The Jones family wants to enclose their circular garden with a fence. To the 1 point
nearest meter, what is the minimum length of fencing they need to buy?
Note that radius of garden is 62.5m. User as 3.14.

Answer:

4

Step-by-step explanation:

Break down the shape into a rectangle and a triangle

To find the base of the triangle subtract

(3x-1)-(x+1)= 2x-2

which means the area of the triangle is

.5(2x-2)(x-1)= x²-2x+1

Let's then find the area of the rectangle

(x+1)(x-1)= x²-1

Take the sum and set this equal to 40

(x²-2x+1)+(x²-1)=40

simplify...

2x²-2x-40=0

x²-x-20=0

(x-5)(x+4)=0

Reject the negative answer and get x=5

Then it's just a matter of plugging in x=5 for the height (x-1)

5-1=4 which is the final answer

Answer:

4 cm.

Step-by-step explanation:

Area formulas:

A(Rectangle) = bh

A(Triangle) = 1/2bh

A(Trapezium) = A(Rectangle) + A(Triangle)

Use the information given and substitute the values to solve for the missing height:

A(Rectangle) + A(Triangle) = A(Trapezium)

bh + 1/2bh = 40

(x + 1)(x - 1) + 1/2(2x - 2)(x - 1) = 40

x² - 1 + x² - 2x + 1 = 40

2x² - 2x = 40

2x² - 2x - 40 = 0

Use Quadratic Formula to solve for x:

a = 2, b = -2, c = -40

x = (-b ± √(b² - 4ac))/2a

x = (-(-2) ± √((-2)² - 4(2)(-40)))/2(2)

x = (2 ± 18)/4

x = 5 and x = -4

Since we cannot have a negative height, we use x = 5:

h = (5) - 1 = 4

Therefore, the height of the trapezium is 4 cm.

Answer:

i). 600 Boys

ii). 1080 Students

iii). 7 Trees each students On Second day

Step-by-step explanation:

According to the Question,

i).  If the number of trees planted by the students on the first day was 5400.

NOw, This 9x Planted 9x × 5 ⇒ 45x Trees on First Day.

45x = 5400 ⇔ x=120

So, The Number Of Boys Are 5x = 5 * 120 ⇒ 600Boys

And, The Number of Girls Are 4x = 4 * 120 ⇒ 480Girls

ii).  the total number of students who participated in this program is 600 boys + 480 Girls = 1080 Students.

iii). If the total number of trees planted on the second day was 7560. We Know Every Student Plant Equal Number Of trees on each day.

So, 1080 Students Planted 7560 Plants

Therefor, each Student Planted 7560/1080 = 7 Trees Each On Second day.

Answer:

Step-by-step explanation:

Ans:A.

6×5÷2×11=165

Answer:

A

Step-by-step explanation:

The volume (V) of the tent is calculated as

V = Al ( A is the area of the triangular end and l is its length )

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )

Here b = 5 and h = 6 , so

A = [tex]\frac{1}{2}[/tex] × 5 × 6 = 15 ft² , then

V = 15 × 11 = 165 ft³ → A

Answer:

C. LM ≅ JH

Step-by-step explanation:

The criteria that needs to be satisfied before two right triangles can be said to be congruent to each other is by the Hypotenuse-Leg Theorem are:

1. Both must have a corresponding leg that are congruent to each other.

In the diagram given above, NM is congruent to KH. They are corresponding legs that are congruent.

2. The hypotenuse of one triangle must be equal to that of the other.

We are not given if the hypotenuse of one, LM is congruent to the hypotenuse of the other, JH.

Therefore, the additional information required would be:

LM ≅ JH

Answer:

B. 9

Step-by-step explanation:

solve it and u will find out

Answer:

Point S

Step-by-step explanation:

Given that :

Time taken = 1 2/5 hours

Converting to decimal :

1 2/5 = 7/5 = 1.40 hours

From the number line, distance between each successive tick mark represents, 0.05 hours :

Hence, the point which depicts Toby's time on the number line is: point S

Answer: he can pay for 6 people total (including him)

Step-by-step explanation:

first lets subtract the flat fee from the total amount of money he has

70 - 40 = 30

now lets divide 30 by  $4.50 to see how many people he can pay for

30 / $4.50 = about 6.5

obviously you cant pay for half a person so he can invite 5 people (he also has to pay for himself)

Answer:

6 people

Step-by-step explanation:

Answer:

To prove that ΔABC ≅ ΔMQR using SAS, we show that two sides with the intersection angle are congruent. From the diagram, it is shown that CA is congruent to RM. From the first option, given that m∠A = 64° and AB = MQ = 31 cm, then we have CA = RM, AB = MQ, and CAB = RMQ (i.e. m∠A = m∠M = 64°).

