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3 years ago

If hurricane eric changed the temperature by -11 in 4 hours, how much did it change each hour?

Mathematics

2 answers:

olganol [36]3 years ago

4 0

Answer:

-2.75°

Step-by-step explanation:

Let it change x° each hour.

It has been given that hurricane Eric changed the temperature by -11 in 4 hours.

So, we have the below equation

$\frac{-11}{4}=\frac{x}{1}$

Solve the equation for x. Cross multiplying

$4x=-11$

Divide both sides by 4

$x=-\frac{11}{4}\\\\x=-2.75$

d is the correct answer.

krek1111 [17]3 years ago

3 0

Answer:

-2.75 degrees

Step-by-step explanation:

4 hours ----> Temp Changed by -11 degrees

1 hour ------> Temp changed by -11/4 = -2.75 degrees

You might be interested in

Root 3 cosec140° - sec140°=4 prove that

Lorico [155]

Answer:

Step-by-step explanation:

We are to show that $\sqrt{3} cosec140^{0} - sec140^{0} = 4\\$

Proof:

From trigonometry identity;

$cosec \theta = \frac{1}{sin\theta} \\sec\theta = \frac{1}{cos\theta}$

$\sqrt{3} cosec140^{0} - sec140^{0} \\= \frac{\sqrt{3} }{sin140} - \frac{1}{cos140} \\= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\$

From trigonometry, 2sinAcosA = Sin2A

$= \frac{\sqrt{3}cos140-sin140 }{sin140cos140} \\\\= \frac{\sqrt{3}cos140-sin140 }{sin280/2}\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{2sin280}\\\\= \frac{4(\sqrt{3}/2cos140-1/2sin140) }{sin280}\\since sin420 = \sqrt{3}/2 \ and \ cos420 = 1/2 \\ then\\\frac{4(sin420cos140-cos420sin140) }{sin280}$

Also note that sin(B-C) = sinBcosC - cosBsinC

sin420cos140 - cos420sin140 = sin(420-140)

The resulting equation becomes;

$\frac{4(sin(420-140)) }{sin280}$

= $\frac{4sin280}{sin280}\\ = 4 \ Proved!$

3 0

3 years ago

Help me on this problem please

Ivan

You want the equation for a line that goes through the data points (0, 248) and (5, 277). The slope is ∆y/∆x = (277-248)/(5-0) = 29/5 = 5.8. The first data point is the y-intercept, so your equation in slope-intercept form is

... y = 5.8x + 248 . . . . . . where y is MWh of generation and x is years since 2007.

_____

∆y is read "delta y". It means "the change in y".