A large clock on a county courthouse has a circumference of about 25 feet. The minute hand extends from the center of the clock to the edge of the clock. How long is the minute hand?

Answer:

1/6 of a yard

Step-by-step explanation:

Length of the board = 5/6 yard

He needs to cut the board into 5 equal sections.

Length of each section = length of the board ÷ number of sections

= 5/6 ÷ 5

= 5/6 × 1/5

= (5*1)/(6*5)

= 5/30

= 1/6

Length of each section = 1/6 of a yard

Answer:

40m^2

Step-by-step explanation:

Hope it helps!!:)

Answer:

8

Step-by-step explanation:

This is a 45-45 traingle which mean that the two sides that aren't the hyptonouse are equal (because their angles are equal)

We will let x equal the length of one of the sides

we have

x²+x²=(4√2)²

2x²=32

x²=16

x=4

this means that the length of the two missing sides are 4

Now using the area of a traingle formula we can solve for the area

A=.5*b*h

.5*4*4=8

.5*4*4

Answer:

Its B

Step-by-step explanation:

Answer:

The answer is 24cm²

Step-by-step explanation:

The triangle area is given by A*½ and we get 4*2*½=6

Rectangle one is given as L*W and we solve 3*4= 12

Rectangle two is solved as L*W as well so we solved 1.5*4= 6

and we get 24cm²

Answer:

0.68

Step-by-step explanation:

Total number of trial = 100

No. of times red appeared ( favorable number) = 68

experimental probability of landing on red

=  No. of times red appeared/Total number of trial

= 68/100 = 0.68

hmm

the question doesn't look clear

Answer:

16 cm

Step-by-step explanation:

We're to find the length of RT.

Apply the leg rule which is given as,

Hypotenuse/leg = leg/part

Hypotenuse = PR = 7.2 + 12.8 = 20 cm

Leg = RT

Part = 12.8 cm

Plug in the values

20/RT = RT/12.8

Cross multiply

RT*RT = 20*12.8

RT² = 256

RT = √256

RT = 16 cm

An exponential function for the amount in the account after T years if the interest of 8% is compounding annually on initial amount 1700 is: P_T = 1700(1.08)^T

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Instead of calculating the interest on the initial amount, the compound interest repeats calculating interest on (old amount + interest to be paid).

For this case, we're specified that:

Let P be the inital amount, and r be the rate of interest compounding per unit of time (in decimal)

Let [tex]P_t[/tex] be the amount after t unit of time(same unit as the interest).

Then after 1 year, the new amount would be:
[tex]P_{t+1} = P_t + 100r \%\text{ of }P_t}\\P_{t+1}= P_t + P_t \times r\\P_{t+1} = P_t(1+r)[/tex]

Thus, we get:
[tex]P_t = P_{t-1}(1+r) = P_{t-2}(1+r)(1+r) = P_{t-2}(1+r)^2\\\\P_t = P_{t-t} (1+r)^t = P_0(1+r)^t[/tex]

where P₀ is the initial amount (as amount at t = 0 is initial amount)

Thus, we get:

[tex]P_t = P(1+r)^t[/tex]

Here, putting P = 1700, r = 0.08, and t = T, we get:

[tex]P_T = 1700(1.08)^T[/tex]

Thus, an exponential function for the amount in the account after T years if the interest of 8% is compounding annually on initial amount 1700 is: [tex]P_T = 1700(1.08)^T[/tex]

Learn more about compound interest here:

https://brainly.com/question/11897800

Answer:

yes

Step-by-step explanation:

Its C I think

Step-by-step explanation:

turn the line that shows twelve and make it match the line that shows X and then the first line will be shorter

The value of x is 15.

What is Right triangle?

A triangle in which one of the interior angle is 90° is called a right triangle.

Given that;

Sides of a right triangle are 12, 9 and x.

Now,

By the Pythagoras theorem;

x² = 12² + 9²

x² = 144 + 81

x² = 225

x = √225

x = 15

Thus, The value of x is 15.

Learn more about the right triangle visit:

https://brainly.com/question/15249087

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Answer:

1.What is the y intercept of the function?

y-coordinate when x = 0, take from the table.

2.What is the first difference?

