Find the length of the unknown side in the right triangle.
Answer:
here
let ABC is triangle
SO
If each quadrilateral below is a square, find the missing measures. the square STUV, TU=15 Find VU= SU= TV= SW=
Answer:
VU = 15, SU = 21.21 or 15[tex]\sqrt{2}[/tex], TV = 21.21 or 15[tex]\sqrt{2}[/tex], and SW = 10.6 or [tex]\frac{15\sqrt{2} }{2}[/tex].
Step-by-step explanation:
VU = 15 by the properties of a square.
To find SU and TV we need to use the rule: the diagonal for a square of side length s is: (√2)s
Then the diagonals for our square are: TV = SU = (√2)*15 = 21.2
SW is just the diagonal divided by 2, so SW = 10.6
The other answers are in radical form, but you can put either the number or radical version.
Please help!!
See picture for details!
sin(A) =
cos(A) =
tan(A)=
sec(A)
csc(A) =
cot(A) =
Answer:
Step-by-step explanation:
In the diagram there are two vertex A & B
Let us assume the 3rd vertex to be C
AB is the hypotenuse which is 8
AC is the adjacent side which is 6
CB is the opposite side. Let us assume it to be x for now
[tex]hypotenuse^{2} = opposite^{2} +adjacent^{2}[/tex]
[tex]8^{2} =x^{2}+6^{2} \\64=x^{2} +36\\x^{2} =64-36=28\\x=2 \sqrt{7}[/tex]
sinA=CB/AB = 2[tex]\sqrt{7[/tex] /8
CosA=AC/AB=6/8
TanA=sinA/CosA=CB/AC=2[tex]\sqrt{7}[/tex]/6
Similarly,
CosecA=1/SinA
SecA=1/CosA
CotA=1/TanA
The problem: Two parabolas have the same x-intercepts (one positive
x-intercept, and one negative x-intercept. The maximum or minimum value of
the first is 2 times the maximum or minimum value of the other. Sketch these
parabolas on the same coordinate grid (with at least 3 points)
-15
-10
-10
-15
10
A parabola can have 2 x-intercepts, 1 x-intercept or zero real x intercepts.
Is it possible for a parabola to have more than one x-intercept?Image search results for The x-intercepts of two parabolas are the same (one positive and one negative). The maximum or minimum of the first is twice the maximum or minimum of the other. Draw these parabolas using the same coordinate grid (with at least 3 points) “-15” “-10” “-10” “-15” 10
The x-intercepts are the spots where the parabola contacts the x-axis. A parabola can have two, one, or no real x intercepts. A parabola might have two x-intercepts, one x-intercept, or none at all.
X-intercepts, or zeros, are the places where a parabola (or any curve) crosses/touches the x-axis. As we’ll see later, the amount that determined
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In a certain game, Auntie Hall has four boxes B1, B2, B3, B4, exactly one of which contains a valuable gemstone; the other three contain cups of yogurt. You are told the probability the gemstone lies in box Bn is n/10 for n = 1, 2, 3, 4.Initially you may select any of the four boxes; Auntie Hall then opens one of the other three boxes at random (which may contain the gemstone) and reveals its contents. Afterwards, you may change your selection to any of the four boxes, and you win if and only if your final selection contains the gemstone. Let the probability of winning assuming optimal play be m/n, where m and n are relatively prime integers. Compute 100m + n.
The probability of winning, assuming optimal play, is m/n, where m and n are relatively prime integers. Then 100m + n is 11.
To find the probability of winning assuming optimal play, we need to find the probability that we choose the correct box after we know what is in the other box. Let X be the event that the gemstone is in box B1. Then P(X) = 1/10.
After Auntie Hall opens a box, the probability of X changes. Let Y be the event that the opened box contains yoghurt. Then P(Y) = 2/3.
Given Y, the probability of X changes to P(X | Y) = P(X) / (P(X) + P(X complement given Y)). We can use Bayes' theorem:
P(X | Y) = P(Y | X) × P(X) / P(Y)
Since the box that Auntie Hall opens is selected randomly, P(Y | X) = 2/3 for each X complement. Thus,
P(X | Y) = 1/10 × 2/3 / (2/3) = 1/10
The probability of winning is the same regardless of whether we switch boxes or not, so the probability of winning is 1/10.
So, 100m + n = 100 × 1/10 + 1 = 11, and the answer is 100m + n = 100 × 1/10 + 1 = 11.
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Given P(x): √√x² = |x|; Q(x): x-1 = 3; R(x, y): x + y = 0 T(x, y): x + y = y
Answer:
Step-by-step explanation:
P(x) is a statement about the square root of x squared equaling the absolute value of x.
