Answers
Answer:
A) [tex]\tan \theta[/tex]
Step-by-step explanation:
[tex] \frac{\sin \theta}{ \sqrt{1 - { \sin}^{2} \theta } } \\ \\ = \frac{\sin \theta}{ \sqrt{ { \cos}^{2} \theta } } \\ \\= \frac{\sin \theta}{{ { \cos} \theta } } \\ \\ = \tan \theta[/tex]
Related Questions
Use the formula for,P, to solve the following question.
For a segment of a radio show, a disc jockey can play 7 records. If there are 10 records to select from, in how many ways can the program for this segment be arranged?
ways
Answers
Answer:
604800 different ways to order the program
Step-by-step explanation:
using the formula for permutation, not combination because the order of the records matter
n!/(n-r)!
n is the total number of choices (10)
r is the number that is chosen from the total number (7)
Which method would be the best to solve the following system of equations?
{5z + 3y = -7
{-2x - 3y = 19
Answers
Answer:
substitution or elimination
The Marked price of an article is rupees 5000 .This price is 25% above the cost price. If the article is sold by allowing 10% discount .Find the profit percent.
Note: Please show the process and explain as well.
Answers
Answer: 13%
Step-by-step explanation:
Step 1:
5000
10% of 5000=500
5% of 5000=250
25%=500+500+250= 1250 rupees
so...
5000-1250= 3750 INR, which is the original price, BEFORE THE 25% WAS ADDED
but..
They only want a 10% discount of the price which is 25% above the cost (5000). So essentially we want to find 15%, because 25%-10%=15%
so if...
10%=500
5%=250
15%=750 INR
this means the price with the 10% discount off 25%= 4250 INR (5000-750)
now we need to find the percentage change. For this we need to subtract the price with the 15% discount with the price BEFORE THE 25% was added
e.g 4250-3750= 500INR
Then.. divide this price with the original price before the 25% was added
e.g 500/3750= 2/15=0.13
So...
Convert 0.13 into a percentage=13%
The PERCENTAGE PROFIT of the owner is 13%
P.S Please could someone double check this answer as I am only 15 years old and may have gotten some working out wrong! Thank you
There were 27 children in a class.
There were twice as many boys as girls.
How many boys were there?
Answers
Answer:
18
Step-by-step explanation:
no. of boys=2x
no.of girls=x
total no. of pupils=2x+x
27=3x
27/3=x
x=no.of girls=9
no.of boys =2x=2*9=18
Answer: 18 Boys
Step-by-step explanation: make first 27 divided by 3 equals 9 and then 9 times 2 equal 18 . We multiply by 2 to make it twice
helpppppp meeeee pleaseeeeeeeee thanksssssss :)))))))
Answers
Answer:
815.76 is your answer
Step-by-step explanation:
i need help 9y grade math
Answers
Answer:
17x+7
Step-by-step explanation:
(10x+3)-(-7x-4)
Done!
Please answer everything that at asks in the image above. this is very important and I need help.
Answers
Answer:
Step-by-step explanation:
Multiply the binomials:
(3x+4)(5x-2)
Answers
Answer:
15x^2 + 14x - 8.
Step-by-step explanation:
(3x + 4)(5x - 2)
= 3x(5x - 2) + 4(5x - 2)
= 3x*5x + 3x*-2 + 4*5x + 4*-2
= 15x^2 - 6x + 20x - 8
= 15x^2 + 14x - 8.
How to do the sum
25 cm 25 mm = --------------------m
pls give the ans with explanation
Answers
Answer:
Step-by-step explanation:
100 cm = 1 m
25 cm = 25 ÷ 100 = 0.25 m
1000mm = 1m
25 mm = 25 ÷ 1000 = 0.025
0.250 +
0.025
0.275
25 cm 25 mm = 0.275 m
25cm = .25m 25mm = .025m
.275m
If fixed costs to print a certain Bible are $15,000 and
variable costs are $25 per Bible, what must be the selling
price to earn $10 per Bible if 5,000 Bibles are printed?
Answers
$35 per bible
Explanation
15,000+25x=?
15,000+25(5,000)=?
15,000+125,000=?
140,000 - minimum price
10•5,000=?
50,000 - the additional cost for profit
125,000+50,000=?
175,000 - the price for production as a whole
175,000/5,000=?
$35 per bible
Or instead of all this work just add the $10 for profit to the $25 for production
The selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.
What is target profit?The target profit is the profit that is expected by a manufacturer from the sale of its product.