Difference of y-values. This is the slope

3.Write an equation to represent the function given in the table

Use the first difference and the y-intercept: b = 5, m = 2

Answer:

[tex]Mean = 0.36[/tex]

[tex]SD = 0.5817[/tex]

[tex]P(x=3) = 0.003588[/tex]

Step-by-step explanation:

Given

Let

A = Event of being a universal donor.

So:

[tex]P(A) = 0.06[/tex]

[tex]n = 6[/tex]

Solving (a): Mean and Standard deviation.

The mean is:

[tex]Mean = np[/tex]

[tex]Mean = 6 * 0.06[/tex]

[tex]Mean = 0.36[/tex]

The standard deviation is:

[tex]SD = \sqrt{np(1-p)}[/tex]

[tex]SD = \sqrt{6*0.06*(1-0.06)}[/tex]

[tex]SD = \sqrt{0.3384}[/tex]

[tex]SD = 0.5817[/tex]

Solving (b): P(x = 3)

The event is a binomial event an dthe probability is calculated as:

[tex]P(x) = ^nC_x * p^x * (1-p)^{n-x}[/tex]

So, we have:

[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^{6-3}[/tex]

[tex]P(x=3) = ^6C_3 * 0.06^3 * (1-0.06)^3[/tex]

[tex]P(x=3) = 20 * 0.06^3 * (1-0.06)^3[/tex]

[tex]P(x=3) = 0.003588[/tex]

Step-by-step explanation:

[tex] {x}^{2} \times (3 {x}^{3} + 15) \\3 {x}^{2} + 15 {x}^{2} [/tex]

hope it helps

[tex] \huge \frak \green{question}[/tex]

Multiply the polynomials :-

x² ( 5x³ - 2x³ + 15)

[tex] \huge \frak \green{solution}[/tex]

→ x² ( 5x³ - 2x³ + 15)

→ x² × (3x³ + 15)

→ 3x² + 15x²

This can be further solved as :-

→ 3x² + 15x²

→ 18x²

[tex] \huge \frak \red{answer}[/tex]

18x²

Answer:

d no association

Step-by-step explanation:

Answer:

t-value = 1.690

Step-by-step explanation:

We are given;

Sample size; n = 36

DF = n - 1

DF = 36 - 1

DF = 35

Confidence level = 90%

However, from the first table I attached, we see that the critical significance level of a 90% Confidence level is 0.05

Thus, in the second table, looking at a DF of 35 and significance level of 0.05, we have a critical t-value = 1.690

Answer:

I don't know spanish but 25% of 80= 20 and 15% of 35.00 is 5.25

Answer:

Step-by-step explanation:

If parallel lines don't intersect, then there can't be any solutions. An intersection represents a solution.

If this is a true false question, the statement is false.

Answer:

b

Step-by-step explanation:

he will be negatives because he has very little money

Answer:

138 feet

Step-by-step explanation:

plug "3" into the expression by replacing "t" with "3"

-16t^2+83t+33

-16(3)^2+83(3)+33 (remember PEMDAS)

=-16(9)+249+33

=-144+282

=138 (I hope this helps)

Answer:

D

Step-by-step explanation:

-3x + 4y = 16

y = 3/4x +4 A is a no

B are perpendicular so No

8x -2y = 20

y = 4x -10 C perpendicular to No

-3x +4y = 18

y= 3/4x + 18/4 yes slopes are the same so parallel

Answer:

the third one

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

4y^3 + 4x^2 - 2

Step-by-step explanation:

Sort out these terms following powers of x and y:

First, y terms:

 6y^3 - 2y^3 => 4y^3

Next, constants:

 7 - 7 - 2 => -2

Next, x^2 terms:

 6x^2 - 2x^2 => 4x^2

Now write out the modified expression, using the "combined terms" results given above:

4y^3 + 4x^2 - 2

Answer:

Look at the image.

Step-by-step explanation:

Answer:

Not sure about the second one, but the first is x=44

Answer:

3/2

Step-by-step explanation:

My reasoning is that the sum of the numbers in the left is equal to the sum of the numbers in the right.

Therefore 6=2y+3

2y=6-3

2y=3

y=1.5 or 1and a half which is equivalent to 3/2

Answer:

i think is b

Step-by-step explanation:

Answer:

C: 2

Step-by-step explanation:

the numerator equals 8 and the denominator equals 2, so its (8/2)^1/2

which all equals 2