Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!
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The zeroes of a 3rd degree polynomial are 1 and (5 –
i).
Find the remaining zeroes.
-1
:)
-5 + i
no other zeros
5 + i
5+ i
?
Answer:
5 + i
Step-by-step explanation:
the Fundamental theorem of Algebra states that a polynomial of gegree n has n zeros , some of which may be complex.
A polynomial of degree 3 will therefore have 3 zeros
given x = 1 and 5 - i are two of the zeros
Complex zeros occur as conjugate pairs , then
5 - i is a zero then 5 + 1 is also a zero
the 3 zeros are x = 1 , x = 5 - i and x = 5 + i
Please i need help with this
Jonathan is making his favorite pasta dish. His mom ate 2/7 of the pasta, and his brother ate 1/6 of the pasta. How much did they eat in all?
Answer:
23/42
Step-by-step explanation:
2/7 = 12/42
1/6 = 7/42
12/42 + 7/42 = 19/42
42/42 - 19/42 = 23/42
Need help asap pls ty
I have no idea what to do here I'm really confused? I think my teacher said it was steps 2 and 3 but i dont see the issue
Answer:
Step 2-3
Step-by-step explanation:
I don't know what's wrong with step 2 but in step 3 the student added the exponent instead of multiplying.
That automatically makes every other step done afterwards wrong but it's not 3-4 because the math is right it's just that step 3 messed up step 4 laws of exponent wise.
100 Points!!!! Please help, Will Mark BRAINLIEST!!!!!!
Answer:
Part A: No. Based on the scatter plot, r = 0.01 is not an accurate value for this data, because 0.01 means pratically no corrlation, while the points on the graph are moderately correlatedPart B: you must describe a scenary where a variable is the cause of the number of strawberries picked. See below, the example of rainfall.
Explanation:
1. Part A:
Since the points in the scatter plot show a moderated upward trend, you must expect a correlation coefficient close to ± 0.5. A correlation coefficient of 0.01 is too close to 0, which would mean that the points are almost not correlated at all.
The correlation coefficients, r, measure the strength of the correlation of two variables and they can have values from - 1 to 1.
r = - 1 is a perfect negative correlation: the points will adjust perfectly to a line with negative slope.r = + 1 is a perfect positive correlation: the points will ajdust perfectrly to a line with positive slope.r = 0 means that the variables are not correlated at all.
Hence, the closer to zero, the worse the correlation is, and that is what r = 0.01 means, but the graph shows other thing.
Therefore, the calculated value of r = 0.01 is not accurate for t his scatter plot.
2. Part B.
A causal relationship means that the expllanatory variable (the independent variable) is the cause of the dependent variable.
Hence, you must find a reasonable variable that can be the cause of the number of strawberries picked.
I could imagine the amount of rainfall the week before of harvest.
Thus, the scenario could be:
Amout of rainfall in mm (x) Number of strawberries picked (y)
100 20
50 40
25 80
12.5 160
6.25 320
The amount of rainfall is the cause of the number of strawberries picked, and you could find a model (function) that relates both variables.
PLS HELP
1.
Seats in a theater are curved from the front row to the back. The front row has 18 chairs, the second has 26
and the third has 34, and so on.
a.
Write a recursive rule for this series (2 points):
b. Write an explicit rule in simplified form for this series:
Show the steps to simplify. (2 points)
c. Using the explicit formula, find the number of chairs in row 7 (show work) (3 points):
on Voy bob ochote
bu ma'isto
d. The auditorium can hold 12 rows of chairs. Write a sigma notation for this series, and then use either series
formulas to calculate how many chairs can fit in the auditorium. Show all work. (5 points)
The chairs in the auditorium illustrates an arithmetic sequence
The recursive rule is: an = an-1 + 8; a1 = 26The explicit rule is: an = 18 + 8nThere are 74 seats in the 7th row840 chairs can fit the auditoriumThe recursive ruleFrom the question, we have the following sequence:
Seats: 18, 26, 34
Rewrite as:
26 = 18 + 8
34 = 26 + 8
The above means that:
The number of seats on a row is 8 added to the the number of seats on the previous row.
Hence, the recursive rule is:
an = an-1 + 8; a1 = 26
The explicit ruleIn (a), we have:
a1 = 26 and d = 8
The explicit rule is calculated using:
an = a1 + (n -1) * d
This gives
an = 26 + (n - 1) * 8
Expand
an = 26 - 8 + 8n
Evaluate the difference
an = 18 + 8n
Hence, the explicit rule is:
an = 18 + 8n
The number of seats in the row 7This means that n = 7.
So, we have:
a7 = 18 + 8 * 7 = 74
Hence, there are 74 seats in the 7th row
The sigma notationWe have the maximum number of rows to be 12.
