Which figure shows a line tangent to the circle?

A circle is shown. A line with length 3 is drawn from the middle point to a point on the circle. A line with length 6 is drawn from that point to a point outside of the circle. Another line with length 9 is drawn from that point to the middle point to form a triangle.

A circle is shown. A line with length 5 is drawn from the middle point to a point on the circle. A line with length 5 is drawn from that point to a point outside of the circle. Another line with length 10 is drawn from that point to the middle point to form a triangle.

A circle is shown. A line with length 3 is drawn from the middle point to a point on the circle. A line with length 4 is drawn from that point to a point outside of the circle. Another line with length 5 is drawn from that point to the middle point to form a triangle.

Answer:

y = 3/5

Step-by-step explanation:

Step 1: Flip the equation.

−5y=−3

Step 2: Divide both sides by -5.

After dividing both sides by 5, they should cancel out, leaving you with 3/5.

Answer:

He will $21250

Step-by-step explanation:

If $1250 will be paid from Dracula bonus for the next 17 month, then on this paycheck, he will gain

17*1250 = $21250

The total volume of the figure is 44000 mm³. Ryder used the wrong formula for the total volume.

The composite figure is formed by combinning pyramid and a rectangular prism.

volume of rectangular prism = Bh

where

volume of rectangular pyramid = 1 / 3 Bh

where

Therefore, the total volume is as follows:

total volume = Bh +  1 / 3 Bh

total volume = 40 × 30 × 5 + 1 / 3 (30 × 40) × 95

total volume = 6000 + 1 / 3 (114000)

total volume = 6000 + 38000

total volume = 44000 mm³

learn more on rectangular prism and pyramid here: https://brainly.com/question/16310824

Answer:

Step-by-step explanation:

Substitute the numbers in for y and z.

3/2(6)+5/3(3)-3

9+5-3

14-3=11

answer: 11

Answer:

The answer is 32.

Step-by-step explanation:

Remember that order of operation is very important in this problem.

Substitute x for 3 and y for 2 in the equation.

When solving the first term, we must note that we have to square the 3 first before we multiply it by 4. So, 4(3)^2 is basically 36. To simplify the second term you just have to do 2*2, which is 4. 36-4=32, which is the answer.

Final answer:

The value of the expression 4x² - 2y when x = 3 and y = 2 is 32, found by substituting the values of x and y into the expression and simplifying.

Explanation:

To find the value of 4x² - 2y when x = 3 and y = 2, we need to substitute these values into the expression.

So, the value of the expression 4x² - 2y when x = 3 and y = 2 is 32.

Answer:

3500-750=2750

2750/300=9.1677

he gets 750 per month .. this means he is sure to get $750 every month.. so he already have $750 out of the 3500 so I subtract it... and 300 per car ,so I divide it , so that I can get the amount of car he needs to sell to get 3500

The inequality representing the minimum number of cars David needs to sell to earn at least $3,500 per month is x>=10, with x being the number of cars sold.

To determine the inequality for the number of sales David needs to make to earn a minimum of $3,500 per month, we consider his monthly income which includes a base salary and commission for cars sold. David earns a base salary of $750 plus a commission of $300 for each car he sells. Let's denote the number of cars David sells in a month as x.

The total monthly income David gets from commission by selling x cars is $300x. So, the total monthly income David earns is $750 (base salary) plus $300x (commission from sales), or $750 + $300x in total.

Since David needs to earn at least $3,500 monthly, his total monthly income must be greater than or equal to $3,500. We can represent this as the following inequality:

$750 + $300x >=$3,500

To find the minimum number of cars David needs to sell, we now solve for x:

Since David cannot sell a fraction of a car, he needs to sell at least 10 cars to meet his financial goal.

Therefore, the inequality for the number of sales David needs to make at least $3,500 per month is x >=10.

Answer:

(-3,1)

y= 1

x= -3

Step-by-step explanation:

4x-9y=-21

-4x-3y=9

solve the equation

4x=-21+9y

-4x-3y=9

substitute the value of 4x onto an equation

-1(-21+9y)-3y=9

multiply -1 to the numbers in parenthesis

-21+-9-3y=9

add -9 to 9 and put the negative on nine as a positive.

