Angles in circle solve for each variable

Answer:

1/2

Step-by-step explanation:

quadratic equation is ax²+bx+c=0

Products of roots is c/a

Sum of roots is -b/a

On comparing the above equation with general equation we have

a=1

b=-(3k)

c=-(k+2)

Now it is given that sum of roots and product of roots is equal

So,

-b/a=c/a

-b=c

-[-(3k)]=-(k+2)

3k=-k-2

3k+k=-2

4k=-2

k=-1/2

Answer:

30 min

Step-by-step explanation:

1500/50=30

Answer:

30 minutes

Step-by-step explanation:

1500 words/50 words per minute = 30 minutes

.Step-by-step explanation:

Answer: A solid 4% chance of picking a yellow

brainliest plz

Step-by-step explanation: We first should combine 300 and 75 because those are the total values of the candies in the bag. After, we should divide the different candies by the total amount of them getting the numbers .8 for red and .2 for yellow. Since the question is that the yellow occurs but not the red and you can miss the bag you would want to calculate what the probability would be to have B happen but not A. The equation for that is:

(1 - P(A)) × P(B)  

where P(A)=.8 and P(B)=.2

plugging in all things it would be

(1-.8)*.2

which equals .04 or 4%

Answer:

4,700

Step-by-step explanation:

4 is not big enough to round the 7 up to a 8

Answer:

1/60

Step-by-step explanation:

50+30+40=120 (take all the students and add them together.)

2/120 (you only want 2 seventh graders)

simplified is 1/60

The probability that Quincy draws two-seventh-grade students is  0.061, or 6.1%.

It is a branch of mathematics that deals with the occurrence of a random event.

There are a total of 50 + 30 + 40 = 120 students who bought tickets for the raffle.

Quincy draws two names without replacement, which means that the total number of possible outcomes is given by the combination formula.

Total number of outcomes = C(120, 2) = 7,140

Now, we need to find the number of outcomes in which Quincy draws two-seventh-grade students.

Let us calculate the number of ways in which Quincy can choose 2 students from the 30 seventh-grade students

Number of ways to choose 2 seventh-grade students = C(30, 2) = 435

Therefore, the probability of Quincy drawing two-seventh-grade students is:

Probability = Number of desired outcomes / Total number of outcomes

Probability = C(30, 2) / C(120, 2)

Probability = 435 / 7,140

Probability ≈ 0.061

Hence,  the probability that Quincy draws two-seventh-grade students is  0.061, or 6.1%.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

x < 9

_

Step-by-step explanation:

I am not sure if this is correct. but i think the answer is x with closed circle so that will mean underlined.

Answer:

B) 18

Step-by-step explanation:

6 out of 18 is 6/18 = 1/3

1/3 x 54 = 18

Step-by-step explanation:

D.. all points on blue are translated 7 units downwards

[tex]\frac{n}{3} -5=13\\\frac{n}{3} =18\\n=54[/tex]Answer: n=54

Step-by-step explanation:

[tex]\frac{n}{3} -5=13\\\frac{n}{3} =18\\n=54[/tex]

Answer:  n/3 - 3 = 13

so its 48  your welcome

Step-by-step explanation:

Answer:

396 in.^2

Step-by-step explanation:

The cushion is shaped like a cylinder with 14 inch diameter and 2 inch height.

We need to find the surface area of the cylinder.

diameter = 14 in.

radius = diameter/2 = 7 in.

height = 2 in.

A = 2(pi)r^2 + 2(pi)rh

A = 2(3.14159)(7 in.)^2 + 2(3.14159)(7 in.)(2 in.)

A = 395.84 in.^2

A = 396 in.^2

The amount of fabric that Maggie will need for manufacturing the cushion is 395.84 sq. inches.

Supposing that a considered cylinder has radius of 'r' units and height 'h' units, then the surface area of that cylinder would be:

[tex]S = \pi r^2 + \pi r^2 + 2\pi r h = 2\pi r(r + h) \: \rm unit^2[/tex]

The table's diameter is of 14 inches. That means, its radius is of 14/2 = 7 inches.

The cushion is going to have 2 inches extra from all sides, so approximately, it is going to be like a cylinder with radius 7 inches and height 2 inches.

The fabric needed for making cushion (from outer side only) in terms of area is same as the surface area of cylinder with radius of 7 inches and height of 2 inches.

