Answers
Answer:
x=sqrt(7)
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse
x^2 + ( sqrt(7))^2 = (sqrt(14))^2
x^2+7 = 14
x^2 = 14-7
x^2 = 7
Take the square root of each side
sqrt(x^2) = sqrt(7)
x=sqrt(7)
Related Questions
Marty is 54 years old, and his niece is 6. How many times older is Marty than his niece? Choose the answer that has the correct equation AND the correct solution to the equation.
6x = 54; x = 8 times older
54 + x = 6; x = 48 times older
6x = 54; x = 9 times older
54x = 6; x = 9 times older
Answers
Answer:
6x = 54; x = 9 times older
Step-by-step explanation:
B.match illustrate by using rectangular regions then solve
C.complete each number sentence by writing the missing fraction then use the shaded regions to show the number sentence
WARNING:
I'LL DELETE YOUR ANSWER IF ITS NOT CORRECT
also theres a picture above
(WITH STEP BY STEP EXPLANATION )
Answers
Fractions can be represented by shading parts of a rectangular region
The simplified expressions are:
[tex]\frac 28 + \frac 24 = \frac 34[/tex].[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex].[tex]\frac 46 -\frac{2}{6}=\frac{2}{6}[/tex].[tex]-\frac{2}{12} + \frac 26 = \frac{2}{12}[/tex].[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]Complete number sentenceTo start with, we simplify the fraction expressions as follows:
(1) [tex]\frac 28 + \frac 24 =[/tex]
Take LCM
[tex]\frac 28 + \frac 24 = \frac{2 + 4}8[/tex]
[tex]\frac 28 + \frac 24 = \frac{6}8[/tex]
Simplify
[tex]\frac 28 + \frac 24 = \frac 34[/tex]
(2) [tex]\frac 9{10} - \frac 35 =[/tex]
Take LCM
[tex]\frac 9{10} - \frac 35 =\frac{9 - 6}{10}[/tex]
[tex]\frac 9{10} - \frac 35 =\frac{4}{10}[/tex]
Simplify
[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex]
(3) [tex]\frac 46 - [\ ]=\frac{2}{6}[/tex]
Replace the blank with x
[tex]\frac 46 -x=\frac{2}{6}[/tex]
Collect like terms
[tex]x = \frac 46 -\frac{2}{6}[/tex]
Take LCM
[tex]x = \frac{4 - 2}{6}[/tex]
[tex]x = \frac{2}{6}[/tex]
Simplify
[tex]x = \frac{1}{3}[/tex]
(4) [tex]\frac{}{12} + \frac 26 = \frac{2}{12}[/tex]
Replace the blank with x
[tex]\frac{x}{12} + \frac 26 = \frac{2}{12}[/tex]
Collect like terms
[tex]\frac{x}{12} = \frac{2}{12} -\frac 26[/tex]
Take LCM
[tex]\frac{x}{12} = \frac{2 - 4}{12}[/tex]
[tex]\frac{x}{12} = -\frac{2}{12}[/tex]
Multiply both sides by 12
[tex]x=-2[/tex]
(5) [tex]\frac{9}{18} - \frac{3}{9}[/tex]
Take LCM
[tex]\frac{9}{18} - \frac{3}{9} = \frac{9 - 6}{18}[/tex]
[tex]\frac{9}{18} - \frac{3}{9} = \frac{3}{18}[/tex]
Reduce fraction
[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]
Missing fractionsSo, the simplified expressions that contain the missing fractions are:
[tex]\frac 28 + \frac 24 = \frac 34[/tex].[tex]\frac 9{10} - \frac 35 =\frac{2}{5}[/tex].[tex]\frac 46 -\frac{2}{6}=\frac{2}{6}[/tex].[tex]-\frac{2}{12} + \frac 26 = \frac{2}{12}[/tex].[tex]\frac{9}{18} - \frac{3}{9} = \frac{1}{6}[/tex]Shaded regionsSee attachment for the shaded regions
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A music streaming service conducted a survey asking subscribers where they most often listen to music. Of the 2,500 responses, 1,468 users stated that they most often listen to music while in vehicles.
