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3 years ago

Justin is marking a border for a garden. He walks 200 feet to the east, then turns and

Mathematics

1 answer:

ELEN [110]3 years ago

3 0

Answer:

d = 233.23 feet

Step-by-step explanation:

Given that,

Justin walks 200 feet to the east, then turns and walks 120 feet due south.

We need to find the total distance walked by Justin. Let the distance be d.

We can use the Pythagoras theorem to find it such that,

$d=\sqrt{d_1^2+d_2^2} \\\\d=\sqrt{200^2+120^2} \\\\d=233.24\ feet$

So, he walk 233.23 feet in all.

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Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the t

harina [27]

Answer:

Proportion states that the two fractions or ratios are equal

As per the statement: Mrs. Hwang is taking her vehicle to the shop to have the gas tank expanded by 10 gallons. Now, it costs her $42.56 to fill the tank. Once the new tank is in, it will cost her $72.96

Let the tank size now be x

Since, the gas tank expanded by 10 gallons = x + 10

by definition of proportion ;

$\frac{x}{42.56}=\frac{x+10}{72.96}$

by cross multiply we get;

$72.96x = 42.56(x+10)$

using distributive property; $a\cdot (b+c) =a\cdot b + a\cdot c$

$72.96x = 42.56x+425.6$

Subtract 42.56x from both sides we get;

$30.4x =425.6$

Divide both sides by 30.4 we get;

x = 14

Therefore, the tank is her now is, 14 gallons

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3 years ago

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What is the sum of 1/6 and 5/12

torisob [31]

Answer:

7/12

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3 years ago

For any perfect square trinomial (quadratic), the constant term (last term) must be positive.

Ronch [10]

Answer:

For the perfect square trinomial (quadratic) i.e. $\left(x\:+\:3\right)^2$ , the constant term (last term) is positive.

Step-by-step explanation:

"Perfect square trinomials" are termed as the quadratics that are the outcomes of squaring binomials.

For example:

$\left(x\:+\:3\right)^2$

$\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2$

$a=x,\:\:b=3$

$=x^2+2x\cdot \:3+3^2$

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Therefore, for the perfect square trinomial (quadratic) i.e. $\left(x\:+\:3\right)^2$ , the constant term (last term) is positive.

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3 years ago

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Lubov Fominskaja [6]

$x= \frac{6}{7} + \frac{25}{14} = \frac{12+25}{14} = \frac{37}{14}$

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4 years ago

By careful reorganization, a company was able to reduce the cost of operation from $21,840 per month to $17,190 per month. By wh

Ede4ka [16]

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3 years ago

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