Q(x) is a statement about x minus 1 equaling 3. Solving this equation for x we get x = 4.
R(x, y) is a statement about x plus y equaling 0. This is a linear equation and it has infinitely many solutions for x and y as long as x + y = 0.
T(x, y) is a statement about x + y equaling y. This equation is not possible because it will always result in x = 0, y = 0 and thus no solution.
It is important to note that the statement T(x, y) is not a valid equation, it is a contradiction and therefore it has no solution.
Answer:
=> The simplest form of
56
:
98
56:98 is
4
:
7.
4:7.
Step-by-step explanation:
Given ratio -
56
:
98
56:98
We have to reduce it to its simplest form,
For that, we have to find the GCD of the numerator as well as the denominator:
So, the GCD for
56
56 and
98
98 is
14.
14.
Now, divide both the numerator and denominator by the GCD:
=
>
56
÷
14
98
÷
14
=>
98÷14
56÷14
=
>
4
7
=>
7
4
Hence, the simplest form is
4
:
7.
4:7.
express the value v of a real estate firm in terms of x, the number of acres of property owned. each acre is valued at $2,750 and other company assets total $825,000..V =
The expression, which expresses the value of v in terms of x is:
V = x * $2,750 + $825,000
Let's call the value of each acre of property v_a = $2,750.
Then the total value of the real estate firm can be expressed as:
V = x * v_a + other assets
Where x is the number of acres of property owned.
Now, plugging in the given value for other assets,
we will get it as:
V = x * $2,750 + $825,000
So the value of the real estate firm,
V, is a function of the number of acres of property owned, x, and is equal to the product of the number of acres and the value per acre plus the value of the other assets.
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) component are included.
The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
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The graph of an exponential function is shown on the grid. Based on the graph, which statement about the function is true?
The range is the set of all real numbers less than -4
The range is the set of all real numbers greater than zero.
It is clear that from the figure the exponential function never become zero and it is always positive.
The range is the set of all real numbers greater than zero.
Real numbers are used to measure quantities that change over time, such as size and time.. They are distinguished from imaginary numbers by the word real, which involves the symbol I or Square root of 1.
Complex numbers. Positive and negative integers are included in the real numbers. an exponential function is a relationship of the form
y = axes, with the independent variable x ranging across the entire real number line as the exponent of a positive number.
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What’s the perimeter of ABC in the figure ?
Answer:
the answer to this question is 12
Find the area of the shaded region y=2x^2-4x
The area of the region between x = 0 and x = 2 of the curve y = 2x² - 4x is given as follows:
2.64 square units.
How to obtain the area?The area of a curve y = f(x) between an interval from x = a to x = b is obtained by the definite integral of f(x) from x = a to x = b.
The curve in this problem is given as follows:
y = 2x² - 4x.
The integral is given as follows:
I(x) = 0.67x³ - 2x².
The bounds are given as follows:
x = 0 and x = 2.
Applying the Fundamental Theorem of Calculus, the definite integral is given as follows:
A = |I(2) - I(0)|.
A = |0.67(2)³ - 2(2)²|
A = 2.64 square units.
Missing InformationThe shaded region is between x = 0 and x = 2.
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Identify the solid formed by a given net.
A: Cylinder
B: Cone
C: Rectangular pyramid
D: Rectangular prism
The solid formed by a given net is cylinder.
What is Three dimensional shape?
a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The net has two circles and one rectangle.
The net of a cylinder is formed of two circles, with one attached to each end of a rectangle.
A cylinder is a 3D shape with a circular cross section and a curved surface. It has no straight edges
Hence, the solid formed by a given net is cylinder.
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Why does the arc of length π/6 on the unit circle correspond to the point ( square root of 3 over 2, 1/2 ) on the unit circle? Explain without using trigonometric functions (sine, cosine, tangent, cosecant, secant, cotangent). Hint: Review the previous discussions.
The arc of length π/6 on the unit circle can be visualized as one-sixth of a full circle with a radius of 1 unit. The unit circle is defined as a circle with a radius of 1 unit centered at the origin (0, 0) in a coordinate plane.
What does the mathematical term "arc" mean?
An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc.
To locate the point on the unit circle that corresponds to the end of the arc, we can use the concept of polar coordinates. In polar coordinates, a point on the unit circle is defined by its distance from the origin (r) and its angle with the positive x-axis (θ), as shown in the diagram below.
[diagram here]
For the arc of length π/6 on the unit circle, the angle θ is π/6 and the distance from the origin (r) is 1 unit.
