All categories

2 years ago

A regular octagon has an apothem of 16.9 cm and a side length of 14 cm. Find the area to the nearest tenth.

Mathematics

1 answer:

jolli1 [7]2 years ago

8 0

Answer:

946.4 cm

Step-by-step explanation:

Formula for finding the area of any polygon :

number of sides (n) x 0.5 x length of sides (s) x apothem (a)

Area = 8 x 0.5 x 14 x 16.9 = 946.4

hope this helps ! :)

You might be interested in

Find the value of z.

Oliga [24]

Answer:

$60 \: degrees$

Step-by-step explanation:

$180(n - 2)$

you have to put the number of sides for n

$180(n - 2) \\ 180(6 - 2) \\ 180 \times 4 \\ = 720$

720 is the sum of interior angles. so to find the value of an angle you have to divide 720 by the number of angles.

$\frac{720}{6} = 120 \: \: degrees$

we know that,

interior angle + exterior angle = 180 degrees

$120 + z = 180 \\ z = 180 - 120 \\ z = 60 \: \: degrees$

hope this helps

brainliest appreciated

good luck! have a nice day!

4 0

3 years ago

Annabelle the ant and Archibald the ant are on a large coordinate grid. Annabelle is at (3,4) and Archibald is at (33,44). If bo

kvasek [131]

Part a) If both ants skate directly towards each other, starting at the same time and skating the same speed, what will be the coordinates of their meeting place?

Let

A(3,4) B(33.44)

we know that

If both ants skate directly towards each other, starting at the same time and skating the same speed

then

the coordinates of their meeting place is the midpoint AB

Find the midpoint AB

in the x-coordinate

(3+33)/2=18

in the y-coordinate

(4+44)/2=24

the midpoint AB is (18,24)

therefore

the answer Part a) is

the coordinates of their meeting place is (18,24)

Part b) How far will each ant skate?

Find the distance AB

$d=\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}$

substitute the values

$dAB=\sqrt{(33-3)^{2}+(44-4)^{2}}$

$dAB=\sqrt{2,500}$ units

$dAB=50$ units

Find the half distance AB

50/2=25 units

therefore

the answer part b) is

Each ant will skate 25 units

7 0

3 years ago

What is the inequality for 5(x+3)−8<17

butalik [34]

Answer:

x< 2

Step-by-step explanation:

We are given the inequality;

5(x+3)−8<17

First we take 8 to the other side;

5(x+3)<17 + 8, notice the sign changes like with an equation

Opening the brackets;

5x + 15 < 25

We then take 15 to the other side;

5x < 25 -15

5x < 10

x < 2

Thus, the solution of the inequality is x< 2

8 0

3 years ago

The area of the sector formed by the 110 degree central angle is 50 units squared. What is the circumference of the circle

Mama L [17]

Answer:

The circumference of the circle is $C=45.346 \:units$ .

Step-by-step explanation:

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.

The area of a circle is given by $A_{circle}=\pi r^2$

The formula used to calculate the area of a sector of a circle is:

$A_{sector}=\frac{central \:angle}{360} \cdot {Area \:of \:whole \:circle}\\\\A_{sector}=\frac{\theta}{360} \cdot \pi r^2$

The circumference of a circle is the distance around the outside of the circle and its given by

$C=2\pi r$

We know the central angle $\theta$ = 110º and the area of the sector 50 units squared.

First, we use the formula to calculate the area of a sector to find the radius.

$50=\frac{110}{360} \cdot \pi r^2\\\\\frac{110}{360}\pi r^2=50\\\\\frac{11\pi }{36}r^2=50\\\\11\pi r^2=1800\\\\r^2=\frac{1800}{11\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{1800}{11\pi }},\:r=-\sqrt{\frac{1800}{11\pi }}$