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1 year ago

Fishy Weather Conditions By Phillip Cho Need some answers

Mathematics

1 answer:

Nataly_w [17]1 year ago

8 0

Answer:

SBAC Practice Test Grade 6 Part 1 Fishy Weather Conditions By Phillip Cho Lajamanu, Australia, is a dry little town with 600 residents

Step-by-step explanation:

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In rectangle QRST, QS = x2 + 6x, and RT = 8x + 3. Find the length of QS.

valentina_108 [34]

The length of QS is 27 units.

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

In the given rectangle QRST QS and RT are the diagonals. In a triangle, the opposite sides are equal and parallel. This implies that the diagonals of a rectangle are equal.

$QS=RT \ QS=x^2+6x$

$RT=8x+3$

$x^2+6x=8x+3$

$x^2+6x-8x-3=0$

$x^2-2x-3=0$

We have obtained a quadratic equation here and solving this gives the possible values of QS.This can be solved using quadratic formula

$x=(-b\pm \sqrt{(b^2-4ac))}/2a$

The quadratic equation is of the form $ax^2+bxl+c=0$

here a=1 b=-2 c=-3

$x=(-b\pm \sqrt{(b^2-4ac))}/2a$

$x=x=(2 \pm \sqrt{ (-2^2-4 \times 1 \times -3))}/(2 \times 1)$

$x=(2 \pm \sqrt{(4+12))} /2$ or

$x=(2 \pm \sqrt{16)}/2 =(2\pm 4)/2 \ \ \ \ x=(2+4)/2=3 \ \ \ \ or \ \ \ x=(2-4)/2=-1$

putting x=3 $QS=x^2+6x$

$=3^2+6 \times 3=9+18=27$

putting x=-1

$QS=(-1)^2+6 \times -1=1-6=-5$

Since a length can have only positive values QS=27 units.

5 0

3 years ago

(a) Find the differential dy.

Step2247 [10]

a. Practically speaking, you compute the differential in much the same way you compute a derivative via implicit differentiation, but you omit the variable with respect to which you are differentiating.

$y=\cos x\implies\boxed{\mathrm dy=-\sin x\,\mathrm dx}$

Aside: Compare this to what happens when you differentiate both sides with respect to some other independent parameter, say $t$ :

$\dfrac{\mathrm dy}{\mathrm dt}=-\sin x\dfrac{\mathrm dx}{\mathrm dt}$

b. This is just a matter of plugging in $x=\dfrac\pi3$ and $\mathrm dx=0.1$ .

$\boxed{\mathrm dy\approx-0.087}$

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3 years ago

Solve for x. Round to the nearest tenth. Help

LekaFEV [45]

Answer:

Step-by-step explanation:

cosθ = adjacent / hypotenuse

cos(26) = 18 / x

x= 18 / cos(26)

x= 27.82418 ≈ 20 (to nearest tenth)

8 0

2 years ago

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How many things can happen if you spin the spinner three times and flip the coin three times?

vladimir2022 [97]

Answer:

Step-by-step explanation:

8 possible outcomes

We can now extend this thinking. If we toss three coins, we have a total of 2 × 2 × 2 = 8 possible outcomes: HHH, HHT, HTH, HTT, THH, THT, TTH, and TTT.

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2 years ago

What is the upper bound and lower bound for 35.7

stepladder [879]

Answer:

tried.. sry if it is wrong...

Step-by-step explanation:

some examples for u..

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2 years ago