(Pythagorean theorem) find the missing side length. Round to the nearest hundredth (show steps)
Answers
Answer:
The length of the missing side is 7.5
Step-by-step explanation:
let the missing side be x
[tex] {9.9}^{2} = {6.5}^{2} + {x}^{2} [/tex]
98.01 = 42.25 + x^2
x^2 = 98.01 - 42.25
x^2 = 55.76
[tex] \sqrt{x {}^{2} } = \sqrt{55.76} [/tex]
x = 7.5 or 7.47
Related Questions
ACCURATE ANSWER=BRAINLIST
The first four terms of a sequence are shown.
7, 25, 43, 61, ...
Which of the following expressions can be used to find the nth term of the sequence?
Question 3 options:
7+18n
18+7n
18+7(n−1)
7+18(n−1)
Answers
Answer:
7+18n
might be the answer sorry if I am wrong
I plugged in the fourth term for n, and only that expression gave the correct answer of 61
hi please help me with part b and can you see if i did a correctly pls?
Answers
a is right its 58
and in my opinion i think b would be 58*5=290 cents, since nickel is worth 5 cents.
but gotta check other people's answers
Finding slope from tables and
Answers
Answer:
m=-5/2 b=2
Step-by-step explanation:
It goes over 2 times ever time it goes down 5 times. and when the y is 0 the x is 2
Guided Practice
Type your answer and then click or tap Done.
Use the ^ symbol (Shift+6 on the keyboard) to signify an exponent. For example, for 2 to the third power, enter 2^3.
Identify the quadratic term in the function.
f(x)=2x^2−3x+5
Answers
Answer:
2x^2
Step-by-step explanation:
Q:
identify the quadratic term in the function f(x)=2x^2-3x+5
A:
The quadratic term is 2x^2.
Answer:
2x2-3x-5=0
Step-by-step explanation:
(2x2 - 3x) - 5 = 0
Answer:
The quadratic term in the function is
Step-by-step explanation:
Given : Function
To find : Identify the quadratic term in the function ?
Solution :
The quadratic form of the function is
Where, is quadratic term.
On comparing with given function,
is the quadratic term.
Therefore, the quadratic term in the function is
please help with statistic 20
Answers
Part A
p = 0.32 = probability of someone voting by internet
n = 13 = sample size
x = 10 = number of people who voted by internet
Apply the binomial probability formula.
[tex]P(x) = (_n C _x)*(p)^{x}*(1-p)^{n-x}\\\\P(10) = (_{13} C _{10})*(0.32)^{10}*(1-0.32)^{13-10}\\\\P(10) = (286)*(0.32)^{10}*(0.68)^{3}\\\\P(10) \approx 0.0010124942242\\\\P(10) \approx \textbf{0.00101}\\\\[/tex]
Note: the [tex]_n C_x[/tex] refers to the combination formula.
Answer: 0.00101=============================================================
Part B
We could apply the binomial theorem for the following values of x: {10,11,12,13}. Then would add up the results.
However, such a task is fairly tedious and it's more efficient to use computer software (or a graphing calculator). Also, there's the element of limited time that you'll need to consider. I showed the steps for part A above because your teacher may have wanted you to list them. Usually it's better to rely on software for that task as well. At the very least, it's useful to have software to check your answer.
Whichever method you use, you should find the following:
P(10) = 0.00101P(11) = 0.00013P(12) = 0.00001P(13) = 0The last value isn't exactly 0, but it's so small that it's effectively zero. This is because we only have 5 decimal places to work with.
Add up those four values to get:
[tex]P(x \ge 10) = P(10)+P(11)+P(12)+P(13)\\\\P(x \ge 10) \approx 0.00101+0.00013+0.00001+0\\\\P(x \ge 10) \approx 0.00115\\\\[/tex]
A faster shortcut is to use your calculator's binomCDF function.
