Answer:
Step-by-step explanation:
Because there is sound and a tune that plays again anytime people are shown having fun at the carnival, the Kit Kat commercial is effective. When the sound is silenced, the commercial's lyrics will come to the viewer's thoughts without any further thought.
In a given right triangle, If 0 º < x < 90 º and cos x = √ 3 / 2, then sin x = ?
Answer:
1/2
Step-by-step explanation:
The "Pythagorean relation" between trig functions can be used to find the sine.
Pythagorean relationThe relation between sine and cosine is the identity ...
sin(x)² +cos(x)² = 1
This can be solved for sin(x) in terms of cos(x):
sin(x) = √(1 -cos(x)²)
ApplicationFor the present case, using the given cosine value, we find ...
sin(x) = √(1 -(√3/2)²) = √(1 -3/4) = √(1/4)
sin(x) = 1/2
__
Additional comment
The sine and cosine of an angle are the y and x coordinates (respectively) of the corresponding point on the unit circle. The right triangle with these legs will satisfy the Pythagorean theorem with ...
sin(x)² + cos(x)² = 1 . . . . . . where 1 is the hypotenuse (radius of unit circle)
A calculator can always be used to verify the result.
Trigonometry Question
Which solution finds the value of x in the triangle below?
A right triangle is shown. The hypotenuse has a length of 8. Another side has a length of x. The angle between the hypotenuse and the other side is 60 degrees.
Secant 60 degrees = StartFraction 8 Over x EndFraction. 2 = StartFraction 8 Over x EndFraction. 2 x = 8. x = 4.
Cosecant 60 degrees = StartFraction 8 Over x EndFraction. StartFraction 2 StartRoot 3 EndRoot Over 3 EndFraction = StartFraction 8 Over x EndFraction. x times 2 StartRoot 3 EndRoot = 24. x = StartFraction 24 Over 2 StartRoot 3 EndRoot EndFraction. x = StartFraction 12 Over StartRoot 3 EndRoot EndFraction times StartFraction StartRoot 3 EndRoot Over StartRoot 3 EndRoot EndFraction. x = StartFraction 12 StartRoot 3 EndRoot Over 3 EndFraction. x = 4 StartRoot 3 EndRoot.
Secant 60 degrees = StartFraction 8 Over x EndFraction. One-half = StartFraction 8 Over x Endfraction. x = 16
Cosecant 60 degrees = StartFraction 8 Over x EndFraction. StartFraction StartRoot 3 EndRoot Over 2 EndFraction = StartFraction 8 Over x EndFraction. x times StartRoot 3 EndRoot = 16. x = StartFraction 16 Over StartRoot 3 EndRoot EndFraction. x = StartFraction 16 Over StartRoot 3 EndRoot EndFraction times StartFraction StartRoot 3 EndRoot Over StartRoot 3 EndRoot EndFraction. x = StartFraction 16 StartRoot 3 EndRoot Over 3 EndFraction.
The value of x in the triangle is 4
How to determine the solutions?The complete question is added as an attachment
From the question, the given parameters are as follows:
Hypotenuse = 8
Adjacent = x
Angle = 60
The cosine of the angle is then calculated as:
cos(angle) = Adjacent/Hypotenuse
Substitute the known values in the above equation
cos(60) = x/8
Multiply both sides by 8
x = 8 * cos(60)
Evaluate the product
x = 4
Hence, the value of x in the triangle is 4
So, the complete parameters are:
Hypotenuse = 8
Adjacent = x
Angle = 60
x = 4
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Answer:
Secant 60 degrees = StartFraction 8 Over x EndFraction. 2 = StartFraction 8 Over x EndFraction. 2 x = 8. x = 4.
Step-by-step explanation:
The answer above is correct.
A written contract is not legally binding until _____. a. money is exchanged b. it is signed by all parties involved c. all requirements of the contract have been fulfilled d. it is signed by all parties involved and notarized by an authorized notary official please select the best answer from the choices provided a b c d
Answer: Answer is B, Mark me brainliest please
Step-by-step explanation:
Twenty-four $4$-inch wide square posts are evenly spaced with $5$ feet between adjacent posts to enclose a square field, as shown. What is the outer perimeter, in feet, of the fence? Express your answer as a mixed number.
Answer:
129 1/3 is the answer
Simplify the expression. c–6 • 2c7
The answer is 2c.
Applying the Law of Exponents,
c⁻⁶ x 2c⁷2c⁷⁻⁶2cConvert 2 ounces into grams. Round your answer to the nearest whole number
Answer: 57
I'm pretty sure that's what it is
Step-by-step explanation:
I need help with this question
Answer:
2.72 / 16 x 28 = $4.76
Step-by-step explanation:
Since they give you $2.72 for 16 ounces you put in:
2.72 / 16 x 28 = $___
Then you just solve it to get $4.76:
2.72 / 16 = 0.17
0.17 x 28 = 4.76
Consider the line 4x + 2y = 8.
What is the slope of a line perpendicular to this line?
m1 x m2 = - 1
Rearrange 4x + 2y = 8.
4x + 2y = 8
-4x, then ÷ 2
y = - 4x + 8 / 2
y = - 2x + 4
m1 = - 2, find reciprocal of - 2, by placing 1 over the 2
So, - 2 will become - 1/2, but multiplying this gives us a positive 1. Thus, m2 = 1/2
m1 x m2 = - 1
-2 x 1/2 = - 1
That means slope perpendicular to the line
4x + 2y = 8 is y = 1/2x, where a half is the gradient/slope.
Ans: 1/2
Hope this helps!
Find how many matches Peter won. plss answwer (ಥ _ ಥ)
Answer:
10 is the right answer...
Step-by-step explanation:
thanks
mark me as brainlist....
A train arrived at the station. If you count cars starting from the first one, the dining car is th 7th in the row. If you count cars starting from the last one, then the dining car is the 8th in a row. How many cars are there in this train?
Answer:
15
Step-by-step explanation:
from the first then it is 0+7=7
and from the last it is 0+8=8
then the number of cars available in the station is 8+7=15
Answer each question and tell your reasoning.
a. Is 60% of 400 equal to 87?
b. Is 60% of 200 equal to 87?
c. Is 60% of 120 equal to 87?
2. 60% of x
is equal to 87. Write an equation that expresses the relationship between 60%, x
, and 87. Solve your equation.
Equation:
x=
3. Write an equation to help you find the value of each variable. Solve the equation.
60% of c
is 43.2.
Equation:
c=
38% of e
is 190.
Equation:
e=
Answer:
Step-by-step explanation:
400*60% can be rewriten as 400×0.6 which is 240, so a is false.
the same steps can be repeated for b and c
b) 200*0.6=120, therefore is false
c) 120*0.6=72, therefore is false
2)
[tex]60 percent * x=87\\0.6x=87\\x=\frac{87}{0.6} \\\\x=145[/tex]
Now we check the answer by using the same steps in problems a,b,c
[tex]145*0.6=87\\87=87[/tex]
3)
[tex]0.6c=43.2\\c=\frac{43.2}{0.6} \\c=72[/tex]
and finally
[tex]0.38e=190\\e=\frac{190}{0.38} \\e=500[/tex]
What is the unit rate of the proprrional relationship represented by the equation y=3x
The unit rate of the proportional relationship y = 3x is 3
How to determine the unit rate?The proportional relationship is given as:
y = 3x
Divide both sides by x
y/x = 3
For a proportional relationship y/x = k;
The unit rate is 3
This means that the unit rate of the proportional relationship y = 3x is 3
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what value ofx is in the solution set of 3(x-4)>5x +2?
[tex]\boldsymbol{\sf{3(x-4) > 5x +2 }}[/tex]
Use the distributive property to multiply 3 by x−4.
[tex]\boldsymbol{\sf{3x-12 > 5x+2 }}[/tex]
Subtract 5x on both sides.
[tex]\boldsymbol{\sf{3x-12-5x > 2 } }[/tex]
Combine 3x and −5x to get −2x.
[tex]\boldsymbol{\sf{-2x-12 > 2 }}[/tex]
Add 12 to both sides.
[tex]\boldsymbol{\sf{-2x > 2+12 \ \longmapsto \ \ [Add \ 2 +12]}}[/tex]
[tex]\boldsymbol{\sf{-2x > 14}}[/tex]
Divide both sides by −2. Since −2 is < 0, the inequality direction is changed.
