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

Answers

Answer 1

Answer:

15 units

Step-by-step explanation:

In the image attached you can notice that line ZY is tangent at point Y.

Remember that the radius is always perpendicular to tangents, by definition, that means [tex]XY \perp ZY[/tex].

That means [tex]\triangle XYZ[/tex] is a right triangle where [tex]\angle Y = 90\°[/tex].

All these facts are deducted form having ZY as a tangent.

We know by given that

[tex]XZ=8+9=17[/tex]

[tex]XY=8[/tex], becaus it's the radius.

Using Pythagorean Theorem

[tex]17^{2} =8^{2}+ZY^{2}[/tex]

Solving for [tex]ZY[/tex]

[tex]ZY=\sqrt{17^{2} -8^{2} } \\ZY=\sqrt{289-64}\\ ZY=\sqrt{225}\\ ZY=15[/tex]

Therefore, the length of ZY must be 15 units to be tangent to circle X.

What Must Be The Length Of ZY In Order For ZY To Be Tangent To Circle X At Point Y?14 Units15 Units16
Answer 2

Answer:

15 units

Step-by-step explanation:

The guy above me has got it right! :D

What Must Be The Length Of ZY In Order For ZY To Be Tangent To Circle X At Point Y?14 Units15 Units16

Related Questions


Melinda has a scrap piece of fabric with one angle
measuring 52°. If she needs to find a complementary
angle, what angle measure does she need to cut the
next piece?
Melinda should cut the piece of fabric at an angle of______

Answers

Answer:

38

Step-by-step explanation:

Answer:

38

A right angle. A line comes out of the angle to split the angle into 52 degrees and blank.

Melinda has a scrap piece of fabric with one angle measuring 52°. If she needs to find a complementary angle, what angle measure does she need to cut the next piece?

Melinda should cut the piece of fabric at an angle of  

38

°.

Step-by-step explanation:

Using digits 0-9 at most one time,fill in the boxes o make the sum of the interior angles of a triangle .

Answers

Step-by-step explanation:

The interior angles of a triangle add up to 180.

There are many possible answers.  One example is 90 + 12 + 78.

Question 3 (Multiple Choice Worth 1 points)
(02.05 MC)
Write the equation of a function whose parent function, f(x) = x + 8, is shifted 2 units to the right.
Og(x) = x - 6
O g(x) = x -
11111
x
0
|
+ III
x
M
|
x
M
O g(x) = x + 2
|
O g(x) = x + 6

Answers

Answer:

[tex]g(x) = x + 6[/tex]

Step-by-step explanation:

The parent function is given as:

[tex]f(x) = x + 8[/tex]

We want to find a new function that results after shifting f(x), 2 units to the right.

Let that function be g(x), then

[tex]g(x) = f(x - 2)[/tex]

We replace x by x-2 in f(x) to get:

[tex]g(x) = x - 2 + 8[/tex]

When we simplify, we obtain:

[tex]g(x) = x + 6[/tex]

Eric can wrap 50 gift boxes in one hour. On this basis, Samantha computed the number of gifts he can wrap in 0.05 hour. How many significant digits are there in Samantha’s result?

A) 1

B) 2

C) 3

D) 4

Answers

Answer:

The answer is B).2

Step-by-step explanation:

any 0 after the decimal is significant. .05 should be the answer.

Answer:

It is not 2 i got it wrong

Step-by-step explanation:

i think it is one

Factor out the greatest common monomial factor from the polynomial. (If the polynomial has no common monomial factor, enter NCF.)
8x + 8

Answers

Answer:

Step-by-step explanation:

8x = 8 * x

8 = 8 * 1

Greatest common factor = 8

8x + 8 = 8(x+ 1)

x∙5∙25∙4÷5, if x=813

Answers

Final answer:

When x equals 813, the algebraic expression x⋅5⋅25⋅4÷5 simplifies to 81300 by substituting x with 813 and following the order of operations through multiplication and division.

Explanation:

The question asks for the calculation of an algebraic expression with the substitution of x=813. The expression is x⋅5⋅25⋅4÷5. To solve this, we first substitute x with 813, and then we follow the order of operations.

