Given sin(t)=7/25 for pi/2 < t < pi, what is cos(t)?

The thermometer reading would be 73.48°C.

The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.

100 - 26.52 = 73.48

Hence, the thermometer reading would be 73.48°C.

In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.

By subtracting 26.52 from 100, we obtain a reading of 73.48°C.

Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.

In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.

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The factors of the polynomial function f(x) must be x, x + 6  and x + 3

From the question, we have the following parameters that can be used in our computation:

The graph (see attachment)

On the graph, we have the zeros of the function to be

x = -6, x = -3 and x = 0

Set the equations to 0

So, we have the following representation

x + 6 = 0, x + 3 = 0 and x = 0

This means that the factors are

x, x + 6  and x + 3

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Check the picture below.

so let's recall that the area of a circle is just πr² where r = radius, so since the sizes of each pizza are 10, 14, 18 and 22, that's simply their diameter, so that means they each have a radius half of that, or namely 5, 7, 9 and 11, as you see in the picture, so, hmmm which radius gives us the most area per the fraction provided, namely per slices provided?

\(\cfrac{4}{8}\pi 5^2\implies \cfrac{25\pi }{2} ~~ \approx ~~ 39.26~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{8}\pi 7^2\implies \cfrac{147\pi }{8} ~~ \approx ~~ 57.73~in^2 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{2}{8}\pi 9^2\implies \cfrac{81\pi }{4}~~ \approx ~~ 63.62~in^2 ~~ \textit{\LARGE \checkmark} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{1}{8}\pi 11^2\implies \cfrac{121\pi }{8}~~ \approx ~~ 47.52~in^2\)

Answer: Large

Step-by-step explanation:  Hope it helps Good luck!!!

Missing statement and reasons given below

Answer:

The ball is at a maximum height when t = 0.125s.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

\(f(x) = ax^{2} + bx + c\)

It's vertex is the point \((x_{v}, f(x_{v})\)

In which

\(x_{v} = -\frac{b}{2a}\)

If a<0, the vertex is a maximum point, that is, the maximum value happens at \(x_{v}\), and it's value is \(f(x_{v})\)

In this question:

\(h(t) = -32t^{2} + 8t + 3\)

So \(a = -32, b = 8\)

When is the ball at a maximum height

\(t_{v} = -\frac{8}{2*(-32)} = 0.125\)

The ball is at a maximum height when t = 0.125s.

Answer:

Step-by-step explanation:

(x÷5)*4=80÷(5*4)

(x÷5)*4 = 80÷20

(x÷5)*4 = 4

x÷5 = 4÷4

\(\frac{x}{5}=1\\\\x=1*5\\\\x=5\)

Answer:

5

Step-by-step explanation:

(x :5) ×4 =80 :(5 ×4)

(x :5) ×4 =80 :20

(x :5) ×4 =4

x :5 =4 :4

x:5 =1

x=1 ×5

x =5

Answer: D

Step-by-step explanation:

Answer:

can you write this on paper and send me? i have feeling ik this but i don't understand what u need

Answer:

Step-by-step explanation:

The surface area of a right cylinder is given by the formula ...

  SA = 2πr(r +h) . . . . . radius r, height h

Filling in the given values, we find the area to be ...

  SA = 2π(3 cm)(3 +7 cm) = 60π cm² ≈ 188.5 cm²

__

The volume of the cylinder is given by the formula ...

  V = πr²h . . . . . radius r, height h

Filling in the given values, we find the volume to be ...

  V = π(3 cm)²(7 cm) = 63π cm³ ≈ 197.9 cm³

__

The volume is proportional to r², so doubling the radius will multiply the volume by 2² = 4.

The volume is proportional to the height, so multiplying the height by 3 will multiply the volume by 3.

  4 > 3, so doubling the radius gives the most volume

The values of the other trigonometric functions for the given values of sin(Ф) and cos(Ф) are as follows, cos(Ф) = -5/4, sec(Ф) = -4/5, tan(Ф) = 16/25, cot(Ф) = 25/16.

To find the values of the other trigonometric functions of Ф, we can use the given information of sin(Ф) and cos(Ф).

We know that sin(Ф) = -4/5 and cos(Ф) = -5/4.

Recall that cos(Ф) is the reciprocal of sin(Ф), so we can determine cos(Ф) by finding the reciprocal of sin(Ф):

cos(Ф) = 1/sin(Ф) = 1/(-4/5) = -5/4

Similarly, we can find sec(Ф) by taking the reciprocal of cos(Ф):

sec(Ф) = 1/cos(Ф) = 1/(-5/4) = -4/5

To find tan(Ф), we can use the identities tan(Ф) = sin(Ф)/cos(Ф):

tan(Ф) = sin(Ф)/cos(Ф) = (-4/5)/(-5/4) = 16/25

Next, we can find cot(Ф) by taking the reciprocal of tan(Ф):

cot(Ф) = 1/tan(Ф) = 1/(16/25) = 25/16

Finally, we can find sec(Ф) by taking the reciprocal of csc(Ф):

cot(Ф) = 1/csc(Ф) = 1/(-5/4) = -4/5

Therefore, the values of the other trigonometric functions for the given values of sin(Ф) and cos(Ф) are as follows:

cos(Ф) = -5/4

sec(Ф) = -4/5

tan(Ф) = 16/25

cot(Ф) = 25/16

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The first quantity (45g) as 60 percentage of second (75g).

A part of whole expressed in Hundredth. Percentage is a fraction of a number out of 100%. It can be in fraction or in decimal.

To convert the given percentage value in decimal, divide the given value by 100.

For example:

1. 50% in decimal or fraction will be 50/100 = 0.5.

2. 20% in decimal or fraction will be 20/100 = 0.2.

1. Finding the total amount from which we need to find the percent.

2. Dividing the required amount to find the percentage by total amount.

3. Multiply it by 100.

For example:

1. It rained 10 of the 30 days in April.

Percentage will be 10/30 = (1/3) x 100

Percentage = 33.33%

Here, we have given that:

Total amount = 75g

Required amount for percent = 45g

Now, to find the percentage:

Percentage = 45/75

Percentage = 0.6 x 100

Percentage = 60%

Hence,

The first quantity (45g) as 60 percentage of second (75g).

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Answer:yes

Step-by-step explanation:

44/4=11

11 is less than 27

Answer:

The value of x would 12.2.

Step-by-step explanation:

You have to use the pythagorean theorem to solve this.

a = 5.85 (11.7/2)

b = what we are trying to find

c = 13.5

\(\sqrt{13.5^{2} - 5.85^{2} }\) = 12.1666 which rounds to 12.2

I hope this helps, I apologize if it isn't right.

Length of KL is 17 units

Given that;

L is mid point of KM

KL = 2x - 3

LM = x + 7

Find:

Length of KL

Computation:

We know that,

L is mid point of KM

So,

KL = LM

2x - 3 = x + 7

2x - x = 7 + 3

x = 10

So,

Length of KL = 2x - 3

Length of KL = 2(10) - 3

Length of KL = 20 - 3

Length of KL = 17 units

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The probability of the baseball player getting exactly 4 hits out of 10 times at bat is approximately 0.161, or 16.1%.

To calculate the probability of a baseball player getting exactly 4 hits out of 10 times he was up at bat, we need to use the binomial probability formula.

The binomial probability formula is given by:P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

Where:

P(X = k) is the probability of getting exactly k hits

n is the total number of trials (in this case, the player's 10 times at bat)

k is the number of successful trials (in this case, 4 hits)

p is the probability of success in a single trial (in this case, the player's batting average, 0.298)

(1 - p) is the probability of failure in a single trial

Plugging in the values:

P(X = 4) = C(10, 4) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Using the combination formula C(n, k) = n! / (k! * (n - k)!):

P(X = 4) = 10! / (4! * (10 - 4)!) * (0.298)^4 * (1 - 0.298)^(10 - 4)

Calculating the values:

