Answer:
£2857.14
Step-by-step explanation:
The price after the decrease is 84% of the original price, so we have ...
£2400 = 0.84 · (original price)
£2400/0.84 = original price ≈ £2857.14
A basketball team wants to paint half of a free-throw circle grey. If the radius of the free-throw circle is 5.4 feet, what is the area that will be painted grey? Use 3.14 for , and round to the nearest square foot.
Answer:
The area which would be painted grey will be "47.7812 ft²".
Step-by-step explanation:
The given values are:
Radius of circle, r = 5.4 feet
Value of pi, π = 3.14
As we know,
Area of Semicircle = [tex]\frac{\pi r^2}{2}[/tex]
On putting the values in the above formula, we get
= [tex]\frac{3.14\times (5.4)^{2}}{2}[/tex]
= [tex]\frac{3.14\times 29.26}{2}[/tex]
= [tex]\frac{91.5624}{2}[/tex]
= [tex]45.7812 \ ft^2[/tex]
Which sets of measurements could be the side lengths of a triangle?
Select each correct answer.
A3 cm, 3 cm, 3 cm
B4 cm, 8 cm, 13 cm
C5 cm, 9 cm, 14 cm
D 6 cm, 7 cm, 8 cm
E 7 cm, 7 cm,10 cm
Answer:
A3
D6
Step-by-step explanation:
All answer choices are correct and can form triangles.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
A set of measurements could be the side lengths of a triangle if and only if the sum of the lengths of any two sides is greater than the length of the remaining side (Triangle Inequality Theorem).
A)
3 cm, 3 cm, 3 cm - This is a valid triangle because the sum of any two sides is greater than the third side.
B)
4 cm, 8 cm, 13 cm - This is a valid triangle because 4+8 > 13, 4+13 > 8, and 8+13 > 4.
C)
5 cm, 9 cm, 14 cm - This is a valid triangle because 5+9 > 14, 5+14 > 9, and 9+14 > 5.
D)
6 cm, 7 cm, 8 cm - This is a valid triangle because 6+7 > 8, 6+8 > 7, and 7+8 > 6.
E)
7 cm, 7 cm, 10 cm - This is a valid triangle because 7+7 > 10, 7+10 > 7, and 10+7 > 7.
Therefore,
All of the sets of measurements could be the side lengths of a triangle.
Learn more about triangles here:
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So do i divide by 2 each time?
Jody has a plastic container in the shape of a rectangular prism. The container is 8 1/2 inches long, 4 inches wide, and 3 1/2 inches high. What is the volume of this plastic container?
Answer:
=119 in ^3
Step-by-step explanation:
The volume of a rectangle prism is given by
V = l*w*h
Changing to decimal form
= 8 .5 * 4 * 3.5
=119 in ^3
Answer: 119^3
Step-by-step explanation:
To find out the volume of a rectangular prism you have to multiply length x width x height.
8.5 x 4 = 34
34 x 3.5 = 119^3
Five boxes of crakers cost 9 at the rate how much do 20 boxes cost
Answer:
36 dollars
Step-by-step explanation:
We can use ratios to solve
5 boxes 20 boxes
------------------ = ---------------
9 dollars x dollars
Using cross products
5x = 20*9
Divide each side by 5
5x/5 = 90*9/5
x = 36
Am I right?? :) if I’m not please tell me what’s wronf
Answer: The first one is correct but the second one is not
answer blank 1 = 21
answer blank 2 = 189
Step-by-step explanation: You know that 21 students are at each group of tables and you know there is 9 groups total so to get the answer you must multiply 8 times 21 which is 189. Where you went wrong was you multiplied 9 * 3 instead of 9 * 21
hope this helps mark me brainliest if it did
I need help with this :/ pls help
Answer:
When you divide by 10^3, the decimal point moves three places to the right. When you multiply by 0.001, the decimal point moves three places to the right. So, both equal .0777
Step-by-step explanation:
Anderson's Nursery was choosing between two different greenhouses. 2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters. Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters. Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters. Which statements are true about the greenhouses? Select two options.
Question:
Anderson’s Nursery was choosing between two different greenhouses.
2 greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.
Greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.
Greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.
Which statements are true about the greenhouses? Select two options.
A) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
B) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
C) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
D) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
E) The space inside greenhouse 1 is 192 meters cubed greater than the space inside greenhouse 2.
Answer:
Options B & C are correct.
Step-by-step explanation:
Given that both greenhouses have a rectangular prism base with a length of 12 meters, width of 12 meters, and height of 10 meters.
L = 12 m
w = 12 m
h = 10 m
To find the volume of this rectangular prism, let's use the formula:
V = w*h*l
V = 12 * 12 * 10
V = 1440 m³
Then, greenhouse 1 has a square pyramid top with a base of 12 meters by 12 meters and height of 8 meters.
b = 12 x 12
h = 8
The volume of a square pyramid formula is:
V = ⅓*a²h
V = ⅓*12²*8
V = 384 m³
To find the total volume of greenhouse 1, let's add the volume of the rectangular prism and the square pyramid.
V = 12*12*10 + ⅓*12²*8
V = 1440 + 384 = 1824m³
Therefore, the space inside greenhouse 1 is 1824m³
Similarly, greenhouse 2 has a triangular prism top. The triangular sides have a base of 12 meters and height of 8 meters. The prism has a height of 12 meters.
b = 12 m
h = 8 m
height of prism = 12 m
To find the volume of a triangular prism, we have:
½*(bh) * h
V = ½(12*8)*12
V = 576 m³
To find the total volume of greenhouse 2, let's add the volume of the rectangular prism and the triangular prism.
V = (12 * 12 * 10) + (½(12*8)*12)
V = 1440 + 576
V = 2016 m³
Therefore, the space inside greenhouse 2 is 2016m³
From the calculations above the correct options would be:
(B) The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
(C) The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
Options A, D and E are wrong.
Option E is wrong because the space inside greenhouse 1 is (1824-2016 = -192) 192 meters cubed lesser than the space inside greenhouse 2.
Answer:
THE ANSWERS ARE.... B AND C
B: The space inside greenhouse 1 can be found using the equation V = 12 (12) (10) + one-third (12) (12) (8).
C: The space inside greenhouse 2 can be found using the equation V = 12 (12) (10) + one-half (12) (12) (8).
Step-by-step explanation:
i just took it on EDGE 2020. I hope it helps :)
For the expression 6 − y + 3, determine the coefficient for the variable term.
−1
0
3
6
Answer:
0
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
The y is the variable.
There’s a imaginary -1 in front of the y
Please help asap! Correct answers only!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
i=prt
p=principal=$90,000
r=3%=0.03 annual
t=3 years
i=90,000×0.03×3=8100 $
Answer:
$98100
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 90000 × 3/100 × 3
I = $8100
He saves = 8100 + 90000 = $98100
translate (-4,5) up 3 units
then reflect the result over the y-axis
what are the coordinates of the final point?
Answer:
4,8
Step-by-step explanation:
reflecting over y axis is flipping to the other side. and you are going up 3 points so 5+3 is 8. and negative four turns to positive four
A spinner with seven equal sized sections was used to play a game It was used 250 times in the first game Of those 250 the arrow landed on section 7 a total of 35 times The same spinner was used 150 times in the second game How many times did the spinner most likely land on section 7 in the second game A. 14 B. 21 C. 30 D. 35
Answer: 21
Step-by-step explanation:
From the question, a spinner with seven equal sized sections was used in playing a game. The spinner was used 250 times in the first game and the arrow landed on section 7 a total of 35 times. This can be expressed as:
= 35/250
= 0.14
The same spinner was also used 150 times in the second game. The number of times the spinner will most likely land on section 7 in the second game will be:
= 0.14 × 150
= 21
The spinner most likely land on section 7 in the second game for 21 times.
what is the area of this triangle?
Answer:
1099.589 ft^2
Step-by-step explanation:
idk what happen to my answer but some bozo delete my answer but ehre you go again for any who has the same question:)
Determine the nth term formula for each of the following sequences and find the limit if it exists.
3, 3,-3, 3,
Answer:
aₙ = (-3) (-1)ⁿ⁻¹
limit does not exist
Step-by-step explanation:
-3, 3, -3, 3, ...