Substitute x with 813: 813⋅5⋅25⋅4÷5.Multiply the numbers together: 813⋅5 equals 4065, 4065⋅25 equals 101625, and 101625⋅4 equals 406500.Finally, divide by 5: 406500÷5 equals 81300.

Therefore, when x=813, the solution to the expression is 81300.

jeds market has a total of 26 employees. Each full time employee makes $275/ week, and each part-time employee makes $140/ week. Jed pays a total of $5935 in wages each How many full-time and part-time employees does he have? Let f= number of fulltime employees, and p= number of part-time employees.

Answers

Answer:

[tex]f=17\\p=9\\[/tex]

Step-by-step explanation:

Let

[tex]f= Full-time\\p=Part-time[/tex]

Full time rates-$275, Part-time rates-$140

The problem can be expressed as:

[tex]f+p=26...eqtn1\\275f+140p=5935....eqtn2\\[/tex]

Express eqtn1 in terms of f,[tex]f=26-p[/tex]

Substitute f value in eqtn 2.

[tex]=>275(26-p)+140p=5935\\7150-275p+140p=5935\\1215=135p\\p=9\\f=26-9=17\\[/tex]

Therefore,  jeds has 17 fulltime and 9 parttime employees.

Use the system of equations to answer the questions.
2x + 3y = 3
y = 8 - 3r
The value of y from the second equation is substituted back into the first equation. What is the resulting equation?
What is the value of x?
What is the value of y?

Answers

Answer:

the value of x and y is 3 and -1 respectively.

Step-by-step explanation:

from the question

let

2x + 3y = 3........................ equation 1

y = 8 - 3x.............................. equation 2

put y = 8 - 3x in equation 1

2x + 3y = 3........................ equation 1

2x + 3 ( 8 - 3x) = 3

2x + 24 - 9x = 3

24 - 7x = 3

24  = 3 + 7x

24 -3 = 7x

21 = 7x

divide both sides by 7

x = 3

put x = 3 in equation 2

y = 8 - 3x.............................. equation 2

y = 8 - 3 ( 3)

y = 8 -9

y = -1

therefore the value of x and y is 3 and -1 respectively.

There are 12 animals in a farm.
Some are cows
The rest are chickens
There are 28 animal legs in all.
How many cows are there?
How many chickens are there?

Answers

Answer:

2 cows 10 chickens

Step-by-step explanation:

2 X 10 = 20

4 X 2 = 8

20 + 8 = 28

identify the numerical coefficient of the term 5xy

Answers

answer: 5
the numerical coefficient is the number multiplying the variable

Which figure has only one line of symmetry? A. rhombus B. square C. circle D. isosceles triangle

Answers

Answer:

D. isosceles triangle

Step-by-step explanation:

Answer:

D. Isosceles Triangle

Step-by-step explanation:

An Isoceles triangle can only be folded once, it has one line of symetry. A square has 4, a circle has infinete and a rhombus has 2 so it has to be an isoceles triangle.

The graph of which function has an axis of symmetry at x = 3?

Answers

The graph of y = 2(x - 3)² + 2 has an axis of symmetry at x = 3

The graph of which function has an axis of symmetry at x = 3?

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

The quadratic functions

A quadratic function is represented as

y = a(x - h)² + k

Where,

The axis of symmetry is at x = h

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

The graph of y = 2(x - 3)² + 2 has an axis of symmetry at x = 3

Question

The graph of which function has an axis of symmetry at x = 3?

y = 4(x + 3)²

y = 2(x - 3)² + 2

y = x² + 2

y = 2(x + 5)² + 2

After one hour, the hare had finished 2/3 of a 100-yard race. In that same time, the tortoise had finished 42 3/4 yards. How much farther had the hare run than the tortoise?

