Answer:
The shelf is not a right triangle
Step-by-step explanation:
Given
[tex]Sides = 14, 8, 8[/tex]
Required
Determine if it is a right triangle
To do this, we make use of Pythagoras theorem which implies that; the square of the longest side = the sum of the square of the two other sides.
So, we have:
[tex]14^2 = 8^2 + 8^2[/tex]
Evaluate all squares
[tex]196 = 64 + 64[/tex]
[tex]196 = 128[/tex]
The above is not true because:
[tex]196 \ne 128[/tex]
Hence, the shelf is not a right triangle
Write the equation of the following circle in general form and standard form. Show your work.
Answer:
Step-by-step explanation:
Standard equation of a circle is given by,
(x - h)² + (y - k)² = r²
Here, (h, k) is the center of the circle.
From the graph given in the picture,
Center of the circle → (-1, 1)
Radius of the circle = 3 units
Therefore, standard equation of the circle will be,
(x + 1)² + (y - 1)² = 3²
(x + 1)² + (y - 1)² = 9
General equation of the circle is the expanded form of the standard equation.
x² + 2x + 1 + y² + 1 - 2y = 9
x² + y² + 2x - 2y + 2 = 9
x² + y² + 2x - 2y - 7 = 0
Therefore, general equation of the given circle is,
x² + y² + 2x - 2y - 7 = 0
The area of the triangle below is 9/32 square centimeters. What is the length of the base? Express your answer as a fraction in simplest form.
Answer:
b=3/4
Step-by-step explanation:
((3/4)x)/2=9/32
The length of the base will be 3/4. The length of the base from formula of area of triangle.
How to find the area of triangle?The area of the triangle is half of the length and base of the triangle.Area of triangle is found as;
[tex]\rm A= \frac{1}{2} \times L \times B\\\\ A=\frac{9}{32} \\\\ \frac{9}{32} =\frac{1}{2} \times \frac{3}{4} \times B \\\\ B=\frac{3}{4}[/tex]
Hence,the length of the base will be 3/4.
To learn more about area of triangle refer;
https://brainly.com/question/19305981
#SPJ2
What is the main problem with this conclusion paragraph
Thesis statement: Stores that resell used video games should offer at least 30 percent of the sale price to sellers.
Main points:
More people will sell used games.
More people will buy new games.
The store will make money.
Conclusion: It just makes sense that happy sellers will sell back more used games They'll also be willing to buy more new games, knowing they can sell them back for a good price. This will all lead to more profit for the store. It is a problem that has a simple solution that will benefit everyone involved.
A. It does not restate the thesis.
B. It does not have a satisfying close.
C. It adds new information.
D. It is missing one of the main points.
Answer:
It does not restate the thesis.
what is equivalent to 1/2+1/6
Answer:
4/6 or 2/3.
Step-by-step explanation:
You need to multiply 1/2 by 3/3 so you can can the denominater having a 6.
Chip has enough concrete to pave a square area of 200ft^2 for a backyard patio. Use the formula s=√A to find the length of each side of his patio. Round your answer to the nearest tenth of a foot.
Answer:
14.1 ft
Step-by-step explanation:
A = 200 ft^2
s = √A
s = √(200ft^2)
s = 14.1 ft
Please mark brainliest if this helped!
Please mark brainliest if this helped!
The length of each side of his patio is S = 14.1ft.
Given that,
Chip has enough concrete to pave a square area of 200ft^2 for a backyard patio,
Use the formula S=√A.
We have to determine,
The length of each side of his patio.
According to the question,
Chip has enough concrete to pave a square area of 200ft^2 for a backyard patio,
To obtain the length of each side of patio using the given formula.
Formula; [tex]S= \sqrt{A}[/tex]
Where, [tex]A = 200ft^2[/tex]
Substitute the value of A in the given formula,
[tex]S = \sqrt{A}\\\\S = \sqrt{100 (ft)^2}\\\\S = 14.1ft[/tex]
Hence, The length of each side of his patio is S = 14.1ft.
To know more about Surface Area click the link given below.
https://brainly.com/question/11777802
Select the correct answer.
29 points!! Kathy distributes jelly beans among her friends. Alia gets 42 fewer jelly beans than Kelly, who gets 33 jelly beans. How many jelly beans does Alia get?
A. 4^2 - 3^3
B. 3^3 + 4^2
C. 4 - 3^3
D. 3^3 - 4^2
E. 3^2 - 4^3
Answer:
Alia has 11 jelly beans.
Step-by-step explanation:
4^2= 163^3= 2727-16=11
Solving a decimal word problem using a linear equation of the form Ax + B = C
Alan rented a truck for one day. There was a base fee of $18.99, and there was an additional charge of 80 cents for each mile driven. Alan had to pay $239.79 when he returned the truck. For how many miles did he drive the truck?
Answer:
the number of miles did he drive the truck is 276 miles
Step-by-step explanation:
The computation of the number of miles did he drive the truck is as follows
Let us assume the mileage be m
Now according to the question
0.8m + 18.99 = 239.79
0.8m = 239.79 - 18.99
0.8m = 220.8
m = 276
Hence, the number of miles did he drive the truck is 276 miles
The above represent the linear equation
A small pond contains 8 catfish and two bluegill. If eight fish are caught at random what is the probability that all of them are catfish
The question is attached in the photo PLEASE HELP ASAP!!!!!!
THIS IS DUE TODAY!!!!!!!!!!!!
*** I will make you brainiest if the answer is correct ***
Answer:
$420
Step-by-step explanation:
In the figure, the living room is 5 cm by 3.5 cm.
We use the scale to convert to the real measurements.
1 cm = 4 ft
5 cm * 4 ft/cm = 20 ft
3.5 cm * 4 ft/cm = 14 ft
The actual dimensions of the room are 20 ft by 14 ft.
actual area = 20 ft * 14 ft = 280 ft²
carpet cost = $1.50/ft²
cost of carpet = 280 ft² * $1.50/ft²
cost of carpet = $420
Answer: $420
I need a answer ASAP
solve for x ill give brainlest!!!
Answer:
[tex]x=-9[/tex]
Step-by-step explanation:
[tex]36^{x-3}=1296^{x+3}\\(6^2)^{x-3}=(6^4)^{x+3}\\2(x-3)=4(x+3)\\x-3=2x+6\\x+6=-3\\x=-9[/tex]
This is due before 11:59
Please help
Answer:
r = 1Explanation:
7 - 1 = 6
2/3 = 4/6
so
5 - r = 4
r = 5 - 4
r = 1
(1, 1) (7, 5)
a teacher salary went from 48000 to 51360 what is the rate of increase
Answer:
Step-by-step explanation:
Do 51360-48000= (A)
Then do
Difference (A) / 48000
All times by 100
Point Q was rotated about the origin (0,0) by -165
Answer:D
Did it on khan academy
What is the quotient of -3/8 and -1/3
Answer:
(-3/8)/(-1/3)
=(-3/8) x (-3)
=9/8
=11/8
Step-by-step explanation:
1.) Which expression is equivalent to 2.3 X 2.3 X 2.3? *
O A.) 2.3X5
B.) 2.39
O C.) 22 X30
O D.) 2.31
Answer:
O A).
Step-by-step explanation:
Why is 6P4 = 360 but 6C4 = 15?
Short answer (I write nPr = P(n, r) and nCr = C(n, r) ):
P (6, 4) = 6! / (6 - 4)! = 6! / 2! = 720 / 2 = 360
C (6, 4) = P (6, 4) / 4! = 6! / (4! (6 - 4)!) = 360 / 24 = 15
Long answer:
P(n, r) counts the number of permutations of n objects taken r at a time, given by
P(n, r) = n ! / (n - r )!
A permutation is a unique arrangement of objects such that the order in which they are arranged is taken into account. For example, if the objects in question are the numbers in the set {1, 2, 3}, then
• there are 3! = 6 total possible permutations if we take all 3 numbers at once:
123, 132, 213, 231, 312, 321
• there are 3!/(3-2)! = 3!/1! = 6 total permutations if we only take 2 numbers at once:
12, 13, 21, 23, 31, 32
• there are 3!/(3-1)! = 3!/2! = 3 total permutations if we take only 1 number at a time:
1, 2, 3
• and there is 3!/(3-0)! = 3!/3! = 1 way of permuting the 3 numbers without taking any of them:
(the permutation itself is just empty space)
By contrast, C(n, r) counts the combinations of n items taken r at a time, given by
C(n, r) = P(n, r) / r !
A combination is like a permutation, but the order of the objects doesn't matter. Continuing with the previous example of arrangements of the numbers from {1, 2, 3}, we have
• 3! / (3! (3-3)!) = 1 combination taking all 3 numbers at once:
123
(the other 5 permutations listed earlier are made up of the same numbers, so we consider them duplicates)
• 3! / (2! (3-2)!) = 3 combinations taking only 2 numbers at once:
12, 13, 23
• 3! / (1! (3-1)!) = 3 combinations taking only 1 number:
1, 2, 3
• 3! / (0! (3-0)!) = 1 combination taking none of them:
(again, empty space)
The main point is that the order of objects is considered across permutations, while it's ignored across combinations.
find the measure of angle A
Answer:
-7
Step-by-step explanation:
The sum of all angles in a triangle will be equal to 180. So we add x+46+x+71+77=180* 2x+194=180 2x= -14 x=-7What is the quotient of 10 divided by 3/5?
Mr.haynes pays 136.78 for cable and internet each month .How much does mr.hayes pays for cable and internet over a period of a year.
What integer should be added to -9 to get a sum of 0?
Answer:
(-9) + 9 = 0
The integer that should be added is nine
Step-by-step explanation:
when you have a negative integer and you added it by itself but it's a positive instead of a negative the positive takes over the negatives and makes it zero. I hope that made sense
A box contains 7 blue socks, 13 yellow socks and 5 green socks. What is the probability of choosing a green sock at random? Question 5 options: 5/20 1/7 5/21 1/5
Answer:
1/5
Step-by-step explanation:
5 out of 25 reduces to 1 out of 5
An aircraft flies at an average speed of 600 miles per hour. The expression 600t gives the distance traveled by the aircraft in t hours. Find the distance traveled by the aircraft in 6 hours. The distance traveled by the aircraft in 5 hours is:
Answer:
So, we know that the speed of the aircraft is 600 miles /per hour/. The question is, how many miles does it travel over 6 hours?
Since “per hour” means it travels that far in 1 hour, we need to take that speed (600mph) and multiply it by 6, since we were asked about the distance in 6 hours.
So:
600*6=3600
And we get a total of 3600 miles traveled in 6 hours, as opposed to 600 miles in 1 hour.
Need help with these 2 math problems please !
Answer:
A,b I’m pretty sure
Step-by-step explanation:
We measure the diameters for a random sample of 25 oak trees in a neighbourhood. Diameters of oak trees in the neighbourhood follow a normal distribution with standard deviation 8.25 cm. A confidence interval for the true mean diameter of all oak trees in the neighbourhood is calculated to be (36.191, 42.969). What is the confidence level of this interval
Answer:
The required confidence inteval = 94.9%.
Step-by-step explanation:
Confidence interval: Mean ± Margin of error
Given: A confidence interval for the true mean diameter of all oak trees in the neighbourhood is calculated to be (36.191, 42.969).
i.e. Mean + Margin of error = 42.969 (i)
Mean - Margin of error = 36.191 (ii)
Adding (i) and (ii), we get
[tex]2Mean =79.16\\\\\Rightarrow\ Mean= 39.58[/tex]
Margin of error = 42.969-39.58 [from (i)]
= 3.389
Margin of error = [tex]t^* \dfrac{\sigma}{\sqrt{n}}[/tex]
here n= 25 [tex], \ \sigma=8.25[/tex]
i.e.
[tex]3.389=t^*\dfrac{8.25}{5}\\\\\Rightarrow\ t^* = \dfrac{3.389}{1.65}\\\\\Rightarrow\ t^* =2.0539 \[/tex]
Using excel function 1-TDIST.2T(2.054,24)
The required confidence inteval = 94.9%.
Dilate the figure by the scale factor. Then enter the new coordinates. K=2
A([]),([])
B([]),([])
C([]),([])
(-3,2),(1,1)(-1,-1)
Answer:
A = (-6, 4)
B = (2,2)
C = (-2, 2)
Step-by-step explanation:
If a coordinate (x, y) is dilated by a factor of k, the resulting coordinate will be expressed as (kx, ky). Note that each coordinate is multiplied by the scale factor
Given the coordinates (-3,2),(1,1)(-1,-1), if they are dilated by a factor of 2, the resulting coordinate will be;
A = (2(-3), 2(2)) = (-6, 4)
B = (2(1),2(1)) =(2,2)
C = (2(-1), 2(-1)) = (-2, 2)
-a + 28 = 14 solve for a
Answer:
a = 14
Step-by-step explanation:
28[-14]=14;
-14
Answer:
A= -14
Step-by-step explanation:
a + 28 = 14
28-14=14
make 14 an negative then add
-14 + 28 = 14
*pls give brainlist*
helpp mee plss i’ll give brainliest
Answer:
1\9
Step-by-step explanation:
probability of picking 6 once is 1/3
then picking 6 again would be 1/9
Ten coins weigh 25 grams. How many grams does 1 coin weigh?
Answer:
2.5 Grams
Step-by-step explanation:
You divide 25 by 10 giving you 2.5 Grams.
Pls help extra points
Answer:
the mean is 7
Step-by-step explanation:
used a mean calculator
