id
11. A chessboard has diagonals of length
40 cm. What is the length of each side of the
board, to the nearest tenth of a centimetre?
Explain your reasoning.
Answer:
√800 = 28 cm
Step-by-step explanation:
Your c value is 40cm beacause c=length of the hypotenuse, or in this case the diagonal of the chess board.
You now have 2a2=402.
Start solving it:
2a2=402
2a2=1600
(2a2)/2=1600/2
a2=800
√(a2)=√800
a=√800 cm
You can plug this back in to check your answer, and also be sure that a=b is true.
a2+b2=c2
(√800)2+(√800)2=c2
800+800=c2
1600=c2
√1600=√c²
40=c
What is an externality
Answer:
Externalities refer to situations when the effect of production or consumption of goods and services imposes costs or benefits on others that are not reflected in the prices charged for the goods and services being provided.
the picture below is an example of what it looks like
WHAT EXTERNALITY IS : externality is a economic cost or sometimes a benefit that is the´´by product´´ of the economic activity. the activity that is allacated outside of the system. the resources are likely to be misallocated when there is a externality.
the fact of existing outside the perceiving subject.
Find the surface area of the prism. Write your answer as a fraction or mixed number
2/3ft
2/3ft
2/3ft
what is 1 1/2 multiply 12
Answer:
66
Step-by-step explanation:
hello :
1 1/2 multiply 12 means : (11×12/2)= (11×6×2)/2 =66
The flower shop makes bouquets with ten flowers in each bouquet.
The florist said she can't make any bouquets because she has 207 flowers and there is a 0 in the tens place of 207!
Do you agree or disagree with the florist? Explain why in a full sentence below.
Which expression is equivalent to
Answer:
The second expression
Step-by-step explanation:
[tex]\sum_{n=3}^{20}{n(n+1)}=\sum_{n=3}^{20}{(n^2+n)}=\sum_{n=3}^{20}n^2+\sum_{n=3}^{20}n[/tex]
You can split up sums.
(WORTH 100 POINTS I WILL GIVE BRAINLY)
Answer:
To create a line plot with a cluster around 6-8, you basically just group a lot of dots around the area (such as putting 4 dots over the dashes labelled 6-8). And for a gap between 4-5, just put one dot over 0-3.
Answer:
To create a line plot with a cluster around 6-8, you basically just group a lot of dots around the area (such as putting 4 dots over the dashes labelled 6-8). And for a gap between 4-5, just put one dot over 0-3.
Step-by-step explanation:
What’s the circumference of circles
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the circumference of given circle ~
Circumference :
[tex]\qquad \tt\dashrightarrow \:c =2 \pi r[/tex]
where,
r = radius = 3 ydnow, let's calculate circumference ~
[tex]\qquad \tt \dashrightarrow \:c = 2 \times \pi \times 3[/tex]
[tex]\qquad \tt \dashrightarrow \:c = 6 \pi \: \: yd[/tex]
Now, let's plug in approximate value of pi :
[tex]\qquad \tt \dashrightarrow \:c = 6 \times 3.14 \: \: [/tex]
[tex]\qquad \tt \dashrightarrow \:c = 18.84 \: \: yd[/tex]
Find SU, TU, and ST.
Answer:
SU=6
TU=6
ST=12
Step-by-step explanation:
SU and TU are equal because their hypotenuses are equal (10).
With this knowledge, you know that 2x+2=3x.
Subtracting 2x from both sides shows that x=2, so you can substitute that into the original line segment values in order to get 6 for both SU and TU. Double this to find the value of ST (12).
A tent is in the form of a right circular cylinder surmounted by a cone. The volume of the tent can be modeled by the function V(r) = 8πr2 + πr3, where r is the radius in feet. For what value of r does the tent have a volume of 311 ft3?
Answer:
Check this explaination below
Step-by-step explanation:
Check the attached picture
In the translation T of the graph below, use the figure to describe the Following transformation.
Answer:
(a) (x -6, y -2)
Step-by-step explanation:
You seem to want to see the inverse of the translation T, applied twice. Your notation seems to mean ...
For T = (x, y) +(a, b)
T⁻¹ = (x, y) -(a, b) ⇒ T⁻² = (x, y) -2(a, b)
__
Your given transformation is ...
T = (x, y) +(3, 1)
which means ...
T⁻² = (x, y) -2(a, b) = (x, y) -2(3, 1)
T ⁻² = (x -6, y -2)
Solve for x in the diagram below.
Answer:
x=20Step-by-step explanation:
hope it will help you
Answer:
Step-by-step explanation:
x+ 2x + x +10 = 90
Combine like terms
4x + 10 = 90
To isolate 'x', first subtract 10 from both sides
4x = 90 - 10
4x = 80
Now, divide both sides by 4 to get the value of 'x'
x = 80/4
x = 20
Angeline puts $2000 into savings account which receives 2.6% interest per year. How much interest will she have on her savings at the end of year??
Thank you so much!
Answer:
A nightlight uses 4.00 W of power when plugged into an outlet. Assume that the only resistance in the circuit is provided by the light bulb's filament. The current in the circuit is 3.40 X 10^-2 A. What is the voltage across the filament?
Step-by-step explanation:
[tex]\pink{ \rule{0pt}{99999pt}}[/tex]
The circumference of circles
Answer:
circumference = 31.43 cm
Step-by-step explanation:
circumference = 2πr = 2 × 22/7 × 5 = 220/7
= 31.43 cm
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's find the circumference of given circle ~
Circumference :[tex]\qquad \tt\dashrightarrow \:c =2 \pi r[/tex]
where,
r = radius = 5 cmnow, let's calculate circumference ~
[tex]\qquad \tt \dashrightarrow \:c = 2 \times \pi \times 5[/tex]
[tex]\qquad \tt \dashrightarrow \:c = 10 \pi \: \: cm[/tex]
Now, let's plug in approximate value of pi :
[tex]\qquad \tt \dashrightarrow \:c = 10\times 3.14 \: \: [/tex]
[tex]\qquad \tt \dashrightarrow \:c = 31.4\: \: cm[/tex]
The triangles on the grid below represent a translation.
4
3
0
2
1
b
8
54-32-14
1 2
3
b
8
To form the image, the pre-image moved
five units right and three units up.
two units right and three units up.
Mark this and return
Save and Exit
Next
Answer:
Five units right and three units up.
If you notice there's a ' on the green triangle (a',b',c')
That means that the blue triangle was translated to get to the green triangle
Bethany is making a rectangular fenced-in area for her rabbit in her yard. The area measures 4 3/4 feet wide by 2 yards long. What is the total length of fencing, in feet, that Bethany will need?
Find f(x) and g(x) such that h(x) = (fog)(x). Let g(x) = 7x + 2.
h(x) =6/square root of (7x+2)
Answer:
f(x) = 6√7
Step-by-step explanation:
f{g(x)}=h(x)
f(7x+2)=6√7x+2
let y = 7x+2
x= (y-2)/7
f(x)= 6 √7(y-2)/7+2
Thus, f(x) =6√7
What is the value of the expression below when x=4 and y=3?
The question is 5x to the 3rd power plus 4y to the 3rd power
[tex]x = 4\\y = 3[/tex]
Question is [tex]5x^3 + 4y^3[/tex]
We know what [tex]x[/tex] and [tex]y[/tex] are.
[tex]5x^3 + 4y^3 = 5 \times 4^3 + 4 \times 3^3\\= 5 \times 64 + 4 \times 27\\= 320 + 108\\= 428[/tex]
In the scale drawing below
Answer:
47.5m
Step-by-step explanation:
convert cm to metres 1.9cm×5=9.5m
Then times the side lengths with the amount of sides 9.5m×5=47.5m
Write 2^3 multiply √ 2 as a single power of 2.
[tex]2^3 \cdot \sqrt 2\\\\=2^3 \cdot 2^{\tfrac 12}\\\\=2^{3+ \tfrac 12}\\\\=2^{\tfrac 72}[/tex]
Answer:
2^3 x 2^1/2 = 2^7/2
Step-by-step explanation:
Law of indices state that:
a^n × a^y = a^n+y
root 2 is the same thing as 2^1/2
so we can write this equation as;
2^3 × 2^1/2 = 2^3+1/2 = 2^7/2
High school students across the nation compete in a financial capability challenge each year by taking a National Financial Capability Challenge Exam. Students who score in the top 14 percent are recognized publicly for their achievement by the Department of the Treasury. Assuming a normal distribution, how many standard deviations above the mean does a student have to score to be publicly recognized?
Using the normal distribution, it is found that a student has to score 1.08 standard deviations above the mean to be publicly recognized.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex]standard deviation [tex]\sigma[/tex]z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.The top 14% of the scores are given by scores above the 86th percentile, which corresponds to Z = 1.08, hence, a student has to score 1.08 standard deviations above the mean to be publicly recognized.
More can be learned about the normal distribution at https://brainly.com/question/24663213
In a study of the performance of a new engine design, the weight of 22 aircrafts (in tons) and the top speed (in mph) were recorded. A regression line was generated and shown to be an appropriate description of the relationship. The results of the regression analysis are below.
Part A: What is the LSRL based on the analysis provided? Make sure to identify what the variables represent in the context of the problem. (4 points)
Part B: What is the predicted value for the top speed of an aircraft if its weight is 100 tons? Show your work. (6 points)
The LSRL is the Least Squares Regression Line of the new engine design performance
The LSRL is: y = 11.6559 + 3.47812x The predicted top speed when the weight is 100 tons is 359.4679How to determine the LSRL?This is the equation of the Least Squares Regression Line.
From the calculation summary, we have the following parameters:
Coefficient of constant = 11.6559Coefficient of Weight = 3.47812So, the LSRL is:
y = 11.6559 + 3.47812x
Where y represents the predicted volume and x represents the weight.
The predicted value when the weight is 100 tonsIn (a), we have:
y = 11.6559 + 3.47812x
Substitute 100 for x
y = 11.6559 + 3.47812 * 100
Evaluate
y = 359.4679
Hence, the predicted top speed when the weight is 100 tons is 359.4679
Read more about Least Squares Regression Line at:
https://brainly.com/question/24848242
The population of a city increases by 0.7% per year. If this year's population is
390,000, what will next year's population be, to the nearest individual?
Answer:
392,730
Step-by-step explanation:
This increase will be over one year which will just be a 0.7% increase
to 390,000
0.7% of 390,000 is 2730
(0.007 * 390,000 = 2730)
390,000 + 2730 = 392,730
Or more simply we can add the increase in percentage to 1 for our multiplier
390,000 * 1.007 = 392,730
What is the surface area of the cylinder with height 8 ft and radius 3 ft? Round your
answer to the nearest thousandth.
A: 186.885
B: 195.004
C: 205.132
D: 207.345
We know that,
The surface of a cylinder is given by,
2πr(r + h)h= heightr= radiusso,
the surface area of the given cylinder would be,
⇢2π*3(3+8)⇢6π*11⇢66π⇢207.345Find the seperate equation from 2x² - 5xy + 2y²
Please can someone answer this...
I'll mark as BRAINLIEST...
Answer:
There is two simple equations one where you take out x as a comman factor and y as a common factor
Step-by-step explanation:
x(2x - 5y+ 2y squared)
Y(2x squared - 5x + 2y)
Sorry I don't know how to do the sqaure thingy but that's how you find two separate equations
I NEED HELPPOO will mark you BRAINLIEST The diameter of a circle is 14, and its center is located at (3,-4).
What is the equation of the circle?
Choose from the drop-down menus to complete the equation
(* Choose.. Choose v)2 + (y Choose Choose.
x
.
= Choose .
6
7
8
Step-by-step explanation:
The graph shows two lines, A and
How many solutions are there for the pair of equations for lines A and B? Explain your answer. (5 points)
Answer:
there muse be at least 2 solution because we need it to draw lines at exact direction
Answer:
1 solution
Step-by-step explanation:
A solution to a system of lines in a graph is their intersection point. On the graph shown, there is only 1 point at which the lines intersect, therefore, 1 solution.
Need help DONT understand can someone answer
To choose the three players fairly, Coach Bennet decides to set up a free throw contest. The three players who make the most consecutive free throws will get to go to the summer basketball clinic.
Part A
Question
How many different orders of top-three finishers are possible?
Drag the tiles to the correct locations on the equation. Not all tiles will be used.
Using the arrangements formula, it is found that 6 different orders of top-three finishers are possible.
What is the arrangements formula?The number of possible arrangements of n elements is given by the factorial of n, that is:
[tex]A_n = n![/tex]
In this problem, the possible orders are arrangements of 3 elements, hence, the number of orders is given by:
[tex]A_3 = 3! = 6[/tex]
More can be learned about the arrangements formula at https://brainly.com/question/25925367
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PLEASE HELP WILL MARK BRAINLIEST!!
