Answer:
The positive angle between [tex]0[/tex] and [tex]2\pi[/tex] radians that is coterminal with [tex]\theta = -\frac{3\pi}{2}\,rad[/tex] is [tex]\theta = \frac{\pi}{2}\,rad[/tex].
Step-by-step explanation:
GIven that the measure of the known angle is [tex]-\frac{3\pi}{2}[/tex] radians and that such angle belongs to a set of angles in terms of revolutions (with a period of [tex]2\pi[/tex]) done either clockwise or counterclockwise, we can represent the family of coterminal angles with the following expression:
[tex]\theta = -\frac{3\pi}{2}\pm (2\pi\cdot i)[/tex], for [tex]i \in \mathbb{N}_{O}[/tex] (1)
Where [tex]i[/tex] is the index of the coterminal angle.
According to the statement, we must name a positive angle between [tex]0[/tex] and [tex]2\pi[/tex] radians, which can be found by the sign [tex]+[/tex] and [tex]i = 1[/tex]. Hence, we find the required angle:
[tex]\theta = -\frac{3\pi}{2} + 2\pi[/tex]
[tex]\theta = \frac{\pi}{2}\,rad[/tex]
The positive angle between [tex]0[/tex] and [tex]2\pi[/tex] radians that is coterminal with [tex]\theta = -\frac{3\pi}{2}\,rad[/tex] is [tex]\theta = \frac{\pi}{2}\,rad[/tex].
what is the answer
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In 2 hours, the train will cover 120 miles, in 4 hours, the train will cover 240 miles. The train covered 120 more miles in 4 hours than it did in 2 hours.
What is the value of h(−3) when h(x)= 6x2 − 2x + 12?
72
342
48
−36
−306
Step-by-step explanation:
h(-3)=6×2 - 2(-3) + 12
12+6+12
=30
Please help me with this
Jeff has a regular account, a money market account, and several CDs at the bank. He has $600 extra from overtime this
month but knows he will make several withdrawals over the next three weeks. Into which account should he deposit his
extra $6002
Answer:
Regular Checking account
Step-by-step explanation:
You can only make 3 withdrawals from money markets per month. You can’t withdraw money from cds without penalty.
Write each ratio in simplest terms.
a) There were 10 pizzas for 15 people.
c) There are 20 quarters in $5.00.
e) There were 12 doughnuts for 6 people.
g) There are 40 dimes in $4.00.
i) There are 600 s in 10 min.
b) There are 72 h in 3 days.
d) At the banquet 40 people sat at 5 tables.
f) There are 60 girls for every 80 boys.
h) There are 500 cm in 5 m.
j) There are 60 nickels in $3.00.
a) 2:3
c) 4:1
e) 2:1
g) 10:1
i) 60:1
b) 24: 1
d) 8:1
f) 3:4
h) 100:1
j) 20:1
Step-by-step explanation:
a) 10:15 then divide each by 5 bc its a common denominator
c) 20:5 then divide each by 5 bc its a common denominator
e) 12:6 then divide each by 6 bc its a common denominator
g) 40:4 then divide each by 4 bc its a common denominator
i) 600:10 then divide each by 10 bc its a common denominator
b) 72:3 then divide each by 3 bc its a common denominator
d) 40:5 then divide each by 5 bc its a common denominator
f) 60:80 then divide each by 20 bc its a common denominator
h) 500:5 then divide each by 5 bc its a common denominator
j) 60:3 then divide each by 3 bc its a common denominator
Simplify the expression below as much as possible.
(7-6i) + (-1 + 4i) -(4-7i)
A. 10 + 5i
B. 2 - 9i
C. 10-9i
D. 2 +5i
please i need help with the answers this is due later on today
Answer:
384, 216, 290, 192, 384
1446, 1 roll
Step-by-step explanation:
For rectangular boxes, calculate the sum of each side, then multiply it by two.
Box 1: 2(18 x 5) + 2(18 x 4) + 2(5 x 4) = 364
Box 3: 2(11 x 8) + 2(8 x 3) + 2(3 x 11) = 290
Box 5 is a cube (all sides equal), so you can find 1 side's area and multiply it by 6.
Box 5: 6(8 x 8) = 384
For triangular boxes, calculate the edges, then find the triangular area using area = 0.5(base x height).
Box 2: (15 x 3) + (9 x 3) + (12 x 3) + 2(0.5)(9 x 12) = 216
Box 4: 2(13 x 2) + (10 x 2) + 2(0.5)(10 x 12) = 192
Total: 364 + 290 + 384 + 216 + 192 = 1446
Rolls of wrapping paper:
Area of 1 roll = 30 x 60 = 1800
Since 1446 is less than 1800, you only need 1 roll of wrapping paper.
i need help plzzzzzzzzzzzzzzzzzz what is 1/3(250)25.4=??????
Answer:
2116.6_
Step-by-step explanation:
compare and contrast the data represented in the double box plot below
Answer:
and wheres the box plot?
joey invests 500 at 5% simple interest how much interest will he earn in 2 years?
Explain how to factor the following:
16x^2 – 40x – 24
Answer: (x-3)(2x+1)(8)
Step-by-step explanation: First factor out the 8 to get (8)(2x^2-5x-3). So now we have what number multiply out to -6 (ab) and add up to -5. -2 and -3 work out so we manipulate the equation like (8)(2x²-2x-3x-3). Factor out 2x in the first term and -3 in the second and keep going.
What does the slope of the equation represent?
