Answers
Answer:
Only the second equation is an identity
Step-by-step explanation:
[tex]$8 \frac{\tan^2(\theta)}{\sec(\theta)} \csc^2(\theta)=8 \csc(\theta)$[/tex]
Note that
[tex]\tan^2(\theta)\csc^2(\theta)=\sec^2(\theta)[/tex]
You can confirm it:
[tex]$\frac{\sin^2(\theta)}{\cos^2(\theta)}\cdot \frac{1}{\sin^2(\theta)}= \frac{1}{cos^2(\theta)}= \sec^2(\theta)$[/tex]
Therefore
[tex]$8 \frac{\sec^2(\theta)}{\sec(\theta)} =8 \csc(\theta)$[/tex]
[tex]$8 \frac{\sec(\theta)}{1} =8 \csc(\theta)$[/tex]
[tex]8\sec(\theta)=8\csc(\theta)[/tex]
It is not an IdentityLet's the second one
[tex]$13 \frac{\tan^2(\theta)}{\sec(\theta)} \csc^2(\theta)=13\sec(\theta)$[/tex]
In this case, we already performed the calculations, so it is true. It is an Identity.
Related Questions
What is the value of 2 StartRoot 6 + p EndRoot minus 3 p cubed when p = negative 2 -32 -16 32 56
Answers
Answer:
C
Step-by-step explanation:
2|6+p|-3p³,
when p=-2
2|6+p|-3p³=2|6-2|-3(-2)³
=2(4)-3(-8)
=8+24
=32
Answer:
C
Step-by-step explanation:
Just took the test on edg
PLEASE ANSWER! FIRST CORRECT ANSWER GETS BRAINLIEST!
Answers
Answer:
The answer should be 20.
Step-by-step explanation:
First, you need to understand the abbreviated list: PEMDAS. I'm not sure if you guys learned this or not, but it helps to know when solving problems like this.
So, if you don't know: PEMDAS is a list of what order you would need to start with when solving a problem. The order is Parentheses, Exponents, Multiplication, Division, Addition and Subtraction.
With that in mind, we'll start by looking at the numbers in the numerator of this fraction. (Doesn't matter if you start with the numerator or denominator first.)
You want to start with the numbers in the parentheses as that is the first letter in the PEMDAS phrase.
[tex](7-6.35) = 0.65[/tex]
Now, we have division and an addition sign next. According to PEMDAS, you want to start with Division before you Add. So, you will end up having a 10 in the numerator. (I'm assuming you can use a calculator for this, so I'm not showing how to divide the decimals.)
[tex]\frac{(0.65)}{6.5}+9.9=0.1+9.9 =10[/tex]
Save that number somewhere for now since we will have to come back to it later. For the denominator, we have a set of parentheses that the problem wants us to focus on so, ignore the [tex]7\frac{1}{24}[/tex] for now.
Start with the first set of numbers that have the division sign in between.
[tex]\frac{1.2}{36} =0.03333[/tex]
Don't add just yet after getting this number. You want to divide the 1.2 and [tex]\frac{1}{4}[/tex] since Division needs to be done first before Adding or Subtracting.
[tex]\frac{1.2}{\frac{1}{4} }=4.8[/tex]
The resulting numbers in the parentheses should look like this now (we're still ignoring the [tex]7\frac{1}{24}[/tex] at the end after the parentheses):
[tex](0.03333+4.8-1\frac{5}{16})=3.520833333[/tex]
This expression is also the same as this if you wanted to change the fraction at the end of the parentheses:
[tex](0.03333+4.8-\frac{21}{16})=3.520833333[/tex]
Now you can finally take this number and divide it by [tex]7\frac{1}{24}[/tex] or [tex]\frac{169}{24}[/tex].
[tex]\frac{3.520833333}{\frac{169}{24} }=0.5[/tex]
These are really big numbers when you are dividing so hopefully you don't have to solve this all out in your head or by paper. Now, remember that 10 we got from the numerator earlier? We can finally use that here where we have that as our numerator and 0.5 as our denominator.
