Answers
9514 1404 393
Answer:
multiply by (d/cos(36°))
Step-by-step explanation:
As with any division problem, the equation remains true if you swap the divisor and the quotient (short answer).
cos(36°) = 16/d
d = 16/cos(36°) = 16/0.8090169943749475 ≈ 19.77708763999635
d ≈ 19.78
__
Here is the longer answer, with respects to the properties of equality. The multiplication and division properties of equality tell you equality only holds if the same operation is performed to both sides of the equal sign. So, when we say "multiply by __", we mean that operation to be performed on boths sides of the equation.
[tex]\cos{(36^{\circ})}=\dfrac{16}{d}\qquad\text{given}\\\\d\cdot\cos{(36^\circ)}=\dfrac{d\cdot 16}{d}=16\qquad\text{multiply by $d$}\\\\\dfrac{d\cdot\cos{(36^\circ)}}{\cos{(36^\circ)}}=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{divide by $\cos{(36^\circ)}$}\\\\d=\dfrac{16}{\cos{(36^\circ)}}\qquad\text{simplify}[/tex]
__
The two operations, multiply by d and divide by cos(36°) can be combined into one: multiply by d/cos(36°). Once you realize this has the effect of the quotient (cos(36°)) and the divisor (d) trading places, you realize you don't need to take 3 steps to do what you can do in 1 step.
_____
Comment on numerical precision
We have kept the 16-digit precision of the numbers shown in the question, "just because." The final answer has 4 significant digits, so there is no real need to keep more than about 6 significant digits.
Related Questions
A university investigation was conducted to determine whether women and men complete medical school in significantly different amounts of time, on the average. Two independent random samples were selected and the following summary information concerning times to completion of medical school computed:
Women Men
Sample size 90 100
Sample mean 8.4 years 8.5 years
Sample std 0.6 year 0.5 years
Required:
Perform the appropriate test to see if there is a significant difference in time to completion of medical school between women and men.
Answers
Answer:
Following are the responses to the given question:
Step-by-step explanation:
[tex]Null \ H_{yp}: \mu_{men} = \mu_{women}\\\\Alt \ Hyp: \mu_{men} \neq \mu_{women}\\\\Std\ Error\ (SE) = \sqrt{(\frac{s_1^2}{n_1}) + (\frac{s_2^2}{n_2})} \\\\[/tex]
[tex]= \sqrt{(\frac{0.62}{90}) + (\frac{0.52}{100})} \\\\= 0.08[/tex]
[tex]test\ statistic \ t = \frac{(x_1 - x_2)}{SE} = \frac{(8.4 - 8.5)}{0.08} = -1.25[/tex]
Degrees of freedom
[tex]= \frac{(\frac{s_1^2}{n_1} + \frac{s_2^2}{n_2})^2}{\frac{(\frac{s_1^2}{n_1})^2}{(n_1 - 1)}} + \frac{(\frac{s_2^2}{n_2)^2}}{(n_2 - 1)} \\\\= 174[/tex]
Considering a degree of 5% importance
T for df critical value = 174 and sig level = 0.05 is +1.973
Let area of refusal shall be t < -1.973 or t > +1.973
Because statistical tests weren't in the refusal zone, they may not deny that zero but find that perhaps the argument how both women and men undergo med school is considerably different lengths of time is not significantly supported.
Halloween candy goes on sale 25% off the day after Halloween. If a bag of candy is priced $10, what is the price the day after Halloween?
Answers
A cooler contains eleven bottles of sports drink: five lemon-lime flavored, three orange flavored, and three fruit-punch flavored. You randomly grab a bottle. Then you return the bottle to the cooler, mix up the bottles, and randomly select another bottle. Both times you get a lemon-lime drink.
Answers
Answer:
the reason you picked up more lemon lime drinks was because it had the most in the cooler.
Step-by-step explanation:
Answer:
25/121 chance of grabbing a lemon-lime bottle twice.
Step-by-step explanation:
5/11 chance the first time, times 5/11 for the second time (no removal factor) is 25/121 chace, or around a 20.66% chance.
10 POINTS FOR CORRECT ANSWER PLEASE HELP ME
Answers
mobymax help 11 points math
Answers
Answer:
10/15 + 3/15 = 13/15
Step-by-step explanation:
Apply the elimination method to solve the system of equations 2x + 6y = 8 and 3x + 2y = 5. Which THREE statements are correct?
