A square pyramid and its net are shown below. What is the surface area of the pyramid?
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Answer:

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BD = 2x-4

But it's also BE - CE + CD

BE is 3x-1

CE is 2x-3

CD is 2

so

BD = 3x-1 -(2x-3) +2

simplified

BD = 1x +4

since BD = BD (obviously), we can also say that the righthand sides of the two equation must be equal

2x -4 = 1x +4

let's solve for x and that put it into either of the 2 equations.

2x -4 = 1x +4

subtract 1x on both sides

x -4 = 4

add 4 on both sides

x = 8

substitute x for its value in 2x -4 = 1x +4

(this way we double check BD in two expressions at once. the equation should come out true, meaning same value for BD in each expression. both sides should be equal).

2*8 -4 = 1*8 +4

12 = 12

seems true

BD is safely 12

Answer:

The answer is D (6).

hope this helps!

Answer:

Vertical Angles

x = 21

Step-by-step explanation:

Vertical Angles

4x + 3 = 87

4x = 84

x = 21

Answer:

3.98 x 10^7

Step-by-step explanation:

Answer:

3.98x10^7Step-by-step explanation:

Answer:

13.25 years

Step-by-step explanation:

Take the number of booklets and divide by the number of booklets per year

159/12

13.25 years

Answer:

48.4 volts

Step-by-step explanation:

by using the formula :

V = I × R, we get :

V = 4.0 × 12.1 = 48.4 volts

Step-by-step explanation:

1) [tex](-4)^2{\cdot}(-4)[/tex]

We know that, [tex]a^x{\cdot}a^y=a^{x+y}[/tex]

[tex](-4)^2{\cdot}(-4)=(-4)^{2+1}\\\\=(-4)^3\\\\=64[/tex]

2) [tex](-2)^5{\cdot} (-2)^3[/tex]

Again using above property,

[tex](-2)^5{\cdot} (-2)^3=(-2)^8\\\\=256[/tex]

3) [tex]5^{-3}[/tex]

We know that,

[tex]a^{-x}=\dfrac{1}{a^x}[/tex]

So,

[tex]5^{-3}=\dfrac{1}{5^3}\\\\=\dfrac{1}{125}[/tex]

4) [tex]2.5^2=2.5\times 2.5\\\\=6.25[/tex]

Hence, this is the required solution.

Answer: 237,500 total decrease

Step-by-step explanation:

Answer:

two times

Step-by-step explanation:

ΔM:  let 'h' = height; let '4b' = base

ΔN:  let 'h/2' = height; let 'b' = base

Area (ΔM) = 2bh

Area (ΔN) = bh

Answer:

Step-by-step explanation:

for the right side :

its a triangular prism and the volume is 4 x 8 x 10 = 320.

the SA is 10x4 divided by 2 x 2which is just 40.

8x5x2= 80 and

10x10= 100,  so

the SA of the right figure is 220 in^2

Answer:

16.

Step-by-step explanation:

n - 7 = 9

Add 7 to both sides

n = 9 + 7 = 16.

Answer:

16

Step-by-step explanation:

Given

n - 7 = 9 ( add 7 to both sides )

n = 16

Given:

The logarithmic equation is:

[tex]\log_618=x[/tex]

To find:

The exponential equation of this logarithmic equation.

Solution:

According to the properties of logarithm:

[tex]\log_bm=x\Leftrightarrow m=b^x[/tex]

We have,

[tex]\log_618=x[/tex]

Here, [tex]b=6, m=18[/tex]. Using the above property of logarithm, we get

[tex]18=6^x[/tex]

Therefore, the required exponential equation is [tex]18=6^x[/tex].

Answer:

the awnser is acctully 6^x =18

Step-by-step explanation:

Answer:

Cecily's claim is true for all values of b.

Step-by-step explanation:

Cecily's claim is true for all values of b.

If she graphs y = mx, and then y = mx + b, and then y = mx + c, and so on, she will find that her graphs are all straight lines that are parallel to each other (as they will all have the same slope, m).

