Answer:
- csc60°
Step-by-step explanation:
240° is in the third quadrant where csc < 0 , thus
csc240° = - csc(240 - 180)° = - csc60°
The expression for cosec 240° in terms of the cosecant of a positive acute angle is -cosec 60°.
What is the value of cosec (180°+α)?The value of cosec (180°+α) is -cosec α because (180°+α) lies in the third quadrant and in the third quadrant cosecant is negative.
So, cosec 240° = cosec (180°+60°)
cosec (180°+α) = -cosec α
So, cosec (180°+60°) = -cosec 60°
Thus, the expression for cosec 240° in terms of the cosecant of a positive acute angle is -cosec 60°.
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Rewrite the equation by completing the square.
x^2-6x-16=0
Answer:
(x - 8)(x + 2) = 0
Step-by-step explanation:
To rewrite the equation, we need to factor:
x² - 6x - 16 = 0
(x - 8)(x + 2) = 0
What is the next step in solving the equation 10x+5 = -4x+47 for x after we have combined x variables to one side of the equation?
a. Once x variables have been combined we need to combine non-x variables by moving them to the other side of the equal sign.
b. Once x variables have been combined we need to divide the remaining numbers by our new x variable from combining it in step 1.
c. Since we have combined the x variables together we have completed the necessary steps to solve the equation and have the answer.
d. The problem cannot be solved for x.
Answer: A) Once x variables have been combined we need to combine non-x variables by moving them to the other side of the equal sign
Does anyone know how to solve 3 by 3 linear systems?
In the system below, use equation (1) with equation (2) to eliminate x. Then use equation (1) with equation (3) to eliminate x.
x-y-2z=4 (1)
-x+3y-z=8 (2)
-2x-y-4z=-1 (3)
Answer:
x = 3, y = 3, z = - 2
Step-by-step explanation:
Given the 3 equations
x - y - 2z = 4 → (1)
- x + 3y - z = 8 → (2)
- 2x - y - 4z = - 1 → (3)
Add (1) and (2) term by term to eliminate x
2y - 3z = 12 → (4)
Multiply (1) by 2 and add to (3) to eliminate x
2x - 2y - 4z = 8 → (5)
Add (3) and (5) term by term to eliminate x
- 3y - 8z = 7 → (6)
Multiply (4) by 3 and (6) by 2
6y - 9z = 36 → (7)
- 6y - 16z = 14 → (8)
Add (7) and (8) term by term to eliminate y
- 25z = 50 ( divide both sides by - 25 )
z = - 2
Substitute z = - 2 into (7)
6y + 18 = 36 ( subtract 18 from both sides )
6y = 18 ( divide both sides by 6 )
y = 3
Substitute y = 3 and z = - 2 into (1)
x - 3 + 4 = 4
x + 1 = 4 ( subtract 1 from both sides )
x = 3
Solution is x = 3, y = 3, z = - 2
list 1/6, -4, sq root of 8, 4.3 from least to greatest 
Answer:
-4, 1/6, sq rt 8, 4.3
Step-by-step explanation:
1/6=.167
sq rt8= 2.82
Sara is selling tickets to a high school festival. She sold 10 less senior tickets than junior tickets and she sold 3 times as many sophomore tickets as junior tickets (no freshman allowed). Senior tickets cost $3, junior tickets cost $5 and sophomore tickets cost $7. Sara raised $782. Write an equation to model the situation so that we can find the amount of tickets sold to seniors, juniors, and sophomores.
Answer:
[tex]29x-30=782[/tex] where x denotes number of junior tickets.
Step-by-step explanation:
Let x denotes number of junior tickets.
Sara sold 10 less senior tickets than junior tickets.
Number of senior tickets [tex]=x-10[/tex]
Sara sold 3 times as many sophomore tickets as junior tickets.
Number of sophomore tickets [tex]=3x[/tex]
Senior tickets cost $3, junior tickets cost $5 and sophomore tickets cost $7.
Total amount raised by Sara [tex]=5x+3(x-10)+7(3x)=5x+3x-30+21x=29x-30[/tex]
Sara raised $782.
So,
[tex]29x-30=782[/tex]
3)
Find x and y
Helpppp please
Answer:
x = 20
y = 25
Step-by-step explanation:
Vertical angles are always congruent, that is a theorem.
Set the vertical pairs equal to each other.
182 - 4x = 5x + 2
The lowest of the two coefficients is 4x, so that will be added to both sides.
4x + 5x = 9x
Simplify
9x + 2 = 182
Subtract both sides by 2
9x = 180
Divide by 9
180/9 = 20
x = 20
Plug in the 20 to get the angle measure.
182 - 80 = 102
the vertical pairs are 102 degrees
There is another theorem that sets the two angles outside as congruent.
So set 4y + 2 = 102
Subtract 2
100
Divide 4, which equals 25
y = 25
In the following problem, which step uses the additive identity to get to the next step?
-18 + 73 + 18
-18 + 18 + 73
0 + 73
73
g(x)=8x+2
g( ) = -62
Answer:
-8
Step-by-step explanation:
Ramina found the length of two pieces of ribbon to be 47.6 inches and 39.75 inches. Which is an effective estimation strategy for finding the sum of the two lengths? Round 39.75 to 30 and 47.6 to 40, then add. Round 39.75 to 40 and 47.6 to 48, then add. Add 47.6 and 39.75, then round the answer. Subtract 39.75 from 47.6, then round the answer.
Answer:
Add 47.6 and 39.75, then round the answerStep-by-step explanation:
If Ramina found the length of two pieces of ribbon to be 47.6 inches and 39.75 inches, the effective strategy of finding the sum of the two lengths is to:
1) First is to add the two values together
47.6 + 39.75
= (47+0.6)+(39+0.75)
= (47+39)+(0.6+0.75)
= 86 + 1.35
= 87.35
2) Round up the answer to nearest whole number.
87.35 ≈ 87 (note that we couldn't round up to 88 because the values after the decimal point wasn't up to 5)
Option C is correct
Answer:
B. Round 39.75 to 40 and 47.6 to 48, then add.
Step-by-step explanation:
Segment addition, step by step on how u figure it out.
Answer:
Step-by-step explanation:
2x - 8 + x + 17 = 39
3x + 9 = 39
3x = 30
x = 10
2(10) - 8 = 20 - 8= 12 m for AB
10 + 17 = 27 m for BC
In rhombus ABCD, diagonals AC and BD intersect at point E. If AE = 5cm and BE = 12 cm, what is the length of AC?
a-24 cm
b-17cm
c-7 cm
d-10 cm
Answer:
Length of AC is 10 cm
Step-by-step explanation:
Here , we are interested in calculating the length of the diagonal AC.
Please check attachment for the pictorial representation;
From the diagram, we can see that the length
AC = AE + EC
Also, the length AE = EC
So the value of AC = 5cm + 5cm = 10 cm
2(3d – 4) + 2 < 4 + 6d - 15
Answer: no solution
Step-by-step explanation:
Hurry please! A 3-inch by 5-inch picture was proportionally enlarged as shown. What is the length of the unmeasured side?
Answer:
it's going to be 15.
Step-by-step explanation:
It is 15 because 3 was enlarged into 9, which means it was enlarged x3. Since the sides were porportionally enlarged, 5 should also be times 3. 5 times 3 equals 15.
Please help meeeeeeeeeee
Answer:
-3, 25, 53
Step-by-step explanation:
f(x) = 4x + 9
f(-3) = 4(-3) + 9
f(-3) = -12 + 9
f(-3) = -3
f(4) = 4(4) + 9
f(4) = 16 + 9
f(4) = 25
f(11) = 4(11) + 9
f(11) = 44 + 9
f(11) = 53
Answer:
-3, 25, 53.
Step-by-step explanation:
The dimensions of a cuboid are in the ratio of 1:2:3 and its total surface area is
8 square meter
. Find
the dimensions.
Answer:
gfffdf
Step-by-step explanation:
A car is traveling at a constant speed. It travels 31/2 miles in 51/4 minutes. How many minutes will it take the car to travel 70 miles?
I need to knoww tooooooo
Answer:105
Step-by-step explanation:
Jasmine had 13 after buying six notebooks.
How much did she start with?
Answer:
7
Step-by-step explanation:
6 + 7 = 13
How do I simplify expressions? (e.g. 8y+6(3y+7)
Answer:
26y + 42
Step-by-step explanation:
Using your example, you would break down the equation into the simplest form by combining like terms.
8y + 6(3y + 7) ← multiple what's in parenthesis by 6
8y + 18y + 42 ← Combine like terms
26y + 42
Pick < ,< or = to make the statement true. 11 ..... 52/9
Answer:
11>52/9
Step-by-step explanation:
52/9 = 5.7777....
11> 5.77777....
1
2
3
A
5/6
1/8
9 0
11 12
13/14
15
16
In the figure, plly and "||s. Match each pair of congruent angles with the reason for their congruency.
corresponding angles for
parallel lines p and q cut by
the transversalr
corresponding angles for
parallel lines r and s cut by
the transversal a
Vertical Angles Theorem
Linear Pair Theorem
25 213
2125
210 214
213 = 216
corresponding angles for
parallel lines p and q cut by
the transversal s
Answer:
what grade is this jeez
Step-by-step explanation:
idk
find three consecutive numbers such that three times the first number is equal to 9 more than the sum of the other two.
Answer:
12, 13, 14
Step-by-step explanation:
Three consecutive numbers means three numbers in a row, so if n is the first number, the second number is one more than n (which is n+1) and the third number is one more than that (which is n+2)
So three times (3 x) the first number (n) is equal to (=) nine more than (9 +) the sum of the other two ( (n+1) + (n+2) )
3 times n can be written as 3n
So 3n = 9 + (n+1) + (n+2)
3n = 9 + n + 1 + n + 2
3n = 9 + 1 + 2 + n + n
3n = 12 + 2n
Subtract 2n from each side
3n - 2n = 12 + 2n - 2n
1n = 12
n = 12
So the first number is 12, the second number is 12 + 1 (13) and the third number is 12 + 2 (14)
The numbers are 12, 13, 14
Hope this helps :)
Use the distance formula to find the distance between points Y(-1,0) and P(2,6).
Answer:
6.7
Step-by-step explanation:
If (8^2)^p=8^4, what is the value of p?
A) 2
B) 3
C) 4
D) 6
Answer:
A. 2
Step-by-step explanation:
8^4 = 4096
(8^2)^2 = 4096
How are mountains and plateaus alike?
Answer:
It is similar to a mountain in that it is dramatically higher than what is immediately around it. But mountains usually have a distinct apex or peak that is very small relative to the base and not typically level. Plateaus and mesas have tops only a little smaller than the base, and relatively flat. If the aspect ratio is less than 1, plateau. If greater than 1, mesa.
Step-by-step explanation:
What is the difference between a linear function and a nonlinear function? Explain what each looks like when represented as a table and as a graph.
Answer:
Sample Answer: A linear function has a constant rate of change, while a nonlinear function does not. For a table of values to be linear, the outputs must have a constant rate of change as the inputs increase by 1. On a graph, the function must be a straight line to be linear.
Answer:
On a graph, it is easy to remember whether a function is linear or nonlinear. Nonlinear means the graph is not a straight line. The graph of a nonlinear function is a curved line. If it is straight, then it is linear. On a table, you can determine whether a function, in tabular form, is nonlinear by observing that the jump in y varies for each unit of change in x.
Step-by-step explanation:
This is NOT the sample response. Please do not use the sample response as it is not the actual answer and teachers may find out you are not using your own responses.
Please hellppskskdkkdf
Flight 202’s arrival time is normally distributed with a mean arrival time of 4:30 p.m. and a standard deviation of 15 minutes. Find the probability that a randomly chosen arrival time is within the given time period.
6. After 4:45 p.m
7. between 4:15 p.m. and 5:00 p.m.
8. between 3:45 p.m. and 4:30 p.m
9. by 4:45 p.m
2+2 ajjdbnmsfnksfnbdnsdbcs,mdv bn,zdb xzvndzsmbznx,vsdanvbf
Answer:
I belive the answer would be 4ajjdbnmsfnksfnbdnsdbcs,mdv bn,zdb xzvndzsmbznx,vsdanvbf. : ) ahaha
Question 8
Identify the hypothesis and conclusion of each conditional statement.
If you take a class in television broadcasting, then you will film a sporting event.
Your answer:
H: If you take a class in television broadcasting, then you will film a sporting event.
C: true
H: If you take a class in television broadcasting, then you will film a sporting event.
C: false
H: you take a class in television broadcasting
C: you will film a sporting event
H: you will film a sporting event:
C: you take a class in television broadcasting
Clear answer
Back
Next
Answer:
third choice of those listed here
Step-by-step explanation:
Match the given statement to the pattern:
if H, then C.
__
If you take a class in television broadcasting, then you will film a sporting event
You should be able to see ...
H: you take a class in television broadcasting
C: you will film a sporting event
If M = {Prime integers between 1 and 11} and N = { factors of 12}. Find:
The members of M
The members of N
M∪N;
M∩N.
Please show working
Step-by-step explanation:
members of "M" = 2,3,5,7,11
members of "N" = 1,2,3,4,6,12
M∪N = 1,2,3,4,5,6,7,11,12
M∩N = 2,3
intersection is the overlapping numbers in the sets
union is the set with all the numbers but they cannot be duplicates
The members of "M" [tex]=[/tex] [tex]2,3,5,7,11[/tex]
The members of "N" [tex]= 1,2,3,4,6,12[/tex]
M∪N [tex]= 1,2,3,4,5,6,7,11,12[/tex]
M∩N [tex]= 2,3[/tex]
What is Prime number ?
A prime number is a natural number greater than 1 that is not a product of two smaller natural numbers. A natural number greater than 1 that is not prime is called a composite number.
According to questions, M = {Prime integers between [tex]1[/tex] and [tex]11[/tex]}
and N = { factors of [tex]12[/tex]}.
We have to find the members of M, the members of N, M∪N and M∩N.
M = {Prime integers between [tex]1[/tex] and [tex]11[/tex]} [tex]=[/tex][tex]2,3,5,7,11[/tex]
N = { factors of [tex]12[/tex]} [tex]= 1,2,3,4,6,12[/tex]
So, M∪N [tex]= 1,2,3,4,5,6,7,11,12[/tex]
and M∩N [tex]= 2,3[/tex]
Hence, we can conclude that
The members of "M" [tex]=[/tex] [tex]2,3,5,7,11[/tex]
The members of "N" [tex]= 1,2,3,4,6,12[/tex]
M∪N [tex]= 1,2,3,4,5,6,7,11,12[/tex]
M∩N [tex]= 2,3[/tex]
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