[tex]\frac{10}{0.5} =20[/tex]
This gives you the final answer of 20.
PLZ HELP here are three triangles shown separately, these triangles are similar. How do you know?
Answers
Answer:
Using the AA similarity postulate, you can determine that these triangles are similar.
Step-by-step explanation:
All three triangles are right triangles, so they all have 90° angles.
Angle B is present in the large and small triangle. Therefore, you know those 2 triangles are similar. You can also prove that angles A and C are the same.
A and B are complementary angles in the large triangle and the same with B and C in the small one. Since B ≅ B by Reflexive Property, A and C must have the same angle measurement since they are complements of the same angle.
Answer: Becasue the AA similarity Postulate
Step-by-step explanation:
Father has two apples, three pears, and two oranges. Every morning, during one week, he gives one fruit to his son for breakfast. How many ways are there to do this?
Answers
Answer:
210
Step-by-step explanation:
Since the condition does not state an opposite, I should assume that the apples are not distinguishable, same as the pears and the oranges.
So we have permutations of 7 fruits with 2 indistinguishable apples, 3 indistinguishable pears and 2 indistinguishable oranges.
The number of distinguishable arrangements is
7 1x2x3x4x5x6x7
--------- ---------------------- = 210
2x3x2 2x6x2
Answer. There are 210 ways to do it.
Find the missing segment in the attached image
Answers
Answer:
? = 78
Step-by-step explanation:
Use similar triangles.
26/12 = (26 + ?)/48
13/6 = (26 + ?)/48
6(26 + ?) = 13 * 48
156 + 6? = 624
6? = 468
? = 78
Answer:
The missing segment is equal to 78
Step-by-step explanation:
Using the similarity of triangles:
[tex]x=?[/tex]
[tex]$\frac{x+26}{48}=\frac{26}{12} $[/tex]
[tex]12(x+26)=48 \cdot 26[/tex]
[tex]12x+312=1248[/tex]
[tex]12x+312=1248[/tex]
[tex]12x=936[/tex]
[tex]x=78[/tex]
translate the following into an expression Two less than 50% of x
Answers
Answer:
2<x/2
x/2 means 50 percent of x
Let #N mean the number of days in year N. What is the value of #1988 + #1989 + #1990 + #1991?
A) 1460
B) 1461
C) 1462
D) 1463
Answers
Answer:
I need help though cause I had this for homework right now
Step-by-step explanation:
PLEASE!!! HELP!!! Question: If you have points on a graph that plot (1,7), (2,8), (3,5) and (4,6) what would be the slope?
Answers
Answer:
1
Step-by-step explanation:
You only need two points to find the slope.
Let's use (1,7) and (2,8).
The formula for slope is (y2-y1)/(x2-x1)
Let's plug the values in:
(8-7)/(2-1) = 1.
So, the slope is 1.
can someone help me explain it
Answers
Answer:
110.40
Step-by-step explanation:
First find the discount
120 * 20%
120*.2 = 24
Subtract this from 120
120-24
96
Now find the tip
96* 15%
96*.15
14.4
Add this to the 96
96+14.4
110.40
Answer:
$110.40
Step-by-step explanation:
The total is $120 and since there a coupon we need to subtract 20%
20% as a decimal is 0.2
When you do 0.2 multiplied by 120 you would get 24
After that you subtract $24 and get $96
15% as a decimal is 0.15
0.15 multiplied by 96 is 14.4
94 + 14.4 = 110.4
The diagram shows two congruent regular polygons joined together.
Work out the number of sides
of each polygon.
Note: Please write your final answer as ... sides.
Answers
360-72=288
288 divided by 2 is 144
Decagon have 144 degree interior angles
Find the gradient of the line segment between the points (-4,1) and (2,4). Give your answer in its simplest form.
