As we know;
[tex]sin^2(x)+cos^2(x)=1[/tex]We will use this equality. We take the square of the sine of the given angle and subtract it from [tex]1[/tex].
[tex]sin^2(A)=(-\frac{17}{19} )^2=\frac{289}{361}[/tex][tex]sin^2(A)+cos^2(A)=1[/tex][tex]sin^2(A)=1-cos^2(A)[/tex][tex]\frac{289}{361}=1-cos^2(A)[/tex][tex]cos^2(A)=1-\frac{289}{361} =\frac{72}{361}[/tex][tex]\sqrt{cos^2(A)} =cos(A)[/tex][tex]\sqrt{\frac{72}{361} }=\frac{6\sqrt{2} }{19}[/tex]In the third region the sign of cosines is negative. Therefore, our correct answer should be as follows;
[tex]cos(A)=-\frac{6\sqrt{2} }{19}[/tex]solve the equation for x. x/16=10
To solve further cross multiply both sides
so that
[tex]x\text{ }\times1\text{ = 16 }\times10[/tex]x = 160
Write the decimal for each word. Then round the answer to the nearest tenthc) nine hundred forty-two ten-thousandths
nine hundred forty-two ten-thousandths:
1. Write the first part as a number: nine hundred forty-two
nine hundred: 900
forty-two: 42
900+42= 942
2. Identify the position of number above in the decimal knowing that ten-thousandths ends in 4 disgits after the decimal point (the last digit of number above needs to be in the ten-thousandths position):
The given number is: 0.0942Rounded the answer to the nearest tenth: 0.1Find an equivalent fraction with the given denominator 7/8 = ?/72
To find the missing numerator si that both fractions are equivalent, you have to multiply both sides of the equal sign by 72:
[tex]\begin{gathered} 72\cdot\frac{7}{8}=72\cdot\frac{?}{72} \\ 63=\text{?} \end{gathered}[/tex]The missing numerator is 63
The equivalent fractions are:
[tex]\frac{7}{8}=\frac{63}{72}[/tex]Find the solution of the system by graphing.-x - 4y=4y=1/4x-3Part B: The solution to the system,as an ordered pair,is
Solution
-x -4y = 4
y= 1/4 x -3
Replacing the second equation in the first one we got:
-x -4(1/4x -3) =4
-x -x +12= 4
-2x = 4-12
-2x = -8
x= 4
And the value of y would be:
y= 1/4* 4 -3= 1 -3= - 2
And the solution would be ( 4,-2)
Hello I need help with this . Thanks ok ok
Answer:
The given graph is not a graph of a function because a vertical line can be drawn that will intersect this graph more than once.
Explanation:
A vertical line test is generally used to determine if a relation is a function or not by drawing a vertical line across the graph of the relation.
If the vertical line intersects the graph of the relation more than once, it means that the relation is not a function because one x-value will have more than one y-value.
If the vertical line intersects the graph just once, then we can say that the relation is a function since one x-value will be associated with only one y-value.
Looking at the given graph, we can see that a vertical line can be drawn across the graph that will intersect the graph more than once, therefore the given graph is not a graph of a function because a vertical line can be drawn that will intersect the graph more than once.
Graph of this line using intercepts. I need some help some assistance would be nice
Explanation:
The equation of the line is given below as
[tex]2x+3y=18[/tex]Step 1:
To determine the x-intercepts, we will put y=0 and solve for x
[tex]\begin{gathered} 2x+3y=18 \\ 2x+3(0)=18 \\ 2x+0=18 \\ 2x=18 \\ \frac{2x}{2}=\frac{18}{2} \\ x=9 \\ x-intercept=(9,0) \end{gathered}[/tex]Step 2:
To determine the y-intercept, we will put x=0 and solve for y
[tex]\begin{gathered} 2x+3y=18 \\ 2(0)+3y=18 \\ 0+3y=18 \\ \frac{3y}{3}=\frac{18}{3} \\ y=6 \\ y-intercept=(0,6) \end{gathered}[/tex]Hence,
The graph using the intercepts will be given below as
1. Write the equation of a line perpendicular to thex 5and that passes through thepoint (6,-4).line y
The line we want has a slope that is the negative reciprocal of the slope of the line
y = -(1/2)x - 5
The slope of this line is -1/2. So, the slope of its perpendicular lines is 2. Therefore, their equations have the form:
y = 2x + b
Now, to find b, we use the values of the coordinates of the point (6, -4) in that equation:
-4 = 2*6 + b
-4 = 12 + b
b = -4 - 12 = -16
Therefore, the equation is y = 2x - 16.
