I need help on this problem
​

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.

To know more about a surface area follow

https://brainly.com/question/25292087

#SPJ1

Parent function is general modulus function

Now

x is increased by +3 so change in x axis and vertex.

The vertex shifted 3 units leftwards .

Means compression factor is 2

Both graphs attached

Answer:

Step-by-step explanation:

Translations

For [tex]a > 0[/tex]

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis by a factor of}\:a[/tex]

Parent function:  [tex]f(x) = |x|[/tex]

Translated 3 units left:  [tex]f(x+3)=|x+3|[/tex]

Stretched parallel to the y-axis by a factor of 2:  [tex]2f(x+3)=2|x+3|[/tex]

Therefore, the function has been:

Attachments

Green graph - parent function   [tex]f(x) = |x|[/tex]

Red graph - Translated 3 units left   [tex]f(x)=|x+3|[/tex]

Blue graph - Stretched   [tex]f(x)=2|x+3|[/tex]

Answer: 9

Step-by-step explanation:

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

Answer:

a. 5

b. 1

c. 2

d. -28

e. 10.4

f. 11.41

g. 8003

h. 1

Answer:

Step-by-step explanation:

88 / 184 ≈ 0.48

96 / 184 ≈ 0.52

104 / 166 ≈ 0.63

62 / 166 ≈ 0.37

Answer:

∠ 1 = 36° , ∠ 2 = 144°

Step-by-step explanation:

∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180° , that is

x + 12 + 6x = 180

7x + 12 = 180 ( subtract 12 from both sides )

7x = 168 ( divide both sides by 7 )

x = 24

Then

∠ 1 = x + 12 = 24 + 12 = 36°

∠ 2 = 6x = 6 × 24 = 144°

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.

Answer:

the answer is 10z

Step-by-step explanation:

7+1=8

8+2=10

10z

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%

Read more about Probability of winning at; https://brainly.com/question/24756209

#SPJ1

Answer:

  D.  1/4

Step-by-step explanation:

You want to know the probability Marcy will miss a free throw, given that she makes 15 of 20.

We assume Marcy's record at practice is typical of her performance. It tells us that she makes 15/20 = 3/4 of the free throws she takes. That means she misses 1 -3/4 = 1/4 of the free throws.

The probability she will miss her free throw is 1/4.

__

Additional comment

Many assumptions are involved in this calculation. One of them is that her next throw is unaffected by her last throw. It is a rare player for whom that is the case.

<95141404393>

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.

To learn more on linear functions: https://brainly.com/question/14695009

#SPJ1

Answer:

Not accurate

Step-by-step explanation:

3+9+9=21

Step-by-step explanation:

your teacher was very nice and warned you about the trap in the question.

so, really, what do we have to do ?

a full circle represents 360°.

the shaded sector is the full circle minus the white sector !

this is the same as directly calculating the shaded sector for 360-75 = 285°.

so, the area of a circle is

pi×r²

in our case

pi×20² = 400pi

the needed fraction of the whole circle is either

75/360, if we want to subtract it for the solution

or

285/360, if we want to calculate the solution directly.

both lead to the same result.

400pi×360/360 - 400pi×75/360 =

= 400pi × 285/360 = 10pi × 285/9 = 2850pi/9 =

= 316.6666666...pi ≈ 316.7pi

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.

More can be learned about periodic functions at https://brainly.com/question/27723476

#SPJ1

Answer:

50, 25

Step-by-step explanation:

The general pattern expressed by the sequence 800, 400, 200, 100 seems to be the previous number divided by 2. Therefore the next two numbers in this number pattern are most likely 100 / 2 = 50 and 50 / 2 = 25.

Answer:

50 and 25

Step-by-step explanation:

x / 2 is the constant

next number

100/2 = 50

next number

50/2 = 25

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]

the standard equation of the circle having the given center and radius is [tex](x-9)^2+(y-2)^2=\frac{9}{25}[/tex].

Step-by-step explanation:

speed = distance/time

we know the speed and the time (11:45am to 1:45pm = 2 hours).

distance = speed × time = 56 m/h × 2 h = 112 miles

The volume of a pyramid that fits exactly inside a cube is 9 cubic feet is 3 cubic feet

The formula for calculating the volume of a pyramid is expressed as:

V = Base area. * height/3

Since it is a cube with a volume of  9 cubic feet, the length of the cube will be:

l = ∛9
l = 2.08

Determine the volume of the pyramid

V = 9/3

V = 3 cubic feet

Hence the volume of a pyramid that fits exactly inside a cube is 9 cubic feet is 3 cubic feet

Learn more on volume of pyramid here: https://brainly.com/question/218706

#SPJ4

Answer:

V = hpir^2 = 12(3.14)(3)^2 = 108(3.14) = 339.1

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:

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: