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3 years ago

4.2y+0.8=6.2y–(1.1y+0.8)+1.2

Mathematics

2 answers:

Flura [38]3 years ago

7 0

4.2y + 0.8 = 6.2y - (1.1y + 0.8) + 1.2

Multiply/distribute the - into (1.1y + 0.8)

4.2y + 0.8 = 6.2y - 1.1y - 0.8 + 1.2

Combine like terms

4.2y + 0.8 = 5.1y + 0.4

Subtract 4.2y on both sides

0.8 = 0.9y + 0.4

Subtract 0.4 on both sides

0.4 = 0.9y

Divide 0.9 on both sides

$\frac{0.4}{0.9} = y$

s344n2d4d5 [400]3 years ago

3 0

Y=4/9...(tell me if you need steps)

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ANSWER FAST ITS URGENT

Vlad1618 [11]

Answer:

9) 6.3 units

11) n=6√2 and m=12,

10) m=6√3, n=6

12) 330.6 ft

Step-by-step explanation:

1) The Pythagoras Theorem says that, the square of the hypotenuse is the sum of the squares of the two shorter legs.

Let the missing side, which is the hypotenuse be x.

Then

${x}^{2} = {2}^{2} + {6}^{2}$

${x}^{2} = 4 + 36$

${x}^{2} = 40$

$x = \sqrt{40}$

$x = 6.3$

The missing side is 6.3 units to the nearest tenth.

2) This is an isosceles right triangle.

This implies that, the two legs are equal.

$n = 6 \sqrt{2}$

The hypotenuse can be found using Pythagoras Theorem.

${m}^{2} = {(6 \sqrt{2} )}^{2} + {(6 \sqrt{2} )}^{2}$

${m}^{2} = 36(4)$

$m = \sqrt{36 \times 4} = 6 \times 2 = 12$

3) The side lengths of 30°-60°-90° are in the ratio, 2x,x√3,x

From the diagram, the hypotenuse is 12, therefore the other two legs are

$n = \frac{1}{2} (12) = 6$

and

$m = 6 \sqrt{3}$

4) The height of the monument is 115 feet, the hypotenuse is 350.

By Pythagoras Theorem,

${x}^{2} + {115}^{2} = {350}^{2}$

${x}^{2} = {350}^{2} - {115}^{2}$

${x}^{2} = 109275$

$x = \sqrt{109275} = 330.6 ft$

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4 years ago

The rectangle and the square have the same area. Write down an

Helen [10]

Answer:

x² = (x-2) (x+3)

and

x = 6

Step-by-step explanation:

x² = (x-2) (x +3)

x² = x² + 3x - 2x - 6

x² = x² + x - 6

moving x² and -6 from LHS to RHS

x² - x² + 6= x

6 = x

x = 6

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3 years ago

You have 4 one-dollar bills and 4 five-dollar bills in your piggy bank. You select two bills at random, with replacement. What i

Mkey [24]

The probability that one would have selected 2 five-dollar bills is; 1/4.

<h3>What is the probability you will have selected 2 five-dollar bills?</h3>

It follows from the task content that the piggy bank contains; 4 one-dollar bills and 4 five-dollar bills to make a total of 8 bills.

Hence, provided the probability events are carried out with replacement, the probability to have selected 2 five-dollar bills is;

= 4/8 × 4/8

= 1/4.