If the list price of bicycle is Rs 1000 and it is sold for Rs 900,cfind the list price of the article.

The surface area of the pyramid is 74.25 square meters.

Surface area is the total area that the surface of an object occupies. It is the sum of the areas of all the faces, sides, and curved surfaces of an object. Surface area is usually measured in square units, such as square meters, square feet, or square centimeters.

A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex (known as the apex). Pyramids are named according to the shape of their base.

In the given question,

The area of the base is simply the area of a square, which is:

Area of base = length x width = 4.5m x 4.5m = 20.25 square meters

To find the area of each triangular face, we first need to find the length of the slant height (the height of the triangle).

We can use the Pythagorean theorem to do this:

h²= (1/2 x base)² + height²

h² = (1/2 x 4.5)² + 6²

h² = 2.25 + 36

h² = 38.25

h = √38.25

h = 6.18 meters (rounded to two decimal places)

Now that we know the slant height, we can find the area of each triangular face:

Area of one triangular face = (1/2 x base x height) = (1/2 x 4.5 x 6) = 13.5 square meters

Since there are four triangular faces on a square pyramid, we need to multiply this by 4 to find the total area of the triangular faces:

Total area of triangular faces = 4 x 13.5 = 54 square meters

Finally, we can find the surface area of the pyramid by adding the area of the base and the area of the triangular faces:

Surface area = Area of base + Total area of triangular faces

Surface area = 20.25 + 54

Surface area = 74.25 square meters

Therefore, the surface area of the pyramid is 74.25 square meters.

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Answer:

B. 19

Step-by-step explanation:

A triangle has three angles that add up to 180°.

86 + 32 = 118°

180 - 118 = 62°

The third angle has to equal 62°.

3x + 5 = 62°

3x = 57

x = 19°

Hope that helps.

Answer:

\(86 + 32 + 3x + 5 = 180 \\ 123+ 3x = 180 \\ 3x = 57 \\ x = 19\)

Answer:

31/2 or 15½

Step-by-step explanation:

From the question given above, the following data were obtained:

First term (a) = ½

9th term (T₉) = 128

Sum of 5th term (S₅) =?

Next, we shall determine determine the common ratio of the sequence. This can be obtained as follow:

First term (a) = ½

9th term (T₉) = 128

Common ratio (r) =?

T₉ = ar⁸

128 = ½ × r⁸

Cross multiply

r⁸ = 128 × 2

r⁸ = 256

Express 256 in index form with 2 as the base

r⁸ = 2⁸

r = 2

Finally, we shall determine the sum of the 5th term. This can be obtained as follow:

First term (a) = ½

Common ratio (r) =

Number of term (n) = 5

Sum of 5th term (S₅) =?

Sₙ = a[rⁿ – 1] / r – 1

S₅ = ½[2⁵ – 1] / 2 – 1

S₅ = ½[32 – 1] / 1

S₅ = ½ × 31

S₅ = 31/2 or 15½

Thus, the sum of the 5th term of the sequence is 31/2 or 15½

Answer:

3.6

Step-by-step explanation:

Bhcnjxyfoufkxxfuiudg

Answer:

its C. do you need an explanation? i could give one if you want

Step-by-step explanation:

Answer:

2/9 of the high school students play string instruments.

Step-by-step explanation:

\( \frac{1}{3} \times \frac{2}{3} = \frac{2}{9} \)

Answer:

48.5 us cups

Step-by-step explanation:

Answer:

48 cups 4 fluid ounces. (us)

Step-by-step explanation:

Answer:

The answer is 4(7+4)

Answer:

True

Step-by-step explanation:

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expressionns.

Given the algebraic expressions,

\(\frac{1}{2}x + 4 \\ x + 6 - \frac{1}{2}x - 2\)

Substituting 2 for x in the first expression gives:

(1/2 × 2) + 4

1 + 4

5

Substituting 2 for x in the second expression gives:

2 + 6 - (1/2 ×2) - 2

8 - 1 - 2

8 - 3

5

Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

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Answer:

I promise you that it is 120,000cm

Step-by-step explanation:

Answer:

120,000 cm

Step-by-step explanation:

multiply 1.2 by 100,000

Answer:

what are you saying?

Step-by-step explanation:

Answer:

40 m^3

Step-by-step explanation:

Volume of a pyramid =  1/3 * base area * height

  base area = 4 x 4

1/3 * (4x4) * 7.5 = 40 m^3

Answer:

11,494.0³

Step-by-step explanation:

Volume of a sphere= (4/3) × pi × radius³

4÷3 × 3.14 ×14³

= 11,494.0³

Answer:

skewed to the right

Step-by-step explanation:

Answer:

x=52.5

Step-by-step explanation:

2/3x-5=30

2/3x=35

x=52.5

Considering the expression of a line, the slope of line that passes through points (-2,7) and (-3,3) is 4.

