The radius of a semicircle is 4 millimeters. What is the semicircle's diameter?

Answer:

π/3

Step-by-step explanation:

The vector is in the first quadrant.  The angle is:

tan⁻¹(√3 / 1) = π/3

Answer:

The most basic way is to divide and multiply.

For example, if you say there are 50 candy pieces and the proportion of hard to chewy is 2 to 3, you would add variables to make it easier to comprehend.

2x to 3x

Total of 5x = 50

x = 10

So you know there are 2(10) = 20 hard candies and 3(10) chewy candies.

Another scenario could be 20 hard candies and 30 chewy candies form to make a basket and you want to make another with the same proportion. If you have already 50 hard, you want to find how many chewy.

First, simplify to get 2:3 for the already made.

Place in a fraction as 2/3

Substitute x in for the chewy and get 50/x (*** IMPORTANT: Keep the same on both fractions, constant by either doing the chewy/ hard or hard/ chewy)

Place side by side

2/        50/

3          x

You can cross multiply and get

2x = 150

x = 75

You would need 75 chewy candies!

Now, answers....

The first example is NOT because 7 x 48 doesn't equal 6 x 52. Also, 6 x 8 = 48 but 7 x 8 doesn't equal 52.

Secondly, 5 x 6 is 30, so you know you need to multiply the bottom by 6.

6a = 54

a = 9

Hooe this helps! :)

9514 1404 393

Answer:

  $105

Step-by-step explanation:

The thicker wall takes 345 -205 = 140 more blocks. Each of those costs $0.75, so the added blocks will cost ...

  140 × $0.75 = $105

The thicker wall will cost $105 more.

The percentage of values from the z-scores are 29.43% and 5.40%,, respectively

Here, we have

Between z = 0.53 and 2.67

This is represented as

Percentage = (0.53 < z < 2.67)

Using a graphing calculator, we have

Percentage = 29.43%

Next, we have

To the right of z = 1.61

This is represented as

Percentage = x > 1.61

Using a graphing calculator, we have

Percentage = 5.40%

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Answer:

The radius is the horizontal part of the circle. Aka the upper and lower half of a circle

The diameter is the vertical part. Aka the left or right part of a circle

Step-by-step explanation:

Answer:

False.

Explanation:

The Constitution did not go into effect the moment it was signed by the delegates. It needed to be approved by the people through the ratification process.

Answer:

GIMMIEEE BRAINLIST RIGHT NOWWW YOU FREAKING PUT HISTORY IN MATH

Step-by-step explanation:

Mountain Mack can carve 30 fishing lures and 36 duck decoys in a week.

Mountain Mack spends his time carving fishing lures and duck decoys. It is stated that if he spends all of his time carving fishing lures, he can carve 30 lures in a week. Similarly, if he spends all of his time carving duck decoys, he can carve 25 decoys in a week. Additionally, for every 5 duck decoys Mountain Mack carves, he must give up 6 fishing lures.

To determine the number of fishing lures and duck decoys Mountain Mack can carve in a week, we need to consider the trade-off between the two activities. Let's assume that Mountain Mack spends x amount of time carving fishing lures and y amount of time carving duck decoys in a week.

From the given information, we know that if Mountain Mack spends all of his time carving fishing lures, he can carve 30 lures in a week. Therefore, we can set up the equation:

x = 30

Similarly, if Mountain Mack spends all of his time carving duck decoys, he can carve 25 decoys in a week. Hence, we can set up another equation:

y = 25

Now, let's consider the trade-off between fishing lures and duck decoys. For every 5 duck decoys carved, Mountain Mack must give up 6 fishing lures. This means that for every 5 units of y (duck decoys), he loses 6 units of x (fishing lures). We can express this relationship as:

(5/6)y = x

Now we have a system of equations:

x = 30

y = 25

(5/6)y = x

To solve this system, we can substitute the value of x from the first equation into the third equation:

(5/6)y = 30

y = (6/5) * 30

y = 36

Now that we have the value of y, we can substitute it back into the second equation to find x:

x = 30

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Jody has created a systematic sampling error by forgetting to include a segment of the population that is relevant to the study.