Answers
Answer:E,D,A
Step-by-step explanation:
Mila invested $9,300 in an account paying an interest rate of 4\tfrac{7}{8}4
8
7
% compounded monthly. Carter invested $9,300 in an account paying an interest rate of 4\tfrac{3}{4}4
4
3
% compounded continuously. After 7 years, how much more money would Mila have in her account than Carter, to the nearest dollar?
Answers
Answer: 105 (rounded to the nearest dollar)
Step-by-step explanation:
It’s correct on delta match
i’ll give brainliest please help it's due in 30 min
Answers
Explanation: x=(5/√8) x (√8 √8)
PS: WILL GIVE BRANLIEST
Select ALL the ratios that are equivalent to 16 : 6
a. 3 to 8
b. 32 : 12
c. 4 to 2
d. 8 to 3
Question 3 options:
a & b
b & c
b & d
a & c
Answers
I'm pretty sure it a 3 to 8 and 32 to 12
Answer:
The answer will be b & c.
The answer will be e B and C that is 32:12 and 4 to 2. Because it is equivalent to 16: 6.
What number should be added to both sides of the equation to complete the square?
x2 - 6x = 5
Answers
Answer:
Ans: 9
pls mark as brainliest!!
Step-by-step explanation:
Completing the square is done as follows:
1. Write the equation in a way that the constants are in the right side while the terms with x are on the left.
x^2 – 6x = 5
2. Make sure that the coefficient of the x^2 term is 1.
x^2 – 6x = 5
3. Adding a term to both sides that will complete the square in the left side. This is done by dividing the coefficient of the x term by 2 and squaring it. Note: The same amount should be added to the right side to balance the equation.
x^2 – 6x + 9 = 5 + 9
(x-3)^2 = 14
Therefore, 9 should be added to both sides to complete the square.
STANKY PLSS HELP ME ❤️
Answers
Answer:
PQS is a triangle
Step-by-step explanation:
Area of triangle= L×B
So,
20×7
140cm²
Answer :70
Step-by-step explanation:
Area formula: a times b/ 2
PQS: 7 times 20/ 2= 70
Your answer is 70
I hope this helps and may God bless you. have a nice day, bye!
There are 20 students in Lynn's class. 12 of the students are in choir and 8 are in band. Write a fraction, in simplest form, to represent the part of the class that is in choir.
Answers
Answer:
3/5
Step-by-step explanation:
i♀️♀️
Answer:
3/5
Step-by-step explanation:
students in choir - 12
total number of students - 20
students in choir
-------------------------
total no. of students
12
----
20
3
--
5
What is the simplified value of the expression below?
Answers
Answer:
I dont know the experssion but I will give you steps to figure it out!
Step-by-step explanation:
Before you evaluate an algebraic expression, you need to simplify it. This will make all your calculations much easier. Here are the basic steps to follow to simplify an algebraic expression:
remove parentheses by multiplying factors
use exponent rules to remove parentheses in terms with exponents
combine like terms by adding coefficients
combine the constants
When simplifying an expression, the first thing to look for is whether you can clear any parentheses. Often, you can use the distributive property to clear parentheses, by multiplying the factors times the terms inside the parentheses. In this expression, we can use the distributive property to get rid of the first two sets of parentheses.
Now we can get rid of the parentheses in the term with the exponents by using the exponent rules we learned earlier. When a term with an exponent is raised to a power, we multiply the exponents For example, (x2)2 becomes x4.
The next step in simplifying is to look for like terms and combine them. The terms 5x and 15x are like terms, because they have the same variable raised to the same power
Finally, we look for any constants that we can combine.
Now our expression is simplified. Just one more thing -- usually we write an algebraic expression in a certain order. We start with the terms that have the largest exponents and work our way down to the constants. Using the commutative property of addition, we can rearrange the terms and put this expression in correct order, like this.
NO FILE HOSTING LINKS!!!!!!
BRAINLIEST!!!
PLEASE HELPP
Answer each part. If necessary, round your answers to the nearest hundredth.
Answers
Answer:
A. 7 pounds
B. $1.60
Step-by-step explanation:
For A you Divide 21 by 3
For B you Divide 14 by 9
The population of racoons in a town increased by 10% from Year 1 to Year 2. The population of racoons in Year 2 is 66.
Answers
Answer:
59.4 year one
Step-by-step explanation:
i dont know if this what you mean but i think this is what you mean
Find the area of this circle. Use 3.14 for .
82 mm
The area of the circle is about mm2.
(Round to the nearest hundredth as needed.
Answers
Answer:
Step-by-step explanation:
What is 82 mm? The radius or diameter?
If the radius is 82 mm, the area is π82² ≅ 21,113.36 mm².
If the diameter is 82 mm, the radius is 41 mm and the area is π41² ≅ 5,278.34 mm²
Can someone please tell 5% as a fraction
Answers
Answer:
5/100 = 1/20
Step-by-step explanation:
5% = .05 = 5/100 = 1/20
What is always true about the net of a prism?
It contains 0 triangles.
It contains 0 or 2 triangles.
O It contains 3 or more triangles.
o It contains 4 or more triangles.
Answers
Answer:
B: It contains 0 or 2 triangles
Step-by-step explanation:
Just took the unit test review on edge and this was the answer
2021
Answer:
it is b the other person is right just did the unit test review
I I
Step-by-step explanation: OO
What is the range of the function y=x+8?
Answers
(-infinity, infinity)
There are no restrictions on x. If x can be any value, then the same goes for y.
Answer: Range = ALL REAL NUMBERS.
We can also express the answer as
(-infinity, infinity).
What is the slope of this line (0,8), (6,-4)
Answers
Answer:
-2
Step-by-step explanation:
formula: (-4)-8/6-0 or 8-(-4)/0-6
=-12/6
=-2 (hope this helps)
Please help me! It’s due soon!
Answers
Which of these describes the transformation of ∆XYZ to ∆X᾿Y᾿Z᾿?
Answers
9514 1404 393
Answer:
A. translation 8 left
Step-by-step explanation:
Points X'Y'Z' are in the same clockwise order as points XYZ, so no reflection is involved.
Point X' at -6 is 8 units left of point X at 2. ΔXYZ has been translated left 8 units to make ΔX'Y'Z'.
Answer:
a is the answer.
Step-by-step explanation:
HELP ME 2 PICTURES BTW 50 POINTS
Answers
Answer:
7 and 9 are alternate interior angles
Step-by-step explanation:
4 and 11 are corresponding angles
1 and 7 are vertical angles
1) 1Find the measure of the arc or angle indicated by a question mark (?). Assume that lines that appear to be tangent are tangent.
Answers
Answer:
120 degrees
Step-by-step explanation:
55+ 185/2 = 120
What is the solutions to this system of equations?
x+ 2y - z = 3
2x - y + 2z = 6
x- 3y + 3z = 4
____________
A) (-6,7,14)
B) (2,-3,5)
C) infinite solutions
D) no solutions
Answers
Answer:
D- No solution
Step-by-step explanation:
Isolate x for x+2y−z=3: x=3−2y+z
then Simplify
then Isolate y for −5y+4z+6=6: y= 4z 5 −5y+4z+6=6 Subtract 6 from both sides −5y+4z+6−6=6−6 Simplify −5y+4z=0 Subtract 4z from both sides −5y+4z−4z=0−4z Simplify −5y=−4z Divide both sides by −5 −5y −5 = −4z −5 Simplify y= 4z 5
lastly simply.
PLS HELP SHOW ALL UR STEPS AND PLZ DONT GIVE ME A LINK TO FOLLOW IM JUS A LITTLE KID TRYNNA GET THIS RIGHT
Answers
third side =√{30²+16²)=34
sin theta/2=16/34
theta/2=sin-¹(16/34)
theta=28.07×2=56.14
How Do You Know a Solution is a Solution
Answers
Solution in terms of general solution of an equation means the final answer that is gotten for solving the equation
Answer step by step
please
Answers
Answer:
the answer is D, because 30/2 is 15.
Answer:
15
Step-by-step explanation:
Angle CDA = 1/2 ×angle ABC
because the angle at the center of the circle is twice of the angle at the circumference.
so angleCDA = 1/2 ×30 = 15 degrees
Need help!! algebra!!!
Part A: The area of a square is (4a2 − 20a + 25) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (9a2 − 16b2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answers
Answer:
Step-by-step explanation:
Need help if you can answer through would be great thank you
Answers
Step-by-step explanation:
I don't really know the answer 'cause
check the answer in aswer sheet