Answers
[tex]\text{Let the side of square 1, square 2 and square 3 be x, y and z respectively.}\\\\\text{Given that,}\\\\\text{Perimeter of square 1,~~ p =100 units.}\\\\\text{So}~ x=\dfrac p 4 = \dfrac{100}4 =25~\text{units.}\\\\\\\text{Area of square 2, a = 225 units}^2\\\\\text{So}~y = \sqrt{a} = \sqrt {225} = 15~ \text{units.}\\\\\text{Use Pythagorean theorem to find z}^2\\\\x^2 =y^2 +z^2 \\\\\implies 25^2 = 15^2 +z^2\\\\\implies z^2 = 625 - 225 = 400\\\\\\[/tex]
[tex]\text{Hence the area of square 3 is 400 units}^2.[/tex]
Answer:
400 square units
Step-by-step explanation:
The side length of square 1 is 1/4 of its perimeter, so is 100/4 = 25 units. The area of square 1 is the square of the side length, so is 25² = 625 square units.
The area of square 3 is the difference in the areas of squares 1 and 2. This is due to the Pythagorean theorem.
area 3 = area 1 - area 2
area 3 = 625 -225
area 3 = 400 . . . . square units
Related Questions
in a subway, x men and y women travel. explain what is meant by the expression: y-x
Answers
Answer:
Step-by-step explanation:
y - x means the the difference in the number of women compared with men.
So if there are 20 women and 14 men, y - x = 20 -1 4 = 6 , that is 6 more women than men.
If there are more men than women then y - x will have a negative value, and there will be, if we flip the above numbers. 6 more men than women.
\sf 45-2x=75-3x
Free
Answers
[tex]\sf \longmapsto45 - 2x = 75 - 3x[/tex]
[tex]\sf \longmapsto45+−2x=75+−3x[/tex]
[tex]\sf \longmapsto−2x+45=−3x+75[/tex]
[tex]\sf \longmapsto \: −2x+45+3x=−3x+75+3x[/tex]
[tex]\sf \longmapsto \: x+45=75[/tex]
[tex]\sf \longmapsto \: x+45−45=75−45[/tex]
[tex]\sf \longmapsto \: x=30[/tex]
[tex] \boxed{\sf 30}[/tex]
If m∠2=6x+8 and m∠6=8x-6, find the value of x so that l||m.
Answers
Answer:
x = 7
Step-by-step explanation:
∠2 and ∠6 are known as alternate interior angles. These angles equal one another. Set up the following equation and solve for x.
[tex]m\angle2=m\angle6\\\\6x+8=8x-6\\\\8=2x-6\\\\14=2x\\\\7=x[/tex]
20 large bottoles can be recyled to make 1 fleece jacket how many fleece jackets can you make with 360 large plastic bottoles
Answers
Answer:
18 fleece jackets can be made
I think you have to divide 360 by 20 (Im not sure)
Hopefully this can help :)
I need help to divide fractions
BTW I'm in 5th grade
Answers
Is x+y=10 linear or non
Answers
Answer:
Not
Step-by-step explanation:
In this case, the degree of variable y is 1 , the degrees of the variables in the equation violate the linear equation definition, which means that the equation is not a linear equation.
spilled $40 into the ratio of 3:7
Answers
Answer:
$12/$28
Step-by-step explanation:
Let x and y represent the two amounts of money adding up to $40.
Assume that x is the smaller amount. Then:
x 3
----- = ----- Remembering that x + y = $40, we get x = $40 - y
y 7
amd sp we have
$40 - y 3
-------------- = ------ which, after cross-multiplication, is $280 - $7y = 3y
y 7
Simplifying this, we get $280 = 10 y, so that y must be $28. If y = $28, x must be $40 - $28, or $12.
$12
Then $40, split in the ratio 3/7, is the ratio ----------------
$28
Check: Note that $12 + $28 = $40, as required, and that $12/$28 = 3/7.
HELP WHAT IS 22 + 5/8 x -1/2
I will give brainliest!
Answers
Answer:
181/8
Step-by-step explanation:
Answer:
5x/8 + 43/2
Explanation:
The answer is the exact value.
At time t = 0, water begins to drip out of a pipe into an empty bucket. After 77 minutes, there are 11 inches of water in the bucket. Write a linear function rule to model how many inches of water w are in the bucket after any number of minutes t.