Use this information to complete the statement. Round all answers to the nearest hundredth.
The approximate sample proportion is ___, which means that ___% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
Answers
Answer:
0.59 and 41%
Step-by-step explanation:
Plato/Edmentum
The approximate sample proportion is o.59, which means that 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
For this situation, the number of positive responses is 1486 out of a total sample size of 2500.
Substitute these values into the formula for sample proportion, where x is the number of positive responses and n is the sample size.
[tex]\hat p = \frac{x}{n}[/tex]
= [tex]\frac{1468}{2500}[/tex]
= 0.59
So, the approximate sample proportion is 0.59.
Since 0.59 represents the proportion who responded favorably, 1-0.59=0.41, represents the proportion which responded unfavorably.
This value of the same as 41%.
So, 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
Therefore, the approximate sample proportion is o.59, which means that 41% of the subscribers surveyed most often listen to music somewhere other than in a vehicle.
Learn more about the sample proportion here:
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A family bought a house for $386,230 and a car for $59,250. Estimate the family's combined expenses by rounding to the nearest thousand first and then add the rounded numbers.
Answers
Answer:
ok first we round them both
386230 is rounded to 386k
59250 is rounded to 59 k
386+59=445
445,000
Hope This Helps!!!
Check all that apply. If csc=13/12 then:
A. sec =12/13
B. COS =12/13
C. tan =12/5
D. sin =12/13
Answers
Answer:
A. sec =12/13×
B. COS =12/13×
C. tan =12/5✓
D. sin =12/13 ✓
Step-by-step explanation:
we know,
using Pythagoras formula,
p=12,h=13 ,b=?
h^2 =p^2 +b^2
b=5
so tan = p/b
=12/5
sin=p/h and cosec= h/p
D. sin =12/13
What number is 22.5% of 40?
Answers
Answer:
9
Step-by-step explanation:
To find this, first you must convert the percentage to a decimal. To do that, you must move the decimal point back two times.
22.5% --- 0.225
Then multiply the decimal by the number.
0.225 * 40 = 9
So, 22.5% of 40 is 9
Answer: Nine
A company manufactures and sells personalized stationery. The weekly fixed cost is $3850 and it cost $3.00 to produce each package of stationery. The selling price is $6.50 per package. How many packages of stationery must be produced and sold each week for the company to generate a profit?
The company will generate a profit if;
more than or equal to
more than
less than or equal to
less than
|blank|packages of stationery are produced and sold each week.
(sorry forgot to add that part in last question, hope this one is better)
Answers
Answer:
more than 1100
Step-by-step explanation:
The contribution margin for each package sold is ...
$6.50 -3.00 = $3.50
The number of packages that must be sold to cover fixed costs is ...
3.50n > 3850
n > 1100 . . . . . . . divide by 3.50
The company will generate a profit if more than 1100 packages are produced and sold each week.
_____
Additional comment
If exactly 1100 packages are sold, then costs are covered, but profit is 0. In order for profit to be positive, more than 1100 packages must be sold.
Can y’all please help me with these questions
Answers
Answer:
13. STR
14. VY
Step-by-step explanation:
I hope this helps!
If x + 2 and x - 3 are factors of the following polynomial, then find the values of a and b. F(x) = x^2 + ax^2- 7x + b
Answers
[tex]\text{Given that,}\\\\f(x) = x^3+ax^2-7x+b \\\\\text{Since}~ (x+2)~ \text{and}~ (x-3)~ \text{are factors of f(x),}\\\\f(-2) = 0 ~ \text{and}~ f(3)=0\\\\\\ \text{Now,}\\\\f(-2)=0\\\\\ \implies (-2)^3+a(-2)^2-7(-2)+b =0\\\\\implies -8 +4a +14+b =0\\\\\implies 4a +b +6 =0~~~....(i)\\\\\\f(3) = 0\\\\\implies 3^3+a(3^2) -7(3) +b =0\\\\\implies 27 +9a -21 +b =0\\\\\implies 9a +b +6 =0~~....(ii)\\\\\\(ii)-(i):\\\\9a+b+6 - 4a-b - 6 = 0\\\\\implies 5a =0\\\\\implies a = 0\\[/tex]
[tex]\text{Substitute a=0 in equation (i):}\\\\4(0) +b +6 =0\\\\\implies b+6 =0\\\\\implies b =-6\\\\\text{Hence, a = 0 and}~ b =-6[/tex]
n is m% of what? please help its hard.