This result of 0.00115 is fairly small. The usual distinction we make between whether a probability is small or not is to set up some kind of threshold. This threshold is known as the significance level. By default, it's set to 0.05 unless your teacher specifies otherwise. Another common significance level is 0.01, but it's usually mentioned.
Since 0.00115 is smaller than 0.05, and even 0.01, we consider the probability of getting 10 or more internet voters to be a significant event. It's fairly unusual to get 10 or more people voting by internet in this sample of n = 13 people.
Answer: Choice A) Yes, because the probability of 10 or more is 0.00115, which is low.=============================================================
Part C
Like with part B, we could find the binomial probability values for x = {1,2,3,...,11,12,13}. We could add up the values like I did, or use the binomCDF function which is faster.
Another approach is to use the complement of the event "at least 1". If x is some number in the set {0,1,2,..,12,13}, then either [tex]x = 0[/tex] or [tex]x \ge 1[/tex]
From this, we can say
[tex]P(x=0) + P(x \ge 1) = 1\\\\P(x \ge 1) = 1-P(x=0)\\\\P(x \ge 1) \approx 1-0.00665\\\\P(x \ge 1) \approx 0.99335\\\\[/tex]
This then rounds to 0.993
Answer: 0.993express the function graphed on the axes below as piecewise function
for x<-4
for x>2
Answers
Answer:
<--------o o------------->
-4 2
Step-by-step explanation:
Because the sign in the inequalities is only greater than/ less than (not equal to), we know that there is an open dot on x=-4 and on x=2.
From there, we shade the area on the graph that is true to the function. So, we can test points.
First we will test x=-5
-5<-4 --> this is true, so we will shade to the left of x=-4
Now test x=0
0<-4 --> this is false
0>2 --> this is also false, so the area between the two open dots will not be shaded
Now test x=3
3>2 --> this is true, so we will shade to the right of x=3
what is the correct Answer?!
Answers
Answer:
B
Step-by-step explanation:
2⁶
2³
2⁶
2³
then add the ⁶+³+⁶+³ =18
2¹⁸
Em uma avaliação que vale até 5 pontos, João tirou 4,2 pontos. Quanto João teria tirado caso a prova valesse 10 pontos?
Answers
Answer:
8.4 pontos
Step-by-step explanation:
4.2/5
multiplique o numerador e o denominador por 2
8.4/10
YES I WILL BE GIVING A BRANLIST
Which function has the greater rate of change? What is that value?
Answers
Answer:
To find the rate of change you use the formula, Y2-Y1/X2-X1.
Function A:
You can substitute in any two points. The points I will use are (0,0) and (1,1).
1-0/1-0
1/1
1
The rate of change for Function A is 1.
Function B:
The points I will use are (2,1) and (4,2).
2-1/4-2
1/2
The rate of change for Function B is 1/2.
Since 1 is larger than 1/2, Function A has a larger rate of change. The value is 1.
Hope this helps! :)
HELP!!! IM CONFUSED
Answers
Answer:
2/3Step-by-step explanation:
If we want to find the slope, the most easiest way to find the slope is to use 'Rise/Run'. Two points are given, lets use those points and find the slope.
=> We see that the rise is 2. So 2 will be our numerator,
=> We can also see that the run is 3. So 3 will be our denominator.
What do we get?
We get 2/3 as our slope. Therefore, B is our answer. Hoped I helped.
given g(x)=-2x+1 solve for x when g (x)=5
Answers
Answer:
x = -2
Step-by-step explanation:
g(x) = 5
-2x + 1 = 5
-2x = 5 - 1
-2x = 4
x = 4/-2
x = -2
_________
[tex]\:[/tex]
g(x) = 5
5 = -2x + 1
5 - 1 = -2x
4 = -2x
x = -2
A store owner has 65.5 pounds of candy. If he splits the candy equally into 5 boxes, how many pounds of candy will each box contain?
Answers
Answer: Each box of candy would contain 13.1 pounds of candy.
Step-by-step explanation:
Divide 65.5 by 5. Hope this helps!
