Which angle is an x–intercept for the function y=cos(1/2x)? A. 0 B. pie/2 C. pie D. 2pie
Answer:
x intercept is 180
Step-by-step explanation:
Given
\(y = cos(\frac{1}{2}x)\)
Required
Determine the x intercept
To do this, we simply set y to 0.
i.e. y = 0
Substitute 0 for y in \(y = cos(\frac{1}{2}x)\)
\(0 = cos(\frac{1}{2}x)\)
Take \(cos^{-1}\) of both sides
\(cos^{-1}(0) = cos^{-1}(cos(\frac{1}{2}x))\)
\(90 = \frac{1}{2}x\)
Multiply both sides by 2
\(2 * 90 = \frac{1}{2}x * 2\)
\(2 * 90 = x\)
\(180 = x\)
\(x = 180\)
Hence, the x intercept is 180
Find the measure of NL. How ?
Answer:
3.7 cm
Step-by-step explanation:
ML = MN + NL
5.8 = 2.1 + NL
NL = 5.8 - 2.1
NL = 3.7
Answer: 3.7 cm
10.
Which graph shows the following system of equations and its solution?
ows the following system of equations and its solution?
The graph that shows the following system of equations and its solution is graph number C
How to determine the graph?A graph is the graphical representation of equations on a graph sheet
The given equations are
-4x-3y=4
4x-y=-4 Solving the equations
In equation 1
When x = 0
-3y = 4
y=-4/3 (0, -4/3)
When y = 0
-4x = 4
x= -1 (-1, 0)
In equation 2 when x = 0
-y = -y = 4 (0, 4)
When y = 0
4x=-4 x=-1 (-1, 0)
When these coordinates are used to plot the graph, graph number is is obtained.
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: Given the function y = -5x + 4, what is the range of the function of the domain is {-2, 0, 5}?
In a case whereby the function is y = -5x + 4, the range of the function of the domain is {14, 4, -21}
How can the range be calculated?A function's range serves as one which encompass conceivable values for y. Y = f(x) is the formula to determine a function's range.
We were told to get the range of the function, which implies that we will be plugging each value in the domain into the given function so that we can observe the output (y-value) .
When x = -2:
y = -5(-2) + 4 = 1
When x = 0:
y = -5(0) + 4 = 4
When x = 5:
y = -5(5) + 4 = -21
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The sets of ordered pairs below represent the cost to fix a plumbing issue based on the number of hours. The first coordinate represents the hours and the second coordinate the cost.
We can say that after answering the offered question For instance, if equation fixing a plumbing problem takes an hour, the cost would be $75. If the repair takes two hours, it will cost $125, and so on.
What is equation?An equation is a mathematical statement that proves the equality of two expressions connected by an equal sign '='. For instance, 2x – 5 = 13. Expressions include 2x-5 and 13. '=' is the character that links the two expressions. A mathematical formula that has two algebraic expressions on either side of an equal sign (=) is known as an equation. It depicts the equivalency relationship between the left and right formulas. L.H.S. = R.H.S. (left side = right side) in any formula.
{(1, 75), (2, 125), (3, 175), (4, 225), (5, 275)}
The cost to repair a plumbing issue based on the number of hours is represented by these sets of ordered pairs. For instance, if fixing a plumbing problem takes an hour, the cost would be $75. If the repair takes two hours, it will cost $125, and so on.
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What is the value of
26 - 16 / 2 + 3 * 4 =
A. 32
B. 30
C. 6
D. 22
B) 30
Step-by-step explanation:
i hope this helps :)
12. The calculation of property tax is based on the
The tax revenue generated from property taxes is often used to fund expressions public services such as schools, parks, and infrastructure projects in the local community.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +. The calculation of property tax is typically based on the assessed value of the property and the tax rate set by the local government. The assessed value is determined by a government-appointed assessor who evaluates the value of the property based on factors such as its location, size, age, and condition. The tax rate is then applied to the assessed value to determine the amount of tax owed by the property owner. The tax revenue generated from property taxes is often used to fund public services such as schools, parks, and infrastructure projects in the local community.
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the product of 4 and a number split into 6 parts
Answer:
4x ÷ 6
Step-by-step explanation:
4 times a number split into 6 parts
4x ÷ 6
What is the length of side CB to one decimal place?
B
A
10
53°
C
▸
The length of side CB to one decimal place is 89.3.
To find the length of side CB in the given triangle, we can use the sine rule. The sine rule states that in a triangle, the ratio of the length of a side to the sine of its opposite angle is constant.
In this case, we have the angle C as 53° and the side opposite to it, side CB, as the unknown. Let's denote the length of side CB as x.
According to the sine rule:
sin(C) / x = sin(A) / AB
We know that angle A is 37° and AB is 120 units. Plugging in the values:
sin(53°) / x = sin(37°) / 120
To find x, we can rearrange the equation:
x = (120 * sin(53°)) / sin(37°)
Calculating this expression gives us:
x ≈ 89.32
Rounding this value to one decimal place, the length of side CB is approximately 89.3.