A linear equation o line can be expressed in the form y = mx + b

where

Knowing two points (x₁, y₁) and (x₂, y₂) of a line, the slope m can be calculated as:

m= (y₂ - y₁)÷ (x₂ - x₁)

In this case, being (x₁, y₁)= (-2, 7) and (x₂, y₂)= (-3, 3), the slope can be calculated as:

m= (3 -7)÷ (-3 -(-2))

m= (3 -7)÷ (-3 +2)

m= (-4)÷ (-1)

m= 4

Finally, the slope is 4.

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Answer:

The answer is 132 square units

Step-by-step explanation:

Cutting the shape

we have two trapeziums

A=(area of small +Area of big)Trapezium

A=1/2(3+9)8 + 1/2(9+12)8

A=1/2×12×8 + 1/2×21×8

A=12×4 + 4×21

A=48+84

A=132 square units

Answer:

To find the values of x for which the expressions x^2 - 10x + 31 and x + 1 are equal to each other, we can set them equal to each other and solve for x.

Setting x^2 - 10x + 31 equal to x + 1:

x^2 - 10x + 31 = x + 1

Rearranging the equation to standard quadratic form:

x^2 - 10x + 30 = 0

Now, we can factorize the quadratic expression:

(x - 5)(x - 6) = 0

Setting each factor equal to zero and solving for x:

x - 5 = 0 or x - 6 = 0

x = 5 or x = 6

So, the values of x for which the expressions x^2 - 10x + 31 and x + 1 are equal to each other are x = 5 and x = 6.

Answer:

To find the values of x for which the expressions x^2 - 10x + 31 and x + 1 are equal to each other, we can set them equal to each other and solve for x.

Setting x^2 - 10x + 31 equal to x + 1:

x^2 - 10x + 31 = x + 1

Rearranging the equation to standard quadratic form:

x^2 - 10x + 30 = 0

Now, we can factorize the quadratic expression:

(x - 5)(x - 6) = 0

Setting each factor equal to zero and solving for x:

x - 5 = 0 or x - 6 = 0

x = 5 or x = 6

So, the values of x for which the expressions x^2 - 10x + 31 and x + 1 are equal to each other are x = 5 and x = 6.

Answer:

x = 5 or x = 6

Step-by-step explanation:

Given expressions:

\(\begin{cases}x^2-10x+31\\x+1\end{cases}\)

To find the values of x for which the given expressions are equal to each other, first set the expressions equal to each other and rearrange so that we have a quadratic equal to zero:

\(\begin{aligned}x^2-10x+31&=x+1\\x^2-10x+31-x&=x+1-x\\x^2-11x+31&=1\\x^2-11x+31-1&=1-1\\x^2-11x+30&=0\end{aligned}\)

Factor the quadratic:

\(\begin{aligned}x^2-11x+30&=0\\x^2-6x-5x+30&=0\\x(x-6)-5(x-6)&=0\\(x-5)(x-6)&=0\end{aligned}\)

Using the zero-product property, set each factor equal to zero and solve for x:

\(\begin{aligned}x-5=0 \implies x&=5\\x-6=0 \implies x&=6\\\end{aligned}\)

Therefore, the values of x that make the given expressions equal to each other are x = 5 or x = 6.

Answer:

x = 5 or x = 6

Step-by-step explanation:

Given expressions:

\(\begin{cases}x^2-10x+31\\x+1\end{cases}\)

To find the values of x for which the given expressions are equal to each other, first set the expressions equal to each other and rearrange so that we have a quadratic equal to zero:

\(\begin{aligned}x^2-10x+31&=x+1\\x^2-10x+31-x&=x+1-x\\x^2-11x+31&=1\\x^2-11x+31-1&=1-1\\x^2-11x+30&=0\end{aligned}\)

Factor the quadratic:

\(\begin{aligned}x^2-11x+30&=0\\x^2-6x-5x+30&=0\\x(x-6)-5(x-6)&=0\\(x-5)(x-6)&=0\end{aligned}\)

Using the zero-product property, set each factor equal to zero and solve for x:

\(\begin{aligned}x-5=0 \implies x&=5\\x-6=0 \implies x&=6\\\end{aligned}\)

Therefore, the values of x that make the given expressions equal to each other are x = 5 or x = 6.

Answer:

Below in bold.

Step-by-step explanation:

a³+1+2a²+2a = (a + 1)(a^2 + a + 1)

a^3 - 1 = (a - 1)(a^2 + a + 1)

a^4 + a^2 + 1) = (a^2 - a + 1)(a^2 + a + 1)

So the LCM is (a + 1)(a - 1) (a^2 - a + 1)(a^2 + a + 1).

Answer:

Step-by-step explanation:

cos A = \(\frac{\sqrt{8} }{3}\)

Answer:

28

Step-by-step explanation:

-7*2=-14*-2=28

The probability of the four events are: Event 1: 1/84Event 2: 3/14Event 3: 15/28 Event 4: 5/21

The total number of drinks = 9The number of sweet teas = 3The number of unsweetened teas = 6If you select 3 drinks at random, the following events can take place:

Event 1: All three drinks are sweet teas. The probability of event 1 = (Number of ways in which all three drinks can be sweet teas) / (Number of ways to select 3 drinks)The number of ways in which all three drinks can be sweet teas = 3C3 = 1 (because all three sweet teas are already fixed)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 1 = 1/84 = 1/84

Event 2: Exactly two drinks are sweet teas. The probability of event 2 = (Number of ways in which two drinks are sweet teas and one is an unsweetened tea) / (Number of ways to select 3 drinks)The number of ways in which two drinks are sweet teas and one is an unsweetened tea = (3C2 × 6C1) = 18 (because you can choose 2 sweet teas from 3 and 1 unsweetened tea from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 2 = 18/84 = 3/14

Event 3: Exactly one drink is a sweet tea. The probability of event 3 = (Number of ways in which one drink is a sweet tea and the other two are unsweetened teas) / (Number of ways to select 3 drinks)The number of ways in which one drink is a sweet tea and the other two are unsweetened teas = (3C1 × 6C2) = 45 (because you can choose 1 sweet tea from 3 and 2 unsweetened teas from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84Therefore, the probability of event 3 = 45/84 = 15/28

Event 4: All three drinks are unsweetened teas. The probability of event 4 = (Number of ways in which all three drinks can be unsweetened teas) / (Number of ways to select 3 drinks)The number of ways in which all three drinks can be unsweetened teas = 6C3 = 20 (because you can choose 3 unsweetened teas from 6)The number of ways to select 3 drinks = 9C3 = (9 × 8 × 7)/(3 × 2 × 1) = 84 Therefore, the probability of event 4 = 20/84 = 5/21

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The percentile ranks of 26 and 43 are given as follows:

A measure is said to be in the xth percentile of the data-set if it the bottom separator of the bottom x% of measures of the data-set and the top (100 - x)% of measures, that is, it is greater than x% of the measures of the data-set.

From the 13 elements, we have that:

Hence the percentile rank of each measure is given as follows:

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The end behavior of the polynomials are as follows;

(a) y = x³ - 9·x² + 8·x - 14

End behavior; y → ∞ as x → ∞

\({}\)                        y → -∞ as x → -∞

(b) y = -8·x⁴ + 13·x + 800

End behavior; y → -∞ as x → -∞

\({}\)                        y → -∞ as x → ∞

The end behavior of a polynomial is the characteristics of the graph of the polynomial as the input (x-values), tends to plus and minus infinity.

The factors that effect the end behavior of a polynomial are;

The degree of the polynomial, (even or odd)

The sign of the leading coefficient of the polynomial (positive or negative)

The leading coefficient is the coefficient of the term with the highest degree.

(a) The polynomial, function, y = x³ - 9·x² + 8·x  - 14

The specified polynomial is a third degree polynomial, with a positive leading coefficient of 1, the end behavior is therefore;

y tends to positive infinity as x tends to positive infinity

y tends to negative infinity as x tends to negative infinity

End behavior;

y → ∞ as x → ∞

y → -∞ as x → -∞

(b) The polynomial function can be expressed as follows;

y = -8·x⁴ + 13·x + 800

The above polynomial of degree 4 is an even degree polynomial

The leading coefficient of the polynomial is -8, therefore, the leading coefficient is negative

The shape of the graph of the polynomial is therefore ∩ shaped, such that the end behavior is as follows;

y-values approaches negative infinity as x approaches negative infinity

y-values approaches negative infinity as x approaches positive infinity

End behavior;

y → -∞ as x → -∞

y → -∞ as x → ∞

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Answer: 11 points per quarter

Step-by-step explanation:

To find the Unit rate of 44 points in 4 quarters.

It is given that in 4 quarters there are 44 points

so we will divide 44 points by 4 quarters to get how many points are there in 1 quarter.

the unit rate = 44/4 = 11 points

There are 11 points in 1 quarter.