Answer:
Hello,
What is tan 30°?
[tex]tan(30^o)=\dfrac {\sqrt{3} }{3}[/tex]
Step-by-step explanation:
[tex]sin(30^o)=\dfrac{1}{2} \\\\cos(30^o)=\dfrac{\sqrt{3} }{2} \\\\\\tan(30^o)=\dfrac{sin(30^o)}{cos(30^o)} \\tan(30^o)=\dfrac{\dfrac{1}{2} } { \dfrac{\sqrt{3} }{2} }\\\\ =\dfrac {1*2}{2*\sqrt{3} }\\\\ =\dfrac {\sqrt{3} }{3}[/tex]
The value of tan 30° is 1/√3
What is tangent of an angle?The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.
In other words, it is the ratio of sine and cosine function of an acute angle such that the value of cosine function should not equal to zero.
Tan 30° = sin 30° / cos 30°
We know that, sin 30° = 1/2
cos 30° = √3/2
Therefore,
Tan 30° = 1/2 ÷ √3/2
Tan 30° = 1/2 x 2/√3
Tan 30° = 1/√3
Hence, the value of tan 30° is 1/√3
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Find:P(large or blue)
Answer:
7/10
Step-by-step explanation:
Total number = 17+3+8+12 = 40
The ones that are large are 17 and 8
The ones that are blue are 17 and 3
Do not count the 17 twice
P(large or blue) = (17+3+8)/40
= 28/40
=7/10
please help I have 3 mins left
Answer:
the first one is 3.7 x 10^-4
and the second one is 3.7 x 10^4
explanation:
when we have decimals we are going backward,
therefore "0.00037" would be a negative number
to find the scientific notation form, we have to move the decimal over to the left untill we get 3.7
it took 4 moves to the right to get to 3.7, and since were dealing with decimals it will be negative,
so the first one is 3.7 x 10^4
the second one however is not a decimal so it will be a positive exponent.
now remember that there is always a decimal after a number we might just not see it.
so, going from the very end of the number it takes us 4 moves to the left to get to 3.7
so,
the second one will be 3.7 x 10^4
hope this helped :)
The interest on an investment varies directly as the rate of interest. If the interest is $41 when the interest rate is
4%, find the interest when the rate is
7.2%
Answer:
Interet varies directly as rate
I=KR
K=I/R
K=41/4
=10.25
I=KR
I=10.25R
I=10.25*7.2
I=$73.8
Mark as brainliest
plzzzzzzzz helllllllppppppppp
Answer:
C
Step-by-step explanation:
He want's the bookshelf to be 1.5 feet taller than 1/4 of the height of his plant
If his plant's height is p, 1/4 of it's height would be 1/4p
As he wants the bookshelf to be 1.5 feet taller than this, the height should be
1.5 + 1/4p, which can also be written as p/4 + 1/5
Answered by g a u t h m a t h
Answer:
1/4p +1.5
Step-by-step explanation:
p = plant stand
The bookshelf is 1/4 the height of the plant stand plus 1.5 ft
1/4p +1.5
Write an inequality, in slope-intercept form, for the graph below. If necessary,
use *<=' for sor">=' for .
(0,4)
(2.0)
Answer:
y<=(-2x+4)
Step-by-step explanation:
The equation of line is y=-2x+4. For the region left of it, y<=(-2x+4)
Which graph represents the solution set of the inequality 11 ≤ 2x + 5 ≤ 15
Answer:
D.
Step-by-step explanation:
First, simply the inequality.
[tex]11\leq 2x+5\leq 15\\6\leq 2x\leq 10\\3\leq x\leq 5[/tex]
Based on the simplified inequality, you are looking for a line with closed points on 3 and 5. Therefore, the answer is D.
