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3 years ago

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1 answer:

astraxan [27]3 years ago

7 0

Answer:

It would take 40 times to match the amount of money

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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

Solve the equation -3x+7x=-10

maks197457 [2]

Hope this helps! Just combine like terms and solve like abnormal equation (:

3 0

3 years ago

Please answer ASAP for 5 stars and brainliest

lawyer [7]

Answer is in the attached figure.

5 0

3 years ago

Read 2 more answers

Enter the explicit rule for the geometric sequence.

Sveta_85 [38]

Answer: $\frac{3}{2}$ $(\frac{1}{2})^{n-1}$

<u>Step-by-step explanation:</u>

$\frac{3}{2}, \frac{3}{4}, \frac{3}{8}, \frac{3}{16}, \frac{3}{32}, ...$

common ratio (r) = $\frac{1}{2}$

first term (a₁) = $\frac{3}{2}$

$a_{n}$ = a₁ (r)ⁿ⁻¹

= $\frac{3}{2}$ $(\frac{1}{2})^{n-1}$

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3 years ago

3 more than the product of 7 and a number x is less than 26 Find the solution set for x. Write the solution using a fraction or

Tresset [83]

Answer: The solution set is $x\:$

Step-by-step explanation:

The product of 7 and x is $7x$ .

3 more than the product of 7 and x is $7x+3$ .

We were given that, the expression is less than 26.

This implies that,

$7x+3\:$ .

We group like terms to obtain,

$7x\:$

$7x\:$ we now divide through by 7 to obtain,

$x\:$

We finally write this as a mixed number to obtain,

$x\:$

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3 years ago