Find the exact value, without a
calculator.
30°
sin 15° sin
tan 15º =
2
cos 15° 30°
2
COS
II
[ ? ] - [
] + [
Enter
[tex]sin\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1-cos(\theta)}{2}} \qquad cos\left(\cfrac{\theta}{2}\right)=\pm \sqrt{\cfrac{1+cos(\theta)}{2}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ sin\left( \cfrac{30^o}{2} \right)\implies \sqrt{\cfrac{1-cos(30^o)}{2}}\implies \sqrt{\cfrac{1-\frac{\sqrt{3}}{2}}{2}}\implies \sqrt{\cfrac{~~\frac{2-\sqrt{3}}{2}~~}{2}}[/tex]
[tex]\sqrt{\cfrac{2-\sqrt{3}}{2}\cdot \cfrac{1}{2}}\implies \sqrt{\cfrac{2-\sqrt{3}}{4}}\implies \boxed{\cfrac{\sqrt{2-\sqrt{3}}}{2}} \\\\[-0.35em] ~\dotfill\\\\ cos\left( \cfrac{30^o}{2} \right)\implies \sqrt{\cfrac{1+cos(30^o)}{2}}\implies \sqrt{\cfrac{1+\frac{\sqrt{3}}{2}}{2}}\implies \sqrt{\cfrac{~~\frac{2+\sqrt{3}}{2}~~}{2}} \\\\\\ \sqrt{\cfrac{2+\sqrt{3}}{2}\cdot \cfrac{1}{2}}\implies \sqrt{\cfrac{2+\sqrt{3}}{4}}\implies \boxed{\cfrac{\sqrt{2+\sqrt{3}}}{2}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\cfrac{~~ sin\left( \frac{30^o}{2} \right)~~}{cos\left( \frac{30^o}{2} \right)}\implies \cfrac{~~\frac{\sqrt{2-\sqrt{3}}}{2} ~~}{\frac{\sqrt{2+\sqrt{3}}}{2}}\implies \cfrac{\sqrt{2-\sqrt{3}}}{2}\cdot \cfrac{2}{\sqrt{2+\sqrt{3}}} \\\\\\ \cfrac{\sqrt{2-\sqrt{3}}}{\sqrt{2+\sqrt{3}}}\implies \blacktriangleright \sqrt{\cfrac{2-\sqrt{3}}{2+\sqrt{3}}} \blacktriangleleft[/tex]
What is 25.4 x 10 to the 4th power?
Answer:
254,000
Step-by-step explanation:
What is 25.4 x 10 to the 4th power?
Translate:
25.4 * 10⁴
25.4 * 10,000
When multiplying numbers by 10s, 100s, 1,000s, and so on, all you have to do is move the decimals left (for dividing) or right (for multiplying). The number of spaces you move the decimal is based on the number of zeros following the 1. For example, *100 means moving the decimal two times to the right, and /100 means moving the decimal two places to the left. No calculator is really needed.Here, we will be moving the decimal four times to the right:
25.4 * 10,000
254,000
Note: if you're not sure, you can always use a calculator to double check :)
Hope this helps!
how i do this? help pls
Suppose the sales tax in your town is 4%. What are the interpretations of this ratio?
Select all that apply.
DA. You will pay $40 in sales tax for every $1,000 purchase.
B. You will pay $4 in sales tax for every $10 purchase.
c. You will pay 40 cents in sales tax for every $1 purchase.
D. You will pay $4 in sales tax for every $1,000 purchase.
E. You will pay 4 cents in sales tax for every $1 purchase.
F. You will pay $40 in sales tax for every $100 purchase.
G. You will pay 4 cents in sales tax for every $10 purchase.
H. You will pay 40 cents in sales tax for every $10 purchase.
Answer:
A) {DA???} 0.04x1000=40. Yes
B) 0.4x10 is 4, NOT 0.04. No
C)0.4x1 is 0.4, NOT 0.04. No
D) No
E) Yes
F) No
G) Yes
H) No
a picture on the walls jeremy's classroom has 4 right angles,4 sides of equal length,and 2 pairs of opposite sides that are parallel. what quadrilateral best describes the picture
Answer:
square
Step-by-step explanation:
A quadrilateral with four right angles will be a rectangle. A rectangle with sides of equal length is a square.
