In diagram below?FG bisects

Answer:

20π ft

Step-by-step explanation:

To find the circumference of the circle given its area, first find its radius.

[tex]\textcolor{steelblue}{\boxed{\text{Area of circle =}\pi {r}^{2} }}[/tex]

Substitute given area into the formula:

100π= πr²

Divide both sides by π:

100= r²

Square root both sides:

[tex]r = \sqrt{100} [/tex]

r= 10 ft

[tex]\textcolor{steelblue}{\boxed{\text{Circumference of circle = }2\pi {r}}}[/tex]

Since we have found the value of the radius, we can substitute r= 10 into the formula above to find the circumference.

Circumference of circle

= 2(π)(10)

= 20π ft

Answer:

24 Letters and 4 Postcards

Step-by-step explanation:

We have to set up a system of equations, since we have two unknown variables. Lets say postcards is the variable "x" and letters is the variable "y".

Our first equation will be the money spent: 0.33x + 0.49y = 13.08, this comes from knowing that it costs 0.33 dollars to mail a postcard and 0.49 dollars to send a letter.

The second equation is the total sent: x + y =28.

Now we need to solve for a single variable, let's do y (or letters). If we subtract y from both sides we get: x = 28 - y.

We can plug that into our first equatino to get: 0.33(28 - y) + 0.49y = 13.08.

If we multiply things out we get: 9.24 - 0.33y + 0.49y = 13.08, and now we have like terms. 9.24 + 0.16y = 13.08.

Subtract 9.24 from both sides to get: 0.16y = 3.84

Divide both sides by 0.16 to get: y = 24.

Now we can plug this into x + y = 28 to see that x= 4.

You could make sure this is correct by solving for x instead of y and do the same process.

Hope this helps.

Using a t-distribution, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.

It is found with the help of a calculator, having two inputs:

Hence, using a calculator, with 20 degrees of freedom, the critical t-value that corresponds to 95% confidence is t = 2.0860.

More can be learned about the t-distribution at https://brainly.com/question/16162795

Answer:

40+52

Step-by-step explanation:

Let's assume that all hours she worked were the first 35 hours of the week.

She would've made £22.80 x 35 = £798

So, she would've made 981.54 - 798 = 183.54 less than the actual amount

She is paid 15% more per hour after the first 35 hours -> She will get £26.22 per hour.

So, she work for 183.54 : 26.22 = 7(hours) after the first 35 hours

So in total, she worked for 35 + 7 = 42(hours).

Answer:

42 hours

We know she works at least 35 hours, so 35x22.80=798. This is her base pay without any extra hours.

981.54-798 =183.54. This is the amount she earnt for working extra hours. if we divide this by the rate she earns for extra hours (22.80x1.15=26.22), 184.54/26.22=7, we know she worked an additional 7 hours.

and 35 plus 7 = 42 :)

Answer:

b) one quarter hour

Step-by-step explanation:

every section is worth 5 minutes, there are three sections, which equals 15 minutes, 15 minutes is a one-quarter hour. hope this helps :)

Answer:

B

Step-by-step explanation:

it Is one quarter of an hour because they are exactly 15 minutes

Answer:

D

Step-by-step explanation:

1/2 hour -> 1/3 pool

multiply this by 2

1 hour -> 2/3 pool

so D 2/3 pool

The fraction of the pool that would be filled per hour at the given rate is: D. 2/3 of the pool.

A constant rate can be described as a quantity that changes steadlity over time.

The rate that the pool gets filled is given as:

1/2 hr = 1/3 of the water that would be filled in the pool

1 hr would be: 1/3 × 2 = 2/3

Therefore, the fraction of the pool that would be filled per hour at the given rate is: D. 2/3 of the pool.

Learn more about rate on:

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I think it's like 0.88, but I believe that's it rounded up.

Answer:  Reduce the expression, if possible, by cancelling the common factors

25223.52941176

Hoped this helped :)

Answer:

the decimal is 1.75 and  The percentage is 175%

Step-by-step explanation:

Answer:

C) 390

Step-by-step explanation:

Area of Blue:

18 × 25 = 450 in

Area of White:

6 × 10 = 60 in

450 - 60 = 390

Therefore, 390 sq in is the correct answer.

