Answer:
use Photomath app to answer your question.
The side lengths of a 30-60-90 triangle are in the ratio 1:13: 2. What is
tan 60°?
A
=============================================================
Work Shown:
Refer to the diagram below. The short leg (opposite the 30 degree angle) is equal to 1 unit, the long leg is equal to sqrt(3) units, and the hypotenuse is 2 units long.
For the reference angle 60 degrees, the opposite leg is sqrt(3) units and the adjacent leg is 1 unit
tan(angle) = opposite/adjacent
tan(60) = sqrt(3)/1
tan(60) = sqrt(3)
Answer: tan 60° = √3
Step-by-step explanation: a p e x (screenshot proof)
What is the answer to the following?
Answer:
63
Step-by-step explanation:
Answer:
63 degrees
Step-by-step explanation:
What’s the side length of x2+4x+4
Answer:
(x+2)^2
Step-by-step explanation:
The price of an item has risen to $216 today. Yesterday it was $135. Find the percentage Increase.
12) Find the zeros of the function:
f(x) = x2 + 5x – 36
IS
Answer:
x² +5x - 36
= x² - 4x + 9x - 36
= x(x - 4) +9(x - 4)
= (x - 4) (x+9)
so x = 4, - 9
In a MBS first year class, there are three sections each including 20 students. In the first section, there are 10 boys and 10 girls, in the second section there are 15 boys and 5 girls, and in the third section, there are 12 boys and 8 girls. Five students are selected at random from each group to form committee of 15 students. What is the probability that all the 15 students selected are girls?
Answer:
[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls
Step-by-step explanation:
The selection is from a sample without replacement, so we use the hypergeometric distribution to solve this question.
Hypergeometric distribution:
The probability of x sucesses is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of sucesses.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
All girls from the first group:
20 students, so [tex]N = 20[/tex]
10 girls, so [tex]k = 10[/tex]
5 students will be selected, so [tex]n = 5[/tex]
We want all of them to be girls, so we find P(X = 5).
[tex]P_1 = P(X = 5) = h(5,20,5,10) = \frac{C_{10,5}*C_{10,5}}{C_{20,5}} = 0.0163[/tex]
All girls from the second group:
20 students, so [tex]N = 20[/tex]
5 girls, so [tex]k = 5[/tex]
5 students will be selected, so [tex]n = 5[/tex]
We want all of them to be girls, so we find P(X = 5).
[tex]P_2 = P(X = 5) = h(5,20,5,5) = \frac{C_{5,5}*C_{15,5}}{C_{20,5}} = 0.00006[/tex]
All girls from the third group:
20 students, so [tex]N = 20[/tex]
8 girls, so [tex]k = 8[/tex]
5 students will be selected, so [tex]n = 5[/tex]
We want all of them to be girls, so we find P(X = 5).
[tex]P_3 = P(X = 5) = h(5,20,5,8) = \frac{C_{8,5}*C_{12,5}}{C_{20,5}} = 0.0036[/tex]
All 15 students are girls:
Groups are independent, so we multiply the probabilities:
[tex]P = P_1*P_2*P_3 = 0.0163*0.00006*0.0036 = 3.52 \times 10^{-9}[/tex]
[tex]3.52 \times 10^{-9} = 3.52 \times 10^{-7}\%[/tex] probability that all the 15 students selected are girls
help plsssss ayuda pls
Answer:
PERDON POR HACER ESTO
Step-by-step explanation:
NO ENTIENDO
Jessica is making 2 loaves of bread she needs 3/4 cup of sugar for each loaf her measuring cup only holds 1/4 cup how many times will the cup need to be filled
Answer:
The cup will be filled 6 times.
Step-by-step explanation:
If her measuring cup only holds 1/4 cups then we need to find how many 1/4 cups are in 3/4 cups:
(1/4) + (1/4) + (1/4) = 3/4
3/4 = 3/4
The measuring cup will have to be filled 3 times for 1 loaf.
If she has 2 loaves that means that she has to fill her 1/4 measuring cup 6 times (because 2 * 3 = 6)
Hope this helps!!
- Kay :)
random khan question and I haven't done this in a year, I'm struggling.
Answer:
Add maybe
Step-by-step explanation:
add the 500+400+200 try that hope it helps have a great day
ABCD is a cyclic quadrilateral in which AB parallel to CD if angle D is equals to 70 degree find all the remaining angles
Answer:
angle a is 110
angle B is 110
angle C is 70
Find the value of x. Please help!
Answer:
x = 3
Step-by-step explanation:
Using the triangle similarity theorem
x/x+3 = x+3/12
Cross multiply
12x = (x+3)(x+3)
12x = x²+3x+3x+9
12x = x²+6x+9
x²+6x+9-12x = 0
x²-6x+9 = 0
Factorize
x²-3x-3x+9 = 0
x(x-3)-3(x-3) = 0
x - 3 = 0
x = 3 twice
Hence the value of x is 3
Help I don’t know the answer
Answer:
the last one
Step-by-step explanation:
the input cannot be negative
Which expression is equivalent to
3x + 2(4y + x)?
