx 1.7 so (PI - sqrt(3)) is a positive number, as it better well be!
A shop is having a sale.
All items are reduced by 30%
Work out the sale price of an item normally priced at £110
Answer:
77
Step-by-step explanation:
10%=11
because you divide 110 by 10.
Then i would multiply that by 3, giving you 33
110-33=77
The sale price of an item normally priced at £110 is £77.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given that all items are reduced by 30% on a sale.
An item that normally priced at £110 reduced by 30%.
So, 30 percentage of £110
= 30% of £110
= 110×30/100
= 3300/100
= 33.
Therefore, the sale price of an item normally priced at £110 is £77.
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Rearrange the equation so m is the independent variable. -2m-5n=7m-3n
Please answer FAST
Answer:
[tex]n=-4.5m[/tex]
Step-by-step explanation:
solve for n so that m becomes the independent variable
[tex]-2m-5n=7m-3n[/tex]
[tex]-5n=9m-3n[/tex]
[tex]-2n=9m[/tex]
[tex]n=-4.5m[/tex]
Factor out completly: 6x^2y − 3xy − 24xy^2 + 12y^2
---------------------------------------------------------------------
6x^2y − 3xy − 24xy^2 + 12y^2
Apply exponent rule:
6x^2y-3xy-24xyy+12yy
Rewrite 12 as 4*3
Rewrite -24 as 8*3
Rewrite 6 as 2*3
2*3x^2y-3xy+8*3xyy+4*3yy
Factor out common term 3y:
3y(2x^2-x-8xy+4y)
Factor 2x^2-x-8xy+4y:
3y(2x-1)(x-4y)
Your Answer Is 3y(2x-1)(x-4y)
plz mark me as brainliest if this helped :)
The factor of 6x²y − 3xy − 24xy² + 12y² is 3y(2x - 1)(x - 4y)
Given:
6x²y − 3xy − 24xy² + 12y²
find the highest common factor of all the coefficient of each term
6 = 1, 2, 3, 6
6 = 1, 2, 3, 63 = 1, 3
6 = 1, 2, 3, 63 = 1, 324 = 1, 2, 3, 4, 6, 8, 12, 24
6 = 1, 2, 3, 63 = 1, 324 = 1, 2, 3, 4, 6, 8, 12, 2412 = 1, 2, 3, 4, 6, 8, 12
The highest common factor of all the coefficient of each term is 3
So,
6x²y − 3xy − 24xy² + 12y²
= 3y(2x² - x - 8xy + 4y)
(2x² - x - 8xy + 4y) can also be factorised further(2x² - x - 8xy + 4y) = (2x - 1)(x - 4y)
Therefore,
6x²y − 3xy − 24xy² + 12y = 3y(2x - 1)(x - 4y)
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(if) You earn 3k a day. And has been dreaming of buying a fishing shack (a small one with three floors) for 50k / 30 days. How much would you have by that 30 days if you earn 3k a day.
Answer:$90,000
Step-by-step explanation:
3,000*30=90,000
Answer: 90k
Step-by-step explanation:
3k per day x 30 days
(11*10^11)(12*10^12)
Answer:
3,200,000,000,000,000,000,000,000
Step-by-step explanation:
(11 × [tex]10^{11}[/tex])(12×[tex]10^{12}[/tex])
(11 × 100,000,000,000)(12×1,000,000,000,000)
(1,100,000,000,000)(12,000,000,000,000)
3,200,000,000,000,000,000,000,000
Answer:
3,200,000,000,000,000,000,000,000
Step-by-step explanation:
(11 × )(12×)
(11 × 100,000,000,000)(12×1,000,000,000,000)
(1,100,000,000,000)(12,000,000,000,000)
3,200,000,000,000,000,000,000,000
MAX POINTS. Brainliest for best answer and please dont give me some dumb answer. Please explain as well.
-6x-32/5=14 because the 32 has nothing to do with the problem the correct answer is -35/4, -30/5
5. A metal ornament is being designed such that its perimeter is created by four identical three-quarter circles
as shown whose centers are connected to form a square. The ornament, both circular and square portions, is
made of wire that weighs 1.8 grams per inch. The square has sides that are 4 inches long.
(a) Determine the total length of the circular portions in terms of
pi. Show the work that leads to your answer.
(b) Determine the total length of wire needed, both circular and
square portions, to the nearest tenth of an inch.
