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VladimirAG [237]
2 years ago
13

What are the properties of 8×51

Mathematics
1 answer:
Verdich [7]2 years ago
4 0
8×51 = 8 ×(50+1)=8×50+8×1=400+8=408
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Solve triangle problems where angles or sides are given in terms of other angles or sides
DENIUS [597]

Answer:

18

Step-by-step explanation:

x+x+17+6=49

2x=36

x=18

s1=18

s2=35

s3=6

8 0
3 years ago
A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track
harkovskaia [24]

Answer:

  C.  2.0 < t < 2.5

Step-by-step explanation:

  time = distance / speed

The circumference of the lake is given by ...

  C = πd = 2π miles ≈ 6.28 miles

Then Johanna's time is ...

  (6.28 mi)/(3 mi/h) ≈ 2.09 h

This time is in the interval (2, 2.5), so matches choice C.

___

<em>Alternate solution</em>

If we take pi to be 3, then this boils down to ...

  2×3/3 = 2 . . . hours

Pi is on the order of 5% more than 3, so her time will be on the order of 5% more than 2 hours, or just above 2, but not as great as 2.5 hours. This sort of estimating can get you to the correct answer without a calculator.

6 0
3 years ago
What is the true solution In 20+In 5=2 In x?
S_A_V [24]

Answer:

x = 10

Step-by-step explanation:

Using the rules of logarithms

• log x + log y ⇔ log(xy)

• logx^{n} ⇔ n log x

• log x = log y ⇒ x = y

Given

ln20 + ln5 = 2 lnx , then

ln(20 × 5) = lnx^{2}

ln 100 = lnx^{2}, hence

x² = 100 ( take the square root of both sides )

x = 10

7 0
3 years ago
on monday, a parking garage was 60% full, with 120 cars parked. on tuesday, there were 30 more cars parked jn the garage than th
vlada-n [284]

Answer:

75%

Step-by-step explanation:

we know that 60% of x is 120. we can rewrite this to .6x = 120, to get x we divide both sides by .6, so x = 200. now 120 + 30 = 150. then we divide 150 out of 200 which is .75 it 75%

8 0
3 years ago
461 divided by 3 place the digit
Gekata [30.6K]
I believe it's 153.. 
3 0
3 years ago
Read 2 more answers
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