Notice that
1/6 - 1/4 = -1/12
Then
cos(-π/12) = cos(π/6 - π/4)
cos(-π/12) = cos(π/6) cos(π/4) + sin(π/6) sin(π/4)
cos(-π/12) = (√3/2) (1/√2) + (1/2) (1/√2)
cos(-π/12) = (√6 + √2)/4
Find equation of the straight line that passes through the point (-1,1) and is perpendicular to 2y = 3x +2
Answer:
3y = -2x + 1
Step-by-step explanation:
Equation of given line is 2y = 3x + 2
==> y = (2/2)x + 1
Slope = 3/2
Slope of perpendicular line is negative of reciprocal of given line ie slope = -2/3
So equation of perpendicular line is of the form
y = (-2/3)x + c where c is a constant
Given that this passes thru x= -1, y =1 we can substitute these values in the above to get
1 = (-2/3)(-1) + c
This yields 1 = (2/3) + c or c = 1-2/3 = 1/3
So the equation of the perpendicular line is
y = (-2/3)x + 1/3
3y = -2x + 1
Which is the graph of linear inequality 2y > x – 2?
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the right of the line is shaded.
On a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
How to graph inequality?Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.
The given linear inequality is,
[tex]2y > x - 2[/tex]
Solve it further,
[tex]2y > x - 2\\2y-x > - 2[/tex]
Change the inequality with changing the sign of it,
[tex]x-2y < 2[/tex]
The inequality equation is graphed, which can be shown in the image provided below. In this graphed equation,
The inequality is shaded with dotted line.As the equation is linear. Thus, in the graph, a straight line is plotted.The sign in of greater than. Thus, the left of the line is shaded.Thus, on a coordinate plane, a dashed straight line has a positive slope and goes through (negative 4, negative 3), (0, negative 1), and (2, 0). Everything to the left of the line is shaded.
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look at attachment and try to solve
The three medians are = CL, AM, and BN. The centroid is point Z. The value of BN, if BZ=30 units, is 45 units.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry.
The problem can be solved as,
The three medians are = CL, AM, and BN.The centroid is point Z.The value of BN, if BZ=30 units, is 45 units.Learn more about Triangle:
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What expression is equivalent to
27+2 x 32
Answer:
well when its simplyfied its 91
Step-by-step explanation:
27 + 64 mutipliction first
27 + 64 = 91
What is the mean of 0.8, 1.0, 2.7, 2.8, 3.1, 13.3
Answer:
2.75
Step-by-step explanation:
Francis works and earns $3437 dollars but on a pay stub pays 42% to tax.
Answer:
Francis has $1,993.46 left of his pay stub
Step-by-step explanation:
earns $3437 dollars
42% to tax (yikes! almost half of their pay)
42% of $3437 dollars: $3437 x 0.42 = 1,443.54
Francis is paying $1,443.54 in taxes
$3437 - $1,443.54 = $1,993.46
Find the area K of the triangle.
a=4, b=5, C = 25°
K=
square units
(Round to two decimal places
as
needed.)
Answer:
4.23 square units
Step-by-step explanation:
The area of the triangle is given by the formula ...
K = 1/2ab·sin(C)
__
Filling in the given values, we find the area to be ...
K = 1/2(4)(5)sin(25°) = 4.23 . . . . square units
Solve for x, please show work!
Answer:
Can you show me the question? Because the picture doesn't have enough datum
It costs $3.99 for 32 fl. oz. of soda. What is the unit rate?
Answer:= 0.124688 oz per fl
Step-by-step explanation:
This is a fraction equal to
3.99 oz ÷ 32 fl
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 32
3.99 oz ÷ 32
32 fl ÷ 32
=
0.124688 oz
1 fl
=
0.124688 oz
fl
= 0.124688 oz pe
simplify the following
Answer:
[tex]-20\sqrt{3}-5\sqrt{2}[/tex]
Step-by-step explanation:
Given expression:
[tex]4 \sqrt{12}-\sqrt{50}-7\sqrt{48}[/tex]
Rewrite 12 as 4 · 3 and 50 as 25 · 2 and 48 as 16 · 3 :
[tex]=4 \sqrt{4 \cdot 3}-\sqrt{25 \cdot 2}-7\sqrt{16 \cdot 3}[/tex]
[tex]\textsf{Apply radical rule} \quad \sqrt{a \cdot b}=\sqrt{a}\sqrt{b} :[/tex]
[tex]=4 \sqrt{4}\sqrt{3}-\sqrt{25}\sqrt{2}-7\sqrt{16}\sqrt{3}[/tex]
As [tex]\sqrt{4}=2[/tex] and [tex]\sqrt{25}=5[/tex] and [tex]\sqrt{16}=4[/tex] then:
[tex]=4 \cdot 2 \sqrt{3}-5\sqrt{2}-7 \cdot 4\sqrt{3}[/tex]
Simplify:
[tex]=8\sqrt{3}-5\sqrt{2}-28\sqrt{3}[/tex]
Collect like terms:
[tex]=8\sqrt{3}-28\sqrt{3}-5\sqrt{2}[/tex]
Combine like terms:
[tex]=-20\sqrt{3}-5\sqrt{2}[/tex]
Alexandra has a bag of stickers, 1/4 are red, 1/3 are black, 1/8 are green, and 1/12 are yellow. She picks a sticker without looking. What color is she MOST likely to choose?
Answer:
las negras, 1/3 es mayor
Step-by-step explanation:
Espero te sirva <3
in standard form for properties of exponents
Answer:
1 / 64
Step-by-step explanation:
(2^2)^-3
apply exponent rule: (a^b)^c = a^(bc) a ≥ 0
2^((2) - 3)
((2) - 3) = -6
2^-6
apply exponent rule: a^-b = 1 / a^b
2^-6 = 1 / 2^6
2^6 = 64
1 / 64
Let me know if you have any questions !
simplify the expression
5(m+1) -1 =
Answer:
We would distribute the 5,
5(m+1) - 1 = 5m + 5 - 1
5m + 4
Step-by-step explanation:
A construction firm is building a football stadium. The building work has taken 499 days so far. It should take another 199 days to build. How many days will the building work take in total
499
199
+------- the answer is 698 you have to add 499 and 199.
miguel is making chocolate cupcakes. The recipe that he is following uses 2/3 cup of sugar, and miguel needs to make 4 batches of cupcakes. If he only has 3 cups of sugar, can miguel still make all of the cupcakes?
Answer:
yes
Step-by-step explanation:
Each batch requires 2/3 c / batch
time 4 batches: 4 * 2/3 = 8/3 cups = 2 2/3 cups
he has 3 cups , so he has enough to make 4 batches
Use the box plots comparing the number of boy dogs and number of girls dogs attending doggy daycare each day for a month to answer the questions.
Part A: Estimate the IQR for the males' data. (2 points)
Part B: Estimate the difference between the median values of each data set. (2 points)
Part C: Describe the distribution of the data and if the mean or median would be a better measure of center for each. (4 points)
Part D: Provide a possible reason for the outlier in the data set. (2 points)
Part A: The IQR for the males' data. 23
Part B: The difference between the median values of each data set. 13
Part C: The distribution of the data and if the mean or median would be a better measure of center for each Median for the males and Mean for the females
Part D:The possible reason for the outlier in the data set. The day the movie premiered
What will be the answers?The likely missing part of the question; The Box Plots are to compare The Number of Males and The Number of Females attending the latest superhero movie every day in a given month
The known parameters
The 5 number summary in a are;
Minimum 0 0
FIrst Quarlite Q1 2 5
Second Quarlite, Mediun Q2 20 7
Third Quarlite 25 40
Maximum 50 18
Outlier 46
Part A:
The Inter Quartile Range, IQR = Q₃ - Q₁
For the males, we have, IQR = 25 - 2 = 23
Part B:
The difference between the median values for the males and females is given as follows;
Difference between median = Q₂ Males - Q₂ Females
∴ Difference between median = 20 - 7 = 13
The difference between the median values for the males and females = 13
Part C:
The distribution of the data for the males is skewed left, with almost all the data in the first half
The better measure of center for the skewed data is the median, given
that three quarter of the data have values that are less than half of the
range of values in the data set, and that the median is close to the third
quartile, the mean will be located further towards the minimum value of
the data than the median
The distribution of the data for the females consists of the interquartile range located approximately in the middle between the max and the min values with the median being close to the first quartile, therefore, the mean will be a better measure of center as it will be located further from the first quartile and closer midway in the IQR
Part D;
The possible reason for the outlier in the data set may be due to the first day the latest super hero movie is premiered
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how much greater is 8 x 10 to the 5 power then 8 x 10 to the -1 power
Answer:
8x10 to the 5 power is 8,000,000 and 8x10 to the -1 power is .8
Step-by-step explanation:
To solve the first problem, you multiply 8 and 10 which gives you 80. Next you move the decimal point 5 spaces to the right which gives you 8,000,000. To solve the second problem, you multiply 8 and 10 which gives you 80. Because you have a negative power you move your decimal point to the left 1 space which gives you .8
in which number does the digit 5 have a value that is 10 times as great as the value of the digit 5 in 253,829
Moving 5 one digit to the left, one number in which the value of digit 5 is 10 times as great as in 253,829 is in 538,290.
What does it mean to move a digit one position to the left?It means that the value of the digit is multiplied by 10.
Hence, moving the digit 5 one position to the left, and appending a zero at the end, generating the number 538,290, the value of digit 5 is 10 times as great as in 253,829.
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please help!! Trying to catch up on my old due assignments before summer
If you’re able to, please explain how you did it
Answer:
A = 50.24 inch^2
Step-by-step explanation:
Area = πr^2
So we have r =4inch and let π = 3.14
A = 3.14 * 4^2
A = 50.24 inch^2
Add.
−4 3/8 + 8 6/7
It should be a mixed number.
Answer:
4 27/56
Step-by-step explanation:
−4 3/8 + 8 6/7
8 6/7−4 3/8
subtract whole numbers 8-4=4
combine fractions 6/7-3/8=27/56
4+27/56
=4 27/56
1. Find the value of x in this figure.
A) 50
B) 60
C) 40
D) 30
Answer:
x = 30
Step-by-step explanation:
x = 90 - 60 = 30
x = 30
.................................................
Jamal works at a sporting goods store on the weekends. Suppose last weekend he worked
12.5 hours and earned $110. How much money does Jamal earn per hour?
* Write an equation you can use to solve the problem , then find the solution
Answer:
$8.8 per hour
Step-by-step explanation:
Well, the equation is simple.
Time (hours) * Money (per hour) = Total
We know the time he worked for and the total amount he earned, so just replace in this equation and find the unknown number
12.5 * money = 110
To find the money he earns per hour we should just simply divide the total amount he earned by the hours he spent working
money = 110/12.5
money = 8.8$
You can also check it out to make sure it's correct.
If he earns 8.8$ per hour and worked for 12.5 hours how much he'll earn? Let's find out
8.8 * 12.5 =?
8.8 * 12.5 = 110, the same total amount so our solution must be correct.
NEED HELP QUICKLY!!
Find the value of the trigonometric ratio. Reduce the fraction when you can. tan X 40 Z X A) C) 5 4 5 32 Y 24 B) D) 433335
Work Shown:
tan(angle) = opposite/adjacent
tan(X) = ZY/XY
tan(X) = 32/24
tan(X) = (8*4)/(8*3)
tan(X) = 4/3
A solid aluminum sculpture in the shape of a rectangular prism has a mass of 129, 600 kilograms. The length of the sculpture is 6 meters, the width is 2 meters, and the height is 4 meters. What is the density of aluminum?
If the volume of the aluminum will be 48 cubic m. Then the density of the aluminum will be 2700 kg per cubic m.
What is density?Density is defined as the mass per unit volume. It is an important parameter in order to understand the fluid and its properties. Its unit is kg/m³.
The mass and density relation is given as
Density = mass/volume
A solid aluminum sculpture in the shape of a rectangular prism has a mass of 129,600 kilograms.
The length of the sculpture is 6 meters, the width is 2 meters, and the height is 4 meters.
Then the density of the aluminum will be
The volume of the aluminum brick will be
V = 6 x 2 x 4
V = 48 cubic m
Then the density will be
D = 129600/48
D = 2700 kg per cubic m
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Which system of linear equations makes the sentence true? is a system of linear equations representing intersecting lines. is a system of linear equations representing parallel lines. is a system of linear equations representing coincidental lines.
The system of the equations 3x = 5y - 22 and 12x = 20y - 11 are parallel lines. Then the correct option is B.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equations are given below.
− 3x + 5y = 22 or 3x = 5y − 22 ...1
20y − 11 = 12x or 12x = 20y − 11 ...2
The system of the equations follows the condition that will be
12/3 = 20/5 ≠ 11/22
4 = 4 ≠ 1/2
This is the condition for the parallel lines or no solution.
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Answer:
2x + y = 4, 5y = 10x + 4
is a system of linear equations representing intersecting lines.
2x + 3y = 21, -6y = 4x + 1
is a system of linear equations representing parallel lines.
-2x + 4y = 9, 8y = 4x + 18
is a system of linear equations representing coincidental lines.
Step-by-step explanation:
Graphed them all.
Find the equation of a line parallel to y - 5 = 6x - 10 that passes through the point (4, 10). (answer in slope-intercept form) A) y = 6x - 14 B) y = 6x + 14 C) y = -6x - 14 D) y = 1 6 x - 14
- - - - - - - - - - - - - - - - - - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\diamond[/tex]
Find the equation of a line parallel to y-5=6x-10 that passes through (4,10)
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]
❖ If lines are parallel to each other, they have the same slope.
So the slope of the line parallel to y-5=6x-10 is 6.
Now, since we're also given the point crossed by the line, we write the equation in point-slope form:-
[tex]\sf{y-y_1=m(x-x_1)}[/tex]
Substitute 10 for y₁, 6 for m and 4 for x₁:-
[tex]\sf{y-10=6(x-4)}[/tex]
On simplification,
[tex]\sf{y-10=6x-24}[/tex]
Adding 10 to both sides results in:-
[tex]\sf{y=6x-14}[/tex]
So we conclude that Option A is correct.
Good luck.- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
If you vertically stretch the the exponential function f(x)=2x by a factor of 4, what is the equation of the new function?
Answer:
The answer would be fx=4(2x)
Step-by-step explanation:
have a good day!!
There are 10 participants in the Olympic 100 meter sprint. If first, second, and third place get medals, how many possible outcomes of medal winners are there if Usain Bolt places first?
Answer:
56
Step-by-step explanation:
with Usain Bolt getting the the first place there is only 9 other contestants that can get the two other available medal position. When the second place is taken, there will be 8 remaining contestants for a third place therefore you do 9 multiplied by 8 to get 56 differrent combinations of contestants for the third or second place medal
a ball has a diameter of 4 inches what is the volume
Answer:
268.08 cubic inches
Step-by-step explanation:
I'm sorry if this isn't helpful
i need help with 7th grade math please 30 points need help ASAP + brainleist
Answer:
See below ~
Step-by-step explanation:
Circle 1
Circumference = 2πr = 2 x 3.14 x 2.5 = 5 x 3.14 = 15.7 mArea = πr² = 3.14 x (2.5)² = 3.14 x 6.25 = 19.625 m²Circle 2
Area = πr² = 3.14 x 1² = 3.14 mm²Circumference = 2πr = 2 x 3.14 x 1 = 6.28 mmAnswer:
circumference with diameter 5=15.7m
area with diameter 5=19.625m²