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3 years ago

If four of the exterior angles of a convex pentagon measure

Mathematics

2 answers:

Kitty [74]3 years ago

6 0

Answer:

120°

Step-by-step explanation:

all exterior angles of any polygon add up to 360 therefore 4 x 60 = 240

360 - 240 = 120

MakcuM [25]3 years ago

3 0

Answer:

120 degrees.

Step-by-step explanation:

The 5 exterior angles sum to 360 degrees.

So the 5th exterior angle = 360 - 4(60)

= 360 - 240

= 120 degrees.

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Felicia drew a triangle with side lengths that measured 15 cm, 18 cm and 27 cm. To determine if Felicia drew a right triangle, s

Charra [1.4K]

Answer:

The equation should be h²=P²+b²

27²=15²+18²

729=225+324

729=549

thus, it is not right angle triangle

3 0

3 years ago

Evaluate the integral. (remember to use absolute values where appropriate. Use c for the constant of integration.) 5 cot5(θ) sin

ozzi

$I=5\int \frac{cos^{4}\theta }{sin\theta }\times cos\theta d\theta \\\\I=5\int \left ( 1-sin^{2}\theta \right )^{2}\times \frac{cos\theta }{sin\theta }d\theta \\put\ \sin\theta =t\\\\dt=cos\theta d\theta \\\\I=5\int\frac{t^{4}+1-2t^{2}}{t}dt\ \ \ \ \ \ \ \ \ \ \because (a-b)^2=a^2+b^2-2ab\\\\I=5\left ( \int t^{3}dt + \int \frac{1}{t} -2\int t \right )dt$

by using the integration formula

we get,

$\\I=5\left ( \frac{t^{4}}{4} +logt -t^{2}\right )\\\\I=\frac{5}{4}t^{4}+5\log t-5t^{2}+c$

now put the value of t=\sin\theta in the above equation

we get,

$\int 5\cot^5\theta \sin^4\theta d\theta=\frac{5}{4}sin^{4}\theta+5\log \sin\theta - 5sin^{2} \theta+c$

hence proved

7 0

3 years ago

Mary applies for a loan with a 7.9% interest rate.

Arisa [49]

Answer:

0.079

Step-by-step explanation:

7.9% written as a decimal is 0.079.

3 0

3 years ago

-5 -4 -3 -2 -1 0 1 2 3 4 u

bazaltina [42]

Answer:

Step-by-step explanation:

Can you rephrase the question.

5 0

3 years ago

What is the surface area of the rectangular prism below?

seropon [69]

Answer:

Step-by-step explanation:

multiply 9 by 12 to get the surface area of the end of the rectangle.

you should get 108.

multiply 12 by 9 to get the surface area of the side.

you should get 135.

multiply 12 by 15 to get the surface area of the bottom.

you should get 180.

then add all your answers and multiply by 2 this will give you the total surface area and you will find that the answer is A.

3 0

3 years ago