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3 years ago

Mark's father was putting in a new kitchen floor. The dimensions were 8 feet by 12 feet. If each tile was 1 square foot,

Mathematics

1 answer:

igomit [66]3 years ago

7 0

Answer:

Step-by-step explanation:

Total area is 12*8=96 square feet

Each tile is 1 square foot

The required tiles are therefore 96/1=96

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What is the value of x in the triangle?

kvasek [131]

The value of x in the right triangle is 4 units.

<h3>How to find the side of a right triangle?</h3>

The side x of the right triangle can be found using trigonometric ratios.

Therefore,

sin 30° = opposite / hypotenuse

sin 30 = x / 8

1 / 2 = x /8

cross multiply

8 = 2x

divide both sides by 2

8 / 2 = 2x / 2

x = 4

learn more on right triangle here: brainly.com/question/10060696

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2 years ago

What value must k take in order for the following expression to be greater than zero?

svetlana [45]

Basically anything greater than zero...k>0

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3 years ago

Help please asap !! Enter your answer in the box

aleksandr82 [10.1K]

I believe the equation would be y = -1/4x + 4

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3 years ago

Factor over complex numbers 2x^4+36x^2+162

Darina [25.2K]

<u>Answer:</u>

Factor over complex numbers of $2 x^{4}+36 x^{2}+162$ is $2(x+3 i)^{2}(x-3 i)^{2}$

<u>Solution: </u>

From question given that

$2 x^{4}+36 x^{2}+162$ → (1)

On substituting $x^{2}=y$ in equation (1),

$=2 y^{2}+36 y+162$

Taking 2 as a common in above expression,

$=2\left(y^{2}+18 y+81\right)$

Rewrite the above expression,

$=2\left[y^{2}+2(y)(9)+9^{2}\right]$

$=2(y+9)^{2}$ $\left[\text { Using }(a+b)^{2}=a^{2}+2 a b+b^{2}\right]$

$=2\left(x^{2}+9\right)^{2}$ $\left[\text { since } y=x^{2}\right]$

$\left[\text { Using } a^{2}+b^{2}=(a+i b)(a-i b), \text { where } i=\sqrt{-1}\right]$

$=2[(x+3 i)(x-3 i)]^{2}$

$=2(x+3 i)^{2}(x-3 i)^{2}$

Hence Factor over complex numbers of $2 x^{4}+36 x^{2}+162$ is $2(x+3 i)^{2}(x-3 i)^{2}$

7 0

4 years ago

A father decided to give twenty five percent of his monthly income to his three children as their monthly allowance. The eldest

Helen [10]

Answer:

The youngest child will receive $2000

Step-by-step explanation:

A father decided to give 25% of his monthly income to his three children as their monthly allowance.

The eldest child got 45% of the allowance and the youngest got 20%. This means that the second child got:

100 - (45 + 20) = 100 - 65 = 35%

The second child received $3500.

Let the 25% of his monthly income be x.

Hence:

35% of x = 3500

=> $\frac{35}{100} * x = 3500$

$x = \frac{3500 * 100}{35}$

x = $10000

The amount the man shared among his children is $10000.

Hence, the youngest child (20%) will receive:

20% of $10000

$\frac{20}{100} * 10000$

= $2000

The youngest child will receive $2000.

3 0

3 years ago