In this figure, ABC is circumscribed about OQ. find the perimeter of ABC.
Answer options: 66, 58, 54, 62

Answer:

the answer would be 3,-5

Step-by-step explanation:

you rotate it in a 90 degree clockwise rotation and you end up with 3,5 and when you reflect it upon the x-axis your point ends up at 3,-5

Answer:

3,-5

Step-by-step explanation:

If you rotate it in a 90 degree rotation in the clock direction you will end in 3.5 and your x-axis will result in 3.5.

Answer: 3

Step-by-step explanation:

1. Convert the mixed number to fraction:

- Multiply the denominator of the fraction by the whole number.

- Add the product obtained and the numerator of the fraction.

- Write the sum obtained as the numerator and rewrite the original denominator of the fraction.

Then:

[tex]1\ 1/2=\frac{(1)(2)+1}{2}=\frac{3}{2}[/tex]

2. Multiply the numerators.

3. Multiply the denominator.

4. Reduce the fraction.

Then:

[tex](\frac{3}{2})(\frac{2}{1})=\frac{6}{2}=3[/tex]

Answer: C

Explanation:

If a store paid x dollars to buy the computer and they sold it for 10 percent extra, it would be x+.1x. We can use the distributive property to get that x+.1x=x(1+.1) to get 1.1x, or C

Answer: c.1.1x

Step-by-step explanation:

Hi, the correct option is c.1.1x.

Since the price they paid for the computer is 100%, if they sell them for 10% more:

100%+10% =110% (sales percentage)

So, for a price x, to obtain the selling price we have to multiply the price (x) by the sales percentage in decimal form (110/100= 1.1)

The final expression is:

1.1x

If one angle in a parallelogram is 90°, all four angles are 90°, making the parallelogram a rectangle.

When dealing with a parallelogram, it is important to remember certain properties about its angles. A parallelogram has opposite angles that are equal and consecutive angles that are supplementary (add up to 180 degrees). If one angle is 90°, then the opposite angle must also be 90°. Since one pair of opposite angles are right angles, this parallelogram is actually a rectangle. This means the other two angles in the parallelogram must also be 90° each.

So, in conclusion, if a parallelogram has one angle that measures 90 degrees, the measures of the other three angles in the parallelogram are also 90 degrees each. This is because a parallelogram with all right angles is a rectangle, and by definition, a rectangle has all angles measuring 90 degrees.

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In a parallelogram with one angle measuring 90°, the other three angles also measure 90°, making the parallelogram a rectangle.

In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (sum to 180°). Since one angle measures 90°, its opposite angle must also be 90°. Therefore, the adjacent angles must each be 180° - 90° = 90°.

Since one angle in a parallelogram measures 90°, the other three angles must also be 90°, making this parallelogram a rectangle.

Answer:

One eighth is one part of eight equal sections. Two eighths is one quarter and four eighths is a half. It's easy to split an object, like a cake, into eighths if you make them into quarters and then divide each quarter in half.

There are two eighths of an inch in a quarter of an inch.

The student is asking how many eighths of an inch are in 1/4 of an inch. To get the answer, you have to ask "how many 1/8's fit into 1/4". Since 1/4 is the same as 2/8, there are two eighths in one quarter.The student is asking how many eighths of an inch are in 1/4 of an inch. To get the answer, you have to ask "how many 1/8's fit into 1/4". Since 1/4 is the same as 2/8, there are two eighths in one quarter.The student is asking how many eighths of an inch are in 1/4 of an inch. To get the answer, you have to ask "how many 1/8's fit into 1/4". Since 1/4 is the same as 2/8, there are two eighths in one quarter.

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Answer:

29*sqrt(5)

Step-by-step explanation:

Start with sqrt (45). You must reduce it to it's prime factors.

45: 9 * 5            9 is not prime so reduce it.

45: 3 * 3 * 5  

When you write √45, you should replace it with √(3*3*5)

The rule is

Rule: when you have a pair of equal prime factors under a root sign, you can take one out and throw one away.

Rule 2: If there are an odd number of equal primes one of them will be left underneath the root sign.

