I have so many points help me

The exterior angles of an octagon are 42°, 55°, 39°, 20°, 62°, 45°, and 47°. What is the measure of the eighth exterior angle? S

VikaD [51]

Answer:

the 8th exterior angle is 49 degrees

Step-by-step explanation:

The sum of the exterior angles of an octagon is 360 degrees

(this is true for all polygons)

42°+55°+ 39°+ 20°+ 62°+45°,+ 47+x = 360

combine like terms

311+x=360

subtract 311 from each side

311-311 +x = 360-311

x=49

4 0

3 years ago

After a 15% increase, a town has 115 people. What was the population before the increase?

Arte-miy333 [17]

Answer:

100 people

Step-by-step explanation:

Population Of People=115Percentagencrease=15%

The New Population corresponds to 115%

(That is 100+15)

We want to find the population that corresponds to 100% that is the original population.

Therefore Original Population;

 $\frac{100}{115}\times {115}{}$ 

 $100 \: people$ 

7 0

3 years ago

Describe the geometrical transformation and write the approximate value with working

lianna [129]

Answer:

$\boxed{\text{a) Translation 5 units up; b)}\approx 110}\\$

Step-by-step explanation:

a) Mapping the graphs

Mapping one graph (A) onto another (B) means that each vertical line through a point in A intersects the graph of the B at only one point.

In the diagram, the graph of ƒ(x) = √(x² + 9) is the blue line and the graph of g(x) = 5 + √(x² + 9) is in green.

Each vertical line through ƒ(x) intersects g(x) in only one point.

For example, a vertical line from (4, 0) intersects ƒ(x) at (4, 5) and g(x)

at (4, 10).

Every point in g(x) is five units higher than the corresponding point in ƒ(x).

Thus, mapping ƒ(x) onto g(x) is a translation of five units upward.

b) Integration

$\int_{2}^{11}{(\sqrt{x^{2}+9}})dx\approx 65\\$

$\int_{2}^{11}{(5 + \sqrt{x^{2}+9})}dx \approx [5x]_2^{11}+65\\$

$\approx (55 - 10) + 65 \approx 45 + 65\\$

$\boxed{\approx 110}\\$

5 0

3 years ago

What is the slope and y-intercept of –2x + 4y = 16 please show work!!

Lilit [14]

Answer:

1/2

Step-by-step explanation:

Okay so the find slope you have the put the line in y-mx+b form. In -2x+4y=16 to get 'y' by its slef you have to add 2y to each side. 4y=16+2x then you have to divide by 4 to get y alone. y=4+1/2x

Your slope is 1/2

3 0

3 years ago

Can i get some help doing this plz

KATRIN_1 [288]

Answer:

The upper bound for the perimeter of the rectangle = 427.76 cm

Step-by-step explanation:

To obtain the upper bound for the perimeter, we need to first obtain the upper bound for the Length and Breadth of the rectangle.

Since, these dimensions were rounded to the nearest 1 decimal place, we can write down their ranges

Length = 127.3 cm

Width = 86.5 cm

Length can range from 127.25 cm to 127.34 cm

Breadth can range from 86.45 cm to 86.54 cm

The upper bound for the Length and Breadth of the rectangle are this 127.34 cm and 86.54 cm respectively.

Perimeter = 2 (L + B)

Upper bound of the perimeter

= 2 × (127.34 + 86.54)

= 2 × 213.88

= 427.76 cm

Hope this Helps!!!

5 0

3 years ago