What must be the length of ZY in order for ZY to be tangent
to circle X at point Y?
14 units
15 units
16 units
17 units

Answer:

11/12 is Z

Step-by-step explanation:

Do you need the explanation?

The required value of z is 11/12 in the given equation.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

The equation is given in the question as:

1 3/4 + z = 2 2/3

We have to determine the value of z in the given equation,

As per the question, we have

⇒ 1 3/4 + z = 2 2/3

Convert the mixed numbers into fractions,

⇒ 7/4 + z = 8/3

Rearrange the terms in the above equation,

⇒ z = 8/3 - 7/4

Take LCM in the term of fractions,

⇒ z = (32 - 21)/12

⇒ z = 11/12

Therefore, the required value of z is 11/12 in the given equation.

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Answer:

Step-by-step explanation:

[tex](x+20)=3\\ -20 -20\\x=-17[/tex]

Hope this helps please give brainliest!

Answer:

In circle D, angle ADC measures (7x + 2)°. Arc AC measures (8x - 8)°.

Circle D is shown. Points A, B, and C are on the circle. Point C is on the opposite side of points A and C. LInes are drawn from point A to point B, from point B to point C, from point C to point D, and from point D to point A. Angle A D C measures (7 x + 2) degrees. Arc A C measures (8 x minus 8) degrees.

What is the measure of Angle A B C ?

36° *****

43°  

72°  

144°

Step-by-step explanation:

its 36°

Applying the central angle theorem, the measure of angle ABC is: a. 36°

Given:

m∠ADC = (7x + 2)° (central angle)

measure of intercepted arc AC = (8x - 8)°

Therefore:

(7x + 2)° = (8x - 8)°

7x + 2 = 8x - 8

8 + 2 = 8x - 7x

10 = x

x = 10

Thus:

m∠ABC is an inscribed angle = half of measure of intercepted arc AC

m∠ABC = 1/2(8x - 8)°

m∠ABC = 1/2[8(10) - 8]

m∠ABC = 36°

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Answer:

Step-by-step explanation:

surface area=area of sides +area of top and bottom

=2(4+5)×8+2×(4×5)

=2[(9×8)+20]

=2[72+20]

=2×92

=184 m²

The total surface area of the given rectangular prism is square meters.

The surface area of a rectangular prism can be calculated by adding the areas of all its faces.

Given that a rectangular prism with a base 4 m by 5 m and a height 8 m,

The surface area can be calculated as follows:

The surface area = area of sides + area of top and bottom

The surface area = 2(4+5)×8+2×(4×5)

The surface area = 2[(9×8)+20]

The surface area = 2[72+20]

The surface area = 2 × 92

The surface area = 184 m²

Therefore, the total surface area of the rectangular prism is 184 square meters.

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Answer:

1/2x15(30+40)

Step-by-step explanation:

Just put this in your calculator

The answers are 15 guests, 7 tables, 24 guests, and 10 tables respectively.

Step-by-step explanation:

2 tables ⇒  6 guests

1 table ⇒ 6/2 = 3 guests

5 tables = 5 × 3 = 15 guests

Number of tables = 21/3 = 7 tables

Number of guests = 8 × 3 = 24 guests

Number of tables = 30/3 = 10 tables

Answer:  30 days

Step-by-step explanation:

Working together, E & B get 1/45 of the job done per day

Working alone, C gets 1/x of the job done per day

Working together, E, B, & C get 1/18 of the job done per day.

[tex]EB:\dfrac{1}{45}\qquad C: \dfrac{1}{x}\qquad EBC:\dfrac{1}{18}\\\\\\\\EB+C=EBC\\\\ \dfrac{1}{45}\ +\dfrac{1}{x}=\dfrac{1}{18}\\\\\\(45\cdot 18\cdot x)\bigg(\dfrac{1}{45}+\dfrac{1}{x}=\dfrac{1}{18}\bigg)\\\\\\.\qquad \qquad 18x+810=45x\\\\.\qquad \qquad \qquad 810=27x\\\\.\qquad\qquad \qquad \large\boxed{30=x}[/tex]

Answer: 6.48 or 6.5 rounded up!

Step-by-step explanation: hope i can help please give brainliest!

just try my answer its

6.48 or 6.5 rounded up!

To split a $24.48 lunch bill between Kiran and 3 friends ,,divide the total by 4, resulting in each person paying $6.12.

Kiran and 3 of his friends want to split the lunch bill of $24.48 evenly. Since there are 4 people in total, we simply divide the total bill by 4 to find out how much each person will pay. Here's the step-by-step calculation:

Therefore, each person will pay $6.12 to split the lunch bill of $24.48 equally.

Answer: The width of the  court is 30 feet.

Step-by-step explanation:

We know that the area of a rectangle is given by :-

Area = length x width                                              (1)

Given : A standard-size volleyball court has an area of 1,800 square feet.

The length of the court is 60 feet.

To find : The width of the court.

According to (1) , we have

[tex]1800 = 60\times \text{width}[/tex]

Then,

[tex]\text{Width}=\dfrac{1800}{60}=30[/tex]

Hence, the width of the  court is 30 feet.

Final answer:

The width of a standard-size volleyball court, with an area of 1,800 square feet and a length of 60 feet, is calculated to be 30 feet using the formula for the area of a rectangle.

Explanation:

To find the width of a standard-size volleyball court with an area of 1,800 square feet and a length of 60 feet, we need to use the formula for the area of a rectangle, which is Area = length × width. Since we know the area and the length, we can solve for the width.

Let the width be w feet.

Then, 1,800 sq ft = 60 ft × w ft,

So, w = 1,800 sq ft / 60 ft,

Therefore, w = 30 feet.

The width of the volleyball court is 30 feet.

Answer:

8

Step-by-step explanation:

18+8=26

26 / 3 = 8

8

hope this helped!

~ angilina

Answer:

144

Step-by-step explanation:

48×3= 144

48×3=144

to make it easier just add the number being multiplied the amount of times its being multiplied.

48+48+48=144

Both 3x48 and 48x3 yield the same result, which is 144, because multiplication is commutative.

Both expressions involve multiplying the numbers 3 and 48.

In the first expression, 3x48 means you're multiplying 3 by 48. This gives you 144, because 3 times 48 equals 144.

In the second expression, 48x3 means you're multiplying 48 by 3. This also gives you 144, because multiplication is commutative, which means the order of the numbers doesn't change the result. So, whether you multiply 3 by 48 or 48 by 3, you'll always get the same answer, which is 144.

So, to summarize:

3x48 = 144

48x3 = 144

Both expressions result in the same value of 144.

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Answer:

(3,-4)

Step-by-step explanation:

minimum is shown if you were to graph it,

i dont really know how else to explain it, its sorta self explanatory.. :)

Answer:

Since the leading coefficient of x^2 is positive.  Therefore, it is a minimum.

The value of the minimum is:  (3, -4)

Answer:

C.

the subtraction property of equality

Step-by-step explanation:

Given

8x + 15 = 11x + 2

Subtract 15 from both sides of the equation

8x + 15 - 15 = 11x + 2 - 15

8x = 11x - 13

Answer:

the addition property of equality

Step-by-step explanation:

Compare step 1 with step 2 in the solution process:

step 1: -5x = -4x - 15

step 2: -x = -15

The variable was isolated on the left side of the equation by adding 4x to both sides. This is justified by the addition property of equality.

Answer:

act like you dont care next time keep the volume down

Step-by-step explanation:

Answer:

D. y = 0.8x + 79

Choices:

A.  

y = 79x + 0.8

B.  

y = -0.8x + 79

C.  

y = 79.8x

D.  

y = 0.8x + 79

The following functions represent the cost of a massage as: Cost = 59 + 0.95x

A linear function is defined as an equation in which the highest exponent of the variable is always one.

A one-hour massage at Serenity Spa costs $59 USD. They charge $0.95 per minute for every minute over an hour.

The cost of a massage can be represented by the function:

Cost = 59 + 0.95x

This function states that the cost of the massage is equal to the base cost of $59 plus an additional charge of $0.95 for each minute over an hour (represented by the variable x).

For example, if the massage lasts for 70 minutes (10 minutes over an hour), the cost would be calculated as:

Cost = 59 + 0.95(10) = 59 + 9.5 = $68.50

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Answer:

8 gallons of gasoline costs $30.63.