So, the sigma notation would be:
[tex]\sum\limits^{12}_{n=1} {18 + 8n}[/tex]
The total number of seats is:
Sn = n/2(2a + (n -1) * d)
This gives
S12 = 12/2(2 * 26 + (12 -1) * 8)
S12 = 840
Hence, 840 chairs can fit the auditorium
Read more about arithmetic sequence at:
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.that bar of chocolate was divided into squares. i ate 1/12 of it, then headed downstairs. the next day i ate another 1/12 , then another 1/3. i couldn't help myself. what fraction was left?
Answer:
1/2 of the bar is left
Step-by-step explanation:
1/12 x2= 2/12
2/12+ 1/3=2/12+4/12
6/12=1/2
gary and heather each make potatoes using different recipes the table shows how much potatoes and cheese each person uses.
Answer:
What is the question? Also, your answer looks a bit wrong 1 think t should be 1 oz
Step-by-step explanation:
For every 15 oz potatoes, Garry uses 0.5 oz less cheese than Heather. So Heather's cheesy potatoes have more cheese.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
For Gary's recipe of cheesy potatoes has 15oz of potatoes and 4oz of cheese.
Ratio of potatoes to cheese in Gary's recipe = 15/4
Heather's recipe of cheesy potatoes has 10 oz of potatoes and 3 oz of cheese.
Ratio of potatoes to cheese in Heather's recipe = 10/3
Multiplying with 1.5 in numerator and denominator
Ratio of potatoes to cheese in Heather's recipe = 15/4.5
Thus, for every 15 oz potatoes heather uses 4.5 oz of cheese.
Hence, In Heather's recipe amount of cheese is 0.5 oz more than Garry's recipe per 15 oz. of potatoes.
Learn more about ratio here:
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Clare asks Andre to play the following number puzzle:
Pick a number
Add 2
Multiply by 3
Subtract 7
Add your original number
Andre’s final result is 27.
Which number did he start with?
Answer:
The answer is 7.
Step-by-step explanation:
7 + 2 is 9.
9 x 3 =27
27 - 7 =20.
Since the original number is 7 then we add 7 to 20.
7 + 20 = 27.
So, the number he started with is 7.
why is math so much work their are like so many steps you need to remember and it's just to much on my brain.
Answer:
ik my head be harding so much
Step-by-step explanation:
like take it out
who can answer this help me bro/sis?
Answer: 144 degrees, 136 degrees
Question 1:
The first x should be 144 because a straight line should equal 180, so you just subtract the (left angle or 36 degrees) with 180 to get the opposite angle.
Question 2:
For the second x, add the 2 interior angles and subtract it by 180 or the total sum of the interior angles.
49 + 87 = 136
180 - 136 = 44
Then follow the same steps in the first question.
180 - 44 = 136
Charles begins finding the volume of a trapezoidal prism using the formula a = one-half(b1 b2)h to find the prism's base area. a = ((x 4) (x 2))x a = (2x 6)x a = (x 3)x a = x2 3x a trapezoidal prism is shown. the bases of the trapezoid have lengths of x 2 and x 4. the height of the trapezoid is x. the height of the prism is 2 x. which expression can be used to represent the volume of the trapezoidal prism? 2x3 6x2 x3 6x2 x3 3x2 2x3 3x2
The volume of the trapezoidal prism having side lengths x, (x+2), (x+4) and height of 2x is 2x³+6x² option first is correct.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the volume of the trapezoidal prism can be given:
[tex]\rm V=\frac{1}{2} (a+b)\times h \times L[/tex]
Where V = The volume of the trapezoidal prism:
Length of the trapezoid L = x
Top width a = (x+2)
Base width b = (x+4)
Height of the trapezoidal prism h = 2x
[tex]\rm V=\frac{1}{2} (x+2+x+4)\times 2x \times x[/tex]
[tex]\rm V=\frac{1}{2} (2x+6)2x^2\\\\\rm V= (2x+6)x^2\\\\\rm V= (2x^3+6x^2)[/tex]
Thus, the volume of the trapezoidal prism is [tex]\rm (2x^3+6x^2)[/tex]
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Answer:
A.
Step-by-step explanation:
right on edge
Simplify. (In the problems where you combine fractions with unlike denominators leave the denominators in factored form.)
Answer:
[tex] \dfrac{a}{a - 4} [/tex]
Step-by-step explanation:
You are subtracting fractions, so as usual with fraction subtraction, you need a common denominator. To get a common denominator, you need to factor each denominator.
[tex] \dfrac{3a}{a + 4} - \dfrac{2a^2 - 16a}{a^2 - 16} = [/tex]
Factor the right denominator. It is a difference of two squares.