Answers
Answer:
[tex] \frac{1}{2} [/tex]Solution,
Let the points be A and B
A(-4 , 1)------>( X1, y1)
B(2,4)---------->( x2, y2)
Now,
Gradient:
[tex] \frac{y2 - y1}{x2 - x1} [/tex]
[tex] \frac{4 - 1}{2 - ( - 4)} [/tex]
[tex] \frac{3}{2 + 4} [/tex]
[tex] \frac{3}{6} [/tex]
[tex] \frac{1}{2} [/tex]
Hope this helps...
Good luck on your assignment...
Answer:
1/2
Step-by-step explanation:
Choose the single logarithmic expression that is equivalent to the one shown.
log2 6 + log2 2 − log2 8
Answers
Answer:
C. log2 3/2.
Step-by-step explanation:
When you are adding two logs with the same base, you multiply.
So, log2 6 + log2 2 = log2 6 * 2 = log2 12
When you subtract two logs with the same base, you divide.
So, log2 12 - log2 8 = log2 12 / 8 = log2 3/2
The answer is C. log2 3/2.
Hope this helps!!
To create an open-top box out of a sheet of cardboard that is 25 inches long and
13 inches wide, you make a square flap of side length x inches in each corner by
13 in.
cutting along one of the flap's sides and folding along the other. (In the diagram,
a solid line segment in the interior of the rectangle indicates a cut, while a
dashed line segment indicates a fold.) Once you fold up the four sides of the
box, you glue each flap to the side it overlaps. To the nearest tenth, find the value of x that maximizes the
volume of the box.
Answers
Step-by-step explanation:
length of the box is a = 25 -2x
width of the box is b =13 -2x
height of the box is x
and x < 6,5
so the volume of the box V=f(x) = x.(25-2x)(13-2x)= 4x^3 -76x^2 +325x
f'(x) = 12x^2 - 152x + 325
to maximize the volume of the box ( f(x) max ) then f'(x) = 0 --> x ≈ 2,72 and x ≈ 9,94
so x = 2,72 inches
Answer:
length of the box is a = 25 -2x
width of the box is b =13 -2x
height of the box is x
and x < 6,5
so the volume of the box V=f(x) = x.(25-2x)(13-2x)= 4x^3 -76x^2 +325x
f'(x) = 12x^2 - 152x + 325
to maximize the volume of the box ( f(x) max ) then f'(x) = 0 --> x ≈ 2,72 and x ≈ 9,94
so x = 2,72 inches
Step-by-step explanation:
I need help ASAP for this question
Answers
Hope that helps!
Answer:
ans is d
hope it helps
mark as brianliest
Differentiate... How to solve this type of problem? y = cos^2(x^2 + x^3)
Answers
Answer:
[tex]\frac{d y}{d x} = - (2 x + 3 x^{2} )sin2(x^{2} +x^{3})[/tex]
Step-by-step explanation:
Step(i):-
Given y = cos² (x² + x³) ....(i)
By using differentiation formulas
a) [tex]\frac{d}{dx} (cosx) = -sinx[/tex]
b) [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]
Step(ii):-
Differentiating equation (i) with respective to 'x'
First apply formula [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]
[tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} )^{2-1} \frac{d}{d x} (cos(x^{2} +x^{3})[/tex]
Now we will apply formula
[tex]\frac{d}{dx} (cosx) = -sinx[/tex]
[tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} ) (-sin(x^{2} +x^{3})\frac{d}{dx} (x^{2} +x^{3} )[/tex]
Again apply formula [tex]\frac{d}{dx} (x^{n} ) = n x ^{n-1}[/tex]
[tex]\frac{d y}{d x} = 2 cos (x^{2} +x^{3} ) (-sin(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]
[tex]\frac{d y}{d x} = -2 sin (x^{2} +x^{3} ) cos(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]
we know that trigonometric formulas
Sin 2θ = 2 sinθ cosθ
[tex]\frac{d y}{d x} = -sin2(x^{2} +x^{3}) (2 x + 3 x^{2} )[/tex]
Final answer:-
[tex]\frac{d y}{d x} = - (2 x + 3 x^{2} )sin2(x^{2} +x^{3})[/tex]
A company is designing a new container to package and market their
coffee. The final design decision is between the two cylindrical
containers shown below.