Jeremy's picture is a square.
The numbers represented by points w, x and y on the number line are integers.
Under which of the following conditions could the expression, x > 2, be true? Select all that apply.
Answer:
Option A) when y=6 and w= 2, Option B) when y=4 and w=-1 are the TWO correct choices.
Step-by-step explanation:
Step-by-step explanation:
https://brainly.com/question/14500266
Help Me On This!!
I already know the answer but i need a short explanation.
Answer:
option BExplanation:
With every increase in side, there is an increase in dots
1 side = 1 dot2 side = 2 dot3 side = 3 dot4 side = 4 dot=============
Option B has 4 sides and 4 dots.
16. A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain. (2 points)
Answer:
yes
Step-by-step explanation:
A right triangle means that
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {6}^{2} + {8}^{2} = {10}^{2} [/tex]
, which means that it follows the rules of the formula, making it a right triangle.
If this answer helped you I would appreciate it if you gave me brainliest :D
A rectangle is 7 times longer than it is wide. It its perimeter is 144cm, what is it area?
Answer:
9
Step-by-step explanation:
→ Write an expression for the rectangles width
x
→ Write an expression for the rectangles length
7x
→ Now write an equation for the perimeter
x + 7x + x + 7x = 144
→ Simplify
16x = 144
→ Solve
x = 9
Dinasur is spelled Dinasur change my mind
Answer:
I cannot change what is the truth
Step-by-step explanation:
attempt to change the truth would resulted in dinaur catastrophe
giving out 93 points for this question!!! need this ASAP!!
Answer: D
Step-by-step explanation:
The function is continuous. There are no discontinuities, or sharp bends in the curve where the slope is undefined. It extends to negative infinity and goes on to positive infinity. A matter of fact, it looks like a graph of x^2 shifted by a few coordinates. The function therefore is constantly increasing from negative infinity to positive infinity. The function never decreases
can someone help with this pls:)!!!!
Answer:
-8.5
Step-by-step explanation:
no step involved just trace 2 out from y-axis
A Mathematics paper consists of 12 questions of which not more than ten are to be answered. Given that the number of candidates who answer ten questions is equal to the number of candidates who answer nine questions only. Find the probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 if all the questions have the same chance of being selected.
The probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 is 0.4179.
How to calculate probability?The probability that a candidate chosen at random from among these two sets of candidates will have selected questions 1, 2 and 3 will ba calculated thus:
= [(9C6 /12C9) × 1/2] + [(9C7)/12C10) × 1/2]
= 42/220 + 18/66
= 0.1909 + 0.2727
= 0.4179
In conclusion, the probability is 0.4179.
Learn more about probability on:
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I NEED help ASAP!!!!!!!
Step-by-step explanation:
Step 1: Plot the points
L(1,2)
M(0,-1)
J(1,-2)
K(2,-1)
Step 2: Multiply each point by 5.
and record thise points so we have
L(5,10)
M(0,-5)
J(5,-10)
K(10,-5)
Step 3: Plot those points.
Answer:
Graph attached below.
Step-by-step explanation:
After dilation of 5, the new coordinates follow the rule :
(x, y) ⇒ (5x, 5y)The points are :J' = (1 x 5, -2 x 5) = (5, -10)K' = (2 x 5, -1 x 5) = (10, -5)L' = (1 x 5, 2 x 5) = (5, 10)M' = (0 x 5, -1 x 5) = (0, -5)Volume of 12m height base and 6m base cone
Answer:
452.16 m³
Step-by-step explanation:
Given
height, h = 12 mbase radius, r = 6 mFormula
V = 1/3πr²hSolving
V = 1/3 x 3.14 x 36 x 12V = 3.14 x 144V = 452.16 m³If sodium 24 has a half life of 15 hours if there are 800g of na-24 initially how long will it take for 750g of na-25 to decay so that only 50g remains
It would take about 60 hours to decay so that only 50g of the sodium remains
How to calculate half life?The half life is 15 hours and there are 800 g initially. Let N(t) represent the amount of sodium after t hours. Hence:
[tex]N(t)=800(\frac{1}{2} )^\frac{t}{15} \\\\For\ 50g\ to \ remain:\\\\50 = 800(\frac{1}{2} )^\frac{t}{15}\\\\t=60\ hours[/tex]
It would take about 60 hours to decay so that only 50g of the sodium remains
Find out more on half life at: https://brainly.com/question/2320811
Geometry N.6 Properties of parallelograms LLK If AB = 2v - 3 and AD = 6v - 55, find the value of v in parallelogram BCDE. E B А D с V
Answer:
v = 13
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so AB ≅ AD. This relation gives rise to an equation we can solve for v.
2v -3 = 6v -55
52 = 4v . . . . . . . . . add 55-2v to both sides
13 = v . . . . . . . divide by 4
The value of v is 13 in this parallelogram.
The box-and-wishker plots bellow
Answer:
H: Plots 1 & 2
Step-by-step explanation:
help pleaseeee this harddd
Answer:
Step-by-step explanation:
Step-by-step explanation:
#1 1.6
#2 1:2
#3 $160.00
#4 1,800
#5 $360
#6 2
#7 250
I hope I helped you
I'm sorry for late
Find the distance between the two points.
(-3,2)
(0,0)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
Answer:
√13
Step-by-step explanation:
Plug into Distance formula --> √(0-(-3))^2 + (0-2)^2
---> √13
Question Number 16 You are the head seamstress at a boutique that specializes in making prom dresses. You are supervising the construction of a new style of dress that will take 180 hours of work to complete. Twenty percent of this time is for beading. Thirty-five percent of this time is for adding ruffles. The remaining time is divided equally between embroidery and sewing. When pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing. The dress is then sold in the showroom for 25% more than the cost of labor and materials. How much will this dress sell for in the boutique?
This dress will be sold in the boutique for $6,716.25.
Price calculationGiven that a new style of dress will take 180 hours of work to complete, and twenty percent of this time is for beading, thirty-five percent of this time is for adding ruffles, and the remaining time is divided equally between embroidery and sewing, and when pricing this style, hourly labor and material costs are $40 for beading, $35 for ruffles, $20 for embroidery, and $18 for sewing, and the dress is then sold in the showroom for 25% more than the cost of labor and materials, To determine how much this dress will sell for in the boutique, the following calculation must be made:
(((180 x 0.25) x 40) + ((180 x 0.35) x 35) + ((180 x 0.20) x 20) + ((180 x 0.20) x 18)) x 1.25 = X((45 x 40) + (63 x 35) + (36 x 20) + (36 x 18)) x 1.25 = X(1800 + 2205 + 720 + 648) x 1.25 = X5373 x 1.25 = X6,716.25 = XTherefore, this dress will be sold in the boutique for $6,716.25.
Learn more about price calculation in https://brainly.com/question/14695611
Answer:
This dress will be sold in the boutique for $6,716.25.
Step-by-step explanation:
Please Helpp!!!! Pythagorean theorem
Answer:
12.6 = c
Step-by-step explanation:
The Pythagorean therom is a^2 + b^2 = c^2
We already know 2 varibles (12 and 4) so we can just plug them in.
12^2 + 4^2 = c^2
144 + 16 = c^2
160 = c^2
[tex]\sqrt{160}[/tex] = [tex]\sqrt{c^2}[/tex]
12.6 = c
Hope this helps :)
Find two positive numbers whose product is 192 and their sum is a minimum.
Answer:
Since we want a positive number, x = 24. y = 192/x = 8
Step-by-step explanation:
Let x and y be the two positive numbers.
