Answer:
220.35
Step-by-step explanation:
Think of this rectangle of as two horizontal rectangles. The area of the bottom one is expressed by 17.4*12
The area of the top rectangle can be expressed by 3.3*3.5, as 17.4-14.1=3.3 and 15.5-12=3.5.
Add the products for the whole area.
Identify the matrix transformation of ΔDEF, which has coordinates D(3, −2),E(4, 1), and F(7, 2), for a translation 1 unit right and 2 units down. Then identify the correct vertices of the image.
Answer:
D'(2,0), E'(3,3), F'(6,4)
Step-by-step explanation:
The matrix transformation of ΔDEF for a translation 1 unit right and 2 units down for the coordinates D(3, −2), E(4, 1), and F(7, 2) will be D'(2,0), E'(3,3), F'(6,4).
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
It is given that, the coordinates of ΔDEF will be D(3, −2), E(4, 1), and F(7, 2).
For a translation 1 unit right and 2 units down we got the coordinates as D'(2,0), E'(3,3), and F'(6,4).
Thus, the matrix transformation of ΔDEF for a translation 1 unit right and 2 units down for the coordinates D(3, −2), E(4, 1), and F(7, 2) will be D'(2,0), E'(3,3), F'(6,4).
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Among fatal plane crashes that occurred during the past 65 years, 486 were due to pilot error, 52 were due to other human error, 497 were due to weather, 274 were
due to mechanical problems, and 395 were due to sabotage.
Answer:
what is the question?
Step-by-step explanation:
While at summer camp, Mike asked a random camper from each of the 12 cabins how many siblings he or she had. The results below display the responses.
3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1
If there are 48 campers altogether, use Mike’s data to infer the mean of the population. What is the mean number of siblings for the population rounded to the nearest unit?
1 sibling
2 siblings
3 siblings
4 siblings
B / 2 siblings
Step-by-step explanation:
edge 22 , hope it helped
The mean number of siblings for the population rounded to the nearest unit is 2.
What is mean?
Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.
Gien data is:-
3, 2, 0, 1, 0, 2, 3, 4, 1, 2, 2, 1
The mean will be calculated as:-
Mean = ( 3 + 2 + 0 + 1 + 0 + 2 + 3 + 4 + 1 + 2 + 2 + 1 ) / 12
Mean = 21 / 12
Mean = 1.75
Mean = 2
Therefore the mean number of siblings for the population rounded to the nearest unit is 2.
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Find the length of the line segment whose endpoints are (-8,7) and
(6,4).
[tex]\underline{\underline{\large\bf{Given:-}}}[/tex]
[tex]\red{\leadsto}\:[/tex][tex]\textsf{} [/tex][tex]\sf Endpoints \:of \: line \: segment \:are \:(-8,7) [/tex]
[tex]\sf and \:(6,4) [/tex]
[tex]\underline{\underline{\large\bf{To Find:-}}}[/tex]
[tex]\orange{\leadsto}\:[/tex][tex]\textsf{Length of the line} [/tex][tex]\sf [/tex]
[tex]\\[/tex]
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
>>Let us consider these points on a line segment AB such that point A and B lies on opposite ends
[tex] \\A( - 8,7) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: B(6,4)\\ \bull \frac{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }{} \bull \\[/tex]
We will find distance between points by distance formula-
[tex]\red{\underline{\boxed{\sf{Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}}}[/tex]
Here-
[tex]\sf x_2 = 6[/tex][tex]\sf x_1 = -8[/tex][tex]\sf y_2 = 4[/tex][tex]\sf y_1 = 7[/tex]Putting Values:-
[tex]\begin{gathered}\\\longrightarrow\quad \sf AB = \sqrt{(6 - (-8)) ^{2} + (4-7) ^{2} } \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{(6+8)^2 + (-3)^2} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{14^2+ (-3)^2 } \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{196+ 9 } \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\longrightarrow\quad \sf \sqrt{205} \\\end{gathered} [/tex]
[tex]\longrightarrow \sf length \:of \: the \: line \:segment \:whose \: \: [/tex]
[tex]\sf endpoints \;are \: (-8,7) \:and \:(6,4) \:is \: \sqrt{205} \;units [/tex]
Question 1 of 10
A deck of cards contains 52 different cards. A card is drawn at random. What
is the probability that the card drawn is a queen?
