1.2 A pyramid, with the base similar to an obtuse-angled triangle as indicated by the diagram below. A = 110°, B = 40° and BC = 6 meters. The perpendicular height of the pyramid is 8 meters

1.​Calculate the length of AB
2.Calculate the area of the base.
3.Calculate the volume of the pyramid

Answer:

A

Step-by-step explanation:

Since the leading coefficient of the function is greater than 0, then it opens upward.

Using exponential function, Correct answers are D and F. 8².8⁵ is equivalent to  8²⁺⁵,  8⁷

An exponential function is a mathematical function with the expression f (x) = ax. where x is a variable and an is a constant known as the function's base. The most common exponential-function base is the transcendental number e, or around 2.71828.

When the base is bigger than 1, the exponential function has the following characteristics.

The value of 8².8⁵ is  -

8²⁺⁵

8⁷,

Which is equivalent to 7 times 8.

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Answer:

answer should be A. 2⅖

Step-by-step explanation:

you can find out by turning it into an improper fraction: =5×2+2/5

=10+2/5

=12/5

Option D is the right choice. Dependent events can best be described as group of events whose later outcomes are affected by previous outcomes.

We are aware of two instances. If the occurrence of one result influences the occurrence of the other outcome, then events A and B are said to be dependent.

For instance,

If we pull the first marble without replacing it from a bag containing 5 blue marbles, 2 red marbles, and 3 green marbles.

The sketching of a blue marble first, followed by a green marble, is an instance of a dependent event.

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Answer:

d on edge

Step-by-step explanation:

______________________________

The area of the rectangular pink border is of 400 cm².

The area of a rectangle of dimensions l and w is given by the multiplication of the dimensions, as follows:

A = lw.

Hence, the total area is given by:

A = 30 x 20 = 600 cm².

The area of the white region is given by:

A = (30 - 2 x 5) x (20 - 2 x 5) = 20 x 100 = 200 cm².

Hence the area of the pink border is:

600 cm² - 200 cm² = 400 cm².

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We're given:

If the shop sold " [tex]9\dfrac{9}{10}[/tex]  times as much milk chocolate as white chocolate", we must multiply [tex]9\dfrac{9}{10}[/tex] by the amount of white chocolate sold to find the amount of milk chocolate sold.

Multiply [tex]9\dfrac{9}{10}[/tex] by 9 ounces:

[tex]9\dfrac{9}{10}\times9[/tex]

Convert the fraction into an improper fraction:

[tex]=\dfrac{99}{10}\times9[/tex]

Multiply:

[tex]=\dfrac{891}{10}[/tex]

The shop sold [tex]\dfrac{891}{10}[/tex] ounces of milk chocolate.

Answer:

17.5 inches

Step-by-step explanation:

Let the length of the shorter piece be x

Shorter piece + Longer piece = Whole string

x + (x + 7) = 42

x + x + 7 = 42

Both sides minus 7 to remove the 7 from the left side of the equation.

2x + 7 - 7 = 42 - 7

2x = 35

x = 17.5 inches

Hope this helped! ^^

Answer:

7/9 the answer is C

Step-by-step explanation:

Answer:

188 = 46x + 73

It took 2 1/2 or 2.5 hours to complete.

Step-by-step explanation:

There is a one time cost of 73 for the parts, but the hours will be 46 per hour.  I know the total cost, so we need to solve for x which is the hours.

188 = 46x + 73  Subtract 73 from both sides of the equation

115 = 46x  Divide both sides of the equation by 46

2.5 = x

Answer:

18.

Step-by-step explanation:

1) formula of the perimeter given in the condition is:

p=2(VW+XV) or p=2(VY+XY).

Note, VW=XY and XV=VY;

2) if to substitute p=84, VW=2z+2 and XV=3z into the formula above, then

2(2z+2+3z)=84, ⇔ 5z+2=42; ⇒ z=8.

3) if z=8, then VW=2z+2=2*8+2=18.

For the linear function y = 0.5x. three ordered pairs are given as follows:

Using points (-2,-1) and (2,1), the graph of the function is given at the end of the problem.

A linear function is modeled by:

y = mx + b

In which:

In this problem, the function is:

y = 0.5x.

Hence three pairs of points are given as follows, replacing the value of x in the equation to find y.

The graph of the function is given at the end of the answer.

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It means there's a 90 percent chance that 8:00 AM train from Princeton to New York will arrive on time, and 10 percent chance it’s 8:00 AM train from Princeton to New York will not arrive on time.

Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events. The degree to which something is likely to happen is basically what probability means. You will understand the potential outcomes for a random experiment using this fundamental theory of probability, which is also applied to the probability distribution. Knowing the total number of outcomes is necessary before we can calculate the likelihood of a particular event happening.

It means there's a 90 percent chance that 8:00 AM train from Princeton to New York will arrive on time, and 10 percent chance it’s 8:00 AM train from Princeton to New York will not arrive on time.

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Step-by-step explanation:

First, find the vector.