Write The Greatest 8digit Number using three different digits
Answer:
99999987
Step-by-step explanation:
A typical social security number Is 555-47-6693. How many social security numbers are possible if the first 2 digits cannot be 0’s
look at the image below
Answer:
37.3m**3
Step-by-step explanation:
1/3*7*4*4 = 37.3m**3
Answer:
Pyramid Volume = (area of base * height) / 3
Pyramid Volume = (4 * 4 * 7) / 3
Pyramid Volume = 112 / 3
Pyramid Volume = 37.33333 cubic meters
http://www.1728.org/volpyrmd.htm
Step-by-step explanation:
I ONLY need 8c
Please show ALL STEPS
Answer:
8c
f(g(x)) = x^4 + 2x^3 - x
g(f(x)) = x^4 + 2x^3 + 2x^2 - x
Step-by-step explanation:
f(x) = x^2 - x ; g(x) = x^2 + x
f(g(x)) = (x^2 + x)^2 - (x^2 + x)
f(g(x)) = (x^2 + x)^2 - x^2 - x
f(g(x)) = (x^2 + x)(x^2 + x) - x^2 - x
f(g(x)) = x^4 + x^3 + x^3 + x^2 - x^2 - x
f(g(x)) = x^4 + 2x^3 - x
g(f(x)) = (x^2 - x)^2 + x^2 - x
g(f(x)) = (x^2 + x)(x^2 + x) + x^2 - x
g(f(x)) = x^4 + x^3 + x^3 + x^2 + x^2 - x
g(f(x)) = x^4 + 2x^3 + 2x^2 - x
45%of the total population of a village are males and there are 22000 females Find the male population of the village.
Answer:
18000
Step-by-step explanation:
The 22000 females make up 55% of the population. So, we divide 22000 by 0.55 to get the total population.
22000 ÷ 0.55 = 40000
Now we take our total population and subtract 22000 to get the number of males in the population.
40000 - 22000 = 18000
The male population of the village is 18000.
find the value and express it in standard form : 5×10^8×2×10^11
Answer:
1*10^20
Step-by-step explanation:
5×10^8×2×10^11= 5*2*10^(8+11)= 10*10^19= 10^ (1+19)= 10^20= 1*10^20.
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the mode of some data is 20 if each value is increased by 2 what will be the mode of the data
what is the answer
Answer:
40
Explanations
Have to multiple 20 by 2 then your answer would be 40
The mode of the increased data will be 22.
What is the mode?The mode is that specific value that is found several times in a certain observation of a set of values.
How to calculate the mode of increased value?Here, mode of some data is 20.
Therefore, 20 is the most repeated value of that data observation.
Now, the each of value is increased by 2.
Then, the mode will be (20+2)=22
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1 +32-10 divided by 2
Step-by-step explanation:
1+32-10 ÷21+32-533-528Hope it is helpful to youThe value of the numerical expression 1 + 32 – 10 ÷ 2 will be 28.
What is Algebra?Algebra is the study of graphic formulas, while logic is the interpretation among those signs.
The numerical expression is given below.
⇒ 1 + 32 – 10 ÷ 2
According to the PEMDAS rule, the computation wrapped in quotes or the parenthesis comes first in the sequence of operation.
This rule is used to solve the equation in a proper and correct manner.
PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction.
⇒ 1 + 32 – (10 ÷ 2)
Simplify the numerical expression, then the expression will be
⇒ 1 + 32 – 5
⇒ 33 – 5
⇒ 28
Then the value of the numerical expression 1 + 32 – 10 ÷ 2 will be 28.
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Find the number of squares given in the picture below.
Answer:
es ocho es facil cuenta si esque estoy bien
Step-by-step explanation:
write an equivalent expression without negative exponent for 5 to the negative 4th power
Hi! I'm happy to help!
To solve this problem, we need to first solve [tex]5^{-4}[/tex].
Negative exponents divide the number by x instead of multiplying. So, [tex]5^{-4}[/tex] is 1/625. Since we can't use another negative exponent, we can use a number that would decrease with a positive exponent. In this situation, we can use the inverse of 5, which is [tex]\frac{1}{5}[/tex], and put this to the fourth power. [tex]\frac{1}{5} ^{4}[/tex]
This expression also equals 1/625.
I hope this was helpful, and keep learning! :D
Players A and B play a basketball game in which they take turns shooting the ball, and the first player to make their shot wins. Player A has probability 2/3 of making each of her shots. Player B has probability 1/2 of making each of his shots. If Player A shoots first, what is the probability that she will win
Answer:
Player A has a probability 2/3 of making each of her shots, then she has a probability 1/3 of missing each shot.