√45 = 3√5

11sqrt(45) - 4 sqrt(5)              Substitute for 45

11*3*sqrt(5) - 4sqrt(5)            Take out sqrt(5) using the distributive property.

(11*3 - 4)*sqrt(5)                      Combine 11 * 3  

(33- 4) * sqrt(5)                       Do the subtraction

29 * sqrt(5)                             Answer

The correct answer is 29[tex]\sqrt{5}[/tex]

The third option.

Answer:

21. Option d

22. Option b

23. Option b

Step-by-step explanation:

The formula to calculate the binomial probability is represented as follows.

[tex]P(X=x) = \frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}[/tex]

The formula to calculate the binomial probability is represented as follows.

In this formula x represents the number of successes, n represents the number of times the experiment is repeated, p represents the probability of success.

1. First we are asked to calculate the probability of obtaining 3 successes, with n = 6 and p = 0.35.

Then we substitute the values in the formula [tex]P(X=3) = \frac{6!}{3!(6-3)!}(0.35)^3(1-0.35)^{6-3}\\\\P(3) = 0.2354[/tex]

Option d.

2. Second we are asked to calculate the probability of obtaining 5 successes, with n = 20 and p = 60%, p = 0.6.

[tex]P(X=5) = \frac{20!}{5!(20-5)!}(0.6)^5(1-0.6)^{20-5}\\\\P(5) = 0.00129[/tex]

option b

3. Third we are asked to calculate the probability of obtaining 2 successes, with n = 10 and p = 1/2, p = 0.5.

[tex]P(X=2) = \frac{10!}{2!(10-2)!}(0.5)^2(1-0.5)^{10-2}\\\\P(2) = 0.04394[/tex]

option b

Answer:

[tex]\large\boxed{(f-g)(x)=-3x^2-x-4}[/tex]

Step-by-step explanation:

[tex](f-g)(x)=f(x)-g(x)[/tex]

[tex]f(x)=-4x^2-6x-1,\ g(x)=-x^2-5x+3\\\\(f-g)(x)=(-4x^2-6x-1)-(-x^2-5x+3)\\\\(f-g)(x)=-4x^2-6x-1-(-x^2)-(-5x)-3\\\\(f-g)(x)=-4x^2-6x-1+x^2+5x-3\qquad\text{combine like terms}\\\\(f-g)(x)=(-4x^2+x^2)+(-6x+5x)+(-1-3)\\\\(f-g)(x)=-3x^2-x-4[/tex]

Answer: C≈47.12m

Step-by-step explanation:

C=2π r=2· π· 7.5≈47.12389m

* Hopefully this helps:)Mark me the brainliest:)!!

Answer:

11.02 = a, rounded to the nearest 10th

Step-by-step explanation:

The length of the ladder (13 ft) forms the hypotenuse of the triangle when leaned against the house.  The distance the ladder goes up the wall is the side opposite to the angle we are working with, so we can use the sine function to solve.  

Sin X = (opposite side)/(hypotenuse)

Sin 58 = a/13

     13(Sin 58) = a

              11.02462525 = a

                  11.02 = a, rounded to the nearest 10th    

A 13-foot ladder making a 58-degree angle with the ground will reach approximately 6.9 feet up a wall when we use the cosine function to calculate the height.

To find how many feet up a wall a 13-foot ladder will reach when it makes a 58-degree angle with the ground, we can use trigonometric functions, specifically the cosine function for adjacent and hypotenuse in a right-angled triangle.

The formula we will use is:

cosine(angle) = [tex]\frac{height}{hypotenuse}[/tex]

Re-arranging the equation to solve for the adjacent side, we get:

adjacent side = cosine(angle) * hypotenuse

Now plug in the values:

adjacent side = [tex]cosine(58 ^0) * 13 feet[/tex]

We can calculate the cosine of 58 degrees using a calculator and multiply it by 13, which will give us the height the ladder reaches on the wall. Let's calculate:

adjacent side = 0.5299 * 13 feet

adjacent side = 6.8887 feet

Therefore, a 13-foot ladder at a 58-degree angle with the ground will reach approximately 6.9 feet up a wall.

The area is greater because you multiply 10 by 10. The perimeter is all the sides added together so that would be 40 units. All sides of the square are the same. Area is length times width

The area of a square with a side of 10 units is 100 square units, which is greater than its perimeter of 40 units, because the area measurement squares the side's length, whereas the perimeter is a sum of side lengths.

To determine which is greater between the area of a square and its perimeter, we start by understanding that the area of a square is calculated by squaring the length of one side. In this case, the square's side is 10 units, so the area is 10 units  imes 10 units = 100 square units. The perimeter of a square is the sum of all its sides, which is 4 times the length of one side. Hence, the perimeter is 10 units times 4 = 40 units.

As a result, the area, which is 100 square units, is greater than the perimeter, which is 40 units. This demonstrates that while the perimeter is a measure of the distance around the square, the area represents the entire space enclosed within it, leading to larger numerical values when the sides of the square are squared as opposed to simply multiplied by four.

answer: 1 over 165 step by step: #1 Evaluate the power 5 to the power of 1= 5 because any expression raised to the power of 1 if u asking what's is an expression the expression is five and together is 5 to the power of 1) #2 if a term like five doesn't have a exponent the exponent is 1) #3 remove the parathesis ) #4 subtract 1 and -2 u get 1 over 5 to the power of -4 and 5 to the power of negative four is 1 over 165) the second I don't know

Answer:

If point a and point b split the circle in 2 arcs.

One of the point take up way more space than the other one.

Answer:  Measure of ∠BAM is 30°.

Step-by-step explanation:  As shown in the attached figure, points A and B split the circle with center O into two arcs. Major of the minor arc is 150°. And, the point M splits the major arc in the ratio 2 : 5.

We are to find the measure of ∠BAM.

Since the measure of minor arc AB is 150°, so the measure of major arc AB will be

360° - 150° = 210°.

Also, point M divides the major arc AB in the ratio 2 : 5, so we have

[tex]\textup{arc }BM:\textup{arc }{MA}=2:5.[/tex]

Therefore, the measure of ∠BOM is given by

[tex]m\angle BOM=\dfrac{2}{2+5}\times 210^\circ=\dfrac{2}{7}\times210^\circ=2\times30^\circ=60^\circ.[/tex]

We know that the measure of the angle subtended at the center by an arc is equal to twice the measure of the angle subtended at the circumference by the same arc.

That is, for arc BC, we get

[tex]m\angle BOM=2\times m\angle BAM\\\\\\\Rightarrow m\angle BAM=\dfrac{m\angle BOM}{2}\\\\\\\Rightarrow m\angle BAM=\dfrac{60^\circ}{2}\\\\\\\Rightarrow m\angle BAM = 30^\circ.[/tex]

Thus, the measure of ∠BAM is 30°.

Answer:

1. 15

2. 26.6666666667

3. 26.6666666667

4. 15

5. 8

Step-by-step explanation:

Answer:

the answer is probably 6x:8y

Step-by-step explanation:

The central angle is described by angle AOC

What is the central angle?

A central angle is an angle formed by two radii (lines from the center of a circle) that intersect at a point on the circle's circumference.

It is called "central" because it originates from the center of the circle.

In this case, the radii are AO and CO

Central angles are essential in geometry

Answer:

vertex = (- 5, - 8)

Step-by-step explanation:

Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

Given x² + 10x = - 17 ( add 17 to both sides )

x² + 10x + 17 = 0 ← in standard form

with a = 1, b = 10, c = 17, then

[tex]x_{vertex}[/tex] = - [tex]\frac{10}{2}[/tex] = - 5

Substitute x = - 5 into the quadratic for the corresponding value of y

y = (- 5)² + 10(- 5) + 17 = 25 - 50 + 17 = - 8

Hence vertex = (- 5, - 8)

Answer:

Option D. y=6x

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

Verify each case

case a) y=(1/6)x+6

Is a linear equation, but is not a direct variation. The line not passes through the origin

case b)  y=6/x

The equation represent an inverse variation

case c) y=6x-6

Is a linear equation, but is not a direct variation. The line not passes through the origin

case d) y=6x

The equation represent a direct variation

Final answer:

Among the options provided, option d. y = 6x is the equation of a direct proportion because it follows the form y = kx where k is the constant of proportionality and there is no added or subtracted constant.

