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WINSTONCH [101]
2 years ago
14

Ellus What is the measure of z? 4 16 z X Z = ✓ [?]

Mathematics
1 answer:
Sholpan [36]2 years ago
8 0

Answer:

z=\sqrt{80}

Step-by-step explanation:

By geometric mean property:

y= \sqrt {16\times 4}

y= \sqrt {64}

y= 8

By Pythagoras Theorem:

z=\sqrt{4^2 +8^2}

z=\sqrt{16 + 64}

z=\sqrt{80}

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Find the solution of the system of equations. – 5 - 6y = -32 4x - 6y = 4​
amid [387]

Equation (1)

-5 - 6y = -32

Equation (2)

4x - 6y = 4

Get y alone in equation (1)

-5 - 6y = - 32\\-6y = -32 + 5\\-6y = -27\\y = \frac{-27}{-6} = \frac{9}{2}

Insert y in equation (2)

4x - 6 \cdot \frac{9}{2} = 4\\4x - 27 = 4\\4x = 4 + 27\\4x = 31\\x = \frac{31}{4}

8 0
3 years ago
You invest $5000 in an account at 5.5% per year simple interest. How much will you have in the account at the beginning of the 6
NeX [460]

Answer:

The amount in the account in the  beginning of the 6th year is $6375 .

Step-by-step explanation:

Formula

Simple\ interest = \frac{Principle\times Rate\ times Time}{100}

As given

You invest $5000 in an account at 5.5% per year simple interest.

Principle = $ 5000

Rate = 5.5 %

Time = 5 years

(As calculate amount in the account for beginning of 6th year.)

Putting all the values in the formula

Simple\ interest = \frac{5000\times 5.5\times 5}{100}

Simple\ interest = 50\times 5.5\times 5

Simple interest = $ 1375

Amount =  Principle + Simple interest

Putting values in the above formula

Amount =  $5000 + $1375

Amount = $ 6375

Therefore the amount in the account in the  beginning of the 6th year is $ 6375 .

8 0
3 years ago
What is 4 plus 4 hehe
Lynna [10]

Answer:

(plus = +)

<h2>4 + 4 = 8</h2>

-,-

Step-by-step explanation:

<h2>Hope it helps! </h2>
4 0
3 years ago
Which statement about g(x)=x^2-576 is true
Ipatiy [6.2K]

Answer:

c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).

Step-by-step explanation:

The given function is

g(x)=x^2-576

When we equate the function to zero, we obtai;

x^2-576=0

Use difference of two squares:

x^2-24^2=0

(x-24)(x+24)=0

Use the zero product property to obtain;

x-24=0,\:and\:x+24=0

This implies that;

x=24,\:and\:x=-24

The correct choice is C

6 0
3 years ago
Daisy is trying to find the equation
podryga [215]
The y-intercept is (0,12), or just 12, hope this helps
5 0
2 years ago
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