Answer:
Step-by-step explanation:
If we consider a triangle with the length of the hypotenuse being equal to 1 and the length of the opposite side = 3x.
However, recall that in a right-angle triangle;
SIne = opposite/hypothenuse
Thus; let the angle facing the opposite be y
Then;
SIn y = 3x/1
Sin y = 3x
Thus, y = arcsin (3x)
Now; to find cos(arcsin 3x)
Recall that:
Cosine = adjacent/hypotenuse
Now, using Pythagoras rule;
[tex]\mathsf{Adjacent \ side = \sqrt{(hypotenuse)^2 -(opposite^2)}}[/tex]
[tex]\mathsf{Adjacent \ side = \sqrt{(1)^2 -(3x^2)}}[/tex]
[tex]\mathsf{Adjacent \ side = \sqrt{1 -9x^2}}[/tex]
cos(arcsin 3x) = cos y = adjacent side/hypotenuse = [tex]\dfrac{\sqrt{1 -9x^2}}{1}[/tex]
cos(arcsin 3x) = [tex]\dfrac{\sqrt{1 -9x^2}}{1}[/tex]
Please help solve this please
Answer:
c
Step-by-step explanation:
hoped it helped you:)))
Is 5/6 larger or 2/3? Pls help.........
Answer:
yes 5/6 is bigger
Step-by-step explanation:
For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
9
Х
17
Johannes needs to buy replacement team uniform..
Answer:
D.
Step-by-step explanation:
Solve 2x2 - 126 = 0. Make sure to simplify if
necessary.
-122
sorry if i am wrong but have a good day<3
3. Determine the domain and range for each graph
(-inf, 1]
Step-by-step explanation:Personal comment
Sorry this took so long
In short, you had it flipped, always put your smallest value first and your largest value second.
Reason:
Interval notation is
[(minima, maxima)]
Which is basically saying the minimum and the maximum, and as such you always end up having the smallest value first.
Putting the reasoning together;
A negative is always less than a positive in practice, therefore, your negative infinity should go first.
Hope this helps :)
Use the information in the figure. Find m
Answer:
Its 32
Step-by-step explanation:
you need to get 180 degrees altogether
20 point if you get it right I’ll mark brainiest
Answer:
8 , - 4 , 1
Step-by-step explanation:
Coefficient of 8x³ = 8
Coefficient of (-4x²) = -4
Coefficient of x = 1
how many times does 4 go into 55
Answer:
13 times
Step-by-step explanation:
4 * 13 is 52 and 55 - 52 is 3 if you add 4 to 52 it would be 56 not 55
A 100 - sqaure grid has 70 shaded sqaures . Explain how you could express this model as a fraction , percent , and decimal.
Answer:
Would it be 70/100 as a fraction and 0.7 as a decimal and 70% as a percentage?
Step-by-step explanation:
If you have 100 squares and 70 of those squares are shaded, your answer would 70/100.
PLEASE HELP
This is due TODAY
Answer:
10) m = rise/run = 3/4 11) y = 2x - 3
Step-by-step explanation:
A rectangle with area 380 square inches has a length that is two less than four times the width. Find the length and the width of the rectangle.
The proportion 75/w = 150/100 can be used to find the whole 'w' when the part is 75. Will the 'w' be less than or greater than 75? Without solving, explain how you know. *
Answer:
w will be less than 75.
Step-by-step explanation:
Given the expression;
75/w = 150/100
We are to determine whether w is greater than or less than 75.
If you look at the right hand side of the expression, 150/100, you will see that the denominator is greater than the numerator. Due to the equality sign between the fractions, the same will be applicable to 75/w meaning that w will also be less than 75.
Evaluate 2 ∙ (8 + 4) using the steps of order of operations. plese due in 5 help
Answer:
24
Step-by-step explanation:
Do the equation in the () first, 8+4 = 12, and 12 x 2 = 24
2. Chaleah deposited 700$ in a new account that earns 5% simple interest. After 4 years,
how much interest will she have earned? How much total money will Chaleah have after
4 years
a. Interest:
b. Total:
Answer:
Interest earned: $150.85
Total amount: $850.86
Step-by-step explanation:
Y=700(1.05)^4
Put the right side of the equation into a calculator and get
850.85 that's your total, so to get the amount earned subtract the original 700 from it and get 150.85
Work out (4.32 x 10-5) = (7.5 x 10-8)
Give your answer in standard form.
Answer:
0=15-21.5
Step-by-step explanation:
21.5=15
0=15-21.5
To encourage new customers, a movie theater is offering different ways to pay for the movie.
Members pay a one time fee of $75 and then $2 per movie they watch.
Non-members pay $5.75 per movie they watch.
Answer:
Number of movies for equal wage = 20
Step-by-step explanation:
Assume;
Number of movies for equal wage = x
So,
75 + 2x = 5.75 x
3.75 x = 75
x = 75 / 3.75
x = 20
So,
Number of movies for equal wage = 20
A scale model drawing of a room is 4 centimeters wide and 12 centimeters long. The scale model uses a scale in which 2 centimeters represents 1.4 meters.
What is the area of the actual room?
11.76 m²
23.52 m²
33.6 m²
67.2 m²
♡ The Question ♡
A scale model drawing of a room is 4 centimeters wide and 12 centimeters long. The scale model uses a scale in which 2 centimeters represents 1.4 meters.
What is the area of the actual room?
* ୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
23.52 m² !