A. 0.67
B. 0.04
C. 0.52
D. 0.077
SUBMIT
Answer:
D
Step-by-step explanation:
There are 4 queens out of 52 cards in a deck. Therefore, if each card has the same probability of getting chosen, you have a 4/52 = 0.077 chance of drawing a queen because there are (4 favorable outcomes/queens) / (52 total outcomes)
In an RPG game, each player has 9 talent points, and they can allocate those points into 18 unique talents. How many different arrangements of talent points are there?
The arrangement of the total point is an illustration of combination
There are 162 different arrangements of talent points
How to determine the total arrangementThe number of points is:
Points = 9
The number of talents is:
Talents = 18
So, the number (n) of arrangement is:
n = 9 * 18
This gives
n = 162
Hence, there are 162 different arrangements of talent points
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You toss a fair coin 5 times. What is the probability of at least one head? Round to the nearest ten-thousandth.
Answer:
(B) 0.9688
Step-by-step explanation:
mark me brainliest!!
46 is what percent of 69?
Answer:
66.67
Step-by-step explanation:
So if 69 is 100 percentage then we need to know; x. so x% is 46 then you turn that information into this equation. 100%/x%=69/49 so then you can solve that x is 66.67. So It is 66.67%
how much feet is 0.6 miles
Answer:
0.6 multiply by 5250
its 3168
The Conversion of 0.6 miles is equal to 3,168 feet.
To convert 0.6 miles to feet, we need to use the conversion factor that 1 mile is equal to 5,280 feet.
As, 1 mile= 5280 feet
So, we can multiply 0.6 miles by the conversion factor:
= 0.6 miles x 5,280 feet/mile
= 3,168 feet
Therefore, 0.6 miles is equal to 3,168 feet.
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Write the equation given the point 4,2 and slope 1/2
Hello.
We have a point that the line passes through and its slope.
Let's write the equation in Point-Slope Form:
y-y₁=m(x-x₁)
In this case,
y₁=2
m=[tex]\displaystyle\frac{1}{2}[/tex]
x₁=4
Plug in the values:
[tex]\mathrm{y-2=\displaystyle\frac{1}{2} (x-4)}[/tex]
This is point-slope form. Now, what about Slope-Intercept?
First, we should distribute [tex]\displaystyle\frac{1}{2}[/tex]:
[tex]\mathrm{y-2=\displaystyle\frac{1}{2} x-2}[/tex]
Add 2 to both sides:
[tex]\mathrm{y=\displaystyle\frac{1}{2} x-2+2}[/tex]
Simplify:
[tex]\mathrm{y=\displaystyle\frac{1}{2} x}[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Answer:
Step-by-step explanation:
Slope intercept form: y = mx + b
here, m is the slope and b is the y-intercept.
[tex]y=\dfrac{1}{2}x+b[/tex]
The line passes through the point(4,2)
.Plugin these x ad y values in the above equation to find 'b'
[tex]2= \dfrac{1}{2}*4+b\\\\\\2=2+b\\\\b = 2 - 2[/tex]
b = 0
Equation of the line :
[tex]y =\dfrac{1}{2}x[/tex]
A potter makes 6 bowls in 3 hours.
How long would it take the potter to
make 14 bowls?
answer 7.5 I hope was not too late
a bag contains blue and red cubes 3/11 of the cubes are blue what is the ratio of blue to yellow??
Answer:
um. there are no yellow.
