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4 years ago

Which ratio represents sin(B)?

Mathematics

1 answer:

alex41 [277]4 years ago

5 0

Answer:

$sinB=\frac{8}{10}$

Step-by-step explanation:

$sine=\frac{opposite}{hypotenuse}$

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A function with an input of 4 has an output of 10. Which of the following could not be the function equation?

s2008m [1.1K]

For this you'll substitute the input and output.

A) 10 = 4 + 6
10 = 10

B) 10 = 2(4) + 3
10 = 11

C) 10 = 14 - 4
10 = 10

D)10 = 2.5(4)
10 = 10

The answer choice B is not the equation for the function because 10≠11.

7 0

3 years ago

URGENT DUE BY 3:30 FOR A HUGE GRADE WILL RATE GOOD:)

mariarad [96]

A = L x W

20 x 20 = 400.

400 x 8 = 3200

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3 years ago

how many even numbers less than 1000 can be formed from the given digits 0,2,3,5; if repetition is not allowed ?

Lunna [17]

Answer: 2 numbers

Step-by-step explanation:

Since we are looking for even numbers, 0 and 2 must be the last number.

So if we have 0 at the end, there are 6 possibilities:

2350, 2530, 3250, 3520, 5230, 5320. None of these are less than 1000.

But, if we have 2 at the end, then we have 6 possibilities again:

0352, 0532, 3052, 3502, 5032, 5302. Only two of these are less than 1000.

So the only possibilities are 0350 and 0530, and so there are 2 possibilities.

8 0

2 years ago

You stand a known distance from the base of the tree, measure the angle of elevation the top of the tree to be 15â—¦ , and then

gogolik [260]

Answer:

The maximum possible error of in measurement of the angle is $d\theta_1 =(14.36p)^o$

Step-by-step explanation:

From the question we are told that

The angle of elevation is $\theta_1 = 15 ^o = \frac{\pi}{12}$

The height of the tree is h

The distance from the base is D

h is mathematically represented as

$h = D tan \theta$ Note : this evaluated using SOHCAHTOA i,e

$tan\theta = \frac{h}{D}$

Generally for small angles the series approximation of $tan \theta \ is$

$tan \theta = \theta + \frac{\theta ^3 }{3}$

So given that $\theta = 15 \ which \ is \ small$

$h = D (\theta + \frac{\theta^3}{3} )$

$dh = D (1 + \theta^2) d\theta$

=> $\frac{dh}{h} = \frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta$

Now from the question the relative error of height should be at most

$\pm p$ %

=> $\frac{dh}{h} = \pm p$

=> $\frac{1 + \theta ^2}{\theta + \frac{\theta^3}{3} } d \theta = \pm p$

=> $d\theta = \pm \frac{\theta + \frac{\theta^3}{3} }{1+ \theta ^2} * \ p$

So for $\theta_1$

$d\theta_1 = \pm \frac{\theta_1 + \frac{\theta^3_1 }{3} }{1+ \theta_1 ^2} * \ p$

substituting values

$d [\frac{\pi}{12} ] = \pm \frac{[\frac{\pi}{12} ] + \frac{[\frac{\pi}{12} ]^3 }{3} }{1+ [\frac{\pi}{12} ] ^2} * \ p$

=> $d\theta_1 = 0.25 p$

Converting to degree

$d\theta_1 = (0.25* 57.29) p$

$d\theta_1 =(14.36p)^o$

4 0

3 years ago

A positively charged substance is brought near the ion. What will most likely happen and why?

Mrrafil [7]

Answer :

There are two cases in this problem :

1). When the ion is positively charged :

Now, the ion and the substance both are positively charged hence when brought together will repel each other because equal charged particles repel each other.

2). When the ion is negatively charged

Now, the substance is positively charged and the ion is negatively charged so both will attract each other because the particles with opposite charges attract each other.

7 0

4 years ago