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The surface area of the square pyramid will be 105768.98 square meters.

The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of anybody is called the surface area.

Given that:-

The surface area of the pyramid will be:-

[tex]SA\ = \ a^2+2a\sqrt{\dfrac{a^2}{4}+h^2}}[/tex]

SA  =  48400 + 440 √17000

SA  =   48400  +  57368

SA  =   105768.98  square meters

Therefore the surface area of the square pyramid will be 105768.98 square meters.

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By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.

According to analytical geometry, we could know the equation of the line by means of the point-slope equation:

y - y₁ = m · (x - x₁)     (1)

Where:

If we know that m = -1/3 and (x₁, y₁) = (-3, -3), then the line equation is:

y + 3 = -(1/3) · (x + 3)

y + 3 = -x/3 -1

y = -x/3 - 4

Lastly we proceed to graph the function by a graphing tool (i. e. Desmos).

By applying the point-slope formula, the linear function y = -x/3 - 4 has a slope of - 1/3 and passes through the point (-3, -3) seen on Cartesian plane.

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Answer:

a. 5

b. 1

c. 2

d. -28

e. 10.4

f. 11.41

g. 8003

h. 1

Answer:

30%

Step-by-step explanation:

percentage = (discount/total amount)*100

= (8.40/28)*100=30%

Answer: 9

Step-by-step explanation:

78 subtract 51 is 27. One third of 27 is 9.

Answer:

120 i am sorry if i am wrong

Step-by-step explanation:

the volume of the cylinder is 120 cm
I have tried my hardest on studying this
question i am sorry if its wrong

After 5.4 years, the value of the car will be half the initial value.

We know that the value decreases by 12% each year.

Then the value of the car can be modeled with an exponential decay, written as:

[tex]V(t) = A*(1 - 12 \% /100 \%)^t = A*(1 - 0.12)^t = A*(0.88)^t[/tex]

Where A is the initial value, and t is the number of years.

The value will be halved when:

[tex](0.88)^t = 0.5[/tex]

We need to solve that, to do it, we can apply the natural logarithm to both sides, so we get:

[tex]Ln(0.88^t) = Ln(0.5)\\\\t*Ln(0.88) = Ln(0.5)\\\\t = Ln(0.5)/Ln(0.88) = 5.4[/tex]

This means that after 5.4 years, the value of the car will be half the initial value.

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Answer:

D. Ray

Step-by-step explanation:

Point: A dot in an exact location or position on a plane surface.

Line: A straight line that goes on infinitely in both directions and has no endpoints.

Line segment: A line between two points on each end.

Ray: A line with one endpoint and extends in one direction infinitely.

The probability of winning the game on your next turn is; 14%

The sample size of the two number cubes, when rolled is:

n = 36

The number of outcomes that give a sum of 2 or 5 is 5,

And the outcomes are (1, 1) (2, 3) (3, 2) (1, 4) (4, 1)

The probability is the quotient of the number of outcomes of the sum of 2 or 5 and the total outcomes.

Thus,

Probability = 5/36 * 100% = 13.89% ≈ 14%

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Perfect square formula/rules:

Trinomials are often organized like [tex]ax^2+bx+c[/tex].

The b value in this case is c, and it will always equal the square of half of the b value.

We're given:

In a trinomial, we're given the [tex]ax^2[/tex] and [tex]bx[/tex] values. a in this case is 1 and b in this case is 4. To find the third value by dividing 4 by 2 and squaring the quotient:

Therefore, the term that we can add is + 4.

[tex]c^2-4c+4[/tex]

To write this as the square of a bracketed expression, we can follow the rule [tex]a^2-2ab+b^2=(a-b)^2[/tex]:

[tex](c-2)^2[/tex]

[tex]c^2-4c+4[/tex]

[tex](c-2)^2[/tex]

Answer:

 x² - 49

Step-by-step explanation:

  Here a = x and b = 7

(x +7) (a -7) = x² - 7²

                  = x² - 49

Answer:[tex]x^{2} -49[/tex]

Step-by-step explanation:

To solve this question, we need to write out an equation for this and proceed to solve the system of equation. the number of 50 cents coins are 60.

The given data in this problem are

The system of equations can be written as

[tex]x + y= 100...eq(i)\\0.5x + 0.1y = $34..eq(ii)[/tex]

Let's start with equation (i)

[tex]x + y = 100\\\\y = 100 - x[/tex]

Substitute equation (iii) into equation (ii)

[tex]0.5x + 0.1(100 - x) = 34\\0.5x + 10 - 0.1x = 34\\0.4x = 24\\x = 60[/tex]

From the calculations above, the number of 50 cents coins are 60.