P(X = 4) ≈ 0.161

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The value of square root of x + y squared + z squared is 30

x = 2, y = 3 and z = -5

\(( \sqrt{x + y} )^{2} + z ^{2} \)

substitute the value of x, y and z

\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)

simplify the square root and square

\( = (2 + 3) + 25\)

\( = 5 + 25\)

\( = 30\)

Ultimately, x + y squared + z squared is 30

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The standard deviation by the given  probability distribution is 3.3412.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of population

N = number of observation of population

X = mean

μ = population mean

We are given that;

x P(x)

−5 0.17

−3 0.21

−1 0.09

3 0.23

5 0.23

7 0.07

Now,

To find the standard deviation, we need to use the formula:

standard deviation = sqrt[∑(x - μ)²P(x)]

where μ is the expected payout.

We have already calculated μ to be 0.76. Using this value and the given probabilities, we can calculate the standard deviation as:

standard deviation = sqrt[( (-5 - 0.76)² * 0.17) + ((-3 - 0.76)² * 0.21) + ((-1 - 0.76)² * 0.09) + ((3 - 0.76)² * 0.23) + ((5 - 0.76)² * 0.23) + ((7 - 0.76)² * 0.07)]

=3.3412

Therefore, by the given data the standard deviation will be 3.3412.

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Mr.West ate 23 ounces of grapes in 11 days by eating 2 1/11 ounces of grapes each day.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, Mr.West ate grapes for 11 days. He ate 2 1/11 ounces of grapes each day.

Therefore, The total number of grapes Mr.West ate is,

= 11×(2 1/11) grapes.

= 11×(23/11) grapes.

= 23 grapes.
So, He ate 23 ounces of grapes in 11 days.

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Answer:

Step-by-step explanation:

Reflect over the Y axis, then translate (x+[-2], y+[-3])

The composition of transformations that map ABCD to EHGF will be [(x + 6), (y + 1)].

Change is referred to as transformation. As a result, a geometric transformation entails making modifications to any geometric shape.

Vertices of the quadrilateral ABCD having coordinate A,B,C,D are  (-5, 2),(-3, 4), (-2, 4),(-1, 2) respectively.

The image quadrilateral A'B'C'D' is formed by reflecting the supplied quadrilateral ABCD across the x-axis.

The rule for a point's reflection across the x-axis is:

(x, y) → (x , -y)

The picture point A' coordinates will be,

A(-5, 2) → A'(-5, -2)

Point E is produced by translating point A', as shown in the diagram. The rule for translating a point by h units right and k units up is as follows:

A'(x+h, y+k) → E(x', y')

By comparing coordinates of A' and E,

-5 + h = 1

h = 6

-2 + k = -1

k = 1

That is to say, the translation rule will be:

[(x + 6), (y + 1)]

Hence, the composition of transformations that map ABCD to EHGF will be [(x + 6), (y + 1)].

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Answer:

Step-by-step explanation:

  1 km/h = (1000 m)/(3600 s) = 1/3.6 m/s

Then

  225 km/h = 225(1/3.6) m/s = 62.5 m/s

In 15 seconds, that's ...

  (15 s)(62.5 m/s) = 937.5 m

Answer:

62.5

and

937.5

Step-by-step explanation:

Answer: i think the first thing is correct and the third thing is correct.

Step-by-step explanation:

840 different numbers can be created selecting 4 of the digits from the number

From the question, we have the following parameters that can be used in our computation:

Number =  8712395

Digits = 4

The count of digits in the number is 7

Using the above as a guide, we have the following:

So, we have

Numbers = 7 * 6 * 5 * 4

Evaluate

Numbers = 840

Hence, 840 numbers can be formed

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Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

Answer:

-2*(6y-3x+9)

Step-by-step explanation:

Answer:

-6(-x+3+2y)

Step-by-step explanation:

The equations for two parallel planes such that the first plane contains l1 is Ax + By + Cz = D, and the second plane contains l2 is Ax + By + Cz = E.

The equation of a plane is a mathematical representation of the position and orientation of the plane in space.

For line l1, let's take two points on the line, P1 and P2. The direction vector of the line is given by the difference between P2 and P1.

The cross product of this vector with a vector that points in the direction perpendicular to the line and the plane will give us the normal vector of the plane.

The equation of the plane containing l1 is given by:

Ax + By + Cz = D,

where A, B, and C are the coefficients of the normal vector and D is the constant that defines the position of the plane in space.

The equation of the plane containing l2 is given by:

Ax + By + Cz = E,

where A, B, and C are the same coefficients as in the first plane equation and E is the constant that defines the position of the second plane in space.

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2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).

To express 2 cos 35 sin 67 as a sum, we can use the trigonometric identity for the product of two sine or cosine functions.

Specifically, the identity states that 2 cos A sin B can be written as

sin(A + B) + sin(A - B).

Applying this identity, we have:

2 cos 35 sin 67 = sin(35 + 67) + sin(35 - 67)

Simplifying the expressions inside the sine functions:

sin(102) + sin(-32)

Since the sine function is an odd function,

sin(-x) = -sin(x),

so we can rewrite the equation as:

sin(102) - sin(32)

Therefore, 2 cos 35 sin 67 can be expressed as the sum of sin(102) and -sin(32).

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The pairs of triangles can be proven similar through SSS similarity is given by Third pair.

We know that the SSS similarity criteria will have the ratio of three corresponding sides of both triangles congruent.

1. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

2. KL / EG = HL / DG = HK / DE

3/10 ≠ 6.5/13 ≠ 4/10

Thus, SSS similarity does not follow.

3. KL / EG = HL / DG = HK / DE

3/6 = 6.5/13 = 5/10

Thus, SSS similarity follow.

4. All three angles are congruent.

Thus, SSS similarity does not follow.

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The length of the curve y=1/3x³/2-x⁻¹/² from (1, -2/3) to (4, 2/3) is approximately 0.236 units.

what is curve?

In mathematics, a curve refers to a continuous and smooth line or a geometric object that is formed by joining an infinite number of points. Curves can be defined algebraically or geometrically, and they can have different shapes and properties. Some examples of curves include lines, circles, ellipses, parabolas, hyperbolas, and spirals.

Curves are often used in various fields of mathematics, science, and engineering to represent real-world phenomena, such as the trajectory of a moving object, the shape of a surface, or the behavior of a system over time. They are also important in computer graphics and design, where they are used to create visual effects, animations, and models.

In calculus, the study of curves is an essential part of differential and integral calculus. The concepts of limits, derivatives, integrals, and differential equations are used to analyze the properties and behavior of curves, such as their slope, curvature, area, and length.

To find the length of the curve y=1/3x³/2-x¹/² from (1, -2/3) to (4, 2/3), we can use the formula for arc length:

L = ∫[a,b] √(1 + (dy/dx)²) dx

where a and b are the x-coordinates of the starting and ending points of the curve.

First, we need to find the derivative of y:

dy/dx = (d/dx) (1/3 x^³/²- x¹/²) = (1/2) x⁻¹/² - (1/2) x⁻¹/²= x⁻¹/²

Next, we need to find the definite integral of the square root of 1 + (dy/dx)² from 1 to 4:

L = ∫[1,4] √(1 + (x⁽⁻¹/²⁾⁾²) dx

L = ∫[1,4] √(1 + 1/x) dx

To evaluate this integral, we can use the substitution u = 1 + 1/x, which gives du/dx = -1/x²and dx = (1/u) du.

Substituting, we get:

L = ∫[u(1),u(4)] √u (1/u²) du

L = ∫[u(1),u(4)] u⁻¹/² du

L = 2(u(4)¹/²- u(1)¹/²

To find u(1) and u(4), we substitute x=1 and x=4 into the equation for u:

u = 1 + 1/x

u(1) = 2 and u(4) = 1.25

Substituting these values into the expression for L, we get:

L = 2(1.118 - 1)

L = 0.236

Therefore, the length of the curve y=1/3x³/²-x¹/²from (1, -2/3) to (4, 2/3) is approximately 0.236 units.

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Answer:

Hey mate here's your answer ⤵️

Option C

Answer:

C:95.5%

Step-by-step explanation:

edge