Step-by-step explanation:

Set up a proportion to solve for x, or the cost of 8 gallons of gasoline. The $47.86 goes on top of the first ratio, and 12.5 goes on top of the second. This is because the $47.86 is the cost of the 12.5 gallons of gasoline. Next, put x on the bottom of the first ratio and 8 on the bottom of the second ratio. This is because the amount of money you are trying to find, x, is the cost of the 8 gallons of gasoline. The proportion should look like this: [tex]\frac{47.86}{x} = \frac{12.5}{8}[/tex]

To solve the proportion, use cross multiplication. To do that, multiply 8 by 47.86 to get 382.88. Then, divide 382.88 by 12.5. The answer is 30.6304‬, so round to the nearest cent to get a total of $30.63.

I hope this helps! ☺

Answer: 1.37 and 137/100

Step-by-step explanation:

hope this help make me brainliest plest thanks

Final answer:

137% can be written as the fraction 137/100, which is already simplified. To convert 137% to a decimal, divide 137 by 100 to get the decimal 1.37.

Explanation:

To write 137% as a fraction, you should consider that percent means 'per hundred.' Therefore, 137% can be written as a fraction with a denominator of 100: 137/100, which is already in its simplest form.

To express 137% as a decimal, you divide the numerator by the denominator. In this case, you would divide 137 by 100. This gives you the decimal 1.37, which is the decimal equivalent of 137%.

Understanding these conversions is crucial when working with percentages, and they can often simplify calculations in various mathematical problems.

Answer:

42%, 3/7, .44

Step-by-step explanation:

what i would do is turn them all into decimals

3/7 is .4285

.44 is already a decimal

42% is .42

Answer:

12 UN 3

Step-by-step explanation:

ok i hope this is right answer

Final answer:

The rock takes approximately 2.032 seconds to reach the ground.

Explanation:

The height of the rock can be modeled by the equation h(t) = -16t² + 10t + 100, where h(t) is the height of the rock and t is the time in seconds. To find the time it takes for the rock to reach the ground, we need to solve the equation when h(t) is equal to zero. We can do this by setting the equation equal to zero and using the quadratic formula.

Using the quadratic formula, we get: [tex]t = (-b \± \sqrt(b^2 - 4ac))/(2a)[/tex]

Plugging in the values of a, b, and c from the equation, we get: [tex]t = (-10 \± \sqrt{10^2 - 4(-16)(100)/2(-16)[/tex]

Simplifying, we get: [tex]t = (-10 \± \sqrt{100 + 6400/(-32)[/tex]

Continuing to simplify, we get: [tex]t = (-10 \± \sqrt{6500/(-32)}[/tex]

So, it takes approximately 2.032 seconds for the rock to reach the ground.

Answer:

The discount is 43.75 dollars.

Step-by-step explanation:

125 - 81.25 = 43.75

Final answer:

The discount percentage applied to reduce the original price of $125 to the sale price of $81.25 is 35%.

Explanation:

A student is trying to find out the discount percentage that was applied to an item originally priced at $125 to have a final sale price of $81.25. To calculate the discount, one can use the formula: Discount percentage = ((Original Price - Sale Price) / Original Price)  imes 100%. Applying this to the given values: ($125 - $81.25) / $125  imes 100% = $43.75 / $125  imes 100% = 35%. Thus, the discount percentage applied is 35%.

Answer:

2 meters/ second

Step-by-step explanation:

Speed is equal to distance divided by time

Speed = 50 meters / 25 seconds

            = 2 meters/ second

Answer:

9+10 equals 21

Step-by-step explanation:

Just bc im big brain

Answer:

mean= 15.16

2/53

Step-by-step explanation:

addition of all the figures plus the next student divided by 6

Answer:

54% or 15/28

Step-by-step explanation:

You find the sum of 15 and 13 to get 28. 15/28 = 53.5 If you round you get 54%.

Answer: Minimum

Step-by-step explanation:

Answer:1,-6 minimum

Step-by-step explanation:Minimum vertex will look like a smiley face and a maximum will look somewhat like a frown. As for the vertex just follow the lines the x and y are on.

Answer:

x=95

Step-by-step explanation:

320x+11400=440x

320*95+11400=440*95

30,400+11,400=41,800

41,800=41,800

The manufacturer needs to sell approximately 95 cell phones to cover its fixed costs of $11,400 per month. The profit per month depends on the number of units sold, with a contribution margin of $120 per unit after covering variable costs.

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