Answer:
[tex]\cos(\frac25\pi) = \frac14(\sqrt5-1) \approx 0.3090[/tex]
[tex]\sin(\frac25\pi) = \sqrt{\frac58 + \frac{\sqrt5}{8}} \approx 0.9511[/tex]
[tex]\cos(2\pi) = 1[/tex]
The value of [tex]\frac{2\pi }{5}[/tex] radians corresponds to an angle of 180/5 = 72 degrees.
2 3 8 63 what number is next
Answer:
The answer is 3968
63 squared= 3969
3969-1 = 3968
Henry has quarters, dimes, nickels and pennies in a coin jar. He says that the total amount of money is two dollars and forty-one cents. He also claims that there are exactly twenty-three pennies. Let q be the number of quarters, d be the number of dimes, and n be the number of nickels. Which equation represents the relationship expressed above?
a. q + d + n = 23
b.q + d + n + 23 = 241
c. 25q + 10d + 5n + 23 = 2.41
d.25q + 10d + 5n + 23 = 241
Answer: D
Step-by-step explanation:
All would add up to 241 instead of 2.41 because you are not using decimals for the constants (Example: 25q not .25q)
Round the numbers to estimate the quotient.
29 1/5 ÷ 4 6/7
Nhich numbers should be used?
Answer:
≈ 5.8
Step-by-step explanation:
Step 1: Round the fractions
29 1/5 = 146/5 = 29.2 ≈ 29
4 6/7 = 34/7 = 4.85714 ≈ 5
Step 2: Divide
29/5 = 5.8
The answer is under
Juan did a survey in four butterfly parks and wrote the following observations: Butterfly Park Survey Park Number of Pink Butterflies Total Number of Butterflies P 25 53 Q 35 64 R 37 75 S 23 55 Based on the survey, which park had the greatest percentage of pink butterflies? Park P Park Q Park R Park S
Answer:
Park Q has greatest percentage of pink butterflies.
Step-by-step explanation:
Butterfly Park Survey Park P Q R S
No, of Pink Butterflies 25 35 37 23
Total Number of Butterflies 53 64 75 55
Now we are supposed to find which park had the greatest percentage of pink butterflies
So, Percentage of pink butterflies in park P =[tex]\frac{25}{53} \times 100=47.169\%[/tex]
Percentage of pink butterflies in park Q =[tex]\frac{35}{64} \times 100=54.68\%[/tex]
Percentage of pink butterflies in park R= [tex]\frac{37}{75} \times 100=49.33\%[/tex]
Percentage of pink butterflies in park S= [tex]\frac{23}{55} \times 100=41.81\%[/tex]
So, Park Q has greatest percentage of pink butterflies.
So, Option B is true
Hence Park Q has greatest percentage of pink butterflies.
Struggling!!! Math help plss!!!
Answer:
Step-by-step explanation:
Which function has the following characteristics? A vertical asymptote at x=-4 A horizontal asymptote at y=0 A removable discontinuity at x=1
Answer:
[tex]\frac{2x - 2}{x^2+3x-4}[/tex]
Step-by-step explanation:
In the figure attached, the question is shown. The function:
[tex]\frac{2x - 2}{x^2+3x-4}[/tex]
has a horizontal asymptote at y = 0 because the degree of the nominator polynomial is less than the degree of the denominator polynomial.
The roots of x² + 3x - 4 are -4 and 1
(-4)² + 3(-4) - 4 = 01² + 3(1) - 4 = 0Then, x² + 3x - 4 = (x + 4)(x - 1)
The function has a vertical asymptote at x = -4 because it is a root of the denominator polynomial.
The function can be simplified as follows:
[tex]\frac{2(x - 1)}{(x+4)(x-1)}[/tex]
[tex]\frac{2}{x+4}[/tex]
Then, it has a removable discontinuity at x = 1
Answer:
D
Step-by-step explanation:
Mary took out a loan to buy a $30,000 boat but had $2,000 cash to put down. Which of the following is true?
a. Mary decreased both assets and liabilities.
b. Mary increased both assets and liabilities.
C. Mary decreased assets and increased liabilities.
d. Mary increased assets and decreased liabilities.
Please select the best answer from the choices provided
A
B
С
D
Use addition to solve the linear system of equations. Include all of your work in your final answer. x-y=6 y=x-4
Answer:
no solutions
Step-by-step explanation:
x-y=6
y=x-4
Subtract x from each side
-x+y = x-4-x
-x+y = -4
Add this to the first equation
x-y=6
-x+y = -4
---------------
0x + 0y = 2
0=2
This is never true so there are no solutions
Answer:
No solutions.
Step-by-step explanation:
x - y = 6
y = x - 4
Solve for x in the first equation.
x = 6 + y
Put x as 6 + y in the second equation and solve.
y = (6 + y) - 4
y - y = 6 - 4
0 = -2
There are no solutions.
9 (y+2) -5 (y-6) = -4y -9 solve for y
[tex]
9y+18-5y+30=-4y-9 \\
8y+57=0 \\
y=-\frac{57}{8}=-7.125 \\
[/tex]
Hope this helps.
Answer:
[tex]y = -7 \frac{1}{8}[/tex]
Step-by-step explanation:
First off, Let's Simplify!
[tex]9y + 18 - 5y + 30 = -4y - 9[/tex]
Next, Let's Combine Like Terms!
[tex]9y - 5y + 18 + 30 = -4y - 9[/tex]
~~~~~~~~~~~~~~~~~~~~~~~
[tex]4y + 48 = -4y - 9[/tex]
Now, Let's Isolate the Variable!
[tex]8y + 48 = -9[/tex]
[tex]8y = -57[/tex]
Final Answer:
[tex]y = -7 \frac{1}{8}[/tex]
Hope that helps and maybe earns a brainliest!
find clarissa salary when she sells $1700 worth of merchandise.
Answer:
361.25
Step-by-step explanation:
first subtract her sales
900 - 500 equals 400
next subtract her earnings
489-405= 85
next divide the remainder of her earnings by the remainder of her sales
85/400=.2125
finally multiply this by 1700
0.21 to 5 * 1700 equals 361.25
(5.3a−0.8)−(1.6−4.7a)=2a−(a−0.3)
Answer: a = 0.3
Step-by-step explanation:
First, distribute(-1)
5.3a-0.8-1.6+4.7a=2a-(a-0.3)
Then, distribute(-1)
5.3a-0.8-1.6+4.7a=2a-a+0.3
Then, combine like terms
10a-2.4=a+0.3
Then, add(2.4)
10a=a+2.7
Then, subtract(a)
9a=2.7
Then, divide(9)
a = 0.3
Hope it helps <3
Answer:
a = 0.3.
Step-by-step explanation:
(5.3a−0.8)−(1.6−4.7a)=2a−(a−0.3)
5.3a − 0.8 − 1.6 + 4.7a = 2a − a + 0.3
5.3a + 4.7a - 2a + a = 0.3 + 0.8 + 1.6
9a = 2.7
a = 0.3.
Please answer this question now
Answer:
The coordinates of C are (2,2)
Please help I will mark brainliest for correct answers!
Answer:27.5
Step-by-step explanation:
Answer:
B. 27.5
Step-by-step explanation:
37 is the Q2, which is the median,
Q1 is 27 + 28 / 2 = 27.5
linear inequality: solve -4x+2
Answer:
x≤-6
Step-by-step explanation:
-4x+2≥ 26
Subtract 2 from each side
-4x+2-2 ≥ 26 -2
-4x ≥ 24
Divide by -4 remembering to flip the inequality
-4x/-4 ≤-24/-4
x≤-6
Answer:
B. x ≤ -6
Step-by-step explanation:
-4x + 2 ≥ 26
Subtract 2 on both sides.
-4x ≥ 26 - 2
-4x ≥ 24
Divide -4 on both sides.
x ≤ 24/-4
x ≤ -6
A coin is tossed and a number cube is rolled. What is the probability that the coin shows heads and the number cube shows 5? a. 1/6 b. 1/12 c. 2/3 d. 1/4
Answer:
1/12
Step-by-step explanation:
P( coin = heads) = number of heads / total = 1/2
P( cube = 5) = number of 5's / total =1/6
P( heads, 5) =1/2 * 1/6 = 1/12
The coin toss and the number cube roll are independent events.
This is because the result of the coin toss does
not affect the result of the number cube roll.
To find the probability of two independent events, we first find the probability of each event, then we multiply the probabilities.
Since there is only one way to get heads when tossing a coin and there are 2 possible outcomes, tossing a heads or tails, the probability of getting heads is 1/2.
Since there is only one way to roll 5 on a number cube, there
is 1 favorable outcome but six possible outcomes.
So the probability of rolling a 5 is 1/6.
Now multiply.
So we have 1/2 · 1/6 which is 1/12.
Solve the inequality.
2(4+2x)>5x+5
O x<-2
O x>-2
O x<3
O x>3
Answer:
the answer is X<3
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Which division expression is equivalent
Answer:
Step-by-step explanation:
the division expression equivalent to 4 1/3 / (-5/6) is
13/3 / (-5/6)
The solution is A
4 1/3 is 13/3
4x3= 12 + 1 = 13 which is 13/3
Given that [Image Display]
What is the domain of the function f ?
a.
only positive integers
c.
only negative integers
b.
All non zero real numbers.
d.
All real numbers including zero
Answer:
The answer is option D.
All real numbers including zero
Hope this helps
Answer:
all non zero real numbers is the answer to the question.
this is because 0 cannot be a function of f of x because you would have undefined as an answer so therefore the answer is all non zero real numbers
A total of $5900 is invested, part at 11% simple interest and part at 7%. If the total annual return from the two investments is $ 537.00, how much is invested at each rate?
How much was invested at 11% ? $____
Answer:
Step-by-step explanation:
y = 5900 - x
Simple interest = Prt
Simple interest on $x = x * 0.11 * 1 = 0.11x
Simple interest on $ (5900 - x) = (5900 - x) * 0.07 * 1
= (5900 - x) * 0.07
= 5900 * 0.07 - x * 0.07
= 413 - 0.07x
Return from tow investment = $ 537
0.11x + 413 - 0.07x = 537
Add the like terms
0.04x + 413 = 537
Subtract 413 for both sides
0.04x = 537 - 413
0.04x = 124
x = 124 /0.04
x = 3100
y = 5900 - 3100 = 2800
x = $ 3100
y = $ 2800
is question 5 right? ignore number 6 i couldn’t crop it out of the picture but please help! i’ll give brainliest :)
Answer:
-47 > 1 - 8x > -63
-48 > -8x > -64 (subtract 1 from -47 and -63)
6 < x < 8 (divide inequality by -8; when you multiply/divide by a negative number you need to flip the sign)
Answer:
its wrong because when u moved the 8 to other side it would be positive. And u didnt switch sign for the 6
Step-by-step explanation:
-47 > 1-8x > -63
Seperate them into two inequalities
-47> 1-8x
Move 1 to the other side it will become -1
-47-1>-8x
-48>-8x
Divide -8 on both sides which will make the sign opposite because dividing with a negative number
6<x
1-8x>-63
Subtract 1 on both sides
-8x>-64
Divide -8 on both sides which will switch sign
x<8
When constructing parallel lines, how can you verify the lines constructed are parallel?t is being constructed based on the markings in the following diagram?
Answer:
You can verify if lines are parallel if they have the same slope and different y-intercepts and if they don't intersect each other. You can also graph the 2 equations to see if they ever intersect.
Step-by-step explanation:
Answer:
C. Check the intersecting lines with the corner of a piece of paper to ensure the lines create 90° angles. Took the test just now and got it right
Step-by-step explanation:
Diego paid $47 for 3 tickets to a concert. Andre paid $141 for 9 tickets to a concert. Did they pay at the same rate?
Answer:
They did pay at the same rate
Step-by-step explanation:
when dividing 47 by 3 you get 15.666... and when dividing 141 by 9 you also get 15.666... using this you can deduce that it is the same rate.
Answer:
Yes
Step-by-step explanation:
We can use ratios for this:
Diego:
47:3 tickets
Divide both sides by 3 so you get the price of one ticket
15.67: 1 ticket
Andre:
141: 9 tickets
Divide both sides by 9 so you get the price of one ticket
15.67: 1 ticket
Draw a model to represent the ratio 1 to 3. Describe how to use the model to find an equivalent ratio. Please help I'm really stuck.
Answer: See below
Step-by-step explanation:
Make a table with first set of numbers as 1,3. Multiply both the numbers of this set sequentially by natural numbers to get the following table
1 2 3 4 5 6 7 8 9 10......
3 6 9 12 15 18 21 24 27 30......
We see that in each set of numbers the 2nd number is 3 times the first number.
If we plot these sets of numbers on a graph paper, we get a model depicting all the points which satisfy this ration requirement.
