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2 years ago

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Mathematics

1 answer:

Ede4ka [16]2 years ago

5 0

$V_1 = 2*10*6 = 120\\V_2 = 6*2*(8-2) = 6 * 2 * 6 = 72\\V = V_1 + V_2 = 120 + 72 = 192$

Answer: 192 cm³.

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(-2/3, sqrt5/3) is a point on a unit circle. Find the cosine, cosecant, and sine of the angle.

Nana76 [90]

Look at the picture.

$\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{y}{r}}=\dfrac{r}{y}$

We have the right triangle x, y and r. From the Pythagorean theorem we have:

$r^2=x^2+y^2\to r=\sqrt{x^2+y^2}$

We have the point

$\left(-\dfrac{2}{3};\ \dfrac{\sqrt5}{3}\right)$

Substitute:

$r=\sqrt{\left(-\dfrac{2}{3}\right)^2+\left(\dfrac{\sqrt5}{3}\right)^2}\\\\r=\sqrt{\dfrac{4}{9}+\dfrac{5}{9}}\\\\r=\sqrt{\dfrac{9}{9}}\\\\r=1$

$\csc\theta=\dfrac{1}{\frac{\sqrt5}{3}}=\dfrac{3}{\sqrt5}=\dfrac{3\cdot\sqrt5}{\sqrt5\cdot\sqrt5}=\boxed{\dfrac{3\sqrt5}{5}}$

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3 years ago

How many whole numbers are there with not more than 4 digits?

Flauer [41]

I think its 1000 numbers because there from 1 to 999 there are 999 numbers, and then you add zero because it is also a whole number.

7 0

2 years ago

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The mass of Earth is 5.97 >< 1024 kilograms. The mass of the Moon is 7.34 x 1022 kilograms. What is the combined mass of E

LuckyWell [14K]

Answer:

7.34x10^22 kg can also be written as 0.0734 * 10^24 kg

Since both numbers are * 10^24, you can just add 5.97 + 0.0734 = 6.043. Then you have to add the * 10^24 giving you 6.043 * 10^24 kg

The ratio of Earth / moon is 5.97x10^24 / 7.34x10^22 = 81. The mass of the Earth is 81 times the mass of the moon.

Step-by-step explanation: give me brainliest please :)

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3 years ago

The route used by a certain motorist in commuting to workcontains two intersections with traffic signals. The probabilitythat he

zavuch27 [327]

Answer:

a) 0.2

b) 0.2

c) 0.5

Step-by-step explanation:

Let $S$ be the event "the car stops at the signal.

In the attached figure you can see a tree describing all possible scenarios.

For the first question the red path describes stopping at the first light but not stopping at the second. We can determine the probability of this path happening by multiplying the probabilities on the branches of the tree, thus

$P(a)=0.4\times0.5=0.2$

For the second one the blue path describes the situation

$P(b)=0.4\times 0.5=0.2$

For the las situation the sum of the two green path will give us the answer

$P(c)=0.6\times 0.5 + 0.4\times 0.5=0.3+0.2=0.5$

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3 years ago

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Kenny’s height is 1 meter 75 centimeters. How tall is Kenny in millimeters? REMEMBER: 1 meter = 100 centimeters : 1 centimeter =

Serga [27]

If I did the math right the answer should be 1,750

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3 years ago

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