Explanation:

The equation of a direct proportion is one where the dependent variable changes at the same rate as the independent variable. In mathematical terms, if two variables y and x are directly proportional, it implies that y = kx, where k is the constant of proportionality.

Looking at the options provided:

a. y = 1/6x + 6 is not directly proportional because of the addition of the constant 6.

b. y = 6/x is an inverse proportion because y changes inversely with x.

c. y = 6x - 6 is also not directly proportional due to the subtraction of the constant 6.

d. y = 6x perfectly fits the definition of direct proportionality as there is no added or subtracted constant and it follows the form y = kx.

Therefore, the equation of a direct proportion among the options given is d. y = 6x.

Answer:

you need to list the sets of data.

Step-by-step explanation:

The question is asking to determine whether given sets of sides form a right triangle using Pythagorean theorem. The theorem is verified if the square of the length of the longest side equals the sum of the squares of the two other sides. However, some approximations might not perfectly fit the theorem but still form a right triangle.

The subject of this question is the Pythagorean Theorem in the field of Mathematics. The theorem is a fundamental principle in Geometry which states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. This can be written as: a² = b² + c².

To determine whether or not a set of sides forms a right triangle, you would need to check if the lengths satisfy the Pythagorean theorem. If they do, then the sides are potentially those of a right triangle. For instance, if you're given sides with lengths 3, 4, and 5, you can check if 5² equals 3² + 4². Since 5² = 25 and 3² + 4² = 9 + 16 = 25, the sides do form a right triangle.

However, checking with the Pythagorean theorem is only conclusive if the lengths already satisfy the theorem. There might be situations where the length measurements are approximations and might not perfectly fit the theorem despite forming a right triangle.

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Answer: 3,520 feet

Step-by-step explanation:

To solve this exercise you must apply the proccedure shown below.

You know that 1 miles is equal to 5,280 feet.

1 mile=5,280 feet (This is the conversion factor that you should use)

Then, keeping the above on mind, you can convert 2/3 miles to feet as following:

[tex](\frac{2}{3}miles)(\frac{5,280feet}{1mile})=3,520feet[/tex]

The answer for your question is:

C: Rectangle

If a parallelogram is inscribed in a circle, then it must be a Rectangle

Any quadrilateral in which opposites sides are parallel is called a parallelogram.

Any 2 dimensional figure bounded by 3 sides and sum of all the angles is 180° is called a triangle.

A parallelogram with four equal sides and sometimes one with no right angles is called a rhombus.

A rectangle is a four sided quadrilateral, having all the internal angles equal to 90 degrees and opposite sides are equal.

A trapezoid is a quadrilateral with one pair of opposite sides parallel.

This follows the characteristics features of a circle.

So the required parallelogram will be a rectangle.

Option C is correct.

So, options A , B, D are incorrect.

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Answer:

Step-by-step explanation:

DG=x+20

DG=2x+17+8+2

x+20=2x+27

20=x+27

-7=x

DG=13

Answer:

DG = 20

Step-by-step explanation:

We are given a straight line DG with point E and F on it and we are to find the length of DG.

We have [tex] D E = 2 x + 7 [/tex], [tex] E F = 8 [/tex],  [tex] F G = 2 [/tex] and [tex] D G = x + 20 [/tex].

So we can write it as:

[tex] DG = DE + EF + FG [/tex]

[tex]x+20 = 2x+17+8+2[/tex]

[tex]2x-x=20-17-8-2[/tex]

[tex]x=-7[/tex]

Substituting this value of [tex]x[/tex] to find DG:

DG = [tex]+x+20 = -7+20[/tex] = 13

Answer:

George is 12, Mary Lou is 24 and Kate is 10.

