For a cameraman, what will be his best locations so that he can take good shots of the actors performing on stage? And also explain and justify this question using knowledge about the basic parts of a circle.

Based on the diagram, the expression which shows the possible length of segment AB shows that 27 < AB < 81

A triangle that does not have equal sides and angles is known as a scalene triangle.

From the figure attached below, let's have a triangle ABC by using the parameter in the instructions given.

where;

We can use the Pythagoras rule to determine the side |AB|.

Pythagoras rule states that the sum of the hypotenuse squared is equal to both the sum of the opposite squared and adjacent squared.

hyp² = opp² + adj²

AC² = AB² + CB²

54² = AB² + 27²

\(\mathbf{AB^2 = 54^2 - 27^2}\)

\(\mathbf{AB^2 = 2187}\)

\(\mathbf{AB =\sqrt{ 2187}}\)

AB = 47

Therefore, we can conclude that the expression which shows the possible length of segment AB shows that 27 < AB < 81.

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Answer: 27<AB<81

Step-by-step explanation:

just took test

Answer:

tanG = 2

tanH = \(\frac{1}{2}\)

Step-by-step explanation:

The function tangent is the opposite side divided by the adjacent one(SohCahToa).

Relative to angle G, the side with measure 2 is opposite while the wide with measure 1 is adjacent. From this we can set up an equation and substitute:

tan(m<G) = \(\frac{opposite}{adjacent}\)

tan(m<G) = \(\frac{2}{1} = 2\)

The same can be done for <H. The opposite side is 1 while the adjacent is 2:

tan(m<H) = \(\frac{opposite}{adjacent}\)

tan(m<H) = \(\frac{1}{2}\)

Answer: 6 ft 7in = 2 meters

well, we know the commission is 6.5% from all sales, and when the sales are $3790, well, what's 6.5% of that?

\(\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6.5\% of 3790}}{\left( \cfrac{6.5}{100} \right)3790}\implies 246.35\)

Answer:

Jordon's brother got $40

Step-by-step explanation:

We can set up a system of equations to solve this.

Let's say that Jordon got x dollars.

His brother got y dollars.

x+y=100 since they are dividing the 100 dollars

1/3x=1/2y (the same indicates that they are equal)

Multiply the entire second equation by 3.

x=1.5y

Now we can substitute 1.5y in for x in the first equation.

x+y=100

1.5y+y=100

2.5y=100

Divide both sides by 2.5

y=40

Jordon's brother got $40.

Plug that in to find how much Jordon got.

x+y=100

x+40=100

Subtract 40 from both sides

x=60

Jordon got 60.

1) The probability that a Snickers will be picked from the bag is: 0.162

2) The probability that a Twix or a Snickers will be picked from the bag is:

0.486

3) The probability that two Milky Ways will be picked out of the bag in a row is: 0.042

4) The probability that a Snickers will be picked and then a Three Musketeers will be picked is: 0.048

We are given the parameters as:

Number of Snickers = 6

Number of Twix = 12

Number of Milky Ways = 8

Number of Three Musketeers = 11

Total number of candies = 6 + 12 + 8 + 11 = 37

1) The probability that a Snickers will be picked from the bag is:

P(Snickers) = 6/37 = 0.162

2) The probability that a Twix or a Snickers will be picked from the bag is: (12/37) + (6/37) = 18/37

= 0.486

3) The probability that two Milky Ways will be picked out of the bag in a row is:

(8/37) * (7/36) = 0.042

4) The probability that a Snickers will be picked and then a Three Musketeers will be picked is:

(6/37) * (11/37) = 0.048

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Answer:

16.25

Step-by-step explanation:

Answer:

48.75

Step-by-step explanation:

The student is tasked with a Mathematics exercise, in which they need to correctly position given values on a figure. The student needs to use mathematical reasoning to identify and place the correct values.

This seems to be a task in a drag-and-drop interactive exercise related to Mathematics. Your job is to place the given values in their correct positions in the given figure. Not all values will be used, so you should be able to identify which values are needed and which are not. It's important to carefully examine the requirements of the exercise and use your mathematical reasoning skills to determine where each value should be placed.

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Strategies such as fast-tracking, crashing, prioritization, and resource optimization can be employed to reduce the project completion time by 5 weeks.


To reduce the completion time of the project by 5 weeks, we need to analyze the provided information and make appropriate adjustments. The initial completion time of the project is 25 weeks.

To achieve a reduction of 5 weeks, we can consider several strategies:

1. Fast-tracking: This involves overlapping or parallelizing certain project activities that were initially planned to be executed sequentially. By identifying tasks that can be performed concurrently, we can potentially save time. However, it's important to evaluate the impact on resource allocation and potential risks associated with fast-tracking.