-21-3y=18

add -21 to 18 but since 21 is a negative the equation is subtraction.

-3y=-3

divide Both sides by -3

y=1

substitute the value of y into an equation

-4x-3•1=9

multiply 3 to 1

-4x-3=9

put -3 as a positive and add 3 to 9

-4x=12

divide both sides by -4

x= -3

(-3,1)

The solution for x and y in the given equations is x = 27 and y = 11.

Let's consider the second equation, -x + 3y = 6, and rewrite it in the form ax + by = c.

To get the equation in the required form, we'll rearrange the terms:

-x + 3y = 6

Add x to both sides:

3y = x + 6

Now, subtract 6 from both sides:

3y - 6 = x

This equation can be rewritten in the form ax + by = c by swapping sides:

x = 3y - 6

Now, let's substitute this expression for x into the first equation: 4x - 9y = 9.

4x - 9y = 9 becomes 4(3y - 6) - 9y = 9.

Simplify the equation: 12y - 24 - 9y = 9.

Combine like terms: 3y - 24 = 9.

Add 24 to both sides: 3y = 33.

Divide both sides by 3: y = 11.

Substitute y = 11 into x = 3y - 6: x = 3 × 11 - 6.

Calculate: x = 33 - 6 = 27.

Therefore, the solution for x and y in the given equations is x = 27 and y = 11.

Complete Question:

4x-9y=9; -x+3y=6 Rewrite one of the two equations above in the form ax + by = c, where a, b, and c are constants, so that the sum of the new equation and the unchanged equation from the original system results in an equation in one variable.

Answer:

x = 1 and y = -8x

Step-by-step explanation:

Answer:

{y,x} = {-8,1}

Step-by-step explanation:

Solve by Substitution :

// Solve equation [2] for the variable  y

 [2]    y = -8x

// Plug this in for variable  y  in equation [1]

  [1]    (-8x) - 6x = -14

  [1]     - 14x = -14

// Solve equation [1] for the variable  x

  [1]    14x = 14

  [1]    x = 1

// By now we know this much :

   y = -8x

   x = 1

// Use the  x  value to solve for  y

   y = -8(1) = -8

Solution :

{y,x} = {-8,1}

Answer:

It would be 10 because 1000 cm equals 10 m

Enjoy :]

Step-by-step explanation:

Edith needs 10 meters of ribbon to make all 50 school spirit ribbons. To convert from centimeters to meters, we divide by 100. Therefore, 1,000 centimeters is equal to 10 meters.

To answer how many meters of ribbon Edith needs, we first need to understand the relationship between centimeters and meters. In one meter, there are 100 centimeters. Thus, to convert centimeters to meters, we can divide by 100.

Edith needs a total of 1,000 cm of ribbon. In order to convert this to meters, we would do the following calculation: 1000 cm ÷ 100 = 10 meters.

So, the correct answer is D. 10 m. Edith needs to buy 10 meters of ribbon from the fabric store. This is necessary to have enough ribbon to make all 50 school spirit ribbons that are each 20 cm long.

https://brainly.com/question/32468011

#SPJ3

Answer:

64

Step-by-step explanation:

Callie is incorrect because of the way she distributes the exponent inside the brackets. This is what she did:

[tex](8 - 2*2)^3 = 8^3 - (2*2)^3 = 512 - 4^3 = 512 - 64 = 448[/tex]

The correct calculation should be done inside the bracket first, then the exponent outside

[tex](8 - 2*2)^3 = (8 - 4)^3 = 4^3 = 64[/tex]

Answer:

In step 1, when Callie distributed the One-half to the 8, she multiplied incorrectly.

Step-by-step explanation:

allie solved this one-variable equation. When she was done, she tried to verify her answer, but found that it was wrong. Can you find her mistake?

1

2

(4k + 8) = 10

1. 2k + 16 = 10

2. 2k = −6

3. k = −3

What was Callie’s mistake?

Callie should have added 10 to both sides in step 2.

In step 1, when Callie distributed the One-half to the 8, she multiplied incorrectly.

Callie divided by 2 instead of multiplying by 2 in step 3.

Callie should have added 16 to both sides in step 2.