(1, 2) because that's where the lines intersect!

Answer: (1, 2)

Step-by-step explanation:

The solution of the systems of equations graphed can be found where the two linear lines intersect. In this graph, the lines intersect at 1 in the x-axis (the line with arrows that runs from left to right" and at 2 in the y-axis (the line with arrows that runs north to south).

Answer:

13.62 m

Step-by-step explanation:

We are to determine the value of the adjacent side given the value of the hypotenuse

we would use cos to determine this value

cos 63 = adjacent / hypotenuse

0.45399 = x / 30

x = 30 x 0.45399 = 13.62

Answer:

Hope this helps!

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x-intercept(s):  

(1/log(36),0)

y-intercept(s):

(0,−1)

Step-by-step explanation:

it might be the last one

may it helped u

Answer:

o really sis/bro hsgsmhsndjd

Answer:

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196

Step-by-step explanation:

1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0 2 8 8 4 1 9 7 1 6 9 3 9 9 3 7 5 1 0 5 8 2 0 9 7 4 9 4 4 5 9 2 3 0 7 8 1 6 4 0 6 2 8 6 2 0 8 9 9 8 6 2 8 0 3 4 8 2 5 3 4 2 1 1 7 0 6 7 9 8 2 1 4 8 0 8 6 5 1 3 2 8 2 3 0 6 6 4 7 0 9 3 8 4 4 6 0 9 5 5 0 5 8 2 2 3 1 7 2 5 3 5 9 4 0 8 1 2 8 4 8 1 1 1 7 4 5 0 2 8 4 1 0 2 7 0 1 9 3 8 5 2 1 1 0 5 5 5 9 6 4 4 6 2 2 9 4 8 9 5 4 9 3 0 3 8 1 9

Answer:

3/4

Step-by-step explanation:

2 problems consist 8 choices of answers.

the events for the correct answer are 2

and the events for incorrect answer are 6

so, the probability that she answered neither of the problems correctly = 6/8 = 3/4

Answer:

f⁻¹(x) = (x+1)/2

Step-by-step explanation:

Given the function f(x) = 2x - 1, we are to find its inverse;

Let y = f(x)

y = 2x - 1

Replace y with x

x = 2y - 1

Make y the subject of the formula

2y = x + 1

Divide both sides by 2

2y/2 = (x+1)/2

y = (x+1)/2

Replace y with f⁻¹(x)

f⁻¹(x) = (x+1)/2

Hence the required inverse is (x+1)/2

Answer:

(1) 102.55 in

(2)  316.69 in²

Step-by-step explanation:

Applying (1)

a² = b²+c².............. Equation 1

Given: a = 25 in, b = 20 in,

25² = 20²+b²

b² = 25²-20²

b² = 225

b = √225

b = 15 in

b = diameter of the semicircle

The lenght of the semicircle = πd/2 = 3.14×15/2 = 23.55 in

Therefore,

P = 37+25+17+23.55 = 102.55 in

(2) Applying,

A = Area of the tripezium- area of the semi circle

A = [h(a+b)/2]-πh²/8.............. Equation 2

Given; h = 15 in, a = 17 in, b = 37 in

A = (15(17+37)/2)-(3.14×15²/8)

A = 405-88.31

A = 316.69 in²

Answer:

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Step-by-step explanation:

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EDIT BCS YALL ARE GAEY A F

Answer:

Step-by-step explanation:

They are similar because they have two respective congruent angles

Answer:

A) 2 inches

Step-by-step explanation:

Answer:

h = 6.05 cm

Step-by-step explanation:

Volume of a cylinder = πr²h

Where,

Pi, π = 3.14

Radius, r = diameter/2 = 6 cm/2

= 3 cm

Height, h = ?

Volume if the cylinder = 171 c ³

Volume of a cylinder = πr²h

171 = 3.14 * 3² * h

171 = 3.14 * 9 * h

171 = 28.26 * h

171 = 28.26h

h = 171/28.26

h = 6.0509554140127

Approximately,

h = 6.05 cm