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4 years ago

8

The temperature in Anchorage, Alaska, was -3°C in the afternoon. After the sun went down,the temperature dropped 6 degrees. What

was the temperature after the sun went down? Enter your answer in the box.

1 answer:

OverLord2011 [107]4 years ago

3 0

Answer: -9°C

Step-by-step explanation: subtracting integers is basically adding the second integer‘s opposite to the first integer

-3 - 6

-3 + -6

= -9

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Find the formula for the area of the shape below in terms of a,b, and c

AleksAgata [21]

Step-by-step explanation:

(aX(b-a) )+ (aXc)

b must minus a because it not include inthe region

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3 years ago

I need help on these please, also explain how you got the answer please ♡

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3 years ago

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3 years ago

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Find all points on the curve that have the given slope.x = 2cost, y= 8sint, slope =-1

tatuchka [14]

Answer:

$t_{1} = 0.422\pi \pm \pi\cdot i$ , $\forall \,i \in \mathbb{N}_{O}$

$t_{2} = 1.422\pi \pm \pi\cdot i$ , $\forall \,i \in \mathbb{N}_{O}$

Step-by-step explanation:

In the case of parametric equations, the slope of the curve is equal to:

$\frac{dy}{dx} = \frac{\frac{dy}{dt} }{\frac{dx}{dt} }$

Where $\frac{dx}{dt}$ and $\frac{dy}{dt}$ are the first derivatives of $x$ and $y$ regarding $t$ . Let be $x(t) =2\cdot \cos t$ and $y(t) = 8\cdot \sin t$ , their first derivatives are found:

$\frac{dx}{dt} = -2\cdot \sin t$ and $\frac{dy}{dt} = 8\cdot \cos t$

Thus, equation for the slope is:

$\frac{dy}{dx} = -\frac{8\cdot \cos t}{2\cdot \sin t}$

$\frac{dy}{dx} = -\frac{4}{\tan t}$

If $\frac{dy}{dx} = -1$ , then:

$-1 = -\frac{4}{\tan t}$

$\tan t = 4$

Tangent is positive at 1st quadrant and is a function with a periodicity of $\pi$ , the set of solutions are:

$t_{1} = 0.422\pi \pm \pi\cdot i$ , $\forall \,i \in \mathbb{N}_{O}$

$t_{2} = 1.422\pi \pm \pi\cdot i$ , $\forall \,i \in \mathbb{N}_{O}$

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3 years ago

a 96 foot transmission tower casts a 72 foot long shadow. an anchor wire runs from the top of the tower to the tip of the shadow

soldier1979 [14.2K]

Answer:

63.5

Step-by-step explanation:

they all form a triangle, and the formula for that is a²+b²=c²

a=96 b=wire c=72

96²+b²=72²

9216+b²=5184

-9216 -9216

b²= -4032

square root of -4032 = 63.5

4 0

3 years ago