A square pyramid has 1 square base and 4 triangular faces. Find its surface area. A. The area of the base is ________ square centimeters. B. The area of the four faces is ______ square centimeters. C. The surface area is ___________ square centimeters.

Answer:

Parameter OF Δ JKL = 138 unit

Step-by-step explanation:

Given:

JN = 8x - 35

NK = 7y - 9

OK = 2y + 11

OL = 32 - [2y + 11]

JM = 5x - 8

Find:

Parameter OF Δ JKL

Computation:

We know that tangent from same points are always equal

So,

ML = OL

JM = JN

5x - 8 = 8x - 35

8x - 5x = 35 - 8

3x = 27

x = 9

So,

JN = 8x - 35

JN = 8(9) - 35

JN = 37 unit

JM = 5x - 8

JM = 5(9) - 8

JM = 37 unit

NK = OK

7y - 9 = 2y + 11

5y = 20

y = 4

NK = 7y - 9

NK = 7(4) - 9

NK = 19 unit

OK = 2y + 11

OK = 2(4) + 11

Ok = 19 unit

OL = 32 - [2(y) + 11]

OL = 32 - [2(4) + 11]

OL = 13 unit

So,

LM = OL = 13 unit

Parameter OF Δ JKL = JN + NK +  OK + OL + LM + JM

Parameter OF Δ JKL = 37 + 19 + 19 + 13 + 13 + 37

Parameter OF Δ JKL = 138 unit

Answer:

Step-by-step explanation:

g

Answer:

26 , 10 , 3

Step-by-step explanation:

Any number larger than 2 will work.

Answer:

Option 3 is not true for f(x) and g(x).

The incorrect statement will be;

⇒ f (x) × g(x) = 4x⁵ + 8x⁴ - 13x³ - 17x² + 3x + 9

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The function are,

⇒ f(x) = 2x² + x - 3

And , g(x) = 2x³ + 3x² - 2x - 3

Now,

Since, The function are,

⇒ f(x) = 2x² + x - 3

And , g(x) = 2x³ + 3x² - 2x - 3

Hence, We get;

⇒ f (x) + g(x) = 2x² + x - 3 + 2x³ + 3x² - 2x - 3

                   = 2x³ + 5x² - x - 6

⇒ g (x) - f (x) = (2x³ + 3x² - 2x - 3) - (2x² + x - 3)

                   = 2x³ + 3x² - 2x - 3 - 2x² - x + 3

                   = 2x³ + x² - 3x

⇒ f (x) × g(x) = (2x² + x - 3) (2x³ + 3x² - 2x - 3)

                 = 4x⁵ + 6x⁴ - 4x³ - 6x² + 2x⁴ + 3x³ - 2x² - 3x - 6x³ - 9x² + 6x +9

                = 4x⁵ + 8x⁴ - 7x³ - 17x² + 3x + 9

Thus, The incorrect statement is,

⇒ f (x) × g(x) = 4x⁵ + 8x⁴ - 13x³ - 17x² + 3x + 9

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Answer:

646.0 cm^3

Step-by-step explanation:

The volume of this cube with side length 8 cm is (8 cm)^3, or 512 cm^3.

The volume of the hemisphere (half sphere) is

V = (1/2)(4/3)(pi)(4 cm)^3                     (since half of the diameter, 8 cm,

V = (2/3)(3.14)(64 cm^3), or                   is the radius)

V = 133.86 cm^3, or approximately 133.9 cm^3.

The volume of the entire solid is (512 + 133.9) cm^3, or 646.0 cm^3

Answer:

The expected value of x ; E(x) = 1

Step-by-step explanation:

F(x) = 1/8 for 0 ≤ x ≤ 4

To prove that it is a probability density function we will find E(x )

attached below is the required prove

It is proven that F(x) = 1/8 for 0 ≤ x ≤ 4 is  probability density function

The expected value of X = 1

Answer:

28

Step-by-step explanation:

Answer:

9 - 166.42m²

10 - 308.8cm²

Step-by-step explanation:

The first figure shown is a triangular prism

We can find the surface area using this formula

[tex]SA=bh+L(S_1+S_2+h)[/tex]

where

B = base length

H = height

L = length

S1 = base length

S2 = slant height ( base's hypotenuse )

The triangular prism has the following dimensions

Base Length = 4m

Height = 5.7m

Length = 8.6m

S1 = 4m

S2 = 7m

Having found the needed dimensions we plug them into the formula

SA = ( 4 * 5.7 ) + 8.6 ( 4 + 7 + 5.7 )

4 * 5.7 = 22.8

4 + 7 + 5.7 = 16.7

8.6 * 16.7 = 143.62

22.8 + 143.62 = 166.42

Hence the surface area of the triangular prism is 166.42m²

The second figure shown is a pyramid

The surface area of a pyramid can be found using this formula

[tex]SA = A+\frac{1}{2} ps[/tex]

Where

A = Area of base

p = perimeter of base

s = slant height

The base of the pyramid is a square so we can easily find the area of the base by multiplying the base length by itself

So A = 8 * 8

8 * 8 = 64

So the area of the base (A) is equal to 64 cm^2

The perimeter of the base can easily be found by multiplying the base length by 4

So p = 4 * 8

4 * 8 = 32 so p = 32

The slant height is already given (15.3 cm)

Now that we have found everything needed we plug in the values into the formula

SA = 64 + 1/2 32 * 15.3

1/2 * 32 = 16

16 * 15.3 = 244.8

244.8 + 64 = 308.8

Hence the surface area of the pyramid is 308.8cm²

Answer: 4π

Step-by-step explanation: C= 2πr; 2r=d; C=dπ; C=4π!

Answer:

4π  ft

Step-by-step explanation:

C = 2πr  (Circumference formula for a circle)

diamater = 4, so  diamter = 2 x radius,  4 = 2 x r , so r = 2

Use formula:

C = 2π(2) = 4π

4π ft (Exact answer)

Answer:

Well what's the question lol

Answer:

show the question

Step-by-step explanation:

Answer:

6W-12

Step-by-step explanation:

Answer:

6w-12

Step-by-step explanation:

distribute:

3(2w-4) = 6w-12

Answer:

6/ y^8

Step-by-step explanation:

Answer:

42.33+49.8

Step-by-step explanation:

add sides man i think

Answer:

Step-by-step explanation:

Answer:

0.28

Step-by-step explanation:

Answer:

0.20

Step-by-step explanation:

i got it right on edge 2022

Answer:

x = 6

Step-by-step explanation:

Using the rules of logarithms

logx - logy = log ([tex]\frac{x}{y}[/tex] )

logx = logy , then x = y

Given

log(x) - log(x + 6)

= log([tex]\frac{x}{x+6}[/tex] )

Then

log )[tex]\frac{x}{x+6}[/tex] ) = log([tex]\frac{1}{2}[/tex] ) , thus

[tex]\frac{x}{x+6}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2x = x + 6 ( subtract x from both sides )

x = 6

Answer:

56

Step-by-step explanation:

you do 209-153=56

Number of economy seats are 181

An equation between two variables that gives a straight line when plotted on a graph

Consider,

Number of economy seats =x

Number of First class seats =y

There are 209  total seats on the airplane

Then,

x + y=209

Difference between the number of economy and first class seats is 153

x - y=153

Solve both the equation

x + y=209

x = 209-y

Substitute the value of x in second equation

(209-y) - y=153

2y=209-153=56

y=28

Then

x + y=209

x + 28=209

x=209-28

x=181

Hence, the number of economy seats are 181

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Answer:

12 in^2

Step-by-step explanation:

Answer: 12in^2

Step-by-step explanation:

Answer:

4 hours and a half. 4 hours and 30 minutes

Step-by-step explanation:

Answer:

4hrs 30 minutes

Step-by-step explanation:

6hrs = 372miles

372 ÷ 6 = 62

1hr = 62 miles

62 x 4hrs = 248 miles

You need to 279 miles. 0.5 = 30 minutes.

Answer:

500043004030405.3

Step-by-step explanation:

Answer:

Write abt a poem you like or something

Step-by-step explanation:

Answer:

1=function

2=not function

3=function

4=function

5=function

6=not function

7=not function

8=function

Answer:

8/3 gram

Step-by-step explanation:

Since the hanger is said to be in balance, then the weight on the right balances the weight on the left ;

Right hand side = Left hand side

12 = 4 + x + x + x

12 = 4 + 3x

12 - 4 = 3x

8 = 3x

8/3 = 3x / 3

x = 8/3 gram

Answer:

2.2y=1x or just x

Step-by-step explanation:

Answer: y=2.2x

Step-by-step explanation:

Answer:

a. 8 years

b. $49.20

Step-by-step explanation:

The computation is shown below:

a. The mark age is

Given that

232 is 8 times of the sum of mark and his sister ages

And, his sister is 21

So,

Let us assume the mark age be x

now

8(x + 21) = 232

x + 21 = 29

x = 29 -21

x = 8

b. The original price of the socks is

As each pair get $3 off

And she bought 6 pairs for $31.20

= $31.20 + 6 × $3

= $31.20 + 18

= $49.20

Answer:

C NO TOO HOT OR TOO COLD

Step-by-step explanation:

Answer:

the answer is c

Step-by-step explanation:

Brainliest plz

Answer:

I don't know what you mean by disc but the answer is 80 degrees.

Step by Step explanation:

A triangle is made up of 180 deg

65+35=100

180-100=80

Answer:

F. 80°

Step-by-step explanation:

Because a triangle measues 180°

35+65= 100

180-100=80

So the remaining angle must measure an exact 80°