Answer:
Step-by-step explanation:
1. 34
2.12
3. 45
Which rule describes the composition of transformations that maps triangle BCD to triangle B""C""D""?
Answer:
(d)
Step-by-step explanation:
Given
See attachment for [tex]\triangle BCD[/tex] and [tex]\triangle B"C"D"[/tex]
Required
The transformations
Using B and B"" as points of reference, we have:
[tex]B = (1,4)[/tex]
[tex]B"" = (5,-1)[/tex]
The transformation is as follows:
First, reflect across y axis.
The rule is:
[tex](x,y) \to (-x,y)[/tex]
So, we have:
[tex]B(1,4) \to B'(-1,4)[/tex]
Next, translate 6 units right.
The rule is:
[tex](x,y) \to (x + 6,y)[/tex]
So, we have:
[tex]B' (-1,4) \to B"(-1 + 6,4)[/tex]
[tex]B' (-1,4) \to B"(5,4)[/tex]
Lastly, translate 5 units down
The rule is:
[tex](x,y) \to (x,y-5)[/tex]
So, we have:
[tex]B"(5,4) \to (5,4-5)[/tex]
[tex]B"(5,4) \to (5,-1)[/tex]
Hence; (d) is correct
A 7.0 kg textbook is placed in a shelf 1.5 m high. What is the potential energy relative to the floor?
Answer:
PE = 102.9 Joules
Step-by-step explanation:
PE = mgh
= (7.0 kg)(9.8 m/s^2)(1.5 m)
= 102.9 Joules
mel randomly selects a coin 150 times of which she selects a dime 30 times
Answer:
Random numbers for experimental probability. This means that if we roll a die 60 times we can expect each of the six faces to come up.
hope this helps
have a good day :)
Step-by-step explanation:
The distance between two cities is 4000 kilometers. One kilometer is 6 10 millimeters. What is the distance between the two cities in millimeters?
Answer: 4,000,000,000 mm
Step-by-step explanation:
One kilometer is 10^6 or 1000000 millimeters
So 4000x1000000
4x1 is 4
Annex the zeros. There are 9 zeros.
= 4,000,000,000 millimeters
The distance between the two cities in millimetres of 4,000,000,000 mm
What is a distance?
Distance is defined as the length between the two points just like in the question it is the length between the two cities.
We know that:-
One kilometer is 10^6 or 1000000 millimeters
So 4000x1000000
4x1 is 4
Annex the zeros. There are 9 zeros.
= 4,000,000,000 millimeters
Therefore the distance between the two cities in millimetres of 4,000,000,000 mm
To know more about distance follow
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Natalie's aunt gave her $47 to spend on clothes at the mall. She bought 4 shirts that cost $4 each and a pair of pants that cost $13. How much money does Natalie have left to buy more clothes?
Answer:$18
Step-by-step explanation:4 * 4 = $16. One pair of pants = $13. 16 + 13 = $29. 47 - 29 = $18
A 10-foot ladder leans against a wall so that it is 6 feet high at the top. The ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up. How much higher is the top of the ladder now? (Hint: Let 8−2x be the distance from the base of the ladder to the wall.)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
Answer:
Step-by-step explanation:
The Pythagorean Theorem holds for both positions.
The first configuration is an 6-8-10 right triangle.
The second configuration using the Pythagorean Theorem:
10^2 = (8-2x)^2 + (6 + x)^2
100 = 64 - 32x + 4x^2 + 36 + 12x + x^2
100 = 100 - 20x + 5x^2
5x^2 - 20x = 0
5x(x - 4) = 0
x = 4 feet (we throw out the x = 0 solution as extraneous)
What is 5 11/10 simplified
Answer:
61/10 or in decimal form 6.1 or 6 1/10
Step-by-step explanation:
Anyone know how to do this? If so PLZ HELP ASAP
Answer:
20
Step-by-step explanation:
Answer:
3626 i hope this is correct sorry if it is not
Step-by-step explanation:
Jennifer buys a desk on sale for $478.60. If the regular price was $684.00, what is the percentage of discount?