This is an alternating geometric series where the first term is -3 and the common ratio is -1. The nth term is therefore:
aₙ = (-3) (-1)ⁿ⁻¹
Since the sequence alternates between -3 and 3, the limit as n approaches infinity of aₙ does not exist.
Which statement about liters and milliliters is true?
Answer:
Lesson Summary
A milliliter is a metric unit used to measure capacity that's equal to one-thousandth of a liter. Capacity is the amount of liquid a container can hold. One liter contains 1,000 milliliters, so to convert liters to milliliters you multiply the number of liters times 1,000.
Look at the equivalent metric units of capacity. When converting from a larger unit to a smaller unit, multiply by 1,000. When converting from a smaller unit to a larger unit, divide by 1,000. Liters are larger than milliliters, so multiply by 1,000.
Step-by-step explanation:
EMERGENCY!!!! EXTRA POINTS! I HAVE POSTED THIS QUESTION 5 TIMES AND HAD TO REPORT ALL RESPONSES! I ACTUALLY NEED HELP!
The amusement park in Riverdale charges a $10 entrance fee plus $1 per ride. The amusement park in Esterdamb charges a $5 entrance fee and $2 per ride. For how many rides will the cost be the same for both amusement parks? x= # of rides
Number of rides_____?
Cost_____?
Answer:
5 rides $15
Step-by-step explanation:
.
Answer:
omg riverdale is my favorite show!
Step-by-step explanation:
Need Help Asap offering 10 Points!!!!
Answer:
13 minutes 30 seconds.
Step-by-step explanation:
You just divide 10.8 by 0.8...
10.8÷0.8=13.5
find the two values that x can have if x2-12=37
Answer:
[tex]x2 - 12 = 37[/tex]
Step-by-step explanation:
Add 12 to both sides:
[tex]x2 - 12 + 12 = 37 + 12[/tex]
Simpilfy:
[tex]x2 = 49[/tex]
Simplify:
[tex]2x^{2} = 49[/tex]
Simplify:
[tex]\frac{2x^{2} }{2} = \frac{49}{2}[/tex]
[tex]x^{2} = \frac{49}{2}[/tex]
For x^2 = f(a) the solutions are x = [tex]\sqrt{f(a)} , - \sqrt{f(a)}[/tex]
x = [tex]\sqrt{\frac{49}{2} } , x = -\sqrt{\frac{49}{2} }[/tex]
-[tex]\sqrt{\frac{49}{2} } = -\frac{7\sqrt{2} }{2}[/tex]
x = [tex]\frac{7\sqrt{2} }{2} , x = -\frac{7\sqrt{2} }{2}[/tex]
Hope I helped, may I get brainliest and a thanks?
Thank you, have a good day! =)
Answer:
[tex]x = 7 \\ x = - 7[/tex]
Step-by-step explanation:
[tex] {x}^{2} - 12 = 37 \\ {x}^{2} = 37 + 12 \\ {x}^{2} = 49 \\ x = \sqrt{49} \\ x = 7 \\ x = - 7[/tex]
At what coordinates was Anne the farthest away from home? Time in hours
Answer:
(3,8)
Step-by-step explanation:
Cylinders A and B are similar solids. The base of cylinder A has a circumference of 47 units. The base of cylinder B has an
area of 94 units.
The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?
Answer:
yes you are right it would be cylinder b
Step-by-step explanation:
The diagram shows a right-angled triangle and a parallelogram.
24 cm side of triangle
30 cm base of parallelogram
7cm base of triangle
The area of the parallelogram is 5 times the area of the triangle.
The perpendicular height of the parallelogram is hcm.
(b) Find the value of h.
Answer:
see explanation
Step-by-step explanation:
i know this is very late but ..
area of triangle= b*h/2
24*7/2=84
and it said the parallelogram is 5 times the area so we do
84*5=420 which is the total area of the parallelogram
now to find h we need to do
420/30=14
h=14 because 30*14=420
The required value of h is 14 cm for the given parallelogram.
What is Parallelogram?A parallelogram is defined as a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
The area of the triangle is (247)/2 = 84 square cm.
Since the area of the parallelogram is 5 times the area of the triangle, the area of the parallelogram is 845 = 420 square cm.
