What is the surface area of this rectangular pyramid?
5 mm
4 mm
4 mm
___ square millimeters

Answer:

f(x)=2x-3, substitute the expression for g(x) in f(x)

f(x) = 2(x^2 + 1) - 3

f(x) = 2x^2 + 2 - 3

f(x) = 2x^2 - 1

Answer:

464 units²

Explanation:

Part A

Length × Width = 8 × 16 = 128 units²

Part B

Length × Width = 24 × 8 = 192 units²

Part C

Length × Width = 12 × 4 = 48 units²

Part D

Length × Width = 24 × 4 = 96 units²

Total Area: 128 + 192 + 48 + 96 = 464 units²

Answer:

464 units²

Step-by-step explanation:

The quickest way to determine the area of the figure is to calculate the area of the total rectangle, then subtract the missing parts.

(see attached diagram)

Total area of the rectangle = width × length

                                             = 24 × (16 + 4 + 4)

                                             = 24 × 24     ← the shape is actually a square!

                                             = 576 units²

Missing Area 1

Top left square = 8 × 8

                         = 64 units²

Missing Area 2

Bottom right rectangle = 4 × 12

                                      = 48 units²

Total area = area of rectangle - missing area 1 - missing area 2

                 = 576 - 64 - 48

                 = 512 - 48

                 = 464 units²

Answer:The third option is correct

Step-by-step explanation:

Answer:

(y³ - 2) (x² - 2).

Step-by-step explanation:

x²y³ - 2y³ - 2x² + 4

= y³ (x² - 2) - 2(x² - 2)

(x² - 2) is common to both parts so we have:

(y³ - 2) (x² - 2)

Answer:

3k+1

Step-by-step explanation:

Answer:

The correct answer is 3k + 1

Step-by-step explanation:

Hope this helps:) Goodluck!

Answer: a) the answer is engineering

Step-by-step explanation:

because since it is a circle, it's out of 360 degrees, and 1/4 means first you divide 360 with 4, and you get 90. So, i checked which department is exactly 90 degrees and saw that engineering is 90 degrees

Answer:

  3000

Step-by-step explanation:

The multiplier associated with each percentage change (p) is (1 +p). We can use this fact to relate the original number to the modified number.

__

Let x represent the original number. Then the discounted number is ...

  x(1 -20%)(1 -25%)(1 -20%) = x(0.8)(0.75)(0.8) = 0.48x

After those discounts, the increased number is ...

  (0.48x)(1 +20%)(1 +25%)(1 +20%) = (0.48x)(1.2)(1.25)(1.2) = 0.864x

The difference from the original is ...

  x - 0.864x = 408

  0.136x = 408 . . . . simplify

  x = 3000 . . . . . . . divide by the coefficient of x

The original number was 3000.

Answer: B (middle option)

Congruent; a counterclockwise rotation of 90° followed by a translation

Step-by-step explanation:

Rotating the triangle 90° makes point A face the left. Translating the triangle to the right afterward (and maybe a little in some other directions) would map it onto the second triangle.

Answer:

81.9 turns

Step-by-step explanation:

100 yd = 36 × 100 in. = 3600 in.

C = πd

C = 3.14 × 14 in. = 43.96 in.

3600/43.96 = 81.9

Answer: 81.9 turns

[tex]\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ h=27\\ V=225\pi \end{cases}\implies 225\pi =\pi r^2(27)\implies \cfrac{225\pi }{27\pi }=r^2 \\\\\\ \cfrac{25}{3}=r^2\implies \sqrt{\cfrac{25}{3}}=r\implies \cfrac{\sqrt{25}}{\sqrt{3}}=r\implies \cfrac{5}{\sqrt{3}}=r\implies 2.89\approx r[/tex]

For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.

In the are of math and geometry, a coordinate system is known to be a kind of a system which is known to often uses a lot of numbers or only one to show the  position of any given points.

Note that to be able to design the part to their taste and with the right coordinates, For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.

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Answer:

Vertex Q has an x-coordinate of 7. To form quadrilateral QRST, vertex T must be 3 units down from vertex Q. Vertex T should be at (7,3) .

Bianca is correct.

Step-by-step explanation:

Hope this helps.

The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes

The y-intercept is the coordinate point where x = 0. For the log function;

f(x) = log(x - 5)

If y = 0

0 = log(x-5)

x - 5 = 10^0
x - 5 = 1

x = 6

Hence the x-intercept is at (6, 0)

The vertical asymptotes is the value of x for which the function does not exist. The function does not exist at the point where x -5 =0
x = 5 is therefore an asymptotes

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Answer:

$10.862005 million

Step-by-step explanation:

150,000*1.036331 monthly

12*10=120

$150,000*1.036331 ^120=$10.862005 million

seams very unrealistic lol

Answer:$10.862005 million

Step-by-step explanation:

150,000*1.036331 monthly

12*10=120

$150,000*1.036331 ^120=$10.862005 million

The height of the shipping box in the shape of a rectangular prism is 15 inches

The given parameters are:

Volume = 9000 cubic inches

Base dimensions = 20 inches by 30 inches

The height of the prism is then calculated using:

Height = Volume/Base Area

So, we have:

Height = 9000/(20 * 30)

Evaluate

Height = 15

Hence, the height of the shipping box in the shape of a rectangular prism is 15 inches

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Answer:  1 1/8 or 9/8

Step-by-step explanation:

5 1/2-4 3/8= 1/ 1/8

Answer: y=108

Step-by-step explanation:

Answer:

k = 4.5

y = 4.5x

Step-by-step explanation:

Finding the variation constant, k :

Equation of variation :

The probability of the spinner not occurring A will be 8/9. Then the correct option is A.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

A spinner has 9 equal sections labeled A, B, C, D, E, F, G, H, and I.

Then the probability of not occurring A will be

The total event will be

Total events = 9 {A, B, C, D, E, F, G, H, I}

The favorable event will be

Favorable events = 8 {B, C, D, E, F, G, H, I}

Then the probability will be

P = 8/9

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Answer:

3 times 5 times 5

Answer:

2 to the power of three × 3 × 5

Step-by-step explanation:

Answer:

It is 15 m long.

Step-by-step explanation:

Given

width (b) = 20 m

Area of the floor (A) = 300 m^2

Length (L) = ?

we know

A = L * b

300 = L * 20

L = 15 m

Hope it will help :)

Answer:

i thing it is 2，if i wrong so sorry

Using proportions, it is found that the coordinates of the other end of the fence are (-1,-7).

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The midpoint of a segment is the mean of the coordinates of the endpoints, hence:

[tex]3.5 = \frac{x + 8}{2}[/tex]

x + 8 = 7

x = -1.

[tex]-1 = \frac{y + 5}{2}[/tex]

y + 5 = -2.

y = -7.

The coordinates of the other end of the fence are (-1,-7).

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Answer:

4/11 of the class did not walk to school.

Step-by-step explanation:

11/11 - 7/11 = 4/11

Answer:

(c) x = 15.26

Step-by-step explanation:

a² + b² = c²

8² + 13² = c²

64 + 169 = c²

c² = 233

c = 233 ½

c = 15.26

Answer:

z = 70 (Since it is a straight angle)

y = 110 (y = 180 - z)

The equation that represents the total area of the blueberry field will be y = 84x.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Six workers are hired to harvest blueberries from a field.

Each is given a plot with an area of 84 square ft.

Then the equation that represents the total area of the blueberry field will be

Let x be the number of workers and y be the total area field. Then we have

y = 84x

Then the area of the total field will be

y = 84 (6)

y = 504 square ft

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Answer:

The answer to this is 1,256

Step-by-step explanation:

all parallelograms have opposite sides that are parallel.

that is the only true statement.

Answer:

168

Step-by-step explanation: