Answer:
Proved
Step-by-step explanation:
The options are not given. So, I will solve from scratch
Given
[tex]\frac{secx-1}{tan x}= \frac{tanx}{secx+1}[/tex]
Required
Prove
Multiply the right-hand side by [tex]\frac{secx + 1}{secx + 1}[/tex]
[tex]\frac{secx-1}{tan x} * \frac{secx + 1}{secx + 1}= \frac{tanx}{secx+1}[/tex]
Apply difference of two squares on the numerator
[tex]\frac{sec^2 x - 1}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
In trigonometry:
[tex]tan^2x = sec^2x - 1[/tex]
So, we have:
[tex]\frac{tan^2 x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
[tex]\frac{tan x * tan x}{(tanx)(secx + 1)} =\frac{tanx}{secx+1}[/tex]
tan x cancels out
[tex]\frac{tan x}{secx + 1} =\frac{tanx}{secx+1}[/tex]
Proved
2 and 1/6 of a foot converted into inches as a fraction
Answer:
26 inches
Step-by-step explanation:
1 foot = 12 inches
Which of the following gives a valid reason for using the given solution method to solve the system of equations shown?
Equation 1: 4x - 5y = 4
Equation Il: 2x + 3y = 2
A. Elimination; a coefficient in Equation I is an integer multiple of a coefficient in Equation II.
B
Elimination; a coefficient in Equation II is an integer multiple of a coefficient in Equation I
0
Substitution: Equation I can be solved for x in one step by dividing both sides by 4.
D.
Substitution: Equation Il can be solved for x in one step by subtracting 3y from both sides.
Answer:
C
Step-by-step explanation:
What is the equation ( y = mx + b) of the line that passes through (2,5) and (6, 13)
Answer:
y=2x+1
Step-by-step explanation:
y=mx+b
m=(13-5)/(6-2)
m=8/4
m=2
b=y-mx
b=5-2*2
b=5-4
b=1
y=2x+1
Answer:
y=2x+1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(13-5)/(6-2)
m=8/4
m=2
y-y1=m(x-x1)
y-5=2(x-2)
y-5=2x-4
y=2x-4+5
y=2x+1
What is the area of the top AND bottom faces?
Answer:
Top : 24cm²
Bottom : 24cm²
Step-by-step explanation:
Surface area : Base × Height
Top :
3 × 8 = 24
Bottom :
3 × 8 = 24
A physical education teacher wanted to know the effects of various activity levels on body composition. She surveyed her physical education classes and categorized 30 students into five activity levels based on the amount of daily exercise in which the students participated: inactive, semiactive, normal, active, and very active. She measured percent body fat values using skinfold calipers on all subjects with the following results.
Inactive Semiactive Normal Active Very Active
30.2 29.4 22.9 17.6 10.9
29.6 17.6 25.4 13.4 13.7
35.2 26.4 19.6 20.3 12.8
19.1 25.3 18.7 19.6 14.7
26.3 22.5 21.8 15.1 9.3
22.4 28.6 24.9 10.7 12.7
Required:
a. What is the independent variable in this study? What is the dependent variable?
b. What are the means and standard deviations for each group?
c. Does a significant difference exist among any of the groups?
Answer:
a. The independent variable is the activity level
The dependent variable is the body composition (the percentage of body fat in the values)
b. The mean and standard deviation are;
(Mean, Standard deviation)
Inactive(27.13, 5.8), Semiactive(24.97, 4.367), Normal(22.217, 2.73), Active(16.12, 3.73), Very Active (12.35, 1.95)
c. Yes
Between Semiactive and Active, Semiactive and Very Active, Normal and Very Active, Normal and Active, Active and Inactive, and Inactive and Very Active
Step-by-step explanation:
a. The independent variable is the activity level
The dependent variable is the body composition (the percentage of body fat in the values)
b. The given data are presented as follows;
Inactive [tex]{}[/tex] Semiactive Normal Active Very Active
30.2 [tex]{}[/tex] 29.4 22.9 17.6 10.9
29.6 [tex]{}[/tex] 17.6 25.4 13.4 13.7
35.2 [tex]{}[/tex] 26.4 19.6 20.3 12.8
19.1 [tex]{}[/tex] 25.3 18.7 19.6 14.7
26.3 [tex]{}[/tex] 22.5 21.8 15.1 9.3
22.4 [tex]{}[/tex] 28.6 24.9 10.7 12.7
Bymaking use of Microsoft Excel, we have;
Inactive [tex]{}[/tex] Semiactive Normal Active Very Active
Mean 27.13 [tex]{}[/tex] 24.97 22.217 16.12 12.35
Standard Deviation 5.8 [tex]{}[/tex] [tex]{}[/tex] 4.367 2.73 3.73 1.95
c. Yes
[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2}) }{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]
The degrees of freedom = n - 1 = 6 - 1 = 5
The critical t = 2.5706
Therefore, we have;
The test statistic for Inactive and semi active ≈ 0.72875
The test statistic for Semiactive Normal ≈ 1.309
The test statistic for Inactive and Normal ≈ 1.8773
The test statistic for Semiactive and Active ≈ 3.775 (Significant)
The test statistic for Semiactive and Very Active ≈ 6.464 (Significant)
The test statistic for Normal and Very Active ≈ 7.204 (Significant)
The test statistic for Normal and Active ≈ 3.231 (Significant)
The test statistic for Active and Inactive ≈ 3.91 (Significant)
The test statistic for Active and Very Active ≈ 2.194
The test statistic for Inactive and Very Active ≈ 5.92 (Significant)
Where the test statistic is larger than the critical 't' the statistic is significant
Jill collected a total of 19 gallons of honey. If she distributes all of the honey equally between 7 jars, how much honey will be in each jar?
