Answer:
1/27
Step-by-step explanation:
The outcomes when rolling a die are 1,2,3,4,5,6
getting less than 3 = 1,2
P( less than 3) = outcomes of less than 3 / total
= 2/6 = 1/3
Since the events are independent we can multiply the probabilities
P( less than 3, less than 3, less than 3) = 1/3 * 1/3*1/3 = 1/27
find the exact length of side a.
Answer:
Step-by-step explanation:
I think the best way to do this is to find B using the cos law. The two other angles are equal
b = 3sqrt(3)
a = 3
c = 3
b^2 = a^2 + b^2 - 2ab*cos(B)
(3sqrt(3)^2 = 3^2 + 3^2 - 2*3*3 * cos(B)
27 = 9 + 9 - 18*cos(B)
27 = 18 - 18*cos(B)
9 = - 18*cos(B)
9/-18 = cos(B)
-1/2 = cos(B)
B = cos-1(-1/2)
B = 120
<A + <C + 120 = 180
<A = <C
2A + 120 = 180
2A = 60
A = 30
The question says angle A so that's what I did.
Estimate 2371 x1.84 divide 36.92
Answer:
Step-by-step explanation:
2371 x1.84 = 4362
4362 ÷ 36.92 = 118
the answer would be 118.1646804 but since the lowest sig fig in the question is 3 (1.84), we would have to round the answer to 3 SIG figs.
Final answer: 118
4. Which property of similarity can be used to prove triangles DEF and GHI are similar?
Answer:
SSS
Step-by-step explanation:
We know all three sides of both triangles. The common ratio of DEF to GHI is 2/3.
Answer:
SSS
Step-by-step explanation:
Similar triangles must have congruent corresponding angles and proportional corresponding sides.
The numerator and denominator of a fraction are in the ratio of 2 to 5. If the numerator and denominator are both decreased by 2, the fraction is now equal to .
If n = the numerator and d = the denominator, which of the following systems of equations could be used to solve the problem?
2 n = 5 d and 2 n - 4 = d - 2
2 n = 5 d and n - 2 = 2 d - 4
5 n = 2 d and n - 2 = 2 d - 4
5 n = 2 d and 2 n - 4 = d - 2
Step-by-step explanation:
according to question let 2a and 5a be the given rations
2a/ 5a given fraction
2a-2/5a-2
9) Three times a number added to 12 gives -6. Find the number.
Answer:
The number is -6.
Step-by-step explanation:
Variable x = a number
Set up an equation:
3x + 12 = -6
Isolate variable x:
3x = -18
x = -6
Check your work:
3(-6) + 12 = -6
-18 + 12 = -6
-6 = -6
Correct!
Answer:
3x +12=-6
3x=-6-12
3x=-18
x=-18/3
x=-6
PLZZZ HELPPP!! And also plz explain how to do this too me!! Which of the following numbers listed below are solutions to the equation below check all that apply. √s^2 = s
Answer:
option E is the correct answer
Answer:
A and B
Step-by-step explanation:
When S is positive S equals itself but when S is a negative number S turns postive
Example of positive is √7^2=7
example of negative number for S is √-9^2=9 NOT -9
Geometry, please answer question ASAP
Answer:
I think the shape above has an order of 5 because it has a reflectional symmetry of 5.
I hope this helps
PLZ HELP! Also, give an explanation. :)
Answer: First option (your selected answer)
Step-by-step explanation:
(rotating an object 360° will bring it to its original position)
(rotating an object 180° will turn it upside-down)
(rotating an object 90° will make it sideways)
(to calculate the scale factor, pick a point on both triangles that are of the same corner)
ex: A: (-12,12) and A': (4,-4)
(ask yourself what you need to multiply the x and y coordinates of ΔABC by to get the resulting x and y coordinates of the ΔA'B'C')
[tex]-12*-\frac{1}{3}=4\\12*-\frac{1}{3}=-4[/tex]
(you multiply -1/3 to get the x and y value of the second triangle)
(though the provided options do not display the negative scale factor, the scale factor should be negative)
ΔABC - ΔA'B'C', because ΔA'B'C' is obtained by dilating ΔABC by a scale factor of 1/3 and then rotating it about the origin by 180°
Test
Subre
Which of these graphs represents a function?
1
2
1
45-43-2-1,
1 2 3 4 5
5-4-3-
-1:
1 2 3 4
2
3
4
.5
5
W.
X.
2
-2-1,
1 2 3 4
5-4-3-2-N 1 2 3 4 5
-3
.
Y
A w
B.