[tex] = \dfrac{3a}{a + 4} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} [/tex]
The left denominator is (a + 4). The right denominator is (a - 4)(a + 4). The LCD is (a - 4)(a + 4), so multiply the left fraction by (a - 4)/(a - 4).
[tex] = \dfrac{3a}{a + 4} \times \dfrac{a - 4}{a - 4} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} [/tex]
[tex] = \dfrac{3a^2 - 12a}{(a - 4)(a + 4)} - \dfrac{2a^2 - 16a}{(a - 4)(a + 4)} [/tex]
Be careful when you do the subtraction of the numerators, 3a² - 12a minus 2a² - 16a. 3a² - 12a - (2a² - 16a). The minus of the subtraction changes each sign inside the parentheses, so you end up with 3a² - 12a - 2a² + 16a. Be especially careful with the +16a.
[tex] = \dfrac{3a^2 - 12a - (2a^2 - 16a)}{(a - 4)(a + 4)} [/tex]
[tex] = \dfrac{3a^2 - 12a - 2a^2 + 16a}{(a - 4)(a + 4)} [/tex]
[tex] = \dfrac{a^2 + 4a}{(a - 4)(a + 4)} [/tex]
[tex] = \dfrac{a(a + 4)}{(a - 4)(a + 4)} [/tex]
[tex] = \dfrac{a}{a - 4} [/tex]
What's the value f x?
[tex]5x-6=3x-8[/tex]
Answer:
-1Step-by-step explanation:
Given equation,
⇒ 5x - 6 = 3x - 8
Subtracting 3x from both sides :
⇒ 5x – 6 – 3x = 3x – 8 – 3x
⇒ 2x – 6 = – 8
Adding 6 to both sides we get :
⇒ 2x – 6 + 6 = – 8 + 6
⇒ 2x = – 2
Dividing both sides by 2 we get :
⇒ 2x/2 = – 2/2
⇒ x = – 1
Therefore,
The value of x is -1Answer:
[tex]\sf \boxed{\bold{x=-1}}[/tex]
Solving Stepwise:
[tex]\dashrightarrow \sf 5x-6=3x-8[/tex]
add 6 on both sides
[tex]\dashrightarrow \sf 5x-6+6=3x-8+6[/tex]
simplify
[tex]\dashrightarrow \sf 5x=3x-2[/tex]
subtract both sides by 3x
[tex]\dashrightarrow \sf 5x-3x=3x-2-3x[/tex]
simplify
[tex]\dashrightarrow \sf 2x=-2[/tex]
divide both sides by 2
[tex]\dashrightarrow \sf \dfrac{2x}{2} =\dfrac{-2}{2}[/tex]
simplify
[tex]\dashrightarrow \sf x =-1[/tex]
Check for the answer:
insert x = -1
[tex]\hookrightarrow \sf 5(-1)-6=3(-1)-8[/tex]
[tex]\hookrightarrow \sf -5-6=-3-8[/tex]
[tex]\hookrightarrow \sf -11=-11[/tex]
L.H.S = R.H.S. Hence the statement x = -1 is correct.What is the value of 1500 divided by (6 squared + 43) x 37
Rewrite : [tex]1500 : (6^{2} +43)[/tex] x 37
Simplify : [tex]1500 : 79[/tex] x 37 = 702.531646...
Round to :
- Nearest whole number : 703
- 1 d.p : 702.5
- 2 d.p : 702.53
- 3 d.p : 702.532
The value of the expression when 1500 divided by (6 squared + 43) x 37 using simplification is 702.531647.
A collection of constants, variables connected using one or more arithmetic operator is called an expression.
The way of writing the complex mathematical problems into simpler forms using certain way is called simplification.
Simplification is solved using BODMAS rule.
The expression 1500 divided by (6 squared + 43) x 37 can be written in mathematical form as:
[tex]\dfrac {1500}{((6)^2 + 43)} \times37[/tex]
This can be simplified as,
[tex]\dfrac {1500}{(36 + 43)} \times37[/tex]
[tex]\dfrac {1500}{79} \times37[/tex]
On further solving, it results to 702.531647.
The value of the given expression is 702.531647.
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Evaluate. 3 x 2/3 x 1/8
Answer:
[tex] \frac{3}{8} \div \frac{2}{3} - \frac{1}{8} [/tex]
Step-by-step explanation:
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Dylan has a loyalty card good for a 20% discount at his local pharmacy. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $30.70? Round to the nearest cent.
Answer:
$6.14.
Step-by-step explanation:
$30.70×20%
there will be after the tax and discount.
write 2.786 as a fraction in common form
What’s the domain and range?
