Answer:
Answer:
Length of leg of triangle =
Step-by-step explanation:
We are given a 45°-45°-90° triangle with hypotenuse measuring 18 cm.
Let us assume the following labeling of the diagram, as attached in the answer area.
The two angles here are equal to 45° so two sides of the triangle opposite to the equal angles will also be equal to each other i.e. it is an isosceles triangle.
i.e. The sides XY and YZ will be equal.
Let XY = YZ = x cm
It is known that in a right angled triangle, pythagorean theorem holds well.
As per pythagoream theorem:
Putting the values:
So, the length of leg of triangle =
Step-by-step explanation:
help please please really help me
To do the following I first listed the numbers from least to greatest
mean: (also known as average) is 7 just add all the numbers together and divide by the amount of numbers there are which is 77/11
median: 5 it's the middle number (5, 5, 6)
mode: 2 the number that appears the most
range: 16 difference between the highest value and the lowest (18-2)
quartile 1: 2 median of the lower half
quartile 3: 9 median of the upper half
interquartile range: 7 (Q3-Q1)
hope this helped :)
Use the distance formula to find the distance to the nearest tenth, from R17, -2) to W(-2, 3).
Answer:
17.7
Step-by-step explanation:
I'm assuming you meant R(17, -2) to W(-2, 3). Here the x-coordinate changes by 17 - (-2), or 19, and the y-coordinate by 5. Think of these as the legs of a right triangle. The distance between these points is the length of the hypotenuse of this triangle: d = √(5^2 + 17^2)
or √314, which, to the nearest tenth is 17.7.
if 5cosA =4 wat is CosA
Answer:
4/5
Step-by-step explanation:
5cosA=4
divide both sides by 5
cosA=4/5
PLEASE HELP DUE TODAYY
Answer:
y <= 0
Step-by-step explanation:
it's shaded when the value of y is 0 or below 0 (the vertical axis)
A pet store has 9 puppies, including 2 poodles, 5 terriers, and 2 retrievers. If Rebecka selects one puppy at random, the pet store replaces the puppy with a puppy of the same breed, then Aaron chooses a puppy at random. Find the probability that they both select a poodle.
Probability that both Rebecka and Aaron select poodles is 4/81
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
A pet store has 9 puppies.
includes 2 poodles, 5 terriers, and 2 retrievers.
Rebecka selects one puppy at random.
The probability of selection one pet from store is 1/9
After Rebecka selects one puppy at random pet store replaces the puppy with a puppy of the same breede. Now store has same number of pets.
Aaron chooses a puppy at random.
The probability of Aaron selecting a pet is 1/9.
As they both selects a poodle,
Rebecka : Probability of selection one poodle from store is 2/9
Aaron: Probability of selection one poodle from store is 2/9
The probability that both Rebecka and Aaron select poodles is 2/9 × 2/9 = 4/81
Hence probability that both Rebecka and Aaron select poodles is 4/81
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A regular polygon is a polygon with blank sides and angles
1.) The check number on a check:
A.) identifies the bank and is located at the bottom left corner of the check.
B.) identifies the bank and is located at the top right corner of the check.
C.) identifies the transaction and is located at the bottom left corner of the check.
D.) identifies the transaction and is located at the top right corner of the check.
E.) None of these choices are correct.
Answer:
D) Identifies the transaction and is located at the top right corner of the check
Step-by-step explanation:
The check number on a check is the number located at the top right corner of the check, and it can also be found at the bottom of the check, located in lower right corner after the routing number and the account number
The check number aids in the tracking and identifying bank transactions such as to identify checks that the bank has processed and to know outstanding checks that are yet to be processed.
The check number also aids in balancing of the checkbook.
Therefore, the check number on a check identifies the transactions and is located at the top right corner of the check.
Determine the slope from the given graph below:
Answer:
y = -2x - 3
Step-by-step explanation:
Cuál es el monto producido por S/ 80 000 durante 2 años 6 meses, si la tasa es de 16% anual compuesto trimestralmente? *
Answer:
118419,54
Step-by-step explanation:
Primero, convierta R como porcentaje en r como decimal
r = R / 100
r = 16/100
r = tasa de 0,16 por año,
Luego resuelve la ecuación para A
A = P (1 + r / n) ^ nt
A = Cantidad =?
P = Principal = 80000
R = 16%
n = Compuesto trimestralmente = 4
t = tiempo en años
= 2 años y 6 meses
12 meses = 1 año
6 meses = x
x = 6/12 = 0,5
t = 2.5 años
A = 80000,00 (1 + 0,16 / 4) (4) ^ (2,5)
A = 80000,00 (1 + 0,04)^ (10)
A = $ 118419,54
please helpppppppppp
Answer:
I think it is 2.............
• Use whichever method you prefer (the area model or the distributive property)
Answer: 2a^2+22a+−1
Step-by-step explanation:
Let's simplify step-by-step.
2a^2−5a+(9)(3)a−1
=2a^2+−5a+27a+−1
Combine Like Terms:
=2a^2+−5a+27a+−1
=(2a^2)+(−5a+27a)+(−1)
=2a^2+22a+−1
Jay organised a large wedding and 1/3 of them chose beef 5/12 of them chose Chicken and 69 of them chose vegetarian so how many guest were at the wedding ?
Answer:
276 Guests
Step-by-step explanation:
Calculation to determine how many guest were at the wedding
Guests that choose beef =1/3
Guests that choose chicken= 5/12
Guests that choose vegetarian=69
Now let calculate the how many guest were at the wedding
Let x represent the numbers of guest that were present at the wedding
Hence,
x/3 + 5x/12 + 69 = x
9x/12 + 69 = x
12x/12 - 9x/12 = 69
3x/12 = 69
x/4 = 69
x=69*4
x = 276 guests
Therefore the numbers of guests that were at the wedding is 276
Answer: 276
Step-by-step explanation: Let “x” be the number of guest.
1/3 x +5/12x + 69 = x Simplifying and solving for x … where x = 276
1/3(276) + 5/12(276) + 69 = 276
92 + 115 + 69 = 276
what is the meaning of equations
Step-by-step explanation:
What is an equation? In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value. The most basic and common algebraic equations in math consist of one or more variables.
Find the derivative of
[tex] y = \sqrt[3]{x} [/tex]
at the point where x = 27.
Answer:
[tex]\displaystyle y'(27) = \frac{1}{27}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Exponential Rule [Root Rewrite]: [tex]\displaystyle \sqrt[n]{x} = x^{\frac{1}{n}}[/tex]Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Calculus
Derivatives
Derivative Notation
Basic Power Rule
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Step-by-step explanation:
Step 1: Define
y = ∛x
x = 27
Step 2: Differentiate
[Function] Rewrite [Exponential Rule - Root Rewrite]: [tex]\displaystyle y = x^{\frac{1}{3}}[/tex]Basic Power Rule: [tex]\displaystyle y' = \frac{1}{3}x^{\frac{1}{3} - 1}[/tex]Simplify: [tex]\displaystyle y' = \frac{1}{3}x^{-\frac{2}{3}}[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle y' = \frac{1}{3x^{\frac{2}{3}}}[/tex]Step 3: Solve
Substitute in x [Derivative]: [tex]\displaystyle y'(27) = \frac{1}{3(27)^{\frac{2}{3}}}[/tex]Evaluate exponents: [tex]\displaystyle y'(27) = \frac{1}{3(9)}[/tex]Multiply: [tex]\displaystyle y'(27) = \frac{1}{27}[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Derivatives
Book: College Calculus 10e
Complete the probability distribution table by find the probability of a student being involved in more than one activity.
A: 576/720
B: 144/720
C:100/720
D: 360/720
Answer:
B. 144/720
#Correct Me If I WrongA square has a perimeter of 49 inches. What is the area of the square?
Answer:
150.06 in²Step-by-step explanation:
Hopes this helps. Mark as brainlest plz!Simplify;
(√3 + √2) (√3 + √2)
Answer:
5 + 2√6 or 9.898979
Step-by-step explanation:
(√3 + √2) (√3 + √2)
= 5 + 2√6
decimal = 9.898979
Answer:
I’ll put a picture because I can’t like write down the answer…. So yeah.
Step-by-step explanation:
1) expand expression: (sqrt3 + sqrt2)^2
Then calculate: 3 + 2sqrt6 + 2
Andddd: 5 + 2sqrt6
* sqrt: square root
I hope this helps! Good luck :)
The equation y = (-16t – 2)(t-1) represents the height in feet of a beach ball thrown by a child as a function of time, `t`, in seconds.
from What height is the beach ball thrown? explain or show your reasoning
2 ft
Step-by-step explanation:
The height from which the beach ball was thrown happens when t = 0. So setting t = 0 to get y, we get
y = [-16(0) - 2](0 - 1)
= (-2)(-1)
= 2 ft
Therefore, the ball was thrown from a height of 2 ft.
PLEASE ANSWER PLEASE! I
Answer:
4.45454545455
=4.45
Step-by-step explanation:
so yeah your right just put a bar under 45 like this,,,,
4.45
Determine the exact and approximate circumference of the circle.
Exact: inches?
Approximate: inches?
Answer:
C (circumference) =2×π×r
we've got a 30-60-90 triangle
which means 9=d√3, d=5.19 exact inches
or ≈5.20 inches
d=2r, r=5.20÷2≈2.60 inches
C=2×3.14×2.60≈16.328
Which polynomial represents (3x2 + x - 4)(2x - 5)?
A.6x3 + 13x2 + 3x - 20
B.6x3 - 13x2 - 13x + 20
C.6x3 + 13x2 + 3x + 20
D6x3 - 13x2 - 13x - 20
The required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.
What is a polynomial function?A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.
here,
= (3x² + x - 4)(2x - 5)
= [6x³-13x² - 13z + 20]
Thus, the required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.
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A data set is Normally distributed with a mean of 25 and a standard deviation of 8. If you calculate the standard score of every observation in this data set, the resulting scores will have a distribution that has
Answer:
The answer is "A mean of 0 and a standard deviation of 1".
Step-by-step explanation:
The standard answer of its following formula is calculated by:
[tex]\to z=\frac{X-\mu}{\sigma}[/tex]
Its standard score relates to the sampling distribution with the normal distribution average standard variation of 0 and 1, correspondingly. The mean for a standard scoring is 0, and the normal deviation is 1. that's why the mean=0, standard deviation=1.
if a, b, c, and d represent positive real numbers, what is the inequality when solved for x?
The inequality equation is x ≥ ( by - c - d ) / a
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
by - d ≤ ax + c be equation (1)
On simplifying the equation , we get
Subtracting c on both sides of the equation , we get
by - d - c ≤ ax
And , ax ≥ by - d - c
Divide by a on both sides of the equation , we get
x ≥ ( by - c - d ) / 2
Hence , the inequality is x ≥ ( by - c - d ) / a
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pls help
pls show handwritten work
with full explanation
thank you
and this is factorise
Answer:
This may help you
look it once.
[tex]\huge{ \mathfrak{ \underline{ Answer} \: \: ✓ }}[/tex]
Question 1 :
[tex] \small(a {}^{2} b {}^{2} + 1 + ab - c)(a {}^{2} {b}^{2} + 1 - ab + c)[/tex]
_____________________________
[tex]\small a⁴b⁴ + 1 + a²b² - c² + 2abc[/tex]
[tex]\small( a⁴b⁴+ 1 ) + a²b² - c² + 2abc[/tex]
[tex]\small[ (a²b²)² + 1² ] + a²b² - c² + 2abc [/tex]
[tex]\small(a²b² + 1 + 2a²b² - 2a²b²) + a²b² - c² + 2abc[/tex]
[tex]\small(a²b² + 1)² - 2a²b² + a²b² - c² + 2abc[/tex]
[tex]\small(a²b² + 1)² - a²b² - c² + 2abc[/tex]
[tex]\small(a²b² + 1)² - (a²b² + c² - 2abc)[/tex]
[tex]\small(a²b² + 1)² - (ab - c)²[/tex]
[tex]\small(a²b² + 1 + ab - c) (a²b² + 1 - ab + c)[/tex]
_____________________________
[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]
What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?
Answer:
-0.5
Step-by-step explanation:
(3-2)=1
(-4-1)=-5
1÷(-5)= -0.5
I 1) James ran 1.8 miles, Kyle ran 1 miles, and Frank ran 1.85 miles. Put the boys in order from the
shortest distance run to the longest distance run.
2
6
5
1 2) Write an algebraic expression for the phrase "19 less than x squared."
4
3
2
-2
3) When Michael woke up in the morning, the temperature was - 3. F. Later that day
the temperature was 10' F, so Michael said that the temperature had gone up
7 degrees. Is he correct? Explain why or why not.
--3
Answer:
lkjhgvcghjklm, bvhgyiuoklmnbgjhjk;.m, nb
Step-by-step explanation:
I really DONT know what’s function
Answer:
its basically the relationship between sets of numbers. the anwser is D if the line on the graph is curved it is a function and if the number repeat on the x value it is a function.
-by-step explanation:
Consider the equation:
X^2-6 = 2 – 18x
1) Rewrite the equation by completing the square
2) What are the solutions to the equation?
The equation should be rewritten by completing the square as x² + 18x + (18/2)² = 8 + (18/2)².
The solutions to the equation is x = -9 + √89 or x = -9 - √89.
What is a quadratic equation?In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 6 = 2 - 18x
x² + 18x = 8
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² + 18x + (18/2)² = 8 + (18/2)²
x² + 18x + 81 = 8 + 81
Part 2.
x² + 18x + 81 = 89
x² + 9x + 9x + 81 = 89
x(x + 9) + 9(x + 9) = 89
(x + 9)(x + 9) = 89
x = -9 + √89 or x = -9 - √89.
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what is the measure, in degree, of angle z ?
Answer:
55°
Step-by-step explanation:
if the middle is straight, then x+35°=90°
At a police checkpoint for drunk drivers, some cars are stopped at random; many others are not stopped. The cars that are stopped may be considered a _____ of all the cars that pass by the checkpoint.
Answer:
sample
or spot check
Step-by-step explanation:
there are quite a number of different terms that can be used depending on the specific scientific field you are working in.
but "sample" should be the most common one for a random selection of a subset of the whole set.