Jenny racehorse weighs 500 kilograms how much it weigh in grams

Answer:

Step-by-step explanation:

inorder to solve the area of the shaded area;°/360ñRsquared

arc length you use ;°/360ñD

The radius of the circle is determined as r = 5.

option B.

The radius of the circle is determined by applying the general formula for circle equation.

(x - h)² + (y - k)² = r²

where;

The given circle equation;

4x² + 4y² = 100

Simplify the equation by dividing through by 4;

x² + y² = 25

x² + y² = 5²

So from the equation above, the radius of the circle corresponds to 5.

r = 5

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Answer:59$

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Amount of interest =Principal  * interest rate  * time

     (interest is .054 in decimal )

744 = Principal * .054 * 3           so Principal = 4592.59 dollars

1) The area of a circle circumscribed about a square is 307.7 cm².

2.a.) The angle ACB is 39 degrees.°.

2b.) The value of x is 5.42.

We shall find the radius to determine the area of a circle.

First,  find the side length of the square:

Since the perimeter of the square = 56 cm, then, each side of the square is 56 cm / 4 = 14 cm.

Next, find the diagonal of the square, using the Pythagorean theorem:

Diagonal = the diameter of the circumscribed circle.

Diagonal² = side length² + side length²

= 14 cm² + 14 cm²

= 196 cm² + 196 cm²

= 392 cm²

Take the square root of both sides:

Diagonal = √392 cm ≈ 19.80 cm (rounded to two decimal places)

Then, the radius of the circle which is half the diagonal:

Radius = Diagonal / 2 ≈ 19.80 cm / 2 ≈ 9.90 cm (rounded to two decimal places)

Finally, compute the area of the circle using the formula:

Area = π * Radius²

Area = 3.14 * (9.90 cm)²

Area ≈ 307.7 cm² (rounded to two decimal places)

Therefore, the area of the circle that is circumscribed about a square with a perimeter of 56 cm is 307.7 cm².

2. a) We use the property of angles in a circle to solve for angle ACB: an angle inscribed in a circle is half the measure of its intercepted arc.

Given that arc AB has a measure of 78°, we can find angle ACB as follows:

Angle ACB = 1/2 * arc AB

= 1/2 * 78°

= 39°

Therefore, the angle ACB is 39 degrees.

2b.) To solve for the value of x, we use the information that the angle ADB =  (3x - 12)⁴.

Given that angle ADB is (3x - 12)⁴, we can equate it to the measure of the intercepted arc AB, which is 78°:

(3x - 12)⁴ = 78

Solve the equation for x, by taking the fourth root of both sides:

∛∛((3x - 12)⁴) = ∛∛78

Simplify,

3x - 12 = ∛(78)

Isolate x by adding 12 to both sides:

3x - 12 + 12 = ∛(78) + 12

3x = ∛(78) + 12

Finally, divide both sides by 3:

x = (∛(78) + 12) / 3

x = (4.27 +12) / 3

x = 5.42

So, x is 5.42

Therefore,

1) The area of the circle is 154 cm².

2a.) Angle ACB is equal to 102°.

2b.) The value of x is 5.42

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Answer:

−0.125 or - 1/8

Step-by-step explanation:

Answer:

C. 1/1,000

Step-by-step explanation:

yes or no ?

The cheapest alternative that Valentino can select is to make the computation and discover which is less expensive when compared to others.

The area of mathematics known as algebra is used to portray situations or problems using mathematical expressions.

Given that the info is incomplete, Valentino needs to analyze the three options and make additions for extra charges or deductions for discount and make a purchase of the cheapest alternative.

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Answer:

#1  (0,-4)

#2  (5,0)

#3  (3,1)

Step-by-step explanation:

#1.  (-3, 2) (0, y)  slope = -2

slope = rise/run    therefore slope = -2/1  or down 2 and over 1

so from -3 to 0 you are going over 3 units (or 3 times)  Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6      so 2-6 = -4

so y intercept (b)  = -4 0r (0,-4)

#2   (-7,-4)  (x,0)  slope (m) = 1/3   -7+12=5    x=5

#3   (4,-3)   (x, 1)   slope (m) = -4   (4/-1)   Moving one unit in slope  means

-3=4=1 for Y and 4-1=3 for X    therefore the point is (3, 1)

Using Scatterplot, when the temperature is 92, then the number of visitors is 450.

A scatter plot is a graph used to display the relationship between two continuous variables. It visualizes this connection through plotted points, representing one variable plotted against another on both x and y axes.

The x-axis functions as the independent variable, commonly manipulated or changed, while the y-axis acts as the dependent variable, usually observed or recorded.

In conclusion, using scatterplot, when the temperature is 92, then the number of visitors is 450.

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It is given that m∠AOB = 42° and m∠EOF = 66°. By the congruent rule m∠EOF ≅ m∠BOC. Therefore, m∠BOC = 66°. By the sum of m∠AOB and m∠BOC, m∠AOC = 108°, and by the supplementary rule m∠AOC + m∠COD = 180°. After application of the supplementary rule, m∠COD = 72°

Congruent angles are angles that have the same measure, in degrees and are often represented by the symbol "≅"

m∠EOF and m∠BOC are vertical angles and so they are equal and satisfy the congruent rule.

The angles m∠AOB and m∠BOC form the larger angle m∠AOC so;

m∠AOC = 42° + 66° = 108°

The supplementary rule states that if two angles add up to 180°, they are considered supplementary angles, thus m∠AOC + m∠COD = 180° is correct as m∠AOC and m∠COD both lie on a straight line AD.

Therefore, application of the supplementary rule will give the size of the angle m∠COD = 72° as follows:

108° + m∠COD = 180°

m∠COD = 180 - 108°

m∠COD = 72°.

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Answer:

the data is fairly distributed

Answer:

The data is fairly evenly distributed.

Step-by-step explanation:

I did the quiz

The width of the river using the similar triangle is 43.3 metres.

The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.

Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.

Hence, let's find the width of the river.

Therefore,

18.6 / 34.2 = AB / 79.6

cross multiply

18.6 × 79.6 = 34.2 AB

34.2 AB = 1480.56

divide both sides of the equation by 34.2

AB = 1480.56 / 34.2

AB = 43.2912280702

AB = 43.3 metres

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Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

There are 36 students in the class.

Given that in a class, 24 students read physics, 21 students read Maths and 9 students read both physics and maths, if each student read at least one of the two subjects, to find the number of the students in the class the following calculation must be made:

Therefore, there are 36 students in the class.

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Answer:

36 students is this class

Step-by-step explanation:

24 students in physics,n•(p)=n(p)-n(PnM)=24-9=15,

n•(M)=n(M)-n(PnM)=21-9=12

HERE,

n(u)=15+9+12

 =36

Answer:

A and D are correct. This is a parallelogram, which is a quadrilateral. B is not correct because not all the sides are congruent. C is not correct. E and F are not correct because this parallelogram does not have any right angles.

The interval notation for the solution set is (-∞, -4] and the number line is on the image at the end.

Here we want to find the solution set of the inequality below:

x ≤ -4

First let's do the interval notation. This will be the set that contains all the numbers from negative infinity to -4 (with -4 included, so  we need to have a closed set at that end)

This is written as:

(-∞, -4]

The use of the symbols [ ] means that the element belongs to the set.

Now to the number line, we will have a closed circle at x = -4 (because it is a solution) and a line that goes to the left of it. You can see an example in the graph at the end.

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We have the following equation

and we want to find r.

We can note that the term r squared is in both sides, then we can cancel r^2 out and get

By applying cubic root in both sides, we have

then, the answer is

Answer: $4600

Step-by-step explanation:

Answer:

n=10

Step-by-step explanation:

5n-20=3n

-20=-2n

10=n

Answer:

-19

Step-by-step explanation:

1/3 of 69=23

14/15 of 45=42

23-42=-19

Answer:

23 2/5

Step-by-step explanation:

69 1/3 - 45 14/15

= (69 - 45) + (1/3 - 14/15)

= 24 + 1 x 5/3 x 5 - 14/15

= 24 + 5/15 - 14/15

= 24 + 5 - 14/15

= 24 + -9/15

= 24 + -9 ÷ 3/15 ÷ 3

= 24 + -3/5

= 23 2/5

The statement X = Y + Yxy is True.

The equation given is:

X = Y + Yxy

To find x = (X- Y) / Yy we have to substitute the value of x in X = Y + Yxy as

X = Y + Yxy

X = Y + Yy (X-Y) / Yy

To solve for x, we can rearrange the equation as:
X = Y +  X - Y

X = X

Thus, the statement is True.

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Answer:

the sigma quality level is 8.33

Step-by-step explanation:

given the data in the question;

Target of a delivery process = 5 hours plus or minus one hour i.e 5 ± 1

standard deviation of the process σ = 0.24 hours.

so,

The Lower Limit \(L_L\) of the target will be;

\(L_L\) = 5 hours - 1 hours = 4 hours

And the Upper Limit \(U_L\) of the target will be;

\(U_L\) = 5 hours + 1 hours = 6 hours

sigma quality level = ?

Now, to get the sigma quality level, we use the following expression;

sigma quality level = ( Upper Limit \(U_L\) of the target - Lower Limit \(L_L\) of the target ) / standard deviation of the process

sigma quality level = ( \(U_L\) - \(L_L\) ) / σ

so we substitute in our values

sigma quality level = ( 6 - 4 ) / 0.24

sigma quality level = 2 / 0.24

sigma quality level = 8.33

Therefore, the sigma quality level is 8.33

Answer:

∠w = 50°

∠y = 130°

Step-by-step explanation:

Angles ∠w and ∠y are supplementary angles, which means their sum is 180.