The area of the parallelogram is equal to the base (30 cm) multiplied by the height (h cm), so we can set up the equation:
30h = 420
To find the value of h, we can divide both sides of the equation by 30:
h = 420/30
h = 14 cm
Thus, the required value of h is 14 cm.
Learn more about parallelograms here:
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does anyone know the answer to this ?please
Answer:B
Step-by-step explanation:
Each CD is approximately 4.72 inches in circumference and 0.05 inches in depth. There are 15 CDs in the stack. Use the Cavalieri's Principle to find the surface area of the stack of CDs
Answer:
SA = 7.08 in²
Step-by-step explanation:
We can use the following method to solve the given problem
SA = 2B + LA
Where LA
LA = 4.72* 0.05* 15= 3.54
And
C = 2πr
Where
C = 4.72in
π = 3.14
Substituting, we have
4.72 = 2*3.14*r
Making r the subject of formula
r = 0.75in
Solve for the area of CD
A = πr²
Substituting the values we have
A = 3.14 *(0.75)²
A= 1.77 in²
Solving for surface area of the stack
SA = 2(1.77) + 3.54
SA = 7.08 in²
Kayla is going to tile a 6 foot by 9 foot rectangular section of her bathroom wall with square tiles that measure 3 inches tall and 3 inches wide. How many tiles will she need for her project?
Answer: 864 tiles
Step-by-step explanation:
Rather than calculating the whole area of bathroom and area of one tile, It is quicker and easier to determine how many rows of tiles that will be needed.
Note that 1 feet = 12 inches
Each tile measures 3 inches on each side.
Length: 9 feet = 9 × 12 = 108 inches
Therefore, 108/3 = 36 tiles will fit along the length.
Width: 6 feet = 6 × 12 = 72 inches. Therefore, 72/3 = 24 tiles will fit along the width.
So, (36 × 24) = 864 tiles will be needed.
Answer:
864 tiles
Step-by-step explanation:
if the sides of a triangle and area is given. How to find perimeter
Answer:
add it up to see if it's 180
Answer:
Well since you have the sides you would add up all of the sides to find the perimeter.
Step-by-step explanation:
Simplify (x+2)(x+6) using grouping, and write the resulting expression in standard form
Answer:
(x+8)
Step-by-step explanation:
Answer:
x2 + 8x + 12
Step-by-step explanation:
(x + 2) (x + 6) = x (x + 6) + 2 (x + 6)
= x * x + 6x + 2 (x + 6)
= x2 + 6x + 2 (x + 6)
= x2 + 6x + 2x + 2 * 6
= x2 +6x + 2x + 12
= x2 + 8x + 12
On your birthday you receive a new TV valued at $1199. The value of the TV decreases by 25% each year. What will its value be 4 years from now?
Answer: 74.93
Step-by-step explanation: if you heard of the line equals line method this should be able to help you.
299.75 25%
---------------=------------------
$1199 100%
so you cross multiply 1199 and 25 and then divide it by 100. which would be 299.75 that is the price per 1 year then you divide that value by 4 and that will be your answer.
299.75 divided by 4= 74.93
hope this helps
Answer:
379.37
Step-by-step explanation:
I just did it the manual way
1199-25%=899.25
(25% of 1199 is 299.75)
899.25-25%=674.44
(25% of 899.25 is 224.81)
674.44-25%=505.83
(25% of 674.44 is 168.61)
505.83-25%= 379.37
(25% of 505.83 is 126.5)
I just took a test with this question
The original price of a leather jacket is $320. For a weekend sale, the jacket is reduced to $256. Which is the percent discount of the jacket from the original price?
Answer:
80%
Step-by-step
[tex]\frac{256}{320}[/tex][tex]\frac{x}{100}[/tex]
Cross multiply and divide
Given f(x)-x-5,solvr for x when f (x)=4
Answer:
-1-x
Step-by-step explanation:
i think im not sure
Tim answered all the questions on his math test but got
10 answers wrong. He received 4 points for every correct answer, and there was no penalty for wrong answers. His score was 76 points.
Pls I need the equations ASAP
Answer:
29 questions total
Step-by-step explanation:
Since his score was 76 points and he received 4 points per correct answer, you can find the number of correct answers by dividing 76 by 4
76/4 = 19
The you add to that the number of questions he got wrong:
19 + 10 = 29 total questions.
