MATHEMATICS MIDDLE SCHOOL

The average of the degree measures of all angles of an octagon is less than the average of the degree measures of all angles of the decagon by what percent

Answers

Answer 1
Answer:

Octagon - 135 degrees

Decagon - 144 degrees


135 / 144 * 100% = 93.75%


Therefore it is 6.25% less


source 1728.com/polygon.htm

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Z=sqrt 2[cos(-pi/4)+isin(-pi/4)]=a+bi what is a and b?

Answers

Answer:

\boxed{\boxed{a=1,b=-1}}

Step-by-step explanation:

The given expression is,

z=√(2)\left[\cos(-(\pi)/(4))+i\sin (-(\pi)/(4))\right]

According to Distributive property,

=√(2)\cos(-(\pi)/(4))+i√(2)\sin (-(\pi)/(4))

we know that,

\cos(-(\pi)/(4))=\cos((\pi)/(4))=(1)/(\sqrt2)

and

\sin(-(\pi)/(4))=-\sin((\pi)/(4))=-(1)/(\sqrt2)

Putting these,

=√(2)\cdot (1)/(\sqrt2)-i√(2)\cdot (1)/(\sqrt2)

=1-i\cdot 1

=1-i

Comparing this to a+bi, we get

a=1,b=-1

Answer: a=1, b=-1

Step-by-step explanation: I got this right on Edmentum

The diameter of a circle is 10 cm what is the angle measure of an arc Pi centimeters long

Answers

we know that

[length of a circumference]=2*pi*r
diameter=10 cm
r=10/2-----> 5 cm
[length of a circumference]=2*pi*5-----> 10*pi cm

if 360° (full circle) has a length of -----------> 10*pi cm
 X°---------------------------> pi cm
X=pi*360/10*pi------> 36°

the answer is 36°

Is this correct the highlighted is the one i think.

Answers

so that is correct because we notice that the line passes through the points 5,-5 and -5,5
we notice that y is negative x so therefor D is the correct answer
IT IS! You are absolutely Right!
Now that (0,0) is the origin, it is also a point where the line lies. (-1, 1) is also a point where the line lies(in Quadrant II). And (1, -1) is the total opposite of (-1, 1).
It is in Quadrant IIII, but it is also on where the line lies

The theoretical probability that you wil tryout for the school play is 1/10 There is 22 students in your grade that try out for the school play. How many students are in your grade?

Answers

I am pretty sure that it is 220
So all I did is multiply 22x10

Final answer:

To determine the total number of students in your grade, use the equation (1/10)x = 22 and solve for x by multiplying both sides of the equation by 10.

Explanation:

To find out how many students are in your grade, you can set up an equation using the theoretical probability and the number of students who tried out for the school play. The equation can be written as: (1/10)x = 22, where x represents the total number of students in your grade. To solve for x, you can multiply both sides of the equation by 10 to get rid of the fraction. This gives you x = 220, so there are 220 students in your grade.

Learn more about Number of students in a grade here:

brainly.com/question/34618338

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On a scale drawing of a classroom, 1 inch equals 6 feet. The actual dimensions of the classroom are 22 feet by 30 feet. What are the dimensions of the room in the scale drawing

Answers

Given: 
scale 1 inch = 6 feet
actual dimensions 22 feet by 30 feet

22 feet / 6 feet = 3 2/3 inches
30 feet / 6 feet = 5 inches

the dimension of the room in the scale drawing is: 3 2/3 inches by 5 inches.

A motorist traveled 311 miles on 12 gallons of gas. To the nearest tenth, how many miles can the motorist travel on one gallon of gas?

Answers

The motorist can travel 25.92 miles on one gallon of gas
On one gallon of gas a motorist can travel 25.92 miles

i hope this helps
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