Answers
Answer:
C
Step-by-step explanation:
using Pythagoras' identity in the right triangle
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides , that is
x² = 40² + 9² = 1600 + 81 = 1681 ( take square root of both sides )
x = [tex]\sqrt{1681}[/tex] = 41
Related Questions
A toy giraffe was made using
a scale factor of 1:8. If the toy
giraffe is 2 feet long, how many
feet long is the real giraffe?
Answers
The toy is 2 feet, so we multiply that by 8, and 2x8 = 16.
The real giraffe is 16 feet long.
100 points!!!! university data if a student is selected at random, what is the probability that the student receives aid and is a graduate?
Answers
Answer:
17.5%
Step-by-step explanation:
1879/10730=17.5%
Answer:
18%
Step-by-step explanation:
Locate the "receives aid" column and "graduate" row. The value 1879 is in this row and column combo.
There are 10730 students total as shown in the bottom right hand corner.
Roughly 1879/10730 = 0.1751 = 17.51% of the students are graduates who receive aid. This rounds to 18%
A regular pentagon and a regular hexagon are both inscribed in the circle below. Which shape has a bigger area? Explain your reasoning. 4
Answers
Answer:
Pentagon
Step-by-step explanation:
Because as you can see, a regular pentagon is bigger than then the hexagon. If it's both in the circle below, the pentagon will most likely have an big advantage in this.
what is the value of x
Answers
The value of x in the triangle is 20
How to determine the value of x?From the triangle, we have the following equivalent ratios:
5x+ 10 : 121 = 10 : 11
Express as fraction
5x + 10/121 = 10/11
Multiply both sides by 121
5x + 10 = 110
Subtract 10 from both sides
5x = 100
Divide both sides by 5
x = 20
Hence, the value of x in the triangle is 20
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√x-1=4
I need the answer for this question
Answers
Answer:
25
Step-by-step explanation:
First we add 1 to both sides :
√x = 5
Now we square both sides :
x = 5²
x = 25
To check this answer we substitute our answer back into the original equation:
√25 - 1 = 4
5 - 1 = 4
4 = 4
✅
Hope this helped and brainliest please
Given the pattern rule Tn=n2-1
what are the first 3 terms of the pattern
Answers
Answer:
0, 3 , 8
Step-by-step explanation:
substitute n = 1, 2, 3 into the pattern rule
T₁ = 1² - 1 = 1 - 1 = 0
T₂ = 2² - 1 = 4 - 1 = 3
T₃ = 3² - 1 = 9 - 1 = 8
How do I solve and find x?
Answers
Answer:
x=60
Step-by-step explanation:
First get x all alone on 1 side of the equation. Add 14.5 to both sides of the equation to cancel out the negative. You will then be left with
x/5= 12
Multiply both sides of the equation by 5 to cancel out the division and you'll get x=60
Jamaal bounces on a trampoline. His height, as a function of time, is modeled by = -16x^2+20x+4.
Which statement best describes the function?
Answers
Answer:
B. The function is nonlinear.
Step-by-step explanation:
A linear function graphs as a straight line. It is a polynomial function of degree 1. Any function that is not a linear function is a nonlinear function.
__
degreeThe function given is a polynomial function of degree 2. (Its highest-degree term is x^2, which has an exponent of 2.)
categorizationSince the degree is not 1, the function is nonlinear.
_____
Additional comment
A polynomial function will never be "linear at some points and nonlinear at other points." Such a description might apply to a piecewise-defined function.
Prove that an integer consisting of 3n ones is divisible by 3n (e.g. 111 is divisible by 3, 111,111,111 is divisible by 9, etc.) Prove it by induction. Notice, that while the number with a sum of digits divisible by 3 is itself a multiple of 3 and the number with a sum of digits divisible by 9 is itself a multiple of 9, it is NOT true that the number with a sum of digits divisible by 27 is necessarily a multiple of 27.
Answers
For proof of 3 divisibility, abc is a divisible by 3 if the sum of abc (a + b + c) is a multiple of 3.
Integers divisible by 3The proof for divisibility of 3 implies that an integer is divisible by 3 if the sum of the digits is a multiple of 3.
Proof for the divisibility111 = 1 + 1 + 1 = 3 (the sum is multiple of 3 = 3 x 1) (111/3 = 37)
222 = 2 + 2 + 2 = 6 (the sum is multiple of 3 = 3 x 2) (222/3 = 74)
213 = 2 + 1 + 3 = 6 ( (the sum is multiple of 3 = 3 x 2) (213/3 = 71)
27 = 2 + 7 = 9 (the sum is multiple of 3 = 3 x 3) (27/3 = 9)
Thus, abc is a divisible by 3 if the sum of abc (a + b + c) is a multiple of 3.
