A circle is placed in a square with a side length of 10 mm, as shown below. Find the area of the shaded region.
Use the value 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.

Answer:

Step-by-step explanation:

n = nickels

d = dimes

q = quarters

1)  n + d + q = 39

n+d = q - 3

Translate to:  2)   n + d - q = -3

.05n + .1d + .25q = 6.7   amount of each coin times the number of coins must add to 6.7

Multiply both sides by 20...

3)  1n + 2d + 5q = 134

Combine 1) & 2)

n + d + q = 39

n + d  - q = -3

Add together

2n + 2d = 36

Divide by 2:

4)  n + d = 18

Combine 1) and 3)

n + d + q = 39         Multiply by -5 =>  -5n -5d -5q = -195

n + 2d + 5q = 134                              n + 2d + 5q = 134

Add together->                                 5)   -4n - 3d  = -61

Combine 4) and 5)

  n + d = 18   Multiply by 4 =>  4n + 4d = 72

-4n - 3d = 61                          -4n - 3d = -61

Add:                                               d = 11

11 dimes...

Plug that into 4)

n + 11 = 18

n = 18-11 = 7 nickels.

Plug that into 1.

n + d + q = 39

7 + 11 + q = 39

18 + q = 39

q = 39-18 = 21 quarters

21 quarters, 7 nickels, and 11 dimes.

21(.25) + 7(.05) + 11(.1) = 5.25 + .35 + 1.1 = 5.6 + 1.1 = 6.7   Check.

Answer:

X° is A=D116°

Step-by-step explanation:

Answer:

let

m = the speed of Mattie

d1 = 180 mi the distance Mattie traveled

p = the speed of the plane

d2 = 630 mi the distance the plane traveled

the speed of the plane was 150 mph faster than the speed of the car

p = m + 150

since speed = distance/time => time = distance/speed

d1/m = d2/p

180/m = 630/p cross multiply

180p = 630m divide both sides by 90

2p = 7m

by solving the system of equations

p = m + 150

2p = 7m

we find

p = 210 mph

The speed of the plane was 210 mph

Answer:

soda = 10

burger = 5

fries = 2

5 + 2 x 10 = 25

Step-by-step explanation:

brainliest?

Answer:

it 50

Step-by-step explanation:

Answer:

The answer (I think) is 50.

Step-by-step explanation:

I'm a little cautious, just cause because this question seems so easy.‍♀️

51 is closest to 50, so 51 rounded to the nearest tenth is 50.

Could I be marked as Brainliest please???

Answer: 3526.5

Step-by-step explanation: 2500(1+0.035)^10

The given fractions are plotted on number line as given below.

A number line is a visual representation of numbers on a straight line. This line is used to compare numbers that are placed at equal intervals on an infinite line that extends on both sides, horizontally or vertically.

The given fractions are 7/8 and [tex]2\frac{1}{4}[/tex].

To plot fractions on the number line, follow the steps given below:

Step 1: Draw a number line of a suitable length.

Step 2: If the given fraction is a proper fraction, then mark points 0 and 1 on the number line. Or, if it is an improper fraction, then first convert it into a mixed fraction, and then mark two integers between those the given fraction lies.

Step 3: Draw an equal number of parts of the numbers marked in step 2 which will be equal to the denominator of the fraction.

Step 4: Starting from the left point, count forward the number of parts shown by the numerator.

Step 5: Mark the point on the line.

Hence, the given fractions are plotted on number line as given below.

Learn more about the number line here:

https://brainly.com/question/13425491.

#SPJ2

Answer:

the answer is B so it's 12

Answer:

.75

Step-by-step explanation:

Conditonal probability formula:

A|B= (A∩B)/B

let NH= Not heart

Let F= Face

NH|F= NH∩F/F

not hearth and face is 9

face is 12

9/12=.75

Answer: 5

Step-by-step explanation:

Constants are numbers without a variable

Answer:

5 is constant term

Step-by-step explanation:

Answer:

the ans is 21 hope it may help u

Step-by-step explanation:

g = 6

x=6

x= 3x + 3

x = 3 × 6 +3

x = 18 + 3

x= 21

Answer:

All of the questions?

Step-by-step explanation:

Answer:

i am not downloading this

Step-by-step explanation:

Answer:

1,814,400

Step-by-step explanation:

the formula would be: nPr / x_1 ! x_2!....

since there are 2 O's and it is a 10-LETTER ARRANGEMENT, the equation would now be:

10P10 / 2!

