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AlladinOne [14]
3 years ago
6

Who wrote the Declaration of Independence

Mathematics
2 answers:
Alinara [238K]3 years ago
8 0

Answer:

Thomas Jefferson is cited with writing it.

Step-by-step explanation:

DochEvi [55]3 years ago
8 0

Answer:

TomasJeffrey

Step-by-step explanation:

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Two altitudes of a triangle have lengths $12$ and $14$. What is the longest possible integer length of the third altitude
nataly862011 [7]

The longest possible altitude of the third altitude (if it is a positive integer) is 83.

According to statement

Let h is the length of third altitude

Let a, b, and c be the sides corresponding to the altitudes of length 12, 14, and h.

From Area of triangle

A = 1/2*B*H

Substitute the values in it

A = 1/2*a*12

a = 2A / 12 -(1)

Then

A = 1/2*b*14

b = 2A / 14 -(2)

Then

A = 1/2*c*h

c = 2A / h -(3)

Now, we will use the triangle inequalities:

  • a < b+c

2A/12 < 2A/14 + 2A/h

Solve it and get

h<84

  • b < a+c

2A/14 < 2A/12 + 2A/h

Solve it and get

h > -84

  • c < a+b

2A/h < 2A/12 + 2A/14

Solve it and get

h > 6.46

From all the three inequalities we get:

6.46<h<84

So, the longest possible altitude of the third altitude (if it is a positive integer) is 83.

Learn more about TRIANGLE here brainly.com/question/2217700

#SPJ4

8 0
2 years ago
PLEASE HELP QUICKLY! 20 points! I will mark best answer as Brainliest!
Alina [70]

t= 2.25 secs

Step-by-step explanation:

Step 1 :

Equation for motion with uniform acceleration is v = u+ at

where v is the final velocity

          u is the initial velocity

          a is the acceleration due to gravity

          and t is the time

Step 2 :

Here , v = 0 because at the highest point final velocity is 0.

u = 72 feet/sec

a = -32 ft/sec^2

We need to find the time t.

Substituting in the equation we have,

0 = 72 -32 * t

=> 32 t = 72

=> t = 72/32 = 2.25 secs

4 0
3 years ago
A part-time house cleaner made $9258.13 last year. If he claimed himself as an exemption for $3650 and had a $5700 standard dedu
kari74 [83]

Once we sort through the tax terms, that's just

9258.13 - 3650 - 5700 = $ -91.87
A negative numbers mean the deduction and exemption sheltered all of his income, so he has $0 taxable income, choice D.


3 0
2 years ago
Read 2 more answers
A right triangle has legs with lengths 20 cm and 21 cm.
Bond [772]

to find the hypotenuse length you need to use the pythegorian therum and that will give you 29cm


7 0
3 years ago
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It would take 5 taps 150 mins to fill a pool.
Maksim231197 [3]

Answer:

250 mins

Step-by-step explanation:

since number of taps times time is constant

4 0
3 years ago
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