The value of θ from the given equation is 48.59degrees
Trigonometry identityGiven the trigonometry function
Sin(θ)=3/4
We are to find the value of theta that will make the expression true
Take the arcsin of both sides
arcsin Sin(θ)= arcsin(3/4)
θ = arcsin(3/4)
θ = 48.59
Hence the value of θ from the given equation is θ = 48.59 defense
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how do scientists know about the ordovician period
Answer:
they do know true the callender
what is the answer to x2-49=0 (must show work)
Answer:
x = 7, x = -7
Step-by-step explanation:
Hi there!
We are given the following equation:
x²-49=0
And we want to solve it for x
x²-49 is actually written in the difference of squares formula, which is a²-b²=(a+b)(a-b)
In this case, x² and 49 represent a² and b², so we'll need to find a and b
For x², we need to find which number or variable multiplies itself to equal x²; in this case, it will be x (x*x=x²)
For 49, we need to find which number multiplies itself to equal 49; in this case, it will be 7 (7 * 7 = 49)
Thus, a in this case is x, and b is 7
Now substitute these values into the formula.
(a+b)(a-b)= (x+7)(x-7)
Now set (x+7)(x-7) (which is x²-49, just expanded out) equal to 0
(x+7)(x-7)=0
Now using zero product property, split and solve:
x+7=0
subtract 7 from both sides
x=-7
x-7=0
Add 7 to both sides
x=7
Therefore, the answer is x = 7, x = -7 (there are 2 answers here that work!)
Hope this helps!
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What is the math answer 1/8 x 1/3?
Answer:
1/8 x 1/3 = 1/24 :)
Step-by-step explanation:
Answer:
1/24
Step-by-step explanation:
take
1/8 x 1/3
so 1x1 = 1
1/
then 8x3=24
1/24
posting one last time, please help
Answer:
[tex]f^{-1}(x)=\sqrt{x+1}-3[/tex]
Step-by-step explanation:
We have the function:
[tex]f(x)=y=x^2+6x+8[/tex] with the domain restriction [tex]\{x\geq -3\}[/tex].
And we want to find the inverse of our function.
To find the inverse of our function, we take the following steps:
1) Swap x and y. 2) Solve for y.Therefore, our inverse will be:
[tex]x=y^2+6y+8[/tex]
First, let's subtract 8 from both sides. So:
[tex]x-8=y^2+6y[/tex]
To solve for y, we can complete the square. To complete the square, we:
1) Divide the coefficient of the b term by 2. 2) Square that. 3) Add that number to both sides.Our b term is 6. [tex]6/2=3[/tex], and [tex]3^2=9[/tex]. So, we will add 9 to both sides. This yields:
[tex](x-8)+9=(y^2+6y+9)[/tex]
Simplify the left. Complete the square on the right. So:
[tex]x+1=(y+3)^2[/tex]
Take the square root of both sides and solve for y:
[tex]y+3=\sqrt{x+1}\Rightarrow y=\sqrt{x+1}-3[/tex]
Subtract 3 from both sides. So, our inverse is:
[tex]f^{-1}(x)=\sqrt{x+1}-3[/tex]
Part 2)
See below for graph.
Here is also a good time to reinforce the idea of inverses. Notice that the domain of our original function f(x) is [tex]x\geq-3[/tex]. So, this means that the range of f(x) is (looking at the graph) is [tex]y\geq-1[/tex].
When we find the inverse, we will flip the domain and range. Therefore, the domain of our inverse function will be the range of our original function, and the range of our inverse function will be the domain of our original function.
From the graph, we can see that f⁻¹(x) has a domain of [tex]x\geq-1[/tex] and a range of [tex]y\geq -3[/tex]. Therefore, their domain and range are indeed opposites.
And we're done!
Urgent help please..
Answer:
75-53=22
Step-by-step explanation: D is close to A so u have to minus 75-53 to get the number of degrees for d
Answer the question below!!! For brainliest!!
Answer:
4 students
Step-by-step explanation:
4 students are in the middle of the diagram, which means that they like all three colors evenly
Please help me ASAP ...
