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3 years ago

30 seconds of 2.5 mins in percentage

Mathematics

2 answers:

WARRIOR [948]3 years ago

7 0

Answer:

20%

Step-by-step explanation:

2.5 min =(60×2.5)sec=150 sec

30sec to 150sec=30×100/150=20%

baherus [9]3 years ago

5 0

Answer:

20 %

Step-by-step explanation:

2.5 mins = 150 sec

30 sec of 150 sec in % = 30/150 × 100

= 20 %

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He is 59 feet on sea level because 73 - 14 = 59

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What is the rule for the reflection

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Let angle G be an acute angle and tan G = 0.43 . Use technology to approximate the measure of angle G to the nearest 10th of a d

klasskru [66]

We need to use the calculator, using the tan⁻¹ function:

$\begin{gathered} \tan(G)=0.43 \\ \tan^{-1}(\tan(G))=\tan^{-1}(0.43) \\ G=\tan^{-1}(0.43) \end{gathered}$

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1 year ago

Four times a number added to 3 times a larger number is 31. Seven subtracted from the larger number is equal to twice the smalle

aev [14]

Let the smaller number be x.
Let the bigger number be y.

$\begin{cases} &4x + 3y = 31 \tex{ ----- (1) } \\ &y- 7 = 2x \tex{ ----- (2) } \end{cases}$

Rearrange equation (2):
$\begin{cases} &4x + 3y = 31 \tex{ ----- (1) } \\ &y = 2x + 7 \tex{ ----- (2) } \end{cases}
$

Sub (2) into (1):

$4x + 3(2x + 7 ) = 31$
$4x + 6x + 21 = 31$
$10x + 21 = 31$
$10x = 10$
$x = 1$

Sub x = 1 into (2):

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$y = 2(1) + 7$
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3 years ago

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by about how much will f(x,y,z) = In root x^2 +y^2 +z^2 change if the point P(x, y, z) moves from P0(2,2,6) a distance of ds = .

konstantin123 [22]

Answer:

$\frac{1}{44} \approx0.0227\hspace{3}units$

Step-by-step explanation:

In order to find the answer we need to calculate the directional derivative:

$D_uf(x,y,z)=\nabla f\bullet u$

$\nabla f =The\hspace{3}gradient\hspace{3}of\hspace{3}f\\u=Unit\hspace{3}vector$

The gradient of f is:

$\nabla f(x,y,z)=\langle\frac{x}{x^2+y^2+z^2}, \frac{y}{x^2+y^2+z^2},\frac{z}{x^2+y^2+z^2}\rangle$

The unit vector can be found as:

$u=\frac{v}{|v|} =\frac{3i+6j-2k}{\sqrt{3^2+6^2+(-2^2)} } =\langle\frac{3}{7} ,\frac{6}{7}, \frac{-2}{7} \rangle$

The directional derivative at the point is:

$D_uf(2,2,6)=\langle\frac{1}{22}, \frac{1}{22} ,\frac{3}{22} \rangle \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22} \bullet \langle \frac{3}{7} ,\frac{6}{7} ,\frac{-2}{7} \rangle =\frac{5}{22}$

Finally, the problem tell us that the point moves a distance of 0.1 units. Hence f(x,y,z) will move:

$\frac{5}{22} * 0.1=\frac{1}{44}\approx 0.0227\hspace{3}units$

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3 years ago