= (4,2) - (-3,5)

= (4-(-3),2-5)

= (7,-3)

And then, find the distance.

= √(7² + (-3)²)

= √(49 + 9)

= √58 ✓

Answer:

B. 13

Step-by-step explanation:

[tex]Rule:a-\left(-b\right)=a+b\\=9-\left(-4\right)=9+4\\=9+4\\=13[/tex]

Answer:

20%

Step-by-step explanation:

4/20 * 100% = 20%

For the given proportional relationship, it is found that the unit rate is of 1.5 inches per second, and the meaning of the points is given as follows:

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality, also called the unit rate.

For this problem, the unit rate is given as follows:

k = 4.5/3 = 1.5/1 = 1.5 inch per second.

The meaning of the points are given by:

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Answer:

Step-by-step explanation:

y=2x1-

So this is a very simple question.

First, analyze the problem

It says y=2x-1

The answer is +1 or 1 I believe

Someone pls correct me If I'm wrong.

Answer:

b

Step-by-step explanation:

earned at the end of one year? How much interest would you have earned compounded annually after 2 years?

Get the first year interest. Also, calculate the second year interest then add it to the first to get total interest after 2 years.

Remember: Interest - Principal x Rate x Time

wait a second...............

The sample would be representative of the population if 100 cars were chosen regardless if randomization was used or not; this statement is not correct;

A survey was carried out by visiting a student parking lot to estimate the number of red cars.

If a different sample of cars was picked, the proportion of red cars would most likely be different. This statement is correct.

The sample would be representative of the population if 100 cars were chosen regardless if randomization was used or not. This statement is not correct because you select only 100 cars to represent whole population that too without randomization;

Despite the fact that a random sample was obtained from cars in the parking lot, the sample may not be representative.

because the decision to park in that particular lot is typical of the cars driven by students self-selected.

If the sampled stall was empty, we can simply choose another stall at random to take its place because the stall being unoccupied is unlikely to be associated to a red car.

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Work Shown:

g(x) = x^2 - 4

g(f(x)) = ( f(x) )^2 - 4

g(f(x)) = ( 2x-1 )^2 - 4

g(f(x)) = (2x-1)(2x-1) - 4

g(f(x)) = 4x^2-2x-2x+1 - 4

g(f(x)) = 4x^2 - 4x - 3

The value of the expression is  -8 31/35

The expression is given as:

negative 2 and 3 over 5 minus 6 and 2 over 7.

Rewrite properly as

- 2 3/5  - 6 2/7

Express as improper fraction

-13/5 - 44/7

Take the LCM

(-13 * 7 - 44 * 5)/35

Evaluate the difference of products

-311/35

Express as mixed fraction

-8 31/35

Hence, the value of the expression is  -8 31/35

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Answer:

B

Step-by-step explanation:

The solution of the equation for b is b = 2s - a - c

The equation is given as

s= 1/2(a + b + c)

Multiply through by 2

So, we have

2s = a + b + c

Subtract a and c from both sides of the equation

b = 2s - a - c

Hence, the solution of the equation for b is b = 2s - a - c

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The class width of the histogram is 5000.

It should be noted that the class width is the distance that can be found between the lower limits of consecutive classes.

The range is the difference between the maximum and minimum data entries.

class width of a histogram is given by the equation

Therefore, class width:

= maximum of a class - minimum of a class

In the given histogram, first-class start at 2500 and ends at 7500..Therefore considering first class,.minimum =2500 and maximum=7500.

Therefore, class width will be:

= 7500-2500

= 5000

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Option E:

This graph is not a function because the value of y is the same for every value of x

Solution :

Domain:

The domain of a function is the set of its possible inputs, i.e., the set of input values where for which the function is defined. In the function machine metaphor, the domain is the set of objects that the machine will accept as inputs.

For example, when we use the function notation f:R→R, we mean that f is a function from the real numbers to the real numbers. In other words, the domain of f is the set of real number R (and its set of possible outputs or codomain is also the set of real numbers R).

relation represents y as a function of x

1) is NOT a function of if there are two or more points with the same − , but

− .

2) is a function of if each has a different

There is a technique called the vertical line test that is often used to determine if a graph represents y

as a function of x

In this question only a horizontal line is present.

Option E:

This graph is not a function because the value of y is the same for every value of x

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Answer: he will need to order 1 more new screens

Step-by-step explanation:

a mobile phone shop has discovered that 35% of all I phones XS screens sold last month are defective.

so probability of defective screen is

x=35/100   (let)

now since he sold 7 phones

so number  of defective screen can be

=x*7

=2.45

since defective screen cant be in decimal

so

taking into consideration that last screen have a chance of getting defective

so he would need 3 screen

he has 2 in stock

so he will need to order 1 more new screens

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Answer:

The simplest form of

78/99

is

26/33

.

Answer: f(3)=2

Step-by-step explanation:

f(x) = 2x - 4

f(3) =2(3) - 4

f(3) = 6-4

f(3)=2