.Learning Task 2: Get the quotient of each item up to the nearest ten thousandths place. Then, round the decimals to their nearest thousandths. Number 1 is done for you.
1.45÷8= 5.6250 -5.625------- example
4.93÷9 = _____ - ______
2. 77÷9 = _____ - ______
5.88 ÷7= _____ - ______
3.81÷7= _____ - ______
6.55÷8=_____ - ______
sorry if the numbers is a bit confusing
Answers
The responses for the quotient given to the nearest thousandths are
presented in the order of the of the questions as follows;
[tex]Question \ 4) \ \displaystyle \underline{\frac{93}{9} = 10.3333 \approx 10.333}}[/tex]
[tex]Question \ 2) \ \displaystyle \underline{\frac{77}{9} = 8.5555 \approx 8.556}[/tex]
[tex]Question \ 5) \ \displaystyle \underline{\frac{88}{7} = 12.4285 \approx 12.429}[/tex]
[tex]Question \ 3) \ \displaystyle \underline{\frac{81}{7} = 11.5714\approx 11.571}[/tex]
[tex]Question \ 6) \ \displaystyle \underline{\frac{55}{8} = 6.8750\approx 6.875}[/tex]
Reasons:
4. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{93}{9}}= \frac{90 + 3}{9} = 10 + \frac{1}{3} = 10.\overline 3[/tex]
Given that we have;
[tex]\displaystyle \frac{1}{3} = 0.\frac{10}{3} =0.3 \frac{10}{3} = 0.3333[/tex]
Therefore;
[tex]\displaystyle \underline{\frac{93}{9} = 10.3333 \approx 10.333}[/tex]
2. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{77}{9}} = \frac{72 + 5}{9} = 8 + \frac{5}{9} = 8. \frac{50}{9} = 8.5\frac{50}{9} = 8.55\frac{50}{9} = 8.555\frac{50}{9} = 8.5555[/tex]
Therefore;
[tex]\displaystyle \underline{\frac{77}{9} = 8.5555 \approx 8.556}[/tex]
5. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{88}{7}} = \frac{85 + 3}{7} = 12 + \frac{3}{7} = 12. \frac{30}{7} = 12.4\frac{20}{7} = 12.42\frac{60}{7} = 12.428\frac{40}{7} = 12.4285\frac{5}{7}[/tex]
[tex]\displaystyle \underline{\frac{88}{7} = 12.4285 \approx 12.429}[/tex]
3. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{81}{7}} = \frac{77 + 4}{7} = 11 + \frac{4}{7} = 11. \frac{40}{7} = 11.5\frac{5}{7} = 11.57\frac{10}{7} = 11.571\frac{30}{7} = 11.5714\frac{20}{7}[/tex]
Therefore;
[tex]\displaystyle \underline{\frac{81}{7} = 11.5714\approx 11.571}[/tex]
6. The division is presented as follows;
[tex]\displaystyle \mathbf{\frac{55}{8}} = \frac{48 + 7}{8} = 6 + \frac{7}{8} = 6. \frac{70}{8} = 6.8\frac{60}{8} = 6.87\frac{40}{8} = 6.875\frac{0}{8} =6.8750[/tex]
Therefore;
[tex]\displaystyle \underline{\frac{55}{8} = 6.8750\approx 6.875}[/tex]
Learn more here:
https://brainly.com/question/17913153
can anyone please help me asap? thanks in advance.
1. In three minutes Alex typed 120 words. At this rate, how long would it take him to type a 4800 word assignment?
2. The ratio of the length to the width of the Canadian flag is 2:1. What is the width of a 50 cm long Canadian flag?
3. A bulk nut mixture is priced at $1.14 per 100 grams. How much is 600g of this mixture?
please show ur work for each.
Answers
Answer:
1. 2 hours
2. 25cm
3. 6.84
Step-by-step explanation:
120÷3=40
4800÷40=120 so 2 hours
for the second one just divide 50 in half
for 3 just do $1.14×6
Answer:
1. 120 min
2. 25 cm
3. $6.84
Step-by-step explanation:
1. 120 words : 3min
multiply each side by 40 because 120 words times 4 is 4800 words
4800 words : 120min
2. 2 : 1 = length : width
multiply each side by 25 because 2 times 25 is 50 cm
50 cm : 25 cm
3. $1.14 : 100 grams
multiply each side by 6 because 100 grams times 6 is 600 grams
$6.84 : 600 grams
what is the solution to the system of equations
Answers
Write the equation of the following parabolae in their canonical form and hence find their vertices, foci and directrix.
1.
[tex] {y}^{2} - 6y - 2x + 19 = 0[/tex]
2.
[tex] {x}^{2} + 4x + 4y + 16 = 0[/tex]
Answers
Given:
y² - 6y - 2x + 19 = 0This is a horizontal parabola.
Canonical form of horizontal parabola is:
4a(x - h) = (y - k)², where (h, k) is vertexFocus is:
F(h + a, k)Directrix is:
x = h - aConvert the equation:
y² - 6y - 2x + 19 = 0y² - 6y + 9 - 2x + 10 = 0(y - 3)² = 2x - 10(y - 3)² = 4(1/2)(x - 5)We got:
h = 5, k = 3, a = 1/2Focus is:
F(5 + 1/2, 3) = F(5.5, 3)Directrix is:
x = 5 - 1/2 = 4.5#2Given:
x² +4x + 4y + 16 = 0This is a vertical parabola.
Canonical form of vertical parabola is:
4a(y - k) = (x - h)², where (h, k) is vertexFocus is:
(h, k + a)Directrix is:
y = k - aConvert the equation:
x² + 4x + 4y + 16 = 0x² +4x + 4 + 4y + 12 = 0(x + 2)² = -4y - 12(x + 2)² = 4(-1) (y + 3)We got:
h = - 2, k = -3, a = - 1Focus is:
F(-2, -3 - 1) = F(-2, - 4)Directrix is:
y = -3 - (-1) = - 2If A(2, 3) and B(-4, -6), find AB.--
Answers
[tex] \huge \bf༆ Answer ༄[/tex]
The distance between points can be solved using Distance formula (similar to Pythagoras theorem)
[tex] \boxed { \sf D = \sqrt{(x2 - x1) {}^{2} + {(y2 - y1) {}^{2} } }}[/tex]
Put the values : -
[tex] \sf D = \sqrt{ (2 - ( - 4)) {}^{2} + (3 - ( - 6)) {}^{2} } [/tex][tex] \sf \: D = \sqrt{ {(6)}^{2} + (9) {}^{2} } [/tex][tex] \sf D = \sqrt{36 + 81} [/tex][tex] \sf D = \sqrt{117} [/tex][tex] \sf D = 3 \sqrt{13} [/tex]Distance between the points = 3√13 units
[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
Answer:
If you are trying to find the line, simply use a graph.
Step-by-step explanation:
Jessica and her brother collects stamps. When Jessica gives her brother 1% of her stamps, she has 2,475 stamps left. Calculate how many stamps Jessica had originally.
Answers
Answer:
2500
Step-by-step explanation:
2475 stamps is 99% of her original number of stamps.
SO,
[tex]2475 \div 99\% = 2500[/tex]
She originally had 2500 stamps
HELP DUE IN 1 MINUTE 5x^3 + 20x^2-160x
Answers
A) (2x-10)(3x+1)
B) (3x+2)(2x-5)
C) (2x+5)(3×+1)
D) (2x+1)(3×+5)
E) None of the above. The quadratic f(x) = 6x] + 11X - 10
would have which of the following
factors?
Answers
Answer:
B
Step-by-step explanation:
(3x+2)(2x-5)
Brainliest?
please help me with this math problem
Answers
Step-by-step explanation:
the group of x friends is SPLITTING the cost of $50. Therefore to find the amount each person pays after the split, you will divide 50 by the amount fo friends (x). Each person is also paying an extra $5 for dessert. Therefore, you will be adding that 5 to everyone's total after splitting.