Which polynomial
models the difference in volume between the two containers?
Answers
Answer:
B
Step-by-step explanation:
You must subtract the small volume from the bigger volume in this case you must do [tex](4\pi x^{3} +32\pi x^{2} +64\pi x)-4\pi x^{3}[/tex]
Simplified is B
7. If W = 3Z, and Z is 30% of R, then W is what
percent of R?
please answer asap i’ll give brainliest answer !!
Answers
Answer:
90%
Step-by-step explanation:
Let R = 100
Since, Z = 30% of R
Therefore, Z = 30% *100 = 30
Since, W = 3Z
Therefore, W = 3*30 = 90
Percentage of W of R
[tex]= \frac{Value \: of \: W}{Value \: of \: R} \times 100\\\\
=\frac{90}{100} \times 100\\\\
Percentage \:of \:W \:of \:R =90\%[/tex]
If W = 3Z, and Z is 30% of R. Then W is 90 percent of R.
What is the percentage?The quantity of anything is stated as though it were a fraction of a hundred.
If W = 3Z, and Z is 30% of R.
Z = 0.30R
The put the value of Z in the equation W = 3Z.
W = 3 (0.30R)
W = 0.90 R
Then W is 90 percent of R.
More about the percentage link is given below.
https://brainly.com/question/8011401
#SPJ2
[tex]\frac{s+24}{7}[/tex] = –2
s = ______
Answers
Step-by-step explanation:
S+24/7 = -2
7×{S +24/7} = -2×7
S+24 = -14
S+24-24 = -14-24
S = -38
Elijah created the scatterplot to show the relationship between the temperature in degrees Fahrenheit and the number of visitors to a zoo. A graph titled Temperature versus Zoo Visitors has Degrees Fahrenheit on the x-axis, and Visitors on the y-axis. Points are at (70, 100), (77, 96), (90, 75), (93, 73), (98, 60). Which is true regarding the data in his scatterplot? As the temperature increases, the number of visitors decreases. As the temperature increases, the number of visitors increases. As the temperature increases, the number of visitors remains the same. As the temperature increases, the number of visitors increases then decreases.
Answers
Answer:
A
Step-by-step explanation:
it right on edge
Answer:
A.
Step-by-step explanation:
Did the unit test in edge and got 100
What is the approximate surface area of the cylinder shown? (Use 3.14 for TT.)
-3 mm
1-
116 mm
301.44 mm 2
357.96 mm
2
339.12 mm 2
370.52 mm 2
Would this be right?
Answers
Answer:
357.96
Step-by-step explanation:
A=2πrh+2πr^2
Above is the equation for surface area of a cylinder. All you have to do is plug in the values, which are already given.
2 * 3.14* (3 * 16) + 2 * 3.14 * (3*3)
=301.44 + (6.28 * 9)
= 357.96 mm^2
6(q − 76) = 48 q = _____
Answers
━━━━━━━☆☆━━━━━━━
▹ Answer
q = 84
▹ Step-by-Step Explanation
6(q - 76) = 48
q - 76 = 8
q = 8 + 76
q = 84
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Answer:
Your answer to this equation is 84. q = 84
Step-by-step explanation:
6(q - 76) = 48
First, take q and subtract it:
q - 76 = 8
Next, do this:
q = 8 + 76
Therefore, q = 84
Patty lives on a chicken farm and can collect 80 eggs in 2 hours. At that rate how long will it take her to collect 360 eggs?
I'm confused, how do you solve this...
Answers
Answer:
9 hours
Step-by-step explanation:
First we have to calculate how many eggs she can collect in an hour. All we have to do to do this is divide 80 by 2, as if she can collect 80 in 2 hours, in one hour, half of the time, she can collect have of the eggs. This means that she can collect 40 eggs in one hour.
Now all we have to do is divide how many eggs she wants to collect by how many she can collect per hour, which will give how many hours it will take. In this case 360/40=9, so it will take her 9 hours.