Systematic sampling is a sampling method where every nth member of a population is selected to be part of the sample. In Jody's case, she forgot to include a specific segment of the population, which means that the sampling process was not systematic. This error can introduce bias and affect the representativeness of the sample.

No calculations are required for this type of error.

Jody's mistake in not including a relevant segment of the population has resulted in a systematic sampling error. To ensure the accuracy and validity of the study, it is important to rectify this error by including the missing segment or adjusting the sampling method accordingly.

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Using the cyclic quad rule we know that the opposite angles of the quad are equal to 180

Answer: A. 8x = 32

Step-by-step explanation:

To solve for x in the equation 8x = 32, we need to isolate x on one side of the equation.

We can divide both sides of the equation by 8:

8x/8 = 32/8

Simplifying:

x = 4

Therefore, the solution to the equation 8x = 32 is x = 4.

The solution to the equation 15x + 4 = 10x + 24 is x = 4.

Answer:

A) 8x = 32

Step-by-step explanation:

15x + 4= 10x +24

15x - 10x= 5x

5x + 4 = 24

24 - 4= 20

5x = 20

20/5= 4

X=4

Check options
A) 8x = 32

32/8=4

X=4

Answer:

x² + 34x + 104 = 0

x² + 34x = -104

x² + 34x + ((1/2)(34))² = -104 + ((1/2)(34))²

x² + 34x + 17² = -104 + 17²

x² + 34x + 289 = 185

(x + 17)² = 185

x + 17 = +√185

x = -17 + √185

Answer:

6.3

Step-by-step explanation:

\(6^{2} + 2^{2} = x^{2}\)

40 = \(x^{2}\)

\(\sqrt{40} = \sqrt{x^{2} }\)

x = 6.3

Answer:

6.3

Step-by-step explanation:

Pythagoras' Theorem (or Pythagorean Theorem) states a²+b²=c², where c is the hypotenuse.

We can use this equation and swap a and b for 6 and 2. This gives 6²+2²=c², which can be expanded to 36+4=c², and further c²=40.

To work out c, we need to square root both sides, leaving c=6.3245553203367586639977870888654, which rounded to 1 decimal place (nearest tenth) is 6.3.

**This content involves Pythagoras' Theorem or The Pythagorean Theorem, which you may wish to revise. I'm always happy to help!

Answer:

111°

Step-by-step explanation:

7 sides

sum of angles= (180×7)-360

1260-360=900

158+126+125+121+139+120+x=900

789+x=900

x=900-789

x=111°

The length is 14m and width is 10.5m when Samantha has 35 m of fencing to build a three-sided fence.

How to calculate the dimensions?

From the information given, Samantha has 35 m of fencing to build a three-sided fence around a rectangular plot of land that sits on a riverbank.

It should be noted that the area of a rectangle is calculated as:

= Length × Width

Also, the perimeter will be calculated as:

= 2(length + width)

Based on the information given, the perimeter will be:

58 = 2w + l

l = 58 - 2w

Area = Length× Width

Area = w(58 - 2w)

190 = 58w - 2w²

-2w² + 58w - 190

w = 10.5 meters

Length = 58 - 2w

= 58 - 2(10.5)

= 58 - 21

= 14

The length is 14m and width is 10.5m

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Answer: step 5. -11.8+9.8 = -2

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

hope it is right

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We can write the arithmetic sequence as -

{2, 4, 6, 8, 10, 12, ....} and the graph of the function is attached.

Given is to write a function that represents the arithmetic sequence.

       {a, a + d, a + 2d, a + 3d, .....}.

       {2, 4, 6, 8, 10, 12, ....}.

Therefore, we can write the arithmetic sequence as -

{2, 4, 6, 8, 10, 12, ....} and the graph of the function is attached.

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Answer:

a = 1

Step-by-step explanation:

Answer:

1 Kobocoin = 2.344999 Nigerian Naira (NGN)

Step-by-step explanation:

Using the concepts of statistics, we got that at least 79 is the minimum size of the sample needed in order to have a margin of error of two minutes or less, when we need to construct a 95% confidence interval for the mean length of time.

We have mean as  357.9minutes and standard deviation as 20.18 minutes.