10P10 would simplify down to 10! so you would have :

10! / 2!

if you simplify this above: you would get 1,814,400

Answer:

We determined that the 10th figure will have 45 shaded squares. That means 100 – 45 = 55 squares will be unshaded

Step-by-step explanation:

hope this helps

Answer:

I can't see the image but to help the formula is volume=LENGTH x Width x Height :)

Step-by-step explanation:

Answer:

35%

Step-by-step explanation:

[tex] \frac{56}{160} = \frac{7}{20} = 0.35 = 35\%[/tex]

Answer:

Step-by-step explanation:

∠A = 90° because AC is diameter of the circle P.

Since ABC is right triangle and ∠A is 45°, the remaining angle is also 45°:

Answer:

The 24 because it is suposed to cost 6.76 and it cost 5.90.

Answer:

https://rr.noordstar.me/83819a0f

Answer: B

Step-by-step explanation:

I didn't waste time looking at if the data was Symmetric or skewed, because A, C and D are all false statements:

A - If it's skewed Mean wouldn't be used

C - If it's Symmetric IQR wouldn't be used

D - If it's skewed Standard Deviation wouldn't be used

Answer:

14 inches

Step-by-step explanation:

Since the rectangular prism has a square base, we know that the width and length are equal.

Using the formula for calculating the volume of a rectangular prism, we can set up an equation:

(width^2)*height = 980 cubic inches or

(width^2)*5 in. = 980 cubic inches, simplify the equation by dividing each side by 5 inches, and the result is:

width^2 = 196 sq.in., simply by taking the square root of each side of the equation, and the result is:

√width (inches) = √196 square inches = width = 14 inches

each side of the prism's base is 14 inches

Answer:

980 in

Step-by-step explanation:

Answer:B half of the circumference

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

≈ 634

Step-by-step explanation:

n = 847(1 * .07)^4

n = 847(0.93)^4

n = 633.60005247

n ≈ 634

9514 1404 393

Answer:

  a = 4

  b = 2√3

Step-by-step explanation:

The side lengths of a 30°-60°-90° right triangle are in the ratio 1 : √3 : 2.

The shortest side in the given triangle is 2, so we can multiply by 2 to see the ratios are ...

  2 : 2√3 : 4 = 2 : b : a

  b = 2√3

  a = 4

Option C. The area ≈ 706.86

Step-by-step explanation:

Table A

Blue Black White Silver Red

Vehicle Blue Vehicle Black Vehicle White Vehicle Silver Vehicle Red Vehicle

hope it is helpful to you

Answer:

a) 0.4772 = 47.72% probability that the average is between 1,142 and 1,150.

b) 0.0228 = 2.28% probability that the average is greater than 1,158.

c) 0 = 0% probability that the average is less than 950.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

A certain type of automobile battery is known to last an average of 1,150 days with a standard deviation of 40 days.

This means that [tex]\mu = 1150, \sigma = 40[/tex]

Sample of 100:

This means that [tex]n = 100, s = \frac{40}{\sqrt{100}} = 4[/tex]

(a) The average is between 1,142 and 1,150.

This is the pvalue of Z when X = 1150 subtracted by the pvalue of Z when X = 1142. So

X = 1150

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{1150 - 1150}{4}[/tex]

[tex]Z = 0[/tex]

[tex]Z = 0[/tex] has a pvalue of 0.5

X = 1142

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{1142 - 1150}{4}[/tex]

[tex]Z = -2[/tex]

[tex]Z = -2[/tex] has a pvalue of 0.0228

0.5 - 0.0228 = 0.4772

0.4772 = 47.72% probability that the average is between 1,142 and 1,150.

(b) The average is greater than 1,158.

This is 1 subtracted by the pvalue of Z when X = 1158. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{1158 - 1150}{4}[/tex]

[tex]Z = 2[/tex]

[tex]Z = 2[/tex] has a pvalue of 0.9772

1 - 0.9772 = 0.0228

0.0228 = 2.28% probability that the average is greater than 1,158.

(c) The average is less than 950.

This is the pvalue of Z when X = 950. So

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{950 - 1150}{4}[/tex]

[tex]Z = -50[/tex]

[tex]Z = -50[/tex] has a pvalue of 0

0 = 0% probability that the average is less than 950.

Answer:

( x - 5 )² = 75

Step-by-step explanation:

We need to convert the given equation in

So for that , let's complete the square of the given quadratic equation .

=> x² - 3x = 7x - 30

=> x² -3x - 7x + 30 = 0

=> x² - 10x + 30 = 0

=> x² - 2(5)x + 30 = 0

=> x² - 2(5)x +5² -30 = 5²

=> x² - 2(5)x + 5² = 25 +30

=> ( x - 5 )² = 75

Hence wrt the given form , the value of a is (-5) and b is 75 .

Answer:

25.12

Step-by-step explanation:

The formula of the circumference of a circle is: C = 2(pi)(r)

Plug in 3.14 for pi and 4 for the radius.

C = 2(3.14)(4)

Multiply.

C = 25.12