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3 years ago

An oak tree is planted when it is 650 centimeters tall. What is this height in meters?

Mathematics

1 answer:

Mashutka [201]3 years ago

7 0

Answer:

It is 6.5 meters

The centimeter practical unit of length for many everyday measurements. A centimeter is equal to 0.01(or 1E-2) meter.

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How to solve the distributive property to express 27+60

Verizon [17]

(27)+(60)
is the anwser

5 0

3 years ago

Harry is trying to solve the equation 0 = 2x2 − x − 6 using the quadratic formula. He has made an error in one of the steps belo

bija089 [108]

<h3><u>Given</u> - </h3>

➙ a quadratic equation in which Harry lagged due to an error made by him, 2x² - x - 6= 0

<h3><u>To solve</u> - </h3>

➙ the given quadratic equation.

<h3><u>Concept applied</u> - </h3>

➙ We will apply the quadratic formula as given in the question. So, let's study about quadratic equation first because we are supposed to apply the formula in equation.

What is quadratic equation?

➙ A quadratic equation in the variable x is an equation of the form ax² + bx + c = 0, where a, b, c are real numbers, a ≠ 0.

Now, what is quadratic formula?

➙The roots of a quadratic equation ax + bx + c = 0 are given by $\sf{\:\frac{-b \pm\: \sqrt {b ^ 2 - 4ac}}{2a}}$ provided b - 4ac ≥ 0.

<h3><u>Solution</u> - </h3>

here as per the given quadratic equation,

a = 2, b = -1 and c = -6

putting in the formula,

$\implies\sf{x=\frac{-(-1) \pm\: \sqrt {(-1)^2 - 4(2)(-6)}}{2(2)}}$

$\implies\sf{x=\frac{1 \pm\: \sqrt {1+48}}{4}}$

$\implies\sf{x=\frac{1 \pm\: \sqrt {49}}{4}}$

$\implies\sf{x=\frac{1 \pm\: 7}{4}}$

Solving one by one,

$\implies\sf{x=\frac{1 + \: 7}{4}}$

$\implies\sf{x=\frac{8}{4}}$

$\implies{\boxed{\bf{x=2}}}$

________________

$\implies\sf{x=\frac{1 - \: 7}{4}}$

$\implies\sf{x=\frac{-6}{4}}$

$\implies{\boxed{\bf{x=\frac{-3}{2}}}}$

________________________________

<em><u>Note</u> - Hey dear user!! You haven't provided the solution which was solved by Harry (A.T.Q). Please go through the solution as it will help you to find the error done by Harry.</em>

Hope it helps!! (:

4 0

2 years ago

A land owner is planning to build a fenced-in, rectangular patio behind his garage, using his garage as one of the "walls." He

Vitek1552 [10]

Answer:

Maximum area = 800 square feet.

Step-by-step explanation:

In the figure attached,

Rectangle is showing width = x ft and the side towards garage is not to be fenced.

Length of the fence has been given as 80 ft.

Therefore, length of the fence = Sum of all three sides of the rectangle to be fenced

80 = x + x + y

80 = 2x + y

y = (80 - 2x)

Now area of the rectangle A = xy

Or function that represents the area of the rectangle is,

A(x) = x(80 - 2x)

A(x) = 80x - 2x²

To find the maximum area we will take the derivative of the function with respect to x and equate it to zero.

$A'(x)=\frac{d}{dx}(80x-2x^{2})$

= 80 - 4x

A'(x) = 80 - 4x = 0

4x = 80

x = $\frac{80}{4}$

x = 20

Therefore, for x = 20 ft area of the rectangular patio will be maximum.

A(20) = 80×(20) - 2×(20)²

= 1600 - 800

= 800 square feet

Maximum area of the patio is 800 square feet.

7 0

3 years ago

Which is the solution to the inequality?

FinnZ [79.3K]

Answer:

$\Huge \boxed{x$

Step-by-step explanation:

To solve this problem, first you have to isolate it on one side of the equation.

First, subtract 1/4 from both sides.

1/4+x-1/4<5/6-1/4

Solve.

5/6-1/4=7/12

Therefore, the correct answer is A. x< 7/12.

3 0

4 years ago

Read 2 more answers

Help me please with this

Nutka1998 [239]

Answer:

Step-by-step explanation:

Solving the inequality

$\frac{x+3}{6}$ > $\frac{x}{4}$ + 1

Multiply through by 12 ( the LCM of 6 and 4 ) to clear the fractions

2(x + 3) > 3x + 12

2x + 6 > 3x + 12 ( subtract 2x from both sides )

6 > x + 12 ( subtract 12 from both sides )

- 6 > x , that is

x < - 6

The only value less than - 6 is - 10

Thus x = - 10 is a solution to the inequality

8 0

3 years ago

Read 2 more answers