Hurry please, thanks!
Answer:
A.
Step-by-step explanation:
please help asap!!!
What is the decimal value of 4/11? Show long division.
How do you know that 4/11 is a repeating decimal?
Answer:
0.3636363636363636
Step-by-step explanation:
Its a repeating decimal because 4 cannot be divided by 11
There ya' go :]
Find the 8th term of the geometric sequence 3, 12, 48, ....
Answer:
The eighth term of the geometric sequence 3, 12, 48 ... is 49,152. You just multiply every number by 4 :)
So, the required 8th term is 49152.
Geometric Series:The Geometric series formula or the geometric sequence formula gives the sum of a finite geometric sequence.
The sequence will be of the form [tex]\{a, ar, ar^2, ar^3, ..\}[/tex]
And the formula for the nth term is [tex]t_n=ar^{n-1}[/tex]
The given series is,
3, 12, 48, ....
First term=3
The common ratio is,
[tex]\frac{12}{3}=4\\ \frac{48}{12}=4[/tex]
So, the given series is geometric series so the 8th term by the above formula is,
[tex]t_8=3\times (4)^{8-1}\\t_8=49152[/tex]
Learn more about the topic Geometric Series:
https://brainly.com/question/26042879
Multiply.
(3x + 1)(x + 7)
Answer:
the answer is 3x^2 + 22x + 7
Step-by-step explanation:
Expand the polynomial using the FOIL method.
hoped this helped!
brainly, please?
Answer:
3x^2+22x+7
Step-by-step explanation:
ANSWER ASAP!!!!!!!!!!!!!!!
Answer:
linear and increasing
Step-by-step explanation:
uwu
Need help on this please
what is the value of x in 2x = 64
Answer:
2×=64
2×/2=64/2
×=32.....x is solved
Answer:
x=32
Step-by-step explanation:
when divided by 2, 64 is equal to 32
Find the measure of CD.
Round to the nearest tenth.
mCD=[?]degrees
Answer:
m(arc CD) = 14.1 cm
Step-by-step explanation:
Measure of an arc of the circle = [tex]\frac{\theta}{360}(2\pi r)[/tex]
Here 'r' = radius of the circle
θ = Angle subtended by the arc at the center of the circle
From triangle OED,
sin(∠EOD) = [tex]\frac{ED}{OD}[/tex]
sin(∠EOD) = [tex]\frac{\frac{12.7}{2}}{9.06}[/tex]
= [tex]\frac{6.35}{9.06}[/tex]
= 0.7
m∠EOD = 44.498
≈ 44.5°
Angle subtended by the arc CD at the center = m∠COD
= 2(44.5)
= 89°
m(arc CD) = [tex]\frac{89}{360}(2\pi)(9.06)[/tex]
= 14.07
≈ 14.1 cm
2 points
4. In 2016, a school started its own aquarium with x fish. In 2019, there
were x^2 fish in the same aquarium. There were 144 fish in 2019. How
many fish were there in 2016? Show your work *
Answer:
171 fish
Step-by-step explanation:
512/3=170.667 (keeps going on but I just rounded it to add 1 to the total of 170) so that is why 171 is the answer.
(1+h): - 1
A. lim
h>0
h
f(0) =
х
a =
1
B. lim
h>0
cos(1 + h) +1
h
f(3) =
a =
7T
5(4+ h)" - 5120
C. lim
h->0
h
f(x) =
a =
4
o
D. lim
h 0
e4h - 1
h
f(x) =
a =
e
Х
Pls take a look at the picture
Each of these limits correspond to the derivative of some function f(x) at a point x = a.
Recall the limit definition of a function f(x) :
f '(x) = lim [h → 0] ( f(x + h) - f(x) ) / h
Then if x = a, we get
f '(a) = lim [h → 0] ( f(a + h) - f(a) ) / h
From here, it's easy to identify what each function and point should be:
(a) f (a + h) = (1 + h)¹ʹ³ → f(x) = x ¹ʹ³ and a = 1
(that's a 1/3 in the exponent)
(b) f (a + h) = cos(π + h) → f(x) = cos(x) and a = π
(c) f (a + h) = 5 (4 + h)⁵ → f(x) = 5x ⁵ and a = 4
(d) f (a + h) = exp(4h) = exp(4 (0 + h)) → f(x) = exp(4x) and a = 0
(where exp(x) = eˣ )
solve d+7=13 please!!!
Answer:
d=6
Step-by-step explanation:
d+7=13
-7 -7
-----------
d=6
Answer:
hi
Step-by-step explanation:
[tex]d + 7 = 13 \\ d = 13 - 7 \\ d = 6[/tex]
have a nice day bye
sketch the graph of each function. Then State the domain, range and increasing, decreasing intervals. Part 3.
