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3 years ago

PLS HELP. It’s question 11

Mathematics

2 answers:

bija089 [108]3 years ago

6 0

Answer:

B.) 10 cm squared

Step-by-step explanation:

OverLord2011 [107]3 years ago

3 0

It would be 10 cm squared

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An investment earn 6% simple interest. What amount of principal is need to have $3000 after 5 years

irakobra [83]

Answer:

The amount of $1000 principal is needed to have $3000 after 5 years.

Step-by-step explanation:

As the interest formula is

$I=Prt$

Where

P is the principle

r is the rate in decimal

t is the time in years

Substituting the following values in the interest formula and solve for P

I=$3000

r = 6% = 6/100 = $0.06$

t = 5

so the equation becomes

$I=Prt$

$3000=P\left(0.06\right)\left(5\right)$

switch both sides

$P\left(0.06\right)\left(5\right)=3000$

$P\left(0.3\right)=3000$

$P=10000$ $

Therefore, the amount of $1000 principal is needed to have $3000 after 5 years.

6 0

3 years ago

A circle with area \blue{9\pi}9πstart color #6495ed, 9, pi, end color #6495ed has a sector with a central angle of \purple{60^\c

Liono4ka [1.6K]

Answer:

The area of the sector is 3pi/2

Step-by-step explanation:

A sector is that part of a circle bounded by 2 radii and an arc

The circle has an area of 9 pi with a central angle of 60 degrees.

Now the area of the sector is pretty much straight forward to calculate. Since it is a circle, the total angle we have is 360.

Now the sector subtends an angle of 60 degrees at the centre. What this means is that the sector is exactly 1/6 of the circle. meaning that cutting the circle into 6 slices will give the sector.

Thus, the area of the sector is one-sixth the area of the circle.

The area of the sector is thus 1/6 * 9pi = 9pi/6 = 3pi/2 or 3/2 pi

6 0

3 years ago

Which of the following triangles is not an obtuse triangle?

sdas [7]

I think the answer is the third one

4 0

3 years ago

Given the sequence 4, 8, 16, 32, 64, ..., find the explicit formula.

Goshia [24]

Answer:

$\sf 2^{(n+1)}$

Step-by-step explanation:

Explicit formula is used to represent all the terms of the geometric sequence using a single formula.

$\sf \boxed{\bf t_n=ar^{(n-1)}}$

Here, a is the first term.

r is the common ratio.

r = second term ÷ first term

4, 8,16,32,64,.....

a = 4

r = 8 ÷4 = 2

$\sf t_n =4*2^{(n-1)}$

$\sf = 4*2^n * 2^{(-1)}\\\\ = 4*2^n*\dfrac{1}{2}\\\\ = 2*2^n$

$\sf = 2^{(n+1)}$

4 0

2 years ago

A child enters a carousel that takes one minute to revolve once around. The child enters at the point (1,0). Assume the carousel

Shtirlitz [24]

Answer:

(-1,0)

Step-by-step explanation:

Given that ;

1 minute= 1 revolution

2minutes=2 revolution

30seconds, 0.5 minutes= 1/2 a revolution

Hence;

2 minutes 30 seconds will be two and a half revolutions

2 minutes will complete 2 revolutions to return to point (1,0), then from (1,0), the carousel proceeds to cover the half revolution and complete 2 minutes and 30 seconds

Note the revolutions will be conducted in anticlockwise direction, so the 1/2 revolution will follow the property of rotation in anticlockwise direction about the origin through 180°, starting from point (1,0)

The property states that a points (h,k) rotated about the origin in anticlockwise direction through 180° will be mapped to (-h,-k)

Hence (1,0) will be mapped to (-1,0)

4 0

3 years ago