2. Crashing: This strategy focuses on expediting critical activities by adding more resources or adopting alternative approaches to complete them faster. By compressing the schedule of critical tasks, we can reduce the overall project duration. However, this may come at an additional cost.

3. Prioritization: By reevaluating the project tasks and their priorities, we can allocate resources more efficiently. This ensures that critical activities receive higher attention and are completed earlier, resulting in an accelerated project timeline.

4. Resource optimization: Analyzing the resource allocation and identifying potential areas for optimization can lead to time savings. By ensuring that resources are utilized effectively and efficiently, we can streamline the project execution process.

It's important to note that implementing any of these strategies requires careful evaluation, considering factors such as project constraints, risks, cost implications, and stakeholder agreements. A comprehensive analysis of the project plan, resource availability, and critical path can guide the decision-making process for reducing the project completion time.

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The number of the students in the sixth grade will be 132 students.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The proportion of sixth and seventh graders is 11 to 9. In the event that there were 108 seventh graders.

The ratio of the number of students in the sixth and seventh will remain constant.

Let 'x' be the number of students in sixth grade. Then the equation is given as,

x / 108 = 11 / 9

Simplify the equation, then we have

x / 108 = 11 / 9

x = 108 × 11 / 9

x = 12 × 11

x = 132

The number of the students in the sixth grade will be 132 students.

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Step-by-step explanation:

y= mx+ b

where m is the slope , and b is the y intercept

y= -7x + 1

Answer:

\(10i\)

Step-by-step explanation:

√(-100)

Use the imaginary number rule  \(i=\sqrt{-1}\)

√(-1) × √(100)

i × √(10²)

i × 10

= 10i

Answer:

It does not have a square root because it is a minus digit.

Step-by-step explanation:

The square root of one number is the number which is multiplied by itself to form the square number.

But, no negative number has a square root, because

- x - = +

+ x + = +

As you can see, no two same signs multiply together to form a negative.

Hope this helps.

Good Luck

Answer: See step-by-step below.

Step-by-step explanation:

First we need to solve the equation, 16x + 16x - 1 = 10.

16x + 16x - 1 = 10

32x-1 = 10

Whatever we do on one side, we have to do on the other.

So, we will add 1 to both sides.

32x - 1 + 1 = 10 + 1

Simplify.

32x = 11

x = 11/32

So, 22x = 22(11/32)

= 121/16

 =  7 9/16

Answer:

$1247.97

Step-by-step explanation:

$42 per month of service

new phone monthly service is $415.99

415.99 x 3 = 1247.97

The amount of money that Liboko would pay in total for the lounge suite would be = R 13,276

The total amount of money that the lounge suite costs = R6 000

The amount of money he paid on deposit= R1 000

The amount of money he paid for 36 months = R 341

That is, = 36× 341 = R 12,276

Therefore the total money he paid = 12276 + 1 000 =

R 13,276.

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Answer:

Step-by-step explanation

The length of the left sloping line

= √ (5^2 + 7^2) = √74.

The right sloping line

= √(5^2 + 5^2) = √50.

So the perimeter:

= √74 + √50 + 2 + 2 * 4 + 14

= 39.67 to nearest hundreth.

Area = 1/2 * 5 * 7 + 2*5 + 1/2 * 5 * 5 + 4*14

= 96.

Answer:

Step-by-step explanation:

Rap music is generally more popular with young blacks than young whites, during the 80s-90s when rap was becoming more popular with artists such as 2pac, BIG, Dr. Dre, etc they were more popular among young blacks than whites

To make the expression \(\(u^2 + 16u + \_\_\)\)  a perfect square, we need to add 64. We know to use the number 8 because it is half the coefficient of the linear term, and squaring it ensures that the quadratic term is doubled, completing the square.

To make the expression \(\(u^2 + 16u + \_\_\)\)  a perfect square, we need to determine the missing term that completes the square.

To determine this term, we take half of the coefficient of (u) (which is 16) and square it. Half of 16 is 8, and when we square it, we get 64.

So, the missing term to make the expression a perfect square is 64. Therefore, the complete expression as a perfect square is \(\(u^2 + 16u + 64\).

We know to use the number 8 because we want to create a perfect square trinomial.

By taking half of the coefficient of the linear term, we ensure that the quadratic term is doubled, and when we add the square of half the linear term, it perfectly completes the square, resulting in a perfect square trinomial.