The linear function rule is W =
Answers
Answer:
w = 1/7t
Step-by-step explanation:
Assuming the rate is constant, the function will be ...
w = kt
We can find k using the given values:
11 = k·77
k = 11/77 = 1/7
The linear function rule is w = 1/7·t.
4.
Graph the equation 3x – 2y = -4.
Answers
2y=3x+4
(NOW DIVIDE BY 2 , TO MAKE Y ALONE)
Final answer is : Y = 3/2x + 2
a
8) A bridge builder plans to construct a cable suspension bridge in your town. The cable being used will form
a curve modeled by the equation h(x) = 3x2 - 6x + 200, where x represents the length of cable used (in feet)
and h(x) represents the height of the cable (in feet). At what height will the cable hang closest to the bridge
deck?
Answers
Answer:
197
Step-by-step explanation:
https://www.cusd80.com/cms/lib/AZ01001175/Centricity/Domain/8294/HA2%20Chapter%202%20Review%20Key.pdf
a shop produces 39 salt lamps in 2 weeks. how many salt lamps will they produce in 22 weeks?
Answers
Answer:
You will sell 429 salt lamps in 22 weeks.
Step-by-step explanation:
show your work
3|n-4| = 18
Answers
Answer:
n = 10, n = -2
Step-by-step explanation:
hope it helps.
What is power of 3 square root of 4 / square root of 2 in simplest radical form?
Answers
Answer:
√90=3√10
Step-by-step explanation:
What is the value of w in this equation?
10w = 27 + w
Answers
Answer:
w = 3
Step-by-step explanation:
10w = 27 + w
since there is two like terms in this equation which are 10w and w, we can subtract w from both sides to get it on one side of the equation
10w = 27 + w
-w - w
9w = 27
now we have to get w alone so we have to divide 9 by both sides
9w/9 = w
27/9 = 3
so w = 3
10w=27+w
-w
9w=27
—-
9
W=3
Mrs. Janssen has a class of 10 students. In her class, there are 4 boys and 6 girls. Mrs. Janssen chooses two students from her class randomly.
What is the probability that she did NOT choose a boy either time?
Answers
Probabilities are used to determine the chance of events
The probability that she did NOT choose a boy either time is 1/3
The given parameters are given as:
[tex]\mathbf{n = 10}[/tex] --- total number of students
[tex]\mathbf{Boys = 4}[/tex] --- total number of boys
[tex]\mathbf{Girls = 6}[/tex] ---- total number of girls
If she did not choose a boy in either selection, then it means that both selections are girls.
So, the probability is calculated using:
[tex]\mathbf{P = P(Girl) \times P(Girl)}[/tex]
The selection is without replacement.
So, we have:
[tex]\mathbf{P = \frac{Girl}{n} \times \frac{Girl-1}{n-1}}[/tex]
Substitute known values
[tex]\mathbf{P = \frac{6}{10} \times \frac{6-1}{10-1}}[/tex]
[tex]\mathbf{P = \frac{6}{10} \times \frac{5}{9}}[/tex]
Simplify
[tex]\mathbf{P = \frac{1}{3}}[/tex]
Hence, the probability is 1/3
Read more about probabilities at:
https://brainly.com/question/11234923
The mean of 17,x,10,17,51 is 21 find x
Answers
Answer:
x=10
Step-by-step explanation:
(17+x+10+51+17)/5=21
95+x=105
x=10
The required value of x for the given mean of the data is x = 10.
How to find the mean of the given sample of data?In order to find the mean for a sample, first count the number of data in a sample, say n. Then, do the summation of all the values in that sample and divide it by the number of data obtained earlier.
Mathematically, it can be written for n number of data x₁, x₂, x₃, ..... as,
Mean = ( x₁ + x₂ + x₃ + .....)/n.
Given that,
The mean of 17, x, 10, 17 and 51 is 21.
It can be written in mathematical form as,
(17+ x + 10 + 17 + 51 )/5 = 21
=> 17+ x + 10 + 17 + 51 = 21 × 5
=> x = 105 - 95
=> x = 10
Hence, for the given data the value of x is 10.
To know more about mean click on,
https://brainly.com/question/22871228
#SPJ2
Roxana makes bracelets and necklaces and sells them at the farmers’ market. She sells the bracelets for $12 each and the necklaces for $18 each. At the market next weekend she will have room to display no more than 40 pieces, and she needs to sell at least $500 worth in order to earn a profit. (Thank you so much for anyone who answers it
Answers
Answer:
She could out 20 necklaces and 20 bracelets on display and she would make $600.
Step-by-step explanation:
$18 necklaces x 20= $360
$12 bracelets x 20 = $240
totalling $600
What is 2 hundredths in standard form in fifth grade
Answers
0.02
0._ is tenths and
0.0_ is hundredths
Answer:
Step-by-step explanation:
5th Grade Math 1.2, Place Value of Whole Numbers, Standard Form ... this is the name of the video. I hope it helps.
What is the value of x in the triangle?
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The value of x is ~
[tex] \boxed{5 \sqrt{3} }[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
The Triangle stated in the diagram is a right angled Triangle, so
[tex] \tan(30) = \dfrac{x}{15} [/tex][tex] \dfrac{1}{ \sqrt{3} } = \dfrac{x}{15} [/tex][tex]x = \dfrac{15}{ \sqrt{3} } [/tex][tex]x = 5 \sqrt{3} [/tex]HELP ASAP
Solve for the measure of ∠PMR
Answers
Answer:
116*
Step-by-step explanation:
Since <PMR consists of <RPW and <WPM and we know that these are the same, we just have to multiply 58 by 2 and get 116, which will be your answer.
Tell me if I'm wrong :)
I'm not exactly sure how to do this. I know how you would graph it but I don't know the transformation.
Answers
Answer:
Its D.
Step-by-step explanation:
The 3 as the exponent makes it cubic and since the x+1 is in parenthesis you would move it 1 unit to the left
y=[3/2] x+3.
Pls help me .
Its a graph sum
Answers
Answer:
I'm not sure what the question is. Graph?
Step-by-step explanation:
See graph.
Answer:
352
what r u do
789
why nt coming
why r u nt talking
what is the y- intercept of this quadratic funtions f(x)=-x2+10x-22
Answers
Plug in x = 0
F(0) = -0^2 + 10(0) - 22
F(0) = 0 - 22
The y intercept is (0,-22)
1\4-2\7 plese show your work
Answers
Answer:
-1/28
Step-by-step explanation:
You need to convert 2/7 and 1/4 into the same denominator. The GCD is 28. 2/7=8/28 and 1/4=7/28. 7/28-8/28=-1/28
Answer:
-1/28
Step-by-step explanation:
You have to find the least common multiple for 7 and 4, the denominators, to add the fractions. The LCM of 7 and 4 would be 28. You would have to multiply 7 by 4 and 4 by 7, meaning you have to multiply the numerators by the same number. 1x7/4x7-2x4/7x4= -1/28.
3g + 4y - 8 + 2t + 5
Answers
Answer: 3g + 4y - 13 + 2t
Step-by-step explanation:
[tex]3g + 4y - 8 + 2t + 5 \\ 3g + 4y + 2t - 8 - 5 \\ = 3g + 4y + 2t - 3[/tex]
Work out the mean for the data set below:
3.4, 5.2, 4.7, 3.5, 0.5
Give your answer as a decimal.
Answers
Answer:
3.4 + 5.2 + 4.7 + 3.5 + 0.5
= 17.3
There are a total of 5 numbers
17.3 / 5
= 3.46
Hey can you guys help me pls :))
Answers
Answer:
-d-1<2. => -(-2)-1=1<2. the forth option is true
Jason has sixteen books and fifteen magazines in his library. He bought several books at a yard sale over the
weekend. He now has ninety-four books in his library. How many books did he buy at the yard sale?
Answers
Answer:
48 books
Step-by-step explanation:
you would take away the 15 magazines because that doesn't matter.you would put 94 books on top first and then subtract 16 books to thatthen putting that problem together you should get 48what is the answer too 2y-3=-5
Answers
2 − 3 = −5
First we need to Add 3 to both sides of the equation:
2 − 3 + 3 = −5 + 3
Then we simplify:
2 = −5 + 3
2 = −2
Now we divide both sides of the equation by the same term:
2 / 2 = −2 / 2
Final answer: = −1
I hope this helps!
Answer:
Y= - 1
Step-by-step explanation:
2y-3= - 5
+3 +3
2y= -2
/2 /2
Y= -1
Step 1: Add 3 to both sides because you want to cancel out the 3 so you do the opposite of what is say's. For example, if it says 2y-3 add 3 or 2y+3 subtract 3 from both sides.
Step 2: Add 3 to -5 which would be -2
Step 3: Since you're "multiplying" Y to 2 you're going to divide 2 to get Y by itself. So 2/2 cancels out and now you're left with y
Step 4: Divide 2 form -2 and you get -1
Let me know if you have any questions and I hope this helps