Answer:
(b) 68
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Diagonal:
Diagonals are a line between opposite points in a square.
In this question, it is between A(0,3) and B(5,0), and between (0,0) and (5,3). Both these diagonals have the same measure, and are the distance between these points. So
[tex]D = \sqrt{(5-0)^2+(3-0)^2} = \sqrt{5^2 + 3^2} = \sqrt{34}[/tex]
Then sum of the squares of its both diagonals is units
Both diagonals measure [tex]\sqrt{34}[/tex]. Sum of squares is:
[tex](\sqrt{34})^2 + (\sqrt{34})^2 = 34 + 34 = 68[/tex]
The correct answer is given by option b.
what is the range of 0 and 8
Answer:
8
Step-by-step explanation:
range=highest number - lowest number
=8 - 0
=8
HELPPP PLSS
DUE TN
WILL GIVE BRAINLIST
Answer:
49/144
Step-by-step explanation:
Answer:
49/144
Step-by-step explanation:
For what values of x and y is PQRS a parallelogram?
Answer:
x = 3
y = 2
Step-by-step explanation:
GIVEN :-
PQ = 2y + 3QR = 4y + 1RS = y + 5PS = 4x - 3TO FIND :-
The values of x & y for which PQRS will be a parallelogramFACTS TO KNOW BEFORE SOLVING :-
In a parallelogram , pair of opposite sides are always equal in length.
SOLUTION :-
PQRS will be a parallelogram only when :-
PQ = RSand PS = QR1) Assume that PQ = RS.
[tex]=> 2y + 3 = y + 5[/tex]
[tex]=> 2y - y = 5 - 3[/tex]
[tex]=> y = 2[/tex]
∴ For y = 2 , PQ = RS.
2) Now, assume that PS = QR.
[tex]=> 4x - 3 = 4y + 1[/tex]
(Put y = 2 in the equation)
[tex]=> 4x - 3 = 4 \times 2 + 1[/tex]
[tex]=> 4x - 3 = 9[/tex]
[tex]=> 4x = 9 + 3 = 12[/tex]
[tex]=> x = \frac{12}{4} = 3[/tex]
∴ For x = 3 , PS = QR.
CONCLUSION :-
For x = 3 & y = 2 , PQRS is a parallelogram.
The temperature of earth may be measured either by thermometers on the ground, which is an accurate but tedious method, or by sensors mounted in a space satellite, which is a less accurate method. Researchers wanted to estimate how big of the differences are between the two methods. Researchers selected 20 sites randomly and measured the temperatures by both methods for each site at the same time periods.
Required:
What statistical inference method is the most accurate to estimate the difference?
Answer:
Analysis of variance (ANOVA) is the most accurate to estimate the difference
Step-by-step explanation:
Analysis of variance (ANOVA) is the best statistical method that can be used to determine the systematic difference between the mean values of two given set of population in any random experiment
In this case the two set of populations would be the one in which temperature is measured by thermometers on ground and sensor mounted in a space satellite.
ANSWER PLEASE i need help i will mark brainliest
Answer:
let the two no. be x and y.
their sum
x+y=-11
x=-11-y.....[I]
and difference
x-y=41
x=41+y......[ii]
equating equation I and ii
we get
-11-y=41+y
-11-41=y+y
-52=2y
y=-52/2
y=-26
now
substituting value of y in equation I.
we get
x=-11-(-26)=-11+26=15
The two no. is 15 and -26.
One pipe can fill a tank in 4 hours. A second pipe also requires 4 hours, but a third
needs three hours. How long will it take to fill the tank if all three pipes are open?