Answer:
statements is 1,3,7,8 and reasons are 2, 4, 5, 6
Step-by-step explanation:
Answer:
<4 ~= <8 - Corresponding Angles Theorem
<2 ~= <8 - Alternate Exterior Angles Theorem
<2 ~= <4 - Vertical Angles Theorem
line I || line m - Transitive Property
Please help me out And show work
Answer:
D
Step-by-step explanation:
because 4 quarters is 100 and 3 quarters is 75 so 4 and 3 quarters is 7 quarters and that would give you 175 so if you add both 200 and 175 that gives you 375
Which of these is the absolute value parent function?
O A. f(x) = |x-1|
O B. f(x) = |3x|
O C. f(x) = |X|
O D. f(x) = |x|+ 2
Answer:
option 'C' is the correct one or parent function of linear.
3(2x+1)+7=6x-3-2(2-4x)
What is x?
Give as an improper fraction in its simplest form
Answer:
Step-by-step explanation:
Use distributive property:a*(b +c) = (a*b) + (a*c)
3(2x + 1) + 7 = 6x - 3 - 2(2-4x)
3*2x + 3*1 +7 = 6x - 3x -2*2 + (-2)*(-4x)
6x + 3 + 7 = 6x - 3 - 4 + 8x
6x + 10 = 14x - 7
6x - 14x = - 7 - 10
-8x = -17
x = -17/-8
x = 17/8
PLSS HELPP
Two numbers a and b are in the ratio 3 : 4. If the first number is decreased by 4 and the second is decreased by 2, they are in the ratio 2 : 3. Find a and b.
a =
b=
The value of a = 24 and b = 32. Let the original numbers be 3x and 4x since they are in the ratio 3 : 4.
Step 1: Form the new ratios after the given decreases.
The first number decreased by 4 becomes 3x - 4, and the second number decreased by 2 becomes 4x - 2. The new ratio is 2 : 3.
Step 2: Set up the equation based on the new ratios.
We have the following equation based on the new ratios:
(3x - 4) / (4x - 2) = 2 / 3
Step 3: Solve the equation for x.
To solve the equation, we can cross-multiply:
3(3x - 4) = 2(4x - 2)
Expand and simplify:
9x - 12 = 8x - 4
Now, isolate the variable on one side:
9x - 8x = 12 - 4
x = 8
Step 4: Find the values of a and b.
Now that we have the value of x, we can find the values of a and b:
a = 3x = 3 * 8 = 24
b = 4x = 4 * 8 = 32
So, a = 24 and b = 32.
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URGENT!!! Please help me
WILL MARK BRAINLIEST
Answer:
what thing i help you
Step-by-step explanation:
what question
what is 6/3 + -1/6 in simplest form?
i really need help! please explain the steps if you can as well!:)
Answer:
this would be 12/6+(-1/6)
Step-by-step explanation:
if you want to solve it would be 11/6, or "1 5/6ths"
we need to first find the common denominator, which is 6, but since we multiplied the bottom by 2, we multiply the top by 2. next we just subtract the values, and i put the 1 because there is only one "6" that goes in to the bottom ,and 5 is left over.
please mark as brainlest.
if f(x)=2x+1, what would be the first step to find f(1)
Answer:
We are given a defined function: f(x) = 2x + 1. This function is the same as saying y = 2x + 1 (y and f(x) are used interchangeably and are the same value - just a different way of representing it). Because we want to find f(1), math states that if you replace one variable with a value, you must replace all of the same variables with that value. Because of this, if we change f(x) to f(3x), we are declaring that the variable x has a value of 3x. Or, if we were to change f(g) to f(3g + 4), we would then be replacing the g's in the function with 3g + 4.
Using these examples, we can the find the value of f(1). We would simply replace the x-values in the function with the value of 1 and then take any operations necessary - be sure to use PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.
[tex]f(x) = 2x + 1\\\\f(1) = 2(1) + 1\\\\f(1) = 2 + 1\\\\f(1) = 3[/tex]
Therefore, the first step to solve the problem would be to replace the x-values in the equation with the value of 1. From there, you would simplify your equation and find what the value of the function is if evaluated at f(1).
