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3 years ago

Solve the equation. Round your answer to the nearest hundredth. 47 +3.81k = -41

Mathematics

1 answer:

Harman [31]3 years ago

4 0

Answer:

i have no idea but if i had to guess it would be around -3.00k or -4.00k

Step-by-step explanation:

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A 4-foot tall child walks directly away from a 12-foot tall lamppost at 2 mph. How quickly is the length of her shadow increasin

xz_007 [3.2K]

Answer:

The length of the shadow is increasing with the rate of 1.5 feet per sec

Step-by-step explanation:

Let AB and CD represents the height of the lamppost and child respectively ( shown below )

Also, let E be a point represents the position of child.

In triangles ABE and CDE,

$\angle ABE\cong \angle CDE$ ( right angles )

$\angle AEB\cong \angle CED$ ( common angles )

By AA similarity postulate,

$\triangle ABE\sim \triangle CDE$

∵ Corresponding sides of similar triangles are in same proportion,

$\implies \frac{AB}{CD}=\frac{BE}{DE}$

We have, AB = 12 ft, CD = 4 ft, BE = BD + DE = 6 + DE,

$\implies \frac{12}{4}=\frac{6+DE}{DE}$

$12DE = 24 + 4DE$

$8DE = 24$

$DE=3$

Now, the speed of walking = 2 mph = $\frac{2\times 5280}{3600}\approx 2.933\text{ ft per sec}$

Note: 1 mile = 5280 ft, 1 hour = 3600 sec

Thus, the time taken by child to reach at E

$= \frac{\text{Walked distance}}{\text{Walking speed}}$

$=\frac{6}{2.933}$

= 2.045 hours

Hence, the change rate in the length of shadow

$= \frac{\text{Length of shadow}}{\text{Time taken}}$

$=\frac{3}{2.045}$

= 1.5 ft per sec.

3 0

3 years ago

What point in the feasible region maximizes P for the objective function P = 2x + 3y? Constraints

Bond [772]

<span>Suppose 2x + y = 15 -----eq 1 . x + 3y = 20 -----eq 2. Multiplying eq (1) by 1 and (2) by 2 and subtracting the result We have: 2x + y = 15 and 2x +6y =40.If we subtract, we have y - 6y = 15 - 40. So we have -5y = -25. y is 5. Substiting into eq (1), we have 2x + 5 = 15. 2x = 15-5 =10 Hence X =5.Hence option B is the correct option.</span>

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3 years ago

X = ??????geometryyyy

Mama L [17]

Answer:

Step-by-step explanation:

Using Secant-Secant theorem we can find the value of x.

The product of one segment and its external segment is equal to the product of the other segment and its external segment.

5 × 3 = x × 4

15 = 4x

15/4 = x

3.75 = x

7 0

3 years ago

You started this year with $458 saved and

vovangra [49]

Answer:

s = 14m + 458

Step-by-step explanation:

current amount = 458

14 per month

s = 14m + 458

6 0

1 year ago

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What is 218,375 written in expanded form

Hatshy [7]

218,375 written in expanded form is 200,000+10,000+
8,000+300+70+5

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3 years ago

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