Answers
a²+b²=c²
(2.7)²+b²=(6.5)²
7.29+b²=42.25
b²=34.96
b=√34.96
b=5.91
Related Questions
A school spent $900 on new desk for the start of the year. that amount included a 6% sales tax . what was the original price of the desk. before tax
Answers
900 * 0.06 = 54
900 - 54 = 846
The original price of the desk before the tax was $846.00.
The missing number in the arithmetic sequence 60,51 blank , 33 is
Answers
60 - 9 = 51
51 - 9 = 42
42 - 9 = 33
The number is 42.
Hope this helps =)
51-9=42
42-9=33
MISSING NUMBER IS 42
Which equation is in slope-intercept form and represents a line with slope 3 through the point (9, –4)?
y=3x+21
y=3x-31
-3x+y=-31
-3x+y=21
Answers
[tex]y = mx + q[/tex]
Where m is the slope and y is the y-intercept:
[tex]y = 3x + q[/tex]
To find q (y-intercept), substitute the coordinates of the point (9, -4) in the equation of the line and solve it as an equation:
-4=3(9)+q
-4=27+q
q=-27-4=-31
The equation of the line is: y=3x-31
The equation in slope-intercept form representing a line with a slope of 3 and passing through the point (9, -4) is y = 3x - 31. This is found by substituting the point coordinates into the slope-intercept equation and solving for the y-intercept.
The question involves finding an equation in slope-intercept form that represents a line with a given slope that passes through a specific point. Slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept. Given the slope of 3 and the point (9,
–4), we can find the correct equation by substituting into the slope-intercept form and solving for b.
The correct equation must satisfy the condition that when x is 9, y is –4. Let's use this condition to solve for b:
y = mx + b
–4 = 3(9) + b
–4 = 27 + b
b = –4 - 27
b = –31
Therefore, the equation of the line is y = 3x – 31. This is the only equation among the choices that is in slope-intercept form and satisfies the given conditions.
Long division
3x+1/6x^6+5x^5+2x^4-9x^3+7x^2-10x+2
Answers
We divide first number from first parenthesis with first number from second parenthesis. Then the resulting number we multiply by all numbers in second parenthesis and substract from first parenthesis.
[tex]6 x^{6}/3x = 2 x^{5} \\ \\ 6 x^{6}+5x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2 - 6 x^{6} -2 x^{5} = 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2\\ [/tex]
We repeat previous steps until we run out of numbers:
[tex]3x^{5}/3x=x^{4} \\ \\ 3x^{5}+2x^{4}-9x^{3}+7x^{2}-10x+2-3x^{5}-x^{4}= \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2 \\ \\ \\ x^{4}/3x= \frac{1}{3} x^{3} \\ \\ x^{4}-9x^{3}+7x^{2}-10x+2-x^{4}- \frac{1}{3} x^{3}= \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2 \\ \\ \\ - \frac{28}{3} x^{3}/3x= - \frac{28}{9} x^{2} \\ \\ - \frac{28}{3} x^{3}+7x^{2}-10x+2+ \frac{28}{3} x^{3}+ \frac{28}{9} x^{2} = \\ \\ \frac{91}{9} x^{2}-10x+2 [/tex]
[tex]\frac{91}{9} x^{2}/3x=\frac{91}{27} x \\ \\ \frac{91}{9} x^{2}-10x+2-\frac{91}{9} x^{2}-\frac{91}{27} x= \\ \\ -\frac{361}{27} x+2 \\ \\ \\ -\frac{361}{27} x/3x=-\frac{361}{81} \\ \\ -\frac{361}{27} x+2+\frac{361}{27}x+\frac{361}{27}= \\ \\ \frac{415}{27}[/tex]
We are left with a number that has no x inside. This is remainder.
The final solution is sum of all these solutions and remainder:
[tex](2 x^{5}+x^{4}+\frac{1}{3} x^{3} - \frac{28}{9} x^{2} +\frac{91}{27} x)+(-\frac{361}{81} )[/tex]
Find the coordinates of the midpoint of the segment whose endpoints are H(5, 13) and K(7, 5). (12, 18)
Answers
[tex]\text{The formula of the midpoint of segment AB:}\\\\\left(\dfrac{x_A+x_B}{2};\ \dfrac{y_A+y_B}{2}\right).\\\\\text{We have the points}\ H(5,\ 13)\ \text{and}\ K(7,\ 5).\ \text{Substitute:}\\\\x=\dfrac{5+7}{2}=\dfrac{12}{2}=6\\\\y=\dfrac{13+5}{2}=\dfrac{18}{2}=9\\\\Answer:\ \boxed{(6,\ 9)}[/tex]
5. given no other restrictions, what are the domain and range of the following funtction? f(x)=x^2-2x+2 if your in connexus and have done the algebra 2 final could you give me the awnsers
Answers
You flip 2 coins.what is the probability that one coin will land on heads and one coin will land on tails?createa sample space of outcomes.