Answer:
[tex]m=-\frac{1}{2}[/tex]
Step-by-step explanation:
In the equation
[tex]y=mx + b[/tex]
m is a slope,
Solve the problem.
The locations, given in polar coordinates, of two ships are (7 mi, 44°) and (8 mi, 104°). Find the
distance between the two ships.
A=3601 mi
B=10.63 mi
C=7.55 mi
D=4.00 mi
Question 9 of 10
A density curve for all the possible ages between 0 years and 25 years is in
the shape of a triangle. What is the height of the triangle?
O A. 0.08
OB. 0.02
O C. 0.04
D. 0.16
Alexis is trying to run a certain number of miles by the end of the month. If Alexis is 40% of the way to achieving her goal and she has already run 12 miles, how many miles is she trying to run by the end of the month?
Edward took a survey of his classmates to see how many pets each student has. The dot plot shows the results of his survey ll. 0 1 2 3 4 Number of Pets Part A How many people did Edward survey? Part B What is the mean number of pets?
Answer:
i. 5 people
ii. Mean number of pets = 2
Step-by-step explanation:
i. From the information given in the question, the number of people surveyed by Edward is 5.
The first person has no pet, the second has 1 pet, the third has 2 pets, the fourth has 3 pets and the fifth has 4 pets.
ii. The mean number of pets is the average number of pets among the people.
The mean number of pets = [tex]\frac{sum of the number of pets}{number of people}[/tex]
= [tex]\frac{0 + 1 + 2 + 3 + 4}{5}[/tex]
= [tex]\frac{10}{5}[/tex]
mean number of pets = 2
The mean number of pets is 2.
What is 5 to the 6 power divided by 3794.3?
Answer:
4.11801913396
Step-by-step explanation:
Heart me pls
to find 12÷ 3/5 we rewrite 12 as PLEASE HELP
Answer:
The twelve can be rewritten as: n = 3 5 × 12 1. Now, we can multiply the numerators and denominators: n = 3 ×12 5 × 1. n = 36 5.
Step-by-step explanation:
What are the values for X-ray satisfy the equation
X^2 - 5(x) - 14 = 0
A. -2 and 9
B. -2 and -9
C. 2
D. 2 and -7
E. -2 and 7
Answer:
It's D
Step-by-step explanation:
you just look at the end it's says -14. u have to see what numbers should multiply in order to get negative 14, you can use -2 and 7, or -7 and 2, but you have to see what numbers from the -14 will add up -5 because u have five in there, therfore -7+2 equals -5.* This only happens if you have 1 behind the x^2.
true or false dialations of an angle are congruent to the original angle
Answer: True
Step-by-step explanation: Dilations do not change the angle measure. All line segments are changed by the same factor, therefore the angle remains the same.
What are some numerical expressions for 9 times x?
Answer:
9x
9 • x
9(x)
9*x
I think that's what the question means?
Which number is equivalent to 2 ^6
Answer:
64
Step-by-step explanation:
2×2×2×2×2×2=64
that's it
Answer:
64
Step-by-step explanation:
2×2×2×2×2×2= 64 just multiply or use calculator.
A science club chose to test the pH balance of different foods. They measured the pH balance of 7 different foods and arranged their data from least to greatest. The pH balances were 2, 3, 4, 5, 6, 7, and 8. The mean pH balance of the foods measured was 5.
What is the MAD (mean absolute deviation) rounded to the nearest tenth?
0.7
1.7
2.4
2.0
Answer:
2.4 hope this helps u...
can you help me with this please
Answer:
part a is a and c
part b is sine
Step-by-step explanation:
I hope this helped :)
11. What is the volume of the composite solid? (Hint: The height of the cone is 42 ft.)
12. A cylindrical can of cat food has a diameter of 3.5 inches and a height of 1.25 inches. A second brand of
cat food is packaged in a cylindrical can with a radius of 1.2 inches and a height of 1.25 inches.
a) What is the volume of the first can of cat food? Show your work
b) What is the volume of the second brand of cat food? Show your work
c) What is the difference between the volumes of the cans?
Extra credit: Two cylinders have equal diameters. Are their volumes also equal? Is the same true for cones and
spheres? Explain your reasoning
Answer:
c
Step-by-step explanation:
SOMEONE PLEASE HELP ME !! THANK YOU
answer has to be in simplest radical form!
find v
If you are given the hypotenuse and an adjacent
side, which trig function should you use?
Answer:
cosine
Step-by-step explanation:
Answer:
cosine
Step-by-step explanation:
cosine = adjacent / hypotenuse
When you type in your answer do not include x=, just include the number
Answer:
5
Step-by-step explanation:
60÷6 is 10
54÷6 is 9
30÷6 is 5
?????? Cos ?? I don’t know the difference between cos and tan fully yet , but ASAP help here
The answer is M
Step-by-step explanation:
Cosine: this is the length of the side right next to the angle divided by the longest side/ hypotenuse.
Tan: this is the length of the side opposite of the angle divided by the side directly adjacent/ next to the angle.
In this case, cosine would be 6/10 which Is also 3/5. the angle right next to 6 is Angle M
Here is a list of numbers:
-5, -15, -10, 5, 14, 5, -18, 11, -4
State the median.
Answer:
4
Step-by-step explanation:
-18, -15, -10, -5, 4, 5, 5, 11, 14
There are 9 terms. So the one in the middle is the median.
-18, -15, -10, -5, 4, 5, 5, 11, 14
1 2 3 4 5 6 7 8 9
So 4 is the median.
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hope it helps