Answers
Answer:" m% = m/100. what = a variable ... "x". for example. "is" means "=". "of" means multiply. n = (m/100)•x.
Step-by-step explanation:
A computer can do 1000 operations in 4.5×10^-6 seconds. How many operations can be done by this computer in one hour?
Answers
Answer:
0.00027.
Step-by-step explanation:
All you have to do is do the scientific notation then multiply by 60.
Hey! I really need help with this question:
Giving out brainiest to best answer and 100 points. <3
Please help.
Question: How do I memorize words faster and better? And- how do I study faster and quicker?
Answers
Answer:
Idea one, if you want to memorize words fast and better, you can put part of it in your password of something and then try to log in to whatever you set the password on everyday. Idea two, if you want to study fast and quicker you need to spend big half of the day learning what you need to learn and reading books.
Hope this helps!
The best way I could explain this is that everyone has there own pace at doing things. Like me I learn very fast but I have to read over something to memorize them.
The only way I could say is that maybe take more notes and go over them everyday. It helped me a lot when I wanted to learn more and get better grades. Also another way is taking you time at first and when you get use to it you'll be able to read faster learn quicker but you have to go slow first to go fast.
which relation is a function? PLEASE HELPPPPP
Answers
Step-by-step explanation:
in the first
x =2y
actually I don't think that I can get the last two relations
The area of a square pond is 1000m2.A path of uniform width is surrounded outside the pond and its area is 369m2.find the outer length of the path
Answers
Answer:
631 m²
Step-by-step explanation:
Outer length of park = Total area - Area of pond
Outer length of park = 1000 - 369
Outer length of park = 631 m²
Answer:
Hope it will help you a lot.
Find sin(a-B), if cosa=1/3, cosB=1/4, a=(0;180), B(-90;0)
Answers
Give me some hint please
A rectangular garden is 24 feet wide. Its length is 4 feet more than twice the width. What is the area of the garden?
Answers
Answer:
1248
Step-by-step explanation:
w = 24feet
L=2w+4feet that means L= 2*24+4 =52
aera is 24*52=1248
For a project in her Geometry class, Makayla uses a mirror on the ground to measure the height of her school building. She walks a distance of 13.75 meters from the school, then places a mirror on flat on the ground, marked with an X at the center. She then steps 1.2 meters to the other side of the mirror, until she can see the top of the school clearly marked in the X. Her partner measures the distance from her eyes to the ground to be 1.35 meters. How tall is the school? Round your answer to the nearest hundredth of a meter.
Answers
Answer: The answer is 19.04 meters.
Explanation: The explanation is in the image.
Nelson and Jamie both want to buy a $250 bicycle.
Nelson has saved $136 and Jamie has saved $142. How much
more money do they each need to save?
Answers
Nelson and Jamie both want to buy a $250 bicycle. Nelson has saved $136 and Jamie has saved $142. How much more money do they each need to save?
Answer:-Given,Price of the bicycle = $250
Money saved by Nelson = $136
Money saved by Jamie = $142
Now,Nelson = $250 - $136 = $114
Jamie = $250 - $142 = $108
Nelson needs to save $114
Jamie needs to save $108
Not sure where to start
Answers
Find the value of x. Round to the nearest degree.
Answers
Problem #15: A box contains 4 black balls, 7 red balls, and 3 green balls. Three balls are
drawn (without replacement). Find the probability that the balls drawn are red, green,
and black in that order.
Answers
The probability that the balls drawn are red, green, and black in that order will be 3/78.
What will the probability be?Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.
The box contains 4 black balls, 7 red balls, and 3 green balls. The total number will be:
= 4 + 7 + 3
= 14 balls.
The probability that the balls drawn are red, green, and black in that order will be:
= P(red) × P(green) × P(black)
= 7/14 × 3/13 × 4/12
= 1/2 × 3/13 × 1/3
= 3/78
The probability is 3/78.
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Help help math math math
Answers
Answer:
400
Step-by-step explanation:
10 movies * 5 drinks * 8 candy = 400 ways different ways to choose
Answer:
400
Step-by-step explanation:
What is the formula for calculating momentum?
Answers
Answer:
(c) p = vm
Step-by-step explanation:
Momentum, represented by 'p', is the product of mass and velocity. It is a vector quantity, just as velocity is a vector quantity.
p = vm
Lucy wants to bake a circular apple pie with a radius of 5 in. What is the minimum circumference of the pie pan?
a
Please be accurate of your answer and explain.
Answers
Answer: 6 in.
Step-by-step explanation:
Which number comes next in the series? 7, 10, 10, 13, 16, 16,
Answers
Answer:
19
Step-by-step explanation:
In the first number, they add three and that number is repeated.
To further explain, the series would continue like this:
7, 10, 10, 13, 16, 16, 19, 22, 22...
Hope this helps! Brainliest would be appreciated!
The area of any rectangular shape is given by the product of its width and length. If the area of a particular
rectangular garden is given by A = 15x°-35x and its width is given by 5x, then find an expression for the
garden's length.
Answers
The expression that can be used to find the
garden's length is l = 5x(x - 7) / 5x where l = (x - 7)
Given:
Area of a rectangle = 15x² - 35x
Width of the rectangle = 5x
Length of the rectangle = l
Area of the rectangle = length × width
15x² - 35x = l * 5x
Factor out the left hand side
5x(x - 7) = l * 5x
Divide both sides by 5x
5x(x - 7) / 5x = l
x - 7 = l
Therefore, the expression that can be used to find the garden's length is l = 5x(x - 7) / 5x
Learn more about area of a rectangle:
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Given -3, -2,0,3,7 .... Find the next term
Answers
Answer:
12
Step-by-step explanation:
After Arianna completed some work, she figured she still had 78.09 pictures to paint. If she completed another 34.23 pictures, how many pictures does Arianna still have to paint? Convert the mixed numbers into decimals before calculating the sum or difference.
Answers
Answer:
43.86
Step-by-step explanation:
that's da awnserrr
subtract 19/12 - 3/4
Answers
[tex] \rm \frac{19}{12} - \frac{3}{4} = \frac{9}{12} - \frac{9}{12} = \frac{9 - 9}{12} = \frac{0}{12} = \bf0 \: \: (done.)[/tex]
Answer:
[tex]\frac{19}{12} - \frac{3}{4}=\frac{5}{6}[/tex]
Step-by-step explanation:
[tex] \frac{19}{12} - \frac{3}{4} [/tex]
[tex] = \frac{19 \times 4}{12 \times 4} - \frac{3 \times 12}{4 \times 12}[/tex]
[tex] = \frac{76}{48} - \frac{36}{48} [/tex]
[tex] = \frac{76 - 36}{48}[/tex]
[tex]= \frac{40}{48} [/tex]
[tex] = \frac{40 \div 8}{48 \div 8} [/tex]
[tex] = \frac{5}{6}[/tex]
A rectangular garden is 24 feet wide. Its length is 5 feet more than twice the width. What is the area of the garden?
Answers
Answer:
1272 feet²
Step-by-step explanation:
Breadth (Width) = 24 feet
Length = (24 × 2) + 5
= 48 + 5
= 53 feet
Area = Length × Breadth
Area = 53 × 24
= 1272 feet²