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3 years ago

What is the approximate height of the hat?

Mathematics

2 answers:

alexira [117]3 years ago

3 0

4th option because you use the pythagorean theorem so 16^2 - 7.4^2= 201.24
which equals approx 14.19

Maru [420]3 years ago

3 0

Answer:

Option D.

Step-by-step explanation:

Pythagoras theorem says in a right angle triangle,

Hypotenuse² = Base² + height²

In this question given dimensions of the triangle are

Hypotenuse = 16 cm

and base = 7.4

Now from the formula

(16)² = (7.4)² + Height²

Height² = (16)² - (7.4)²

Height² = 256 - 54.76

Height = √(201.24)

= 14.19 cm

Therefore, Option D. will be the answer.

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Yuliya22 [10]

Answer:

x = 1

GF = 12

GH = 15

FH = 3

Step-by-step explanation:

G___F___H

GH = GF + FH

11x +4 = ( 3x +9) + (5x-2)

11x+4= 8x + 7

11x - 8x = 7-4

3x = 3

x =3/3

x = 1

GF = 3x + 9 = 3(1)+9=3+9=12

GH = 11x +4= 11(1)+4=11+4 = 15

FH = 5x - 2 = 5(1) - 2 = 5 - 2 = 3

I hope I helped you^_^

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3 years ago

Which three points are collinear in the figure below?

Alinara [238K]

You need to post the figure?

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3 years ago

Quadrilateral ABCD has vertices A (-3, 0), B (2, 4), C (3, 1), and D (-4, -3). Calculate the perimeter of the quadrilateral. Rou

Andru [333]

Answer:

Perimeter of the Quadrilateral=20.78

Step-by-step explanation:

Perimeter of the Quadrilateral= AB+BC+CD+AD

Finding the sides of the quadrilateral using the Distance formula:

A(-3,0), B(2,4), C(3,1) and D(-4,-3)

$AB=\sqrt{(2-(-3))^2+(4-0)^2}\\\\ =\sqrt{(2+3)^2+4^2}\\\\ =\sqrt{5^2+4^2} \\\\=\sqrt{25+16}\\\\ =\sqrt{41}\\$

$=6.40$

BC=

$\sqrt{(3-2)^2+(1-4)^2} \\\\=\sqrt{1^2+(-3)^2} \\\\=\sqrt{1+9}\\\\ =\sqrt{10}$

$=3.16$

$CD=\sqrt{(-4-3)^2+(-3-1)^2} \\\\=\sqrt{(-7)^2+(-4)^2} \\\\=\sqrt{49+16}\\\\=\sqrt{65}\\\\ =8.06$

$AD=\sqrt{(-4-(-3))^2+(-3-0)^2} \\\\=\sqrt{(-4+3)^2+(-3)^2} \\\\=\sqrt{(-1)^2+(-3)^2} \\\\=\sqrt{1+9}\\\\=\sqrt{10} \\\\ =3.16$

Perimeter of the quadrilateral= AB+BC+CD+AD

=6.40+3.16+8.06+3.16

=20.78

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3 years ago

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GalinKa [24]

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