Answer:
14 sides
Step-by-step explanation:
The sum of all interior angles of a polygon = (n - 2)180°
2160° = (n - 2)180°
[tex]n - 2 = \frac{2160 \degree}{180 \degree} \\ \\ n - 2 = 12 \\ \\ n = 12 + 2 \\ \\ n = 14[/tex]
Hence, the polygon has 14 sides.
A square has side length 3 units. What is the length of the diagonal?
A. 3 units
B. 3/√2 units
C. 3√2 units
D. 6 units
Answer:
C
Step-by-step explanation:
The diagonal can be represented as the hypotenuse of a right triangle with 3 and 3 as its legs. Use the pythagorean theorem to get that 3^2+3^2=c^2. Simplify to 9+9=c^2 or 18=c^2. Square root both sides to get c=√18. Simplify to get c=√9*2 or c=3√2 for the diagonal.
The length of the diagonal of the square is (b) [tex]3\sqrt 2[/tex] units
The length of the diagonal of a square is calculated using the following Pythagoras theorem
[tex]d^2 = l^2 + l^2[/tex]
Where:
d represents the length of the diagonall represents the side length of the squareSo, we have:
[tex]d^2 = 3^2 + 3^2[/tex]
Evaluate the like terms
[tex]d^2 = 2(3^2)[/tex]
Take the square roots of both sides
[tex]d =3\sqrt2[/tex]
Hence, the length of the diagonal of the square is (b) [tex]3\sqrt 2[/tex] units
Read more about diagonals at:
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1. A rectangle has an area of 12 m2 and a width
of 400 cm. What is the length of the rectangle?
A. 3 cm
B. 30 cm
C. 300 cm
D. 3000 cm
Answer:
L = 3 cm
Step-by-step explanation:
let lenght be L
First convert area in cm
1 m = 100 cm
12 m = 1200 cm
Area of rectangle = width x lenght
1200 cm = 400 cm x L
1200 /400 = L
3 cm = L
Question
The area of a triangular painting is 50 square inches. The base is 20 inches. What is the height?
Answer:
2.5 inches
Step-by-step explanation:
Area= 50 square inches
Base= 20 inches
Height=?
Area= base×height
50= 20× x
50= 20x
x= 50/20
= 2.5
Hence the height is 2.5 inches
Answer:5 inches
Step-by-step explanation:
The mean age of all 618 used cars for sale in a newspaper one Saturday last month was 7.7 years, with a standard deviation of 7.3 years. The distribution of ages is right-skewed. For a study to determine the reliability of classified ads, a reporter randomly selects 30 of these used cars and plans to visit each owner to inspect the cars. He finds that the mean age of the 30 cars he samples is 8.3 years and the standard deviation of those 30 cars is 5.7 years.
Required:
From the problem statement, which of the values 7.7, 7.3, 8.3, and 5.7 are parameters and which are statistics?
Answer:
7.7 and 7.3 are the parameters
8.3 and 5.7 are statistics
Step-by-step explanation:
In the given question,
7.7 and 7.3 represents the mean and standard deviation for all of the used cars for sale.
So,
It represents the population mean and standard deviation
So,
7.7 and 7.3 are the parameters .
Now,
8.3 and 5.7 is mean and standard deviation for sample , not for population.
∴ 8.3 and 5.7 are statistics.
Plz help me well mark brainliest if correct!!
A cone has a height of 10.3 inches and a radius of
3 inches.
What is the volume in terms of it?
20. 6n in
30.91 in
64. 6841 in
0 97.0261 in
Which number line shows all the values of that make the inequality-6y - 2 > 10 true?
Answer:
y<−2
Step-by-step explanation:
−6y−2>10
Add 2 to both sides.
−6y>10+2
Add 10 and 2 to get 12.
