Answer:
4√2
Step-by-step explanation:
If a square has a perimeter of 16, then its side lengths are 4.
Use the pythagorean theorem to find the diagonal.
4^2+4^2=c^216+16=c^232=c^2c=√32√32 can be simplified to 4√2.
The length of the diagonal of the square whose perimeter is 16 is 4√2
What is diagonal of the square?
The length of a diagonal is equal to the length of a side multiplied by the square root of 2
Given data ,
Let d be the diagonal of a square
Perimeter of square = 16
Perimeter of square = 4 x A
16 = 4 x A
A = 4
Therefore , diagonal of square is = 4√2
Hence ,The length of the diagonal of the square whose perimeter is 16 is 4√2
To learn more about diagonal of square click :
https://brainly.com/question/9753627
#SPJ2
Which value is included in the solution set for the inequality graphed on the number line?
0
1
2
3
4
3
Answer:
2
Step-by-step explanation:
find a distance between the two points
i dont seem to understamd
Step-by-step explanation:
To find the distance you need the distance formula. The distance formula is [tex]\sqrt{(x_{2}-x_{1} )^{2} + (y_{2}-y_{1})^2 }[/tex]. Order the pairs with a 1 or a 2. Look at he point that you labeled 2. Substitute any of the points with a 2 subscript into the equation. The x value is the first number in the ordered pair and the y value is the second number in the ordered pair. Repeat this with the ordered pair you labeled as 1. Substitute the numbers in. You should get something like this: [tex]\sqrt{(-7-5)^{2} + (-7-9)^{2} }[/tex]. If you are doing this without a calculator, it is easier than you think. Remember PEMDAS? Well apply that with this. Find out the solution to the parenthesis first. The first parenthesis should come out with[tex](-12)^{2}[/tex]. Finish the expression off by evaluating the expontent. That comes out to 144. Try this with the next parenthesis... The answer should be 256. Your square root should look like this: [tex]\sqrt{144+256}[/tex]. Add the numbers under the parenthesis together and you should get [tex]\sqrt{400}[/tex]. I'm sure you have a calculator in you hand ready to solve this. NOW YOU FIND THE ANSWER!!!
5. Find the missing reference angle using arcsin, arccos, or arc tangent. (Round to
the nearest whole number)
14
48
50
Your answer
Answer:
16°
Step-by-step explanation:
Reference angle = [tex] \theta [/tex]
Side Opposite to reference angle = 14
Adjacent side = 48
Hypotenuse = 50
Let's apply arcsin:
Thus:
[tex] \theta = sin^{-1}(\frac{Opp}{Hyp}) [/tex] (recall: SOHCAHTOA)
Plug in the values
[tex] \theta = sin^{-1}(\frac{14}{50}) [/tex]
[tex] \theta [/tex] = 16.2602047° = 16°
Which classifications apply to the polygon? Check all that apply.
convex
concave
regular
hexagon
octagon
Answer:
B and D
Step-by-step explanation:
It costs $15,700 to build a particular car. This car sells for $24,322. What is the percent markup on the car to the nearest percent.
Answer: $15,700 - $24,322= 8622
Step-by-step explanation:
All you have to do is subtract
Find the coordinate of the points of intersection of the graphs without building them: 20x - 15y = 100 and 3x - 5 =6y
Answer:
(-4.666667, -3.16667)
Step-by-step explanation:
(-4 2/3, -3 1/6)
9514 1404 393
Answer:
(x, y) = (7, 2 2/3)
Step-by-step explanation:
We can multiply the first equation by 2/5 to get ...
8x -6y = 40
The second equation gives an expression for 6y that we can substitute.
8x -(3x -5) = 40
5x +5 = 40 . . . . . eliminate parentheses
x +1 = 8 . . . . . . . .divide by 5
x = 7 . . . . . . . . . .subtract 1
Using the second equation, we find ...
3(7) -5 = 6y
y = 16/6 = 2 2/3
The coordinates of the point of intersection are (x, y) = (7, 2 2/3).
URGENT Find the area of the shaded region.
Answer: 3.32276 units squared
Step-by-step explanation:
area of total sector=(pi*r^2)/360
=2^2 * 120pi /360
=4*120/360 * pi
=4.1887902
area of the triangle=(1/2)*base*height
the height is 1 (because you can divide the triangle down the middle to make a 30 60 90 triangle, and the sin(30)=x/2, so 2sin(30)=x, x=(1/2)*2
the base is equal to [tex]\sqrt{3}[/tex] because the base of the 30 60 90 triangle is 2sin(60), and sin60 is [tex]\sqrt{3}[/tex]/2, so you have to double that to get the area of the 120 degree triangle.
the area of the triangle is (1/2)*1*[tex]\sqrt{3}[/tex]=[tex]\sqrt{3} /2[/tex]=0.866025
so the difference is 4.1887902-0.866025
=3.32276 units squared
PLEASE HELP!!!
This graph shows the relationship between demand and price for goods sold at a shop. Anna plots the data on a scatter plot and draws a line of best fit to represent the relationship as shown.
This is not the line of best fit because the line ____________.
A.) Is close to the data points
B.) does not fit every data point exactly.
C.) Is not through the middle of the data points.
Anna could get a better fit by _____
A.) Decreasing
B.) Increasing
C.) Keeping
the y-intercept and ______ the slope.
A.) Decreasing
B.) Increasing
C.) Keeping
Answer:
1st question: C
2nd question: Increasing (the slope)
3rd question: don't understand what's being asked
Step-by-step explanation:
Answer:
the answers are
Step-bythe answers are -step explanation:
1.C
2.a
3.B
which are the correct answer? need help
Answer:
1D 2B 3A
Step-by-step explanation:
PLEASE HELP WILL MARK BRAINLIEST
HELP PLS PLS I NEED TO TURN THIS IN RN
Answer:
A
Step-by-step explanation:
$55,000 at 16% compounded
semiannually for 2 years
hope Answer:
74.826.89
Step-by-step explanation:
hopefully helps
Answer: equation for compound interest A=P(1+r/n)^nt
Answer: $74,826.89
Step-by-step explanation: Fill in the numbers for the formula!
Find the 100th term for the sequence. -9,-4, 1, 6, 11, .......
Answer:
486
Step-by-step explanation:
for the 2nd term, add 5 to -9
for the 3rd, add 5 × 2 to -9
for the 4th, add 5 × 3 to -9
:
for the 100th, add 5 × (100 - 1) to -9
=> 5 × 99 + (-9)
=> 486
PLSS HELP ME I AM GOING TO CRY IF I DONT GET THIS ANSWER PLSS HELP ME What is the slope-intercept equation of the line below?
Answer:
y = -3x + 4
Step-by-step explanation:
Hey!
==================================================================
Slope-Intercept Form: y - mx + b, where m is the slope and b is the y-intercept (point where x =0).
Since we know that the slope is -3, we substitute that in for m.
⇒y = -3x + b
Now, we know the y-intercept is 4, so we substitute that in for b:
⇒y = -3x + 4
==================================================================
Hope I Helped, Feel free to ask any questions to clarify :)
Have a great day!
More Love, More Peace, Less Hate.
-Aadi x
Factor the expression step by step Someone help me pls
Answer:
1. Split up the linear term: [tex]2x^{2}[/tex]+2x-3x-3
2. Group terms that have common factors: ([tex]2x^{2}[/tex]+2x)+(-3x-3)
3. Factor out the greatest common factor: 2x (x+1) -3 (x+1)
4. Factor out the greatest common factor: (x+1)(2x-3)
Answer: (x+1)(2x-3)
Step-by-step explanation:
☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆
☆Brainliest is greatly appreciated!☆
Hope this helps!!
- Brooklynn Deka
What is the commission rate for a car salesman who earned $1500 in commission on a 25,000 car?
Answer:
6%.
Step-by-step explanation:
170% of what number is 40?
Provide and exact fraction answer
Answer: 23.53
Step-by-step explanation:
We have, 170% × x = 40
or,
170
100
× x = 40
Multiplying both sides by 100 and dividing both sides by 170,
we have x = 40 ×
100
170
x = 23.53
If you are using a calculator, simply enter 40×100÷170, which will give you the answer.
You are interested in finding a 90% confidence interval for the average number of names that people can correctly recall after being introduced to 40 people at a party. Based on past research, you know that the standard deviation for this number is 6.34 names. Suppose you surveyed 55 randomly selected people and found that they correctly remembered an average of 18.16 names. The standard deviation for this group was 4.28 names. Round your answers to two decimal places.
A. The sampling distribution follows a __________ distribution.
B. With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between ______ and _______
C. If many groups of 55 randomly selected people were surveyed, then a different confidence interval would be produced for each group. About _____ percent of these confidence intervals will contain the true population mean number of names remembered and about ______ percent will not contain the true population mean number of names remembered.