[tex]\boldsymbol{\sf{x < \dfrac{14}{-2} \ \ \longmapsto \ \ \ [Split]}}[/tex]
[tex]\boxed{\boldsymbol{\sf{x < -7 }}}[/tex]
So in the inequality 3(x-4)>5x +2, the value of x is -7.
ヘ( ^o^)ノ\(^_^ )If you want to learn more about mathematics, I share this link to complement your learning:
https://brainly.com/question/17070130Use part 1 of the fundamental theorem of calculus to find the derivative of the function. g(x) = x t3 t5 dt 0
Using the fundamental theorem of calculas the derivative of function g(x)=[tex]xt^{3}+t^{5}[/tex] at x=0 is [tex]t^{3}[/tex].
Given a function g(x)=[tex]xt^{3}+t^{5}[/tex].
We are required to find the derivative of the function g(x) at x=0.
Function is relationship between two or more variables expressed in equal to form. The values entered in a function are part of domain and the values which we get from the function after entering of values are part of codomain of function. Differentiation is the sensitivity to change of the function value with respect to a change in its variables.
g(x)=[tex]xt^{3}+t^{5}[/tex]
Differentiating with respect to x.
d g(x)/dx=[tex]t^{3}[/tex]+0 [Differentiation of x is 1 and differentiation of constant is 0]
=[tex]t^{3}[/tex]
Hence using the fundamental theorem of calculas the derivative of function g(x)= [tex]xt^{3}+t^{5}[/tex] at x=0 is [tex]t^{3}[/tex].
The function given in the question is incomplete. The right function will be g(x)=[tex]xt^{3}+t^{5}[/tex].
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.
A regular octagon has side lengths of 8 centimeters. what is the approximate area of the octagon?
Answer:309
Step-by-step explanation:
Over a period of 3 hours, the outside temperature changed an average of -2.250 Fahrenheit per hour. Which statement correctly describes the change in temperature from the beginning the end of the 3-hour period?
A.
The temperature decreased by 6.75 degrees Fahrenheit.
B.
The temperature increased by 0.75 degrees Fahrenheit.
C.
The temperature increased by 6.75 degrees Fahrenheit.
D.
The temperature decreased by 0.75 degrees Fahrenheit.
Answer: A
Step-by-step explanation: The question states that the change wasn't a positive one, it was a negative one as it states that the temperature changed an average of -2.250 Fahrenheit per hour. So, we multiply that by 3 to get -6.75. This is why A is correct.
HElp meee mwa mwa mwa
Answer:
[tex]a = 1, \ - 3[/tex]
Explanation:
[tex](a-6)(a+8) = -45[/tex]
distribute
[tex]a^2 + 8a - 6a - 48 = -45[/tex]
collect terms
[tex]a^2 + 8a - 6a - 48 + 45=0[/tex]
simplify
[tex]a^2 + 2a - 3=0[/tex]
factor
[tex](a - 1)(a + 3)= 0[/tex]
set to zero
[tex]a = 1, \ - 3[/tex]
Answer:
a = 1, -3
Step-by-step explanation:
Given equation:
[tex](a-6)(a+8)=-45[/tex]
Expand the brackets:
[tex]\implies a^2+8a-6a-48=-45[/tex]
[tex]\implies a^2+2a-48=-45[/tex]
Add 45 to both sides:
[tex]\implies a^2+2a-48+45=-45+45[/tex]
[tex]\implies a^2+2a-3=0[/tex]
To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].
Two numbers that multiply to -3 and sum to 2 are: 3 and -1.
Rewrite the middle term as the sum of these two numbers:
[tex]\implies a^2+3a-a-3=0[/tex]
Factorize the first two terms and the last two terms separately:
[tex]\implies a(a+3)-1(a+3)=0[/tex]
Factor out the common term (a + 3):
[tex]\implies (a-1)(a+3)=0[/tex]
Apply the zero product property:
[tex]\implies (a-1)=0 \implies a=1[/tex]
[tex]\implies (a+3)=0 \implies a=-3[/tex]
Verify the solutions by inputting the found values of a into the original equation:
[tex]a=1 \implies (1-6)(1+8) & =-5 \cdot 9 = -45[/tex]
[tex]a=-3 \implies (-3-6)(-3+8) & =-9 \cdot 5 = -45[/tex]
Hence both found values of a are solutions of the given equation.
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What is the interquartile range of the set of data this box-and-whisker plot represents?