Thus, the amount of fabric that Maggie will need for manufacturing the cushion is [tex]S = 2\pi r(r + h) = 2\pi \times 7(7 + 2) \approx 395.84 \: \rm in^2[/tex]

Learn more about area of a circle here:

https://brainly.com/question/13056790

Answer:

the answer is D (the last answer)

Step-by-step explanation:

organism a is a plantae because its autotrophic

organism b is fungi cause its hetrotrophic

Answer:

I think D is correct

Step-by-step explanation:

Because the features of organism A belongs to kingdom Plantae And the features of organism B belongs to kingdom Fungi

Answer:

-(1/5)

Step-by-step explanation:

Well slope is basically

(y2-y1) / (x2-X1)

Subsitute in those numbers and solve, you’d get -(1/5)

Answer:

(35 * 3)

Step-by-step explanation:

Given the box with dimension : 3ft * 7ft * 5ft

The volume of the box is :

Length * width * height

(3feets * 7 feets * 5 feets) = 3 * 7 * 5 = 105 feet³

From the options given, the expression which could be used to correctly find the volume would be :

(7 * 5) * 3 = 35 * 3 = 105 ft³

Answer:

a = 6.7

Step-by-step explanation:

a² + b² = c²

a² + 6² = 9²

a² + 36 = 81

a² = 45

[tex]\sqrt{a^2} =\sqrt{45}[/tex]

a = 6.7

Answer: there are no like terms

I'm not sure if you have the wrong equation but there are no like terms

Answer:

84

Step-by-step explanation:

do you want the solution?

Answer:

x=4

Step-by-step explanation:

To find x, start with the equation

(7x-5)=33 because you need the two angles to equal each other

7x=28 next subtract 5 from 33 following the rules of PEMDAS

x=4 now you will end up with x=4, after dividing 28 by 4.

Answer:

C

Step-by-step explanation:

IQR means interquartile range.

first, lets organize the numbers in ascending form.

21, 23, 25, 29, 30, 31, 33, 34

the median, or the middle number is between 29 and 30.

we need to use the method Q3-Q1

find the median of the two halves.

Q3 is 32 (between 31 and 33) and Q2 is 24 (between 23 and 25)

32 - 24 = 8

the answer is 8

Answer:

5a(a + 2)

Step-by-step explanation:

Given

(3a + 1)² - 4a² + 4a - 1 ← expand factor using FOIL

= 9a² + 6a + 1 - 4a² + 4a - 1 ← collect like terms

= 5a² + 10a ← factor out 5a from each term

= 5a(a + 2)

Answer:

Part A: y = 3x

Part B: The relationship of y to x is y is 3 times as much as x.

Part C: (0,0), (1,3), (2,6), (3,9), (4,12)

Step-by-step explanation:

Part A: The product of x and 3 (3 times x) is (equals) y. So we can write this linear equation as y = 3x.

Part B: The linear equation is a representation of the relationship between y and x. Y is equivalent to three times x.

Part C: To create solutions to the linear equation, simply plug in a value of x to output a y.

x = 0 -> y = 3(0) = 0; (0,0)

x = 1 -> y = 3(1) = 3; (1,3)

x = 2 -> y = 3(2) = 6; (2,6)

x = 3 -> y = 3(3) = 9; (3,9)

x = 4 -> y = 3(4) = 12; (4, 12)

Cheers.

Answer:

144

Step-by-step explanation:

Sum of interior angles:

180(n-2)

180(10-2)  

1440

Measure of each interior angle:

1440/10=144

Answer:

mABC = 110

Step-by-step explanation:

Answer:

a direct variation is a relation that is of the form y = mx

a partial variation is is a relation that is of the form y = mx+b

Answer:

Step-by-step explanation:

To solve this problem, first, you have to isolate the value of x from one side of the equation.

[tex]\sf{4|0.5x-2.5|=0}[/tex]

First, divide by 4 from both sides of an equation.

[tex]\sf{\dfrac{4|0.5x-2.5|}{4}}=\dfrac{0}{4}[/tex]

Solve.

|0.5x-2.5|=0

0.5x-2.5=0

x=5

Therefore the correct answer is x=5.

Answer:x=5 nice day

Step-by-step explanation:I now did this

Answer:

Step-by-step explanation:

Slope of AC= (a-0)/(a-0) = 1

Slope of BD = (0-a)/(a-0) = (-a)/a =-1

Slope of AC x Slope of BD =1 x -1 = -1

Therefore AC perpendicular to BD

Answer:

(10, 5)

Step-by-step explanation:

The circle is located at (10, 5)

Answer: 56

Step-by-step explanation:

Let the number of $5 be x

Let the number of $2 be y.

Based on the information given, we can form an equation as:

x + y = 128 ........ i

5x + 2y = 424 ....... ii

Multiply equation i by 2

Multiply equation ii by 1

2x + 2y = 256 ...... iii

5x + 2y = 424 ....... iv

Subtract iii from iv

3x = 168

x = 168/3

x = 56.

Therefore, there were 56 $5 bills.