A landscape gardener wishes to spread fertiliser on a semicircular garden bed that has a diameter of 4.7 m. How much fertiliser is required if the fertiliser is applied at the rate of 20 g per square metre? Give your answer to the nearest gram.

Answer:

radius = 4 cm

Step-by-step explanation:

To find the length of the radius, we will follow the step below;

First, write down the formula for finding the volume of a cylinder

v=πr²h

where v is the volume of a cylinder

r is the radius      and

h is the height of the cylinder

from the question given,

v=125.6    and h = 10 cm

we can now proceed to insert the values into the formula and solve for r

note that π is a constant which is equal to 3.14

v=πr²h

125.6 =3.14×r×10

125.6 =31.4 r

Divide both-side of the equation by 31.4

125.6/31.4 =31.4 r/31.4

4 = r

r =4 cm

The length of the radius = 4 cm

Answer: 666

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

Answer:

u = 10

Step-by-step explanation:

10 + 6u = 7u

10 = u

Just subtract 6u on both sides.

Answer:

Step-by-step explanation:

Answer:

The probability of picking a black card at random, from a deck with 3 black cards and 7 red ones is 0.3.

Step-by-step explanation:

We will assume that we have 3 black cards and 7 black cards, for a total of 10 cards. Since we are taking one card at random, we can assume that each card is equally likely to be drawn. We have the following event A: The drawn card is a black. We will find the probability of A as counting the number of outcomes that make A to occur and divide it by the total number of possibilities. We are drawing one card, so we have 10 possibilities to be picked. Out of those 10, only 3 cards are black, hence we have 3 possibilites of picking a black card.

Then,

P(A) = 3/10 = 0.3.

Answer:

0.435 Got it from Khan

Step-by-step explanation:

Hint #11 / 3

All of the probabilities in a valid probability distribution must add up to 111.

Hint #22 / 3

Solve for the missing probability:

\begin{aligned} 0.475+\text{?}+0.090&=1 \\\\ 0.565+\text{?}&=1 \\\\ \text{?}&=0.435 \end{aligned}

0.475+?+0.090

0.565+?

?

​

=1

=1

=0.435

​

Hint #33 / 3

The answer:

P\left(Y=1\right)=0.435P(Y=1)=0.435

Answer:

17.32 cm

Step-by-step explanation:

According to Viviani's theorem, the sum of the distances from an interior point to the sides of an equilateral triangle equals the height of the triangle.

In an equilateral triangle ΔABC, if U is an interior point, the sum of distances from  U to each sides of ΔABC = height of triangle. Since each side of the triangle is 20 cm, we can find the height of the triangle (h)

This can be represented by a triangle with hypotenuse 20 cm, a leg of 10 cm (20/2) and the other leg h cm. Using Pythagorean theorem:

h² + 10² = 20²

h² = 400 - 100 = 300

h = √300 = 17.32 cm

Therefore, the sum of distances from  U to each sides of ΔABC is 17.32 cm

Answer:

the square root of 306 is

17.49

Answer:

First one

Step-by-step explanation:

Look at the picture*

Answer:

3.6 ounces.

Step-by-step explanation:

4 one half ounces = 2 ounces of paint.

So Albert uses 2 ounce and Tony uses 2 * 0.8 = 1.6 ounces.

So together they use 2+ 1.6 = 3.6 ounces.

Answer:

8.1 ounces

Step-by-step explanation:

Answer:

Hello,

10,070

Step-by-step explanation:

100% - 12% = 88% = 0.88

28,000 x 0.88^8 = 10,069.76...

Answer.

Answer is 9

Step-by-step explanation:

Multiply height by with.

1,1x8,1

then do whatever that equals times 2,5 and you should get your answer.

Answer:

D

Step-by-step explanation:

kyles equation has a negative slope, but the scatter plot shows a positive correlation

The statement best summarizes why Kyle is incorrect:

Kyle's equation has a negative slope, but the scatterplot shows a positive correlation.

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.

How to solve?

As we can conclude that;

Kyle's equation has a negative slope, but the scatter plot shows a positive correlation

Learn more about Scatter Plot:

https://brainly.com/question/14777758

#SPJ2

Answer:

18

Step-by-step explanation:

The midsegment is calculated as

[tex]\frac{sumofbases}{2}[/tex] = [tex]\frac{12+24}{2}[/tex] = [tex]\frac{36}{2}[/tex] = 18

Answer:

This doesn't make any sense. Don't know what you're looking for but here is the formula if needed: A= 1/2h (b^1+b^2)

Answer:

1/4

Step-by-step explanation:

A checkerboard is 1/2 red and 1/2 black.

There are 6 sides on a die, 3 of which are less than 4 (1, 2, and 3).

So the total probability is (1/2) (3/6) = 1/4.