Answer:
30%
Step-by-step explanation:
Find the percent discount by dividing the change in the price by the original price:
(684 - 478.6) / 684
205.4 / 684
= 0.3
So, the percent discount was approximately 30%
15 points, needs to be done ASAP! Any joking around will lead to a report.
Answer: The mean is 6.
Step-by-step explanation: First you add all of the numbers together getting a total of 48. Next to find the mean you divide them by the total number of "dots". Lastly, you get the answer of 6 which is your mean.
Answer:
6.
Step-by-step explanation:
First you take the data on the dot plot, and write the numbers down from least to greatest.
The data set:
2,3,6,6,7,8,8,8
Now that you have the data reordered in a easier way to read, add up all the numbers that you got from the dot plot.
2+3+6+6+7+8+8+8=48
Next we count all the number in the data set we made.
2,3,6,6,6,7,8,8,8 = 8
The amount of numbers in this data is 8.
Lastly we then divide 48 by 8.
48/8= 6
So your answer is 6!
WILL GIVE BRAINLIEST, NO LINKS
Find the area of the polygon.
Answer:
166.3
Step-by-step explanation:
line that shows 8, shows that each of six sides is 8
so that's 48
to get the "apothem"
it means get a side of the triangle where the hypotenuse is 8 and the base is 4 (half of 8)
so that is square root of 48 which is like 6.928
then plug into the formula
1/2 x 6.928 x 48 which is like 166.27
Kelly's team won 85% of the games they played in a season. The team lost 12 games. How many games did Kelly's team win in the season?
Answer:
68 games
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Games won = 85%
Game lost = 12
Here, 100% - 85% = 12
15% = 12
or 1% = 0.8
So, total games played (100%) = 80 games
Now, number of games won = Total games - Games lost
= 80 - 12
= 68 games
Hence, Kelly's team wins 68 games in the season.
The meadian of 26 29 31 33 36
..................................................................
After a company celebrated its ten year anniversary, the president of the company wanted to know how long employees have been with the company. Human resources provided the president with the box plot below.
Using the box plot, determine the best measures of the data.
The best measure of center is the (blank)
, and the best measure of variability is the (blank)
.
The number that best summarizes the data is (blank)
years of service.
The number that best describes how the data varies is (blank)
years of service.
Step-by-step explanation:
The measures of variability is blank, the number that best summarizes the data is blank, and the number that best describes how the data varies is blank
Please send the box plot, I can solve it then but there is not enough info right here. Sorry!
enter the value for x that makes the equation 4x-2+3x-7 true
Answer:
I think the answer is
[tex]x = \frac{9}{7} [/tex]
Step-by-step explanation:
Reason :
[tex]4x - 2 + 3x - 7 = 0 \\ collect \: like \: terms \\ 4x + 3x - 7 - 2 = 0 \\ 7x - 9 = 0 \\ 7x = 9 \\ x = \frac{9}{7} [/tex]
Therefore
[tex]x = \frac{9}{7} [/tex]
riverview soccer team won 10 games and drawn 2 out of 18 games so far this season. what is the probability they will lose their next game
A multiple choice test contains 10 questions with 5 answer choices. What is the probability of correctly answering 5 questions if you guess randomly on each question?
Answer:
25%
Step-by-step explanation:
So first, 5 answers is 50% of 10 questions
Then, if these problems have only 2 choices then 50%/2=25%
hey guys i really need help rn bc i’m in a rush to get this done. i’m begging u if u could help me with this question an a few others i’ll mark brainiest. just pls help!
Answer:
9 1/2
Step-by-step explanation:
=2*3+3 1/2
=6+3+1/2
=9 1/2
One side of a rectangle is 3 m more than the other. If the perimeter of the rectangle is 30 m, what are its dimensions? *
Answer:
the length— 6
width— is 9
Step-by-step explanation:
you said One side— 3m MORE
so we will consider the length Number as X
we will consider width As three plus X
- You want to know the Perimeter. So we have to
add.