Answer:
9 hours
360/80 = 4.5 x 2 = 9
Find the total surface area of this triangular prism.
Answers
Answer:
[tex]1048^{2}[/tex](cm)
Step-by-step explanation:
Which expression represents the algebraic phrase “twelve times the sum of a number and seven-tenths”? 12 y + StartFraction 7 over 10 EndFraction 12 (y + StartFraction 7 over 10 EndFraction) StartFraction 7 over 10 EndFraction y + 12 y (StartFraction 7 over 10 EndFraction + 12)
Answers
Answer:
c
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Find the slope of a line perpendicular to the line
36y - 4x = 18.
A perpendicular line would have slope m =
The solution is
Answers
Answer:
-36x-4y+72=0
Step-by-step explanation:
given line
36y-4x=18
or 4x-36y+18=0.......(i)
comparing(i) with ax+by+c=0
we get
a=4
b= -36
c=18
we know
line parallel to (i) is
bx-ay+k=0
where k = ac
then
-36x-4y+4×18=0
therefore -36x-4y+72=0 is the required equation
y=—1/9x+1/2
this is because you would turn the given equation into slope intercept form (y=mx+b). you would add the 4 to both sides and get 36y=4x+18. then you would divide everything by 36 and end up with y=1/9x+1/2. no you have to find an equation that is perpendicular to this equation. an easy way to do this is to put a negative in for the slope (mx). so your perpendicular equation can be y=—1/9x+1/2
Find the value of the logarithm.
log 210
Round your answer to the nearest thousandth.
Answers
Answer:
5.347
Step-by-step explanation:
5.3471075307175.
Answer:
Your correct answer is 5.347
Which function increases at the fastest rate between x = 0 and x = 8? A 2-column table with 5 rows titled Linear Function with the equation f of x = 2 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 6, 10, 14, 18. A 2-column table with 5 rows titled Exponential Function with the equation f of x = 2 Superscript x Baseline + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 3, 6, 18, 66, 258. A 2-column table with 5 rows titled Quadratic Function with the equation f of x = 2 x squared + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 10, 34, 74, 130. A 2-column table with 5 rows titled Linear Function with the equation f of x = 3 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 8, 14, 20, 26.
Answers
Answer:
2x² + 2
Step-by-step explanation:
Because it's exponential it should rise the fastest. I hope this is right and helps!
Answer:
The answer is C (2x² + 2)
Step-by-step explanation:
I just took this test and got it right
Hopefully this helps you :)
pls mark brainlest ;)
Find the missing side to the triangle in the attached image. Thanks.
Answers
Answer:
Let's use Pythagorean Theorem which states:
6² + 10² = x²
36 + 100 = x²
136 = x²
x = ± 2√34
Since the side lengths of a triangle cannot be negative, x = -2√34 is an extraneous solution which means that x = 2√34.
Answer:Answer:
Let's use Pythagorean Theorem which states:
6² + 10² = x²
36 + 100 = x²
136 = x²
x = ± 2√34
Since the side lengths of a triangle cannot be negative, x = -2√34 is an extraneous solution which means that x = 2√34.
Read more on Brainly.com - https://brainly.com/question/17033938#readmore
Step-by-step explanation:
PLEASE HELPP!! QUESTION IS BELOW
Answers
Answer:
C
Step-by-step explanation:
Because the four line make a quadrilateral in which line a and d are parallel , line b and c are parallel. Then the others like line a and b ,a and c ,d and b are perpendicular.
If you draw it , it will be easier
Hope it helps ... Brainliest please
Answer: c
Step-by-step explanation:
I need help with this question
Answers
Answer:
It's the first option.
Step-by-step explanation:
The line which rises to the right has a slope of 1 and a y-intercept of -6.
It's equation is y = x - 6.
The one which rises to the left has slope -1 and y-intercept -2.
It's equation is y = -x - 2 or x + y = -2.
The solution is at the point where the 2 lines cross - that is (2, -4).