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In the figure below, mZ1=2x° and m2 = (x + 42).
Find the angle measures.
2
m2 1 - 1
Х
$
m2 = 1
Answer:
\(2x + x + 42 = 90\degree \\ 3x = 48 \\ x = \frac{48}{3} = 16 \\ m \angle1 = 2(16) = 32\degree \\ m\angle2 = 16 + 42 = 58\degree \\ or \\ m\angle2 =90 - m\angle1 =90 - 32 = 58 \degree\)
HELP!! ILL MARK BRRAINLIST
Answer:
I think answer is D but it could be wrong not sure
Sarah begins the week with $21.55. A school lunch costs $2.75. How many
school lunches can she buy and still have at least $10 left at the end of the
week? Write and solve an inequality that Sarah can use to determine the
number of lunches n that she can buy. Don’t add links.I need the answer
Answer:
so you do 21.55 - 10.00 to get 11.55 now divide 11.55 by 2.75
you get 4.2 or 4 meals
the inequality is
X is the number of meals
x = 11.55 divided by sybmol 2.75 = 4.2
or 21.55 - 10 = 11.55 divided by 2.75 = 4.2
Step-by-step explanation:
Please please help please help me help help me please help me
Step-by-step explanation:
-2 is x1
9 is y1
4 is X2
-1 is y2
m= -1-9/4-(-2)
-10/6 =-1.6
14
1 point
4-32.
Use what you know about the sum of the angles of a triangle to find mZABC and mLBAC. Are these angles acute or obtuse?
2x +2°
6x + 8°
B
They are both acute.
They are both obtuse.
One is obtuse and the other is acute.
please help asap! thank you
Answer:
alam ko sagot pero mataas lang
Answer:
I am not sure if my answer is yes. .
help please I really need it
PLEASE ANSWER THIS IS DUE TODAY PLS
The _________ 8.92 and 6.7 is about 16.
1. sum of
2.Difference between
Answer:
sum of
Step-by-step explanation:
sum of = adding
Enter the number that belongs in the green box
The angle measure that belongs in the green box is given as follows:
70.67º.
What is the law of sines?We consider a triangle with side lengths and angles related as follows, as is the case for this problem:
Side length of a is opposite to angle A.Side length of b is opposite to angle B.Side length of c is opposite to angle C.Then the lengths and the sines of the angles are related as follows:
sin(A)/a = sin(B)/b = sin(C)/c.
The relation for this problem is given as follows:
sin(x)/12 = sin(76º)/12.34
Applying cross multiplication, the missing angle measure is given as follows:
sin(x) = 12 x sine of 76 degrees/12.34
sin(x) = 0.9436.
x = arcsin(0.9436)
x = 70.67º.
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Find the volume of the prism
Answer: Grimm I just wanted to tell you this, you can have Kim back. If we never met this wouldn't have happened, I am very sorry I took her away from you, and I feel selfish..
Step-by-step explanation: I just wanted to apologize..
I won't be on here anyway.. :^
I need help with this question
Answer:
C. prime Factorization
Step-by-step explanation:
Help fast Fast Fast Fast
Answer:
0,5
Step-by-step explanation:
Missing number 5 or it can be a 0
This is beacause a number that ends with 0 or 5 is divisible by 5. Divisibilitiy rules state that!
Ex: 5 x 5 = 25
5 x 4 = 20
how to determine if a angle is complementary or supplementary
Complementary angles are angles that add up to give 90 degrees.
As shown in the figure above, the sum of the measure of angle a and angle b will be equal to 90 degrees.
So, angle a and b are complementary angles.
Supplementary angles are angles that add up to give 180 degrees.
As shown in the figure above, the sum of the measure of angle r and angle s will be equal to 180 degrees.
So, angle r and angle s are supplementary angles.
Answer:
complementary = the angles add up to 90 degrees
supplementary = the angle add up to 180 degrees
How many solutions does the following system of equations have?
y = 2x + 6
y = 4x + 12
A) One solution
B) Infinitely Many Solutions
C) No Solution
D) Two Solutions
Answer:
only one
Step-by-step explanation:
because by everymethod answer is -3
Answer:
D
Step-by-step explanation:
A 13 km 13km13, start text, k, m, end text stretch of road needs repairs. Workers can repair 3 1 2 km 3 2 1 km3, start fraction, 1, divided by, 2, end fraction, start text, k, m, end text of road per week. How many weeks will it take to repair this stretch of road?
you can start by dividing the total length of the road by the distance that can be repaired per week:
13 km ÷ 3 1/2 km/week = 3.71 weeks
Rounding up, it will take 4 weeks to repair the entire 13 km stretch of road.
Ahmed has a large can of applesauce. He gives 1/3 of th
applesauce to Sasha. Sasha uses 1/10 of the applesauce to bake
muffins. How much of the original container of applesauce does
Sasha use to bake muffins?
By direct multiplication of fractions, we will see that she uses 1/30 of the original container of applesauce to bake the muffins.
How to take the product of two fractions?
Remember that the product of two fractions is just:
\(\frac{x}{y} \frac{a}{b} = \frac{x*a}{y*b} \)
Now, we know that Sasha gets 1/3 of the applesauce, and she uses 1/10 of what she gets to make the muffins. So the fraction that she uses is just the product of these two:
\(\frac{1}{3}* \frac{1}{10} = \frac{1}{30} \)
This means that she uses 1/30 of the original container of applesauce to bake muffins.
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Consider the line 9x-8y=-9.
Find the equation of the line that is parallel to this line and passes through the point (−3, 4).
Find the equation of the line that is perpendicular to this line and passes through the point (-3, 4).
Equation of parallel line:
Equation of perpendicular line:
1
=
X
0=0
5
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)?
Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
An open circle at 5 and a bold line starting at 5 and pointing to the right (>) is the correct representation of the inequality
How to identify the correct representations of the inequality?An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g 5 < 6, x ≥ 2, etc.
Given: the inequality –3(2x – 5) < 5(2 – x)
First, we have to solve for x in the inequality
–3(2x – 5) < 5(2 – x)
Clear the parenthesis:
-6x + 15 < 10 - 5x (Note: This is one of the options to be selected)
Collect like terms:
-6x + 5x < 10 - 15
-x < -5
Divide both sides by -1:
x > 5 ( Note: Dividing both sides by -1 will change the < to > )
This is what will determine our answer
Since our answer is x > 5. An open circle will be at 5 and a bold line starts at 5 and is pointing to the right (>)
Therefore, the correct representation of the inequality is "an open circle is at 5 and a bold line starts at 5 and is pointing to the right". Select 3rd and 4th option is the answer
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Drop down options for 1 3 and 4 are Forest A or Forest B
A(t) = 107 ( 1.015)^t
The growth rate is 1.015-1 = .015 = 1.5%
B(t) = 88(1.025)^t
The growth rate is 1.025 -1 = .025 = 2.5%
B has a faster growth rate
The constant in front is the initial number of trees, A has 107, B has 88 so A has a greater number of trees initially
107-88 =19 tree
A has 19 more trees than B at the start
30 years
A(30) =107 ( 1.015)^30= 167.24958 = 167 trees
B(30) = 88(1.025)^30=184.58594 = 185 trees
Forest B has more trees after 30 years
Rounding to 2 decimal places
184.59 - 167.25 =17.34 trees
A spinner is equally divided into three equal sectors and marked 2, 3, and 5. Five number cards are labeled 1, 1, 2, 3, and 4. Mike spins the spinner and draws a card randomly.
a) Use a possibility diagram to find the probability that Mike gets a zero when he subtracts the number on the spinner from the number on the card.
b)
Use a possibility diagram to find the probability that the product of the two resulting numbers is odd.
c)
What is the probability that the product of the two resulting numbers is at least 12
Answer:
2/15 ; 6/15 ; 1/5
Step-by-step explanation:
Number on spinner = (2, 3, 5)
Number on card = (1, 1, 2, 3, 4)
____ 2 ___ 3 ____ 5
1__1, 2 __ 1, 3 ___1, 5
1__1, 2 __ 1, 3 ___1, 5
2_ 2,2___2,3 ___2,5
3_ 3,2 __ 3,3 ___3,5
4_ 4,2 __ 4,3 ___4,5
1.)
To get a difference of 0:
{(2,2) ; (3,3)} = 2
Total possible outcomes = sample space = 15
P(difference of 0) = 2 / 15
2.)
Product of 2 resulting numbers is odd:
{(1,3) ; (1,5) ; (1,3) ; (1,5) ; (3,3) ; (3,5)} = 6
Total possible outcomes = 15
P(product is odd) = 6 /15
3.)
Product is atleast 12 :
{(3,5) ; (4,3) ; (4,5)} = 3
Total possible outcomes = 15
P(product is atleast 12) = 3/15 = 1/5
Benny has 72 teddy bears at his toy store. He wants to put them on 8 shelves with
the same number of bears on each shelf. How many teddy bears are on each shelf?
Answer: Answer below
Step-by-step explanation: So you would simply have to divide 8 into 72 which would be 9.
we can verify our answer by doing 9x8 which equals 72.
Answer: 9
Step-by-step explanation:
bears divided by shelves = number of bears per shelf
72 bears divided by 8 shelves= 9 bears per shelf
i have a fair 6 sided dice with sides numbered 4,9,12,16,18 and 24 what is the probability of rolling a number that is a multiple of 4? give your answer as a fraction in its simplest form.
Answer:
4/6
Step-by-step explanation:
Multiples of 4: 4, 12, 16, 24
There are 6 numbers and only 4 are multiples of 4 so the answer is 4/6