Answer:
Step-by-step explanation:
We will use the idea here that the first 2 pipes can get 1/4 of the job done in an hour, and that the third pipe can get 1/3 of the job done in an hour. We need to know then the number of hours it will take to fill the tank if all 3 work together. The equation looks like this:
[tex]\frac{1}{4}+ \frac{1}{4}+ \frac{1}{3}= \frac{1}{x}[/tex] Now we find a common denominator and solve for x. The common denominator is 12x. Multiplying everything by 12 x gives us
3x + 3x + 4x = 12 and
10x = 12 so
x = 1.2 hours
Answer:
1.2 hours
Step-by-step explanation:
we need to see how much each pipes does in the same amount of time
The least common multiple of 3 hours and 4 hours is 12 hours
In 12 hours:
Pipe 1 at 4 hours to fill a tank fills 3 tanks
Pipe 2 at 4 hours to fill a tank fills 3 tanks
Pipe 3 at 3 hours to fill a tank fills 4 tanks
All three pipes can fill 10 tanks in 12 hours
12 hours/10 tanks = 1.2 hours to fill one tank
-------------------------
Doing just the math
1/4 + 1/4 + 1/3 = x
3/12 + 3/12 + 4/12 = 10tanks/12 hours
12hours/10tanks = 1.2 hours
According to a recent study, the average American household spends $1,700 on clothing per year, with a standard deviation of $530. What percent of households spend less than $1170 per year, based on this data?
Answer:
$3,220
Step-by-step explanation:
Add
Help me please :) thanks
Answer:
20 and 90
Step-by-step explanation:
Does anyone know how to simplify this expression? I know it has to do with properties of summation and special summation rules but I can’t quite figure it out.
============================================================
Explanation:
Let's expand this out up to say n = 6 terms
I'll write the summation in such a way that each (1/(k+1) - 1/k) grouping will get its own row. Each row has the same value of k.
If we plug in k = 1 through k = 6, but not evaluate just yet, we will have this:
1/(1+1) - 1/1
1/(2+1) - 1/2
1/(3+1) - 1/3
1/(4+1) - 1/4
1/(5+1) - 1/5
1/(6+1) - 1/6
All I've done so far is replace k with 1 through 6. Again, each row represents a different k value. Each row has the general format 1/(k+1)-1/k.
Let's simplify everything in the first column.
So the (1+1) turns into 2, the (2+1) turns into 3, and so on.
Doing that leads to...
1/2 - 1/1
1/3 - 1/2
1/4 - 1/3
1/5 - 1/4
1/6 - 1/5
1/7 - 1/6
Then note how we have the cancellations shown in the diagram below. The color coding shows how the terms pair up to cancel out. By "cancel out", I mean specifically that the fractions add up to 0. Eg: 1/2 + (-1/2) = 0.
Nearly everything cancels out. The only things left after the dust settles is the -1/1 in the first row and the 1/7 in the bottom row. This evaluates to 1/7-1/1 = 1/7 - 7/7 = (1-7)/1 = -6/7
If you were to try this with n = 7, then you should find that again nearly everything cancels but the fractions -1/1 and 1/8. Then 1/8 - 1/1 = -7/8.
For n = 8, you should end up with 1/9 - 1/1 = -8/9.
You can probably see the pattern.
A conjecture is that the answer is -n/(n+1). The general proof of this isn't too tricky. Simply follow the same ideas as mentioned above. Expand out a few terms and see how things cancel out. You'll find that everything cancels except for the -1/1 in the first row and the 1/(n+1) just one term before the very end. Then we can say:
1/(n+1) - 1/1
1/(n+1) - (n+1)/(n+1)
(1-(n+1))/(n+1)
(1-n-1)/(n+1)
-n/(n+1)
If we tried n = 6, then we find,
-n/(n+1) = -6/(6+1) = -6/7
which was the result we found earlier when we added the first n = 6 terms of this series. Trying out n = 7 should lead to -n/(n+1) = -7/8, and so on.
Question 10 (2 points)
A square table 4 feet on each side has two drop leaves, each a semicircle 4 feet in diameter.
Find the area of the table with and without the drop leaves.