Step-by-step explanation:
One number is six more than twice a second number. If their sum is 120, find the smaller number
Answer: 38
Step-by-step explanation:
Step 1: use variables to replace the two numbers
the second number = x
six more than twice the second number = 2x + 6
Their sum is 120: 3x + 6 = 120
Step 2: solve the equation
3x = 114
x = 114/3 = 38
Step 3: check your answer (optional)
six more than twice 38 = 82
38 + 82 = 120
hope this helps
What is a formula for the nth term of the given sequence? 12, 6, 3
Answer:
I think it is dividing the numbers by 2
, A roller is 75 cm long and has a diameter of 42 cm. It takes 800 revolutions to level a playing field 44 m long. Find the breadth of the field.
Answer:
0.18km
Step-by-step explanation:
Lateral Surface Area = 2πrh
= 2 × 22 × 21 × 75
7
= 9900m^2
Area taken by revolution = 9900 × 800
= 7920000m^2
= 7.92 km^2
breadth = 7.92km^2 ÷ 44
= 0.18km
1. Draw an equilateral triangle whose each side is 4.5 cm
Answer is on the picture
Answer:
Step-by-step explanation:
Please show work and thanks
Answer:
x = 8
each side is 74
Step-by-step explanation:
set two sides equal to each other
see image
What is the median of the following data set?
12, 25, 9, 2, 0, 8
Answer:
9
Step-by-step explanation:
At a cost of $8 per pound, how many ounces of rice flour can be bought for $3.35?
Answer:
$41 cents
Step-by-step explanation:
$8 divided by $3.35 equals $0.41 cents
A prop assistant needs to rent a telescope to use for a scene in a movie. One company charges $57 per day plus a flat fee of $32 to rent a telescope. Another company charged $62 per day with no flat fee. For how many days would the total cost of renting a telescope be the same at both companies? Justify your answer by writing and solving an equation.
Fill in the blanks with the correct answers.
62x = 58x + 32, when x = ____. The total cost of renting a telescope would be the same at both companies for _____ day(s).
The number of days for both Companies to have the same total amount is
6.4 days
Word Problem leading to Algebraic expression
Given Data
Let the total payment be yLet the number of days be xCompany A
Charges per day = $57Flat fee = $32y = 57x+ 32 -----------------1
Company B
Charges per day = $62Flat fee = $0y = 62x + 0-----------------2
Equating 1 and 2 we have
57x+ 32 = 62x+ 0
Solving for x we have
62x-57x = 32
5x = 32
Divide both sides by 5
x = 32/5
x = 6.4 days
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Determine if true:
8^3 divided by 2=250
Answer:
False
Step-by-step explanation:
8^3=512
512 divded by 2=256
256=250
This is false.
Hence this equation is false
Answer:
False
Step-by-step explanation:
Given the following question:
[tex]8^3[/tex]
To find if the solution is true, we must first convert the exponent into a whole number by multiplying three by itself, three times since three is the exponent.
[tex]8^3[/tex]
[tex]8^3=8\times8\times8[/tex]
[tex]8\times8=64[/tex]
[tex]64\times8=512[/tex]
Now divide:
[tex]512[/tex]
[tex]512\div2=256[/tex]
[tex]=256[/tex]
Which means the following statement 8^3 divided by 2 = 250 is indeed "false."
Hope this helps.
List all three digit numbers that have only fours and fives as it’s digit.What is the sum of all of these numbers?
Answer:
The total number of 3-digit numbers that can be formed = 2 × 2 × 2 = 8
1. 444
2. 445
3. 454
4. 455
5. 544
6. 545
7. 554
8. 555
Sum of all these numbers: 3,996
Flora received a 14% raise on her hourly wage of $16.00. Find Flora’s new hourly wage.
First 14% of 16$
[tex]\\ \rm{:}\dashrightarrow 0.14(16)=2.24[/tex]
New wage:-
16+2.24=18.24$If the subjective probability that it will rain is 45%, what is the probability that it will not rain
Answer:
There is a 55% chance that it won't rain.