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
No Explanation/Step-By-Step provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No tips provided!
The actual area of the room will be 23.52 m².
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
Width of room = 4 cm
Length of room = 12 cm
And, The scale model uses a scale in which 2 centimeters represents 1.4 meters.
Now,
Since, The scale model uses a scale in which 2 centimeters represents 1.4 meters.
That is,
2 cm = 1.4 m
1 cm = 0.7 m
So, The width of room = 4 cm
= 4 x 0.7 m
= 2.8 m
And, The length of room = 12 cm
= 12 x 0.7 m
= 8.4 m
Thus, The actual area of room = Length x Width
= 8.4 x 2.8 m²
= 23.52 m²
Therefore, The actual area of the room will be 23.52 m².
Learn more about the multiplication visit:
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A number divided by 43 has a quotient of 3 with 28 as a remainder. Find the number.
The number when divided by 43 has a quotient of 3 with 28 as a remainder is 157
The number is 157
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number be = A
Now , the equation will be
A number divided by 43 has a quotient of 3 with 28 as a remainder
So , A / 43 = 3 + 28/43 be equation (1)
On simplifying the equation , we get
A / 43 = 3 + 28 / 43
A/43 = ( 3 x 43 + 28 ) / 43
Multiply by 43 on both sides of the equation , we get
A = 3 x 43 + 28
A = 129 + 28
A = 157
Therefore , the value of A is 157
Hence , The number when divided by 43 has a quotient of 3 with 28 as a remainder is 157
To learn more about equations click :
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In one weekend, a theatre sells 61,366 tickets to a new movie. Write the values for each of the 6s in 61,366.
The values of the 6s are
Answer:
60,000, 60, 6.
Step-by-step explanation:
just separate the numbers into sections and boom
Which list orders the numbers from least to greatest?
–2.6, 5.1, 0.8, –2.16, 0.58
0.58, 0.8, –2.16, –2.6, 5.1
–2.16, –2.6, 0.8, 0.58, 5.1
–2.16, –2.6, 0.58, 0.8, 5.1
–2.6, –2.16, 0.58, 0.8, 5.1
Answer:
-2.6,-2.16,0.58,0.8,5.1
Step-by-step explanation:
Trust me
Answer:
d
Step-by-step explanation:
PLZ HELP!!!!
A circle has a diameter of 5 inches show your work to find to fallowing (use 3.14 for pi) A) area of circle B) circumference of the circle
Answer:
Area:19.63
circumference:15.71
Step-by-step explanation:
A=πr2
d=2r
A=1/[tex]\frac{1}{4} \pi d^{2}[/tex]4π d2=1 4·π·52≈19.63495
C=2πr
d=2r
c=[tex]\pi[/tex]d=[tex]\pi[/tex]·5=15.70796
Answer:
I think its A) Fresh
Step-by-step explanation:
Srry if its wrong
What is the equation of the line that passes through the point (1,3) and has a slope of 6
awensr ex y=-x+6
Answer:
Y=6x+-3
Step-by-step explanation:
Deltamath
The segments shown below could form a triangle.
A. True
B. False
answer TRUE because they would make a triangle
can someone please solve this 5+2x=7+3x
Simplifying
2x + -7 = 3x + 5
Reorder the terms:
-7 + 2x = 3x + 5
Reorder the terms:
-7 + 2x = 5 + 3x
Solving
-7 + 2x = 5 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
-7 + 2x + -3x = 5 + 3x + -3x
Combine like terms: 2x + -3x = -1x
-7 + -1x = 5 + 3x + -3x
Combine like terms: 3x + -3x = 0
-7 + -1x = 5 + 0
-7 + -1x = 5
Add '7' to each side of the equation.
-7 + 7 + -1x = 5 + 7
Combine like terms: -7 + 7 = 0
0 + -1x = 5 + 7
-1x = 5 + 7
Combine like terms: 5 + 7 = 12
-1x = 12
Divide each side by '-1'.
x = -12
Simplifying
x = -12
Plz help. It was already due but I need to get it done so plz help me:(
Answer:
4 and 10 - acute
2 is acute, but 3 is obtuse
8 and 12 - acute
6 and 12 - acute
1 is obtuse 2 is acute
15 and 11 are obtuse
9 is obtuse but 8 is acute
2 and 4 are acute.
Step-by-step explanation:
I believe this is correct.
A right angle is a perfect corner. Think of a square and look at the corner, it doesn't go farther or shorter when it hits a side if you know what I mean by that. An acute angle is shorter than a right angle, or stops before it can be called a right angle. An obtuse angle is bigger than a right angle, or ends after the right angle point. I hope what I have just said here helps you with future problems!! Good luck :))
Solve.
5.5 x 105
2.5 x 104
Answer:
5.5 x 105 = 577.5
2.5 x 104 = 160
Step-by-step explanation:
Step-by-step explanation:
5.5×104=577.5
2.5×104=206
10. Rob used 4.25 ounces of peanuts, 3.4 ounces of pecans, and 2.75 ounces of walnuts to make a trail mix. How many ounces of nuts did Rob use in the trail mix? 10.4
Answer:
10.4
Step-by-step explanation:
4.25 +3.4 + 2.75
Consider the equation and the following ordered pairs: (-2,y) and (x,1).
y = -2x + 3
Billy has 300 candy bars. He eats 43. What does billy have left?
Answer:
Bill will have 257 candy bars left!
Step-by-step explanation:
just do 300 - 43