All categories

3 years ago

Ten points - Check attached image

Mathematics

1 answer:

Rudiy273 years ago

8 0

Answer:

Option D will be the correct option.

Step-by-step explanation:

Formula to get the area of the sector,

Area of the sector = $\frac{\theta}{360}(\pi r^{2})$

Here θ = Angle subtended by the arc of the sector at the center

r = radius of the circle

Area of the shaded sector = $\frac{155}{360}\times \pi (4.3)^2$

= 25.01 square inches

Area of the shaded sector will be 25 square inches (approximately).

Option D will be the correct option.

You might be interested in

4. A bag contains five red marbles, two orange marbles, one yellow marble, and two green marbles. Two marbles are drawn from the

Vitek1552 [10]

Answer:

C. 0.08889

Step-by-step explanation:

Total number of marbles:

5 + 2 + 1 + 2 = 10

There are two possibilities

Orange then green or green the orange

The probabilities are:

P(o&g) = 2/10*2/9 = 2/45
P(g&o) =2/10*2/9 = 2/45

Required probability is:

P = 2/45*2 = 4/45 = 0.08889

Correct choice is C

4 0

3 years ago

What is y=4x^2-9x+1 in vertex form

Anna11 [10]

Answer:

$y = 4 \left(x - \dfrac{9}{8} \right)^2 - \dfrac{65}{16}$

Step-by-step explanation:

$y = 4x^2 - 9x + 1$

You need to complete the square on the right side.

$y = (4x^2 - 9x) + 1$

$y = 4(x^2 - \dfrac{9}{4}x) + 1$

$y = 4 \left( x^2 - \dfrac{9}{4}x + \left( \dfrac{9}{8} \right)^2 \right) + 1 - 4\left( \dfrac{9}{8} \right)^2$

$y = 4 \left(x - \dfrac{9}{8} \right)^2 + 1 - 4 \left( \dfrac{81}{64} \right)$

$y = 4 \left(x - \dfrac{9}{8} \right)^2 + 1 - \dfrac{81}{16}$

$y = 4 \left(x - \dfrac{9}{8} \right)^2 + \dfrac{16}{16} - \dfrac{81}{16}$

$y = 4 \left(x - \dfrac{9}{8} \right)^2 - \dfrac{65}{16}$

3 0

3 years ago

The sum of 4 consecutive integers is 198 what is the fourth number in the sequence

miss Akunina [59]

The fourth number is 51. 48+49+50+51= 198.
THE NUMER IS 48

5 0

3 years ago

Which two integers is 42 between? -8 and -7 -5 and -4 -7 and -6 -9 and -8

Karo-lina-s [1.5K]

Answer:

6 and 7

Step-by-step explanation:

we know that 42 will lie between 36 and 49

And 36=6; 49=7

so we can be sure that 42 lies between 6 and 7

3 0

3 years ago

Brenda has 5/6 of a pie to divide evenly amount 4 people. what fraction of a pie does each person get

yulyashka [42]

The fraction of the pie Each person will get from Brenda = ( 5 / 24 ) of the pie.

Given,

Brenda has 5/6 of pie with her.

The total number of persons = 4

Now, the fraction of the whole pie each person will take :-

( Number of pie ) / ( total persons )

= ( 5 / 6) / 4

= ( 5 / ( 6 x 4 ) )

= ( 5 / 24 )

Therefore, the fraction of the pie each person get from Brenda = ( 5 / 24 )

Learn more about fraction of the pie here : brainly.com/question/13251747

#SPJ4

4 0

2 years ago