All categories

3 years ago

Find the area of sector AOB. Express your answer in terms of pi and rounded to the nearest tenth.

Mathematics

1 answer:

STatiana [176]3 years ago

7 0

63 $\pi$

The sector is $\frac{70}{360}$ ; there are 360 degrees in a circle.
You use the formula $\pi r^{2}$ .
18cm is the radius, and then you square it to get 324.
Multiply 324 by $\frac{70}{360}$
You get 63 $\pi$

You might be interested in

In mrs.baes class only 15 boys go to the bathroom at a time 13 girls at a time.there is 50 boys and 20 girls how boys altogeter

Stella [2.4K]

70 kids altogether because 50+20 is 70

5 0

2 years ago

Share $600 between Anna and Raman in the ratio 3:7 and 1:4

Ulleksa [173]

Answer:

3 : 7 =>

Anna = $180

Raman = $420

1 : 4 =>

Anna = $120

Raman = $480

Step-by-step explanation:

Shares when ratio is 3 : 7

Anna : Raman = 3 : 7

Sum of ratio 10

Anna's share=

$\frac{3}{10} \times 600 = \$ 180$

Raman 's share=

$\frac{7}{10} \times 600 = \$ 420$

Shares when ratio is 1 : 4

Anna : Raman = 1 : 4

Sum of ratio = 5

Anna 's share =

$\frac{1}{5} \times 600 = \$ 120$

Raman's share =

$\frac{4}{5} \times 600 = \$ 480$

8 0

2 years ago

Could someone help me understand how to solve this?

monitta

Answer:

Amount in 4% account: $550

Step-by-step explanation:

Use simple interest formula $I=P\cdot r\cdot t,$ where

I = interest

P = principal

r = rate (as decimal)

t = time.

4% account:

$P_1=x\\ \\r_1=0.04\\ \\t_1=1,$

then

$I_1=x\cdot 0.04\cdot 1=0.04x$

5% account:

$P_2=1,500-x\\ \\r_2=0.05\\ \\t_2=1,$

then

$I_2=(1,500-x)\cdot 0.05\cdot 1=0.05(1,500-x)$

You have earned $69.50 in total, so

$I_1+I_2=69.50\\ \\0.04x+0.05(1,500-x)=69.50\\ \\4x+5(1,500-x)=6,950\\ \\4x+7,500-5x=6,950\\ \\4x-5x=6,950-7,500\\ \\-x=-550\\ \\x=550\\ \\1,500-x=1,500-550=950$

Amount in 4% account: $550

Amount in 5% account: $950

8 0

2 years ago

Does this table represent an exponential function? x 1 2 3 4 y 4 16 64 256

4vir4ik [10]

Answer:

Yes, the given table represent an exponential function.

Step-by-step explanation:

Given table is :

x y

1 4

2 16

3 64

4 256

Now we need to identify if the given table represent an exponential function or not. To find that we need to check if we can write the numbers in y-column in form of exponential function $y=ab^x$ .

We see that y-values are basically powers of 4 so we can write the related function as $y=4^x$ .

Which is clearly in form of $y=ab^x$ .

Hence yes, the given table represent an exponential function.

6 0

3 years ago

Alonso is buying a new phone for $ 870

Lubov Fominskaja [6]

Answer:

Step-by-step explanation:

1. Get 15% of 870:

First, get 10 percent of 870, which is 87, then half that, which is 43.5

Get the 87 and add the 43.5 on it, to get the full 15%, you end up with $130.5, which is the monthly payment.

(Only problem is that im pretty sure you put an extra 0, because if you just wrote 87 dollar's then you would've got 13.05, the actual answer, but if you add an extra 0 then you end up with 130$, just to let you know.)

7 0

2 years ago