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The graph shows the functions f(x), p(x), and g(x): 6.98 Ax) 1 p(x) 8(xx) US -9.06 10.94 -6.35 Courtesy of Texas Instruments Part A: What is the solution to the pair of equations represented by p(x) and f(x)? (3 points) Part B: Write any two solutions for f(x). (3 points) Part C: What is the solution to the equation p(x) = g(x)? Justify your answer.
Answers
Answer:
See the attached graph.
Step-by-step explanation:
1,8,27; 64; Rule Missing numbers
Answers
Answer:
rule: f(n) = n³
missing numbers: 125, 216, 343, 512, 729
Step-by-step explanation:
Your familiarity with the cubes of small integers helps you recognize each of these numbers is a cube. Their sequence is the sequence of cubes of increasing natural numbers.
1 = 1·1·1 = 1³
8 = 2·2·2 = 2³
27 = 3·3·3 = 3³
64 = 4·4·4 = 4³
__
The rule is ...
f(n) = n³
The cubes of 5 through 9 will complete the set of numbers ...
1, 8, 27, 64, 125, 216, 343, 512, 729
Enlarge the triangle by scale factor of -1/3
Please help me on this question I will mark you as the brainiest
Answers
The attached image represents the triangle after it has been enlarged
How to enlarge the triangle?The given parameters are:
Scale factor, k = -1/3Center, (a,b) = (-1,2)From the graph, the coordinates of the triangle are:
A = (-4,2)
B = (-4,-4)
C = (-1,-4)
The rule of dilation is calculated using:
[tex](x,y) \to (k(x - a) + a, k(y - b) + b)[/tex]
So, we have:
[tex]A' = (-\frac 13(-4 +1) - 1, -\frac 13(2 - 2) + 2)[/tex]
A' = (0, 2)
[tex]B' = (-\frac 13(-4 +1) - 1, -\frac 13(-4 - 2) + 2)[/tex]
B' = (0, 4)
[tex]C' = (-\frac 13(-1 +1) - 1, -\frac 13(-4 - 2) + 2)[/tex]
C' = (-1, 4)
See attachment for the image of the triangle, after it has been enlarged
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Which expression is equivalent to 18x^2√14x^8 / 6√7x^4, if x ≠ 0?
Answers
The equivalent expression of [tex]18x^2\sqrt{14x^8} \div 6\sqrt{7x^4}[/tex] is [tex]3x^4\sqrt{2}[/tex]
How to determine the equivalent expression?The expression is given as:
[tex]18x^2\sqrt{14x^8} \div 6\sqrt{7x^4}[/tex]
Start by dividing 18 by 6
[tex]3x^2\sqrt{14x^8} \div \sqrt{7x^4}[/tex]
Next, divide 14 by 7
[tex]3x^2\sqrt{2x^8} \div \sqrt{x^4}[/tex]
Take the square root of x^8 and x^4
[tex]3x^2 * x^4\sqrt{2} \div x^2[/tex]
Divide x^2 by x^2
[tex]3* x^4\sqrt{2}[/tex]
Evaluate
[tex]3x^4\sqrt{2}[/tex]
Hence, the equivalent expression of [tex]18x^2\sqrt{14x^8} \div 6\sqrt{7x^4}[/tex] is [tex]3x^4\sqrt{2}[/tex]
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Answer: B or 3x^4 sqrt 2
explanation: only simplified answer above
The two tables show the number of copies of albums x, y, and z sold in outlets a, b, c, and d of a company. which outlet sold the greatest number of copies of album x in july and august?