G
(c) Determine the total weight of the ornament to the nearest
gram.
Answer:
(a) 12π in
(b) 53.5 in
(c) 96 grams
Step-by-step explanation:
In the figure attached, the ornament is shown
(a) four three-quarter circles is equivalent to 4*3/4 = 3 circles. The perimeter of a circle is the total length of the circular portions.
Perimeter of each circle: 2*π*r
The radius is 2 in long, then for 3 circles:
Perimeter = 3*2*π*2 = 12π in
(b) Perimeter of square: 4*side length
The side length of the square is 4 in, then:
Total length of wire needed = 4*4 + 12π = 53.5 in
(c) The wire weighs 1.8 grams per inch, then:
total weight of the ornament = 1.8 grams/in * 53.5 in = 96 grams
I = $18, P = $200, 1
18 months find the annuanl interest rate
Answer: 6% per year
Step-by-step explanation:
SI = PRT / 100
18 = (200 x r x 1.5)/ 100
Find the surface area of the cylinder in terms of π
Answer:
304 pi in ^2
Step-by-step explanation:
The surface area of a cylinder is given by
SA = 2 pi r^2 + 2 pi rh where r is the radius and h is the height
SA = 2 * pi * 8^2 + 2 * pi * 8 * 11
SA = 128 pi + 176 pi
SA =304 pi
Answer: 304 pi
Step-by-step explanation:
Question 1: Milton is 95 miles from Leek. Doncastle is 102 miles from Leek. Which town is the greater distance from Leek? Question 2: Hannah took 817 seconds to complete a puzzle. Olly took 798 seconds to complete the same puzzle. Who completed the puzzle in the shortest time? Question 3: Arrange these temperatures in order, from lowest to highest 18°C, 22°C, 9.5°C, 15°C, 21°C, 17°C, 2°C Question 4: Write down the value of the 7 in the answer to 573 x 100 Question 5: Using the three digits 1, 2 and 3, write down all the different three digit numbers. Question 6: Write down a number that is larger than 3.4 but smaller than 3.5 e CORBETTMATHS 2017
Answer:
1. Doncastle
2. Olly
3.
4. thousand
5. 123
231
321
213
132
213
6. 3.45
Step-by-step explanation:
I hope my answer was the brainliest
Answer:
1) Doncastle
2) Olly
3) 2, 9.5, 15, 17, 18, 21, 22
4) 7000
5) 123, 132, 231, 321, 213, 312
6) 3.45
−12−1282÷42=
I just need the answer. Thanks
Answer:
13.5 rounding
Step-by-step explanation:
PEMDAS
-128/2=-64
-64/42=-1.5
-12-1.5=13.5
If 4x^2 – bx + 81 is a perfect square trinomial. Then the value of b is
Answer:
b = 36
Step-by-step explanation:
perfect square: a² - 2ac + c²
4x²- bx + 81 = (2x)² - bx + 9² = (2x)² - 2*(2x)*(9) +9²= (2x)² - 36x +9²,
so b = 36
Solve for x in the equation x^2-4x-9=29
Answer:
x = 2 + √ 42 , 2 − √ 42
Decimal Form:
x = 8.48074069 , − 4.48074069
Step-by-step explanation:
Solve the equation for x by finding a , b , and c of the quadratic then applying the quadratic formula.
You have a total of 32 coins, dimes and nickels, that are worth $2.55. How many of each do you have?
Hi!
I'm happy to help you today!
You would have 25 Dimes and 1 nickel!
This is because
1 Dime = 10 Cent's
1 Nickel = 5 Cent's
So if you add them up like so, you get the amount of $ 2.55!
-LimitedLegxnd
-If you are happy with my answer make sure to hit that heart! Also to show others how helpful my answer is rate my by clicking the stars!
The school has t-shirts to hand out. They have 10 hot pink shirts, 6 neon green shirts, 9 bright yellow shirts, and 11 vibrant blue shirts. If you are handed a shirt at random, what is the probability you will be given a vibrant blue shirt?
11/36
10/36
11%
1/4
Answer:11/36
Step-by-step explanation:there are 36 shirts in total and only 11. So you have an 11/36 chance
What is the approximate volume of the tube? Round to the
nearest whole cubic centimeter.
A cylindrical cardboard tube with a diameter of 8
centimeters and a height of 20 centimeters is used to
package a gift
20 cm
1,005 cm
1,340 cm
O 3,351 cm
O 4,021 cm
• 8 cm
Mark this and retum
Next
Submit
Answer:
The approximate volume of the tube is 1,005 cm³
Step-by-step explanation:
To find the volume of the tube, we will follow the steps below:
First, write the formula for calculating the volume of a cylinder
volume of a cylinder = πr²h
where r is the radius and h is the height of the cylindrical cardboard tube
from the question given, height is equal to 20 centimeters and diameter = 8 centimeters but diameter = 2r, this implies that r = d/2 hence radius r =8/2 = 4 centimeters
π is a constant and is ≈ 3.14
we can now proceed to insert the values into the formula
volume of a cylinder = πr²h
≈ 3.14 × 4²× 20
=3.14 × 16× 20
≈1,005 cm³ to the nearest whole cubic centimeter.
The approximate volume of the tube is 1,005 cm³
Answer:
A
Step-by-step explanation:
edge 2021
Need help with maths
Answer:
a) 48
b)
c) 13, 23, 43,
Step-by-step explanation:
since i helped you with a and c, try and figure out b on your own.
i will give you a link if you want it so you can watch a video on how to find square numbers
Answer:
a) 48
b) 81
c) 13, 23, 43
Step-by-step explanation:
[tex]\sqrt{81} =9[/tex]
Jack recently planted a beanstalk and decided to measure its height each day. Jack plotted the following points on a graph, where the x-axis represented the day and the y-axis represented the height of his new beanstalk: (0,0); (1,2); (2,4); (3,6); (4,8); (5,10).
Which of the following correctly interprets the average rate of change?
A. Jack's beanstalk grew 2 units every day.
B. Jack's beanstalk grew 2 units every three days.
C. Jack's beanstalk grew 1 unit every day.
D. Jack's beanstalk grew 1 unit every two days.
Answer: A
Step-by-step explanation:
Jacks beanstalk grew 2 units everyday
Answer: a.
Step-by-step explanation:
Each units grows by two units every day.
A sun ray forms a 60° angle with the ground. The reflection of the sun off of a lake forms a 120° angle with the ground. Angela
wants to find the measure of the angle formed by the sun ray and the sun reflection, so she drew the picture below.
sun
ray
sun
reflection
60
Ground
Lake
So, the measure of the angle formed by the sun ray and the sun reflection is
Answer:
60
Step-by-step explanation:
can you put 92 80 88 100 94 98 72 80 94 86 in order
Answer:
72,80,80,86,88,92,94,98,100
Step-by-step explanation:
Answer:
72,80,80,86,88,92,94,98,100
Step-by-step explanation:
72,80,80,86,88,92,94,98,100
The answer is above.
Least to greatest in order
Hope this helps.
Which type of transformation must have occurred in order to map triangle RST to its image, triangle R'S'T?
Answer:
Reflection over the y axis
Step-by-step explanation:
You can picture this graph on a piece of paper. If you fold the paper over the y axis/ the line in the middle, T would map onto T', S onto S' and R onto R'. This is a reflection
A blueprint for a building includes a rectangular room that measures 3 inches wide and 5.5 inches long. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual buildingBelow give the dimensions of this rectangular room in the actual building.
What is the width of the building?
16.5 feet
30 feet
55 feet
What is the length of the building?
16.5 feet
30 feet
55 feet
Answer:
width of the building = 30 feet
Length of the building = 55 feet
Step-by-step explanation:
On blue print:
Width = 3 inches, length = 5.5 inches
scale factor = 10 inches
Therefore, actual dimensions of the building would be as given below:
width of the building = 3 * 10 = 30 feet
Length of the building = 5.5 * 10 = 55 feet
A slice of pizza has an area of 13.5 sq inches. If the pizza has a radius of 9 inches, how many pizza slices make up the whole pie?
F(x)=x^2 what is g(x)?
Answer:
B is correct ;)
Step-by-step explanation:
i just did it haha
The option B is the correct answer i.e. the function g(x) can be defined as g(x) = ((1/2)x)².
What is a function?A function is defined as a relationship between a set of inputs that each have one output.
How to solve this problem?Notice that the function g(x) passes through the point (2,1). So, the functional value of g(x) at x = 2, i.e. g(2) = 1.