Answer:
D [-1,3] and R [5,27]
Step-by-step explanation:
I explained the process of finding the domain and range in your previous questions therefore I will only give you the answer for this one.
D [-1,3] or [tex]-1\leq x\leq 3[/tex]
R [5,27] or [tex]5\leq y\leq 27[/tex]
Alexei wants to hang a mirror in his boat and put a frame around it. the mirror and frame must have an area of 19.25 square feet. the mirror is 3 feet wide and 5 feet long. which quadratic equation can be used to determine the thickness of the frame, x? 2x2 8x − 19.25 = 0 3x2 5x − 19.25 = 0 4x2 16x − 4.25 = 0 4x2 16x 15 = 0
The quadratic equation that can be used to determine the thickness of the frame will be B. 3x² + 5x - 19.25 = 0
What is a quadratic equation?It should be noted that a quadratic equation simply means an algebraic expression of the second degree in x.
In this case, the quadratic equation that can be used to determine the thickness of the frame will be 3x² + 5x - 19.25 = 0
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Answer:
The answer is C. 4x2 + 16x - 4.25 = 0.
Step-by-step explanation:
Put the same number in each box to make the
calculation correct.
140 + 10 - ___ = _____ - 30
Answer:
The number would be 90
Step-by-step explanation:
140 + 10 - 90 = 60
90 - 30 = 60
60 = 60
Answer: 90
Step-by-step explanation:
Let's use x as a placeholder to the number we are trying to find
[tex]140+10-x=x-30[/tex]
Now we need to isolate x
Step 1) Simplify both sides
[tex]140+10-x=x-30\\150-x=x-30[/tex]
Step 2) Add 30 to both sides
[tex]150-x+30=x-30+30\\180-x=x[/tex]
Step 3) Add x to both sides
[tex]180-x+x=x+x\\180=2x[/tex]
Step 4) Divide both sides by 2
[tex]\frac{180}{2}=\frac{2x}{2} \\90=x[/tex]
Step 5) Sub our value into the original equation and solve
[tex]140+10-x=x-30\\140+10-90=90-30\\150-90=60\\60=60[/tex]
Find the slope of the line that
passes through (4, 7) and (2, 10).
Simplify your answer and write it
as a proper fraction, improper
fraction, or integer.
Find the surface area of the ball
shown. Use 3.14 for a.
Radius is 16 cm
Ball is sphere
r=16cmSurfAce area:-
4πr^24π(16)^24π(256)1024πcm^23215.36cm^2Answer:
Formula
Surface area of a sphere:
[tex]\sf SA=4\pi r^2[/tex] (where r is the radius)
Given information
[tex]\pi[/tex] = 3.14
r = 16
Final solution
Substitute given values into the equation and solve:
[tex]\sf \implies SA=4 \cdot 3.14 \cdot 16^2[/tex]
[tex]\sf =3215.36 \ cm^2[/tex]
For circle h, jn = 3, nk = x, ln = 2, and nm = 6. solve for x. circle h with chords jk and lm intersecting at n inside the circle 9 1 5 4
The circle is an illustration of intersecting chords.
The value of x is 4
How to determine the value of x?The given parameters are:
Chords: jk and lmPoint of intersection = njn = 3, nk = x, ln = 2, and nm = 6This means that:
jn * nk = ln * nm
So, we have:
3 * x = 2 * 6
Divide both sides by 3
x = 2 * 2
Evaluate the product
x = 4
Hence, the value of x is 4
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1. Consider the pyramid.
(a) Draw and label a net for the pyramid.
(b) Determine the surface area of the pyramid. Show your work.
Answer: 224
Step-by-step explanation:
on the white boards
Answer:
i did it
Step-by-step explanation:
Find the least common denominator of 1/5 and 3/10?
Answer:
20 would be the lowest that both 10 and 5 could go into, and that would make the fractions 4/20 and 6/20.
Answer:
10
Step-by-step explanation:
We need to find the lowest common multiple of teh 2 denominator:
So first let's write the first few multiples of 5:
5,10,15,20,25
Now let's write the first few multiples of 10:
10,20,30,40,50
Since 10 is the first number that appears in both lists this is our answer
find variables x, y, and z
Answer:
Step-by-step explanation:
Find n if 103n+26n=131n
Answer:
0
Step-by-step explanation:
•103n+26n = 131n
Combine 103 n and 26 n to get 129n
•129n=131n
Substract 131n from both sides
•129n-131n=0
Combine 129n and -131n to get 2n
•-2n=0
Product of two numbers is equal to 0 if atleast one of them is 0. Since -2 is not equal to 0, n must be 0.
•n=0