To have the margin error 2 minutes or less than it we need to take

Z-score of the given sample distribution which is given by:

                Z=(X-μ)/σ

Here ,μ=357.9,σ=20.18,X=?,Z=95/100

=>95/100=(X-357.9)/20.18

=> -0.95×20.18=X-357.9

=>X=-357.9+0.95×20.18

=>X=-357.9+19.171

>X=-338.729

When X=-338.729,the p score is around 79.

Hence, when I want to construct a 95% confidence interval for the mean length of time of the flight in 2018 based on a sample of flights in 2018., the minimum size of the sample needed in order to have a margin of error of two minutes or less is 79.

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The child passes through 18π radians in the course of the carousel ride.

To determine the number of radians the child passes during the 6-minute ride on the carousel, we need to know the distance traveled in terms of radians.

Since there are 20 horses spaced evenly around the carousel, each horse is separated by an angle of 360/20 = 18 degrees or π/10 radians.

Therefore, during one rotation of the carousel, the child passes through 20π/10 = 2π radians. And since the carousel completes one rotation every 40 seconds, the angular velocity is 2π/40 = π/20 radians per second.

To find the total distance traveled in radians during a 6-minute ride, we need to multiply the angular velocity by the time elapsed.

6 minutes is equal to 360 seconds,

so the child passes through π/20 x 360 = 18π radians during the ride.

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Answer: 6912

Step-by-step explanation:

96x12=1,152

1,152x6=6912

Answer:

I think it's the third one

Step-by-step explanation:

Sorry if incorrect

hope this helps!

Answer:

B

Step-by-step explanation:

hope this help but I worked it out so it should be true

The solution of inequality  45 < 9(x + 3) < 153 is 2 < x < 14 so, option D is correct.

Inequalities specify the relationship between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal sign" to indicate that two values are not equal

Given:

45 < 9(x + 3) < 153

Solve the above inequality using the distributive property as shown below,

45 < 9x + 27 < 153

Separate the inequalities as shown below,

45 < 9x + 27  and 9x + 27 < 153

Divide both sides by 9 as shown below,

45 / 9 < 9x / 9 + 27 / 9  and 9x / 9 + 27 / 9 < 153 / 9

5 < x + 3  and x + 3 < 17

Subtract 3 from both sides,

5 - 3 < x + 3 - 3  and x + 3 - 3 < 17 - 3

2 < x  and x < 14

Combine the inequality,

2 < x < 14

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Answer:

a) x = 1/12

b) x = 3/4

c) x = 2/35

d) x = 20

e) x = 3/10

Step-by-step explanation:

a) 8x = 2/3

   8x/8 = (2/3) / 8

   x = 2/3 * 1/8

   x = 2/24

   x = 1/12

b) 1 1/2 = 2x

    3/2 = 2x

    (3/2) / 2 = 2x/2

    3/2 * 1/2 = x

    3/4 = x

    x = 3/4

c) 5x = 2/7

   5x/5 = (2/7) / 5

   x = 2/7 * 1/5

   x = 2/35

d) 1/4x = 5

   1/4x * 4 = 5 * 4

   x = 20

e) 1/5 = 2/3x

   1/5 * 3/2 = 2/3x * 3/2

   3/10 = x

   x = 3/10

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The exponential form of the equation log_r (u) = p is r^p = u.

The exponential form of the equation log(z) = r is z = e^r.

In mathematics, logarithms and exponentials are inverse operations. The logarithm of a number is the exponent to which another fixed value, the base, must be raised to produce that number. In contrast, the exponential function raises the base to a power, which gives us a certain value.

When we are given an equation in logarithmic form, we can convert it into exponential form by using the inverse operation of logarithms. For instance, in the equation log_r (u) = p, the base is r, the exponent is p, and the value is u. Therefore, the exponential form of this equation is r^p = u.

Similarly, for the equation log(z) = r, the base is assumed to be 10. Therefore, we can write the exponential form of this equation as z = 10^r. However, when we use the natural logarithm, we can write the equation as z = e^r.

In conclusion, converting logarithmic equations into exponential form and vice versa is a useful technique in mathematics.

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