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Numbers greater than 1: 3.2 × 10⁵, 2.2 × 10³, 2.4 × 10³, 2.5 × 10⁴.- Numbers between 0 and 1: 1.9 × 10^⁻¹.- Numbers less than 1: 5.9 × 10², 6.1 × 10¹.

The given numbers can be classified according to their values into three categories:

numbers greater than 1, numbers between 0 and 1, and numbers less than 1.


1. Numbers greater than 1:
- 3.2 × 10⁵:

This number is in scientific notation, where 10⁵ means multiplying the number by 10 five times.

So, 3.2 × 10⁵ = 3.2 × 100,000 = 320,000.
- 2.2 × 10³: Similarly, 2.2 × 10³ = 2.2 × 1,000 = 2,200.
- 2.4 × 10³: This number is the same as the previous one, so it also belongs to the category of numbers greater than 1.
- 2.5 × 10⁴: Similar to the previous numbers, 2.5 × 10⁴ = 2.5 × 10,000 = 25,000.

2. Numbers between 0 and 1:
- 1.9 × 10⁻¹ : Here, 10⁻¹ means dividing the number by 10 once. So, 1.9 × 10⁻¹ = 1.9 ÷ 10 = 0.19.

3. Numbers less than 1:
- 5.9 × 10²: This number is between 1 and 10, so it belongs to the category of numbers less than 1.
- 6.1 × 10¹: Similarly, 6.1 × 10^1 = 6.1 × 10 = 61.


- Numbers greater than 1: 3.2 × 10⁵, 2.2 × 10³, 2.4 × 10³, 2.5 × 10⁴.
- Numbers between 0 and 1: 1.9 × 10^⁻¹.
- Numbers less than 1: 5.9 × 10², 6.1 × 10¹.

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The least number of blocks with which he can do is 168 blocks.

What is the least Common Multiple (LCM)?

The Least Common Multiple (LCM) is a method for determining the smallest common multiple of two or more numbers. A common multiple is a number that is the product of two or more numbers.

Least number of blocks = LCM of 6cm, 7cm, and 8cm.

Multiples of 6 - 6,12,18,24,30,36,42,48,54,60

Multiples of 7 - 7,14,21,28,35,42,49,56,63,70

Multiples of 8 - 8,16,24,32,40,48,56,64,72,80

Common Multiples - 168

Least Common Multiple - 168

So the least number of blocks with which he can do is 168 blocks.

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Answer:

not equivalent to meteorologists ratio

Step-by-step explanation:

meteorologists ratio is

rainy days : sunny days = 2 : 5

last months weather is

rainy days : sunny days

= 10 : 20 ( divide both parts by LCM of 10 )

= 1 : 2 ← not equivalent to 2 : 5

Answer:

a

Step-by-step explanation:

3(1) + 1 = 4

3+1=4

4=4

-3(1) + 1 = -2

-3 +1 = -2

-2 = -2

Answer: 20%

Step-by-step explanation:

The mean mark obtained by 5 girls is 38. Mark obtained by the new girl added is 62.

Let the mark obtained by the new girl be x.

Given, the mean mark obtained by 5 girls is 38.

So, the total marks obtained by the 5 girls = 5 * 38 = 190.

When the mark of the new girl is added, the mean mark increases to 40.

So, the total marks obtained by all the 6 girls = 6 * 40 = 240.

Therefore, the mark obtained by the new girl = Total marks obtained by all 6 girls - Total marks obtained by 5 girls

= 240 - 190

= 50.

Therefore, the mark obtained by the new girl added is 60.

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Answer:

non-proportional

Step-by-step explanation:

odd and even numbers mixed make it non-proportional

We need to combine 4 out of 5 girls, and 2 out of 7 boys. The number of ways each of these combinations can be made is:

Then, the number of ways both combinations will happen is the product:

Now, the total number of ways we could choose any 6 students out of 12 (5 girls + 7 boys) is:

Finally, the required probability is found dividing the number of events of interest (105) by the total number of events (924):

P = 105/924 = 15/132 = 5/44

Answer

x=5 y=2

Step-by-step explanation:

Answer:

C. Negative skew

Step-by-step explanation:

I did the test and got it right, plato / edmentum

An example of an exponential function is the growth of bacteria. the growth of the bacteria is by exponential growth in the number of cells in a specimen of bacteria doubles every hour.

Some bacteria double her size every hour. Starting with 1 bacterium, every hour he doubles, after x hours he doubles as bacterium. This can be written as f(x) = 2x.

Bacteria replicate by binary fission, the process by which one bacterium divides into two. Bacteria therefore multiply in number by a geometric progression, doubling the population with each generation. The binary fission is the actual multiplication procedure of the cells division where cells grows fastly and further divided itself into other groups or colony.

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