The target profit can be established and used to determine the selling price.
When the target profit is added to the fixed cost per unit and the variable cost per unit, the resultant figure is the selling price.
Data and Calculations:Fixed costs per print = $15,000
Number of Bibles per print = 5,000
Fixed costs per Bible = $3 ($15,000/5,000)
Variable costs per Bible = $25
Expected profit per Bible = $10
The selling price = $38
Thus, the selling price to earn $10 per Bible if 5,000 Bibles are printed when the fixed costs per print is $15,000 and variable costs are $25 per Bible, is $38.
Learn more about determining the selling price at https://brainly.com/question/1153322
WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!
PLEASE HELP AND EXPLAIN!
The Cosmic Pool company is building a pool in Mary’s back yard. The pool is to be 8ft longer than it is wide and cover 240 square feet of the back yard. Determine both dimensions of the pool and the perimeter.
Group of answer choices
(A) Dimensions: width = 20ft & length = 12ft
Perimeter: 32ft
(B) Dimensions: width = 20ft & length = 12ft
Perimeter: 64ft
(C) Dimensions: width = 12ft & length = 20ft
Perimeter: 32ft
(D) Dimensions: width = 12ft & length = 20ft
Perimeter: 64ft
Answers
Answer:
(D) Dimensions: width = 12ft & length = 20ft / Perimeter: 64ftStep-by-step explanation:
Let the length be x and width be y.
We have:
x = y + 8Area = 240 ft²Set equation and solve
xy = 240y(y + 8) = 240y² + 8y = 240y² + 8y + 16 = 256(y + 4)² = 16²y + 4 = 16y = 12 ftThe length is:
x = 12 + 8 = 20 ftThe perimeter is:
P = 2(x + y) = 2(20 + 12) = 2(32) = 64 ftCorrect choice is D
Let they be l and b
l=b+8l-b=8--(1)And
lb=240So
(l+b)^2=(l-b)^2+4b=(8)^2+4(240)=64+960=1024l+b=32--(2)From both equations
2l=40l=20And.
b=20-8=12ft
Option D
Need Help!
Sarah's bill for a meal at a Sonic is $8.99 before tax. If the tax rate is 6.2%, what is the total cost of her meal?
$9.06
$9.55
$9.60
$9.61
Answers
Answer: $9.55.
Step-by-step explanation: So far, Sarah's meal is $8.99 and her tax rate is 6.2%. So 6.2% of $8.99 is 0.55738. We have to add 0.55738 with 8.99 to find the total cost of her meal:
8.99 + 0.55738 = 9.54738, or $9.55.
Therefore, Sarah's bill has a total of $9.55 with the tax.
Hope this helps! :)
If B is the midpoint of AC, and AC=8x-20,find BC
Answers
Answer:
BC = 0.5 * AC
Step-by-step explanation:
Since B is the midpoint
help me please
find value of x and y
Answers
Answer:
Below in bold.
Step-by-step explanation:
The triangle ABC is a right triangle as BCD is a tangent.
So m < y = 90 - 30 = 60 degrees
The angle at the centre O = 2*30 = 60 degrees (angle subtended at centre theorem)
m < x = 180 - 90 - 60 = 30 degrees
Step-by-step explanation:
y = 60
x= 30
these are the answer s
Help pls need done now :)
Answers
g(x) = x^2 + 6
[tex]\bold{EXPLANATIONS:}[/tex]
Answer:
g(x) = x^2 + 6
Step-by-step explanation:
We are trying to find what is g(x) from the graph. f(x) = x^2 translated to g(x).
g(x) = (x - h)^2 +k
It appears the graph is just translated up by k = 6 and no transition of left/right h = 0.
g(x) = (x-0)^2 + 6
g(x) = x^2 + 6
El maestro de matemáticas mostró una figura cuya área está representada por la siguiente expresión x² - 5x 6 = 0. ¿Cuánto miden los lados de la figura?
Answers
Answer:
x≈5
Step-by-step explanation:
x^2-5x6=0
x^2-30=0
x^2-30+30=30+0
x^2=30
x≈5
An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84. the investor sells these shares when the net asset value is $43.19 and the offer price is $43.56. determine the amount of profit the investor earns. a. $9,576 b. $9,488 c. $9,428 d. $9,340 please select the best answer from the choices provided a b c d
Answers
The amount of profit the investor earns is 9340 dollars. Then the correct option is D.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
An investor buys 400 shares of stock in a fund when the net asset value is $19.62 and the offer price is $19.84.
