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3 years ago

Ben says that n=5 is the solution of the equation 7n=45. How can you check whether Ben is correct?

Mathematics

1 answer:

GalinKa [24]3 years ago

3 0

Answer:

Its not. 45 would have to be 35 for n to be 5.

Step-by-step explanation:

7(5)=45

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Cos (0) = square root 2/2 and 3pi/2<0<2 pi , evaluate sin(0) and tan (0)

katovenus [111]

Answer:

$\sin\theta=-\frac{\sqrt2}{2}}$ and $\tan\theta=-1$

Step-by-step explanation:

Given : $\cos\theta=\frac{\sqrt2}{2}$ and $\frac{3\pi}{2}$

To find : Evaluate $\sin\theta$ and $\tan\theta$ ?

Solution :

As $\frac{3\pi}{2}$ means $\theta$ belong to the third or fourth quadrant .

So, $\sin\theta$ is negative and $\tan\theta$ is positive in third and negative in fourth.

Using the formula of trigonometric,

$\sin^2\theta+\cos^2\theta=1$

$\sin\theta=\sqrt{1-\cos^2\theta}$

Substitute $\cos\theta=\frac{\sqrt2}{2}$ ,

$\sin\theta=\pm\sqrt{1-(\frac{\sqrt2}{2})^2}$

$\sin\theta=\pm\sqrt{1-\frac{2}{4}}$

$\sin\theta=\pm\sqrt{1-\frac{1}{2}}$

$\sin\theta=\pm\sqrt{\frac{1}{2}}$

$\sin\theta=-\frac{\sqrt2}{2}}$

Now using another formula,

$\tan\theta=\frac{\sin\theta}{\cos\theta}$

$\tan\theta=\frac{-\frac{\sqrt2}{2}}{\frac{\sqrt2}{2}}$

$\tan\theta=-1$

Therefore, $\sin\theta=-\frac{\sqrt2}{2}}$ and $\tan\theta=-1$ .

7 0

3 years ago

SIMPLFY HELP ME ASAP! !quick!!<br><br><br><br> EXPLAIN

pychu [463]

3 1/4 = 13/4
4 2/3 = 14/3
so
13/4 * 14/3
= 91/6
= 15 1/6

7 0

4 years ago

A cone with a radius of 3" has a total area of 24π sq. in. Find the volume of the cone.

Rus_ich [418]

The answer is 12π.

To get the volume of the cone, we need the height. The radius is given.

V = πr² × (h/3)

The total surface area of the cone is:
SA = πr² + πrl where r is radius and l is slant height

24π = π(3)² + π(3)(l)
24π = 9π + 3πl
24π - 9π = 3πl
15π = 3πl
l = 15π / 3π
l = 5

Using Phytagoras, we can calculate the height of the cone:
l² = h² + r²
5² = h² + 3²
25 - 9 = h²
h = √16
h = 4

Therefore the volume is:
V = π(3)² × (4 / 3)
V = 3π × 4
V = 12π

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Regis has a bag with 8 tiles numbered 1 through 8. He randomly draws one bag without looking. Which of the following describes a

Daniel [21]

He has a likely outcome of 1/8

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The diagram shows a cuboid 4cm, 5cm and 9cm what is the surface area of the cuboid?

larisa86 [58]

280cm because if you multiply all of them up

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