MATHEMATICS HIGH SCHOOL

AB= 12m, BC= 16 cm and AD= 13 m.
Find the area of the shaded region.​
AB= 12m, BC= 16 cm and AD= 13 m. Find - 1

Answers

Answer 1
Answer:

Answer:

100π - (96 + (13/2)√231 ) m^2

Step-by-step explanation:

We will solve this by finding the area of the triangles (the quadrilateral is cut by the diameter) and subtract it from the area of the circle.

There is a circle theorem which states that if a triangle is in the semicircle and the hypothenuse extends to the length of the diameter, the angle at B here is 90 degrees.

Since angle B is 90 degrees we can use the Pythagorean theorem (a^2 + b^2 = c^2) to find Line AC.

so 144 + 256 = 400

√400 = 20

So diameter is 20

Finding the area of the top triangle:

1/2(12x16) = 96cm^2

For the bottom triangle, we need the side DC to find the area. To find it we will apply the theorem once again.

400 = 169 + DC^2

DC^2 = 231

DC = √231

so the area of the bottom triangle is 1/2(13√231) = (13/2)√231

Now we add the area of the triangles for the quadrilateral and subtract from the circle area.

The circle area is 100π (πr^2)

Hence, the area of the shaded region is:

100π - (96 + (13/2)√231 ) m^2

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Answers

Answer:

C. A bag of 15 marbles , with 9 marbles representing female students, has a marble drawn 4 times with replacement

Step-by-step explanation:

i took the test and got it right ;)

Answer:

the answerr is C

Step-by-step explanation:

Barbra buys-3 boxes of eggs
1 jar of mayo costing £1.80
2 loaves of bread
she pays with a £10 note and gets £1.60 change. Barbra works out that the cost of 1 loaf of bread is £1.40 .
Is she correct? You MUST show your working out

Answers

Answer:

No, Barbra is wrong as cost of 1 loaf of bread is £1.50 not $1.40.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Barbara buys 3 boxes of eggs costing £1.20 each

1 jar of mayo costing £1.80

2 loaves of bread

she pays £10 note and gets £1.60 change

Barbara works out the cost of 1 loaf of bread as £1.40.

Is she correct? You MUST show your working out.

The explanation of the answer is now given as follows:

Total cost of 3 boxes of eggs = Number of boxes of eggs bought * Price per box of egg = 3 * £1.2 = £3.60

Cost of 1 jar of mayo = £1.80

Total amount spent = Note paid - Change collected = £10 - £1.60 = £8.40

Total cost of 2 loaves of bread = Total amount spent - Total cost of 3 boxes of eggs - Cost of 1 jar of mayo = £8.40 - £3.60 - £1.80 = £3.00

Cost of 1 loaf of bread = Total cost of 2 loaves of bread / 2 = £3.00 / 2 = £1.50

Therefore, Barbra is wrong as cost of 1 loaf of bread is £1.50 not $1.40.

Riya is applying mulch to her garden. She applies it at a rate of 250{,}000\text{ cm}^3250,000 cm 3 250, comma, 000, start text, space, c, m, end text, cubed of mulch for every \text{ m}^2 m 2 start text, space, m, end text, squared of garden space. At what rate is Riya applying mulch in \dfrac{\text{m}^3}{\text{m}^2} m 2 m 3 ​ start fraction, start text, m, end text, cubed, divided by, start text, m, end text, squared, end fraction?

Answers

Complete Question

Riya is applying to her garden. She applies it at a rate of 25, 000 cm³ of mulch for every m² of garden space. At what rate is Riya applying mulch in m³/m²

Answer:

0.25m³/m²

Step-by-step explanation:

We are told the Riya sprays mulch at 250,000cm³ per m²

To find the rate at which Riya is spaying the mulch in m³/m² we would have to convert 250,00cm³/m² to m³/m²

1 cm³ = 1 × 10^-6m³

250,000 cm³ = x m³

Cross Multiply

1 cm³ × xm³ = 250,000cm³ × 1 × 10^-6 m³

X

x m³ = 250,000cm³ × 1 × 10^-6 m³/1 cm³

= 0.25m³

Therefore, the rate at which Riya is spraying the mulch = 0.25m³/m²

Answer:

0.25

Step-by-step explanation:

For a scavenger hunt, Chessa put one coin in each of10 small boxes. Four coins are quarters, 4 are dimes, and 2 are nickels.How could you simulate choosing one box at random? Would you use thesame simulation if you planned to put these coins in your pocket andchoose one? Explain your reasoning.

Answers

first things first, there is more chance to getting the quarters and dimes, and a lesser chance to getting the nickels.

now in the pockets different, and depending if the coins are the same.

hope this helped!!!

Y=x²+3x-7 y=5x-8 how many solutions exist for these quantities

Answers

Answer:

Step-by-step explanation:

Which is the most descriptive name for the shape below?shape
A. square
B. rectangle
C. rhombus
D. quadrilateral

Answers

B. Rectangleeeeeeeeeeeeeeeeeee

Answer:

It's either B or D

Step-by-step explanation:

Which do you think it is?
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