Check which option match this criterion.
Now, for option A,
g(x) = (1/2)x²
and g(2) = (1/2)×2² = (1/2)×4 = 4/2 = 2 ≠ 1
So, option A is incorrect.
For option B,
g(x) = ((1/2)x)²
and g(2) = ((1/2)×2)² = (2/2)² = 1² = 1
So, option B is correct.
Therefore option B is the correct answer i.e. the function g(x) can be defined as g(x) = ((1/2)x)².
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To catch a frisbee, a dog leaps into air with an initial velocity of 14 feet per second. Write a model for the height of the dog above the ground. After how many seconds does the dog land on the ground?
Answer:
Model: [tex]y = 14t+\frac{1}{2}(32.16)t^{2}[/tex]
The dog land on the ground after 0.8706 seconds.
Step-by-step explanation:
The model that said the height of the dog above the ground is a model of uniform acceleration motion, so it is:
[tex]y = y_0+v_0t+\frac{1}{2}gt^{2}[/tex]
Where [tex]y_0[/tex] is the initial height, [tex]v_0[/tex] is the initial velocity and [tex]g[/tex] is the gravity.
So, replacing [tex]y_0[/tex] by zero, [tex]v_0[/tex] by 14 feet per second and [tex]g[/tex] by [tex]32.16 ft/s^2[/tex], we get that the model for the height of the dog above the ground is:
[tex]y = 14t+\frac{1}{2}(32.16)t^{2}[/tex]
Then, the time t when the dog land on the ground is calculated replacing [tex]y[/tex] by zero and solving for t as:
[tex]y = 14t+\frac{1}{2}(32.16)t^{2}\\0 = 14t+\frac{1}{2}(32.16)t^{2}\\0 =t (14 - 16.08t)[/tex]
Now, we have two possible solutions:
[tex]t=0[/tex] or [tex]14-16.08t=0[/tex]
Taking into account that t=0 is the time when the dog leaps into air, the time when the dog land on the ground is equal to 0.8706 seconds and it is calculated as:
[tex]14-16.08t=0\\14=16.08t\\\frac{14}{16.08}=t\\t=0.8706[/tex]
Write an equation for the nth term of the arthmetic sequence 22,15,8,1
Answer:
17
Step-by-step explanation:
I got this right on a test i did 4 days ago
What is cos θ if sin θ = −8/10 and θ is in Quadrant III?
Answer:
Drawing out the quadrants cos of an angle is negative in the third quadrant. Your drawing should indicate that x and y are negative. Then since we are working with a right triangle, again your diagram should indicate that. Determine the value of the third side. You know one is - 6 and the other opposite the 90 degree angle, the hypotenuse is 10. cos of an angle is adjacent divided by the hypotenuse.
I hope this helps if it did not help use this
cosine is negative in Quadrant III.
Use a pythagorean theorem to find the other leg. a2 = c2 - b2
adjacent leg = √(102 - 82)
cos θ = -6/10
Answer CORRECTLY !!!!! Will mark brainliest !!!!!!!
Answer:
Step-by-step explanation:
3a - 5 = -4b + 1
3a = -4b + 6
a = (-4b + 6)/3
h(a) = (-4b + 6)/3
Answer:
h(a) = [tex]\frac{6-3a}{4}[/tex]
Step-by-step explanation:
Given
3a - 5 = - 4b + 1
Rearrange making b the subject
Add 4b to both sides
4b + 3a - 5 = 1 ( add 5 to both sides )
4b + 3a = 6 ( subtract 3a from both sides )
4b = 6 - 3a ( divide both sides by 4 )
b = [tex]\frac{6-3a}{4}[/tex] , thus
h(a) = [tex]\frac{6-3a}{4}[/tex]
a snowball has a radius of 7 centimeter . what is the volume
The formula for the volume of a sphere is given by
V = (4/3)πr3
Since the radius is 7 cm, let's substitute that in:
V = (4/3)(3.14)(7 cm)3
V = 1436.755 cm3 = 1437 cm3, rounding to the nearest whole unit as requested.
Answer: The volume is about 1436.01
Step-by-step explanation:
so since a snowball is like a sphere we would use the sphere formula to calculate the volume of the snowball.
Formula of a sphere ; 4/3*π * r^3
v= 4/3 * 3.14 * 343
v= 1435.01