Answer:

the second one

Step-by-step explanation:

its the sum oh 90

Answer:

3 < x

Step-by-step explanation:

3(8 – 4x) < 6(x – 5)

Divide each side by 3

3/3(8 – 4x) < 6/3(x – 5)

(8 – 4x) < 2(x – 5)

Distribute

8-4x < 2x-10

Add 4x to each side

8-4x+4x < 2x-10+4x

8 < 6x-10

Add 10 to each side

8+10 < 6x-10+10

18 < 6x

Divide by 6

18/6 < 6x/6

3 < x

Answer:

sin (A) = 8/17

Step-by-step explanation:

Sine = opposite/hypotenuse

Sin (A) = 16/34

Sin (A) = 8/17

Answer:

sin (A) = 16/34

Step-by-step explanation:

SOH (sine = opposite/adjacent)

Answer:

(5a+2)(a+4)

=5a^2+20a+2a+8

=5a^2+22a+8

Answer:

[tex]5 {a}^{2} + 22a + 8[/tex]

Step-by-step explanation:

[tex](5a + 2)(a + 4) \\ 5a(a + 4) + 2(a + 4) \\ 5 {a}^{2} + 20a + 2a + 8 \\ 5 {a}^{2} + 22a + 8 \\ [/tex]

Answers:

=================================================

Explanation:

To get the mean, you add up the numbers and then divide by n = 8, since there are 8 scores

Adding the scores gets us: 87+60+76+92+63+91+88+75 = 632

Divide that over n = 8 to get 632/n = 632/8 = 79

The mean is 79

You have the correct answer. Nice work.

---------------

The mode is the most frequent value.

In this data set, we don't have any repeated values. Each unique number is listed one time only. So that tells us we don't have a mode here.

---------------

To get the median, we need to sort the items from smallest to largest

{87,60,76,92,63,91,88,75} sorts to {60,63,75,76,87,88,91,92}

Because we have n = 8 values, which is an even number, this tells us that the median is between slot n/2 = 8/2 = 4 and slot 5

The values 76,87 are in slots four and five in that order. Add them up and divide by 2:  (76+87)/2 = 163/2 = 81.5 is the median

Answer:

You need to add the eqautions

Step-by-step explanation:

Answer: (3) 21

Step-by-step explanation: 20.78 rounded to 21

Answer: 30%

Step-by-step explanation:

Answer:

A = 24

Step-by-step explanation:

Figure shown is a trapezoid

Area of a trapezoid = [tex]\frac{a+b}{2} h[/tex]

where a and b = base lengths and h = height

The trapezoid shown has the following dimensions

Shorter base length (a) = 6

Longer base length (b) = 10

Height (h) = 3

Using these dimensions , plug in the values into the area formula

A = [tex]\frac{6+10}{2} 3[/tex]

add 6 + 10 = 16

[tex]A=\frac{16}{2} 3[/tex]

divide 16/2 = 8

[tex]A = (8)(3)[/tex]

multiply 8 times 3

A = 24

Answer:

[tex](i). \\ { \tt{area = 2(\frac{1}{2} \times base \times height}} )\\ = 4 \times 3 \\ = 12 \: sq \: units \\ \\ (iii). \\ = \frac{1}{2} \times 8 \times 6 \\ = 24 \: sq \: units \\ \\ (ii). \\ = \frac{1}{2} \times 12 \times 5 \\ = 30 \: sq \: units[/tex]

Answer:

78.5 cm²

Step-by-step explanation:

GIVEN :-

TO FIND :-

FORMULAES TO BE USED IN THIS QUESTION :-

SOLUTION :-

[tex]Radius\: (r) = \frac{Diameter}{2} = \frac{10}{2} = 5 cm[/tex]

[tex]=> Area = \pi r^2[/tex]

               [tex]= 3.14 \times (5)^2[/tex]

               [tex]= 3.14 \times 25[/tex]

               [tex]= 78.5 \: cm^2[/tex]

Step-by-step explanation:

you did not show us the graph, and your problem description is a bit gibberish - I am sure there are some important parts missing.

therefore it is impossible to answer this.

Answer:

354 $ is correct

Step-by-step explanation:

your v id dead

Answer:

The associative property allows us to change groupings of addition or multiplication and keep the same value. (a+b)+c = a+(b+c) and (a*b)*c = a*(b*c).

Step-by-step explanation:

in mathematics, either of two laws relating to number operations of addition and multiplication, stated symbolically: a + (b + c) = (a + b) + c, and a(bc) = (ab)c; that is, the terms or factors may be associated in any way desired.

Answer:

Associative

Step-by-step explanation:

Answer:

Step-by-step explanation:

Step-by-step explanation:

the answer is in the image above

========================================================

Explanation:

There are 7 numbers in the set {1,2,...,6,7}. Then we add on 0 to get to the 8th number. So there are 8 numbers overall listed in bold above.

Since the sample space is {0,1,2,...,8,9}, we have 10 digits listed here. So the probability of success is 8/10 = 0.80 = 80%

Side note: The values 8 and 9 would represent a failure. We have 2 failures out of 10 so we get 2/10 = 0.20 = 20%

The groups of numbers could represent a success 80 percent is {0, 1, 2, 3, 4, 5, 6, 7}. Therefore, option C is the correct answer.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

We know that, probability of an event = Number of favourable outcomes/Total number of outcomes.

Here, the sample space is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

To simulate an event that has a probability of success of 80%.

Now, 8/10 ×100

= 8×10

= 80%

Therefore, option C is the correct answer.

To learn more about the probability visit:

https://brainly.com/question/11234923.

#SPJ7

Answer:

338 feet

Step-by-step explanation:

350 - 12 = 338

Step-by-step explanation:

No, 1% of 40 is the same as 40% of 1. Which is 0.025% You cant have 0.025% of a learner or a human so this isn't possible.