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Fiesta28 [93]
3 years ago
14

a garden is in a shape of a rectangle ABCD and a semi circle AD the diameter of the semi circle carol is going to cover the gard

en with fertiliser a box of fertiliser costs £4.99 carol has been told that one box is going to cover 12 m squared of garden work out the cost of buying enough fertiliser to cover the garden completely
Mathematics
1 answer:
ser-zykov [4K]3 years ago
5 0
The shape of the garden is composite figure of a rectangle and a semicircle. The area of that shape will be
Area = AB x CD + π x AD² / 4
Once the area is calculated, the number of boxes of fertilizer is determined
Area / 12 m = Number of boxes
After getting the number of boxes, the total cost can be determined
<span>£4.99 x Number of boxes</span>
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In the figure above, PQRS is a circle. If PQT and SRT<br>are straight lines, find the value of x.
Elena L [17]

Given:

PQRS is a circle, PQT and SRT  are straight lines.

To find:

The value of x.

Solution:

Since PQRS is a circle, PQT and SRT  are straight lines, therefore, PQRS isa cyclic quadrilateral.

We know that, sum of opposite angles of a cyclic quadrilateral is 180 degrees.

m\angle SPQ+m\angle QRS=180^\circ

81^\circ+m\angle QRS=180^\circ

m\angle QRS=180^\circ-81^\circ

m\angle QRS=99^\circ

Now, SRT  is a straight line.

m\angle QRT+m\angle QRS=180^\circ             (Linear pair)

m\angle QRT+99^\circ=180^\circ

m\angle QRT=180^\circ-99^\circ

m\angle QRT=81^\circ               ...(i)

According to the Exterior angle theorem, in a triangle the measure of an exterior angle is equal the sum of the opposite interior angles.

Using exterior angle theorem in triangle QRT, we get

m\angle PQR=m\angle QRT+m\angle QTR

x=81^\circ+22^\circ

x=103^\circ

Therefore, the value of x is 103 degrees.

4 0
3 years ago
Barbara purchased a home entertainment center for $2,665 using an 18-month deferred payment plan with an interest rate of 24.36%
Andre45 [30]

Answer:

P = $ 144.99

Step-by-step explanation:

Given data:

cost of home entertainment center is $2665

duration of deferred payment plan is 18 month

interest rate is 24.36%

Total amount to be paid is = P(1+ \frac{R}{100})^t

                                          = 2665 (1+ \frac{24.36}{100})^1.5

A = 3695.88

From the information in the questioon this amount is to be paid in 3 year . Thus we have

Monthly payment is =

P = \frac{r(Pv)}{1 - (1+ r)^{-n}}

p = monthly payment

Pv = present value = 3695.88

r =rate per period = \frac{24.36}{12} = 0.020

n = number of period = 12\times 3 = 36

plugging all value in the above formula

P = \frac{0.020\times 3695.88}{1 - (1+0.020)^{-36}}

P = $ 144.99

5 0
3 years ago
What is the solution set for the inequality,
creativ13 [48]

Answer:

x≤−6

Step-by-step explanation:

Let's solve your inequality step-by-step.

4(x−3)−7x≥6

Step 1: Simplify both sides of the inequality.

−3x−12≥6

Step 2: Add 12 to both sides.

−3x−12+12≥6+12

−3x≥18

Step 3: Divide both sides by -3.

−3x

−3

≥

18

−3

x≤−6

6 0
2 years ago
Read 2 more answers
What is the value 2 pi into the palette?
solong [7]

Answer:  The answer is 6.28571 . . ..


Step-by-step explanation: We are given ti find the value of twice of pi into the palette.

We are familiar with the irrational number pi. It is defined as the ration of circumference of a circle to the diameter of the circle  and its value is 22/7 or 3.14159 . . ..

Therefore, the value of 2 pi can be calculated as follows.

2\pi=2\times\dfrac{22}{7}=\dfrac{44}{7}=6.28571~.~.~..

Thus, the value of 2pi is 6.28571 . . ..

8 0
3 years ago
Read 2 more answers
PLS HELP AS SOON AS YOU CAN!!!....
N76 [4]

Answer:

I would say B because there are 15 1s


5 0
3 years ago
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