Answer:
3
Step-by-step explanation:
The interquartile range is where the 2nd and 5th dots are, on the opposite ends of the square, from 15-18.
Answer:
3
Step-by-step explanation:
The interquartile range (IQR) is the difference between the upper quartile (Q₃) and the lower quartile (Q₁).
In a box plot:
The left edge of the box represents the lower quartile.The right edge of the box represents the upper quartile.From inspection of the given box plot:
lower quartile (Q₁) = 15upper quartile (Q₃) = 18Therefore:
IQR = Q₃ - Q₁
= 18 - 15
= 3
So the interquartile range of the given box plot is 3.
The ordered pair that is a solution of the equation y = | - 3x + 3 | is:
(r, 24)
(7,0)
(7, - 18)
( 7,18)
Answer:
The answer would be (7, 18)
Step-by-step explanation:
The answers simple,
in the equation y=|-3x+3|
x and y would be said like this (x,y). just like the answer choices
now in the first option, x is R, so i couldn't understand that. so I'm gonna skip that.
in the second one, (7,0) would no work as
0=|-3(7) + 3|
0=|-21+3|
0=|-18|
and since "|" is absolute value, meaning that instead of the number being negative or positive the number will just be translated into how much distance is from the number and 0, or just make the number positive.
lets continue,
0=18, so (7,0)
the second one, (7,-18)
-18=|-3(7)+3|
-18=|-18|
again, its absolute value so
-18=18, so it still doesn't work
the last one, (7,18)
18=|-3(7)+3|
18=|18|
18=18
so (7,18) would work.
This design is made from 1 blue circle, 4 orange circles and 16 green circles. The circles touch each othe Given that the radius of each green circle is I unit, find the exact radius of a the orange circles, b the blue circle.
The radius of the orange circle is 1.5 unit and the radius of the blue circle is 2.25 units
How to determine the radii of the circles?The figure that completes the question is added as an attachment
The orange circle
The radius of the green circle is given as:
r = 1
One and half green circle make up the radius of the orange circle.
So, the radius of the orange circle is
R = 1.5 * r
This gives
R = 1.5 * 1
R = 1.5
Hence, the radius of the orange circle is 1.5 unit
The blue circle
The radius of the orange circle is given as:
r = 1.5
One and half orange circle make up the radius of the blue circle.
So, the radius of the blue circle is
R = 1.5 * r
This gives
R = 1.5 * 1.5
R = 2.25
Hence, the radius of the blue circle is 2.25 units
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What is the solution to the system of equations?
[tex](\frac{3}{2},\frac{5}{2})[/tex]
Step-by-step explanation:The first equation can be rearranged by subtracting y from both sides. This gives you x = 4 - y.
The second equation is x = y - 1
Therefore, as both equations are equal to x, you can say that they are equal to each other, so 4 - y = y - 1.
If you add 1 to each side, you get 5 - y = y
If you add y to each side, you get 5 = 2y
Divide both sides by 2 to get y = 5/2
Now you can substitute 5/2 for y. For example, the second equation becomes x = 5/2 - 1
x is therefore 3/2
This can be written as [tex](\frac{3}{2},\frac{5}{2})[/tex], which is the final answer.
A gardener uses 1/3 of a liter of water to water 2/7 of a garden.
1 1 / 6 litres of water is needed to watering the entire garden at the given rate.
How to find the amount of water using rate?We need to find how many litres of water is needed to watering the entire garden at this rate.
Let the total garden be x parts then,
Therefore,
2 / 7 x = 1 / 3
cross multiply
2x × 3 = 7
6x = 7
divide both sides by 6
6x / 6 = 7 / 6
x = 1 1 / 6
Therefore, Thus, 1 1 / 6 litres of water is needed to watering the entire garden at the given rate.
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PLEASE HELP IM STUCK PLS
Answer: (-1, 1)
Step-by-step explanation:
Method 1: GraphingSince the graph is already given, we could directly refer to the intersecting point of the system of equations.
According to the graph, [ y = 2x + 3 ] and [ y = -x ] intersect at (-1, 1).