Step-by-step explanation:

To find these, start by setting George's age as x. This means that we can model Mary Lou's age as 2x, since she is twice as old. We can also model Kate's age as x - 2 since she is two years younger. Now we can add these 3 together and set equal to 46

x + 2x + x - 2 = 46

4x - 2 = 46

4x = 48

x = 12

This means that George is 12.

Mary Lou = 2x

Mary Lou = 2(12)

Mary Lou = 24

Kate = x - 2

Kate = 12 - 2

Kate = 10

Answer:

G 12 Mary L 24 and kate is 10

Step-by-step explanation:

Answer:   [tex]\bold{\dfrac{-5\pm 2\sqrt{10}}{3}}[/tex]

Step-by-step explanation:

[tex]5-10x-3x^2=0\quad \rightarrow \quad a=-3,\ b=-10,\ c=5\\\\\\\text{Quadratic formula is: }x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\\x=\dfrac{-(-10)\pm \sqrt{(-10)^2-4(-3)(5)}}{2(-3)}\\\\\\.\ =\dfrac{10\pm \sqrt{100+60}}{2(-3)}\\\\\\.\ =\dfrac{10\pm \sqrt{160}}{2(-3)}\\\\\\.\ =\dfrac{10\pm 4\sqrt{10}}{2(-3)}\\\\\\.\ =\dfrac{-5\pm 2\sqrt{10}}{3}[/tex]

Answer:

[tex]d = \sqrt{14} = 3.74...[/tex]

Step-by-step explanation:

To find the distance between (8, -3, 4) and (6, -4, 1), use the distance formula for (x,y,z) points. It is very similar to (x,y) points.

[tex]d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2 - z_1)^2} \\d = \sqrt{(8 - 6)^2 + (-3--4)^2 + (4-1)^2} \\d = \sqrt{(2)^2 + (1)^2 + (3)^2} \\d = \sqrt{4 + 1 + 9}\\ d = \sqrt{14} = 3.74...[/tex]

Answer:

D. 53.2 ft.

Step-by-step explanation:

As you can see in the diagram, Farimah, Helio, and the kite are making a triangle. We know from our problem that the distance from Farimah to Helio is 15 ft, the distance from Farimah to the kite is 57 ft, and the angle of elevation from Farimah to the kite is 68°. From this situation, we can infer that we have two sides of the triangle and the angle between those sides; therefore, we can use the law of cosines to find the third side, which is the distance form Helio to the kite:

[tex]c^2=a^2+b^2-2abcos(C)[/tex]

[tex]c^2=57^2+15^2-2(57)(15)cos(68)[/tex]

[tex]c=\sqrt{57^2+15^2-2(57)(15)cos(68)}[/tex]

[tex]c=53.2[/tex]

We can conclude that Helio is 53.2 ft from the kite.

Answer:

D. 53.2

You can use the Law of Cosines to solve.

Answer:

expression a

Step-by-step explanation:

The given expression is 15+0.25(d−1).

let suppose,

15 = a

0.25(d−1) = b

we get  a + b

It clearly indicates the given expression is sum of two entities, we can exclude  option b and option d.

Now we are left with option a and c, for that we have to evaluate the term b

b = 0.25(d−1) that is the additional amount after d days

Therefore, expression a is correct.

Answer:

It is the sum of the initial amount and the additional amount after d days.

Step-by-step explanation:

It is the sum of the initial amount and the additional amount after d days. i have ttm

Answer:

your answer is 0.001

Step-by-step explanation:

you multiply by 100

move the decimal two places to the right

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Answer:

you get 0.001

Step-by-step explanation:

Convert the percentage to a fraction by placing the expression over  100 . Percentage means 'out of  100 '.

[tex]\frac{0.01}{100}[/tex]

Convert the decimal number to a fraction by shifting the decimal point in both the numerator and denominator. Since there are  2  numbers to the right of the decimal point, move the decimal point  2  places to the right.

[tex]\frac{1}{0000}[/tex]

Convert the fraction to a decimal by dividing the numerator by the denominator. then you get 0.001 as your answer

Hope This Helps

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It would be D because 45.60-.01 would mean you subtract the .01 from the .60

Answer:

D)4.193

Step-by-step explanation: