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tankabanditka [31]
3 years ago
9

If the legs of an isosceles right triangle are 6 units long find the length of the hypotenuse

Mathematics
1 answer:
Degger [83]3 years ago
8 0

Answer:

Length of the hypotenuse = 8.5 units

Step-by-step explanation:

Given the length of the sides of an isosceles right triangle to be 6units

Hint: an hypotenuse is the longest line

To solve this, we use Pythagoras rule

Hypotenuse^2 = adjacent ^2 + opposite ^2

Adjacent = opposite = 6

Let our hypotenuse to be a

a^2 = 6^2 + 6^2

a^2 = 36 +36

a^2 = 72

To get a, let's find the square root of 72

a = 8.485 unit

Therefore, the length of the hypotenuse = 8.5 units

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Last year, James earned £1,300 per month.
mrs_skeptik [129]

Answer:

1300/100 X 105 = 1365

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341.25/40= 8.53125

$8.53

6 0
3 years ago
Write the equation of the line in fully simplified slope intercept form
yan [13]

The equation of the given line is y = 5/6x - 2

The standard equation of a line in slope-intercept form is expressed as

y = mx + b

m is the slope of the line

b is the y-intercept

Using the coordinate point (0, -2) and (-6, 3)

Slope m = 3-(-2)/-6-0

m = 5/6

Since the line cuts the y-axis at y = -2, hence the y-intercept is -2.

Find the equation of a line;

y = mx + b

y = 5/6x + (-2)

y = 5/6x - 2

Hence the equation of the given line is y = 5/6x - 2

Learn more on equation of a line here: brainly.com/question/7098341

8 0
2 years ago
Rhianna's movie collection contains 18 movies, including 8 comedies.
garri49 [273]
The answer would be =4 over 9 =4/9 hope this helps
7 0
3 years ago
(1+1/3)^2-2/9 <br> PLS HELPPPP MEEEE
Amiraneli [1.4K]

Answer:

14/9 or 1.555556

Step-by-step explanation:

1) Simplify 1 + 1/3 to 4/3.

(4/3)^2 - 2/9

2) Use Division Distributive Property: (x/y)^a = x^a/y^a.

4^2/3^2 - 2/9

3) Simplify 4^2 to 16.

16/3^2 - 2/9

4) Simplify 3^2 to 9.

16/9 - 2/9

5) Simplify.

14/9

(Decimal form: 1.555556)

Thanks, Eddie

8 0
1 year ago
What is -105/-77 simplified?
ella [17]

Answer:  

\frac{-15}{-11}

Step-by-step explanation:

To simplify more known as reduced we have to find the fraction as and equivalent fraction

<h3>Definition</h3>

Equivalent Fraction - are the fractions that have different numerators and denominators but are equal to the same value.  

<h3>Look for the GCF</h3>

To find the   we must list out the  of   and  

77:1, 7, 11 ,77\\\\1, 3, 5, 7, 15, 21, 35 , 105

<em>Our </em>GCF is 7

<h3>Our fraction</h3><h3 /><h3>\frac{-105}{-77}</h3><h3 /><h3>Reduce</h3><h3 />

Definition of reduce <em>- reduction refers to the rewriting of an expression into a simpler form </em>

Divide the numerator and denominator by 7

<h3>Our fraction is \frac{-15}{-11}</h3><h3 />

7 0
2 years ago
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