Answer:

Hence the probability that are already owned are 0.943620

Step-by-step explanation:

Given:

No fo character sequences using either letter or digits had not been claimed=94696

To find :

What is probability that letter are already claimed ?

Solution:

We know that there are 26 alphabets  and digits are 0,1,2.. 9

Hence total will be of 36.

Now we are going to Arrange the sequence for all possible values

as there 4 characters we get ,each of them with 36 possible values

=36*36*36*36

=36^4

=1679616.

Now we have a sequence with 94696 character and digits are not claimed .

Its probability

=94696/1679616

=0.05637.

So the required probability will be ,

P(claimed)=1- P(Not claimed)

= 1-0.056379

=0.943620

Hence the probability that are already owned are 0.943620

Answer:

[tex]A = 159.31\,ft^{2}[/tex]

Step-by-step explanation:

Let consider that both pyramid are simmilar. The surface area of the pyramid is directly proportional to the square of the height is:

[tex]A = (25.49\,ft^{2})\cdot \left(\frac{15\,ft}{6\,ft} \right)^{2}[/tex]

[tex]A = 159.31\,ft^{2}[/tex]

Answer:

$93.38

Step-by-step explanation:

To solve this, we simply multiple $373.50 by 25% to figure out how much Mr.Hall pays for health insurance each month. Don't forget that we need to change 25% to its decimal form (25% -> 0.25).

$373.50 x 0.25 = $93.38

Mr.Hall must pay $93.38 dollars a month for his health insurance.

Answer:

< lesser to

>greater to

Answer: < less than

> greater than

Step-by-step explanation: hope this helps!!!

Answer:

16 times

Step-by-step explanation:

Given:

Edgardo has a drink cooler that holds 4 gallons of water.

He is filling the cooler with a 1−quart container.

Question asked:

How many times will he have to fill the quart container to fill the cooler?

Solution:

Capacity of container = 1 quart

As we know:

1 quart = 0.25 gallon

Edgardo has to fill drink cooler having capacity of 4 gallons.

0.25 gallon is filled by filling the container = 1 time

1 gallon is filled by filling the container = [tex]\frac{1}{0.25}[/tex] times

4 gallons is filled by filling the container = [tex]\frac{1}{0.25}\times4=16\ times[/tex]

Thus, he will have to fill the quart container 16 times to fill the cooler.

Answer: the initial amount is $941.6

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

A = $1000

r = 1% = 1/100 = 0.01

n = 12 because it was compounded 12 times in a year.

t = 6 years

Therefore,.

1000 = P(1 + 0.01/12)^12 × 6

1000 = P(1 + 0.00083)^72

1000 = P(1.00083)^72

1000 = 1.062P

P = 1000/1.062

P = $941.6

Answer:

  54.2 mph

Step-by-step explanation:

Since the drivers leave at the same time and travel in directions 90° from each other, their separation speed can be found using the Pythagorean theorem. Let c represent Cynthia's average speed. Then (c-10) will represent Tim's average speed. Their combined separation speed is 70 miles per hour, so we can write ...

  70² = c² +(c -10)²

  4900 = 2c² -20c +100 . . . . eliminate parentheses

  c² -10c -2400 = 0 . . . . . . . . divide by 2; put in standard form

  (c -5)² -2425 = 0 . . . . . . . . . rearrange to vertex form

  c = 5 ±5√97 . . . . . . . . . . . . solve for c, simplify radical

  c ≈ 54.244 ≈ 54.2 . . . . . . . use the positive solution

Cynthia's average speed was 54.2 miles per hour.

Answer:

$9627.46

Step-by-step explanation:

-The amount after 19 years for a 6.5% compounded continuously is given by the formula:

[tex]A=Pe^{rt}[/tex]

Where:

A is the final amount after investment

P is the initial amount invested

r is the stated annual interest rate.

t is period of investment

#We then substitute our values in the equation to solve for A:

[tex]A=Pe^{rt}\\\\=2800e^{19\times 0.065}\\\\=9627.46[/tex]

Hence, the amount after 19 years is $9,627.46

Answer:

$364.8

Step-by-step explanation:

To find the net income, we subtract deductions from the gross income. Deductions mainly include federal taxes/PAYE, NHIF, NSSF, Morgage loans. Therefore expressed as

Net income= Gross income- Deductions

Given information

Gross income=$450

Deductions

$58.5+$26.7=$85.2

Net salary will be $450-$85.2=$364.8

Therefore, rhe net salary will be equivalent to $364.8

Answer:

The average weight of okapi  is 290 kg

The average weight of llama is 160 kg

Step-by-step explanation:

To solve the question, we are to resolve the word problem as follows;

Let the average weight of Okapi be X

The average weight of llamas be Y

X + Y = 450 and

3 Y = X + 190

Solving the above simultaneous equation, we have

X = 450 - Y

∴ 3·Y = 450-Y+190

4·Y =640

Y = 160 and X = 450 - 160 = 290

Therefore, the average weight of okapi  = 290 kg while the average weight of llama = 160 kg.

Answer:

D.

Step-by-step explanation:

Answer:

282°

Step-by-step explanation:

To find the length of VYX, use the Pythagorean theorem and set up an equation to solve for the length by squaring the lengths of the other sides and adding them together. Then, take the square root of the sum to find the length of VYX.

To find the length of VYX, we can use the Pythagorean theorem. In a right triangle, the square of the hypotenuse (VYX) is equal to the sum of the squares of the other two sides (VY and YX). Since we know VY (28 inches), we can solve for the length of VYX

Using the Pythagorean theorem: (VYX)2 = (VY)2 + (YX)2

Plugging in the values: (VYX)2 = (28)2 + (YX)2

Since the question asks for the length of VYX, we can take the square root of both sides to find the length of VYX: VYX = √[(28)2 + (YX)2]

https://brainly.com/question/28361847

#SPJ12

Answer:

The correct option is;

D) 62 in²

Step-by-step explanation:

Here we have from the drawing, the dimensions of the right rectangular prism are;

Height = 2 in.

Width = 5 in

Length = 3 in

Therefore the surface area is found as follows;

Surface area of right rectangular prism = 2 × Height × Width + 2 × Height × Length + 2  × Width × Length

Surface area of right rectangular prism = 2 × 2 × 5 + 2 × 2× 3+ 2  × 5× 3 = 20 + 12 + 30 = 62 in².

Answer:

42

Step-by-step explanation:

343-7 equals to 336

divide it by 8, for 8 buses, there would be 42 in each bus

Answer:

The Correct choice is: p(-0.5≤z≤0.5) .

Answer:

It's B on Edg

Step-by-step explanation:

I just took the test

Answer: i believe it's v=whl... is this correct?

Step-by-step explanation:

Answer:

84%

Step-by-step explanation:

Using the formula of z=(x-mean)/standard deviation. You get a z score of -1. Given the Empirival rule, 68% of all the values fall within 1 standard deviation. So the remaining 32% of values fall outside of this range. Since we have a negative 1, we only care about the lower half or 16%. In context of the problem this means that 16% of the all lizards live less than 2.5 years, so since the questions asks the opposite, we just subtract that value from 100%.  100-16=84

Answer: 3

Step-by-step explanation:

Nasim is making hot sauce. Nasim puts in chile peppers and tomatoes in a ratio of 1 to 3.

Assuming Nasim puts in 9 tomatoes, the number of chile peppers should she put will be:

Ratio of chile peepers to tomato= 1;3

Since she put 9 tomatoes, chile peppers= (1×9)/3 = 9/3 = 3.

For 1 chile peeper, there'll be 3 tomatoes.

For 3 chile pepper, thee will be 9 tomatoes.

Answer: She needs to add 3 chile peppers.

Step-by-step explanation:

The ratio of chile peppers to tomatoes is 1:3

this means that for each 3 tomatoes, she puts one chile pepper.

Then if she puts 9 tomatoes, this means that she puts 3 tomatoes 3 times.

And we know that for each 3 tomatoes she needs to add 1 chile pepper, then she needs to add 1 chile pepper 3 times:

3*1 = 3 chile peppers.

She needs to add 3 chile peppers.

Answer:

168 baskets

Step-by-step explanation:

i did it the dumb way and just did 3+5+7+9+11+13+15+17+19+21+23+25 = 168