4x + 6 + 12x - 2 = 180

16x + 4 = 180

16x = 176

x = 11

To find the angle measures replace x with 11

∠w = 4x + 6

∠w = 4*11 + 6

∠w = 50°

Now, ∠y

∠y = 12x - 2

∠y = 12*11 - 2

∠y = 130°

Answer: C

Step-by-step explanation:

Answer:

Domain = [0, 50]

Range   = [0, 3250]

Step-by-step explanation:

A function shows the relationship between two variables (independent variable and dependent variable). The independent variable is a variable not dependent on any variable, it is the input of the function while the dependent variable is a variable dependent on other variable, it is the output of the function.

The domain of a function is the set of all input variables (independent variable) and the range of a function is the set of all output variables (dependent variables).

In the function C(p) = 65p, p is the independent variable and C(p) is the dependent variable.

Since the hall can hold a total of 50 people, the domain of the function = [0, 50]

C(0) = 65(0) = 0, C(50) = 65(50) = 3250

Hence, the range of the function = [0, 3250]

Answer:

F = 30, H = 26

Step-by-step explanation:

angle F inside the triangle = 180 - 150 = 30

so H = 180 - (124 + 30) = 26

Answer:

26 degrees

Step-by-step explanation:

So there are two ways you can go about this

Way number 1: Sum of a triangle and sum of a flat line

We can see the m<YFG=150 degrees so we know that m<GFH=30 degrees. The sum of all interior angles in a triangle is 180 degrees so then we can do 180-(124+30) to get m<FHG.

Way number 2: Exterior angle theorum

The exterior angle theorum states that an exterior angle of a triangle is congruent to the sum of two remote interior angles of the traingle. I wouldn't use this unless you learned it in class but basically m<FGH+m<GHF=150 degrees so m<GHF=150-124.

Answer: 3.6 is 5% of 72

Step-by-step explanation: If 3.6 is 5% then just multiply 3.6 by 95 to get 68.4 and add to get 72, Yw.

Answer:

\(y=-67.5[cos(\frac{\pi}{15}t)-1]\)

Step-by-step explanation:

We can start solving this problem by doing a drawing of London Eye. (See attached picture).

From the picture, we can see that the tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:

\(y=-Acos(\omega t)+b\)

where:

A=amplitude

\(\omega\) = angular speed.

t= time (in minutes)

b= vertical shift.

In this case:

A= radius = 67.5 m

\(\omega=2\pi f\)

where the frequency is the number of revolutions it takes every minute, in this case:

\(f=\frac{1}{30} rev/min\)

so:

\(\omega=2\pi (\frac{1}{30})\)

\(\omega=\frac{\pi}{15} rad/min \)

and

b= radius, so

b=A

b=67.5m

so we can now build our equation:

\(y=-67.5cos(\frac{\pi}{15} t)+67.5\)

which can be factored to:

\(y=-67.5[cos(\frac{\pi}{15}t)-1]\)

You can see a graph of what the function looks like in the end on the attached picture.

The required sinusoidal equation is  \(y = -67.5 (cos\dfrac{\pi t}{15} -1)\)

Given that,

It has a diameter of 135 meters and makes one revolution (counterclockwise) every 30 minutes.

It is constructed so that the lowest part of the Eye reaches ground level, enabling passengers to simply walk on to, and off of, the ride.

We have to find,

A sinusoidal  which models the height h of the passenger above the ground in meters t minutes after they board the Eye at ground level.

According to the question,

The tourists will start at the lowest point of the trajectory, which means we can make use of a -cos function. So the function will have the following shape:

\(y = -Acos(wt) + b\)

Where,  A=amplitude ,  \(\omega\) = angular speed, t= time (in minutes) , b= vertical shift.

Then,

\(Radius = \dfrac{diameter}{2}\\\\Radius = \dfrac{135}{2}\\\\Radius = 65.5m\)

The frequency is the number of revolutions it takes every minute is determined by the formula is,

\(\omega = 2\pi f\)

Where,

\(f = \dfrac{1}{30} revolution \ per \ minute\)

Then,

\(\omega = 2\pi \times \dfrac{1}{30}\\\\\omega = \dfrac{\pi }{15}\ radian \ per\ minute\)

Here, The sinusoidal equation can be written as;

\(y = -67.5cos\dfrac{\pi t}{15} + 67.5\\\\y = -67.5 (cos\dfrac{\pi t}{15} -1)\)

Hence, The required sinusoidal equation is  \(y = -67.5 (cos\dfrac{\pi t}{15} -1)\)

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