Answer:
A. The sampling distribution follows a normal distribution
B. With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28
C. If many groups of 55 randomly selected people were surveyed, then a different confidence interval would be produced for each group. About 90 percent of these confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered
Step-by-step explanation:
The given parameters are;
The known population standard deviation of the number of names that people can recall after being introduced to 40 people in a party, σ = 6.34 names
The number of people randomly selected in the survey, n = 55 people
The average number of names correctly remembered, [tex]\overline x_1[/tex] = 18.16
The standard deviation of the group surveyed, s = 4.28
A. Based on the Central Limit Theorem CLT, the sampling distribution follows a normal distribution
B. The 90% confidence interval is given as follows;
[tex]C.I.=\bar{x}\pm z_{\alpha /2}\cdot \dfrac{\sigma}{\sqrt{n}}[/tex]
Where [tex]z_{\alpha /2}[/tex] at 90% = 1.65, we have;
[tex]C.I.=18.16\pm 1.65 \times \dfrac{4.28}{\sqrt{55}}[/tex]
C.I. ≈ 17.20 < μ < 19.11
With 90% confidence the mean number of names that all people can remember when introduced to 40 people at a party is between 17.04 and 19.28
C. The 90% confidence interval gives the certainty that if different groups of 55 randomly selected people were surveyed, then about 90 percent of the confidence intervals will contain the true population mean number of names remembered and about 10 percent will not contain the true population mean number of names remembered.
BIG BIG POINTS!!!!!! PLEASE HELP ASAP I'M BEING TIMED!!!!!!!!!!!!!!!!!!!!!! Will mark BRAINLIEST!!!!!!!!!!!! HELP ME PLEASEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
A) Use the distance formula to find the length of each side, and then add the lengths.
B) Use the slope formula to find the slope of each side, and then determine if the opposite sides are parallel.
C) Use the slope formula to find the slope of each side, and then determine if the consecutive sides are perpendicular.
D) Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
A) Use the distance formula to find the length of each side, and then add the lengths.
Simplify the polynomial by combining like terms. 3.63x2 - 4.54x + 7.96x2 +9.85 -3.12x
Answer:
11.59x² -7.66x + 9.85
Step-by-step explanation:
3.63x² - 4.54x + 7.96x² +9.85 -3.12x
11.59x² -7.66x + 9.85
i'm pretty sure its 11.59x2−7.66x+9.85
The quotient of a number and -6 decreased by 2, is 10. FInd the number
Answer:
[tex]x = 48[/tex]
Step-by-step explanation:
Quotient means what you get when you divide a number by another number.
What we can do is make an equation using the information given, which turns out to be this:
[tex](\frac{x}{6}) - 2 = 10[/tex]
Add 2.
[tex]\frac{x}{6} = 8[/tex]
Multiply by 6.
[tex]x = 48[/tex]
Please answer!(20pts) Each month your parents deposit $75 into your college fund. The account pays an annual rate of 3.5% compounded monthly. to the nearest whole dollar, how much will be in your college fund after 12 years?
Hello! Please help me. Huhu
how many unique triangles can be drawn with side lengths of 3 units, 4 units, and 5 units
Answer:
1 perfect right angle
Step-by-step explanation:
please mark this answer as brainlest
Help please I’m being timed!!
Answer:d
Step-by-step explanation:
Find the domain and range of the relation: { ( 4 , − 4 ) , ( 3 , − 4 ) , ( 2 , − 4 ) , ( 1 , − 4 ) } . Then determine whether the relation is a function.
Answer:
Domain: [tex]Dom\{f\} = \{1,2,3,4\}[/tex], Range: [tex]Ran\{f\} = \{-4\}[/tex]
The relation is a function.
Step-by-step explanation:
Let be [tex]f[/tex] a relation. The domain of the relation is the set of first components of ordered pairs of the relation, whereas the range of the relation is the set of second components of ordered pairs of the relation. Hence, the domain and range of the relation are, respectively:
[tex]Dom\{f\} = \{1,2,3,4\}[/tex]
[tex]Ran\{f\} = \{-4\}[/tex]
A relation is a function if and only if every element of the domain has only one element of the range. This is the case for this relation, since there is just an element for range.
BESTIES KINDA FAILING AT SCHOOL RN NEED YOUR HELP ASAP
Answer:
well this one is kind of obvious and you don't have to do any actual math with it. I'm 99% sure that when you have the two sets of coordinates you can find the slope. so the answer would be A. :)
Step-by-step explanation:
what is the least common denominator between 3/4 4/5 and 2/3
Answer:
The Least Common Denominator of 3/4, 4/5 and 2/3
Would be,
4 × 5 × 3 = 60
Hence,
60 is the L.C.D of 3/4, 4/5 and 2/3
Which process will create a figure that is congruent to the figure shown?
Answer:
A translation of 4 units up, followed by a reflection over the y-axis, followed by a rotation of 90° counterclockwise around the point shown on the figure.
Step-by-step explanation:
Hope it helps!
Answer:
Top right answer
Step-by-step explanation:
htam (:
You and your friend are standing back-to-back. Your friend runs 14 feet forward and then 7 feet right. At the same time, you run 10 feet forward and then 11 feet right. You stop and throw a baseball to your friend, who catches it. How far did you throw the baseball?
Answer:
30.52 feet.
Step-by-step explanation: