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3 years ago

Question

Mathematics

2 answers:

Volgvan3 years ago

7 0

Answer:

C.- x = 80

Step-by-step explanation:

vaieri [72.5K]3 years ago

4 0

Answer:

Step-by-step explanation:

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What is 66 2/3% as a decimal to the nearest tenth

KonstantinChe [14]

We first know that 66 as a decimal is well 66. Now, 2/3 as a decimal would be 66.666666 and so on on. Therefore, 66 and 2/3 as a decimal is 66.66666 and so on.

4 0

3 years ago

Read 2 more answers

I really need some help with this question (Image attached)

ella [17]

Answer:

KL = 23

KM = 29

Step-by-step explanation:

By applying cosine rule in the given triangle KLM,

cos(∠M) = $\frac{\text{Adjacent side}}{\text{Hypotenuse}}$

cos(52°) = $\frac{LM}{KM}$

cos(52°) = $\frac{18}{KM}$

KM = $\frac{18}{\text{cos}52}$

KM = 29.24

KM ≈ 29

By applying sine rule,

sin(52°) = $\frac{\text{Opposite side}}{\text{Hypotenuse}}$

sin(52°) = $\frac{KL}{29.24}$

KL = 29.24[sin(52°)]

= 23.03

≈ 23

KL = 23

6 0

3 years ago

Preview Activity 3.5.1. A spherical balloon is being inflated at a constant rate of 20 cubic inches per second. How fast is the

ArbitrLikvidat [17]

Answer:

The radius is increasing at a rate of approximately 0.044 in/s when the diameter is 12 inches.

Because $\frac{dr}{dt}=\frac{5}{36\pi }>\frac{dr}{dt}=\frac{5}{64\pi }$ the radius is changing more rapidly when the diameter is 12 inches.

Step-by-step explanation:

Let $r$ be the radius, $d$ the diameter, and $V$ the volume of the spherical balloon.

We know $\frac{dV}{dt}=20 \:{in^3/s}$ and we want to find $\frac{dr}{dt}$

The volume of a spherical balloon is given by

$V=\frac{4}{3} \pi r^3$

Taking the derivative with respect of time of both sides gives

$\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}$

We now substitute the values we know and we solve for $\frac{dr}{dt}$ :

$d=2r\\\\r=\frac{d}{2}$

$r=\frac{12}{2}=6$

$\frac{dV}{dt}=4\pi r^2\frac{dr}{dt}\\\\\frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2} \\\\\frac{dr}{dt}=\frac{20}{4\pi(6)^2 } =\frac{5}{36\pi }\approx 0.044$