Х
Ос. Ү
OD. Z
arch
O
RI
99.
a
Answer:
88
Step-by-step explanation:
that's what I got and it was right
Using the theorem of the vertical line test, the graph c represents a function
How to determine the graph?For a graph to represent a function, the graph must pass the vertical line test
The above means that each x value must point to exactly one y value
Using the above as a guide, we can conclude that the graph c represents a function
Read more about functions at:
https://brainly.com/question/4025726
#SPJ5
simplify 1+tan^2x÷1+tan^2x
Answer:
uihuii
Step-by-step explanation:
Jan has three times as many marbles as Liana. If Jan gives 3 of her marbles to Liana,
they will have the same number. How many marbles do they have between them?
(A) 18
(B) 6
(C) 8
(E) 16
Answer:
Step-by-step explanation:
I got 12 so not sure.
3x-3=x+3
2x=6
X=3
So 3x3 =9. +3. =12
it began 63°F, and the temp changed by 8°F over the course of 6 hours whats the minimum and maximum???
Answer:
Minimum Possible Temperature: 55° F
Maximum Possible Temperature: 71° F
Step-by-step explanation:
Beginning temperature: 63° F
Change in temperature: 8° F
If the temperature decreased: 63° F - 8 °F = 55° F
If the temperature increased: 63° F + 8° F = 71° F
Minimum Possible Temperature: 55° F
Maximum Possible Temperature: 71° F
I need help with this question...
Q: Five days last month it rained 6.5 inches. It rained 3.5 inches in 7 days last month. How many inches did it rain those 12 days?
Answer:
57 inches
Step-by-step explanation:
It rained 5*6.5+7*3.5=32.5+34.5=57 inches in the past 12 days
7. Which expression is equivalent to the expression (5.5 X 107)(3.2 x 10') 2 X 105
A. 8.8 x 1011
B. 8.8 x 1021
C. 1.74 x 105
D. 1.74 x 1017
Answer:
soln:
(5.5 × 107)
(3.2 × 10')
+ 2 × 105
_______________
8.8. ×.1011
How many five-digit odd numbers can be formed from the digits 1, 2, 3, 4,and 5 if no digit is repeated?
Answer:
10
Step-by-step explanation:
the answer is 10 because there are only two odd numbers in here and the best. Even so when you put that in two digit odd number then it'll just be interchangeable those four numbers that aren't at the end of
Answer:
72
Step-by-step explanation:
For a five-digit number to be odd it's one digit must be 1,3,5.
So there can be no repeats of any digits.
Let's look at numbers with one's digit being 1.
There are 4 ways to choose the tabs digit.
After that you can choose the hundreds digit 3 ways.
The thousands digit can then be chosen 2 ways.
Then finally the ten-thousands digit can be chosen 1 way.
4×3×2×1=24
24 odd numbers with one's digit being 1 that are 5 digits long only using 1,2,3,4, and 5 with no repeats.
That means there are 24 odd numbers with one's digit being 3 that are 5 digits long only using 1,2,3,4, and 5 with no repeats.
Also means there are 24 odd numbers with one's digit being 5 that are 5 digits long only using 1,2,3,4, and 5 with no repeats.
3(24)=72
If the city bus through Austin travels at 40 miles per hour, how many miles
will it travel in 4.5 hours.
7(2x-7+1 please help
Answer:
14x-42
Step-by-step explanation:
7(2x-7+1 )
7(2x-6)
14x-42
Prove that 1/√2 is irrational
Answer:
Step-by-step explanation:
Let's assume that it is rational , so this number can be represented as[tex]\Large \boldsymbol{}\bf \dfrac{p^{^/is \ an \ integer}}{q^{ / natural}} -irreducible \ \ fraction[/tex]
[tex]\Large \boldsymbol{}\bf \dfrac{1 ^{/ an \ integer }}{\sqrt{2}^{ / not \ \ integer } }[/tex] -Since the denominator is not a natural number then the 1/√2 is respectively an irrational number
Apply the dristrbutie property to factor out the greatest common factor of 9a-18b+21c
Answer:
3 (3a-6b+7c)
Step-by-step explanation:
Answer:
Step-by-step explanation:
The highest common factor is 3.
9/3 = 3
18/3 =6
21/3 = 7
The literals have no common factors that we know of.
Answer: 3(3a - 6b + 7c)
Write an algebraic expression for each verbal expression. 1.One third of a number is twelve less than the number itself 2. Two times the sum of a number and five is twenty
Answer:
1. ⅓*m = m - 12
2. 2(a + 5) = 20
Step-by-step explanation:
1. Let the number be represented by m
Let one-third of the number m, be ⅓*m
If there is 12 less of an amount of something, it implies 12 is to be subtracted from the initial amount.
Thus, 12 less than the number, m is (m - 12)
》⅓*m = m - 12
2. Let the number be represented by a
The sum of the number and 5 is (a+5)
》2(a+5) = 20
Quad DEFG with mZD= (12x - 4),
mZE = (18x + 4)ºmZF = (15x + 10), and
m2G= (5x)
What is the value of x?
