3 years ago

Simplify -4b + (-9k) -6 - 3b + 12

Mathematics

1 answer:

Olenka [21]3 years ago

6 0

Answer:

-7b-9k+6

Step-by-step explanation:

-4b+(-9k)-6-3b+12

(-4b-3b)+(-9k)+(-6+12)

-7b+(-9k)+6

-7b-9k+6

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A triangle has two constant sides of length 5 feet and 7 feet. The angle between these two sides is increasing at a rate of 0.9

o-na [289]

Answer: $12.74 ft^2/s$

Step-by-step explanation:

Given

Two sides of triangle of sides 5 ft and 7 ft

and angle between them is increasing at a rate of 0.9 radians per second

let $\theta$ is the angle between them thus

Area of triangle when two sides and angle between them is given

$A=\frac{ab\sin C}{2}$

$A=\frac{5\times 7\times \sin \theta }{2}$

Differentiate w.r.t time

$\frac{\mathrm{d} A}{\mathrm{d} t}=\frac{35\cos theta }{2}\times \frac{\mathrm{d} \theta }{\mathrm{d} t}$

at $\theta =\frac{\pi }{5}$

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4 years ago

Simplify the imaginary number sqr -75

m_a_m_a [10]

Answer:

5i $\sqrt{3}$

Step-by-step explanation:

Using the rule of radicals

$\sqrt{a}$ × $\sqrt{b}$ ⇔ $\sqrt{ab}$

and $\sqrt{-1}$ = i

Given

$\sqrt{-75}$

= $\sqrt{25(3)(-1)}$

= $\sqrt{25}$ × $\sqrt{3}$ × $\sqrt{-1}$

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3 years ago

A triangular prism is shown in the diagram.

qaws [65]

Answer:

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Step-by-step explanation:

See attached image.

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3 years ago

I need this ASAP please

adelina 88 [10]

Answer:

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3 years ago

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Solve by factoring:

DerKrebs [107]

A.<span>(x+3)(x+4)=<span>0
x=-3,-4
B.X=5,4
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3 years ago

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