Answers
2/4=1/2=50%
There is only 4 different ways it would be resulted:
T= Tails
H = heads
H H, T H, H T or T T
Only T H and H T out of the 4 is valid, therefore 1/2 chance.
"which answer is not a theorem or postulate used to prove triangles' similarity?"
Answers
1) AA - If two angles are congruent to the other 2 angles in a triangle, then the triangles must be similar.
2) SSS - If all the sides are in the same proportion, then the triangles must be similar.
3) SAS - If an angle between two proportional side is congruent to the angle in the other triangle, then the triangles must be similar.
in simple words it is SSA
If you pick a gumball at random, put it back, and then pick another gumball at random, what is the probability of picking a blue gumball then picking a yellow gumball?
Answers
It depends on how many colors of gumballs there are and how many gumballs there are in total. With those, we can set the fraction to each gumball color.
Hope this helps!
Answer:
its 1/50
Step-by-step explanation:
Can someone help me with this please ?
Answers
Second question: A - 6
Helpppppp. I’ll give brainlist
Answers
We find the zero for:
x = -3
The quadratic equation of factored form is:
p (x) = (x + 3) * (x + 3)
Question 16:
We find the zero for:
x = -2
x = 3
The quadratic equation of factored form is:
p (x) = - (x + 2) * (x-3)
Question 17:
We find the zero for:
x = -2
x = 0.5
The quadratic equation of factored form is:
p (x) = (x + 2) * (2x-1)
Convert this identity to one using sine term(s) only.
1-2cos(r)^2
Answers
sin²+cos²=1
Then cos²=1-sin²
Substitute:
1-2cos²
1-2(1-sin²)
1-2+2sin²
2sin²-1
A square lawn has area 512 ft squared .ft. a sprinkler placed at the center of the lawn sprays water in a circular pattern that just covers the lawn. what is the radius of the circle?
Answers
Answer:
Radius of circle = 16 ft
Step-by-step explanation:
Refer figure for the arrangement.
Area of square = 512 ft²
Side of square [tex]=\sqrt{512}=22.63ft[/tex]
From figure see that
Diagonal of square = Diameter of circle
[tex]\texttt{Diameter of circle}=\sqrt{22.63^2+22.63^2}=32ft[/tex]
Radius of circle [tex]=\frac{32}{2}=16ft[/tex]
The solution to system of inequalities is often an infinite set of points? TRUE OR FALSE :
The solution to a system of inequalities can be represented on a graph by shading the region on the graph? TRUE OR FALSE :
When you graph multiple inequalities on the same graph, the region is where the shading overlaps are the solution region? TRUE OR FALSE :
If the inequality is in the slope-intercept form it is easy to shade the solution region. For example, if it is y< ….. Will the shading be below the line? TRUE OR FALSE :
Answers
true
true (poor wording)
?? A question is not true or false. A statement is true or false. The answer to the question is, "yes."
Answer:
all of them are true
helppppppppppppppppppppppppp
Answers
If the polynomial x^5 − 10^5 can be split as the product of the polynomials x − 10 and a, what is a?
a) x^4 - 99,990
b) x^4+10x^3+100x^2+1000x -10,000
c) x^4+10x^3+100x^2+1,000x+10,000
d)x^4+10x^3+100x^2+1000x + 10000/x-10
e)x^4 - 99990/x-10
please help !,
Answers
You have 10 cups of a cleaning solution that is 10% white vinegar and 90% water. You want the mixture to be 50% white vinegar and 50% water. How many cups of white vinegar do you need to add to the mixture?