I absolutely dont understand Division Property of Equality please help
We have the following equation.
[tex]20,000-1.8939m=10,000[/tex]Where m is the number of feet in a mile.
Let us subtract 20,000 from both sides of the equation then simplify
[tex]\begin{gathered} -20,000+20,000-1.8939m=10,000-20,000 \\ -1.8939m=-10,000 \end{gathered}[/tex]The negative sign cancels out and the equation becomes
[tex]\text{1}.8939m=10,000[/tex]Finally, we can apply the Division Property of Equality which states that when we divide both sides of the equation with same number then the equation remains valid.
Let us divide both sides of the equation by 1.8939 then simplify
[tex]\begin{gathered} \frac{1.8939m}{1.8939}=\frac{10,000}{1.8939} \\ m=\frac{10,000}{1.8939} \\ m\approx5280 \end{gathered}[/tex]Therefore, there are 5280 feet in a mile (rounded to nearest whole number)
You have 4/5 of a pizza left over from your pool party. If you sent 4/9 of the leftover pizza home with your friends how much of the pizza do you have left in the box
If I sent 4/9 of the leftover pizza home with your friends the pizza do I have left in the box is 16/45.
What is pizza?
Pizza is an Italian food consisting of a typically flat, spherical foundation composed of leavened wheat dough that is topped with cheese, tomatoes, and frequently a number of additional toppings. Following that, the pizza is baked at a high temperature, typically in a wood-fired oven. A small pizza is also known as a pizzetta. A pizza maker is referred to as a pizzaiolo.
To get the quantity of the leftover pizza, we need to subtract the pizza sent by me to home from the total pizza I had in my lunch box.
So,
Pizza I have left = Pizza in lunch box - Pizza I have sent
Pizza I have left = 4/5 - 4/9
Pizza I have left = (4(9) - 4(5))/45
Therefore, Pizza I have left is 16/45.
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For the function f(x)5x – 2, what does the x represent?
The given function is
f(x) = 5x - 2
If we are given a function f(x), the x is called argument of the function.
You just have to pass argument x to get the value of f(x).
A spinner has eight = sections, five of which are gray and red with your blue. The Spinners spun twice. What is the probability that the first spin lands on blue and the second spin lands on gray.
The probability that the first spin lands on blue and the second spin lands on gray is 15 / 56.
What is probability?Probability is the likelihood that an event will happen or take place.
The spinner has eight = sections, five of which are gray and red with your blue.
Probability that the first spin lands on blue = 8
(8 - 5)/8 = 3/8
The probability of landing of gray is 5/7 for the second time.
Therefore, the probability will be:
= 3/8 × 5/7
= 15 / 56
This illustrates the concept of probability.
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There are 360° in a circle graph. If 50° of the graph represents rent and 7" of the graph represents savings, what fractional portion of the whole graph is not represented by rent and savings?
The fractional portion of the whole graph is not represented by rent and savings? is 101/120.
How to illustrate the information?From the information, there are 360° in a circle graph and 50° of the graph represents rent and 7" of the graph represents savings.
The part that isn't savings or rent will be:
= 360° - (7° + 50°)
= 360° - 57°
= 303°
Therefore, the fractional part will be:
= Part that isn't savings or rent / Entire degree
= 303/360
= 101 / 120
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What is the value of x? Enter your answer in the box. x =
The value of x from the given isosceles triangle is 8 units.
The measures of sides of triangle are given AB=4x-10, AC=5x-22 and BC=3x+2.
What is an isosceles triangle?Isosceles triangles are those triangles that have at least two sides of equal measure and two base angles are equal.
Here, AC = BC
⇒ 5x-22 = 3x+2
⇒ 5x-3x = 22+2
⇒ 3x = 24
⇒ x = 8 units
Therefore, the value of x from the given isosceles triangle is 8 units.
