What is the lateral surface area of this right pyramid with a square base?

[tex]\neq \lim_{n \to \infty} a_n \pi x_{123} \alpha[/tex]Answer:

Step-by-step explanation:

There are 3 boxes. The formula for volume is lxhxw, (length x height x width)

Assuming $34.50 is the price after the 8% price increase, we can set up this equation (if 34.50 is the old price, scroll down):

34.50=[tex]\frac{108}{100} x[/tex]
Where x ( or 100/100 x) is the original price.
We can simply the fraction, or just multiply by 100 on both sides.

3450=108x

x=31.9444 (4 repeating).

If the old price is 34.50, then we can set up this equation:

34.50+ [tex](\frac{8}{100} *34.50)[/tex] = x

34.5 + 2.76 = x

x = 37.26

The new selling price would be $37.26.

Answer:

6

Step-by-step explanation:

There is no perfect square root of 40 but when calculated it would be 6.33 which rounds down to 6.

Answer:

e. $44.20

Step-by-step explanation:

1. add all of the percentages together and subtract them by 100. this will give the percentage she wasted on food: 17%

2. convert 17% into a decimal: .17

3. multiply 260 by .17 this should give you 44.2

Answer:

18 inches is equal to 46 CM rounding or 45.72 CM without rounding.

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Step-by-step explanation:

Answer:

178

Step-by-step explanation:

Perimeter = distance all the way around the outside of a 2D shape

Missing vertical length = 45 - 14 - 17 = 14

Missing horiztonal length = 44 - 8 - 29 = 7

⇒ perimeter = 45 + 8 + 17 + 29 + (45 - 14 - 17) + (44 - 8 - 29) + 14 + 44

                     = 45 + 8 + 17 + 29 + 14 + 7 + 14 + 44

                     = 178

Answer:

First finding the perimeter of rectangle

Step-by-step explanation:

Which is 2(17+8)=2(25)=50

Now finding the perimeter of next rectangle

Which is 2(45+29) = 2 (74) =148

Now finding the perimeter of next rectangle

Which is 2(44+14)=2(58)=116

Adding them up we get 116 + 50 +148=314

178 is the correct answer however

I do not why 178 is correct

Step-by-step explanation:

the volume of a figure bases always on a calculation that multiplies 3 dimensions.

while a surface area bases always on a calculation that multiplies 2 dimensions.

since the figures are similar, that means that all dimensions or side lengths of one figure correlate to the corresponding dimensions or side lengths of the other figure via the same scale factor f.

and that means that

large side length = small side length × f.

and that means that f has to be multiplied in 3 times for the volume and 2 times for the surface area (once for every dimension).

so,

large volume = small volume × f × f × f =

= small volume × f³

1536 = 648 × f³

f³ = 1536/648 = 64/27

f = 4/3

and

large surface = small surface × f×f =

= small surface × f²

small surface = large surface / f² = 864 / 16/9 =

= 864 × 9/16 = 54 × 9 = 486 m²

Answer:

(- 1, - 3 )

Step-by-step explanation:

the coordinates of the midpoint are the average of the coordinates of the endpoints, then

midpoint = ([tex]\frac{4-6}{2}[/tex], [tex]\frac{2-8}{2}[/tex] ) = ( [tex]\frac{-2}{2}[/tex], [tex]\frac{-6}{2}[/tex] ) = (- 1, - 3 )

Answer:

No

Step-by-step explanation:

Plugging in n=0 into the equation gets us:

7(0) = 7

0 = 7

This says that 0 = 7 which is not true

Answer:

Vertex: ( − 2 , 3 ) Axis of Symmetry: x = − 2 Domain: R Range: R ≥ 3

Step-by-step explanation:

Explanation:

The "vertex form" for a parabola is XXX g ( x ) = m ( x − a ) 2 + b XXXXXX with the vertex at ( a , b ) To convert g ( x ) = 3 x 2 + 12 x + 15 into "vertex form" Extract the m XXX g ( x ) = 3 ( x 2 + 4 x ) + 15 Complete the square XXX g ( x ) = 3 ( x 2 + 4 x + 2 2 ) + 15 − 3 ( 2 2 ) XXX g ( x ) = 3 ( x + 2 ) 2 + 3 In complete vertex form: XXX g ( x ) = 3 ( x − ( − 2 ) ) 2 + 3 with the vertex at ( − 2 , 3 ) The equation is of the form for a parabola with a vertical axis of symmetry opening upward and since the axis of symmetry passes through the vertex, the axis of symmetry is x = − 2 g ( x ) = 3 x 2 + 12 x + 15 is defined for all Real values of x , therefore the Domain is x ∈ R . g ( x ) has values for all points at or above the vertex, therefore the Range is g ( x ) ∈ R ≥ 3 graph{3x^2+12x+15 [-7.85, 6.196, -0.84, 6.186]

Answer:

136

Step-by-step explanation:

First you multiply 7•5 which is 35, and sense there is 2 squares with that unit, you multiply 35•2 which is 70. After that you get the middle value by multiplying 6•7, which is 42. Then you add 42+70, and that's 112. Now you have to find the area of the triangle, so you multiply 6•4, and that's 24, but sense there are 2 of them with the same unit you don't need to divide by 2. Then after that you add 112+24 and the total area is 136

Answer:

  136 square units

Step-by-step explanation:

A "net" is a map of the surfaces of the prism. If you cut it out and fold along the solid lines, you can shape it into the triangular prism it represents. The area of the net is the area of the prism.

As with any composite figure, its area can be found by decomposing it into parts whose area formulas you know. Here, the net can be cut along the horizontal lines to form a rectangle and two triangles.

__

The rectangle has an overall length of 5+6+5 = 16 units, and a width of 7 units. Its area is ...

  A = LW

  A = (16)(7) = 112 . . . . square units

Each triangle has a base of 6 units and a height of 4 units. Its area is ...

  A = 1/2bh

  A = 1/2(6)(4) = 12 . . . . square units

The composite figure shown has been decomposed into one rectangle and two triangles, so its total area is ...

  rectangle area + 2 × triangle area

  = 112 + 2×12 = 136 . . . . square units

The surface area of the triangular prism is 136 square units.

Answer:

40%, 40%

Step-by-step explanation:

The % of shoppers that have an email account is

= 100 • (45+15)/150

= 40%

Same thing happens with the second question.

= 100•(45+15)/150

= 40%

Answer:

Guessing you want me to figure out what your cost should have been. On it!

Step-by-step explanation:

130 * .15 = 19.5

130 - 19.5 = $110.5

That should be the new cost.

The price of the thing after applying 15% discount is $110.50.

Percentage is a measurement to find value of given number out of hundred.

Given that,

The price at which thing is purchased = $130.

Since, The salesperson forgot to give a discount of 15%.

The discounted price = 130 x 15 %

= 130 x 15/100

= 1950/100

= $19.5

The price after discount = 130 - 19.5 = 110.5

The required price after discount is $110.5.

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Answer:

E

Step-by-step explanation:

if the x value or y value is 0 the equation is undefined

Answer:

9 Part-time employees

36 full-time employee

Step-by-step explanation:

20% multiply by 45 = 9

80% multioly by 45 =36

therefore to check if your answers are correct add 9 + 36 which gives you 45, the total number of employees in each company's four department.

Answer:

The company has 144 full-time employees and 36 part-time employees.

Step-by-step explanation:

The company has 144 full-time employees and 36 part-time employees because you have to do .20*45 to get 9 part-time employees per department. Then you can do 45-9 to get 36 full-time employees per department or you can do .8*45, either way is fine. Then you have to multiply 36 by 4 and 9 by 4 to get 144 full-time employees and 36 part-time employees.

Answer:

29.3 degrees

Step-by-step explanation:

90 - 60.7 = 29.3 degrees

Answer:

k = 15

Step-by-step explanation:

k + 45 = 60

k = 60 - 45

k = 15

Answer:

10%

Step-by-step explanation: there are 5 numbers from 5 to 50 ending in 9. 5 is 10% of 50. Hope this helped

[tex]xy = \frac{x}{3} + 5\\x = 6\\(6)y = \frac{(6)}{3} + 5\\6y = 2 + 5 = 7\\y = \frac{7}{6}[/tex]

Answer:

4n-10, Answer is D

Step-by-step explanation:

First we will use n as any number.

the difference between each of the numbers is +4

This creates first part of the formula.

4n...

If you do 4n and replace n as one (For the first number of the sequence) then 4×1=4. You then have to find out how much you need to add or subtract to get -6 so the difference between 4 and -6 is -10.

This creates the second part of our formula.

4n - 10

You can check this by doing the same thing for the second number and replacing n with 2.

2×4=8

8 - 10= -2 which is the second number in the sequence which confirms this is correct.

Answer:

42 feet

Step-by-step explanation:

1 inch = 6 feet

  then multiply both sides by 7

7 inches = 42 feet

The logic network to control the lights on the staircase; has been designed as seen below.

The truth table for the required response of the question is;

SWITCH A        SWITCH B         SWITCH C            Y

0(OFF)               0(OFF)               0(OFF)               0(OFF)

0(OFF)               1(ON)                  1(ON)                 1(ON)

1(ON)                  0(OFF)               1(ON)                 1(ON)

1(ON)                  1(ON)                  0(OFF)              1(ON)

1(ON)                  1(ON)                  1(ON)                0(OFF)

The expression for the output Y in SOP form will be;

A ⊕ B ⊕ C = A⁻B⁻C + AB⁻C⁻ + A⁻BC⁻

That's the output expression for the XOR gate.

Thus, we can conclude that in the staircase wiring, higher output is obtained when two out of three of the inputs are different.

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Answer:

(-6,-4)

(-2,-4)

Step-by-step explanation:

Step 1. Plot points

Step 2. Reflection over x-axis (make "y" negative)

Reflection:

(-6,4) --> (-6,-4)

(-2,4) --> (-2,-4)

Answer:

To find the directional derivative in the direction of the vector (1,2), we need to find a unit vector in the direction of the vector (1,2). We simply divide by the magnitude of (1,2). u=(1,2)∥(1,2)∥=(1,2)√12+22=(1,2)√5=(1/√5,2/√5).

Answer:To find the directional derivative in the direction of the vector (1,2), we need to find a unit vector in the direction of the vector (1,2). We simply divide by the magnitude of (1,2). u=(1,2)∥(1,2)∥=(1,2)√12+22=(1,2)√5=(1/√5,2/√5).

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

254.34 mm²

Step-by-step explanation:

Diameter (d) = 18 mm

Radius (r) = d/2 = 18/2 = 9 mm

π = 3.14

Area of the circle

= πr²

= (3.14)(9)²

= 3.14 × 81

= 254.34 mm²

____________

Hope it helps ⚜

diameter= 18mm

the area of the circle

[tex]area = \frac{1}{4} \pi {d}^{2} [/tex]

[tex]a = \frac{1}{4} \times \pi \times {18}^{2} [/tex]

[tex]a = 254.469 \: {mm}^{2} [/tex]

hence, the area of the circle is 254.469 square millimeters.