Answers

Answer:

23 11/12 yards or 23.9166 yards

Step-by-step explanation:

2/3 of 100 yard race is equivalent to 66 2/3 yards. Tge difference between the above and 42 3/4 yards covered by tortoise will be

66 2/3- 42 3/4= 23 11/12 yards or 23.91666 yards

Stop 1: first, let's pay the bills.
1) Henna's cell phone company has a basic monthly plan of $60 plus $0.12
per minute. At the end of the month she was charged with a total of
$123.00. How many minutes has she used this month?​

Answers

Answer:

525 Minutes

Step-by-step explanation:

The equation would be...

$60 + $0.12m = $123

Now we can simplify

($60 - $60) + $0.12m = ($123 - $60)

$0.12m = $63

($0.12m/$0.12) = ($63/$0.12)

M = 525

123-60=63 63/.12=525 minutes

-4 1/4 divided by 1/2

Answers

Answer:

-8.5, or -8 1/2

Step-by-step explanation:

Put it into an improper fraction: -17/4

Multiply: -17/4 * 2/1 (To divide, multiply by reciprocal)

= -34/4

Simplify: -17/2, or -8 1/2

Answer:

-34/4    or -8 1/2

Step-by-step explanation:

First we want to put -4 1/4 so its all a fraction we do this by multiplying 4 to 4 and adding it to the 1 already in the fraction (We can ignore the sign and just add it to the fraction because the entire fraction is negative not just the 4). So we have -17/4

To divide fractions we use keep change flip it is an easier way to divide fractions with out making decimals. We keep the first fraction change the division into multiplication and flip the last fraction, in this case 1/2 becomes 2/1. Now we have

-17/4 * 2/1  

Our next step is to multiply the numerators together and the denominators together and then put it back in fraction form.

-17 * 2 = -34

4 * 1 = 4

Our final result is

-34/4        

Or if you need it as a mixed number you just divide the 34 into 4 as many times as you can and make that the whole number. 34 doesn't completely fit into 4 but 32 does so we have

-8 2/4      or simplified further

-8 1/2

if f(x) = 3x - 12, what is f(2)?
-6
-18
18
6

Answers

Answer: -6

Explanation: In this problem, we're given the function f(x) = 3x - 12 and we're asked to find f(2).

To find f(2) or the value of the function when x equals 0, we simply substitute 2 in for x in our function. So we have f(x) = 3(2) - 12 or 6 - 12 which equals -6.

So f(2) or the value of the function when x equals 2 is -6.

the final answer is -6

3 Maddie's little brother spilled ketchup on one of her homework problems.
Assuming that the number under the spill is greater than zero, fill in the bubble
to show what Maddie should be able to tell for sure about the answer, even
though she can't see the other number.
O The answer will be less than 3.
O The answer will be less than the ketchup-covered number.
O The answer will be a fraction.
O The answer will be greater than the ketchup-covered number.

b.Explain your answer. How do you know the statement you chose is true?

Answers

The answer will be less than the ketchup covered number I think

Final answer:

Maddie should be able to tell for sure that the answer will be greater than the ketchup-covered number.

Explanation:

Based on the information provided, Maddie should be able to tell for sure that the answer will be greater than the ketchup-covered number. We can make this determination by comparing the known quantity, which is '3', with the fact that the obscured number is greater than zero. As long as the missing number is positive, any amount added to '3' would result in a sum that is larger than '3'.

If the hidden number is greater than zero and we add it to '3', the result must logically be greater than '3'. This concept is grounded in the basic principles of arithmetic, where adding a positive number to another number increases the total. Therefore, regardless of what the ketchup-covered number is, provided it is more than zero, the sum will indeed be larger than the visible number '3'.

plz help me asap will give brainliest and 100 points.
3. A new ice cream shop is opening up and the owners are making a large ice cream cone for display (see
picture below). What is the volume of the ice cream cone? Round your answer to the nearest hundredth of a
cubic inch. Use 3.14 to approximate pi. Show your work and explain your steps.

Answers

Answer:

167.47 cubic metres

Step-by-step explanation:

Volume of a cone is given by [tex]\frac {\pi r^{2}h}{3}[/tex] where r is radius and h is the height of the cone. Assuming a radius of 4m and height of 10 m then the volume, using 3.14 for [tex]\pi[/tex] will be

V=[tex]\frac {3.14\times 4^{2}\times 10}{3}\approx 167.47 m^{3}[/tex]

Find the next 3 terms in each sequence
1). 8, 24, 72, 216.... ____, ______, _____,

Answers

Answer: 648, 1,944, and 5,832.

Step-by-step explanation: Begin by studying the pattern.

Here, notice that 8 × 3 is equal to 24.

24 × 3 is equa to 72.

72 × 3 is equal to 216.

Continuing the same pattern, 216 × 3 is equal to 648.

648 × 3 is equal to 1,944.

1,944 × 3 is equal to 5,832.

I have also attached in image below showing my work.

So the three missing terms in the pattern are 648, 1,944, and 5,832.

PLEASE HELP ME!!! 5 POINTS
What does Florida's state constitution include in its first article?

A. Declaration of rights
B. Description of the state flower
C.Image of the state flag
D. Plans for the Capitol building

Answers

Hello.

The answer is A. The Declaration of Rights.

Answer:

c. image of the state flag

The phone company charges a 1.5% service fee on all long distance calls. If a long distance call bill is $32, how much is the service fee?

Answers

Answer:

$0.48

Step-by-step explanation:

Step 1:  Make an equation to help show the relation ship

The phone company charges a 1.5% service fee on all long distance calls.

%1.5x

0.015x

Step 2:  Plug in and then multiply

0.015x

0.015(32)

$0.48

Answer:  $0.48

Find the surface area of number 1. Will give Brainliest

Answers

Answer:

142 in^2

Step-by-step explanation:

Base: 7 × 3 = 21 (×2 = 42)

Small faces: 5 × 3 = 15 (×2 = 30)

Larger faces: 5 × 7 = 35 (×2 = 70)

Add: 21 + 30 + 70 = 142

A system of equations is shown.
x + y = 7
2x – y = – 1
What is the solution to the system of equations?

Answers

Final answer:

To solve the system of equations (x + y = 7 and 2x - y = -1), use the addition method to find that the solution is x = 2 and y = 5.

Explanation:

The question asks for the solution to the following system of equations:

x + y = 7

2x – y = – 1

To solve this system, we can use the method of addition (also known as elimination) to eliminate one of the variables. Here's how:

Add the two equations directly to eliminate variable y:
(x + y) + (2x - y) = 7 – 1
3x = 6
Therefore, x = 2.

Substitute the value of x into one of the original equations to find y:
2 + y = 7
Therefore, y = 5.

So, the solution to the system of equations is x = 2 and y = 5.

The solution to the system of equations is [tex]x = 2[/tex] and [tex]y = 5[/tex].

To solve the system of equations [tex]x + y = 7[/tex] and [tex]2x - y = -1[/tex], we can use a method called substitution or elimination. Let's use substitution for this case.

Start with the first equation:
[tex]x + y = 7[/tex]

Solve this equation for one of the variables, say [tex]y[/tex]:
[tex]y = 7 - x[/tex]

Substitute [tex]y = 7 - x[/tex] into the second equation:
[tex]2x - (7 - x) = -1[/tex]

Simplify and solve for [tex]x[/tex]:
[tex]2x - 7 + x = -1[/tex]
[tex]3x - 7 = -1[/tex]
[tex]3x = 6[/tex]
[tex]x = 2[/tex]

Substitute [tex]x = 2[/tex] back into the expression for [tex]y[/tex]:
[tex]y = 7 - 2[/tex]
[tex]y = 5[/tex]

This means that the point [tex](2, 5)[/tex] is where the two lines represented by these equations intersect. Therefore, the solution is [tex](2, 5)[/tex].

Skylar got a manicure for $28 and pedicure for $35
salon. If she plans to tip 15%, how much will she pay?

