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SSSSS [86.1K]
2 years ago
7

If a 30-60-90 right triangle has a hypotenuse 6, what is the length of the short leg?

Mathematics
1 answer:
Anton [14]2 years ago
6 0

Answer:

\sqrt[3]{3}

Step-by-step explanation:

use the Pythagoras Theorem

Since you have the hypotenuse (6"), just go backwards. 62 = 36 = a2 + b2.

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The combined age of three sisters is 74. The eldest sisters age is twelve less than the sum of both sisters age. The middle sist
Anni [7]

Answer:

Step-by-step explanation:

let their ages be x,y,z and x>y>z

x+y+z=74  ...(1)

x=(y+z)-12

or x-y-z=-12   ...(2)

y=z+5   ...(3)

add (1) and (2)

2x=62

x=62/2=31

from (1)

31+y+z=74

y+z=74-31=43  

substitute from (3)

z+5+z=43

2z=43-5=38

z=38/2=19

y=19+5=24

so their ages are 31,24 and 19

4 0
3 years ago
What is the value of 9 in 3.309
Anna71 [15]
Its the ones place value I hope that helped
8 0
3 years ago
Comelia and Christopher are arguing about Real Number (R) Sets. Comelia says that all Whole (W) numbers are Rational (Q) and Chr
user100 [1]

Answer:

Comelia is correct.

Step-by-step explanation:

Rational numbers are those whole can be represented as a fraction.

=> Every fraction is a rational number.

Comelia Says:

All Whole Numbers are Rational Numbers

=> Example: 3 = rational number

=> 3 can be represented as a fraction

=> 30/10 = 300/100

So, Comelia's statement is correct.

Christopher Says:

All Rational Numbers are Whole Numbers

=> Example: 1/2 = Whole Number

=> 1/2 is a fraction

=> 1/2 = .5

=> .5 is not a whole number.

Whole numbers don't have numbers after the decimal point.

So, Christopher's statement is incorrect.

4 0
3 years ago
It takes 48 minutes for 7How many minutes does it take 20 people to paint 20 walls? People to paint 7 walls.
Stolb23 [73]
Reword this question, please.
7 0
3 years ago
Guys can you please help me I’m stuck
enot [183]

Answer:

The graph of the ellipse is shown in the attachment

vertices; ( -5,0) and (5,0)

co-vertices; (0, -2) and (0, 2)

foci; (\sqrt{21},0), (-\sqrt{21},0)

Step-by-step explanation:

The vertices and co-vertices of the ellipse are on the graph. They represent the turning points of the ellipse.

To determine the foci of the ellipse we write the given equation in standard form by dividing both sides by 100 and then simplifying;

\frac{x^{2} }{25}+\frac{y^{2} }{4}=1

We then determine the distance c from the center to the focus;

c^{2}=a^{2}-b^{2}

c=\sqrt{25-4}=\sqrt{21}

The foci of the ellipse are thus; (\sqrt{21},0), (-\sqrt{21},0)

3 0
3 years ago
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