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–2(1 – 5x) = 4 – 4(-2x)
-2(1 - 5x) = 4 - 4(-2x)
First, we eliminate the parentheses and solve the multiplications
-2*1 - 2*(-5x) = 4 + 8x
-2 + 10x = 4 + 8x
Now, we subtract 8x from both sides and add 2 to both sides
-2 + 10x - 8x + 2 = 4 + 8x - 8x + 2
2x = 6
Then, we divide both sides by 2
2x/2 = 6/2
x = 6/2
x = 3
find the value of. abe, bec, and the minor arc ec
Answer
Angle ABE = 64°
Angle BEC = 48°
Minor arc EC = 134°
Explanation
The key to solving this is to take a look at this image below
According to the tangent-chord theorem, we know that
Tangent Chord angle ABE = (Intercepted arc BE)/2
Angle ABE = (128°/2)
Angle ABE = 64°
Tangent chord angle CED = (Intercepted arc EC)/2
68° = (Minor arc EC/2)
Multiply both sides by 2
136° = Minor arc EC
To find the Angle BEC, we need to first obtain the arc BC
The total angle around a circle is 360°
Arc BE + Arc BC + Arc EC = 360°
128° + Arc BC + 136° = 360°
Arc BC = 360° - 128° - 136°
Arc BC = 96°
Then to find the Angle BEC, the image attached below guides us
So, we can easily say that
Angle BEC = ½ (Arc BC)
Angle BEC = ½ (96°)
Angle BEC = 48°
Hope this Helps!!!
Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows.
Given the table that shows the number of movies and the corresponding frequency, you can determine that the total frequency is:
[tex]Total\text{ }Frequency=25[/tex]By definition:
[tex]Relative\text{ }Frequency=\frac{Frequency}{Total\text{ }Frequency}[/tex]By definition, the Cumulative Frequency can be obtained by adding the corresponding frequency with the previous frequencies and dividing the sum by the Total Frequency.
Therefore, you can determine that:
- For:
[tex]Frequency=3[/tex]You know:
[tex]Relative\text{ }Frequency=\frac{3}{25}[/tex]And:
[tex]Cummulative\text{ }Relative\text{ }Frequency=\frac{3}{25}[/tex]- Given:
[tex]Frequency=8[/tex]You get:
[tex]Relative\text{ }Frequency=\frac{8}{25}[/tex]And:
[tex]Cummulative\text{ }Relative\text{ }Frequency=\frac{3+8}{25}=\frac{11}{25}[/tex]- Given:
[tex]Frequency=9[/tex]You get:
[tex]Relative\text{ }Frequency=\frac{9}{25}[/tex]And:
[tex]Cummulative\text{ }Relative\text{ }Frequency=\frac{3+8+9}{25}=\frac{4}{5}[/tex]- Given:
[tex]Frequency=4[/tex]You get:
[tex]Relative\text{ }Frequency=\frac{4}{25}[/tex]And:
[tex]Cummulative\text{ }Relative\text{ }Frequency=\frac{3+8+9+4}{25}=\frac{24}{25}[/tex]- Given:
[tex]Frequency=1[/tex]You get:
[tex]Relative\text{ }Frequency=\frac{1}{25}[/tex]And:
[tex]Cummulative\text{ }Relative\text{ }Frequency=\frac{3+8+9+4+1}{25}=\frac{25}{25}=1[/tex]Hence, the answer is:
I have the answers for the first two but now I'm just confused
Find the volume of the cylinder and round to the nearest hundreth. Use 3.14 for pi
Volume of a cylinder: pi * r^2 * h
Where:
pi = 3.14
r= radius = 8km
h= heigth = 7km
Replacing:
V = 3.14 * (8)^2 * 7 = 1,406.72 km3
-3x + 14y =7 -2x + 13y = -1Should this be solved by elimination or substitution?
ANSWER
Elimination
EXPLANATION
We want to decide what method will be easier to solve the system of simultaneous equations.
From the equation, we see that attempting substitution will be quite difficult because there will be fractions involved thereby making simplification difficult.
On the other hand, elimination will involve multiplying the two equations by certain factors and solving.
Therefore, elimination will be more convenient.
May I please get help with this. I need help with finding the original and final points on the figure and also finding out where I should put my reflection?
Answer:
Step-by-step explanation:
The rule for a reflection over the y-axis is represented by the following equation:
[tex](x,y)\rightarrow(-x,y)_{}[/tex]Therefore, for the given figure and given point:
Determine the solution to the system of equations using substitution. (1 pt)2:+ y=6y = -6(2,6)(2,-6)(4, -2)(-2,4)
2x + y = 6 (1)
y = x - 6 (2)
Substituting y in equation (1)
2x + x - 6 = 6
3x - 6 = 6 Isolating 3x
3x = 6 + 6
3x = 12 Isolating x
x = 12/3 = 4
If x is 4 , then y is equal to -2 ( from equation (2) y)
The derivative of tan(ln(t)) is?