Answer:

so how do i find the earea

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

if half of it is 22, then a whole life is 44 days. 1/4 of 44 days is 11 days so its A

Answer:

the answer is A (11 days)

Step-by-step explanation:

Hope this helps you!

Answer:

Can’t really help since there is no tree diagram presented.

But if you want to know the probability just in this context lets put

Tails / total

even / total

Multiply the two

(Tails / total) * (even / total)

Answer: The bottom three: [tex]\frac{48}{-17}[/tex], [tex]\frac{-48}{17}[/tex], and -2 [tex]\frac{14}{17}[/tex]

Step-by-step explanation:

     The first option is not because the numerator and denominator are flipped.

     The second option is not because this one is positive while the one given is negative.

     The third option is equivalent.

     The fourth option is equivalent.

     The fifth option is equivalent because - 48 / 17 = -2 [tex]\frac{14}{17}[/tex] when turned into a mixed number.

Answer:

[tex]\frac{48}{-17}, \frac{-48}{17}, -2\frac{14}{17}[/tex] (the last 3 options)

Step-by-step explanation:
As long as the negative is in either the numerator or the denominator (if it is in both then it is positive because the negatives cancel out), the entire fraction will be negative, so both [tex]\frac{48}{-17}[/tex] and [tex]\frac{-48}{17}[/tex] work as answers. The last option is just a simplified version of the fraction.

Answer:

The simplified expression of (4-5r+8s)(5r-9) is

40r s-25r^2-72s+65r-36

(hope this helped)

The simplified expression of (4-5r+8s)(5r-9) is [tex]65r - 25r^2 + 9r + 40rs - 72s.[/tex]

The simplified expression of (4-5r+8s)(5r-9) step by step.

Understanding how to simplify expressions can be incredibly useful in algebra and will make solving equations much easier. By using the distributive property, we can multiply the terms inside the parentheses and then combine like terms to get the simplified expression.

To simplify the expression (4-5r+8s)(5r-9), we'll use the distributive property, also known as the FOIL method (First, Outer, Inner, Last). This property allows us to multiply each term in the first parentheses by each term in the second parentheses.

1. First, we multiply the term "4" in the first parentheses by each term in the second parentheses:

4 * 5r = 20r

4 * (-9) = -36

2. Next, we move to the second term in the first parentheses, "-5r," and multiply it by each term in the second parentheses:

-5r * 5r = -25r²

-5r * (-9) = 45r

3. Lastly, we move to the third term in the first parentheses, "8s," and multiply it by each term in the second parentheses:

8s * 5r = 40rs

8s * (-9) = -72s

Now, we have all the resulting terms:

20r - 36 - 25r² + 45r + 40rs - 72s.

To simplify further, we combine like terms. Like terms have the same variable(s) raised to the same power:

20r + 45r = 65r

-36 + 45r = 9r

So, the simplified expression is:

65r - 25r² + 9r + 40rs - 72s.

In mathematical terms, we applied the distributive property to multiply each term in the first parentheses by each term in the second parentheses. Then, we combined like terms to obtain the final simplified expression, 65r - 25r² + 9r + 40rs - 72s.

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Answer:

one gadget costs $15.80

Step-by-step explanation:

Let w = cost of one widget

Let g = cost of one gadget

Given:

⇒ 5w + 3g = 109.9

Given:

⇒ w + 4g = 75.7

Rewrite  w + 4g = 75.7  to make w the subject:

⇒ w = 75.7 - 4g

Substitute into  5w + 3g = 109.9  and solve for g:

⇒ 5(75.7 - 4g) + 3g = 109.9

⇒ 378.5 - 20g + 3g = 109.9

⇒ 378.5 - 109.9 = 20g - 3g

⇒ 268.6 = 17g

⇒ g = 15.8

Therefore, one gadget costs $15.80

To find the cost of one widget, substitute the found value for g into
w = 75.7 - 4g and solve for w:

⇒ w = 75.7 - 4(15.8)

⇒ w = 75.7 - 63.2

⇒ w = 12.5

Therefore, one widget costs $12.50

Answer:

No

Step-by-step explanation:

→ Substitute the x value into the equation

-9 × 1 + 1

→ Simplify

-8

→ Compare to given y value

0 ≠ -8

Answer:

no

when you substite the values you don't get the same values

Answer:

1.75 = 1 3/4

Step-by-step explanation:

1 3/4 = 1.75

Answer:

=

Step-by-step explanation:

-1.75 is the same as -1 3/4

Answer:

Step-by-step explanation:

4x + y = 8

x + 3y = 8

[tex]Here, \dfrac{a_{1}}{a_{2}}=\dfrac{4}{1}\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{1}{3}\\\\\\\dfrac{a_{1}}{a_{2}} \neq \dfrac{b_{1}}{b_{2}}[/tex]

So, this system of equations is consistent and independent.

-4x + 6y = -2

2x - 3y = 1

[tex]\dfrac{a_{1}}{a_2}}=\dfrac{-4}{2}=\dfrac{-2}{1}\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{6}{-3}=\dfrac{-2}{1}\\\\\\\dfrac{c_{1}}{c_{2}}=\dfrac{-2}{1}\\\\\\\dfrac{a_{1}}{a_{2}}=\dfrac{b_{1}}{b_{2}}=\dfrac{c_{1}}{c_{2}}[/tex]

So, the system of linear equations are consistent and dependent.

5x -2y = 4

5x - 2y = 6

[tex]\dfrac{a_{1}}{a_{2}}=\dfrac{5}{5}=1\\\\\\\dfrac{b_{1}}{b_{2}}=\dfrac{-2}{-2}=1\\\\\\\dfrac{c_{1}}{c_{2}}=\dfrac{4}{6}=\dfrac{2}{3}\\\\\\ \dfrac{a_{1}}{a_{2}}=\dfrac{b_{1}}{b_{2}} \neq \dfrac{c_{1}}{c_{2}}[/tex]

This system of equations is inconsistent.

Answer:

A(11:15)

Step-by-step explanation:

3+3 is 6

then Is 6+2 so is 8 then ir repeats ats 3 Like 3 6 8 and then 11

Answer:

Below

Step-by-step explanation:

According to a website, ebra

Solve for

N

by cross multiplying.

N

=

5

Tap to view steps...

Solve for s

Isolate the variable by dividing each side by factors that don't contain the variable.

s

=

8

r

−

5

t

Tap to view steps...

Solve for x

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

x

>

−

6

Interval Notation:

(

−

6

,

∞

)

Tap to view steps...

Solve by Substitution

Move all terms that don't contain

x

to the right side and solve.

x

=

9

2

−

y

2

Tap to view steps...

3/31/2022 4:07 PM

How can I help you?

Tap to view tutorial...

Find the Function

Find the function by taking the integral of the derivative.

G

(

x

)

=

5

2

x

2

−

x

+

C

Tap to view steps...

How was this solution?

Tap to rate...

Find the Function

I am unable to solve this problem.

Tap for examples...

Tired of typing? Download the app to take a picture of your problems!

Find the Function Rule

The chosen topic is not meant for use with this type of problem. Try the examples below.

x

q

(

x

)

1

1

2

2

3

3

4

4

x

q

(

x

)

1

3

2

6

3

11

4

18

x

q

(

x

)

1

2

9

162

2

8

8

128

3

18

I really don't know I'm not big on school subjects

Answer:

3

Step-by-step explanation:

29 - 8 = 21

21 / 7 = 3

Therefore, the answer is 3

Answer:

wouldnt it be 3? cause 3*7=21 then add 8 thats 29

Step-by-step explanation:

Answer=12

Step-by-step explanation:

The area of a rectangle is h×b.

h=11

11×b=132

b=132/11=12 units

The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is 32.22%

Given here,

Mean (μ) = 3 years 6 months

= (3×12)+6 = 42 months

Standard deviation (σ) = 9 months

We will find the z-score using the formula: z = (X - μ)/σ

Here X₁ = 2 years 3 months

= (2×12)+3 = 27 months

and X₂ = 3 years 3 months

= (3×12)+3 = 39 months

So, z (X₁ =27) =

and z (X₂ =39) =

According to the standard normal table,

P(z> -1.666...) = 0.0485 and P(z< -0.333...) = 0.3707

So, P(27 < X < 39)

= 0.3707 - 0.0485

= 0.3222

= 32.22 % [Multiplying by 100 for getting percentage]

The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is approximately 0.279 or 27.9%.