Hope this helps! :)
Three months later some vehicles were sold and new models have been brought into the Liberty Bike Shop. Now, there are a different number of bicycles, tandem bicycles, and tricycles in the shop. There are a total of 135 seats, 118 front handlebars (that steer the bike), and 269 wheels.
Answer:
There 68 bicycles , 33 tricycles and 17 Tandem bicycles
Step-by-step explanation:
Let B be the no. bicycles , TB be the no. of tandem bicycles and C be the no. of tricycles
No. of seats in 1 bicycle = 1
No. of seats in B bicycle = B
No. of seats in 1 Tandem bicycle = 2
No. of seats in TB Tandem bicycle = 2TB
No. of seats in 1 Tricycle = 1
No. of seats in C Tricycle = C
We are given that There are a total of 135 seats
So, B+2TB+C=135 ----1
Similarly
There are total 118 front handlers
So,1B + 1TB + 1C = 118 ----2
There are total 269 wheels
So,2B + 2TB + 3TR = 269
Substract 1 from 2
B+2TB+C-B-TB-C=135-118
TB=17
Adding 1 and 2 and substracting from 3
[2 - (1+1)]B + [2- (2+1)]TB + [3- (1+1)]C = 269-253
- 1x17 +C= 16
C= 16 + 17 = 33
Replacing in eq. 32
1B + 17 + 33 = 118
B = 118 - 17 - 33 = 68
Hence There 68 bicycles , 33 tricycles and 17 Tandem bicycles
Brainliest will be named if answer is correct
Answer: Choice D)
6 unit cubes and 18 smaller cubes of volume 1/27 cubic inches
=========================================================
Explanation:
Block A = unit cube that has side length of 1 inch
Block B = cube that has side length 1/3 inch
Block B has a volume of (1/3)*(1/3)*(1/3) = 1/27 cubic inches
If we have 180 of block B, then
180*(1/27) = 180/27 = 6.6667 approximately
The first 6 before the decimal point tells us we have 6 block A's. This is the same as saying that we have 6 cubic inches so far.
The 0.6667 at the end means we have 0.6667*27 = 18.0009 = 18 block B's
So we have 6 unit cubes (block A) and 18 smaller cubes (block B) that have a volume of 1/27 cubic inches
--------------
Another way to look at it
180/27 = (162+18)/27
180/27 = 162/27+18/27
180/27 = 6+18/27
180/27 = 6 remainder 18
The last line can also be found through using long division.
The 6 refers to 6 unit cubes and the remainder 18 is the left over 18 smaller blocks.
starting at (0,0 0 if you were to go 10 units left and 6 units up what coordination would you end up a
Answer:
(-10, 6)
Hope this helps! Please mark Brainliest!
Need help ASAP
A book has 13 chapters. The mean length of the chapters is 42 pages. How many total pages are there in the 13 chapters?
Answer:
546 pages
Step-by-step explanation:
the mean is the average .So just multiply the number of pages by chapters.
1×42 for 1 chapter = 42 pages a chapter
thterefore 13×42 for 13 chapters = 546 pages
(7, 1) and (x, 4); m = 3/4
missing value
50 POINTS
Answer:
x = 11
Step-by-step explanation:
4 - 1 / x - 7 (simplify)
3 / x - 7 = 3/4 (multiply by x - 7)
3 = 3/4 (x - 7)
3 = 3/4x - 5.25 (add 5.25 to both sides)
8.25 = 3/4x (divide both sides by 8.25)
x = 11
sub into the formula to check:
4-1 / 11 - 7
3 / 4
Jane's company makes solid metal balls for various industrial uses. A customer wants lead balls that have a diameter of 6 in. If Jane must make 80 of these balls, how much lead will she need? Use 3.14 for , and do not round your answer.
