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vlabodo [156]
2 years ago
7

What is the value of p?

Mathematics
1 answer:
RoseWind [281]2 years ago
6 0

Answer:

p =43

Step-by-step explanation:

Finding the angle in a triangle

The angle next to 133, angle a,  is 180-133 = 47 because the angles form a straight line

The angle next to 90, angle b, is 180-90 = 90,  because the angles form a straight line

We have a triangle.  The angles in a triangle equal 180 degrees

a+b+ p =180

47+90+p = 180

137 + p = 180

p = 180-137

p =43

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round 47,125 to the nearest ten, to the nearest hundred ,to the nearest thousand and the nearest ten thousand
wariber [46]
Nearest ten is 47,126
nearest hundered 47,120
nearest thousand 47,100
and nearest ten thousand is 50,000
4 0
3 years ago
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The age of an ancient tree trunk is estimated using radiocarbon dating. If the trunk has a C-14 decay rate that is 34% of what i
laiz [17]

Answer:

8923 years

Step-by-step explanation:

Half life of C-14 = 5730yrs

decay rate= 34%

Halt life (t^1/2) = (ln2) / k

5730 = (ln2) /k

k = (ln2) / 5730

k = 1.209 * 10^-4

For first order reaction in radioactivity,

ln(initial amount) = -kt

ln(34/100) = -(1.209*10^-4)t

-1.0788 = -(1.209*10^-4)t

t = -1.7088/ -1.209*10^-4

t = 8923 years

7 0
3 years ago
Some people advise that in very cold​ weather, you should keep the gas tank in your car more than half full. Irene​'s car had 5.
Alex787 [66]

Answer:

$27,72

Step-by-step explanation:

The information that we have its

  • The cost gas its ​$3.60 per gallon
  • Irene​'s car had 5.3 gallons
  • Irene's car tank is 13 gallons

so now for the know, How much did Irene spend on gas?

First

The gas that its necesary for filled de tank its

13gallons-5,3gallons=7,7 gallons

The cost for 7,7 its

7,7g*3,6$/g= $27,72

7 0
3 years ago
Suppose that the division N/5 leaves a remainder of 4, and the division N/2 leaves a remainder of 1, what is the ones digit on N
Tju [1.3M]

Since <em>N</em>/2 leaves a remainder, <em>N</em> must be odd and ends with 1, 3, 5, 7, or 9.

<em>N</em>/5 also leaves a remainder, so <em>N</em> is not divisible by 5, so it does not end in 5.

The only correct choice is then 9, since

1 = 0•5 + 1 and 1 = 0•2 + 1

3 = 0•5 + 3 and 3 = 1•2 + 1

7 = 1•5 + 2 and 7 = 3•2 + 1

9 = 1•5 + <u>4</u> and 9 = 4•2 + <u>1</u>

<u />

Alternatively, the given information is equivalent to saying

N\equiv 4\pmod5\\\\N\equiv1\pmod2

Then you can use the Chinese remainder theorem to find <em>N</em>.

7 0
3 years ago
Please Help!!
GarryVolchara [31]

Answer:

D:) (2,2,) is the Answer

Step-by-step explanation:

Solve the following system:


{X - 2 Y = -2 | (equation 1)


{3 X - 2 Y = 2 | (equation 2)



Swap equation 1 with equation 2:


{3 X - 2 Y = 2 | (equation 1)


{X - 2 Y = -2 | (equation 2)



Subtract 1/3 × (equation 1) from equation 2:


{3 X - 2 Y = 2 | (equation 1)


{0 X - (4 Y)/3 = (-8)/3 | (equation 2)



Multiply equation 2 by -3/4:


{3 X - 2 Y = 2 | (equation 1)


{0 X+Y = 2 | (equation 2)



Add 2 × (equation 2) to equation 1:


{3 X+0 Y = 6 | (equation 1)


{0 X+Y = 2 | (equation 2)



Divide equation 1 by 3:


{X+0 Y = 2 | (equation 1)


{0 X+Y = 2 | (equation 2)



Collect results:


Answer:  {X = 2 , Y = 2

4 0
3 years ago
Read 2 more answers
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