Answers
x-->volume of white vinegar you need to add to the mixture (measured in cups)
then
the amount of the pure vinegar in the mixture will be -----> (10*0.1 + x) cups
the volume of liquid will be ---------> 10 + x
the concentration equation is-------> [(10*0.1 + x)/(10+x)]=0.50multiply both sides by (10+x) and then simplify
(10*0.1 + x)=(10+x)*0.50-----------> 1+x=5+0.50x-------> 0.50x=4
x=8
the answer is
you need to add 8 of a cup of the pure vinegar to the mixture
To change a mixture that is 10% vinegar and 90% water to a 50-50 mixture, one would have to add 8 more cups of vinegar. This is because there are already 9 cups of water in the 10 cup solution, so adding 8 more cups of vinegar will total to 9 cups of vinegar and 9 cups of water.
Explanation:This question can be tackled using a simple mathematical approach. You already have a mixture that is 10% vinegar and 90% water, which means you have 1 cup of vinegar in your 10 cups of solution (because 10% of 10 cups is 1 cup). To get a 50-50 mixture, you also need the amount of water to equal the amount of vinegar. Since you already have 9 cups of water in the solution, you need to add 8 more cups of vinegar to balance it out and get a 50% solution. So you'll need to add 8 cups of white vinegar to your mixture in order to attain a balance of 50% vinegar and 50% water.
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guys this Question is about system of equation word problem
please assist me !
Answers
.. f - s = 200 . . . . . . . . the first is 200 lb heavier than the second
.. s = (1/3)f . . . . . . . . . . the second was 1/3 the weight of the first
In augmented matrix form, the equations can be written
.. f - s = 200
.. f - 3s = 0
The solution is
.. f = 300
.. s = 100
Their total weight is 400 lb, not enough to kill Mr. Boddy. The physics-loving professor is apparently innocent.
1.Write and exponent . (-4)(-4)
is it -4^2 i am so bad at this and i cannot wrap my head around it , can someone show me how to do it,
Answers
A portion of a city map is shown in the figure at the right. If you walk along Maple Street between 2nd Street and Elm Grove Lane, how far do you walk? Round your answer to the nearest tenth of a yard.
Answers
The length is 259.4 yd.
We have to find the length of AC.
using sin rule,
we have
[tex]\frac{c }{Sin C} = \frac{b}{sinB}[/tex]
[tex]\frac{210}{sin 54} = \frac{b}{sin 88}[/tex]
[tex]b =\frac{210 sin 88}{sin 54}[/tex]
[tex]b = 259. 4161\\b = 259.4[/tex]
The length is 259.4 yd.
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Question
Help me with this question please
Answers
We have consecutive odd numbers for the sides of a triangle, perimeter 201. We could write an equation, but clearly the middle side is 201/3 = 67, so the other two sides are 65 and 69.
This is almost an equilateral triangle, angles around 60 degrees, so not obtuse, meaning one angle over 90 degrees.
Scalene means the sides are all different lengths; we didn't even have to solve the problem to know this is true.
Smallest side 61, false.
Largest side 69, true.
This last one doesn't make much sense to me. What's a unit here? Dilation of 1/3 means all the linear measures become 1/3 as big, including the perimeter. It would decrease much more than 3 inches, since it would go from 201 inches to 67 inches. If I have to answer I'd go with false.
PLEASE HELP!!! i have no idea what i’m doing!!! your help would be GREATLY appreciated!!!
Answers
I need help making a linear equation for this scenario?
"You have relatives living in the United Kingdom and in France. Suppose that you have purchased a prepaid phone card with a value of $75. Calls to the United Kingdom cost 23 cents per minute, while calls to France cost 21 cents per minute."
"Write a linear equation in two variables to represent the number of minutes you can use to call those two locations.",
Answers
Evaluate x divided by 80 for x = 8/9. The choices are
A.71 1/9
B.1/9
C.9/640
D.90
@bohotness @chosenmatt @KamiBug @answermyquestions
I think the answer is either B or D,
Answers
The expression x divided by 80 for x = 8/9 is equal to 1/90.
Option D is the correct answer.
We have,
To evaluate x divided by 80 for x = 8/9, we substitute the value of x into the expression and perform the division:
(x) / 80 = (8/9) / 80
To divide fractions, we multiply the numerator by the reciprocal of the denominator:
(8/9) / 80 = (8/9) x (1/80)
Next, we simplify the multiplication:
(8/9) x (1/80) = 8 / (9 x 80) = 8 / 720
Simplifying the fraction further:
8 / 720 = 1 / 90
Therefore,
x divided by 80 for x = 8/9 is equal to 1/90.
