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aniked [119]
3 years ago
6

6310÷10 to the third power

Mathematics
1 answer:
Norma-Jean [14]3 years ago
3 0

6310/10= 631

(631)^3

=251,239,591

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The hypotenuse of a right triangle is 13.0, and one leg is 9.0 units shorter than the other. Find the dimensions of the figure (
Darina [25.2K]
Let, one leg be x units. 
since the other leg is 9.0 units shorter than the other, 
the measure of the other leg =x-9 
hypotenuse =13.0 units 
According to Pythagorean theorem, the square of the hypotenuse is equal to the sum of squares of the other two sides.  
x^2 +(x-9)^2 =13^2 
x^2 + x^2 -18x +81 = 169 
2x^2-18x-88=0 
Divide the whole equation by 2 
x^2 - 9x -44 =0  
Let's use the quadratic formula to find the roots. 
formula: x= [-b ± sqrt(b^2-4*a*c)]/2*a  
a=1 b=-9 c=-44 
x= [9±sqrt(81+176)]/2
 =[9±sqrt(257)]/2
 =[9±16.03]/2
 =25.03/2 or -7.03/2
 length of a triangle cannot be negative,
 Therefore, x=25.03/2 =12.52 
 one leg =12.5 units
 other leg =12.52-9 =3.5 units
4 0
3 years ago
Which expression is equivalent to-3(m+5)
krek1111 [17]

Answer:

The expression equivalent to -3( m + 5) is

c) - 3m - 15

Step-by-step explanation:

8 0
2 years ago
5/16 divide by 20/40= SHOW WORK
Elenna [48]
5/16 divided by 20/40
5/16 times 40/20
5 times 40= 200
16 times 20=320
200/320=20/32=10/16=5/8

Final Answer: 5/8
6 0
2 years ago
Read 2 more answers
I NEED HELP ASAP!!!!!
viva [34]

Answer:

1 is 12

2 is 1/2 and 3/4

3 is 802,083

4 is 96

5 is 23

6 is 2/3

3 0
3 years ago
Rich deposited money into a bank account that earned 2.5% simple interest each year. After 2 years, he had earned $14.65 in inte
photoshop1234 [79]

we know that


The simple interest formula is equal to


I=Prt


where


P is the Principal amount of money to be invested


I is the amount of money in interest

r is the rate of interest  

t is Number of Time Periods


in this problem we have


t=2\ years\\ I=\$14.65\\r=0.025


substitute in the formula above  and solve for P

14.65=P(0.025)(2)

P=14.65/[(0.025)(2)]

P=\$293


therefore

<u>the answer is</u>

\$293




5 0
3 years ago
Read 2 more answers
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