Answer: x = 7°
Explanation:
We know that sum of angles of a quadilateral is = 360°
Therefore ATQ
⇒ (12x-4)+(18x+4)+(15x+10)+(5x) = 360
⇒ (12x + 18x + 15x + 5x) + (-4+4+10) = 360
⇒ 50x + 10 = 360
⇒ 50x = 360-10
⇒ 50x = 350
⇒ x = 350/50
⇒ x = 7
Therefore value of x is 7°
Must click thanks and mark brainliest
HELP PLEASE
A tuning fork with a period of 1.95 x 10-3 is struck at the same time as a guitar
string. If 24 beats are heard in 6.0 s, find the possible frequency or frequencies of the guitar string.
Answer:
The possible approximate frequencies of the guitar string are 516.82 Hz and 508.82 Hz
Step-by-step explanation:
The given period of the tuning fork, T₁ = 1.95 × 10⁻³ s
The number of beats in 6.0 s = 24 beats
Therefore, the beat frequency, [tex]f_{beat}[/tex] = 4 beats per second = 4 Hz
Let f₁ represent the frequency of the tuning fork, and let f₂ represent the frequency of the guitar string, we have;
f₁ = 1/T₁ = 1/(1.95 × 10⁻³) ≈ 512.82 Hz
We have;
[tex]f_{beat} = \left | f_2 - f_1 \right |[/tex]
[tex]\pm f_{beat} = f_2 - f_1[/tex]
Therefore, we get;
[tex]4 \, Hz= \left | f_2 - 512.82 \, Hz \right |[/tex]
f₂ - 512.82 = ± 4
∴ f₂ = 512.82 ± 4
The possible frequencies of the guitar string, f₂ ≈ 516.82 Hz or f₂ ≈ 508.82 Hz
Name the property shown by the statement a + (b + 2) = (a + b) + 2
Answer:
The associative property
Step-by-step explanation:
In brief terms, the associative property states that when one has like operations, or an operation and its inverse, one can add parenthesis to the equation without changing the final answer. One can also change the place in which the parenthesis stands in this expression without altering the result. remember, an operation and its inverse refers to any operation and the operation that is done to undo the operation. The following is a list of such operations:
[tex]x^n=b[/tex] [tex]\sqrt[n]{b}=x[/tex]
[tex]a*b[/tex] [tex]a[/tex] ÷ [tex]b[/tex]
[tex]a+b[/tex] [tex]a-b[/tex]
Can someone help me out with this
We know
[tex]\boxed{\Large{\sf Circumference=\pi d}}[/tex]
[tex]\\ \Large\sf\longmapsto Circumference=\dfrac{22}{7}\times 23.4[/tex]
[tex]\\ \Large\sf\longmapsto Circumference=\dfrac{514.8}{7}[/tex]
[tex]\\ \Large\sf\longmapsto Circumference=73.5in[/tex]
Which of these triangle pairs can be mapped to each other using a single translation?
Find the missing angle. PLS HELP FAST !
Answer:
x = 53.5°
Hope this helps... Have a good day!!
To paint a wooden cube, Pinocchio needs 4 grams of paint. When it is dry, he cut the cube into 8 smaller pieces of smaller size. How much paint additional paint does Pinocchio need to paint the unpainted surfaces of the smaller cubes
Answer:
9 grams of paint
Step-by-step explanation:
6×8=48
48÷4= 12
48-12=36
36÷4=9
first multiply 6 by 8 because a cube has six faces and you cut that cube eight times
second after you cut that you will have 48 faces and for every six faces there are 4 grams of paint so you divide 48 by 4 and you get 12 this means that 12 of the faces are painted
next you subtract 12 from 48 and you get 36 this means that 36 faces are not painted
lastly you divide 36 by 4 and you will get 9 grams of paint
Can anyone help plz?
Answer:
just add a small amount and and square the new number
between 2.82 and 2.83 seems a bit closer
Step-by-step explanation:
x x^2
2.8 7.84
2.81 7.8961
2.82 7.9524
2.83 8.0089
2.84 8.0656
2.85 8.1225
2.86 8.1796
2.87 8.2369
traders fix the price of cosmetic items 30% above the cost price when he sold an item at 25% discount there was a loss of Rs 15 find the cost price and marked price of the item
Cost price is Rs600 and marked price is Rs780.
Must click thanks and mark brainliest
find the largest 5 digit number which is a perfect square
Answer:
Hello,
[tex]316^2=99856[/tex]
Step-by-step explanation:
Since
[tex]\\\sqrt{99999} =316,22618...\\\\The\ largest\ 5\ digit\ number\ which\ is\ a \ perfect\ square\ is\ 316^2=99856}\\[/tex]
