All categories

3 years ago

In circle P with m NPQ = 46 and NP=20 units find area of sector NPQ.

Mathematics

2 answers:

liraira [26]3 years ago

8 0

Answer:

160.57

Step-by-step explanation:

The formula is:

$angle/360 *\pi *radius^2$

Because you find the total area of the circle, but the sector only represents NPQ/360 so you have to multiply the area with that.

$46/360 * \pi *20^2$ = $23/180 * \pi *400$

= $160.57029...$

Rounded to the nearest hundredth this would be 160.57

antoniya [11.8K]3 years ago

6 0

Answer:

Round to the nearest hundredth.

You might be interested in

A classroom contains 33 students. In the classroom, 6 students wear red shirts, 11 wear white shirts, 8 wear black shirts, and t

-Dominant- [34]

Answer:

She picked white because the board is white

8 0

3 years ago

Read 2 more answers

If the volume of the right prism shown is 27 ft3, then h = __feet.

konstantin123 [22]

Answer:

h=6

Step-by-step explanation:

To find the volume of a right angle prism-

Find area of cross-section, in this case an isoscles triangle so we know that both of the parallel lines are 3ft

To find the area of the cross-section, do:

3 x 3 = 9

9 ÷ 2 = 4.5 (Area of cross-section)

Since we don't know the length of h, we need do:

27^3 ÷ 4.5 = 6

Therefore 6 is h

Hope I explained it okay:)

3 0

2 years ago

The combined area of the 3 windowpanes and frame shown below is 924 in.2. The frame is of uniform width. What is the side length

wariber [46]

Answer:

Option A. $x=10\ in$

Step-by-step explanation:

we know that

The combined area of the 3 windowpanes and frame is equal to

$(3x+12)(x+12)=924\\ \\3x^{2}+36x+ 12x+144=924\\ \\ 3x^{2}+48x-780=0$

using a graphing tool to solve the quadratic equation

The solution is $x=10\ in$

see the attached figure

5 0

3 years ago

Please I need a quick reply

Rom4ik [11]

Answer:

Step-by-step explanation:

It sounds most likely to the right answer

¯\_(ツ)_/¯

4 0

2 years ago

Read 2 more answers

Suppose you invest $1400 at interest rate of 4.3% compounded continuously. How much will you have in the account after 7 years?

STatiana [176]

$\bf ~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$1400\\ r=rate\to 4.3\%\to \frac{4.3}{100}\dotfill &0.043\\ t=years\dotfill &7 \end{cases} \\\\\\ A=1400e^{0.043\cdot 7}\implies A=1400e^{0.301}\implies A\approx 1891.69\implies \stackrel{\textit{rounded up}}{A=1892}$

3 0

3 years ago