Answer:
12.54m by 12.54 and 8.54m by 8.54m
Step-by-step explanation:
Area of a square = L²
L is the side length of the room
The total area of the two square room = A₁+A₂
T = A₁+A₂
T = L₁²+x²
If the two square rooms have a total floor area of 230 m², then;
L₁²+x² = 230. ..... 1
If one room is 4 meters bigger each way than other, then;
L₁ = x + 4 .... 2
where x is the length of the smaller room
Substitute equation 2 into 1;
From 1: L₁²+x² = 230
(x+4)²+x² = 230
x²+8x+16+x² = 230
2x²+8x+16-230 = 0
2x²+8x-214 = 0
x²+4x-107 = 0
x = -4±√16-4(-107)/2
x = -4±√16+428/2
x = -4±21.07/2
x = 17.07/2
x = 8.54m
L₁ = x+4
L₁ = 8.54+4
L₁ = 12.54m
Hence the dimensions of the room is 12.54m by 12.54 and 8.54m by 8.54m
please answer this question.
I will give brainiest to whoever answers correctly !!
Please do not steal my points I'm tired of it put a legit answer or leave!! I will give brainiest to whoever answers correctly!!
Graph the line.
y=3x
How do you graph that?
-- i have attached a picture of the graph
- in order to graph, plug in values for x and find y
- this would create order pairs which you will plot.
some order pairs:
(0,0)
(1,3)
(2,6)
Answer: Plot the two points (0,0) and (1,3). Draw a straight line through them. The graph is shown below.
===========================================================
Explanation:
When x = 0, we have y equal to...
y = 3x
y = 3*0
y = 0
So this means (x,y) = (0,0) is one point on the line
Let's follow those steps for x = 1
y = 3x
y = 3*1
y = 3
So the point (x,y) = (1,3) is also on the line.
You can repeat this process for any x value you want; however, we only need two points to form the line. Plot (0,0) and (1,3). Then draw a straight line through both points. Extend the line as far as you can in either direction. This forms the graph of y = 3x.
You can use a graphing calculator (eg: TI83) to get the job done. Or you can use a free online resource such as GeoGebra or Desmos. I prefer GeoGebra as it offers more options. The graph shown below was made with GeoGebra.
Note that moving from point A(0,0) to B(1,3) has us move up 3 and over to the right 1. This is due to the slope of 3 = 3/1.
y = 3x is the same as y = 3x+0. It is of the form y = mx+b with m = 3 = 3/1 as the slope and b = 0 as the y intercept.
You have 12 coins of which you need to flip only 4 heads. If the probability of flipping heads is 35%, what is the probability that you get only 4 heads? Please and thank you!
Answer:
33.3333333333
Step-by-step explanation:
One coin would equal over 11 more would be 8.3333333333 so time that by 4
GoodLuck
Are the triangles similar? If so, what postulate or theorem proves
their similarity?
Answer:
Yes, by SSS
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer:
3 ft 1 in
Step-by-step explanation:
As 12 in= 1 ft,
So, 3 in+ 10 in= 1 ft 1 in
Total= 2 ft + 1ft 1 in
= 3 ft 1 in
Divide. Express each answer as a decimal.
5 ÷ 2 =
2 ÷ 5 =
50 ÷ 4 =
4 ÷ 50
A pitcher of Kool-Aid uses one packet of flavoring, 1 cup sugar, and 8 cups of water. 1 cup of sugar = 200 grams. If the pitcher of Kool-Aid was divided into 8 glasses, How many grams of sugar are there per glass?
A. 25
B. 50
C. 3 25/5
D. 3
E. 22
Answer:
A.
Step-by-step explanation:
200/8=25
Answer:
A. 25 grams
Step-by-step explanation:
I that answer by counting by 25s, 8 times
Hope this Helps! :)
The following data represent the 2011 guaranteed salaries (in thousands of dollars) of the head coaches of the final eight teams in the 2011 NCAA Men's Basketball Championship. The data represent the 2011 salaries of basketball coaches of the following universities, entered in that order: Arizona, Butler, Connecticut, Florida, Kansas, Kentucky, North Carolina, and Virginia Commonwealth. (Source: www.usatoday) Compute the range, variance and standard deviation for these data.
The question is incomplete. Here is the complete question.
The following data represents the 2011 guaranteed salaries (in thousands of dollars) of the head coaches of the final 8 teams in the 2011 NCAA Men's Basketball Championship. The data represent the 2011 salaries of basketball coaches of the following universities, entered in that order: Arizona, Butler, Connecticut, Florida, Kansas, Kentucky, North Carolina and Virginia Commonwealth. (Source: www.usatoday.com)
1950 434 2300 3575 3376 3800 1655 418
Compute the range, variance and standard deviation for these data.
Round your answers to the nearest integer, where appropriate.
Answer: Range = 3382
Variance = 1785193
Standard Deviation = 1336
Step-by-step explanation: Range is the difference between the highest value and lowest value of the set.
Range for the coaches salaries is
range = 3800 - 418
range = 3382
Variance and Standard Deviation are both the statistical measures of the spread between in the data set. In other words, they show how far the numbers in the set are from the mean of the data.
Variance is calculated as
[tex]s^{2}=\frac{\Sigma (x-\mu)^{2}}{n}[/tex]
x are the numbers in the set
μ is the mean
n is sample or population quantity
For the coaches' salaries, variance is
[tex]s^{2}=\frac{\Sigma (418-2188.5+...+3800-2188.5)^{2}}{8}[/tex]
s² = 1785192.6
Standard deviation is the squared root of variance:
[tex]s=\sqrt{s^{2}}[/tex]
Then, for coaches' salaries:
[tex]s=\sqrt{1785192.6}[/tex]
s = 1336.11
For the 2011 coaches' salaries, range, variance and standard deviation are 3382, 1785193 and 1336, respectively
Help me please and thanks!
Answer:
1. B
2. A
Step-by-step explanation:
1. Because there are 9 zeros.
2.
4096 bytes = 1 page
(8 * 10^9) / 4096 = closet answer is A
Help please explain pythagorean theorem
Answer:
In mathematics, the Pythagorean theorem, or Pythagoras's theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares on the other two sides. This theorem can be written as an equation relating the lengths of the sides a, b and c, often called the Pythagorean equation:[1]
{\displaystyle a^{2}+b^{2}=c^{2},}a^{2}+b^{2}=c^{2},
where c represents the length of the hypotenuse and a and b the lengths of the triangle's other two sides. The theorem, whose history is the subject of much debate, is named for the Greek thinker Pythagoras, born around 570 BC.
The theorem has been proven numerous times by many different methods—possibly the most for any mathematical theorem. The proofs are diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years.
The theorem can be generalized in various ways: to higher-dimensional spaces, to spaces that are not Euclidean, to objects that are not right triangles, and to objects that are not triangles at all but n-dimensional solids. The Pythagorean theorem has attracted interest outside mathematics as a symbol of mathematical abstruseness, mystique, or intellectual power; popular references in literature, plays, musicals, songs, stamps, and cartoons abound.-Wikipedia
Are these fractions equivalent to 4/9?
20/36
8/18
24/45
12/27
Answer:
No
Step-by-step explanation:
4/9 is not equvalent to 20/36
HELP!! WILL GIVE BRAINLIEST
Answer:
+1,-15
Step-by-step explanation:
Answer:
-15/1, It is linear, and has a constant rate of change.
Step-by-step explanation:
The blue dot is the value of the number line
Answer:
4
Step-by-step explanation:
A specific type of financial instrument pays 15% simple interest (based on the purchase value) and lasts for 1.5 years. The instrument can be bought at any price. An investor purchases the instrument for P0, and has calculated that the total value of the investment (i.e. P0 plus interest earned) will be $4,000 at maturity.
Answer:
Correct answers:
$3265$
For this, we can use the formula
A=P0(1+rt).
We know that A=$4,000,r=15%=0.15 and t=1.5, so we can rearrange the formula for A to give
P0=A1+rt,
and substituting the known quantities gives
P0=$4,0001+0.15×1.5=$4,0001.225=$3,265.30..,
which is $3,265 to the nearest dollar.
Step-by-step explanation:
Answer:
Step-by-step explanation: For this, we can use the formula
A=P0(1+rt).
We know that A=$4,000,r=15%=0.15 and t=1.5, so we can rearrange the formula for A to give
P0=A1+rt,
and substituting the known quantities gives
P0=$4,0001+0.15×1.5=$4,0001.225=$3,265.30..,
which is $3,265 to the nearest dollar.
there are 20 kids in your class and 13 of them are car riders. How many are bus
Distributive property means
Answer:
according to
Step-by-step explanation:
To “distribute” means to divide something or give a share or part of something. According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
The Suarez family paid $17.00 for 4 movie tickets. How much would they have paid for 12 tickets?
Answer:
34
Step-by-step explanation:
Pls help me this is due today I’ll brainlest for the right answer
Answer:
8.67 dollars per ft squared
Step-by-step explanation:
This is a fraction equal to
130 dollars ÷ 15 ft squared
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 15
130 dollars ÷ 15
15 ft squared ÷ 15
=
8.67 dollars
1 ft squared
=
8.67 dollars
ft squared
= 8.67 dollars per ft squared
Answer:
$8.67
Step-by-step explanation:
you have the the price for 15 square ft
and you are trying to get the price for 1 square ft
just divide the original price by 15
here's the equation format
130 = 15 x
solve for x
Fancy Nails charges $28 for a pedicure plus $9 for each treatment. Lara's Nails charges $22 for
a pedicure plus $11 per treatment.
How many treatments need to be purchased for the cost at both places to be the same?
(Use the system of equations below) *
(1 Point)
y = 9x + 28 & y = 11x + 22
Answer:C.4
Step-by-step explanation:
Answer:
It's B.3
Step-by-step explanation:
Substitution. With the equation Y= 9x+28 and Y= 11x+22, you substitute the x-factor with '3'. Which will give you
Y= 9(3)+28 Y= 11(3)+22
Y= 27+28 Y= 33+22
Y= 55 Y= 55
You can use the blank to remove parentheses in the process of solving the equation -10(x + 5) = 40 its a vocab pls help me
-10(x + 5) = 40
-10x - 50 = 40
+50 +50
-10x = 90
/-10 /-10
x = -9
Hope this helped! :D
I don’t know the answer to this question, I need help the question is in the picture!
Answer:
it is 112° .. as you will solve it like this (180-44=136) and each angle down there are equal so we will divide 136÷2 so each angle is 68° ,, finally to find x you can do it in two ways 1) (68+44) =112 or you can go with (180-68=112)
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
x - y = 3
PLEASE HELP ME!
Determine each number by writing a proportion. Round to the nearest tenth if necessary.
What is 15% of 150?
Answer:
22.5
Step-by-step explanation:
Set up your proportion. You do 150x15=2,250. 2,250/100=22.5.
Which pair of numbers has a sum of 100?
A
62, 48
B
52,58
с
42, 58
D
42, 48
Meeting now
50:06
Answer:
C
Step-by-step explanation:
42+58=100
What is .24 as a whole number?
Which is the value of y in the solution of this system of linear equations? −10x+4y=46 6x=−18
A. y=−4
B. y=−3
C. y=4
D. y=19
it’s C i took a benchmark and the answer was c
Given the functions h(x) = 1/2x + 3 and j(x) = |x|, which value of x makes h(x) = j(x)?
(1) - 2
(2) 2
(3) 3
(4) -6
Answer:
(1) or A or whatever lol
Step-by-step explanation:
basically just plug the number in, set them equal to each other, and see if the equation is true...
1/2(-2)+3=|-2|
-1+3=2
2=2
1/2(2)+3=|2|
1+3=2
4=2
1/2(3)+3=|3|
1.5+3=3
4.5=3
1/2(-6)+3=|-6|
-3+3=6
0=6
the only one that is a true statement is x=-2
Answer:
-2
Step-by-step explanation:
just had the same question
• How can the product of two whole numbers (e.g., 48
and 19) help us find the product of two decimals with
the same digits (e.g., 0.048 and 1.9)? Write your
explanation in the text box.
Let's say we already did the work and found the result of 48*19. That result is 912.
When it comes to multiplying 0.048 and 1.9, we're going to need to do two things to transform those numbers into 48 and 19.
Move the decimal point of 0.048 exactly three spaces to the right. This is the same as multiplying by 1000. So 1000*0.048 = 48
Move the decimal point of 1.9 exactly one space to the right. This is the same as multiplying by 10. So 10*1.9 = 19
Overall, we've multiplied by 1000*10 = 10,000. This means 48*19 = 912 is 10,000 times larger compared to the result of 0.048*1.9
To fix this, we need to divide by 10,000 to get 912/(10,000) = 0.0912
Dividing by 10,000 is the same as moving the decimal point to the left four spaces. Note how 10,000 = 10^4.
I recommend using your calculator to see that 0.048*1.9 = 0.0912 which matches with the previous result we got.
Tyler paid $16 for 4 raffle tickets. a. What is the price per ticket? b. How many tickets is that per dollar? How much would all 1,000 raffle tickets cost?