Answer:
9043.2 inches³
Step-by-step explanation:
the volume of a sphere is (4÷3)πr³
the radius is 6÷2=3
so each ball needs (4÷3)(3.14)(3)³=113.04 inches³ of lead
113.04×80=9043.2
Isabella has found that she stays the fittest by running various distances and terrains throughout the week. On Mondays she runs 2.5 miles, on Tuesdays 4.6 miles, on Thursdays 6.75 miles, and on Saturdays 4.8 miles. What is the average distance Isabella runs on each of the days that she runs? Round to the nearest hundredth of a mile
Answer:
4.59milesStep-by-step explanation:
Given that the total number of days she run is
monday, tuesday, thursday, saturday= 4
and the number of miles is
2.5,4.6,6.75,4.8
the total number of miles is
2.5+4.6+6.75+4.8=18.35 miles
the average is given as = total miles/number of days
average= 18.35/4
average= 4.587
to the nearesth hundreth
average= 4.59miles
Lines a and b are perpendicular. The slope of line a is -2. What is the slope of line
b?
Answer:
[tex]\sf\boxed{ \sf \dfrac{1}{2} \ is \ the\ slope }[/tex]
If lines are parallel or tangent, the slope remains same.
[tex]\sf \large\boxed{\sf m_1 \rightarrow m_2}[/tex]
If lines are perpendicular or normal, the slope becomes negatively inverse
[tex]\sf \large\boxed{\sf m_1 \rightarrow -(\frac{1}{m_2} )}[/tex]
With this Here the line a is perpendicular to line b,
therefore using formula: [tex]\sf \large {-(\dfrac{1}{-2} )} \rightarrow \dfrac{1}{2}[/tex]
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A kite is made up of two isosceles triangles, KIT and KET, with the lengths shown. The top triangle of the kite, ΔKIT, is made from approximately 17 square inches of material. Isosceles triangles K I T and K E T are connected at side K T. The length of K T is 10 inches. The length of sides K E and E T are 8 inches. The lengths of sides K I and I T are 6 inches. Heron’s formula: Area = StartRoot s (s minus a) (s minus b) (s minus c) EndRoot How much material is used for the entire kite, quadrilateral KITE? Round to the nearest square inch. 31 square inches 34 square inches 48 square inches 62 square inches.
The material needed for the kite is the area of the kite
The amount of material needed for the entire kite is 48 square inches
How to determine the amount of materialThe given parameters:
KI =6 inches
ET = 8 inches
KT=10 inches
Area of ΔKIT = 17 square inches
Start by calculating the area of the bottom triangle using:
Area = 0.5 * Base * Height
So, we have:
Area = 0.5 * KI * KT
This gives
Area = 0.5 * 6 * 10
Area = 30
The amount of material used is then calculated as:
Material = Area of the bottom triangle + Area of ΔKIT
This gives
Material = 30 + 17
Material = 47
This is approximately 48
Hence, 48 square inches of material is used for the entire kite
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Answer:
The answer is 48 square inches or option C on EDG
Step-by-step explanation:
:)
Use the algebra tiles to model x – 2. Then choose the answer that describes the correct tiles. One blue x tile and two orange tiles one orange x tile and two blue – tiles one blue x tile and two blue – tiles one orange x tile and two orange tiles.
The correct statement which describe about the algerbric tile one orange x tile and two blue – tiles
What are algerbra tiles?
Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.
Given
Use the algebra tiles to model x -2.
Algebra tiles are square and rectangle-shaped tiles that represent numbers and variables.
Using algebra tiles provides a more visual way for us to solve our problems.
The correct statement which describe about the algerbric tile one orange x tile and two blue – tiles
Hence, the correct statement which describe about the algerbric tile one orange x tile and two blue – tiles
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Answer:
its B
Step-by-step explanation:
Ralph is leasing a car worth $24,000 for three years. his leasing company says that the car ralph is leasing will only be worth $16,000 at the end of his lease. approximately what percentage of the car’s original value will ralph need to pay as part of his lease?
The percentage of the car's original value will be 33%
We have given that the car was worth $24,000, being this the original value, after three years the car will be worth $16,000.
Therefore to find the percentage of the car’s original value will Ralph need to pay as part of his lease, We have to find the difference between the original value and the new value.