Player B has a probability 1/2 of making each of his shots, then he also has a probability 1/2 of missing each shot.
Let's separate each case.
Let's define:
P(x) = probability of winning at the "x" shot.
Player A wins on the first shot.
Because she has a probability 2/3 of making each of her shots, the probability of winning at the first shot is
P(1) = 2/3
Now let's see the next case, player A wins at her second shot.
This means that first, she misses her first shot, with a probability of:
p₁ = 1/3
Player B must miss his shot, the probability is:
p₂ = 1/2
Now player A must make her shot, so the probability is:
p₃ = 2/3
The joint probability is the product of the individual probabilities, so we have:
P(2) = (1/3)*(1/2)*(2/3) = 1/9
Now we can see the pattern, for P(3) we have
A misses: p₁ = 1/3 (first shot of A)
B misses: p₂ = 1/2
A misses: p₃ = 1/3 (Second shot of A)
B misses: p₄ = 1/2
A makes the shot: p₅ = 2/3
P(3) = (1/3)*(1/2)*(1/3)*(1/2)*(2/3) = 1/54
We already can see the pattern.
P(n) = (1/3)^(n - 1)*(1/2)*(n - 1)*(2/3)
Player A has a probability P of winning, and we can write P as:
P = P(1) + P(2) + P(3) + ...
Then we will have:
P = 2/3 + 1/9 + 1/54 + 1/324 + ... ≈ 0.8
Each Friday, the sixth grade students in Mr. Shin's physical education class spend the first five minutes doing crunches. Instead of keeping track of the weekly total number of crunches, Mr. Shin keeps track of how they do compared to the week before, and then records the result as a positive or negative number. Record the number for each of the following:
Ben did 10 more crunches this week than last week. What number would Mr. Shin record?
Gail did 8 less crunches this week than last week. What number would Mr. Shin record?
Nathaniel did the same number of crunches this week as last week. What number would Mr. Shin record?
awnser asap
Answer:
Mr. Shim would record the number +10 or 10 for Ben because of the word "more".
For Gail, Mr. Shin would record the number -8 because of the word, "less''.
Since Nathaniel did not improve or decrease the number of crunches, Mr. Shin would record the number 0.
I hope this helps better
Solve four and two fifths plus two and two thirds
consider the functions f(x)=-2x+4 and g(x)=8x-2 calculate the coordinates of the x and y interceptes of f(x)
Answer:
It more complex .Try to take help toggely
the triangular side wall of the flower has been used of advertisement the side of a wall or 122m 12 and 120m the advertisement yeild an earning of rupees 5000 per metre square square A company hired one of its wall for 3 months how much rent did it pay
refer the attached image for the answer
HOPE SO IT HELPS YOU
Four fifths of Ali's elephants have long tusks. If Ali has 10 elephants, how many elephants have short tusks?
Cuatro quintas partes de los elefantes de Ali tienen colmillos largos. Si Ali tiene 10 elefantes, ¿cuántos elefantes tienen colmillos cortos?
Answer:
2 elephants have short tusks.
Step-by-step explanation:
Long tusks: 4/5
Short tusks: 1/5
1/5 = x/10
x = 2
What is the measure of MBT?
[tex]\\ \sf\longmapsto 17x-6=5x+18[/tex]
[tex]\\ \sf\longmapsto 17x-5x=18+6[/tex]
[tex]\\ \sf\longmapsto 12x=24[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{24}{12}[/tex]
[tex]\\ \sf\longmapsto x=2[/tex]
Now
[tex]\\ \sf\longmapsto \angle{MBT}[/tex]
[tex]\\ \sf\longmapsto 5x+18[/tex]
[tex]\\ \sf\longmapsto 5(2)+18[/tex]
[tex]\\ \sf\longmapsto 10+18[/tex]
[tex]\\ \sf\longmapsto 28[/tex]
Answer:
m∠MBT = 28°
Step-by-step explanation:
BN is an angle bisector. This makes ∠NBM and ∠MBT equal.
[tex]17x-6=5x+18\\12x-6=18\\12x=24\\x=2[/tex]
Finally, substitute the value for the variable.