Emmanuel invests $4,200 and Kelsey invests $2,800. Both investments earn 3.9% annual interest. How much longer will it take Kelsey's investment to reach $10,000 than Emmanuel's investment? If necessary, round to the nearest tenth.
It takes ____?____years longer for Kelsey's investment to reach a value of $10,000 than Emmanuel's investment.
Answer:
The answer is 7
Step-by-step explanation:
A story in the National Enquirer claimed that women who skip breakfast are more likely to give birth to baby girls, whereas women who eat breakfast are more likely to have baby boys. A skeptical researcher tested this by taking a sample of pregnant women who already knew the gender of their baby and asking them whether they ate breakfast each day or not. What are the odds of having a boy if you eat breakfast
Answer:
hello the options to your question is missing attached below are the options
answer : The number that had a boy and ate breakfast ( option 3 )
Step-by-step explanation:
The odds of having a boy if you eat breakfast is ; The number that had a boy and ate breakfast
This simply because the dependent variable is the Gender of the baby while the independent variable is Breakfast
The directions says determine weather each rate of change is consistent. If it is, find the rate of change and explain what it represents.
3:1 is your answer bruuuuuuhhhh
3:1 thats the answer yeah
A(3,0) B, (2,7) C(6,4)
What is the slope of line bc
Answer:
You go down 3 and right 4 to get from point B to point C
Step-by-step explanation:
-3/4
Consider the number line.
+
+
-1
0
1
What is the value of x on the number line?
А
-1.5
B
-0.5
с
0.5
D
1.5
a
-1.5
1 Division euclidienne<br />Activite<br />11 pirates et leur chef doivent se partager 197 pièces d'or. Le chef<br />pirate affirme : « Chacun de nous aura le même nombre de pièces<br />et les pièces restantes seront ajoutées à ma part. »<br />1 Expliquer pourquoi chacun aura entre 10 et 20 pièces.<br />2 a. Recopier et compléter cette division.<br />b. En déduire le nombre de pièces d'or que recevra chaque pirate et le chef.<br />C d<br />1 9<br />-<br />3 Le lendemain, les 12 pirates trouvent un nouveau trésor composé de<br />2335 pièces d'or. Utiliser la touche (ou 2nde - de la calculatrice<br />pour trouver le nombre de pièces d'or que recevra chaque pirate et le chef.<br />Critères de divisibilité
Help me answer my homework questions!
Answer:
Page 1: D
Page 2: A
Page 3: D
dad lol
what is the mean will give brainlyest
Find the equivalent expression of 1/3
Answer:
..........
Step-by-step explanation:
1 = 1 × 2 = 2
3. 3×2. 6
Nina took an exam. When her results came, she had 40% correct and 68% incorrect. Find the percent to correct answers to incorrect answers.
Answer: She had 27.2% correct.
Step-by-step explanation: To find the percent, we can divide the part and whole then multiply the quotient by 100. After that we'll need to convert the percent to a decimal. In mathematical terms, the formula will be,
[tex]\frac{part}{whole}=quotient*100[/tex]
40% will be the part and 68% will be the whole.
Step 1.
Convert 40 into a decimal by dividing it by 100.
40 ÷ 100 = 0.4
Step 2.
Multiply 0.4 by 68.
0.4 × 68 = 27.2
Hence, she had 27.2% correct.
5 feet. how many miles is that using the scale? 1 ft= 4 mile
Answer:
your answer I think would be 20 miles
giving brainliest ! *easy*
Answer:
23π
--------- radians
18
Step-by-step explanation:
To convert degrees to radians, multiply by
π
------- , since a full circle is 360° or 2π radians.
π
230°⋅ -------- radians
180°
π
Combine 23 and -----
18
23π
. --------- radians
18
I hope I helped, and I always appreciate brainliest!!! :)
a tank holds 49 litres of oil. if 7 litres leaked what percentage of oul has leaked
The percentage of oil that has leaked from the tank is 14.29%.
Given the following data:
Tank capacity = 49 litres.Oil leakage = 7 litres.To determine the percentage of oil that has leaked from the tank:
How to calculate percentage.Mathematically, the percentage for the amount of oil leakage in this tank is given by this formula:
[tex]Percentage = \frac{Oil\;leakage}{Tank\;capacity} \times 100\\\\[/tex]
Substituting the given parameters into the formula, we have;
[tex]Percentage = \frac{7}{49} \times 100\\\\Percentage = 0.1429 \times 100[/tex]
Percentage = 14.29%.
Read more on percentage here: https://brainly.com/question/24304697
4x²y+2xy² simplefid in algebra
Answer:
Difficulties regarding the emotions of your body.
Step-by-step explanation:
Difficulties regarding the emotions of your body.
please help me i really need help please
Answer:
its C I have study abt it so donot worry it's c
who is from india and speaks malyalam i do but i was born in america
Answer:
i don't sorry thanks for the points though
Step-by-step explanation:
Answer:
I do, not from India though.
Step-by-step explanation:
One die, numbered 1, 2, 3, 4, 5, 6 is rolled. What is the probability of rolling a 1 or a 6?
Answer:
1/3
Step-by-step explanation:
There are 2 different options to get a 1 or a 6 out of 6 total options, so:
2/6 = 1/3.
when 55 is added to a certain number and the sum is divided by 3 , the result is 4 times the original number what is the original number
Answer:
4.99
Step-by-step explanation:
i cant remember how i got 4.99 but can show u how to check
= 55 + 4.99 = 59.99
59.99 divide 3 = 19.99666667
= 19.99666667 divide 4 (working in reverse as it says 4 times the orig no.)
= 4.99 (was rounded)
What are the coordinates of the midpoint between the points (-1,4) and (2,-5)
Answer:
(1/2, -1/2)
Step-by-step explanation:
To find a midpoint add the two x's and divide by 2 so -1+2 / 2 = 1/2
add the two y's and divide by 2 so 4-5 / 2 = -1/2
Put the two numbers together as a coordinate (1/2, -1/2)
I need help with this
Answer:
x=45
Step-by-step explanation:
This is a triangle so it interior degrees will add up to 180.
W
Since Line AC is tangent to Circle O at point c, Point C measures 90 degrees.
We can find OAC by using the triangle interior theorem,
[tex]45 + 90 + x = 180[/tex]
[tex]135 + x = 180[/tex]
[tex]x = 45[/tex]
Which expresses shows another way to write 36+16?
4(9 + 4), because :
4 * 9 + 4 * 4 = 36 + 16
Why were most peppered moths dark in the 1959 era but light in the 2000s?
Help me
Out please
I need help
Answer:
So the surface area consists of 2 triangles and 3 different rectangles
Triangle area = 1/2 * 8cm * 6cm = 24cm²
Rectangle a area (bottom one) = 17cm * 8cm = 136cm²
Rectangle b area (the one to the left) = 17cm * 6cm = 102cm²
To calculate Rectangle c we need to know the hypotenuse of our triangles
Formula for the hypotenuse is c = [tex]\sqrt{a^2+b^2}[/tex]
so c = [tex]\sqrt{6^2+8^2}[/tex] = 10
Rectangle c area = 17cm * 10cm = 170cm²
So the surface area is 2 * 24cm² + 136cm² + 102cm² + 170cm² = 456cm²
The volume is 1/2 * h * a * b = 1/2 * 6cm * 8cm * 17cm = 408cm³
Nathaniel invested $2,900 in an account paying an interest rate of 5.4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 11 years?
Answer:
5252.53
Step-by-step explanation:
Nathaniel would have in his account after 11 years an amount of $3076 and 99 cents.
What is compound interest?
Compound interest is the interest on a loan or deposit added to the original principal deposited or drawn and the accumulated interest from all the former periods.
What is the formula for finding the amount including compound interest?[tex]A=P(1+r)^{t}[/tex]
Where A is the total amount, P is the principal, r is the interest rate and t is the period.
P = $2900
r = 5.4% = 0.054
t = 11
We have to substitute this in the equation.[tex]A =2900(1+0.054)^{2}\\= 2900(1.0054)^{11}\\=2900(1.061)\\=3076.99[/tex]
Therefore, Nathaniel would have $3076 and 99 cents in his account after 11 years.
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