Write each expression as a difference. a+5

Mathematics

1 answer:

SCORPION-xisa [38]2 years ago

8 0

The equivalent expression of a + 5 is -(-a - 5)

<h3>How to rewrite the expression?</h3>

The expression is given as:

a + 5

Multiply by 1

1 * (a + 5)

Express 1 as -1 * -1

-1 * -1 * (a + 5)

Open the bracket

-1 * (-a - 5)

This gives

-(-a - 5)

Hence, the equivalent expression of a + 5 is -(-a - 5)

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A 30% acid solution was mixed with a 10% acid solution. The result was 600g of a 15% solution. How much of each solution was use

AlexFokin [52]

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3 years ago

How to find the area of a square ABC D

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Answer:

The answer to your question is 13 u²

Step-by-step explanation:

We know that the small triangle is surrounded by right triangles so we can use the Pythagorean theorem to find the lengths of the small triangle

AD² = 3² + 2²

Simplify

AD² = 9 + 4

AD² = 13

AD = $\sqrt{13}$

Find the area of the square

Area = side x side

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Find the area of the regular trapezoid. The figure is not drawn to scale. The top side is 4, the bottom side is 7, and both side

svp [43]

A regular trapezoid is shown in the picture attached.

We know that:
DC = minor base = 4
AB = major base = 7
AD = BC = lateral sides or legs = 5

Since the two legs have the same length, the trapezoid is isosceles and we can calculate AH by the formula:

AH = (AB - DC) ÷ 2
= (7 - 5) ÷ 2
= 2 ÷ 2
= 1

Now, we can apply the Pythagorean theorem in order to calculate DH:
DH = √(AD² - AH²)
= √(5² - 1²)
= √(25 - 1)
= √24
= 2√6

Last, we have all the information needed in order to calculate the area by the formula:

$A = \frac{(AB + CD)DH}{2}$

A = (7 + 5) × 2√6 ÷ 2
= 12√6

The area of the regular trapezoid is 12√6 square units.