PLEASE HELP IM STUCK
Answer:
Vertex: (0, 12)
Direction: Upwards
Step-by-step explanation:
Easiest way to do this is to graph it. When you do so you should be able to see that your vertex is at (0, 12) and that the graph opens upwards (a is not negative, so no reflection over the x-axis).
Hey guys help me solve for x!!!
Answer:
X=10solution,
In a parallelogram, diagonal bisects angle into two equal parts. So,
<TVU=<TVW
or, 5x=50
or, X=50/5
X=10
Hope this helps..
Good luck on your assignment.
Answer:
[tex]x = 10[/tex]
Step-by-step explanation:
WVT angle = UTV angle (alternative angles)
* sum of the interior angles in a triangle =180° In UVT triangle,[tex]80 + 5x + 50 =1 80 \\ 130 + 5x = 180 \\ 5 x = 180 - 130 \\ 5x = 50 \\ \frac{5x}{5} = \frac{50}{5} \\ x = 10[/tex]
Calculate the length of the unknown side of this right-angled triangle.
9 cm
17 cm
Answer:
14.4 cm
Step-by-step explanation:
Answer:
4√13
Step-by-step explanation:
Let's call the missing side length x
The given is a right triangle and in right triangle the square
length of hypotenuse is equal to square sum of other two side lengths
17^2 = 9^2 + x^2
289 = 81 + x^2 subtract 81 from both sides
208 = x^2
4√13 = x
59. A car dealership has SUVs and sedans in a ratio of
5:9. How many sedans does the car dealership
have if there are 140 SUVs?
Answer:
The car dealership has 252 sedans.
Step-by-step explanation:
Number of SUVs = 140
Ratio of SUVs to sedans = 5:9
Sum of ratios = 5+9 = 14
Total number of cars = 14/5 × 140 = 392
Number of sedans = 9/14 × 392 = 252
In △ABC, AD is the angle bisector of ∠A and BE is the angle bisector of ∠B. If AD intersects BE at point O, find m∠AOB given the following: b m∠A = 125°, m∠B = 33° quick I will give brainliest, need in 5 minutes!
Answer:
∠AOB = 101°
Step-by-step explanation:
Given:
AD is the angle bisector of ∠A
BE is the angle bisector of ∠B.
∠A = 125°
∠B = 33°
Find:
∠AOB
Computation:
∠BAO = 125° / 2 = 62.5°
∠ABO = 33°/2 = 16.5°
So,
∠AOB + ∠BAO + ∠ABO = 180°
∠AOB + 62.5° + 16.5° = 180°
∠AOB = 101°
21.
6
Which ratio can form a proportion with 6/9
12/8
8/12
10/12
8/13
Step-by-step explanation:
6/9 divide top and bottom by 3 to get 2/3
Now reduce each of the fractions to the lowest terms, and look for one that gives 2/3.
12/8 = 3/2 (divide by 4 top and bottom)
8/12 = 2/3 (divide by 4 top and bottom) This is a solution
10/12 = 5/6 (divide by 2 top and bottom)
8/13 (cannot be reduced)
Therefore the second fraction (8/12) forms a proportion with 6/9.
Answer:
8/12
Step-by-step explanation:
divide through by 2 6/9 = 2/3
also,
divide through by 4
8/12 = 2/3
6/9 = 8/12
Give the starting value a, the growth factor b, and the growth rate r if Q = abt = a(1 + r)t Write r as a percent. Q = 1750 (1.593) Superscript t a. a = 1750 b = 1.593 r = 0.593% c. a = 2787.75 b = 2.5376 r = 0.593% b. a = 1750 b = 1.593 r = 59.3% d. a = 2787.75 b = 1.593 r = 59.3%
Answer:
Option b.
Step-by-step explanation:
If the starting value a, the growth factor b, and the growth rate r, then
[tex]Q=ab^t=a(1+r)^t[/tex] ...(1)
It is given that
[tex]Q=1750(1.593)^t[/tex] ...(2)
On comparing (1) and (2), we get
[tex]a=1750, b=1.593[/tex]
Now, equation (2) can be rewritten as
[tex]Q=1750(1+0.593)^t[/tex] ...(3)
On comparing (1) and (2), we get
[tex]r=0.593[/tex]
[tex]r=(0.593\times 100)\%[/tex]
[tex]r=59.3\%[/tex]
Therefore, the correct option is b.