A normal distribution is a continuous probability distribution that describes a symmetric, bell-shaped curve of data.

It is also known as a Gaussian distribution or a bell curve.

The normal distribution is used to model many real-world phenomena, such as measurements of height, weight, blood pressure, and IQ scores, among others.

We have,

To solve this problem, we first need to standardize the values of 2 years 3 months and 3 years 3 months, using the mean and standard deviation of the distribution.

The mean of the distribution is 3 years 6 months, which is equivalent to 3.5 years, and the standard deviation is 9 months, which is equivalent to 0.75 years.

The standardized value of 2 years 3 months is:

z1 = (2 + 3/12 - 3.5) / 0.75 = -1.33

The standardized value of 3 years 3 months is:

z2 = (3 + 3/12 - 3.5) / 0.75 = -0.33

We can now use the standard normal table to find the probability of a randomly selected hard drive lasting between 2 years 3 months and 3 years 3 months.

P (-1.33 ≤ Z ≤ -0.33) = P(Z ≤ -0.33) - P(Z ≤ -1.33)

From the standard normal table, we find that:

P(Z ≤ -0.33) ≈ 0.3708

P(Z ≤ -1.33) ≈ 0.0918

Now,

P(-1.33 ≤ Z ≤ -0.33) ≈ 0.3708 - 0.0918 = 0.279

Thus,

The probability of a randomly selected hard drive from the company lasting between 2 years 3 months and 3 years 3 months is approximately 0.279 or 27.9%.

Learn more about normal distribution here:

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Answer:

Step-by-step explanation:

[tex]d=2\sqrt{\frac{A}{\pi}} =2\sqrt{\frac{616}{\pi} }[/tex]≈[tex]28.00563cm[/tex]

rounding 28.00563 to 28.

So hence, your answer is 28cm

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Answer:

28

Step-by-step explanation:

area of a circle

[tex]\pi{r}^{2} [/tex]

616=3•142×r×r

616/3•142=r^2

196=r^2

r=√196

r=14

d=2r

d=2×14

d=28

Answer:

D. The trinomial is equivalent to (x+2)(x-1)

Step-by-step explanation:

1. Factor out the common term x:

= x(x^2+x-2)

2. Factor the equation:

= x(x - 1)(x + 2)

From this, we can see that because the equation was factorable, it is not prime. Option B is not completely factored, so it is incorrect. The final ordered pair shown in Option C is has (x + 1), when it should be (x - 1), so it is also incorrect. Option D is the true statement.

Answer:

[tex]m\angle L = 100^{\circ}[/tex].

[tex]m\angle J = 80^{\circ}[/tex].

[tex]m\angle M = 100^{\circ}[/tex].

Step-by-step explanation:

Since segment [tex]JM[/tex] is parallel to segment [tex]KL[/tex], quadrilateral [tex]JKLM[/tex] is a trapezoid.

Segment [tex]JK[/tex] and segment [tex]LM[/tex] (the two legs of this trapezoid) are equal in length. Hence, trapezoid [tex]JKLM[/tex] would be an isoscele trapezoid. By symmetry, [tex]m\angle L = m \angle K = 100^{\circ}[/tex].

Line [tex]JK[/tex] traverses line [tex]JM[/tex] and line [tex]KL[/tex]. [tex]\angle J[/tex] and [tex]\angle K[/tex] are a pair of consecutive interior angles as they are both between [tex]JM\![/tex] and [tex]KL\![/tex] and are on the same side of the traversal, [tex]JK\![/tex].

Since line [tex]JM[/tex] is parallel to line [tex]KL[/tex], any pair of consecutive interior angles between these two lines would add up to [tex]180^{\circ}[/tex] (supplementary angles.) Thus, [tex]\angle J[/tex] and [tex]\angle K[/tex] are supplementary angles; [tex]m\angle J + m\angle K = 180^{\circ}[/tex].

Since [tex]m\angle K = 100^{\circ}[/tex], [tex]m\angle J = 180^{\circ} - m\angle K = 180^{\circ} - 100^{\circ} = 80^{\circ}[/tex].