Answers

Answer:

$72.45

Step-by-step explanation:

Add the amounts of the manicure and pedicure together: 28 + 35 = 63

Then find 15% of $63. You will need to find the decimal equivalent of 15%. To do this, divide 15 by 100 or move it two decimal places to the right: 15/100 = 0.15

Now, multiply total of the manicure and pedicure, 63, by 0.15: 63 x 0.15 = 9.45

$9.45 will be her tip. To find the total amount Skylar payed, add the tip to the amount spent on the mani/pedi: 63 + 9.45 = 72.45

Skylar will pay $72.45

Hope this helps!

Final answer:

To calculate Skylar's total payment including a 15% tip for her manicure and pedicure, add the cost of both services ($63) and then calculate the tip ($9.45). The total payment is $72.45.

Explanation:

The student's question involves calculating the total cost of a service which includes both a tip and the original prices of the services purchased - in this case, a manicure and a pedicure. To find how much Skylar will pay after tipping 15%, we first need to calculate the total cost of the services before the tip.

Firstly, we add the cost of the manicure ($28) and the pedicure ($35) to get the total cost before the tip:

Manicure = $28Pedicure = $35Total cost before tip = Manicure + Pedicure = $28 + $35 = $63

Next, we calculate the amount of the tip by multiplying the total cost by the tip percentage (which we convert from 15% to a decimal by dividing by 100):

Tip percentage = 15%Tip as a decimal = 15% / 100 = 0.15Tip amount = Total cost before tip × Tip as a decimal = $63 × 0.15 = $9.45

Finally, we add the original total cost to the tip to find the final amount Skylar will pay:

Final total cost = Total cost before tip + Tip amount = $63 + $9.45 = $72.45

So, Skylar will pay $72.45 in total for her manicure and pedicure including a 15% tip.

To ride your favorite roller coaster, you must be at least five feet tall but
less than seven feet tall. Let h represent any height that can ride the roller
coaster.

Answers

Answer:

5 ≤ h<7

Step-by-step explanation:

the rider has to be more than at least 5 feet tall, so h is greater than or equal to 5 (5 ≤ h), but they have to be less than 7 feet tall (h<7) so, therefore, we get 5 ≤ h<7

Jason went to the post office and bought both 41-cent stamps and 26-cent postcards and spent $10.28. The number of stamps was 4 more than twice the number of postcards. How many of each did he buy?

Answers

Jason bought 20 stamps of $0.41 each and 8 postcards of $0.26 each.

Solution:

Let stamps be s and postcards be p

Given that,

The number of stamps was 4 more than twice the number of postcards

s = 4 + 2p -------- eqn 1

Jason bought both 41-cent stamps and 26-cent postcards and spent $10.28

41 cent = $ 0.41

26 cent = $ 0.26

Therefore,

[tex]s \times 0.41 + p \times 0.26 = 10.28[/tex]

0.41s + 0.26p = 10.28 --------- eqn 2

Substitute eqn 1 in eqn 2

0.41(4 + 2p) + 0.26p = 10.28

1.64 + 0.82p + 0.26p = 10.28

1.08p = 10.28 - 1.64

1.08p = 8.64

Divide both sides by 1.08

p = 8

Substitute p = 8 in eqn 1

s = 4 + 2(8)

s = 4 + 16

s = 20

Thus Jason bought 20 stamps and 8 post cards

Simplify the expression -23 + 6

Answers

Answer:

−23+6

=−23+6

=−17

Step-by-step explanation: Mark brainliest please!

what is the y-intercept of y=3x - 8

Answers

Answer:

(0, -8)

Step-by-step explanation:

y is defined as x=0,

therefore y = 3*0 - 8= -8

Answer:

-8 or (0, -8)

Step-by-step explanation:

The point slope form:  y = mx + b

m is the slope

b is the y-int

Step 1:  Identify the y-int

y = 3x - 8

-8 is the y-int

(0, -8)

Answer:  -8 or (0, -8)

What is the length of D.
8ft

Answers

Answer:

96 inches

Step-by-step explanation:

8 ft is 8(12) inches, which is 96 inches

3 (x+2) = 18
Can you please use the distributive property thx?

Answers

Answer:4

Step-by-step explanation:3x+6=18 minus 6 on both sides and divide by 3

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