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Frankie kept track of the total number of goals scored during the season by his soccer team. Frankie's graph shows that after two games his team had scored a total of 5 goals. After three games the team had scored a total of 6 goals. After which game had the team scored a total of 14 goals? A. 4 B. 6 C. 8 D. 9
Answers
The answer is D. i just took the test!
Examine the system of equations.
−3x + y = 4
−9x + 5y = −1
What is the solution?
( _ , _ )
Answers
The value of x is -3.5 and y is 6.5 for the given equations.
What is an equation?An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The equations will be solved as:-
−3x + y = 4
−9x + 5y = −1
Multiply the first equation by 3 and subtract the second equation.
−15x + 5y = 20
9x - 5y = -1
--------------------
-6x = 21
x = -3.5
Put x = -3.5 into first equation.
(-3x3.5) + y = 4
y = 6.5
Hence, the values are -3.5 and 6.5.
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Mickey is 40 years old and has his retirement savings in a 401(k). If he makes $55,000 annually, what is the maximum percentage of his income that he can contribute to his 401(k) plan per year? (The current maximum contribution limit is $16,500.)
Answers
Answer:
30%.
Step-by-step explanation:
We have been given that Mickey makes $55,000 annually and the current maximum contribution limit to 401(k) plan is $16,500. We are asked to find the maximum percentage Mickey can contribute of his 401(k) plan.
To find the maximum contribution percentage, we need to figure out $16,500 is what percent of $55,000.
[tex]\text{The maximum contribution percentage}=\frac{\$16,500}{\$55,000}\times 100[/tex]
[tex]\text{The maximum contribution percentage}=0.30\times 100[/tex]
[tex]\text{The maximum contribution percentage}=30\%[/tex]
Therefore, Mickey can contribute 30% of his annual income to his 401(k) plan at maximum.
An expression is shown below:
3x3y + 15xy − 9x2y − 45y
Part A: Rewrite the expression so that the GCF is factored completely. Show the steps of your work. (4 points)
Part B: Rewrite the expression completely factored. Show the steps of your work.
Answers
3x^3y+15xy-9x^2y-45y
=3x^3y+3*5x*y-3*3x^2*y-3*15y
factoring 3y we get:
3y(x^3+5x-3x^2-15)
B]
Factoring the expression we get:
3x^3y+15xy-9x^2y-45y
=3xy(x^2+5)-9y(x^2+5)
=(3xy-9y)(x^2+5)
Could anyone assist me here?
The table shows ordered pairs for a polynomial function, f.
x f(x)f(x)
−2−2 30
−1−1 0
0 −2−2
1 0
2 30
3 160
4 510
What is the degree of f?,
Answers
_____
f(x) = 2(x^4 -1)
Answer:
The degree of the polynomial function will be 4.
Step-by-step explanation:
The table shows the ordered pairs for a polynomial function, f.
[tex]x[/tex] -2 -1 0 1 2 3 4
[tex]f(x)[/tex] 30 0 -2 0 30 160 510
Now, to get the degree of the polynomial, it is required to get the difference of the value of function. When the value of the function becomes equal, then the number of step or difference will be its degree.
So, the first difference of the function will be,
[tex]0-30=-30\\ -2-0=-2\\0-(-2)=2\\30-0=30\\160-30=130\\510-160=350[/tex]
Now, the second difference of the function will be,
[tex]-2-(-30)=28\\2-(-2)=4\\30-2=28\\130-30=100\\350-120=220[/tex]
Now, the third difference of the function will be,
[tex]4-28=-24\\28-4=24\\100-28=72\\220-100=120[/tex]
Now, the fourth difference of the function will be,
[tex]24-(-24)=48\\72-24=48\\120-72=48[/tex]
So, the fourth difference of the function is equal and hence, the degree of the polynomial function will be 4.
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write the number 0.5 in the form a/b using integers to show it is a rational number
A.5/11
B.5/10
C.5/100
D.2/1
Answers
5/10
Selection B is appropriate.
Answer:
The correct option is B.
Step-by-step explanation:
The given number is 0.5.
If a number can be defined as a/b where b≠0, then it is called a rational number.
We need to rewrite the given number in the form of a/b using integers.
Multiply and divide the given number by 10 to remove the decimal from the given number.
[tex]0.5\times \frac{10}{10}[/tex]
On simplification we get
[tex]\frac{0.5\times 10}{10}[/tex]
[tex]\frac{5}{10}[/tex]
Here a=5 and b=10 both are integers.
The given number 0.5 is a ration number because it can be written as 5/10.
Therefore the correct option is B.