1) With Drop Leaves (Semicircles are attached to table) =
ft. 2
2) Without Drop Leaves (Semicircles are not attached to table)
ft 2
4 ft
|4ft
Answer:
Area of table with leaf = 28.56 feet²
Area of table without leaf = 16 feet²
Step-by-step explanation:
Given:
Side of square table = 4 feet
Diameter of side leaf = 4 feet
Number of semicircle leaf = 2
Find:
Area of table without leaf
Area of table with leaf
Computation:
Area of square = Side x Side
Area of table without leaf = 4 x 4
Area of table without leaf = 16 feet²
Radius of side leaf = Diameter of side leaf / 2
Radius of side leaf = 4 / 2
Radius of side leaf = 2 feet
Area of table with leaf = Area of table without leaf + 2[πr²/2]
Area of table with leaf = 16+ 2[πr²/2]
Area of table with leaf = 16+ (3.14)(2)²
Area of table with leaf = 16+ (3.14)(4)
Area of table with leaf = 16+ 12.56
Area of table with leaf = 28.56 feet²
Evaluate - 15.85 + y for the following values of y.
value of y value of expression
-32.1 -47.95
-63.06
-84.703
-8.115
Answer:
-78.91 -100.553 -23.965
Step-by-step explanation:
-15.85 - 63.06 = -78.91
-15.85 -84.703 = -100.553
-15.85 -8.115 = -23.965
Alice deposited 600 dollars in a new savings account, no other deposits were made, after 3 months interest was computed at an annual interest rate of 3 1/2 percent. how much interest did her money earn?
Answer:
: Gumuhit ng tatlong bagay na sa alam mo ay naging epekto ng digmaan. Iguhit ito Sa loob
ng mga bilog.
Step-by-step explanation:
Let's Write!
Directions: Write at least a five-sentence paragraph about the issue conveyed in the
picture using a pattern of idea development with its appropriate grammatical signals. A
rubric is given below for your guidance. Write your paragraph on a separate sheet of
paper.Directions: Write the word "TRUE” if the statement is true and write "FALSE” if the statement
is false. Write your answer on your answer sheet.
1. Always follow the routine “clean up while in use and clean up before keeping it”.
2. Manufacturer's instructions for operation and maintenance should be followed.
3. Employers have some control over potential hazards.
4. Before the vacuum cleaner becomes overloaded, throw dust bags after each use.
5. For the equipment with wheels, clean and check wheel-driven gears.
6. For proper storage/safekeeping of hand tools and equipment, surfaces of cutting tools
should be displayed for easy used and reach.
7. Only qualified people should carry out the maintenance and they should also keep
records of their inspections.
8. Check-up equipment irregularly to prevent serious breakdown.
9. Place guards on machinery to protect fingers and limbs.
10. Store electrical equipment outdoors.Directions: Write the word "TRUE” if the statement is true and write "FALSE” if the statement
is false. Write your answer on your answer sheet.
1. Always follow the routine “clean up while in use and clean up before keeping it”.
2. Manufacturer's instructions for operation and maintenance should be followed.
3. Employers have some control over potential hazards.
4. Before the vacuum cleaner becomes overloaded, throw dust bags after each use.
5. For the equipment with wheels, clean and check wheel-driven gears.
6. For proper storage/safekeeping of hand tools and equipment, surfaces of cutting tools
should be displayed for easy used and reach.
7. Only qualified people should carry out the maintenance and they should also keep
records of their inspections.
8. Check-up equipment irregularly to prevent serious breakdown.
9. Place guards on machinery to protect fingers and limbs.
10. Store electrical equipment outdoors.WORK #1
Direction: List 1 Digestive System disease. Identify its causes, symptoms, and treatment. Use the template
below.
Digestive Disease
Causes
Symptoms
TreatmentWRITTEN WORK #1
Direction: List 1 Digestive System disease. Identify its causes, symptoms, and treatment. Use the template
below.
Digestive Disease
Causes
Symptoms
Treatment
What is the approximate lateral surface area of the cylinder?
9 cm
2 cm
Answer:
138 is closest to the Lateral surface which is 113.097
Step-by-step explanation:
Answer the questions below.
(a) A pizza parlor has a choice of 11 toppings for its pizzas. From these 11 toppings, how many
different 8-topping pizzas are possible?
(b) 50 athletes are running a race. A gold medal is to be given to the winner, a silver medal is to be
given to the second-place finisher, and a bronze medal is to be given to the third-place finisher.