Therefore, the point on the unit circle that corresponds to the end of the arc can be represented in rectangular coordinates as (r * cos(θ), r * sin(θ)), where cos(θ) and sin(θ) are the cosine and sine of the angle θ, respectively.
Substituting the values for r and θ, we have:
x = 1 * cos(π/6) = sqrt(3) / 2
y = 1 * sin(π/6) = 1/2
So, the point on the unit circle that corresponds to the end of the arc of length π/6 is (sqrt(3) / 2, 1/2).
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14. A number divided by 5 has a remainder. What numbers might the remainder be? Explain.
When a number is divided by 4, the available remainders are 0, 1, 2, and 3. A number divided by 4 has a residue as a result.
What is meant by remainder?The value remaining after division is known as the Remainder. After division, we are left with a value if a number (dividend) cannot be divided entirely by another number (divisor). The remaining is the name for this amount.
It may exceed or fall short of the quotient. For instance, the result of 41 divided by 7 is 5 and the remaining is 6.
Division of Euclid Given positive integers a and b, the lemma or Euclid division procedure claims that there are unique integers q and r satisfying
a = bq + r, 0 ≤ r < b.
By Euclid's division lemma
If we divide any number a by 4 we get
a= 4q + r where 0 ≤ r < 4
So, the value of r can be 0, 1, 2, 3
So, when a number is divided by 4, the available remainders are 0, 1, 2, and 3.
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please help me will give u extra points :)
• which one do I put by number line?
Answer: the answer is c
Step-by-step explanation:
a cell phone company charges $35 per month for an unlimited data plan and charges a one time $100 activation fee. your parents will only spend a maximum of $485 on a phone for you. write and solve an inequality that represents the total months (m) your parents will pay for the phone
Answer:
Step-by-step explanation:
set the months as X
base on the question information, we have
35X + 100 ≤ 485
then we can have
35x ≤ 485 -100
35x≤385
x≤385/35
x≤11
thus, we can say, the total month is 11 months the parents will pay for the phone
which of the following point ranges includes the median reading test score for ninth grade students in school district x for 1993 ?
The point ranges 65-69, includes the median reading test score for ninth grade students in school district x for 1993. So, the correct choice is option (b).
The median class is defined as the class interval whose cumulative frequency is greater than (and nearest to) n/2. We have a pair chart of reading test score for ninth grade students in school district x for 1993. Total number of students in ninth grade in school district x for 1993
= 1200. We have determine the point ranges includes the median reading test for ninth grade. Now, see the pie- chart carefully.
16% points below 65 37% points in range 65-6925% points in range 70-7914% points in range 80-898% points in range 90-100The above figure contains a cumulative frequency table of students points.
Also, n/2 = 1200/ 2 = 600 and we see the class 65-69, consists cumulative frequency value, 636 > 600. So, it is the median class. Hence, the required point ranges is 65-69.
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Complete question:
Which of the following point ranges includes the median reading test score for ninth grade students in school district x for 1993 ?
a) Below 65 points
b) 65 - 69 points
c) 70- 79 points
d) 80 - 90 points
e) 90- 100 points
what is the perimeter of a regular pentagon whose sides are 6 incges long
Answer: 30inches
Step-by-step explanation:
P=5a
a=side length
P=5(6)
5*6=30
You are given X has density function
f(x)={cx, 0≤x≤2, 0, otherwise
Compute the median of X.
The value of C is; 1/3 for the probability density function f(x)=cx , 0<x<2.
What is probability density function?The probability density function is a function of a continuous random variable, whose integral across an interval gives the probability that the value of the variable lies within the same interval.
Given that the function
f(x)={cx} ,at 0, 0≤x≤2
Here, we can see that the value of x is varies as 0,1,2
So, at 0,1,2 the value of the function is;
f(1) = c
f(2) = 2c
Thus, the probability density function is given as:
Summition f(x) = f(1) + f(2)
f(x) =c + 2c = 1
3c = 1
c = 1/3
Therefore, the value of C is 1/3
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Answer #4 for brainliest and 20 points!!
Val is going to plant d vegetable seeds in one garden and 2d+6 vegetable seeds in another. How many seeds is going to plant?
There are 3d + 6 seeds is going to plant.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
We have to given that;
Val is going to plant d vegetable seeds in one garden and 2d+6 vegetable seeds in another.