Therefore the solution is [tex]\Large\boxed{(-1,1)}[/tex]
Method 2: SubstitutionGiven equation
1) y = 2x + 3
2) y = -x
Substitute the y value in the 1) equation by the 2)
(-x) = 2x + 3
Add x on both sides
-x + x = 2x + 3 + x
0 = 3x + 3
Subtract 3 on both sides
0 - 3 = 3x + 3 - 3
-3 = 3x
Divide 3 on both sides
-3 / 3 = 3x / 3
x = -1
Substitute the x value into one of the equations to find the y value
y = -x
y = - (-1)
y = 1
Therefore, the solution is [tex]\Large\boxed{(-1,1)}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Simplify these expressions
4. 9a+7-2a+13=
5. 21-3b+5b-7=
6.3c squared + 8c squared - 15=
Answer:
4) 7a+20
5) 14+2b
6) 25c² - 15
Step-by-step explanation:
4) 9a+7-2a+13= 9a-2a+7+13 = 7a+20
5) 21-3b+5b-7= 21-7+5b-3b = 14+2b
6) (3c)² + (8c)² - 15 = 9c² + 16c² - 15 = 25c² - 15
Geometry: fill in the blanks, ASAP! It’s urgent
Answer:
3. 125
4. 115
5. m<1 = 70, m<2 = 55, m<3 = 55
6. m<2 = 50, m<3 = 50, m<4 = 80, m<6 = 130
the price of a video game was reduced from 60 to 45. by what percentage was the price of the video game reduced
The percentage reduction of the price of the video game from 60 to 45 was 25%.
What is the percentage reduction?The percentage reduction refers to the fractional reduction in the price of the video game.
This implies that a percentage is a fraction of a value. Percentages are calculated over 100.
A percentage is, therefore, a number or ratio expressed as a fraction of 100, often denoted using the "%" sign.
Data and Calculations:The old price of the video game = 60
The new price of the video game = 45
Reduction in price = 15 (60 - 45)
Percentage reduction = 25% (15/60 x 100)
Thus, the percentage reduction of the price of the video game from 60 to 45 was 25%.
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Akira and her puppy are both dressing up as superheroes for Halloween this year. Akira needs 1 yard of cloth for her cape. She also needs 1 foot of cloth for her puppy's cape. How many feet of cloth should she buy for their capes?
The feet of cloth that she should buy for the capes is 4 feet.
How many feet should she buy?
The mathematical operations that would be used to determine the answer are addition and multiplication.
Addition is the process of summing two or more numbers together. Multiplication is the process of determining the product of two or more numbers.
The first step is to convert yard to feet
According to the unit of conversion : 1 yard = 3 feet
1 x 3 = 3 feet
The second step is to add the feet needed for Akira's cape with the foot needed for the puppy's cape
Total feet needed = 3 + 1 = 4 feet
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What is the perimeter of kite OBDE?
12 units
22 units
38 units
58 units
By definition of perimeter, direct observation and Pythagorean theorem, the perimeter of kite OBDE is 38 units. (Correct choice: C)
How to determine the perimeter of a kite OBDE
In geometry, the perimeter is the sum of the lengths of the sides of a figure. Herein we must determine the perimeter of a quadrilateral, the kite OBDE, that is, the sum of the lengths of its four sides:, which can be found both by direct observation or by the use of the Pythagorean theorem.
Please notice that the quadrilateral has an axis of symmetry passing through the points O and D, which implies that OB = OE and BD = DE. The length of sides BD and DE is 6 units and the length of the sides OB and DE are:
OB = DE = 0.5 · √(24² + 10²)
OB = DE = 13
Lastly, the perimeter of kite OBDE is p = 2 · 6 + 2 · 13 = 38 units.
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Answer: C. 38 units
Step-by-step explanation: TRUST ME!!! Answer is correct on Edge!!! :)
Just did it and got it correct!
Identify the area of the figure rounded to the nearest tenth.
Answer:
91.5[tex]cm^{2}[/tex]
Step-by-step explanation:
The area of the rectangle:
a = lw
a =(21)(3) = 63
The area of the square:
a = lw
a = (5)(5) = 25
The area of a half circle:
a=[tex]\frac{\pi r^{2} }{2}[/tex]
a= [tex]\frac{3.14(1.5^{2}) }{2}[/tex]
a = [tex]\frac{3.14(2.25)}{2}[/tex]
a = [tex]\frac{7.065}{2}[/tex]
a = 3.5 rounded to the nearest tenth
63 + 25 + 3.5 =91.5