Answer:
19) Domain: - ∞ < x < ∞ 20) Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞ Range: - ∞ < y < ∞
Increases throughout Decreases throughout
Step-by-step explanation:
Given the parent function " y = ∛x" we know that the first graph should have a vertical shift down 2 units, and a horizontal shift 4 units to the right. There is no vertical stretch since there is no coefficient. (Check first graph)
Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞
Increases throughout
______________________________
For the second graph there should be a vertical shift down three units, a horizontal shift 1 unit to the left, and a vertical stretch by a factor of - 1. (Check second graph)
Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞
Decreases throughout
What is the range of the following set of data?
4, 8, 3, 5,5,7,6,4
Step-by-step explanation:
4 + 8 + 3 + 5 + 5 + 7 + 6 + 4 divided 8
42 divided 8
5,25
cmiiw!
A deck of 52 cards contains 12 picture cards. If the 52 cards are distributed in a random manner among four players in such a way that each player receives 13 cards, what is the probability that each player will receive three picture cards
Answer:
The probability that each player will receive three picture cards = 0.0324
Step-by-step explanation:
As given,
A deck of 52 cards contains 12 picture cards
Remaining card = 52 - 12 = 40
So,
Total number of ways in which 12 picture card is distributed = [tex]\frac{12!}{3! 3! 3! 3!}[/tex]
Now,
The Total number of ways in which Remaining cards are distributed = [tex]\frac{40!}{10! 10! 10! 10!}[/tex]
So,
Total number of ways of getting 3 picture card and remaining card = [tex]\frac{12!}{3! 3! 3! 3!}[/tex]× [tex]\frac{40!}{10! 10! 10! 10!}[/tex]
= [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]
Now,
Total number of ways to distribute 52 cards so that each people get 13 card = [tex]\frac{52!}{13! 13! 13! 13!} = \frac{52!}{ (13!)^{4} }[/tex]
∴ The probability = [tex]\frac{\frac{12! 40!}{(3!)^{4} (10!)^{4} }}{\frac{52!}{(13!)^{4} }}[/tex]
= [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]×[tex]\frac{(13!)^{4} }{ 52! }[/tex]
= [tex]\frac{12! 40!}{(3!)^{4} (10!)^{4} }[/tex]×[tex]\frac{(13.12.11.10!)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41.40! }[/tex]
= [tex]\frac{12!}{(3!)^{4} }[/tex]×[tex]\frac{(13.12.11)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}[/tex]
= [tex]\frac{479,001,600}{(6)^{4} }[/tex]×[tex]\frac{(1716)^{4} }{ 52.51.50.49.48.47.46.45.44.43.42.41}[/tex]
= 0.0324
∴ we get
The probability that each player will receive three picture cards = 0.0324
Ally and Beck went fishing and caught a total of 75 fish. At home,
Ally told Jair she caught twice as many fish as she actually caught.
Beck told Jair he caught three times as many fish as he actually
caught. If what they told Jair had been true, then Ally would have
caught 75 fewer fish than Beck. How many fish did Beck actually
catch?
Answer:
Beck actually caught 45 fish
Step-by-step explanation:
System of Equations
We call the following variables:
x = number of fish Ally caught
y = number of fish Beck caught
They caught a total of 75 fish, thus:
x + y = 75 [1]
If Ally had caught twice as much fish as she actually did, and Beck had caught three times as many fish as he actually did, then Ally would have caught 75 fewer fish than Beck, thus:
3y = 2x + 75 [2]
From [1]:
x = 75 - y [3]
Substituting in [2]:
3y = 2(75 - y) + 75
Operating:
3y = 150 - 2y + 75
Simplifying:
5y = 225
Dividing by 5:
y = 45
Beck actually caught 45 fish
Answer:
Beck caught 45 fish
Step-by-step explanation:
a = number of fish Ally caught
b = number of fish Beck caught
They caught a total of 75 fish, so we have:
b + a = 75
From the facts in our question we know Ally would have caught 75 fewer fish than Beck.
3b = 2a + 75
a = 75 - b
3b = 2(75 - b) + 75
3b = 150 - 2b + 75
5b = 225
5b ÷ 5 = 225 ÷ 5
b = 45
Beck caught 45 fish.
The bigger
the number the more
factor pairs it has.
Use examples to show that Dexter is wrong.
Answer:
See Explanation
Step-by-step explanation:
Required
Prove that Dexter is wrong
To prove that Dexter is wrong, we use the following numbers.
[tex]Number = 4[/tex]
The factors are:
[tex]Factor = 1,2\ and\ 4[/tex]
3 factors
Using a greater number:
[tex]Number = 5[/tex]
The factors are:
[tex]Factor = 1\ and\ 5[/tex]
2 factors
From the above analysis:
4 has 3 factors and 5 has 2 factors; which shows that 5 has fewer factors
This shows that Dexter is wrong
Plz help me! I’m not sure how to do these!
Step-by-step explanation:
2. x =101
3. x= 120
4. x= 30
I am very confused in question no 1 and 5 th .
hope this will be helpful to you.
plz mark my answer as brainlist if you find it useful .
surface area of a sphere with radius 19
Answer:
A≈4536.46
Step-by-step explanation:
I hope this helps! ^^
☁️☁️☁️☁️☁️☁️☁️
Answer:
Radius 19
A ≈ 4536.46 .....ans