Answer:
1/2
Step-by-step explanation:
Question 2.
If 0 is an angle in the first quadrant, and cos(θ) = 0.669, determine the value of
cos(π - θ), cos(π + θ), and cos(4π - θ) using Symmetry.
Answer:
1) -0.669
2) -0.669
3) 0.669
Step-by-step explanation:
Since we are subtracting or adding multipled of pi, we will either obtain 0.669 or -0.669 as our answer for each of the three different questions.
Cosine is the x-coordinate in our orderes pairs. If our point ends up on the right side of the y-axis, the cosine will be positive. If our point ends up on left side, it will be negative.
Choose a thetha (I'm going to choose it in degrees) in the first quadrant to help with a visual.
If theta=70:
1) then 180-70=110 which is in second quadrant, so our cosines will be opposite in value.
2) then 180+70=250 which is in third quadrant, so our cosines will be opposite in value.
3) then 4×180-70=720-70=650 =1(360)+290 which ends up in the 4th quadrant which means the consines will have the same value.
The first side of a triangle measures 5 in. less than the second side, the third side is 3 in. more than the first side, and the perimeter is 17 in. Set up an equation that relates the sides of the triangles in terms of the perimeter of the triangle.
3s - 10 = 17
3s - 7 = 17
2s -7 = 17
2s - 5 = 17
Answer:
3s-10=17
s=9
3×9-10=17
27-10=17
On a coordinate plane, a curved line with a maximum value of (negative 1, 2) crosses the x-axis at (negative 3, 0) and (1, 0), and crosses the y-axis at (0, 1.5).
What are the x-intercepts of the graphed function?
(–3, 0) and (0, 1.5)
(–3, 0) and (1,0)
(–1, 2) and (1, 0)
(0, 1.5) and (1, 0)
9514 1404 393
Answer:
(–3, 0) and (1,0)
Step-by-step explanation:
The x-intercepts are where the curve crosses the x-axis. Your problem statement tells you ...
"crosses the x-axis at (negative 3, 0) and (1, 0)"
This means the x-intercepts are (-3, 0) and (1, 0).
Answer:
The answer would be B= (–3, 0) and (1,0)
what is the value of 5 in the number 68.513?
Answer:
00000000.1
Step-by-step explanation:
1+1=2-1%000.1
can u guys help me with this
Answer:
O
Step-by-step explanation:
We can answer this by using the process of elimination
We want to find the position of 0.5
So let's begin
Looking at the number line...
D and E are both in between negative numbers
0.5 is not a negative number so immediately we can eliminate D and E
So it is between O and M
O is between 0 and 1
.5 is between 0 and 1 so O might be the answer
However let's look at M just to be safe.
M is located between 3 and 4.
Both 3 and 4 are greater than .5 meaning that M cannot represent .5
So we can conclude that O is the best answer
I don't think that there is enough info for this problem, but could someone try to help?
Answer:
12
Step-by-step explanation:
Rectangle : Let length = b & width = a
PQ = QR = 6
LR = QR - PL = 6 - a
ΔPQR ~ ΔMLR
In similar triangles, corresponding sides are in same ratio.
[tex]\frac{PQ}{QR}=\frac{ML}{LR}\\\\\frac{6}{6}=\frac{a}{6-b}[/tex]
[tex]1 =\frac{a}{6-b}[/tex]
6 - b = a
6 = a + b
a +b = 6
Perimeter of rectangle = 2*(length +width}
= 2*(a+ b)
= 2 * 6
= 12
What is the value of y?
B
1
5
5
60°
A
60°
C
5
Answer:
the value of y in the equation is 60°
Evaluate 6 + 3b if b = 7
Step-by-step explanation:
6+3b=6+3(7)=6+21=27
Very easy
<(￣︶￣)><(￣︶￣)><(￣︶￣)><(￣︶￣)>
Which theorem is used?
Answer:
E
Step-by-step explanation:
I believe it should be E because it uses parallel lines
x^2-1/4y^2, if x=9, and y=2
Describe the relationship between the area of a circle and it’s circumference
Answer: We know that for any circle with radius r the formula for the area and circumference of the circle is given as: Area of circle=πr². ... Hence, to describe the relationship between the area of a circle and its circumference. The Area of circle is 1/2 times the radius times the circumference.
Step-by-step explanation:
Please explain how to do this. 7th grade math. Worth 20 points.
[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:find}}{\blue{:}}}}}[/tex]
The value of [tex]x[/tex].
