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.

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)

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

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

As P varies directly as the product of I and V it is P = KVT

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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Answer:

2,5,5,5

Step-by-step explanation:

50×5=2×5×5×5

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:-

For semicircle

Area:

Total:-

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 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.

The equivalent of the given expression -8.2-5 is -13.2.

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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Explanation:

The diameter of the semicircle is 6 inches, which divides in half to the radius of r = 3 inches.

Add 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.

Answer:

(-3,-6)

Step-by-step explanation:

y=7x+15

y=2x

2x=7x+15

-5x=15

x=-3

y=-6

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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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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

Answer:2*2*3*3

Step-by-step explanation:

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]

[tex]: \implies{8x - 6 + 6 = 5x - 18 + 6}[/tex]

[tex]: \implies{8x = 5x - 12}[/tex]

[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]

[tex]: \implies{ \displaystyle{ \frac{3x}{3} = \frac{ - 12}{3} }}[/tex]

[tex]: \implies{x = - 4}[/tex]

Answer:

88 °F

Step-by-step explanation:

85 - (-3) = 88 degrees

Answer:

domain; 5

Range; -2

Step-by-step explanation:

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 :)

The height of the prism that's depicted in the water tank will be 8m.

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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Answer: equal to

Step-by-step explanation:

If c is zero and b+c=a then b would equal a

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

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

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.

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:

Using an exponential function, it is found that the value of Yong's investment account after 7 years is given by:

(C) $2363

It is modeled by:

[tex]y = ab^x[/tex]

In which:

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.

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The value of sin c is 7/7.6.

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

The 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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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%.

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.

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Answer:

0.3

Step-by-step explanation:

edg

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

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

Step-by-step explanation:

This is the correct answer Step-by-step

I hope you understand...