A garden is in the shape of a rectangle, ABCD, and a semicircle.
AD is the diameter of the semicircle.
Carol is going to cover the garden with fertiliser.
A box of fertiliser costs £4.99
Carol has been told that one box of fertiliser will cover 12 m? of garden.
(a) Work out the cost of buying enough fertiliser to cover the garden completely.
Answers
Answer:
34.93
Step-by-step explanation:
find area of semicircle=(pi×radius squared)/2=27.7
find area of rectangle=base×height=47.04
74.74=total area
if one box covers 12 how many boxes cover 74.74=6.2283 but you cannot buy .2283 of fertiliser so you round up to 7 boxes
so total cost becomes 7×4.99=34.93
Related Questions
Which set of terms has 8 as their GCF?
Someone help please
Answers
Answer:
80, 56, 24 i think
Step-by-step explanation:
80, 56, 24
some of them have 8 as a gcf but not all three of them. the last one is the only one where all the terms has 8 as a gcf. (even though when you divide 80 by 8 its 10 and it can still be divided)
Answer:
d. 80, 56, 24
Step-by-step explanation:
the greatest common factor of all three of these is 8
Find side X give answer to 1dp
Answers
Answer:
x = 10.8
Step-by-step explanation:
We can use the law of sines to solve this problem
sin A sin B
--------- = ----------
a b
sin 81 sin 40
--------- = ---------
x 7
Using cross products
7 sin 81 = x sin 40
Solving for x
7 sin 81 / sin 40 =x
x=10.75599
Rounding to 1 decimal place
x = 10.8
(r/s)(3) please help
Answers
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[tex]( \frac{r}{s})(x) = \frac{2 \sqrt{x} }{ \sqrt{x} } \\ [/tex]
[tex]( \frac{r}{s})(x) = 2 \\ [/tex]
Thus ;
[tex]( \frac{r}{s})(3) = 2 \\ [/tex]
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Find the mathematical model for the following statement. Remember to use k as the constant of proportionality.
P varies directly as the product of I and V.
Answers
This is an example of joint variation that takes the form: z=kxy, where k=constant of proportionality.
As P varies directly as the product of I and V it is P = KVT
What is proportion?Proportions are of two types one is the direct proportion in which if a constant k increases one quantity the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if a constant k increases one quantity the quantity will decrease by the same constant k and vice versa.
Given, P varies directly as the product of I and V, therefore if P increases
V or I or V and I will also increase.
We can write this direct proportionality as,
P ∝ VI.
Now to remove the proportionality sign we'll use a constant factor K and an equality sign,
P = KVT.
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A new car is purchased for 18000 dollars. the value of the car depriciates at 13.5% per year. what will the value of the car be, to the nearest cent, after 14 years?
Answers
Answer:
The value of the car will be $2,363.19 after 14 years
Step-by-step explanation:
The rule of depreciating is
[tex]A=p(1-r)^{t}[/tex] , where
A is the new valueP is the original valuer is the rate in decimalt is the time in years∵ A new car is purchased for 18000 dollars
∴ P = 18,000
∵ It depreciates at a rate of 13.5% per year
∴ r = 13.5% = 13.5/100 = 0.135
∵ We need to find how much it will be worth after 14 years
∴ t = 14
→ Substitute all of these values in the rule above to find A
∵ [tex]A=18000(1-0.135)^{14}[/tex]
→ Use your calculator to find the answer
∴ A = 2,363.186569
→ Round it to the nearest cent (2d.p.)
∴ A = 2,363.19
∴ The value of the car will be $2,363.19 after 14 years.
Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard deviation is 2.9. what is the margin of error, assuming a 90% confidence level? round your answer to the nearest tenth.
Answers
The Margin of error is 0.3 when assuming a 90% confidence level.
It is given that among 320 randomly selected airline travelers, the mean number of hours spent traveling per year is 24 hours and the standard deviation is 2.9.
It is required to find the margin of error when the confidence level is 90%.
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
[tex]\rm MOE= Z_{score}\times\frac{s}{\sqrt{n}}[/tex]
Where [tex]\rm Z_{score}[/tex] is the z score at the confidence interval
s is the standard deviation
n is the number of samples.
We have in the question:
[tex]\rm Z_{score}[/tex] at 90% confidence interval = 1.645 (From the Z score table)
s = 2.9
n = 320
Put the above values in the formula, we get:
[tex]\rm MOE= 1.645\times\frac{2.9}{\sqrt{320}}[/tex]
MOE = 0.2666
Rounding the nearest tenth:
MOE = 0.3
Thus, The Margin of error is 0.3 when assuming a 90% confidence level.
Learn more about the Margin of error here:
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Answer:
0.3
Step-by-step explanation:
edg
three cans of beans and five cans of soup weigh 700g.
four cans of beans weigh 300g.
what is thr weight of five cans of beans and three cans of soup?.
Answers
Answer:
660g
Step-by-step explanation:
take bean can as b and soup can as c
3b+5c=700
4b=300 therefore b=75
3b+5c=700 is 3(75)+5c=700
225+5c=700
5c=475
c=95
5×75+3×95
660
solve the system by substitution y=7x+15
y=2x
Answers
Answer:
(-3,-6)
Step-by-step explanation:
y=7x+15
y=2x
2x=7x+15
-5x=15
x=-3
y=-6
Please help me with my homework
Answers
Answer:
Step-by-step explanation:
19: C
20: C
21: if WXY = 62 => since WXY = WXZ + ZWY
62 = 7x + 2 + 3x
62 = 10x + 2
62 - 2 = 10x
60 = 10x
60 : 10 = x
6 = x (A)
22: WXZ = 7x + 2 => WXZ = 7 * 6 + 2 = 42 + 2 = 44 => WXZ = 44 (B)
23:ZWY = 3x => ZWY = 3 * 6 = 18 => ZWY = 18 (A)
hope I helped you :)
Find The Area Of the Figure Use 3.14 for π
Answers
Explanation:
The diameter of the semicircle is 6 inches, which divides in half to the radius of r = 3 inches.
Area of semicircle = 0.5*pi*r^2 = 0.5*3.14*3^2 = 14.13Area of triangle = 0.5*base*height = 0.5*7*6 = 21Add the two sub-areas to get the total area.
14.13 + 21 = 35.13 square inches
This answer is approximate since pi = 3.14 is approximate.
22.
In the figure, m29 = 80 and m25 = 68. Find the measure
of each angle. Tell
b. 21
a. 212
1
413
80
9 10
1211
→
-P
185.6
817
13/14
16115
c. 24
68
d. 23
Answers
Step-by-step explanation:
This is the correct answer Step-by-step
I hope you understand...
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenth place.
6 9
Answers
Answer: 68.1
Step-by-step explanation:
The area of a semi-circle is 1/2 the area of a full circle. The area of a full circle is pi*r^2. Therefore, the area of a semi-circle is:
[tex]Area=\pi r^2/2[/tex]
[tex]Area=\pi (3)^2/2=9\pi /2[/tex]
The area of a rectangle is the length multiplied by the width:
[tex]Area=l*w[/tex]
[tex]Area=6*9=54[/tex]
The net area is the sum of the rectangle and the semi-circle:
[tex]Area=(9\pi /2)+(54)=68.1[/tex]
For rectangle
Area:-
Length ×Breadth9(6)54units^2For semicircle
Radius=6/2=3Area:
πr^2/29π/24.5π14.13units^2Total:-
54+14.1368.13units^24.
When the original members of the Chess Club were joined by four new
members, there were 28 members. Which equation represents this
information? (let n = the original number of members)
A.) n + 4 = 28
B. 4n = 28
C. n - 4 = 28
D. 1
n = 28
4
Answers
Answer:
A
Step-by-step explanation:
Basically they are saying that after you ADDED on 4 people it became 28. So in order to get 28 you had to add on 4 to the original number of people. Therefore it is n + 24 = 28
The Benjamin Sheares Bridge is 1.8km long and the Esplanade Bridge is 260m long. (a) How long is the Benjamin Sheares Bridge in metros? (b) What is the difference in length between the two bridges? Give your answer in metres .
Answers
Answer:
(a) 1800m
(b) 1540
Step-by-step explanation:
(a)
1km = 1000m
1.8km = ?
1.8 x 1000 = 1800m
(b)
Benjamin Sheares Bridge is 1.8km = 1800m (in meters)
Esplanade Bridge is 260m
difference in length in meters = 1800m - 260m = 1540m
Hope it helps
b) Write 36 as a product of its prime factors.
Write the factors in order, from smallest to largest.
Answers
Answer:2*2*3*3
Step-by-step explanation:
Express 250 as the product of its prime factors.
Write the prime factors in ascending order.
Answers
Answer:
2,5,5,5
Step-by-step explanation:
50×5=2×5×5×5
Elena received a 25 dollar gift card to a fun center she drives a race car which costs 0.75 she also wants to use the grift card to play games each game costs 0.75 which of these inequalities describes this situation where n is is the number of games Elena wants to play ? A B C D WHICH ONE IS THE ANSWER I NEED HELP QUICK
Answers
Because she has already spent 4.75 and she only has $25 and she cannot spend more than$25
Two water tanks are shown. Tank A is a rectangular prism and Tank B is a triangular prism. Tank A is filled with water to the 6-meter mark. Some of the water from Tank A is being transferred to Tank B so that the water level in Tank A is at 2 meters. Shade the amount of water in Tank B to indicate the approximate height of the water in Tank B after the transfer. Also write the height, to the nearest whole number of meters, in the space provided.
Answers
The height of the prism that's depicted in the water tank will be 8m.
How to calculate the height of the prism?The area of the base of the triangular prism will be calculated thus:
= 1/2 × 4 × 9
= 18m²
The volume of water removed from the rectangular tank will be:
= (6 × 6) × 4
= 144m³
Therefore, the height will be calculated thus:
18 × h = 144
18h = 144
h = 144/18
h = 8m
Therefore, the height is 8m.
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Can someone please help me find the domain and rage of this graph? PLEASE HURRY!!!
Answers
Answer:
domain; 5
Range; -2
Step-by-step explanation:
The value of Yong's investment account increases at a rate that is proportional at any time to the value of the account at that time.
Her account was worth $2000 initially, and it increases by 10%, percent every 4 years.
What is the value of Yong's investment account after 7 years?
Choose 1 answer:
(A) $2036
(B) $2350
(C) $2363
Answers
Using an exponential function, it is found that the value of Yong's investment account after 7 years is given by:
(C) $2363
What is an exponential function?It is modeled by:
[tex]y = ab^x[/tex]
In which:
a is the initial value.b is the rate of change.Her account was worth $2000 initially, and it increases by 10%, percent every 4 years, hence, it is modeled by:
[tex]y(t) = 2000(1.1)^{\frac{t}{4}}[/tex]
After 7 years, the amount is:
[tex]y(7) = 2000(1.1)^{\frac{7}{4}} = 2363[/tex]
Hence option C is correct.
More can be learned about exponential functions at https://brainly.com/question/25537936
what is mode and median
Answers
Answer: The median is the middle value in a list ordered from smallest to largest. The mode is the most frequently occurring value on the list. Your welcome <3
The record high January temperature in Coppell, Texas, is 85 °F. The record low January
temperature is -3 °F. Find the difference between the high and low temperatures.
Answers
Answer:
88 °F
Step-by-step explanation:
85 - (-3) = 88 degrees
What is the solution to the system?
(-19/2,-5)
(-5,-19/2)
(-15/2,-11/3)
(-19/10,1/15)
Answer: (-19/2,-5)
Explanation: just did the instructions (answer go edg 2020)
Answers
Answer:
Step-by-step explanation:
alr so you have to mutiply the ngitive 19 after u get the answer of 2 times negitive fiveafter you get tHATt u will have ur answer as long as you follow my steps u got that.
Answer: A ) -19/2 , -5
Step-by-step explanation:
If a = b + c and c__0, then a> b. Choose the relationship symbol that makes a true statement.
Answers
Answer: equal to
Step-by-step explanation:
If c is zero and b+c=a then b would equal a
what expression is equivalent to -8.2-5?
Answers
The equivalent of the given expression -8.2-5 is -13.2.
What is an expression?It is a sentence with a minimum of two numbers or variables and at least one math operation.
The given expression is -8.2-5.
Its simplified value is -13.2.
Hence, the equivalent expression is negative 13.2.
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What is the midpoint of H( 0, 0) and X(8, 6)
Answers
Answer:
The midpoint is (4, 3).
Step-by-step explanation:
to get the midpoint (x1+x2/2, y1+y2/2)
(0+8/2, 0+6/2)
(4, 3)
given tan a =3/7 find sin c
Answers
The value of sin c is 7/7.6.
Sides of the right triangle
The three sides of the right triangle is calculated as follows;
tan a = opposite / adjacent side
Length BC = opposite side = 3
Length AB = adjacent side = 7
Length ACThe hypotenuse side of the right triangle is calculated as follows;
AC² = 3² + 7²
AC = √(3² + 7²)
AC = 7.6
Sin c = |AB| / AC
sin c = 7/7.6
sin c = 0.92
Thus, the value of sin c is 7/7.6.
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What is the solution to the equation 6x + 2(x − 3) = 4x + x − 18? (1 point) 4 2 −2 −4
Answers
Answer:
x = -4
If that's not what you are looking for, please tell me :)
Step-by-step explanation:
Distribute
2(x-3)
Combine Like Terms
6x+2x
Combine like terms
(4x + x)
Answer:
see below for explanation:-�
Step-by-step explanation:
[tex]: \implies 6x + 2(x - 3) = 4x + x - 18[/tex]
[tex]: \implies{6x + 2x - 6 = 4x + x - 18}[/tex]
[tex]: \implies{8x - 6 = 5x - 18}[/tex]
Add 6 to the both sides:-[tex]: \implies{8x - 6 + 6 = 5x - 18 + 6}[/tex]
[tex]: \implies{8x = 5x - 12}[/tex]
Subtract 5x from both sides:-[tex]: \implies{8x - 5x = 5x - 12 - 5x}[/tex]
[tex]: \implies{8x - 5x = 5x - 5x - 12}[/tex]
[tex]: \implies{3x = 0 - 12}[/tex]
[tex]: \implies{3x = - 12}[/tex]
Divide both sides by 3:-[tex]: \implies{ \displaystyle{ \frac{3x}{3} = \frac{ - 12}{3} }}[/tex]
[tex]: \implies{x = - 4}[/tex]
What is the surface area of the cube?
Answers
Answer:
294mm
Step-by-step explanation:
The surface area of each side is 7mm x 7mm. 7•7 = 49
There are 6 sides on a cube, so just multiply 49 times 6.
49•6= 294 mm
A triangle,ABC , has angle measures of 40, 40, 100 and and exactly two congruent (equal) sides. How would this triangle be classified?
Answers
Answer:
Step-by-step explanation:
Isosceles Obtuse.
It is obtuse because the largest angle is over 90.
It is Isosceles because the two base angles are equal.
If you get it wrong, it is because the question assumes that the two base angles are acute (which they are) but for this question I think you are referring to the lone angle at the top.