- Their product is 192: x*y = 192
- the sum of the first plus 3 times the second is a minimum: x + 3y
From the first equation, y = 192/x. Substitute that into the second equation:
x + 3y = x + 3(192/x) = x + 576/x
Now take the first derivative, set it to zero, and solve for x:
d(x + 576/x)/dx = 1 - 576/x2
0 = 1 - 576/x2
0 = x2 - 576 [Multiplied both sides by x2]
576 = x2
√576 = √x2
±24 = x
Since we want a positive number, x = 24. y = 192/x = 8
As a check, the factors of 192 are 192*1, 96*2, 48*4, 24*8, 16*12
192 + 3*1 = 195
96 + 3*2 = 102
48 + 3*4 = 60
24 + 3*8 = 48
16 + 3*12 = 52
24 + 3*8 is indeed the minimum
Find the slope of the line passing through the points (7, -3) and (3, -7)
Answer
The slope is (2,4) and (1,2)
Step-by-step explanation:
angle 1- what degree
Answer:
22 degrees
Step-by-step explanation:
The two bottom sides have the same angle which is 79 and all the angles must add up to 180, so 79 plus 79 is 158 and 180 minus 158 is 22.
Hope this helps.
BTW it's my birthday
Answer:
25°
Step-by-step explanation:
Exterior angle property of triangle:
Exterior angle of a triangle equals the sum of oppositer interior angles.
∠1 + 79 = 104
Subtract 79 from both sides
∠1 = 104 - 79
∠1 = 25°
Pleasez help i have to complete this by the end of the 10 min
Answer:
Step-by-step explanation:
red shirt: 10%
green shirt: 20%
not choosing white 10%
not chosing black 20%
where orange shirt???
The management of a restaurant has been studying whether or not new customers return within a month. The collected data reveal that 60% of the new customers have returned. If 90 new customers dine at the restaurant this month, what is the probability that at least 60 will return next month? Use Normal approximation to Binomial distribution.
Using the normal approximation to the binomial, it is found that there is a 0.119 = 11.9% probability that at least 60 will return next month.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].In this problem, we have that:
60% of the new customers have returned, hence p = 0.6.90 new customers dine at the restaurant this month, hence n = 90.Thus, the mean and the standard error for the approximation are given as follows:
[tex]\mu = np = 90(0.6) = 54[/tex][tex]\sigma = \sqrt{np(1-p)} = \sqrt{90(0.6)(0.4)} = 4.6476[/tex]Using continuity correction, the probability that at least 60 will return next month is P(X > 60 - 0.5) = P(X > 59.5), which is 1 subtracted by the p-value of Z when X = 59.5, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{59.5 - 54}{4.6476}[/tex]
Z = 1.18
Z = 1.18 has a p-value of 0.881.
1 - 0.881 = 0.119.
0.119 = 11.9% probability that at least 60 will return next month.
More can be learned about the normal distribution at https://brainly.com/question/24663213
ANSWER QUICK WITH THE ANSWER FOR EXTRA POINTS ⭐️⭐️⭐️⭐️!
What is 9C7 ?
A. 66
B. 55
C. 45
D. 36
Answer:
D. 36
Step-by-step explanation:
The formula for a combination :
ⁿCₓ = n! / (n - x)! x!Here we have ⁹C₇.
⁹C₇ = 9! / (9 - 7)! 7! = 9! / 2! x 7!9 x 8 x 7! / 2! x 7!9 x 8 / 236There are 36 different ways to arrange ⁹C₇. Therefore, the correct answer is option D.
Given that, ⁹C₇.
The number of combinations of n different things taken r at a time, denoted by nCr and it is given by, nCr=n!/r!(n−r)!,where 0 ≤ r ≤ n.
⁹C₇ = 9!/7!(9-7)!
= 9×8×7!/7!×2!
= 9×8/2×1
= 9×4
= 36
Therefore, the correct answer is option D.
To learn more about the permutation and combination visit:
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Find the circumference of a circle whose area is equal to 64π^2
Answer:
14 6/7 is the circumference
Step-by-step explanation:
you first of all look for the radius using the formulae multiply both sides by the reciprocal of 22/7
7/22 ×22/7r=64×7/22=224/11{2 4/11)
2 4/11 is the radius
cir =2×22/7×2 4/11
2×22/7× 26/11=104/7
==== =14 6/7
all i can do but am not sure sorry