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You are comparing side AB, angle ABD, and side BD in one triangle to side CB, angle CBD, and side BD in the other triangle. That is, you are comparing a Side, Angle, and Side in each triangle. The SAS postulate is the reason the triangles are congruent.

Answer:

 Transitive Property of Equality

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

The probability of drawing a blue card first is 3/5 (3 blue cards out of a total of 5 cards). Then the probability of drawing a blue card again will be 2/4 (the blue card you drew first is removed so there are only 2 blue cards and 4 total cards). Now we multiply the probabilities together to get the probability of drawing a blue card, not replacing it, and then drawing another blue card = (3/5)(2/4) = 6/20 = 3/10.

Hope this helps! :)

Answer:

Not accurate

Step-by-step explanation:

3+9+9=21

Answer:

1. a=3

2. a=3

3. a=9

Step-by-step explanation:

1. 9/a+9-4=12-56/8+3

We move all terms to the left:

9/a+9-4-(12-56/8+3)=0

Domain of the equation: a=0

a∈R

We add all the numbers together, and all the variables

9/a+9-4-8=0

We add all the numbers together, and all the variables

9/a-3=0

We multiply all the terms by the denominator

-3*a+9=0

We add all the numbers together, and all the variables

-3a+9=0

We move all terms containing a to the left, all other terms to the right

-3a=-9

a=-9/-3

a=+3

Answer:

$2

Step-by-step explanation:

see photo for solution

(a) 12 boys play basketball

(b) See figure 2 below

==========================================================

Explanation:

Part (a)

You are on the right track so far when you wrote the partial table.

There are 15 girls in the class, and 8 girls that play basketball. That must mean 15-8 = 7 girls do not play basketball.

Focusing on the first row only, we'll have 7 go in the second column and 15 go in the third column. The first row is filled out entirely.

There are 32 students and 15 girls. This means there are 32-15 = 17 boys. We'll write 17 at the end of the second row.

The other missing value of this row is 17-5 = 12 to represent the number of boys who play basketball. This is because of the 5 boys that don't play basketball.

To fill out the missing items in the third row, add the columns straight down.

We have 8+12 = 20 basketball players and 7+5 = 12 people who do not play basketball. Notice how 20+12 = 32 along the bottom row to help confirm the correct values.

Check out figure 1 to see the entire two-way frequency table.

We see that there are 12 boys that play basketball.

------------------------------------------------

Part (b)

The previous part detailed how to set up the two-way frequency table.

For this part, we'll be creating the two-way relative frequency table. The keyword "relative" means that we'll divide each item by the grand total 32.

For instance, in the first row & first column we have 8/32 = 0.25; do the same with the other values. Do not round. The reason for this is because each decimal item is a terminal decimal, meaning the digits stop at some point. If your teacher instructs you to round, then be sure to follow those instructions of course.

Check out figure 2 so you can see the two-way relative frequency table.

A result like 0.25 in the first row & first column tells us that 25% of the class is a girl and plays basketball.

Answer:

mode

is the most common frequent value

Considering the graph of the periodic function it is found that approximately 6 seconds pass between consecutive waves.

The period of a function is given by the distance between it's repetitions.

In this problem, the peaks happen at t = 4 seconds, t = 10 seconds and t = 16 seconds, that is, each 6 seconds, hence approximately 6 seconds pass between consecutive waves.

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Answer:

Step-by-step explanation:

88 / 184 ≈ 0.48

96 / 184 ≈ 0.52

104 / 166 ≈ 0.63

62 / 166 ≈ 0.37

Expression 3200(1.06)^t represents the enrollment of a high school t years after 2000 will increase by 6%.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

The given expression is as follows:-

=  3200 ( 1.06 ) [tex],^t[/tex]

Here when the time has increased the percentage is also increased by 6%.

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Answer:

Use the slope-intercept form y=mx+by=mx+b to find the slope mm and y-intercept bb.Slope: 22y-intercept: (0,2)(0,2)

Step-by-step explanation:

The probability of having cats and dogs is 7/30.

The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an occurrence may be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

Definitions of Probability Theory Terms

The probability terminology listed below aid in a better comprehension of probability concepts.

Experiment: A trial or procedure carried out to generate a result is referred to as an experiment.

Sample Space: A sample space is the collection of all potential results of an experiment. Tossing a coin, for instance, has two possible outcomes: head or tail.

Favorable Consequence: An occurrence is deemed to have generated the desired outcome or an anticipated event if it did so. For instance, if we roll two dice and receive the total of the two numbers as 4, the possible/favorable possibilities are (1,3), (2,2), and (3,1).

Trial: To conduct a trial is to conduct a random experiment.

Given:

total students = 30

students have cat = 17

student have dog = 17

students have both =7

So, the probability of having cats and dogs

=7/30

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