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Mademuasel [1]
2 years ago
13

100 Points!!!

Mathematics
2 answers:
Mars2501 [29]2 years ago
7 0

Let's see

#a

Take 28

  • (28)²
  • (30-2)²
  • 30²-2(30)(2)+2²
  • 900-120+4
  • 780+4
  • 784

#2

Take 9,10

  • 9³+10³
  • (9+10)(9²-9×10+10²)
  • (19)(81-90+100)
  • 19(181-90)
  • 19(91)
  • 1729
oee [108]2 years ago
4 0

Answer:

Two-digit number greater than 25:   32

Rewrite 32 as the difference of 2 numbers: 40 - 8

Therefore, x = 40  and  y = 8

\begin{aligned}\implies (40-8)^2 & =40^2-2(40)(8)+8^2\\ & = (4 \cdot 10)^2-(80)(8)+64\\ & = 4^2 \cdot 10^2-640+64\\ & = 16 \cdot 100-640+64\\ & = 1600-640+64\\ & = 960+64\\ & = 1024\end{aligned}

Let a = 10

Let b = 11

\begin{aligned}\implies 10^3+11^3 & =(10+11)(10^2-10 \cdot 11+11^2)\\& = 21(100-110+121)\\ & = 21(-10+121)\\ & = 21(111)\\& = 21 (100 + 10 + 1)\\ & = (21 \cdot 100)+(21 \cdot 10)+(21 \cdot 1)\\ & = 2100 +210+21\\ & = 2310 + 21\\ & = 2331\end{aligned}

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A tortoise walks 52.0 feet per hour. Convert this speed into inches per minute.
hoa [83]

Answer:

10.4 in per min

Step-by-step explanation:

First multiply 52 by 12 to get inches per hour. 624 in per hour. Then make it 624 inches in 60 minutes. Divide 624 by 60 to get 10.4. So it's speed in inches per minute is 10.4 in per min.

(hope this helps)

5 0
3 years ago
Howdy!
posledela

Answer:

A) Central angle has same measure as intercepted arc.

  • mCE = mCD + mDE = 20° + 90° = 110°

B) Opposite angles of cyclic quadrilateral are supplementary.

  • mRL = 2*m∠PQR - mPL = 2*74° - 72° = 76°
  • m∠QPL = (1/2)mQRL = (1/2)(90° + 76°) = 83°
  • m∠QRL = 180° - m∠QPL = 180° - 83° = 97°
  • mQP = 360° - (90° + 76° + 72°) = 122°

C)

  • m∠MLN = m∠MRN as same arc MN is intercepted
  • m∠LMN is right angle as opposite side is diameter.
  • ∠MNL is complementary with ∠MLN which is same as ∠MRN
  • m∠MNL = 90° - 47° = 43°

D) Tangent secant angle is half of the intercepted arc.

<em>It seems wrong. Should be mQP instead of mQR</em>

  • mQP = 2*m∠RQP = 2*74° = 148°
8 0
3 years ago
If a gas tank can hold 30 gallons, how many gallons does it contain when it is three-fifths full?
vichka [17]
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6 0
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Answer:

60

Step-by-step explanation:

(This is not how teachers usually teach you)

First i divided 36 by 2 to get 30% = 18 then i multiplied 30% by 3.3333etc. to get 100% and i multiplied 18 by the same number (18*3.3333 = 60) and i got 60.

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ValentinkaMS [17]
He lost 50 dollars and earned 80 dollars
7 0
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