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3 years ago

I. How long is the lunch period?

Mathematics

1 answer:

Marina86 [1]3 years ago

6 0

II, III, and IV are statistical questions about lunchtime that anticipate variability.

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Solve this for Brainliest!<br><br>See the attachment [Level - GCSE]

madreJ [45]

Answer:

$x = 3 + 4\sqrt{3}$

Step-by-step explanation:

OPQ is a right angle triangle.

<u>Using Pythagoras</u>

$x^{2} + (x+5)^{2} = (x+8)^{2}\\x^{2} + x^{2} + 10x +25 = x^{2} + 16x + 64\\x^{2} + x^{2} - x^{2} + 10x - 16x + 25 - 64 = 0\\x^{2} - 6x -39 = 0$

<u>Using quadratic formula</u>

<u /> $x = \frac{-b \± \sqrt{b^{2}-4ac}}{2a}\\x = \frac{-(-6) \± \sqrt{(-6)^{2}-4(1)(-39)}}{2(1)}\\x = \frac{6}{2} \± \frac{\sqrt{192}}{2}\\x = 3 \± \frac{8\sqrt{3}}{2}\\x = 3 \± 4\sqrt{3}$

$x = 3 + 4\sqrt{3} = 9.928(4s.f.)$

$x = 3 - 4\sqrt{3} = -3.928(4s.f.)$ (Length can't be negative)

∴ $x = 3 + 4\sqrt{3}$

3 0

2 years ago

Read 2 more answers

Grover Elementary School is getting ready for the annual Penny Drive. The table below shows the target goals for the drive at th

Sever21 [200]

The slope of the function is $400.

<h3 /><h3>Definition of slope of a function</h3>

The slope of a function is the rate of change of the dependent variable with respect to the independent variable. The equation that represents a function is: y = mx + b

Where:

y = dependent variable
m = independent variable
x = slope
b = constant

Looking at the total money raised, the amount of money increases by 400. This is the slope.

To learn more about slope, please check: brainly.com/question/2491620

7 0

2 years ago

How do you find the value for x? <br> Find the value of x ?

bogdanovich [222]

Answer:

x = 27

Step-by-step explanation:

Both angles together form 180 degree.

Set your formula up as

180 = (5x+2) + (x + 16)

180 = 5x + 2 + x + 16

180 = 6x + 18

180 - 18 = 6x

162 = 6x

162/6 = x

27 = x

5 0

3 years ago

Read 2 more answers

PLEASE HELP WITH 1-2!!!!

ratelena [41]

1-2 = -1
If that's what u mean

3 0

3 years ago

How to evaluate a2 + b - c2

Hunter-Best [27]

A2 + b + 1c2 i think

3 0

2 years ago