21) A pyramid has a square base with a side
length of 8 inches, a height of 11 inches and a slant
height, I, of 11.7 inches. Calculate the total surface area of
the pyramid.

Using law of logarithm and exponent rules, the value of the unknown is 5

logarithms are the other way of writing the exponents. A logarithm of a number with a base is equal to another number. A logarithm is just the opposite function of exponentiation. For example, if 102 = 100 then log10 100 = 2.

Logₐ x = n  or   aⁿ = x

Where b is the base of the logarithmic function.

This can be read as “Logarithm of x to the base b is equal to n”.

In this case, we just need to solve for the value of b

4 = logₐ(625)

4 = 1 / log625(a)

multiply both sides by log₆₂₅(x)

log₆₂₅(a) / 4 = 1/4

applying log rules

a = 5

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Answer:

-7, -21, 0, 13, 24

Step-by-step explanation:

Answer:

48 reindeer

Step-by-step explanation:

the 5 part of the ratio relates to 60 moose , then

60 ÷ 5 = 12 ← value of 1 part of the ratio

then

4 × 12 = 48 ← number of reindeer

It would be 89.

You can also just look up a list of prime numbers online.

Answer:

Step-by-step explanation:

Me personally, I think buffets are the best because you can take as music food as you much, without being charged for much! But thats only for some buffets. If you go to a chinese buffet, they might lower the price allowing you to get as much food as you please!

Answer:

1073333/5000000

Step-by-step explanation:

Convert to a simplified fraction by placing the numbers to the right of the decimal over 10000000. Reduce the fraction.

Answer:

1. -5-6=-11

2. -9+7= -2

3. -3-11= -14

4. -5-13= -18

5. -11+19=  8

6. 14-7= 7

Step-by-step explanation:

Answer:

-11, -2, -14, -18, 8, 7

Step-by-step explanation:

Answer:

im drunk so gfhdjskal

Step-by-step explanation:

Answer:

Below

Step-by-step explanation:

Difference= ‘-’

=

\(x - 5\)

Answer:

x = 9

Step-by-step explanation:

To solve the equation 2x - 7 + 3x = 4x + 2 for x, you can follow these steps:

Combine like terms on both sides of the equation. Add the x terms together and move the constant terms to one side of the equation:

2x + 3x - 4x = 2 + 7

Simplifying the left side: x = 9

Simplify the right side of the equation:

x = 9

Therefore, the solution to the equation is x = 9.

The required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

Given the diagram of the hanger which one side has 10 + 5x  and other side has 11.

To find the equation, equate the expression of one side to the numerical value of the other side. On solving the equation gives the value of x.

Thus, the equation is 10 + 5x = 11.

Consider the equation 10 + 5x = 11

On subtracting 10 from each side gives,

5x = 1

Divide each side by 5 gives,

x = 1/5.

Hence,  the required equation that represent the hanger is 10 + 5x = 11 and the value of x is 1/5.

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Answer:

Number 3 and 4

Step-by-step explanation:

We know a line is perpendicular to another line if their slopes are the opposite reciprocals of each other

From the equation of 3x-y=10, we write this in slope-intercept form as

y=3x-10

Therefore, the slope of this line is 3

The opposite reciprocal of 3 is -1/3

Looking at the answer choices, 3 and 4 have slopes of -1/3

Answer:

the sum of two whole numbers is always greater than either number because even if one of the numbers to be added is 0, the answer will, well, not be greater, but at least equal to it.

Step-by-step explanation:

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Answer:

C

Step-by-step explanation:

First find how many games they need to have 90% by multiplying .9(30)=27

then, 15(.8)=12

Then 27-12=15

Answer:

c                                        

Step-by-step explanation:

Answer:

86

Step-by-step explanation:

the square is 7×8 = 56

the triangles: (3,5×8)/2 = 28/2 = 15

56+15+15 = 86

n - 23,000

From the question, we have the following

Number of undergraduate students = n

If the number of graduate students was approximately 23,000 fewer than the number of undergraduate students, this means that we will subtract 23,000 from the number of graduate students to get the required number as shown:

Number of graduate students in university A = n - 23,000

Hence the number of graduate students that attend University A is

(n - 23,000)

The value of the angle θ is approximately 24.2 degrees to 1 decimal place.

In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.

To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:

θ = arctan(23/52)

Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.

Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.

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Answer:

the answer is B

Step-by-step explanation:

2^6=64

64+26=90

Answer:

B) 90

Step-by-step explanation:

26 + 2⁶

Expand the power.

26 + (2 * 2 * 2 * 2 * 2 * 2)

Combine the twos.

26 + (4 * 4 * 4)

Combine two of the fours.

26 + 16 * 4

Multiply 16 and 4.

26 + 64

Add.

90

a) Strings of probability 0s and 1s, which reflect the results of the coin flips, make up the sample space, S.

In (b), I A wins equals (1, 01, 001, 0001), (ii) B wins equals (0, 10, 010, 0010), and (iii) (A U B) equals (1, 0, 01, 10, 001, 010, etc.).

(a) Strings of 0s and 1s, which reflect the results of the coin flips, make up the sample space, S. Each 0 denotes a tail, while each 1 denotes a head. Since there is no restriction on the number of coin flips that can take place, the sample space is unlimited. Due to the fact that every result can be expressed as a string of 0s and 1s, it is also a finite collection. (b) I A wins means that A flipped a head before B or C, and the results are 1, 01, 001, 0001, etc. (ii) B wins = 0 (zero), 10 (one), 010 (zero), 0010 (zero), etc., indicating that B flipped a head before A or C. (iii) (A U B) = 1, 0, 01, 10, 001, 010, etc., indicating that either A or B turned over a coin before C. Presumably, A flips first, followed by B, C, then A, and so on.

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Answer

Measure the shape yourself and follow the explanation.

Step-by-step explanation:

Measure each side of the Triangles with your ruler. Record it.

For example,

I measured and got 3cm, 3.5cm, 3.5cm.

Multiply by scale factor r 2.

for example, 3cm × 2 = 6cm

3.5cm × 2 = 7.0cm

3.5cm × 2 = 7.0cm

Use your pencil to draw your new numbers to form the new Triangle.

As for the second shape, measure each four sides using ruler

for example, I measured and had 4cm, 6cm, 4cm, 6m.

Multiply by scale factor r 2.

for example, 4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

4cm × 1/4 = 1 cm

6cm × 1/4 = 1.5cm

Use your ruler to measure 1cm, 1.5cm, 1cm and 1.5cm, then to draw your new shape

Answer:

x = 6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

The answer is B: 9/10

Step-by-step explanation:

You have to divide.

3/5 ÷ 2/3 =

3/5 × 3/2= 9/10

Answer:

Six years ago I was six I'm turning twelve in 2 days

Step-by-step explanation:

Answer:

a + 6

Step-by-step explanation:

My age six years ago was a.

My age now is a + 6.

Solution

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The circumference of circle is 2πr=176

2×

7

22

×r=176

r=176×

22

7

2

1

r=7×4=28cm

Area of circle is πr

2

=

7

22

×28×28=88×28=2464cm

2

Answer:

4x² + 22x - 12

Step-by-step explanation:

A = bh/2

A = (4x - 2)(2x + 12)/2

A = (8x² + 48x - 4x - 24)/2

A = (8x² + 44x - 24)/2

A = 4x² + 22x - 12

Answer:

2+4+5 = 11. since there are 5 green marbles the answer is 5/11