The square root of 4 is 2 (2 x 2 = 4). This implies 4 is perfect square of 2.
Hence square root of 4 is not an irrational number.
What is an irrational number?
An irrational number is one that cannot be represented by whole numbers and/or fractions (also called ratios) is an irrational number because those decimals just go on and on and there is no pattern to be represented by a fraction. Many square roots are also irrational numbers.
According to the given question:
The square root of 4 is 2 (2 x 2 = 4). This implies 4 is perfect square of 2. Squaring of 2 gives 4 and square root of 4 gives 2. 2 is a rational number i.e. it can be represented in p/q form.
Hence square root of 4 is not an irrational number.
Learn more about Square root at:
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Triangle ABC is similar to DEF. Which proportion can be used to find the length of DE in centimeters?
Answer:
[tex]\frac{DE}{4} = \frac{9}{3}[/tex]
[tex]DE = 12[/tex]
Step-by-step explanation:
Given
See attachment for triangles ABC and DEF
Required
The proportion to find DE
To solve for DE, we can make use of the following equivalent ratios;
[tex]AB:DE = BC:EF[/tex]
Substitute values for AB, BC and EF
[tex]4:DE = 3:9[/tex]
Express as fractions
[tex]\frac{DE}{4} = \frac{9}{3}[/tex]
The above is the proportion to solve for DE
Solving further:
[tex]\frac{DE}{4} = 3[/tex]
[tex]DE = 4 * 3[/tex]
[tex]DE = 12[/tex]
Approximately what portion of the box is shaded blue?
Answer:
option a.
1/5 in my opinion.
What should be done first to evaluate the expression?
6 + 8 ÷ 4 + (4 × 5)²
Answer:
First, follow the first step in PEMDAS so you would do the parenthesis first followed by exponents, multiplication, division, addition, then subtraction
Step-by-step explanation:
6 + 8 ÷ 4 (4*5)^2
6 + 8 ÷ 4 + 20^2
6 + 8 ÷ 4 + 400
6 + 2 + 400
= 408
attach a link if needed<3
Juice: Different
Burritos: Same
Soup: Same
Peanut Butter: Different
Find the distance between the points (1,–5) and (9,9).
Answer:
[tex]\sqrt{260\\[/tex] or 16.12
Step-by-step explanation:
distance formula is [tex]} d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}[/tex]
Distance (d) = √(9 - 1)2 + (9 - -5)2
= √(8)2 + (14)2
= √260
= 2√65
= 16.124515496597
PLS HELP ME WILL MARK BRAINLIEST
Answer:
LA = 120 sq cm
SA = 132 sq. cm.
Step-by-step explanation:
LA = ph where p = perimeter of the base and h = the height of prism.
Your base is a triangle. The third side = [tex]\sqrt{5^{2} - 3^{2} }[/tex] = [tex]\sqrt{25 - 9} = \sqrt{16} = 4[/tex]
Now, the perimeter of the triangle is 3 + 4 + 5 = 12
So, LA = 12(10) = 120 sq cm
The area of the base is the area of a triangle. A = bh/2 = 4(3)/2 = 6
SA = 2B + LA where B is the area of the base
SA = 2(6) + 120 = 12 + 120 = 132 sq. cm.
10.
Find the measure of angle x. Hint. The sum of the measures of the angles in a triangle is 180 degrees.
A. 6°
B. 90°
C. 180°
D. 86°
Answer:
D
Step-by-step explanation:
Básicamente sumas esos 2 y se lo restas a 180.
Answer:
D. 86
Step-by-step explanation:
since the angles of a triangle add up to equal 180, all you have to do is add the angles you know and then find the one you don't by subtracting it from 180.
this is how it looks mathematically:
180=26+68+x
180=94+x
180-94=x
x=86
Evaluate the expression below
(1/7)³
Answer:
1/49
Step-by-step explanation:
[tex] \purple{ \tt{ \huge{ \: ✨Answer ✨ \: }}}[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \red{ \boxed{ \boxed{ \tt{ \huge{{ \: {7}^{ - 3}}}}}}} [/tex]
Zoey takes out a loan of $25,000 to pay for a car. Her interest rate is 3% for 60 months. How much will Zoey pay in total for the car?
