During a snowstorm, Aaliyah tracked the amount of snow on the ground. When the

Howard is designing a chair swing ride. The swing ropes are 55 meters long, and in full swing they tilt in an angle of 29? . How

Allushta [10]

Answer: 50.85 meters

<u>Step-by-step explanation:</u>

cos 29 = $\frac{55}{h}$

55 cos 29 = h

48.10 = h

Pole = h + 2.75

= 48.10 + 2.75

= 50.85

3 0

3 years ago

Read 2 more answers

On a coordinate grid, in which quadrant is the point (-5,4) located

lapo4ka [179]

Quadrant 2 is its location.

3 0

3 years ago

Read 2 more answers

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

Share £180 in the ratio<br> 1:9

Schach [20]

Answer:

18:162

Step-by-step explanation:

1:9

1+9=10

(1×180)÷10= 18

(9×180)÷10=162

4 0

2 years ago

If i read 60 pages in 1 5/12 hours how long will it take me to read 120 pages

zysi [14]

Answer:

Step-by-step explanation:

Direct proportion

60: 1 5 /12 = 120 : x

60: 17/12 = 120:x

Product of extremes = product of mean

60*x = (17/2)*120

$60*x=\frac{17}{12}*120\\\\60*x=17*10\\\\x=\frac{17*10}{60}\\\\x=\frac{17}{6}\\\\x=2\frac{5}{6}$

It will take 2 5/6 hours to read 120 pages

8 0

3 years ago