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2 years ago

Please help me! please!

Mathematics

1 answer:

netineya [11]2 years ago

5 0

Answer:

(c)

Step-by-step explanation:

(c). Stopping for traffic

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Find r if 0=pi/6 rad sector 64m^2

kap26 [50]

Given:

Area of a sector = 64 m²

The central angle is $\theta=\dfrac{\pi}{6}$ .

To find:

The radius or the value of r.

Solution:

Area of a sector is:

$A=\dfrac{1}{2}r^2\theta$

Where, r is the radius of the circle and $\theta$ is the central angle of the sector in radian.

Putting $A=64,\theta=\dfrac{\pi}{6}$ , we get

$64=\dfrac{1}{2}r^2\times \dfrac{\pi}{6}$

$64=\dfrac{\pi}{12}r^2$

$64\times \dfrac{12}{\pi}=r^2$

$\dfrac{768}{\pi}=r^2$

Taking square root on both sides, we get

$\sqrt{\dfrac{768}{\pi}}=r$

$16\sqrt{\dfrac{3}{\pi}}=r$

Therefore, the value of r is $16\sqrt{\dfrac{3}{\pi}}$ m.

6 0

2 years ago

9 A rectangle of perimeter 42 cm is

lianna [129]

Answer:

The correct answer is = p = 15 and q = 6.

Step-by-step explanation:

Given:

Perimeter of rectangle = 42 cm

p - q = 9 cm

length = p

width = q

we know:

Perimeter of rectangle= 2(l+w)

solution:

42 = 2(P+q)

21= p+q

Difference of p and q = 9 cm.

Then, P+q=21 .... 1

P-q=9 ....2

Adding both 1 and 2

2P = 30

P= 15cm and

q = 15-9

= 6cm

5 0

3 years ago

Dan buys a car for £1700.

Crank

Answer: £2080.00 :)

hope it helps

5 0

3 years ago

How many times larger than<br> (15 + 10) is 8 x (15 + 10)?

zvonat [6]

Answer:

8 times larger

Step-by-step explanation:

(15+10) is the singular equation alone. Muiltiply it by 8, and it's 8 times larger then the initial singular expression. Therefore, the answer is 8 times larger.

3 0

3 years ago

For Quon's first 6 quizzes he had a mean score of 33 points. After his 7th quiz his mean score was 32 points. After the 8th quiz

Alexandra [31]

Answer:

Difference in scores between his 7th and 8th quizzes = 22

Step-by-step explanation:

Given: Mean score for first 6 quizzes is 33 points. After his 7th quiz his mean score was 32 points. After the 8th quiz the mean was 34.

To find: difference in scores between his 7th and 8th quizzes

Solution:

Mean scores = Total points scored in quizzes ÷ Number of quizzes

So,

Total points scored in quizzes = Mean scores × Number of quizzes

As mean score for first 6 quizzes is 33 points,

Total points scored in 6 quizzes = 6 × 33 = 198

As mean score for first 7 quizzes is 32 points,

Total points scored in 7 quizzes = 7 × 32 = 224

So,

7th score = Total points scored in 7 quizzes - Total points scored in 6 quizzes

= 224 - 198

= 26

As mean score for first 8 quizzes is 34 points,

Total points scored in 8 quizzes = 8 × 34 = 272

So,

8th score = Total points scored in 8 quizzes - Total points scored in 7 quizzes

= 272 - 224

= 48

Therefore,

Difference in scores between his 7th and 8th quizzes = 48 - 26

= 22

7 0

2 years ago