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yaroslaw [1]
2 years ago
9

Match each hypotenuse length with the leg lengths that will create a right triangle.

Mathematics
1 answer:
Evgesh-ka [11]2 years ago
8 0

Answer:

Step-by-step explanation:

Hypotenuse √6 units = Legs √5 units, 1 unit

Hypotenuse √5 units = Legs √3 units, √2 units

Hypotenuse √8 units = Legs √5 units, √3 units

Hypotenuse √3 units = Legs 1 unit, √2 units

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2.32x10 to the fifth power
laiz [17]
2.32 x 10⁵ = 232000

This can be solved by multiplying 2.32 to the product of 10 multiplied 5 times.

10⁵ = 10 * 10 * 10 * 10 *10
10⁵ = 100,000

2.32 x 100000 = 232000

The given equation is the standard form of a decimal number. It is used to write down a very large or very small number easily.

There are a lot of standard forms. Like: Standard form of an equation and Standard form of a polynomial.


3 0
3 years ago
Read 2 more answers
$1500 is invested at a rate of 3% compounded monthly. Write a compound interest function to model this situation. Then find the
Marianna [84]

Answer:

<u>Equation</u>:  F=1500(1.0025)^{12t}

<u>The balance after 5 years is:  $1742.43</u>

<u></u>

Step-by-step explanation:

This is a compound growth problem . THe formula is:

F=P(1+\frac{r}{n})^{nt}

Where

F is future amount

P is present amount

r is rate of interest, annually

n is the number of compounding per year

t is the time in years

Given:

P = 1500

r = 0.03

n = 12 (compounded monthly means 12 times a year)

The compound interest formula modelled by the variables is:

F=1500(1+\frac{0.03}{12})^{12t}\\F=1500(1.0025)^{12t}

Now, we want balance after 5 years, so t = 5, substituting, we get:

F=1500(1.0025)^{12t}\\F=1500(1.0025)^{12*5}\\F=1500(1.0025)^{60}\\F=1742.43

<u>The balance after 5 years is:  $1742.43</u>

3 0
3 years ago
How many different four-digit numbers can be made using the digits 1, 2, 3, 4, 5, 6 if no digit can be used more than once?
Allushta [10]
This is 6P4
the number of permutations of 4 from 6.  6! / 2!

= 6*5*4*3* 2 /  2 = 360
4 0
3 years ago
Solve the following proportion for v. V/13=11/13
NeX [460]

Answer:

V = 11

Step-by-step explanation:

All you have to do here is to multiply both sides of this equation by 13.  This will eliminate the fractions.  You'll be left with V = 11.

8 0
3 years ago
Electrical resistance ina wire is directly proportional to its length and inversely proportional to the square of its diameter.
LenaWriter [7]
Initial Conditions:

length=L= 10 cm = (10*10⁻²)m
Diameter=D= 2 cm= (2*10⁻²)m
Radius= r= 0.01m
Area=A= π*r²/2 =1.57*10⁻⁴ m²

Resistance=R= 600 ohm
 
So, from initial conditions we find resistivity(р)
                                       R=рL/A
                                       R*A /L=р
                                      (600)*(1.57*10⁻⁴)/(10*10⁻²)=р
                                       р=0.942 Ω m
<span>As, material remains same so resistivity(p) doesn't change

 </span>Lenght= L1= 15 fm= 15*10⁻¹⁵ m
Diameter= D1 = 5 cm= 5*10⁻² m
Radius= r= 0.025 m
Area= A1= π*r²/2 =9.8125*10⁻⁴ m²
                                               R=р*L1/A1
                                               R=(0.942 )*(15*10⁻¹⁵ )/(9.8125*10⁻⁴)
                                               R=1.44*10⁻¹¹ Ω
3 0
3 years ago
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