−6y>12
Divide both sides by −6. Since −6 is negative, the inequality direction is changed.
y<12/-6
Divide 12 by −6 to get −2.
y<−2
The coordinates of point A are (6, 2). The coordinates of point B are (2, 6). AB¯¯¯¯¯is transformed to form A′B′¯¯¯¯¯¯¯, shown in the graph. What is the transformation of AB¯¯¯¯¯ that results in A′B′¯¯¯¯¯¯¯? Drag and drop the answers into the boxes to complete the sentence. AB¯¯¯¯¯ is Response area Response area to form A′B′¯¯¯¯¯¯¯ . A graph with a line between points A begin ordered pair -6, 2 end ordered pair and B begin ordered pair -2, 6 end ordered pair
Answer:
AB¯¯¯¯¯ is reflected across the y- axis to form A′B′¯¯¯¯¯¯¯ .
Laurie is working on a carpentry project. She has n feet of wood. While working, she realized that she needs 1/4
more wood than she currently has. Which expressions represent the total amount of wood she needs for her project? Select all that apply.)
A.n+1/4
B.5/4n
C.1/4n
D.5/4+n
E.n+1/4n
Answer:
E because if she needs 1/4 more than what she already has then you have to multiply 1/4 of the wood she already has and add the wood that she already has
Find the missing side lengths. Leave your answers as radicals in simplest form.
9514 1404 393
Answer:
x = 18y = 9Step-by-step explanation:
The ratios of side lengths in a 30°-60°-90° triangle are ...
1 : √3 : 2
In the same order, the given side lengths are ...
y : 9√3 : x
Comparing these two sets of ratios, we see that we can make the first equal to the second by multiplying by 9:
9(1) : 9√3 : 9(2) = y : 9√3 : x
Then y = 9·1 = 9, and x = 9·2 = 18.
The missing side lengths are x = 18, y = 9.
Allison paid $297.50 for a new laptop. Last week, the price of the laptop
was $350.
15%
350x0.15=52.5
350-52.5=297.5
Supposed that the weight (in pounds) of an airplane is a linear function of the amount of fuel (in gallons) in the tank. When carrying 14 gallons of fuel the airplane weighs 2177 pounds when carrying 42 gallons of fuel it weighs 2331 pounds. How much does the airplane weigh if it is carrying 48 gallons of fuel?
Answer:2885
Step-by-step explanation:
Find the critical value necessary to form a confidence interval at the level of confidence shown below.
c=0.87
Answer:
the critical value for 0.87 level of confidence is 1.51
Step-by-step explanation:
Given the data in the question;
level of confidence = 0.87
now,
1 - c = 0.87
c = 1 - 0.87
c = 0.13
c/2 = 0.13/2 = 0.065
now
1 - c/2 = 1 - 0.065 = 0.935
so our level of significance ∝ = 0.935
Now, the critical value will be;
[tex]Z_{0.935[/tex] is obtained as follows;
P( Z < z ) = 0.935
so we find the value from ( standard normal distribution table )
P( Z < 1.51 ) = 0.935
Therefore, the critical value for 0.87 level of confidence is 1.51
Find the unknown number of 10w = 25
Answer:
w=5/2 or W=2 1/2 if decemial 2.5
Step-by-step explanation:
how can i solve this problem if its congruent or not
9514 1404 393
Answer:
∆BCR ≅ ∆BAR
x = 6
Step-by-step explanation:
For congruence, define point R where the altitude line meets segment AC.
The diagram shows you AR ≅ RC. You know BR ≅ BR by the reflexive property, and you know that ∠BRC ≅ ∠BRA = 90°. You can therefore claim ...
∆BCR ≅ ∆BAR . . . . by the SAS congruence postulate
__
To solve for x, you don't need to show congruence of the right triangles. You only need to realize that the markings on segment AC show the left half is the same length (x) as the right half. The Pythagorean theorem is used to find x.
x² +8² = 10²
x² = 100 -64 = 36
x = √36 = 6
The length of x is 6 units.
_____
As you can see here, an altitude that is a median divides the isosceles triangle into two congruent right triangles. (That altitude also bisects angle B.)
You may recognize that the side ratios in the right triangle are 8:10 = 4:5. The missing side completes the Pythagorean triple 3:4:5, so is 2·3 = 6 = x.
Can someone help me with this please
Can someone help me please ?
Answer:
It's 48 degrease
Step-by-step explanation:
Both of the other angles are the same which means that the other two are gonna be the same.
Write the equation in standard form. Y - 10= 2(x-8)
Answer:
2x-y=6
Step-by-step explanation:
y-10=2(x-8)
y-10=2x-16
-10+16=2x-y
6=2x-y or
standard form 2x-y=6
201
Which equation, when paired with y = 2x+5,
creates an inconsistent system?
O 2x + y = 5
o y = 2x + 5
O 2x - 4y = 10
O 2y - 4x = -10
10
X
-20
20
DONE
-101
-20
The pair of equations creates an inconsistent system will be y = 2x + 5 and 2y - 4x = -10. Then the correct option is D.
What is a linear equation?The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
If the slopes are equal but have different intercepts then the lines are parallel, then the system has no solution or is inconsistent.
The equation is given as,
y = 2x + 5
Check option D, then we have
2y - 4x = -10
y - 2x = - 5
y = 2x - 5
The slope of the lines is the same but with different intercepts.
Thus, the correct option is D.
More about the linear equation link is given below.
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Triangle ABC and triangle DEF are similar. What is the measure of side DF?
Solve for x 1/5x − 2= 4
Answer:
here ya go :)
Step-by-step explanation:
Pls help I’ll addd extra points
Answer: 3/5
Step-by-step explanation:6/10 6 divide by 2 and 10 divide by 2
hoped this helped:)
Answer:
[tex] \frac{3}{5} [/tex]
Step-by-step explanation:
[tex] \frac{6}{10} \div \frac{2}{2} [/tex]=
[tex] \frac{3}{5} [/tex] ....
reduce 12/20 to lowest term
Answer:
3/5
Step-by-step explanation:
12/20
(divide both by 2)
12/2= 6
20/2=10
6/10
(divide by both by 2)
6/2= 3
10/2= 5
3/5
How many curtains can be made from 20 meters of cloth if each curtain requires 2 and 1/2 meters ?
Answer :- 20/2.5 = 8
......
The total number of curtains that can be made is 8 if each curtain requires 2 and 1/2 meters
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
20 meters of cloth if each curtain requires 2 and 1/2 meters.
The total length of the cloth = 20 meters
Each curtain requires 2 and 1/2 meters
= 2 + 0.5
= 2.5 meters
Total number of curtains = 20/2.5
Total number of curtains = 8
Thus, the total number of curtains that can be made is 8 if each curtain requires 2 and 1/2 meters
Learn more about the fraction here:
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Select the statement that describes this expression: 5 x (3 + 4) − 4. (2 points)
a
5 times the sum of 3 and 4, then subtract 4
b
5 times 3 plus 4 minus 4
c
5 more than the sum of 3 and 4, and then subtract 4
d
5 times 3 plus the difference of 3 and 4
Graph the function
y = 2x^2+4x
Answer:
Hey!
Step-by-step explanation:
Hope this helps you!
Best of luck! <3
A reading specialist wanted to estimate the mean word length, in number of letters, for an elementary school history textbook. The specialist took repeated random samples of size 100 words and
estimated the mean and standard deviation of the sampling distribution to be 4.9 letters and 0.15 letter, respectively.
Based on the estimates for the sampling distribution, which of the following provides the best estimates of the population parameters?
Answer:
Mean 4.9 letters and standard deviation 1.5 letters
Step-by-step explanation:
The curve with equation y = x - 3x + 1 is reflected in the x-axis.
Select the equation of the reflected curve.
Answer:
Step-by-step explanation:
C
This scale shows weight in pounds. How much do the apples weigh?
A. 3/4 lb.
B. 3 lb.
C. 3 1/4 lb.
D. 4 lb.
Answer:
where is the scale
Step-by-step explanation:
where is the scale
Answer:
What does the scale look like?
George has $12, which is $7 more than Tom has. How much money does Tom have?