Assume that there are no ties. In how many possible ways can the 3 medals be distributed?
✺◟(∗❛ัᴗ❛ั∗)◞✺ ( T_T)＼(^-^ ) ( T_T)＼(^-^ ) ᕙ( • ‿ • )ᕗ (┛◉Д◉)┛彡┻━┻ ᕙ( • ‿ • )ᕗ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (┛◉Д◉)┛彡┻━┻ (ノT＿T)ノ ＾┻━┻ (ノT＿T)ノ ＾┻━┻ (┛◉Д◉)┛彡┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻ ᕙ(＠°▽°＠)ᕗ (ノT＿T)ノ ＾┻━┻ (╯°口°)╯︵ ┻━┻
HELP HELP HELP
Identify the maximum, minimum, y-intercept,
x-intercept, and increasing and decreasing interval on
the graph below.
Answer:
Step-by-step explanation:
Maximum is at (1.5,14).
Minimum is at (4, 0).
y-intercept is at (0, 9)
x intercept is at ( 4, 0).
increasing from x = 0 to x = 1.5 and x = 0 to 6.
decreasing from x = 1.5 to x = 0
NEEEEEEEEED HELPPP step by step
Answer:
Step-by-step explanation:
HELP QUICK ROUND EACH VALUE TO THE NEAREST TENTH
Solve the following problems. Choose the letter of the correct answer. (Show your complete solutions.)
5.) If the length of the two sides of an isosceles triangle are 3 cm and 7 cm, then what must be the length of the third side?
A. 3cm B. 10 cm C. 14 cm D. 7 cm
:1
i didnt understand the question because of my English sorry
:2
we all know that the total of degrees is 180 so 70+70=140
180-140=40
so the answer is 40
3:
we have a figure with 4 angle so the total of degrees is 360 so the answer is 126
4:
the answer most be 50 becuse we have a Special degree witch always equal 90 if we have recatngle so
x+40=90
X=50 the answer and if you want to try again choose the second one
2x-10=90
2x=100
X=50 same answe you see
5:
in this quastion i searched and find alot of answers any way
its should be 7 or 3 but the correct answer in my opinion its 7
its shows in the picture i sent hopefully its helpful to you i will try to translate the first quastion and sent it to you
let f(x)=-2x-1 and g(x)=x^2+4 find (f o g) (1)
[tex]fog(x)=f(g(x)) \\ \\ \\ =2.(4-x^2)-1 \\ \\ \\ = -2x^2+7 \\ \\ \\ [/tex]
what is the area of the cylinder rounded to the nearest whole number
Answer:
the area is 207
Step-by-step explanation:
The equation to solve the area of a cylinder is A=2πrh+2πr^2
The radius is the length from the outside to the center, 6 is the diameter so we could half that to get the radius, 3 and height is 8
A=2*3.14*3*8+2*3.14*3^2
A=6.28*3*8+6.28*9
A=18.84*8+56.52
A=150.72+56.52
A=207.24
207.24 rounded to the nearest whole number is 207 so your area is 207
According to this diagram, what is tan 62°?
Answer:
12
Step-by-step explanation:
i think that is the answer
PLEASE HELP THIS IS DUE & I DON'T UNDERSTAND AND FEEL LIKE GARBAGE: On the coordinate plane shown, each grid unit represents 10 feet. Polygon QRST has vertices Q(10, 20), R(−10, 20), S(−10, −10), and T(10, −10), and represents the floor plan of a room. Find the perimeter and area of the room.
The perimeter of the room is
feet. The area of the room is
square feet.
Answer:
perimeter is the length of all sides added together, since this a square and one side is 20 length, all sides must be 20 length. 20 + 20 + 20 + 20 = 80
The area is the length times width. 20 * 20 is 400.
Step-by-step explanation:
) Which expressions are equivalent to 35? Choose ALL that apply.