The investor sells these shares when the net asset value is $43.19 and the offer price is $43.56.
Then total cost price of the shares will be
→ 19.84 × 400 = $7936
The total selling price of the shares will be
→ 43.19 × 400 = $17,276
Then the profit is the difference between the total cost price of shares and the total selling price of the shares.
→ 17276 - 7936 = $ 9340
More about the Algebra link is given below.
https://brainly.com/question/953809
The number of visitors to a website in the first week is 40. The number of visitors each week is double the number of visitors the previous week. What is the total number of visitors to the website in the first 8 weeks? Show your work.
Answers
40 x 2 = 80.
In the third week, 40 x 2^2 = 160
So, In the eight week it is 40 x 2^7 = 5120.
a triangular sail with a height of 6 feet has a base that is 9 feet long what is the area of the sail
Answers
Answer:
54 I think
Step-by-step explanation:
you multiply the width times the length and that’s the area
hope this helps!
Michael has $1,059.35 in his checking account. He is going to spend $466.43 on a new television, and he will spend the rest on speakers that cost $43.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael can buy without spending more money than he has in his account?
A.
$466.43 < $43.00x + $1,059.35
B.
$1,059.35 < $43.00x + $1,059.35
C.
$466.43 + $43.00 + x < $1,059.35
D.
$43.00x + $466.43 < $1,059.35
Answers
Answer:
D. $43.00x + $466.43 < $1,059.35
Step-by-step explanation:
He has $1,059.35.
The amount of speakers he buys is x.
Each speaker is $43.00, and he is buying one television, which is $466.43.
All of the speakers he buys and(+) the television must be less than $1,059.35 because that's all he has. It cannot be more, which is why the equation is $43.00x + $466.43 < $1,059.35.
Hope this helps!
Answer:
D
Step-by-step explanation:
its $43 each and he wants to buy more than one so that means thats x
that marks out C
so 43.00x +466.43 is less than 1,059.35
I really feel like one of them should have less than/greater than or equal to sign but without I think its D
To estimate the average amount of time it takes a professional football player to run a mile, a sample of 20 players yielded an average time of 6.32 minutes. What is the statistic
Answers
The average amount of time it takes a professional football player to run a mile is = 18.96 seconds
Calculation of the average time of a footballerThe total number of players that made up the sample data = 20
The average time for the whole players was = 6.32minutes.
If 20 players = 6.32 mins
∴ 1 player = ?
Make the unknown the subject of formula,
? = 1 × 6.32/20
? = 6.32/20
? = 0.316 mins
To converted to seconds multiply by 60,
Therefore, 0.316 × 60 = 18.96 seconds.
Learn more about time conversion here:
https://brainly.com/question/11947673
Wyatt walks
3
miles each day for
6
days.
Aaliyah walks
4
1
2
miles each day for
6
days.
How many more miles will Aaliyah walk in
6
days than Wyatt?
Answers
Step-by-step explanation:
The distances walked are as follows:
Wyatt: (3 mi/day)(6 days) = 18 mi
Aaliyah: (4.5 mi/day)(6 days) = 27 miles Aaliya walks 9 miles farther than Wyatt in 6 days.
50 POINTS!
3. Find the values of the 30th and 90th percentiles of the data. 129, 113, 200, 100, 105, 132, 100, 176, 146, 152 *
1 point
30th percentile = 105 90th percentile = 200
30th percentile = 113 90th percentile = 200
30th percentile = 105 90th percentile = 176
Answers
Answer:
30th percentile = 105 90th percentile = 176
Step-by-step explanation:
Arrange the data set in order from smallest to largest:
100, 100, 105, 113, 129, 132, 146, 152, 176, 200
30th percentile
r = number of data values = 10
q = percentile = 30
q/100 = 30/100 = 0.3
q/100 × r = 0.3 × 10 = 3
Therefore, count the 3rd number in the ordered set.
⇒ 30th percentile = 105
90th percentile
r = number of data values = 10
q = percentile = 90
q/100 = 90/100 = 0.9
q/100 × r = 0.9 × 10 = 9
Therefore, count the 9th number in the ordered set.
⇒ 90th percentile = 176
30th percentile = 105, 90th percentile = 176
Explanation:
data {129, 113, 200, 100, 105, 132, 100, 176, 146, 152}
arrange in ascending order:
{100, 100, 105, 113, 129, 132, 146, 152, 176, 200}
30th percentile: 10590 th percentile: 176
There are 126 students in theater at a school. On a certain day, 94 of the students in choir went on a field trip. What percent of student stayed at school instead of going on the field trip? Round to the nearest whole percent.
Answers
Answer:
Step-by-step explanation:
First find the number of students who stayed home.
# students who stayed home = Total number - the choir members.
Total number = 126
Choir members = 94
Stay at homes = 126 - 94 = 32
Formula
Stay at home % = (32 / 126) * 100
Stay at home %= 0.25397 * 100
Stay at home % = 25.397
To the nearest whole %, the answer is 25
Answer:
126/94 = 1.34
1% of the students stayed at school
Step-by-step explanation:
help 8 th grade math
Answers
Answer:
6 is A
Step-by-step explanation:
-5 x -4 = 20
-5 x 7x = -35x
Pierre throws a snowball up in the
air. The height of the snowball in
feet, h(x), can be represented by
h(x) = -0.5x2 + 6x + 4, where x is
the horizontal distance the snowball
travels in feet. Pierre wants to
know how far the snowball has
traveled when the height is 20
feet.
Answers
Using the given function, it is found that the snowball traveled 4 feet when the height is 20 feet.
What is the function for the ball's height?The height when x feet are traveled is given by:
h(x) = -0.5x² + 6x + 4.
When the height is of 20 meters, we have that h(x) = 20, hence:
20 = -0.5x² + 6x + 4.
0.5x² - 6x + 16 = 0
x² - 12x + 32 = 0
(x - 8)(x - 4) = 0
For the first time: x - 4 = 0 -> x = 4.
The snowball traveled 4 feet when the height is 20 feet.
More can be learned about functions at https://brainly.com/question/25537936
In the given figure ABC is a triangle in which angle BAC is equal to 30 degree show that BC = the radius of the circumcircle of triangle ABC whose Centre is O.
Answers
Step-by-step explanation:
First, Join OB and OC.
∠BOC = 2∠BAC
(∵ angle subtended by an arc at the centre = double the angle subtended by it at any point on the remaining part of the circle)
=> ∠BOC = 2 x 30°...(∵ ∠BAC = 30°, Given)
=> ∠BOC = 60°
In, ΔOBC, OB = OC...(radii of same circle)
∴ ∠OCB = ∠OBC...(∠s opp. equal sides of a triangle are equal)
As the sum of angles of a traingle is 180°,
∠OBC + ∠OCB + ∠BOC = 180°
∠OBC + ∠OBC + 60° = 180°...(∵∠BOC = 60°,proved above)
2∠OBC = 120° => ∠OBC = 60°
Thus, we have ΔABC such that,
∠BOC = ∠OBC = ∠OCB = 60°
ΔOBC is an equilateral triangle
BC = OB i.e. BC is equal to the radius of circle.
Hence proved...Hope it helps you!!what the answer to 24/3/7/5=
Answers
Answer:24/3/7/5 = 8/ 35 ≅ 0.2285714
Step-by-step explanation:
Divide: 24/3: 7 = 24/3· 1/7
= 24 · 1/3 · 7
= 24/21
= 3 · 8/3 · 7= 8/7
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 7/1 is 1/7) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, cancel by a common factor of 3 gives 8/
7
.
In other words - twenty-four thirds divided by seven = eight sevenths.
Divide: the result of step No. 1 : 5 = 8/7 : 5 = 8/7 · 1/5
= 8 · 1/7 · 5
= 8/35
Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of 5/1
is 1/5
) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - eight-sevenths divided by five = eight thirty-fifths.
x= degrees 32° x x
Answers
Answer:
32 +x+x=180(Sum of angles of a triangle)
32+2x=180
2x=180-32
2x=148
x=148/2
Therefore,X=74
Answer:
the answer for x is 74°
Step-by-step explanation:
[tex]32 + x + x = 180 \\ 2x + 32 = 180 \\ 2x = 180 - 32 \\ 2x = 148 \\ x = 74 \: degrees[/tex]
Find the measure of angle A.
(BRAINLIEST :D)
Answers
Answer:
180 - 90 - 60
Step-by-step explanation:
all internal angles of a triangle add up to 180. this means A must be equal to 180 - 90 - 60 = 30
Answer:
30
Step-by-step explanation:
A triangle always = 180 degrees :)
So first we can add :D
60 + 90 + a = 180
150 + a = 180
Now we subtract :)
180 - 150 = 30
The answer is 30!
Have an amazing day!!
Please rate and mark brainliest!!