So the difference between the original value and new value is,
24,000-16,000= $8000.
What is the percentage?A percentage is a number or ratio expressed as a fraction of 100.
And the percentage can be calculated dividing the difference by the original value of the car.
[tex]\frac{8000}{24000}\times 100=33.3\%[/tex]
Therefore the percentage of the car's original value will be 33%
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8 is what percent of 2
Answer: 400%?
Step-by-step explanation: 2 is 1/4 of 8 which means to get from 2 you need to multiply it by 4, 1=1.00 which is 100% so it is 400%
Answer:
0.25 or 25%
Step-by-step explanation:
p x 8 = 2
= 2/8
Then turn this into a percent which is 25% hope this helped
The population of Happyland is 15. 8 Happys per acre. Exactly 553 Happys live in Happyland. How many acres is Happyland? Enter only a numerical value in the answer blank.
The total area of the Happyland or the total number of acre which is in Happyland is 35 acre.
How to find the population per acre?The population per acre is the total number of people lives in the area or place.
To find the population per acre, divide the total number of population lives in an area with total number of acre of that area.
The population of Happyland is 15.8 Happys per acre. Exactly 553 Happys live in Happyland.
Suppose there is total x acres in Happyland. Therefore, the population per acre can be given as,
[tex]15.8=\dfrac{553}{x}\\[/tex]
Solve it for x as,
[tex]x=\dfrac{553}{15.8}\\x=35\rm acre[/tex]
Hence, the total area of the Happyland or the total number of acre which is in Happyland is 35 acre.
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Please help me on this question
Answer:
Step-by-step explanation:
The sample space is just A, B, C, D, E, F.
The probability of choosing B, C, E can be found as follows:
There are 3 desired possibilities: picking B, picking C, or picking E.
There are 6 total possibilities (from the sample space)
So the probability is 3/6 = 1/2.
Multiplying startfraction 3 over startroot 17 endroot minus startroot 2 endroot endfraction by which fraction will produce an equivalent fraction with a rational denominator? startfraction startroot 17 endroot minus startroot 2 endroot over startroot 17 endroot minus startroot 2 endroot endfraction startfraction startroot 17 endroot startroot 2 endroot over startroot 17 endroot startroot 2 endroot endfraction startfraction startroot 2 endroot minus startroot 17 endroot over startroot 2 endroot minus startroot 17 endroot endfraction startfraction startroot 15 endroot over startroot 15 endroot endfraction
The faction expression with which it produces an equivalent fraction with a rational denominator is [tex]\dfrac{\sqrt{17}+\sqrt{2}}{5}[/tex].
What is a fraction number?A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.
We have the expression given below.
[tex]\dfrac{3}{\sqrt{17} - \sqrt2}[/tex]
Multiple and divide the expression by [tex]\sqrt{17} + \sqrt{2}[/tex]. Then we have
[tex]\dfrac{3}{\sqrt{17} - \sqrt2} \times \dfrac{\sqrt{17} + \sqrt2}{\sqrt{17} + \sqrt2}\\\\\\\dfrac{3(\sqrt{17} + \sqrt{2})}{(\sqrt{17})^2 - (\sqrt{2})^2}\\\\\\\dfrac{3(\sqrt{17} + \sqrt{2})}{17 - 2}\\\\\\\dfrac{3(\sqrt{17} + \sqrt{2})}{15}\\\\\\\dfrac{\sqrt{17} + \sqrt{2}}{5}[/tex]
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Answer:
b
Step-by-step explanation:
Peter scored 151515 goals during his second soccer season as a forward. He scored 666 fewer goals during his first season. The team as a whole scored 444 times as many goals as Peter during the two seasons. How many goals did the team score during the two seasons?
Answer:
96
Step-by-step explanation:
Total goals scored by peter in second season = 15
In first season he was said to have scored 6 fewer goals. 15-6 = 9
The team as a whole scored 4times as much as peter did.
Let's call the total number of goals peter scored , T
So t = 15 + 9 = 24
4 times as much as peter = 4 x T
= 4x24
= 96 goals in both seasons were scored by the team.