9.27
81.3
3.5
3.3.3.3.3
9.9
Answer:
[tex](a)\ 9 * 27[/tex]
[tex](b)\ 81 * 3[/tex]
[tex](d)\ 3*3*3*3*3[/tex]
Step-by-step explanation:
Given
[tex]3^5[/tex]
Required
Select equivalent expressions
[tex](a)\ 9 * 27[/tex]
Express as exponents
[tex]9 * 27 = 3^2 * 3^3[/tex]
Apply law of indices
[tex]9 * 27 = 3^{2+3[/tex]
[tex]9 * 27 = 3^{5[/tex]
[tex](b)\ 81 * 3[/tex]
Express as exponents
[tex]81 * 3 = 3^4 * 3[/tex]
Apply law of indices
[tex]81 * 3 = 3^{4+1[/tex]
[tex]81 * 3 = 3^5[/tex]
[tex](c)\ 3*5[/tex]
Solve
[tex]3*5 = 15[/tex]
[tex](d)\ 3*3*3*3*3[/tex]
From calculator, we have
[tex]3*3*3*3*3=243[/tex]
Express as exponents
[tex]3*3*3*3*3=3^5[/tex]
[tex](e) 9 * 9[/tex]
Express as exponents
[tex]9 * 9= 3^2 * 3^2[/tex]
Apply law of indices
[tex]9 * 9= 3^{2+2[/tex]
[tex]9 * 9= 3^4[/tex]
Hence, a, b and d are true
In ΔWXY, the measure of ∠Y=90°, YX = 40, XW = 41, and WY = 9. What ratio represents the cosine of ∠W?
Answer:
[tex]\cos{W} = \frac{9}{41}[/tex]
Step-by-step explanation:
Cosine of an angle:
The cosine of an angle, in a right triangle, is the length of the side adjacent to this angle divided by the hypotenuse.
Length of the largest side:
The length of the largest side is 41, that is, the hypotenuse is 41. The hypotenuse is XW.
WY = 9.
This means that the length of the adjacent side to angle W is 9.
What ratio represents the cosine of ∠W?
Adjacent side has length 9, hypotenuse has length 41. So
[tex]\cos{W} = \frac{9}{41}[/tex]
Please help me. 20 POINTS
Answer:
could you please also post what the choosing options are and then ill edit this and do it again
Step-by-step explanation:
Find the equation of the linear function represented by the table below in slope-
intercept form.
9514 1404 393
Answer:
y = -4x -2
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (-10 -10)/(2 -(-3)) = -20/5 = -4
__
The y-intercept is given by ...
b = y1 -m(x1)
b = 10 -(-4)(-3) = 10 -12 = -2
Then the slope-intercept equation is ...
y = mx +b
y = -4x -2
(5-^2)-^4 PLEASE TELL ME EHSY THIS IS
390625
^if that’s what you meant in the picture cause your question was confusing
Can someone help??
What is the equation of the blue line?
Answer:
y = 4x - 3
Step-by-step explanation:
Find two point of the line
(0,-3) ; (1,1)
Use this formula
(y - y1)/(y2-y1) = (x-x1)/(x2-x1)
(y-(-3)/(1-(-3) = (x-0)/(1-0)
(y+3)/4 = x
y+3 = 4x
y = 4x -3
Answer:
y = 4x -3
Step-by-step explanation:
The y intercept is (0,-3)
Using another point on the line (1,1), we can find the slope
m = (y2-y1)/(x2-x1)
m = (1 - -3)/(1-0)
= (1+3)/(1-0)
= 4/1
The equation for a line in slope intercept for is
y = mx+b where m is the slope and b is the y intercept
y = 4x -3
help pls what is he surface area measured in square centimeters, of the shape
below do not include units in your answer
Answer:
Solution given:
l=8cm
b=8cm
h=3cm
now
total surface area=2(lb+bh+lh)
=2(8*8+8*3+8*3)=224cm²
224 cm² is a required volume.
PLEAAE HELP Tiffany practices her guitar for hour each day. How many hours does she practice in 7 days? Make an equation to solve the problem.
Answer:
7n
Step-by-step explanation:
Let :
The number of hours of practice per day = n
The number of practice hours in 7 days can be calculated thus :
Number of hours of practice per day * number of days
(n * 7) = 7n