— so the expression is 3+3+x+x+x+x = 30
it is then simplified to 6+4x= 30
then we should be able to find out the X which is 6
when we substitute the values with dimensions, you will get
your final Answer
I hope This Helped!
x^2/3=12
Plz I need help with this ASAP, it’s solving quadratic functions by square roots by the way
Answer:
this is easy. all you have to do is multiply the denominator (3) by the outside number (12) to get 36. this leaves the equation being x^2 = 36. now you just find the square route of 36 (which is 6).
Step-by-step explanation:
x^2/3 = 12
12 x 3 = 36
x^2 = 36
/36 = 6
x = 6
Step-by-step explanation:
explanation is on the picture
Peter says If you subtract 14 from my number and multiply the difference by -2, the result is -44 What is Peters number?
Answer:
36
Step-by-step explanation:
According to the scenario, computation of the given data are as follows,
Let the number be x, then
First subtract 14 from number x, then
x - 14
Now multiply difference by -2, results -44
(x - 14) × -2 = -44
By solving equation,
-2X + 28 = - 44
- 2X = -44 - 28
X = -72 ÷ -2
x = 36
So, Peter's number is 36.
“Type your answer in the box below without units” HELPPPPP
Answer
each loaf cost $2 all you had to do was divided 24 and 12 and you get $2
Step-by-step explanation:
Someone help and plz make sure it’s right will give brainiest if it is :)
Answer:
67....................
The current temperature is 48F. It is expected to drop 1.5F each hour. Determine how many hours the temperature will be 36 F.
Answer: 6 hours
Step-by-step explanation:
48/6 = 8
36/6 = 6
Write an expression for 213 increased by d.
Write an expression for 213 increased by d: [tex]213+d=x[/tex]
Please help worth 30 points it’s geometry.
I have a grade check tmr and I have an F in geometry please help!!!
Answer:
everything is in the photo
James is reading a book and noticed the page numbers are consecutive integers whose product is 1640. What is the value of the larger page number?
Answer:
41
Step-by-step explanation:
A pair of consecutive numbers is written as: N and N + 1
(where the larger page number is N + 1)
And we know that the product of these numbers is 1640.
Then:
(N)*(N + 1) = 1640
Solving for N, we get:
N^2 + N = 1640
N^2 + N - 1640 = 0
This is a quadratic equation, remember that for a general quadratic equation:
a*x^2 + b*x + c = 0
The solutions are:
[tex]x = \frac{-b\pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]
In our case, the solutions are:
[tex]N = \frac{-1 \pm \sqrt{(1)^2 - 4*1*(-1640)} }{2} = \frac{1 \pm 81}{2}[/tex]
Then the two solutions are:
N = (-1 + 81)/2 = 40
N = (-1 - 81)/2 = -41
Because N represents the number on a page, it only can be a positive value, then we take the positive solution.
Then the two consecutive numbers, N and N + 1
are:
N = 40
N + 1 = 41
The value of the larger page number is 41.
On two investments totaling $6,500, Lydia lost 7% on one and earned 8% on the other. If her net annual receipts were $364, how much was each investment?
Answer:
$3,442.40
$3,057.60
Step-by-step explanation:
The computation of the each investment is as follows:
let us assume the one investment be x
And, the other investment be y
So
According to the question
x + y = $6,500
And,
-7x + 8y = $364
Now multiply by 7 in equation 1
7x + 7y = $45,500
-7x + 8y = $364
15y = $45,864
y = $3,057.60
x = $6,500 - $3,0657.60
= $3,442.40
(416-645)x(4965^3)+50222+
Answer:
It's
−28028073006403
Hope it helps!
Answer: − 2 8 0 2 8 0 7 3 0 0 6 4 0 3
Step-by-step explanation: i assume ur last + was supposed to be = ?
Find the volume of the triangular prism below 5mm 12mm 3mm
Answer: 90 mm cubed
Step-by-step explanation:
Formula = (L*W*H) / 2
5 * 12 * 3 = 60 * 3 = 180
180 / 2 = 90