Answer:

1. n[(A U B) - C] = {23, 24, 27, 29, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 61, 63}

2. n[(A - B) U C] = n[A U C] = {6, 10, 12, 15, 20, 23, 29, 30, 31, 37, 41, 43, 47, 53, 59, 60, 61}

3. D. I, II and III.

Step-by-step explanation:

U = {21, 22, 23, ..., 64}

A prime number is a number that can be divided only by 1 and itself.

A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}

B = {24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63}

C = {6, 10, 12, 15, 20, 30, 60}

1. Find n[(A U B) - C]

n(A U B) = {23, 24, 27, 29, 30, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 60, 61, 63}

n[(A U B) - C] = {23, 24, 27, 29, 30, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 60, 61, 63} - {6, 10, 12, 15, 20, 30, 60}

Since only 30 and 60 are common to n(A U B) and C, we therefore remove them it and have:

n[(A U B) - C] = {23, 24, 27, 29, 33, 36, 37, 39, 41, 42, 43, 45, 47, 48, 51, 53, 54, 57, 59, 61, 63}

2. Find n[(A - B) U C]

To get n(A - B) we remove all the elements of B in A. Since there are no common elements between A and B, we therefore have:

A - B = A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}

C = {6, 10, 12, 15, 20, 30, 60}

Therefore, we have:

n[(A - B) U C] = n[A U C] = {6, 10, 12, 15, 20, 23, 29, 30, 31, 37, 41, 43, 47, 53, 59, 60, 61}

3. Which of the following is/are true?

I. A ∩ B = A ∩ C

A ∩ B = ∅

A ∩ C = ∅

Therefore, A ∩ B = A ∩ C is true.

II. A - B = A - C

A - B = A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}

A - C = A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}

Therefore, A - B = A - C is true.

III. A ∩ (B ∪ C) = ∅

A = {23, 29, 31, 37, 41, 43, 47, 53, 59, 61}

B U C = {6, 10, 12, 15, 20, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63}

Therefore, A ∩ (B ∪ C) = ∅ is true.

Therefore, the correct option is D i.e. I, II and III are true.

Answer:

x ≈ 33

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan67° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{x}{14}[/tex]

Multiply both sides by 14

14 × tan67° = x, thus

x ≈ 33 ( to the nearest whole number )

Answer:

9.90

Step-by-step explanation:

a2+b2=c2

(7)2+(7)2=c2

49+49=c2

98=c2

√98=√c2

9.90=c

Answer:

$57.81

Step-by-step explanation:

74/128 = 57.8125, which rounds to 57.81

Answer:

x = 8

Step-by-step explanation:

Using Pythagoras' identity in the right triangle

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 6² = 10²

x² + 36 = 100 ( subtract 36 from both sides )

x² = 64 ( take the square root of both sides )

x = [tex]\sqrt{64}[/tex] = 8

Answer:

1: 30 degrees

Step-by-step explanation:

In Physics, we have the law of reflection. This law states that when light rays hit the smooth surface of mirror or any smooth polished surface, the angle of incidence is equivalent to the angle of reflection.

Mathematically:

Angle of incidence = Angle of reflection

From the above question, the angle of incidence is on a smooth plane mirror = 30°

Since:

Angle of incidence = Angle of reflection

30° = 30°

Therefore, based on the law of reflection, the Angle of reflection = 30°

Answer:

nhyh

Step-by-step explanation:

h

mhhhygvvvx VC ghv h h h b

Answer:

x = 180 - 76 - 63

x = 41°

Step-by-step explanation:

Answer:

x =41

Step-by-step explanation:

The three angles form a straight line so they add to 180 degrees

76+ x+ 63 = 180

Combine like terms

139 + x = 180

Subtract 139 from each side

139-139 + x = 180-139

x =41

Answer:

-1.00000425998

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

= [tex]\sf{ = \sqrt[3]{3375} }[/tex]

= Factors of 3375 = (3×3×3)×(5×5×5) = 3×5 = 15

Answer:

30 units

Step-by-step explanation:

8/6=6/NW

36=NW8

NW=4.5

4.5^2+6^2=OW^2

56.25=OW^2

OW=7.5

7.5+10+12.5=30

Answer:

30

Step-by-step explanation:

Answer:

The value of the car in 8 years is : v(t)=69,326 rounded to the nearest dollar, yet if not rounded to the nearest dollar then it is 69,326.968936

Step-by-step explanation:

v(t)=28,000(1.12)^8

v(8)=69,326

Answer:

A) is the last option 5/7.

Step-by-step explanation:

B) the third and last option. 7/-9 and -7/9

Answer:

5

Step-by-step explanation:

Vertices are just corners (they try to use fancy words to try to confuse students lol). If you count all of the corners/vertices, you will find that there are a total of 5.