Make x the subject of…
Answer:
x = mp - np
Step-by-step explanation:
Step 1: Multiply both sides by p.
[tex]m * p = n *p+ (x/p) * p[/tex] [tex]mp=np+x[/tex]Step 2: Subtract np from both sides.
[tex]x + np - np = mp - np[/tex] [tex]x = mp - np[/tex]747 is what percent of 384? Round to the nearest thousandth.
Answer:
1.9453125 = 1.945
Step-by-step explanation:
Divide 747 by 384
Answer is 1.9453125
Look at the number to the right of the thousandths place.
Its 3.
3 is less than 5
drop the 3 and all numbers after.
helP ME PLEASE EEEEE
Answer:
18
Step-by-step explanation:
12 / 4 = 3
4.5 / 1.5 = 3
6.75 / 2.25 = 3
in conc we can see that 3 is most obviously the "scale factor" (id/k what else to call it)
6 x 3 = 18
Answer:
D) $18
Step-by-step explanation:
12 / 4 = 3
4.50 / 1.5 = 3
6.75 / 2.25 = 3
6 x 3 = $18
I need help... It's kinda confusing for me..
Answer:
y = -5x - 1
Step-by-step explanation:
To find the function rule:
We use the equation "y = mx + b"
Function rule: What we need to do to "x" to get "y"
Look at the x-values. You need to know if they are going up by one or if they are skipping. In this case, they are going up by one.
Next, look at the y-values and see how they are changing. The y-values in this table are going down by 5 every time, which means we will multiply each "x" by "-5".
After that, pick the first 'x" in the table and multiply it by "-5", then figure out what you need to do to make it equal the y-value.
You need to subtract 1. This means the rule is "y = -5x - 1"
To check if this is correct, we do the following:
y = -5x - 1
Substitute the first x and y values into the equation
9 = -5(-2) - 1
Multiply -5 and -2
9 = 10 - 1
Subtract 1 from 10
9 = 9
True
Let's check the second equation
y = -5x - 1
Substitute the x and y values in the second column of the table
4 = -5(-1) - 1
Multiply -5 and -1
4 = 5 - 1
Subtract 1 from 5
4 = 4
True
So, the function rule "y = -5x - 1" is true
Start time? Elapsed time 9 3/4 end time 6:00pm
Answer:
3/4 is 45 min, cause a quarter of an hour is 15 min. 6-9=-3 so you basically do Noon subtracted by another 3 hours which is 9am , then subtract those 45 min.
6pm - 6hours = 12pm
(Noon) 12 pm - 3 hours =9 am, then 45 min
9am - 45 min
8:15 am
Justin is 10 years older than Maggie. Four years ago, Justin was three times as old as Maggie. Find Justin’s age now.
Solution:
Note that:
J = 10 + MJ - 4 = 3(M - 4)Finding Maggie's age:
J - 4 = 3(M - 4)=> J - 4 = 3M - 12=> M + 10 - 4 = 3M - 12=> M + 6 = 3M - 12=> 12 + 6 = 3M - M=> 18 = 2M=> M = 9Finding Justin's age:
J = 10 + M=> J = 10 + 9=> J = 19Let Justin's age be x
Let Maggie's age be y
ATQ,[tex] \pmb {x = 10 + y} \\ \pmb{x-4=3(y-4)}[/tex]
Solve using the substitution method!!
In this way the equation will be easier to solve because we will get the value of both x and y together...[tex] \pmb{10 + y - 4 = 3(y - 4)}[/tex]
[tex] \sf 6 + y = 3y - 12[/tex]
[tex] \sf y - 3y =- 12 - 6[/tex]
[tex] \sf - 2y =- 18 [/tex]
[tex] \sf y =9[/tex]
Substitute the value of y into the first equation
[tex] \pmb{x= 10 + y} \\ \pmb{x = 10 + 9} \\ \pmb{x = 19}[/tex]
Thus, Maggie's age is 9 and Justin's age is 19...~