Answers
Outlet A sold the greatest number of copies of album x in July and August
How to determine the outlet?The tables of values are given as:
July
Album X Album Y Album Z
Outlet A 14 8 6
Outlet B 7 13 4
Outlet C 2 11 1
August
Album X Album Y Album Z
Outlet A 12 14 10
Outlet B 5 12 8
Outlet C 16 12 7
In July, the total sales of album x are:
Outlet A = 14
Outlet B = 7
Outlet C = 2
In August, the total sales of album x are:
Outlet A = 12
Outlet B = 5
Outlet C = 16
Add both sales
A = 14 + 12 = 26
B = 7 + 5 = 12
C = 2 + 16 = 18
26 (in outlet A) is greater than 12 and 18
Hence, outlet A sold the greatest number of copies of album x in July and August
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Answer:
Outlet D
Step-by-step explanation:
they sold 28 of album x
outlet a only sold 26
[tex]\sqrt{29-12\sqrt{5}[/tex] simplify this
Answers
[tex] \sqrt{29 \: - \: 12 \sqrt{5} } [/tex]
Factor the indicated expression:[tex] \sqrt{(3 \: - \: 2 \sqrt{5}) ^{2} } [/tex]
Simplified the index the root and also the exponent using the number 2.[tex] \boxed{ \bold{2 \sqrt{5} \: - \: 3}}[/tex]
MissSpanish[tex]\large\displaystyle\text{$\begin{gathered}\sf \sqrt{29-12\sqrt{5}} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf =\sqrt{20-12\sqrt{5}+9} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf =\sqrt{4\cdot \:5-12\sqrt{5}+9} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf =\sqrt{\left(\sqrt{4}\right)^2\left(\sqrt{5}\right)^2-12\sqrt{5}+\left(\sqrt{9}\right)^2} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \sqrt{4}=2 \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \sqrt{9}=3 \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf 2\cdot2\cdot3\sqrt{5}=12\sqrt{5} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf =\sqrt{2^2\left(\sqrt{5}\right)^2-2\cdot \:2\cdot \:3\sqrt{5}+3^2} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf Apply\:the\:formula\:from\:binomial\:to\:square:(a-b)^2=a^2-2ab+b^2 \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf 2^{2}(\sqrt{5})^{2}-2\cdot2\cdot3\sqrt{5}+3^{2}=(2\sqrt{5}-3)^{2} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf =\sqrt{\left(2\sqrt{5}-3\right)^2} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf Apply \ the \ laws \ of \ exponents:\sqrt[n]{a^{2} }=a \end{gathered}$}[/tex]
[tex]\sqrt{(2\sqrt{5}-3)^{2} } =2\sqrt{5 }-3.[/tex]
[tex]\red{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \red{=2\sqrt{5}-3 } \end{gathered}$}}} \ \ \red{\Rightarrow} \ \ \bf{\red{Answer}}[/tex]
↓
[tex]\red{\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{\red{MyHeritage}} \end{gathered}$}}}}[/tex]
If f(x )= 3/x-3, what is (fof)(x)?
Answers
Answer:
the second option is correct.
Step-by-step explanation:
that is the solution above.
evaluate q-r if q= -14 and r=-6
Answers
Answer:
- 8
Step-by-step explanation:
substitute q = - 14 and r = - 6 into the expression
q - r
= - 14 - (- 6)
= - 14 + 6
= - 8
Step-by-Step Explanation:
=> q - r, where q = -14 and r = -6
Therefore,
= q - r
= -14 - (-6)
= -14 + 6
= -8
A standard die is rolled and a month
of the year is chosen at random.
What is the probability of rolling a
number that is at least
then
choosing a month that does not
begin with the letter M?
200
Answers
Answer:
The probability is [tex]\frac{5}{9}[/tex]
Step-by-step explanation:
First we will find the probability of having a roll that is at least 3
1 2 3 4 5 6
this means there is a [tex]\frac{4}{6}[/tex] chance we will roll at least 3
Next we will find which months of the year are applicable
January February March April May June July August September October November December
This means there is a [tex]\frac{5}{6}[/tex] chance we will pick a month that does not begin with the letter M.
Now we can multiply these chances together to see what the total probability is.
[tex]\frac{4}{6} * \frac{5}{6} = \frac{20}{36} \rightarrow \boxed{\frac{5}{9}}[/tex]
That is the answer
- Kan Academy Advance
Wich inequality represents the phrase “a number b is atleast 16”?
Answers
Answer: B
Explanation: Key word: Atleast. This shows that you can still get 16 but it's the lowest you can get. Meaning, if you were to say, atleast get a 16% done. It'll mean that getting 16% is good but also, you'll want to get a higher number of course.
If x is a positive integer, for how many different values of x is the square root of 48/x a whole number?
Answers
The number of values x for which the square root of 48/x a whole number are two.
What is the number?The square root of a number can be described as number that when multiplied with itself yields the number.
The first step is to determine the factors of 48. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
The factors of 48 that will yield a perfect square when divided by 48: 3 and 12.
48 divided by 3 would give a value of 16.
48 divided by 12 would give a value of 4.
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10 out of 15
Which is the equation of the line passing through (0, 8) and (4, 0)?
Answers
Answer:
y=-2x+8
Step-by-step explanation:
We want an equation of the form y=mx + b, where m is the slope and b is the value of y when x=0.
The slope of a line through the two given points:
(4,0) and (0,8)
Rise = (8-0) = 8
Run = (0-4) = -4
Slope = 8/-4 = -2
The y-intercept is given by the point (0,8), which tells us that b=8.
The equation is y = -2x + 8
Answer:
Which is the equation of the line passing through (0, 8) and (4, 0)?
The one that you are on is correct
y = -2x + 8Step-by-step explanation:
You're welcome.
Help please i need this
Answers
Answer:
i can't see the question i would love to help though
Step-by-step explanation:
a 4 1/2 inch candle burns down in 9 hours. after how many hours will it have burned 4 1/4 inches? use the drop down menu to state your answer as a decimal, mixed number, or improper fraction.
Answers
The number of hours it will take to burn 4 1/4 inches of candle is 8.5 hours in decimal.
How to solve fractions?Using ratio to solve, find the ratio of candle length to the time taken to burn down
let
x = time taken by 4 1/4 inches candle4 1/2 : 9 = 4 1/4 : x
9/2 ÷ 9 = 17/4 ÷ x
9/2 × 1/9 = 17/4 × 1/x
1/2 = 17/4x
cross product1 × 4x = 2 × 17
4x = 34
x = 34/4
x = 8.5 hours
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For what value of x is the rational expression below undefined?
1-x
——
x+1
Answers
Answer:
x = - 1
Step by step explanation:
The rational expression will be undefined if the denominator is zero.
x+1 = 0
x = -1
Hence, for x = -1, the given expression will be undefined.
3b - c +5 if c= - 4, b=2.
Answers
Answer:
15
Step-by-step explanation:
To find the answer, plug the values of each variable into the equation and simplify. It may be easiest to plug one variable in at a time, simplify, then plug the next variable in. Remember, if the equation is asking you to subtract a negative number, the negatives cancel and you want to add the numbers.
b = 2 c = -4
3b - c + 5 <----- Original expression
3(2) - c + 5 <----- Plug 2 in for "b"
6 - c + 5 <----- Multiply 3 and 2
11 - c <----- Add 6 and 5
11 - (-4) <----- Plug -4 in for "c"
15 <----- Add 11 and 4
A radioactive isotope has a rate of decay of 84%. that is, every day,
84% of the isotope remains. how many days is its half-life? round to
the nearest tenth.
Answers
The half life of the radioactive isotope to the nearest tenth is 0.83 days.
What is rate of radioactive decay?The rate of radioactive decay is the rate at which a radioactive isotope is disintegrated. The half life is the time taken for half of the original amount of radioactive isotope to remain.
Given that;
t/12 = 0.693/k
Where;
t1/2 - half life
k =decay constant
t/12 = 0.693/0.84
t/12 = 0.83 days
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Type the correct answer in the box. Use numerals instead of words.
What is the length of the diagonal shown in the rectangular prism? Round your answer to the nearest tenth.
Answers
The length of the diagonal shown in the rectangular prism is; 9.5 ft
How to Use Pythagoras Theorem?First of all, we have to find the length of the diagonal base to get;
x = √(4² + 7²)
x = √65
Thus;
Length of the diagonal shown = √(5² + (√65)²)
Length of the diagonal shown = √90
Length of diagonal shown = 9.4868
Length of diagonal shown ≈ 9.5 ft
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Answer:
got 100% on Plato
Step-by-step explanation:
If c = 64-d, what is the value of C when D = -1/6
Answers
The equation c = 64 - d is a linear equation, and the value of c in the equation is 64 1/6
How to solve the equation?The equation is given as:
c = 64 - d
The value of d is given as:
d = -1/6
Substitute -1/6 for d in c = 64 - d
c = 64 - -1/6
Evaluate the difference
c = 64 1/6
Hence, the value of c in the equation is 64 1/6
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Hi can anybody answer this please !
Answers
Answer:
7ft; 8 minutes
Step-by-step explanation:
a. to find the height the person boarded at, plug in t=0 since this is right when the person got on the Ferris wheel. we then get:
h(0) = -45 * cos ((pi/4)*0) + 52 = 7 ft
b. to find the period, we have pi/4 * t = 2*pi, solve for t to get t=8
The difference between two numbers is 17 and twice the smaller of these is 26. What are the numbers?
Does anyone know the answer?
Answers
Answer:
13 and 30
Step-by-step explanation:
the smaller of the two numbers is 13.
If there is a 17 number difference, then that means that the second number is 30.
give brainliest, please!
hope this helps :)