Answer: The derivative of tan(t) with respect to t is sec2(t) sec 2 ( t ) .
Step-by-step explanation:
hope this helps
Paula will make fruit punch for a party she will mix 1 1/2 gallons of orange juice with 5/8 of a gallon of pineapple juice how many 1/8 gallon servings will Paula have
First let's find the total number of gallons of the fruit punch. To do so, we just need to sum the gallons of orange juice (1 1/2) ith the gallons of pineapple juice (5/8):
[tex]1\frac{1}{2}+\frac{5}{8}=\frac{3}{2}+\frac{5}{8}=\frac{12}{8}+\frac{5}{8}=\frac{17}{8}[/tex]Now, in order to find how many 1/8 servings can be made, we need to divide the total number of gallons of the fruit punch by the number of gallons of a serving:
[tex]\frac{\frac{17}{8}}{\frac{1}{8}}=\frac{17}{8}\cdot\frac{8}{1}=17[/tex]So Paula can have 17 servings.
Answer:
17
Step-by-step explanation:
5/8 - 5
1 1/2 - 12
Mikayla and Courtney both leave the internet cafe at the same time, but in opposite directions. If Courtneytravels 7 mph faster than Mikayla and after 6 hours they are 162 miles apart, how fast is each traveling?
Courtney travels at 17mph and Mikayla at 10mph
1) In this question, we need to set equations for that.
Courtney Mikayla
v +7 v speed
2) Note that we have to use this relation:
[tex]Speed\, {\times time=distance}[/tex]So, we can write out the following:
[tex]\begin{gathered} v6+(v+7)6=162 \\ v6+6v+42=162 \\ 12v+42-42=162-42 \\ 12v=120 \\ v=10 \end{gathered}[/tex]So we can now plug into Mikayla's speed and Courtney
Mikayla travels at 17mph and Courtney at 10mph
Use the given sets to find A∩B.A={2,4,6,8,10,12}B={7,9,11,13,14,15,16}
Recall that
[tex]A\cap B[/tex]is a set that consists of all the elements that are in both A and B.
From the given sets we get that the elements that are in both A and B are:
[tex]\text{None.}[/tex]Therefore, the intersection of the sets is the empty set.
Answer:
[tex]A\cap B=\emptyset.[/tex]PLS HELP ASAP WILL GIVE BRAINLIST
Answer:
65
Step-by-step explanation:
[tex]-4a + 65 = 2a + 5\\60 = 6a\\a = 10\\[/tex]
KJN = 25 degrees
MJN = 25 degrees
KJM = KJN + MJN = 25 + 25 = 50 degrees
total angles = 360 degrees
JKL = (360 - 50 - 50 )/2 = 130 degrees
LKN is half of JKL = 130/2 = 65
Anna weighs 132 lb. Determine her mass in kilograms using the conversion 1 kg equal 2.2 lb. Use this mass to answer this question. calculate Anna's weight on Jupiter. (G= 25.9 m/ S2) must include a unit with your answer
Input data
132 lb
132 lb * 1kg / 2.2lb = 60 kg
Anna's weight on Jupiter
w = 60 kg * 25.9 m/S2
w = 1554 N
I need a math wiz to explain this to me, are you a math wiz?
SOLUTION
The questions is outside scope
I’m confused on this question. I just have to choose which one
SOLUTION:
Case: Circle theorems
Method:
From the given circle
Theorem: The angle at the center of the circle is twice the angle at the circumference formed by the same segment.
The implication to the circle in the question is:
[tex]\begin{gathered} \hat{mST}=2m\angle2 \\ OR \\ m\angle2=\frac{1}{2}(\hat{mST}) \end{gathered}[/tex]Final answer
[tex]m\operatorname{\angle}2=\frac{1}{2}(\hat{mST})[/tex]Little help here please
Step-by-step explanation:
as the intersection angles of parallel lines with a third line are the same for both parallel lines (and then vice versa for the other pair of parallel lines), we have a lot of equal angles here.
not to forget : the sum of all angles around a single point on one side of a line is always 180°.
51 = (y + z)
(6z + 9y) = x
x + (x + z) = x + 51 = 180°
x = 129°
we have now
y + z = 51
9y + 6z = 129
so,
z = 51 - y
9y + 6(51 - y) = 129
9y + 306 - 6y = 129
3y = -177
y = -59
z = 51 - y = 51 - -59 = 51 + 59 = 110
the value of z that makes j and k parallel is 110.
