Solve 2/3x+1/2y=2 For y

Find the lateral area of the pyramid to the nearest whole number.

son4ous [18]

Answer:

The correct answer is first option. 204 m²

Step-by-step explanation:

Formula:-

Lateral surface area of square pyramid = 4 * area of triangle

To find the slant height of triangle(l)

l = √(6² + 6²) = 6√2

To find the area of triangle

Area = bh/2

b = 12 m

h = 6√2

Area = (12 * 6√2)/2 = 36√2

To find the lateral surface area of Prism

Lateral surface area of square pyramid = 4 * area of triangle

= 36√2 * 4 = 203.64 ≈ 204 m²

First answer is the correct option

7 0

3 years ago

The date of death for a widow was 2019. If the estate was valued at $2,186,000 and the estate was taxed at 40 percent, what was

Airida [17]

Answer:

Value of tax liability will be zero

Step-by-step explanation:

Given:

Total estate value = $2,186,000

Estate tax = 40 %

Find:

Heir's tax liability = ?

Computation:

Total taxable estate = Total estate value - Estate Exemption

Note: According to Exhibit 19-6 for Estate Exemption, Estate Exemption is 11.4 million.

We know that Estate Exemption is higher than total estate value, therefore will be no tax liability on the successor, so the value of tax liability will be zero.

7 0

2 years ago

What other point will appear on the line representing this proportional relationship where the constant of proportionality is 2?

Bumek [7]

Answer:

B

Step-by-step explanation:

The equation of proportionality is

y = kx ← k is the constant of proportionality

Here k = 2 , then

y = 2x

This means that the y- coordinate is twice the x- coordinate

The only point where this is true is the point

(2, 4 ) → B

4 0

2 years ago

A farmer was asked how many cows and chickens she has. The farmer replied, "between the cows and the chickens, there are 162 eye

Kazeer [188]

<h2>☀️ Solution:</h2>

We all know that,

All animals have 2 eyes.
All cows have 4 feet
All hens have 2 feet

So, Let the no. of cows be x and chickens be y

According to question,

Total number of eyes = 162

Framing equation,

⇛ Eyes of cows + Eyes of chickens = 162

⇛ 2x + 2y = 162

⇛ 2(x + y) = 162

⇛ x + y = 162/2 = 81 -----------(1)

According to question(Cond.-1)

Total number of feet = 270

Framing equation,

⇛ Feet of cows + Feet of chickens = 270

⇛ 4x + 2y = 270

⇛ 2(2x + y) = 270

⇛ 2x + y = 135 ----------(2)

Subtracting eq.(1) from eq.(2),

⇛ 2x + y - (x + y) = 135 - 81

⇛ 2x + y - x - y = 54

⇛ x = 54

Putting value of x in eq.(1),

⇛ 54 + y = 81

⇛ y = 81 - 54

⇛ y = 27

⚘ So, Total number of animals,

Number of cows = x = 54
Number of chickens = y = 27

Hence, solved ! $!$

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8 0

3 years ago

If f(x)= x/2-2 and g(x)= 2x^2+x-3, find (f+g)(x).

adelina 88 [10]

Answer: B. $2x^2 + \frac{3x}{2} - 5$

Step-by-step explanation:

Here, the given functions are,

$f(x) = \frac{x}{2} - 2$

$g(x) = 2x^2 + x - 3$

$(f+g)x = f(x) + g(x)$

$(f+g)x=\frac{x}{2} - 2 + 2x^2 + x - 3$

$(f+g)x=\frac{3x}{2} - 5 + 2x^2$

$(f+g)x=2x^2 + \frac{3x}{2} - 5$

Option B is correct.

5 0

2 years ago

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