Hence, The total vegetable seeds to plant is,
⇒ d + (2d + 6)
⇒ d + 2d + 6
⇒ 3d + 6
Thus, The total vegetable seeds to plant is, (3d + 6)
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Month J F M A M J J A S O N D
Sales 1520 1680 2050 1950 1520 1350 1250 1150 1610 1715 1825 2150
α=0.1
α=0.3
α=0.5
If it’s 7:30 and I have to be there 15 minute before what time should I be there
What’s the measure of AC
What’s the measure of AC’
What’s the measure of C’B
Two right triangles are similar by angle-angle similarity if they share an acute angle measure. The triangles' corresponding side length ratios will be equal.
What characteristics do the sides of a triangle have?The triangle's characteristics are: A triangle's (of all varieties) total sum of angles is 180°. The length of a triangle's two longest sides added together is longer than the third side. Similar to this, the length of the third side of a triangle's third side is shorter than the difference between its two sides.
Given,
[tex]\frac{AC'}{AC}=\frac{AB'}{AB} \\\\\frac{6}{AC}=\frac{10}{4}\\\\ AC= 8.4[/tex]
The measure of AC is 6 cm.
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Every body loves aster. the quantifier of this sentence
everyboby
Step-by-step explanation:
because it is talking about how much people love her
A music company offers a loan to buy a drum set for $1500. The simple interest is 11.8% and the loan will be paid in equal monthly payments fo
years. What is the monthly payment?
The monthly payment is $
1
The monthly payment on the principal is $33.22
What is the monthly paymentA monthly payment is a regular installment made by a borrower to a lender in order to pay off a debt over a period of time. It is typically used to repay loans such as mortgages, car loans, or personal loans, and is usually calculated based on the loan's interest rate, principal amount, and loan term (the number of months over which the loan will be repaid).
The formula of monthly payment is given as;
The formula for calculating the monthly payment on a loan is:
M = P * (r(1 + r)^n) / ((1 + r)^n - 1)
Where:
M = monthly payment
P = the principal amount of the loan = $1500
r = the monthly interest rate (expressed as a decimal) = 11.8%
n = the number of payments (in months) = 60 months
Substituting the values into the formula;
Monthly Payment = $ 33.22
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Complete Question:
A music company offers a loan to buy a drum set for $1500. The simple interest is 11.8% and the loan will be paid in equal monthly payments for 5
years. What is the monthly payment?
Which of the equations is NOT equivalent to 6x = 20? Select all that apply. 6x ÷ 6 = 20 ÷ 6 6x ÷ 6 = 20 ÷ 20 6x + 5 = 20 + 5 6x − 1 = 20 − 1 6x × 6 = 20 × 20
The equations that are not equivalent to "6x = 20" are "6x ÷ 6 = 20 ÷ 6," "6x + 5 = 20 + 5," "6x − 1 = 20 − 1," and "6x × 6 = 20 × 20."
Let's evaluate each equation to see if they are equivalent to "6x = 20":
6x ÷ 6 = 20 ÷ 6:
Dividing both sides of the equation by 6 gives us "x = 20/6" or "x = 10/3." This equation is not equivalent to "6x = 20."
6x ÷ 6 = 20 ÷ 20:
Dividing both sides of the equation by 6 gives us "x = 20/6" or "x = 10/3." Then, dividing both sides of the equation by 20 gives us "x = 1."
This equation is equivalent to "6x = 20" since both sides simplify to the same value.
6x + 5 = 20 + 5:
Adding 5 to both sides of the equation gives us "6x + 5 = 25." This equation is not equivalent to "6x = 20."
6x − 1 = 20 − 1:
Subtracting 1 from both sides of the equation gives us "6x − 1 = 19."
This equation is not equivalent to "6x = 20."
6x × 6 = 20 × 20:
Multiplying both sides of the equation by 6 gives us "36x = 400." This equation is not equivalent to "6x = 20."
Therefore, the equations that are not equivalent to "6x = 20" are "6x ÷ 6 = 20 ÷ 6," "6x + 5 = 20 + 5," "6x − 1 = 20 − 1," and "6x × 6 = 20 × 20."
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Which of the following represents the ratio of the short leg to the hypotenuse
in the right triangle shown below?
On solving the provided question, we can say that the ratio of the short leg to the hypotenuse in the right triangle is 1;2
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
the ratio of the short leg to the hypotenuse in the right triangle is
1;2
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For each point of the function f(x), determine the corresponding point for the transformed function:
y = -3f(x+2).
Write answer as ordered pair.
Points on f(x):
(-4,5), corresponding point:
(-2,3), corresponding point:
(1,-2), corresponding point:
(3,-4), corresponding point:
The corresponding point for the transformed function are:
Ordered pair (-4, -9).
Ordered pair (-2, 0).
Ordered pair (1, 12).
Ordered pair (3, 36).
How to determine the corresponding point for the transformed function?In order to determine the corresponding point for the transformed function, we would have to substitute the given value of x (x-value) into the transformed function and then evaluate.
When the x-value = -4, the corresponding point for the transformed function is:
y = -3f(x + 2)
y = -3f(-4 + 2)
y = -3f(-2)
y = -3(3)
y = -9.
When the x-value = -2, the corresponding point for the transformed function is:
y = -3f(x + 2)
y = -3f(-2 + 2)
y = -3f(0)
y = 0
When the x-value = 1, the corresponding point for the transformed function is:
y = -3f(x + 2)
y = -3f(1 + 2)
y = -3f(3)
y = -3(-4)
y = 12.
When the x-value = 3, the corresponding point for the transformed function is:
y = -3f(x + 2)
y = -3f(3 + 2)
y = -3f(5)
y = 36
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What are the intercepts and asymptotes of h(x)? Explain how to find these using the graph.
Looking at the asymptotes graph, it crosses the y-axis at y = h(x) = -1
Thus, the y-intercept is -1. The graph also crossed x-axis at..
How do you find the asymptotes on a graph?
Set the denominator to 0 and solve for x to discover the vertical asymptotes. Given that this has already been factored, solve by setting each component to zero. They are expressed as equations of lines because the asymptotes are lines.
Consequently, -1 is the y-intercept. The graph also veers off the x-axis here.
Consequently, -1 is the y-intercept. The graph also veers off the x-axis here.
As soon as the denominator equals 0, the vertical asymptotes appear. Accordingly, (2x)(x-4)=0. Vertical asymptotes are thus defined as x=0 and x=4.
Given that the degrees are identical, the horizontal asymptote in this situation corresponds to the ratio of a leading coefficients. y = [(1)(1)/(2)(1)] = 1/2.
Simply changing x = 0 makes finding the y-intercept simpler. On the other hand, because x = 0 is indeed a vertical asymptote,
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jefferson is plotting the verticles of an isoceles right triangle on a coordinate graph. he has plotted the two points shown. where should he plot the third point
To form an isosceles triangle Jefferson should plot the third point at (4,2).
What is an isosceles triangle?Any triangle with two sides that have the same length is said to be an isosceles triangle. If the two sides of a triangle are congruent, then the angle across from them must likewise be, according to the theorem that explains the isosceles triangle. As a result, the two angles of an isosceles triangle that are on opposite sides with equal numbers are equal in size.
Given, Jefferson is plotting the vertices of an isosceles right triangle on a coordinate graph.
the given points are,
(-2,-4) (4,-4)
Let, x₁ = -2, y₁ = -4
x₂ = 4, y₂ = -4
distance between (-2,-4) (4,-4) is given as,
d = √[(x₂ - x₁)² + (y₂ - y₁)²]
= √[(4 - -2)² + (-4 - -4)²]
= √[(4 + 2)² + (-4+ 4)²]
= √[(6)² + (0)²]
= √[(6)²
= 6
now verifying with other options,
1). For points (-2, -9),
Distance between (-2, -4) and (-2, -9) = √[(-2 + 2)² + (-4 + 9)²] = √5
Similarly, distance between (4, -4) and (-2, -9) = √[(4 +2)² + (-4 + 9)²] = √61
side is not equal. So the triangle is not isosceles.
2). For a point (3, 1),
Distance between (3, 1) and (-2, -4) = √[(3 + 2)² + (1 + 4)²] = 5√2
Distance between (3, 1) and (4, -4) = √[(3 - 4)² + (1 + 4)²] = 26
side is not equal. So the triangle is not isosceles.
3). For a point (-2,0),
Distance between (-2, 0) and (-2, -4) = √[(-2 + 2)² + (-4 + 0)²] = 4
Distance between (-2, 0) and (4, -4) = √[(-2 - 4)² + (0 + 4)²] = 2√13
side is not equal. So the triangle is not isosceles.
4). For a point (4, 2),
Distance between (4, 2) and (-2, -4) = √[(4 + 2)² + (2 + 4)²] = 6√2
Distance between (4, 2) and (4, -4) = √[(4 - 2)² + (2 + 4)²] = 6
Sides are equal so the triangle formed is an isosceles triangle.
Therefore, the third coordinate is (4, 2).
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The complete question is,
Jefferson is plotting the vertices of an isosceles right triangle on a coordinate graph. He has plotted the two points shown. Where should he plot the third point?
The point is on the graph is (-2,-4) (4,-4)
The options is
(-2,-9)
(3,1)
(-2,0)
(4,2)
