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1 year ago

The completed construction of regular hexagon is shown below explain why act is a 30-60-90 triangle

1 answer:

7 0

In a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg.

<h3>How to explain the reason</h3>

ACF is a 30º-60º-90º triangle because of the following reasons;

Based on a theorem, in a 30°-60°-90° triangle, it is said that the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg,

1 → short leg = 1

2 → hypotenuse = 2

√3 → long leg = √3

Using the Pythagorean theorem., we have that

a² + b² = c²

1² + b² = 2²

b² = 2² - 1²

b² = 4 - 1

b² = 3

√b² = √3

b = √3

Thus, in a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg.

Learn more about Pythagorean theorem here:

https://brainly.in/question/48490459

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Select True or false for each statement

PilotLPTM [1.2K]

Answer:

False

True

False

Step-by-step explanation:

1. We have to get the sum as follows :

$3\frac{4}{9} + 4\frac{6}{9}$

= $\frac{31}{9} + \frac{42}{9}$

= $\frac{31 + 42}{9}$

= $\frac{73}{9}$

= $8\frac{1}{9} \neq 7\frac{1}{9}$

So, this is false.

2. We have to get the sum as follows :

$4\frac{5}{6} + 1\frac{3}{6}$

= $\frac{29}{6} + \frac{9}{6}$

= $\frac{29 + 9}{6}$

= $\frac{38}{6}$

= $6\frac{2}{6}$

So, this is true.

3. We have to get the difference as follows :

$4\frac{5}{8} - 2\frac{4}{8}$

= $\frac{37}{8} - \frac{20}{8}$

= $\frac{37 - 20}{8}$

= $\frac{17}{8}$

= $2\frac{1}{8} \neq 2\frac{3}{8}$

So, this is false.

4. We have to get the difference as follows :

$7\frac{5}{8} - 4\frac{2}{8}$

= $\frac{61}{8} - \frac{34}{8}$

= $\frac{61 - 34}{8}$

= $\frac{27}{8}$

= $3\frac{3}{8} \neq 3$

So, this is also false. (Answer)

5 0

3 years ago

Determine the resulting polynomial: f ( x ) = 7 x + 9 f(x)=7x+9 g ( x ) = − 5 x 2 − 2 x − 8 g(x)=−5x 2 −2x−8 Find: f ( x ) ⋅ g (

S_A_V [24]

:) Brainliest pls?

Answer:

f(x) * g(x) = -35x^3 - 59x^2 - 74x - 72

Step-by-step explanation:

If f(x) = 7x+9 ang g(x) = -5x^2 - 2x - 8, then

f(x) * g(x) will be:

(7x+9)(-5x^2 - 2x -8)

f(x) * g(x) = -35x^3 - 59x^2 - 74x - 72

7 0

3 years ago

Ten times the square of a non-zero number is equal to fifty times the number. what is the number?

lys-0071 [83]

10x^2 = 50x.....subtract 50x from both sides
10x^2 - 50x = 0...factor
10x(x - 5) = 0

10x = 0
x = 0 <== this one is eliminated because x cannot be zero

x - 5 = 0
x = 5 <== ur answer

4 0

3 years ago

2) Select one of your sides.

svlad2 [7]

Answer:

Step-by-step explanation:

nachos=3 =100%

1.5=50%

0.50=25%

0.25=12.5%

4 0

3 years ago

An illusionist needs up to 10 volunteers for a show. the illusionist needs no fewer than 4 female volunteers. let x represent th

tatyana61 [14]

An illusionist needs up to 10 volunteers for a show. the illusionist needs no fewer than 4 female volunteers. let x represent the number of femalevolunteers and y represent the number of male volunteers.which inequalities model the situation?select each correct answer.

A- x + y < 10
<span>B- x + y ≤ 10 & </span>x ≥ 4
C- x > 4
D- x ≥ 4
E- y > 0
G- y ≥ 0

Solution :
option "B" is correct. Because the total number of male and female should be upto 10. and the number of female should be equal or greater than 4 but not less than it.

4 0

3 years ago

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