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2 years ago

Find the product (4p + 6)( 7p -5)

Mathematics

1 answer:

sleet_krkn [62]2 years ago

3 0

Answer:

28p^2+22p-30

Step-by-step explanation:

I'm a genius

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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

Does anyone know this?

Lera25 [3.4K]

Answer:

8/21

Step-by-step explanation:

-1/3 + 5/7=1×7 =-7/21 +15/21

- × -

3. 7

-7/21 + 15/21= -7+15 = 8/21

-----

4 0

3 years ago

Show how to make a ten to fund 12-4 write the number sentence

dexar [7]

Subtract 2 from 12. 12-2 is 10. You can subtract 10 with 4, and then add 2. (10-4)+2=8.

3 0

3 years ago

Read 2 more answers

Under the last-in, first-out (LIFO) inventory valuation method, a price index for inventory must be established for tax purposes

frosja888 [35]

Answer:

The laspeyres method of weighted aggregate price index is used of LIFO inventory valuation, therefore laspeyres index number is 106.08

Step-by-step explanation:

First of all we would have to perform the following table:

Product Ending Inventory(Q0) Begining(P0) Ending(P1) P0×Q0 P1×Q0

A 500 0.15 0.21 75 105

B 50 1.60 1.80 80 90

C 100 4.50 4.20 450 420

D 40 12.00 13.40 480 536

Total 1085 1151

Therefore, using laspeyres index number, we calculate the following:

laspeyres index number=(∑P1×Q0/∑P0×Q0)×100

laspeyres index number=(1151/1085)×100

laspeyres index number=106.08

8 0

3 years ago

Which function has a vertex at ( 2 , -5 )?

Mice21 [21]

The answer is C) y= |x-2| -5

3 0

3 years ago