[tex]5(2)+18\\10+18\\28[/tex]
Therefore, m∠MBT = 28°.
Question is in the picture.
Answer:
I dont know sorry
Step-by-step explanation:
Help needed! Thank you!
Which of the following is correct based on this picture?
A. sinD=3124
B. cosK=3124
C. tanK=3124
D. tanD=3124
Answer:
C but see below.
Step-by-step explanation:
If I'm reading this correctly, you mean 31/24. It really can't be much else. The sine and cosine are both incorrect because both involve the hypotenuse which must be calculated in order for them to be considered. In addition 31/24 is greater than one which is impossible for both the Sine and the Cosine.
That leaves K and D
Tan(D) = 24/31 which is not an option.
That leaves C.
tan(K) = 31/24 which is what you have to choose. If your choice is not written this way, then there is no answer.
Answer:
The answer to this problem is C. tanK=3124
Inverse Function Question
Determine the expression of f^-1(x) for f(x)=e^x
First, find the inverse of f,
[tex]y=e^x[/tex]
[tex]x=e^y[/tex]
Now take the natural logarithm on both sides,
[tex]\ln x=\ln e^y\implies f^{-1}(x)=\boxed{\ln(x)}[/tex]
Second, find the inverse of g,
[tex]y=5x\implies g^{-1}(x)=\boxed{\frac{x}{5}}[/tex]
Now take their composition,
[tex](g\circ f)(x)=g(f(x))=\frac{\ln(x)}{5}[/tex]
Let [tex]y=\frac{\ln(x)}{5}[/tex], now again find the inverse,
[tex]x=\frac{\ln(y)}{5}[/tex]
[tex]5x=\ln y[/tex]
exponentiate both sides to base e,
[tex]e^{5x}=e^{\ln y}\implies (g\circ f)^{-1}(x)=\boxed{e^{5x}}[/tex]
Hope this helps :)
a test has 10 multiple-choice questions with 6 choices each, followed by 35 true/false questions. if a student guesses on each equation, how many ways can he answer the questions on the test
Answer:
6¹⁰×2³⁵
Step-by-step explanation:
he has 6 choices for the first multiple choice question.
and for each of those he had again 6 more choices to answer the second question. 6×6 = 36
so, for all 10 multiple choice questions he answer in
6¹⁰ different ways = 60466176 ways
then there are 35 true/false questions, which are Bausch again multiple choice questions but with only 2 options instead of 6.
so we get 2³⁵ different possibilities. a huge number.
and they're possible for each of the 60466176 ways of the multiple choice part.
so, in total we have
6¹⁰×2³⁵ different answer possibilities.
How would A = L + O be rewritten to solve for O?
Answer:
A - L = O
Step-by-step explanation:
A = L + O
Subtract L from each side
A-L = L + O - L
A - L = O
The way that the given formula A = L + O can be rewritten to solve for O is; O = A - L
How to change subject of formula?We are given the formula to find A as;
A = L + O
Now, to make O the subject of the formula, let us use subtraction property of equality to subtract L from both sides to get;
A - L = L + O - L
O = A - L
Thus, the way the formula can be rewritten to solve for O is;
O = A - L
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The measurements of a circular object are given in the ratio table.
a. Find the missing dimensions of other circular objects by completing the ratio table.
b. Graph the pairs of values.
Answer:
answer hajandtb Tj.yfs5bsyb
You are considering the services of three different employment agencies, all of which can get you a job that starts at $2,000 a month. Agency A charges 50 percent of the first month's gross salary. Agency B charges 10 percent of your monthly salary for the first six months. Agency C charges a $100 up-front fee and a flat fee of $500 when you are placed. Compare the three choices. Which of these offers the least expensive overall fee?
Answer:
Agency C offers the least expensive overall fee
Step-by-step explanation:
Alone from gross salary, you would make 24000 a year.
Agency A
24000 - ( 2000 x 0.5)
= 23,000
$1000 fee
Agency B
24000 - ( 2000 x 0.1 ) x 6
= 24000 - 200 x 6
= 24000 - 1200
= 22,800
$1200 fee
Agency C
24000 - (500 + 100)
= 24000 - 600
= 23,400
$600 fee