So the equation you will get is
[tex]a(x) = \frac{50}{x} + 5[/tex]
Answer:
A(x)= (50/x)+5
Step-by-step explanation:
50 bucks divided by the number of people in the group which is X and each must also pay 5 bucks for dessert.
Which function has the graph shown below? *
a. f(x) = x² - 4
b. f(x) = x² + 4
c. f(x) = (x + 4)²
d. f(x) = (x - 4)² opps dont forget to change the sign
Answers
Answer:
C
Step-by-step explanation:
yeah-ya......... right?
Sully built a shelf 8 5/8 inches wide for his DVD collection. If each DVD is 3/8 inches
wide, how many can he fit on the new shelf?
Answers
Answer:
23
Step-by-step explanation:
8 5/8 = 69/8
Each DVD is 3/8 inches
Ignore the denominators
We have 69 and 3
69 is 23 times bigger than 3, so 23 DVD's can fit
What number is furthest from 0 on a number line? 16 or 18?
Answers
3x-8=3(1x-3)-2
whats the answer to that problem
Answers
Answer:
-3
Step-by-step explanation:
......................
Mason gave the waiter a $14.58 tip, which was 15 percent of the dinner bill. What was the amount of the dinner bill before he added the tip?
$9.72
$21.87
$97.20
$218.70
Answers
Answer:
$97.20
Step-by-step explanation:
97.20 x 0.15 = 14.58
Multiply the total by 15 percent, giving you the $14.58 tip, proving it to be correct.
What is the next term in the sequence 58, 47, 36, 25,. ? –58 –8 14 69.
Answers
Answer:
14
Step-by-step explanation:
58, 47, 36, 25,. ?
Each term is 11 less than the preceding term
the term after 25 will be
25 - 11 = 14
A line that passes trough the point (7,3) with slope of -1 ( answer plesse I need help )
Answers
Answer:
Slope-Intercept Form:
The equation of a line in slope-intercept form is y=mx+b. Since we know that the slope is -1, the equation so far is y=-x+b. To find the value of b, substitute in the given point.
3=-7+b
Add 7 to both sides.
10=b
The equation of the line is slope intercept form is y=-x-10.
Point-Slope Form:
The equation of a line in point-slope form is y-y1=m(x-x1). Substituting in the given point and slope, the equation is y-3=-(x-7).
Hope this helps! :)
Answer:
y= -x + 10
Step-by-step explanation:
3 = -1(7) + b
3 = -7 + b
10 = b
Since the slope is -1, that means it's just -x
So y = -x + 10
plz help i give brainliest and points
Answers
Answer:
Step-by-step explanation:
To find this, lets make a equation.
We have the expression 8b - 27, lets set this equal to -11 and solve:
8b -27 = -11
Now lets solve.
Lets add 27 to both sides to get 8b alone:
8b = 16
Now lets divide by 8:
b = 2
So our answer is 2.
Hope this helps!
Simplify.
x2+2x−3/
x−4/
2x2+5x−3/
x^2−16
x2−x−12/2x−3
x2−5x−4/2x−1
x2+3x−4/2x−1
x2+x−12/2x−3
Answers
Answer:
x^2 + 7x- 3/x - 3/x^2 -16
Step-by-step explanation:
Key: ( ^ ) means exponent
= x^2 + 2x- 3/x -2x^2 + 5x- 3/x^2 -16
= x^2 - 2x^2 + 2x+5x - 3/x- 3/x^2 -16
= x^2 - 2x^2 = -x^2
= -x^2 + 2x + 5x- 3/x- 3/x^2-16
As you see you add 2x and the 5x and got 7x
= Answer : x^2 + 7x- 3/x - 3/x^2 -16
Answer:
I think the answer is x^2+3x-4/2x-1
