0.81382 is a rational number because it is a terminating decimal.
What is rational number?
A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero, and also whose behavior is known.
What is irrational number?An irrational number is a type of real number which cannot be represented as a simple fraction and also whose behavior is not known.
According to the given question.
We have a number 0.81382
The above number is not repeating but terminating.
Therefore, we can say that the above number is rational because it is a terminating decimal.
Hence, 0.81382 is a rational number because it is a terminating decimal.
Find out more information about rational and irrational number here:
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Forty out of 50 people surveyed in a small towns' coffee shop are
planning on voting in the next election. If there are 400 people in the
town, how many people do you predict will vote in the next election? *
find the direction angel of this vector <-5, 9>
Answer:
θ = -60.94°
Step-by-step explanation:
The given vector is:
v = -5i+9j
We need to find the angle of this vector.
The angle of this vector form is given by :
[tex]\tan\theta=\dfrac{y}{x}\\\\\tan\theta=\dfrac{9}{-5}\\\\\tan\theta=-1.8\\\\\theta=\tan^{-1}(-1.8)\\\\=-60.94^{\circ}[/tex]
So, the angle of this vector is -60.94°.
The diagram shows a wedge ABCDEF.
The base of the wedge is a horizontal rectangle measuring 60cm x 40cm
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Answer:
77.3 cm
Step-by-step explanation:
The distance FA is the diagonal of rectangle ABFE. We know the length AB, so we need to find the length BF. That is found using the trig relation ...
cos(25°) = BC/BF
BF = BC/cos(25°) ≈ (60 cm)/0.906308 ≈ 66.203 cm
Then the diagonal length FA is found using the Pythagorean theorem:
FA = √(AB² +BF²)
FA = √(40² +66.203²) ≈ √5982.79 ≈ 77.349 . . . cm
The diagonal length FA is about 77.3 cm.
✓ = 2x²-4
Is it linear or nonlinear
Question 16
A line has a slope that is undefined Which of the following points could this line pass through?
А
(6, 4) and (4,-5)
B
(8,5) and (8,-5)
С
(2,3) and (4,3)
D
(-7,1) and (7,6)
Answer:
b hope it help
Step-by-step explanation:
Find the value of f(-8).
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Answer:
8
Step-by-step explanation:
F(-8) is found by locating x = -8 on the x-axis, then determining the y-coordinate the graph has at that point.
f(-8) = 8
Can someone help me with Special Segments of a circle?
Answer: Segment (of a Circle) A segment is a region bounded by a chord of a circle and the intercepted arc of the circle. A segment with an intercepted arc less than a semicircle is called a minor segment. A sector with an intercepted arc greater than a semi-circle is called a major segment.
I hope this helped you but, I didnt know the ones on your assignment :)
Plz help ill give u brainliest I tried but cant answer pls help
Answer:
the fraction is already in its simplest form
Please help me I'm really stuck on this!
Answer:
1. 8
2. 9
3. 1
4. 3
5. 125/1000
Step-by-step explanation:
hope I helped :)
Can anyone help me choose the correct answer?!
Answer:
f(x)=9x-7
when x=-1
f(-1)=9×-1-7=-9-7=-16
when x=0
f(0)=9×0-7=-7
other are similar to this
What is the area of the square given the side length 20.5in
Answer: 420.25in^2
Step-by-step explanation:
Area of Square = s^2
20.5^2 = 420.25
PLS HELP!!!! I dont understand this.
Answer:
a) 3m + m
b) 2m + 2m
Answer:
Step-by-step explanation:
a) 3m + m
b) 2m + 2m
Covert this repeating decimal into a fraction ANSWER CHOICES 4936/990, 530/900,674/990,8099/990
At noon on Monday, the temperature was 20° Fahrenheit. The formula for converting temperatures in Fahrenheit (F) to temperatures in Celsius (C) F - C + 32
What was the approximate temperature in Celsius at noon on Monday?
-21
-7
29
52
Draw a line say ab take point c out of it through c draw a line parellel to ab using compass and ruler only
Answer:
give me brainliest
Given a line AB with Point C outside it.
Mark point D on the line AB. Join CD
With D as center, and any radius, draw an arc intersecting AB at E, and CD at F.
With C as center, and same radius as before, draw an arc intersecting CD at G.
Open a compass to length EF
Now,with G as center, and compass opened the same radius as before, draw an arc intersecting the previous arc at H.
Draw a line m passing through C and H.
Thus m is the line parallel to AB, and passing through point C
∴m∣∣AB
Step-by-step explanation:
ذا كان | 4س - 2 |= -6 فان قيم (س) هي
Answer:
Which language is this I don't understand
what is the area of the triangular prism repersented by the net below?
Answer:
Step-by-step explanation:
attach an image
250/36 =
250 divided by 36 =
ots shjshdhusksjbsu8osjd
Answer:
0.144
Step-by-step explanation:
[tex] \sqrt[250]{36} [/tex]
[8x(7 divided by 7)] ^2
Answer:
Step-by-step explanation:
[8 * (7÷7)]² = [8 * 1]²
= 8²
= 64
The operation in the inside parenthesis should be done first.
Log10 (2x + 1) - logio(3x - 2) = 1
Answer: x=3/4
Step-by-step explanation:
To solve, first express the left side as one logarithm. To do so, apply the quotient rule which is log_bM/N=log_bM-log_bN .
log((2x+1)/(3x-2))=1
Then, express the equation to its equivalent exponential form to eliminate the logarithm.
Note that the exponential form of log_b M=a is M=b^a .
Since the base of the logarithm in the given equation is not written, it indicates that its base is 10.
So re-writing the equation, it becomes:
log_10((2x+1)/(3x-2))=1
And its exponential form is:
(2x+1)/(3x-2)=10^1
(2x+1)/(3x-2)=10
Now that the equation has no more logarithm, the next step is to remove the x in the denominator.
To do so, multiply both sides by 3x-2.
(3x-2)*(2x+1)/(3x-2)=10*(3x-2)
2x+1=30x-20
Next, combine like terms.
To combine 30x and 2x, bring them together on one side of the equation. So, move 2x to the right side by subtracting both sides by 2x.
2x-2x+1=30x-2x-20
1=28x-20
To combine 20 and 1, bring them together on the side opposite the term with x. So, add both sides by 20.
1+20=28x-20+20
21=28x
And, divide both sides by 28 to have x only at the right side.
21/28=(28x)/28
3/4=x
Hence, the solution to the given equation is x=3/4 .
About 0.6 of all the students in the fifth grade are girls. If the fifth grade has 85 students, how many of the students are girls?
Answer:
51 girls
Step-by-step explanation:
85 represents the total amount of students in 5th grade, including boys and girls.
0.6 or 60% of the 85 students in 5th grade are girls.
0.6 x 85 = 51
Therefore, there are 51 girls out of the 85 students in 5th grade.
What is the 5th term in the sequence 64, 16, 4 ?
Answer: 1
Step-by-step explanation:
Answer:
1/4 because
1st term 64 : 64/4 = 16
2nd term 16 : 16/4 = 4
3rd term 4 : 4/4 = 1
4th term 1 : 1/4 = 1/4
5th term 1/4
5x + 13 + (2y-7)i = -2 + i please please help
plese help with both of these
Answer:
Step-by-step explanation:
Explicit formula of a G.P. is given by,
[tex]a_n=a(r)^{n-1}[/tex]
Here, [tex]a_n[/tex] = nth term
a = First term
n = number of term
r = common ratio
Given sequence is 3, 6, 12, .......
a = 3
r = [tex]\frac{6}{3}[/tex] = 2
Therefore, explicit formula will be,
[tex]a_n=3(2)^{n-1}[/tex]
Option (3) is the answer.
Parent function → f(x) = 3ˣ
Transformed function → g(x) = [tex]3^{x+5}[/tex]
Since, g(x) = f(x + 5)
Therefore, function 'f' has been shifted 5 units left.
Option (1) is the answer.
Think of a matrix A and B which are both 3X3 matrices. Do not use all zeros or all
1’s!
3. Multiply A X B and record the result.
4. Multiply B X A and record the result
Answer:
9
Step-by-step explanation:
3x3 =9 hope this helps bbs
Solve the system and determine whether it is consistent or inconsistent and dependent or independent.
y = -5x – 2
5x + y = 0
john uses a small card and a large card that are similar in size in his magic show. what is the area if the small card?
Answer:42.7in^2
that what answer i am sure of
3. Larry randomly surveyed students in his school as to what the new school mascot should be. The results are shown in the table below.
(a) Which survey might be biased? Explain your answer.
(b) Which mascot seems to be the winner? Why do you think that?
(c) Using only information from the unbiased survey, approximately what percent of students choose Wildcats for the new mascot?
(d) If there was 800 students in Larry’s school, approximately how many students in the school could he claim would vote for Mustangs? Round to the nearest whole number if necessary.
Nancy lives in a state where sales tax is 9%. This means you can find the total cost of an item, including tax, by using the expression c + 0.09c, where c is the pre-tax price of the item.
Use the expression to find the total cost of an item that has a pre-tax price of $84.00.
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Answer:
$91.56
Step-by-step explanation:
We can simplify Nancy's cost expression to ...
c +0.09c = c(1 +0.09) = 1.09c
The the total cost of the item of interest is ...
(1.09)($84) = $91.56
Find A if 30% of A equals 30% of 30 plus 30