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Yuliya22 [10]
3 years ago
11

Circle the reason for each of the following manipulations used to simplify the product (8x^2) (3x^7) ?

Mathematics
1 answer:
gayaneshka [121]3 years ago
3 0

Answer:

fgd

Step-by-step explanation:

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In the figure if angleACB = angleCDA, AC = 8 cm and AD= 3 cm, then BD is<br>​
tatiyna

Answer:

AC = 8 cm,

AD = 3 cm and ∠ACB = ∠CDA

From figure,

∠CDA = 90°

∴ ∠ACB = ∠CDA = 90°

In right angled ∆ADC,

AC2 = AD2 + CD2

⇒ (8)2 = (3)2 + (CD)2

CD2 = 64 – 9 = 55

⇒ CD = √55 cm

In ∆CDB and ADC.

∠BDC = ∠AD [each 90°]

∠DBC = ∠DCA [each equal to 90°-∠A]

∴ ∠CDB ∼ ∆ADC

Then,

6 0
2 years ago
Factor this expression completely ab + 4 + a + 4b
MrRa [10]
   
ab + a + 4b+4 = a(b+1) + 4(b+1) = (b +1)(a + 4)



5 0
3 years ago
Workland has a population of 10,000, of whom 7,000 work 8 hours a day to produce a total of 224,000 final goods. Laborland has a
kenny6666 [7]

Answer:

Workland has lower productivity but higher real GDP per person than Laborland.

Step-by-step explanation:

Consider the provided information.

Workland has a population of 10,000, of whom 7,000 work 8 hours a day to produce a total of 224,000 final goods.

Productivity = Output / Input

For Workland productivity is:

\frac{224,000}{7,000 \times 8}=\frac{224,000}{56,000}= 4

Laborland has a population of 5,000, of whom 3,000 work 7 hours a day to produce a total of 105,000 final goods.

For Laborland, productivity is:

\frac{105,000 }{3,000\times 7}=\frac{105,000 }{21,000 }= 5

Thus, Laborland has higher productivity .

To figure real GDP per person, divide output by population:

For Workland,

\frac{224,000}{10,000}= 22.4

for Laborland,

\frac{105,000 }{5,000 }= 21

Thus, Workland has a higher real GDP per person.

7 0
3 years ago
Shay and Nadine solve this problem in two different ways. You have $25 in your bank account. You make $7 per hour babysitting. H
myrzilka [38]
The answer to this problem is 25
8 0
3 years ago
Read 2 more answers
What is the answer to &gt; solve 4cos (theta/3) -2 = 0, over [0, 4pi)
Vesna [10]

Hello from MrBillDoesMath!

Answer:  

@ =   pi/3 (or 60 degrees) or @ = 7 pi/3 (or 420 degrees)


Discussion:

Let "@' denote the angle "theta". We are asked to find @ in the interval [0, 4 pi)

where

4cos(@) - 2 = 0.                Adding 2 to both sides

4 cos(@) - 2 +2 = 2  =>

4 cos(@) = 2                     Divide both sides by 4

cos(@) = 2/4 = 0.5


This implies that @ =   pi/3 (or 60 degrees) or @ = (pi/3 + 2pi) = 7 pi/3 (or 420 degrees)


Thank you,

MrB

5 0
3 years ago
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