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3 years ago

Find the surface area of the square pyramid

Mathematics

1 answer:

mojhsa [17]3 years ago

6 0

Answer:

4. 56 ft²

Step-by-step explanation:

SA = (4×4)+(4×½×4×5)

= 16+40

= 56

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Find the line y=a+bx which best approximates the data points

Vika [28.1K]

Answer:

y = 11.84x - 32.71

Step-by-step explanation:

Here, the given data points,

(−3,−70),(−1,−42),(1,−21),(2,−9),(4,14),

Let x represents the input value and y represents the output value,

So, the table that represents the given situation is,

x -3 -1 1 2 4

y -70 -42 -21 -9 14

By the above table,

$\sum x=3$

$\sum y=-128$

$\sum xy = 269$

$\sum x^2=31$

$\sum y^2 = 7382$

Let the equation of the line is,

y = bx + a

Where,

$a=\frac{\sum y \sum x^2 - \sum x\sum xy}{n(\sum x^2)-(sum x)^2}$

$b=\frac{n\sum xy - \sum x \sumy}{n(\sum x^2)-(\sum x)^2}$

n = number of data points = 5,

By substituting the values we get,

a = - 32.70547945 ≈ - 32.71,

b = 11.84246575 ≈ 11.84,

Hence, the equation of line would be,

y = 11.84x - 32.71

8 0

3 years ago

The weight of a Synetic ball varies directly with the cube of its radius a ball with a radius of 2 inches weighs 3.60 pounds fin

zhuklara [117]

<span>A wok frying pan is shaped like a spherical bowl with handles. A bit of experimentation at home persuades a cook that a wok holds about 3 L</span>

8 0

3 years ago

Accounting procedures allow a business to evaluate their inventory costs based on two methods: LIFO (Last In First Out) or FIFO

ivanzaharov [21]

Answer: The FIFO method result in lower cost of inventory than the LIFO method.

Step-by-step explanation:

In the FIFO method old inventories are used to determine cost of goods sold (COGS), which result to less income because COGS is lesser, while it is greater in LIFO.

However, in LIFO, old and outdated inventories are valued lower than the present price. It not a good indicator of ending inventory value.

B. To calculate the degree of freedom of the inventory sample given: 1. 225221, 2. 119100, 3. 100113, 4. 212200, 5. 248245.

STEP 1. Find the mean or average of the samples.

Let x be the sample average, and N the sample size which is 5

x = 225221 + 119100 + 100113 + 212200 + 248245/5 = 180975.8

STEP 2. Degree of freedom Df is given as Df = N - 1

Remember, N is the sample size given as 5.

Df = 5 - 1 = 4.

CONCLUSION:

This shows that four numbers from the samples given have the freedom to vary as long as the average remains 180975.8.

8 0

3 years ago

HELP I dont understand-

Naddik [55]

Step-by-step explanation:

If a radius of a circle and a tangent to a circle intersect at the point of tangency, then the radius and the tangent are perpendicular.

Answer: B

8 0

3 years ago

Read 2 more answers

Write a numerical expression for the phrase and simplify the expression. The sum of -6 and -10 increased by 11.

BlackZzzverrR [31]

Answer:

-116

Step-by-step explanation:

5 0

3 years ago