Answer: $28750
Step-by-step explanation:
Since 12 months = 1 year, it should be noted that 60 months = 60/12 = 5 years.
Simple interest = Principal × Rate × Time
= $25000 × 3% × 5
= $25000 × 0.03 × 5
= $3750
The total amount that Joey will pay for the car will be the value of the principal plus the interest which will be:
= $25000 + $3750
= $28750
Now, suppose assuming the true fraction of voters is .65, the estimated standard deviation of X is given as 6.65. Suppose you find that 115 people actually voted yes in the random sample of 200. Conduct hypothesis testing using p value approach at 5% significance level to determine the validity of Candidate A’s claim that he was at least supported by 65% of the voters. (Make sure you show the steps of hypothesis testing)
Answer:
reject H0 ; conclude that there is significant evidence to conclude that candidate A is supported by less than 65% voters
Step-by-step explanation:
x = 115
n = 200
Phat = x / n = 115 / 200 = 0.575
H0 : P0 ≥ 0.65
H1 : P0 < 0.65
TEST STATISTIC :
Phat - P0 ÷ sqrt[(P0(1-P0))/n]
0.575 - 0.65 ÷ sqrt[(0.65(0.35))/200]
-0.075 ÷ 0.0337268
Test statistic -2.237
Pvalue :
P(Z < - 2.237) = 0.012643
α = 0.05
Pvalue < α
0.012643 < 0.05 ; We reject H0
We can conclude that there is significant evidence to conclude that candidate A is supported by less than 65% voters
Help me out here. Math eh not my thing. :P
Answer:
Question 13 is the third one. Number 15 is the second one.
a blue number cube and a green number cube are rolled.Both number cubes have the number 1 through 6 on them. What is the probability of rolling a number greater than 3 on the blue cube and a number less than 4 on the green cube? ANSWER CORRECTLY FOR 200 points!
Answer:
We are assuming the numbers 1 - 6 on the cubes?
If so,
Blue (3, 4, 5, or 6) is 4/6 or 2/3 chance
Green(1,3,5) is 3/6 or 1/2 chance
To get both the P is 2/3 times 1/2
Step-by-step explanation:
Which of the following examples has a unit rate of 25 feet per second? Select all that apply. A) 100 feet in 4 seconds B) 150 feet in 10 seconds C) 225 feet in 9 seconds D) 275 feet in 11 seconds E) 100 feet in 5 seconds
Answer:
A) C) D)
Step-by-step explanation:
We can simply divide them to find out the answer.
A) 100/4=25
B)150/10=15
C)225/9=25
D)275/11=25
E)100/5=20
Bob bought a broken motor scooter for, repaired it installed the scooter for $150. That was $50 less than 1.5 times what he paid for. Write an equation that matches the situation
In 1987, a survey of 1000 young people found that 540 said they smoked cigarettes, whilst
460 said they did not. In 2017, a similar survey of another 1000 young people found that
125 said they smoked cigarettes, whilst 875 said they did not.
Calculate the ratio of smokers to non-smokers in 2017. Give your answer in simplest form:
Show your workings.
[2 marks]
Answer:
1:7
Step-by-step explanation:
125:875
Then simply
The GCF between the two is 125:
125/125 = 1
875/125 = 7
So, the answer is 1:7!
.............................................................................................
Answer:.............................................................................................
Step-by-step explanation:
.............................................................................................
A veterinarian office conducted a survey of the weight of dogs that came in for physicals. 55, 37, 8, 50, 60, 50, 48 Find the mean:
Answer:
44
Step-by-step explanation: mean is the average so add 55, 37, 8, 50, 60, 50, 48 and you get 308 then divide 308 by how many numbers you added which is 7, so 308 divided by 7 is 44 which is the answer
Jada makes sparkling juice by mixing 1 cup of sparkling water with every 3 cups of apple juice. How much apple juice does Jada need if she uses 5 cups of sparkling water? 7 cups of sparkling water?
Answer:
for 5 cups of sparkling water she would use 15 cups of apple juice and for 7 cups of sparkling water she would use 21 cups of apple juice
Step-by-step explanation:
noso3 x 1 entonces es 5x 3 =15
if a river is 4.2 feet and it dropped 18% percenet what is the depth
I need help with all of them please
Answer:
7) 55 . 8) 30 9) 18
Step-by-step explanation:
A cafeteria manager can choose from among six side dishes for the lunch menu: applesauce, broccoli, corn, dumplings, egg rolls, or French fries. He uses a computer program to randomly select three dishes for Monday’s lunch.
Answer:
0.20
Step-by-step explanation:
Given : The number of side dishes for the lunch menu =6
The number of ways to select 3 dishes from 6 :
Total outcomes :
If applesauce and broccoli is already selected , then we need to select only one dish out of remaining 4 dishes.
Number of ways to select 1 dish from 4 :
Favorable outcomes:
Now, the theoretical probability that applesauce and broccoli will both be offered on Monday :-
Hence, the theoretical probability that applesauce and broccoli will both be offered on Monday = 0.20
Step-by-step explanation:
ANYONE PLS HELP ME IM RUNNING OUT OF TIMEEEEE
HELPPPP PLSSSSSSSS(25 points
what is the factored form of 3x+24y?
Answer:
x+8y
Step-by-step explanation:
common factor it by 3
so the answer is
x+8y
6
Kathryn puts some red, white, blue and pink counters in a bag. She gives the bag to
Clive, who takes a counter out at random, records the colour, and then puts it back
After some time Clive concludes that the probabilities for each colour are
red: 36% white: 34% blue: 3
Kathryn tells him there are fewer than 100 counters in the bag.
Work out how many counters of each of the colours are in the bag.
pink 7/10
Answer:
I don't get what you saying comment down below
Step-by-step explanation:
1What is the area of the square?
20 square feet
5 feet
10 square feet
25 square feet
5 square feet
Need help asap
Answer:
25 square feet
Step-by-step explanation:
You would multiply 5 by 5 to get the area.
5 by 5 is 25.
Hope I helped.
The circle graph shows the result of a survey of 1500 middle school students.
How many students save their money?
Answer:
435
Step-by-step explanation:
29% X 1500 = 435
Find Q, I'm not sure if it is possible however.
9514 1404 393
Answer:
Q ≈ 0.0314148930589 radians ≈ 1.79994078613°
Step-by-step explanation:
There is no algebraic solution for the set of equations with mixed polynomial and trig functions:
x·sin(Q/2) = 5
1/2x^2(Q -sin(Q)) = π/12
__
However, we can use the first equation to substitute for x in the second equation. This gives ...
[tex]\displaystyle \frac{1}{2}\left(\frac{5}{\sin{\frac{Q}{2}}}\right)^2(Q-\sin{Q})=\frac{\pi}{12}[/tex]
This can be simplified using the half-angle identity and recast as a function of Q:
[tex]\displaystyle f(Q)=\frac{25(Q-\sin{Q})}{1-\cos{Q}}-\frac{\pi}{12}[/tex]
This function will have a zero at the desired value of Q. It can be solved iteratively. A graph shows an approximate value of Q is 0.314 (radians). The value can be refined by Newton's method iteration to give the angle to full calculator precision:
Q ≈ 0.0314148930589 radians ≈ 1.79994078613°
__
The corresponding value of x is about 318.333447755. In short, this is a very narrow sector/segment in a relatively large circle.
Ms. Neeson baked 30 cookies. 5 sixths of the cookies were oatmeal. How many oatmeal cookies did Ms. Neeson bake?
Answer: u find 5/6 of 30 cookies. of means to multiply do 5/6*30=
Step-by-step explanation:
100,000,000 times 100,000,000 minus 200,000,000
Answer:
9.9999998e+15
Step-by-step explanation:
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