[tex]\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}[/tex]
[tex]\longrightarrow{\green{x=12° }}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
We know that,
[tex]\sf\pink{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]
➪ 95° + (3[tex]x[/tex] +4)° + (4[tex]x[/tex] - 3)° = 180°
➪ 3[tex]x[/tex] + 4[tex]x[/tex] + 95° + 4° -3° = 180°
➪ 7[tex]x[/tex] + 96° = 180°
➪ 7[tex]x[/tex] = 180° - 96°
➪ 7[tex]x[/tex] = 84°
➪ [tex]x[/tex] = [tex]\frac{84°}{7}[/tex]
➪ [tex]x[/tex] = 12°
Therefore, the value of [tex]x[/tex] is 12°.
Now, the three angles of the triangle are 95°, 40° and 45° respectively.
[tex]\large\mathfrak{{\pmb{\underline{\purple{To\:verify}}{\purple{:}}}}}[/tex]
✒ 95° + 40° + 45° = 180°
✒ 180° = 180°
✒ L. H. S. = R. H. S.
[tex]\boxed{Hence\:verified.}[/tex]
Helllllppppp please????
Answer:
7.75
Step-by-step explanation:
(I'm assuming you need to find the missing side of the triangle)
To find missing values in a right angle. we will use the pythagoras theorem which states that:
h^2 = a^2 + b^2
16^2 = 14^2 + b^2
256 = 196 + b^2
256 - 196 = b^2
60 = b^2 (take sqaure root)
b= 7.75
Answer from Gauthmath
Hello Guys I need help with...The highest common factor of 6x;,8xy
Answer:
2x
Step-by-step explanation:
Given
6x and 8xy
The highest common factor of 6 and 8 is 2
The highest common factor of x and xy is x
Then
The highest common factor of 6x and 8xy is 2x
There are 3 pizzas. Each child will get 1/2 of the pizza. How many 1/2's will there be in 3 pizzas?
Answer:
There are 6 halves of the pizza
Step-by-step explanation:
3/0.5=6
Which of the following is the solution to 9|x +4|>54 ?
O A. x2-10 or x 2 2
O B. xs-10 and x 2
C. x2
O D. X<-10 or x >2
Answer:
x>2 or x<-10
Step-by-step explanation:
9|x +4|>54
Divide each side by 9
9/9|x +4|>54/9
|x +4|>6
There are two solutions, one positive and one negative
x+4 >6 or x+4 < -6
Subtract 4 from each side
x+4-4 >6-4 or x+4-4 < -6-4
x>2 or x<-10
Part C
Now try this one. Write a description of the partitioned function using known function types, including transformations.
Answer:
Please find the complete question in the attached file.
Step-by-step explanation:
All three functions are defined as follows:
For function 1:
The module on the absolute value function instance example also is known as this function:
[tex]f(x)=|x| \ \left \{ {{x, \ \ x>0} \atop {-x \ \ <0}} \right.[/tex]
This is [tex]f(x)= x, \ \ x<0[/tex] in the following diagram.
For function 2:
It is an algebraic function of in this function
It also is a quadratic polynomial functional with a [tex]y=x^2, \ \ x>0[/tex] value.
For function 3:
The cubic polynomial equation is evaluated for in this function
The value of the graph is:
[tex]y=-x^3 \ \ \ \ and\\\\\to y= f(x)\\\\\to y= -f(x)\\\\[/tex]
Year 10 girls = 70, year 10 boys = 140, what fraction of year 10 are boys?
Answer:
2/3
Step-by-step explanation:
140/(140+70)
=140/210
simplified
=2/3
4. Three friends are collecting football cards. They have 240 cards between them. Zukile has 60 more cards than Adam, and Siya has twice as many cards as Adam. If Adam has x number of cards, write and solve an equation to find how many cards they each have.
Answer:
Zukile has 105, Adam has 45, Siya has 90
Step-by-step explanation:
Not sure how right this is, but I did: 240=2x+x+(60+x)
Simplify to: 240=60+4x
Simplify to: 180=4x
Simplify to: 45=x
Solve the inequality -10 is greater or equal to -2x
Answer:
-10 and - 2x
The x is unknown number so, we don't know which one if -2x or -10 is greater.
identify each of the following as rational or irrational.
Answer:
Step-by-step explanation:
A rational number can be written as a fraction of two integers.
√23 is irrational because we do not know what the square root of 23 is in terms of integers in a fraction.
104.42 is rational because it can be expressed as 10442/100 . We can express it as this because
104.42 * 1 = 104.42 * 100/100 = 10442/100, and multiplying something by 1 keeps it the same
√64 is rational because it is equal to 8, and 8/1 is equal to 8
49.396 with the 6 repeating is rational because we can express 49.39 as
49.39 * 1 = 49.39 * 100/100 = 4939/100, and we are then left with
49.396- 49.39 = 0.006 (with the 6 repeating). A repeating decimal can be expressed as x/9, with the x representing all values before the repetition begins multiplied by 10.
For example, 0.6 with the 6 repeating can be represented as 6/9. This is because 0.6 * 10 = 6, and we divide that by 9. Similarly, 0.006 with the 6 repeating can be represented by 0.06/9
We add the two fractions together to get
4939/100 + 0.06/9
multiply both fractions by the other's denominator to even them out and make the numerator of the second fraction an integer
(4939*9)/(100*9) + (0.06*100)/(9*100)
= 44451/900 + 6/900
= 44460/900
Assuming that the last number has only the digits given, that is rational because, similarly to 104.42, it can be multiplied by a power of 10 to result in (integer)/(integer), making it rational. If the dots represent infinite digits, then it is not rational because there are infinite digits that are not repeating, and there is no way to know the last digit, so it is impossible to write a fraction from it
what are the slope and the y-intercept of the linear function that is represented by the table?
What is the value of x and the length of segment DE?
StartFraction 5 Over 9 EndFraction = StartFraction 9 Over 2 x + 3 EndFraction
10x + 15 = 9(9)
x = _____
Length of = ___units
Answer:
Step-by-step explanation:
This is a geometric means problem involving the height of 9. 9 is the geometric mean because it is the height of both ΔCFD and ΔEFD. Set up the problem accordingly:
[tex]\frac{5}{9}=\frac{9}{2x+3}[/tex] and cross multiply:
81 = 5(2x + 3) and
81 = 10x + 15 and
66 = 10x so
x = 6.6
Now we will plug that value in for x to find the length of DE:
2(6.6) + 3 = 16.2 units
6. Show how to simplify the expression 8x + 3 + 4x - 2 without using algebra tiles. Describe each step of the process.
Answer:
12x+1
Step-by-step explanation:
8x+3+4x-2
8x+4x+3-2
Arranging Like terms
12x+1
Adding Like terms (8x+4x) and Substracting numbers ! ++- = - So we substrate it and in addition we don't change symbols so 3 is greatest number so we write + there !
Work out the mean for the data set below:
403, 404
Give your answer as a decimal.
Answer:
605.5
Step-by-step explanation:
When you do a frequency table for this question,the zigma F becomes 2 and the zigma fx becomes 1211.Because you will multiply the marks by the frequency to get the zigma fx so after getting them you add it.Which becomes 403+808=1211.the formula for finding the mean too is zigma fx/zigma f: 1211/2=605.5
In Exercise 6, suppose that there is a probability of .01 that a digit is incorrectly sent over a communication channel (i.e., that a digit sent as a 1 is received as a 0, or a digit sent as a 0 is received as a 1). Consider a message that consists of exactly 60% 1s. a. What is the proportion of 1s received at the end of the channel
Answer:
The proportion of 1s received at the end of the channel is of 0.598.
Step-by-step explanation:
In this question:
60% of the bits sent are 1, 100 - 60 = 40% of the bits sent are 0.
For each bit receive, 0.01 probability of an error, so 0.99 probability it is correct.
a. What is the proportion of 1s received at the end of the channel?
99% of 60%(sent 1s, received 1).
1% of 40%(sent 0s, received 1). So
[tex]p = 0.99*0.6 + 0.01*0.4 = 0.598[/tex]
The proportion of 1s received at the end of the channel is of 0.598.
write y=4x+3 in mapping notation
Answer:
y=7x
Step-by-step explanation:
because y= 4x+3=7x
What is the answer to this question? Please give a step by step explanation.
Answer:
25
Step-by-step explanation:
8b^2 +2a(4c-b)
Let a = 1/4 b=2 c= -3
8 ( 2)^2 +2(1/4) ( 4*-3 -2)
Parentheses first
8 ( 2)^2 +2(1/4) ( -12 -2)
8 ( 2)^2 +2(1/4) ( -14)
Then exponents
8 ( 4) +2(1/4) ( -14)
Then multiply
32 -7
Subtract
25
a.) What is the measurement of the missing side (c)?
b.) What is the angle of (x)?
Carlos compro cierta cantidad de panes puso 1/4 de esa cantidad sorbre su bandeja y dejo el resto de panes en la bolsa ¿Cuantos panes dejo Carlos en la bolsa?
Answer:
The quantity of loaves left in the bag is 3/4.
Step-by-step explanation:
Carlos bought a certain amount of loaves, put 1/4 of that amount on his tray and left the rest of the loaves in the bag. How many loaves did Carlos leave in the bag?
Quantity of loaves in tray is 1/4
So, the quantity of loaves in the bag is
[tex]1-\frac{1}{4}=\frac{3}{4}[/tex]
