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3 years ago

5. Use any method to solve the equation. If necessary, round to the nearest hundredth.

Mathematics

1 answer:

DanielleElmas [232]3 years ago

7 0

Answer:

2.45, -2.45

Step-by-step explanation:

Since the equation has only one term in the unknown "x", we can solve for it isolating "x" on one side of the equal sign:

$8x^2-48=0\\8x^2=48\\x^2=\frac{48}{8} \\x^2=6\\x=+/-\sqrt{6} \\x=+/- 2.449$

Which we can round to: x = - 2.45 and x = 2.45

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A triangular plate with base 2 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Expre

g100num [7]

Answer:

Hydrostatic Force = 35.28KN

Step-by-step explanation:

To solve this question, let's consider integrating the hydrostatic force from the top of the triangle to the bottom.

Formula for a thin horizontal slice of the triangle the force is;

δF=ρgxwδx

Where w is width of triangle; ρ is density of water and g is acceleration due to gravity

At depth x, the width of the triangle is w=2/3x.

Thus, F = (3,0)∫)ρgxwδx

=(2/3)ρg[(3,0)∫)x²δx]

= integrating, we have;

F = (2/3)ρg[(3³/3) - (0³/3)]

F = (2/5)ρg [27/3] = (2/5)(1000)(9.8)(9) = 35280 N = 35.28 KN

6 0

3 years ago

1)The price of a pair of boot was reduced from $80 to $60. By what percentage

Elan Coil [88]

Answer:

1) 25%

2) $17.54

Step-by-step explanation:

1) The boots were reduced from $80 to $60, therefore the total amount they were reduced by in terms of money is $20. To find out what percentage $20 is of $80, you divide.

20/80 = 0.25

0.25 = 25 % (to change a decimal to a percentage, you multiply by 100)

2) 20% = 0.20 (to change a percentage to a decimal, you divide by 100)

To find 20% of $87.70, multiply 0.20 by 87.70.

87.70 x 0.20 = 17.54

5 0

3 years ago

Which Event Has Exactly 12 Outcomes A.) Tossing A Coin And Randomly Choosing One Of The 4 Different Cards B.) Rolling A Number C

Katen [24]

Pretty sure it’s D because 6•2=12

3 0

2 years ago

Choose the model for the problem 2/3 divided by 2.<br> 4/6<br> 1/6<br> 1/3<br> 2/3

olasank [31]

2/3 : 2 = 2/3 x 1/2 = 2/6 = 1/3

6 0

2 years ago

Read 2 more answers

Solve by completing the square. Round your answers to the nearest tenth and then locate the greater solution. <img src="https://

Andrews [41]

Step-by-step explanation:

Step 1: Write our Givens

${x}^{2} + 10x - 7 = 0$

Move the constant term ,(the term with no variable) to the right side.

Here we have a negative 7, so we add 7 to both sides

${x}^{2} + 10x = 7$

Next, we take the linear coeffeicent and divide it by 2 then square it.

$( \frac{10}{2} ) {}^{2} = 25$

Then we add that to both sides

${x}^{2} + 10x + 25 = 7 + 25$

${ {x}^{2} } + 10x + 25 = 32$

Next, we factor the left,

$(x + 5)(x + 5) = 32$

we got 5 because 5 add to 10 and multiply to 25 as well.

so we get

$(x + 5) {}^{2} = 32$

This is called a perfect square trinomial.

Next, we take the square root of both sides

$x + 5 = ± \sqrt{32}$

± menas that we have a positive and negative solution.

Subtract 5 form both side so we get

$x = - 5± \sqrt{32}$

The greater solution is when sqr root of 32 is positive so the answer to that is

$\sqrt{32} - 5 = 0.7$

3 0

2 years ago