Mathematics: Special right triangles: decimal answer ! what’s h and c ? ! me ? ! round to the nearest tenth.

Special right triangles: decimal answer ! what’s

Ответ:

tiarabivens0

10.01.2022

Mathematics

h = 1.41

c = 3.46

Step-by-step explanation:

See the triangles diagram attached.

For the first triangle, Base = h, Hypotenuse = 2 and the angle between base and hypotenuse is 45°.

Therefore, $\cos 45 = \frac{\textrm {Base}}{\textrm {Hypotenuse}} = \frac{h}{2}$

⇒ $h = 2 \cos 45 = \frac{2}{\sqrt{2} } = \sqrt{2} = 1.414 = 1.41$ (Answer)

{Rounded to the nearest tenth}

Again in the second triangle, Perpendicular = c, Hypotenuse = 4 and the angle between base and hypotenuse is 60°.

Therefore, $\sin 60 = \frac{\textrm {Perpendicular}}{\textrm {Hypotenuse}} = \frac{c}{4}$

⇒ $c = 4 \sin 60 = \frac{4 \times \sqrt{3} }{2} = 2\sqrt{3} = 3.46$ (Answer)

{Rounded to the nearest tenth}

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Ответ:

unknownyobutt21

20.12.2021

Mathematics

7.5 oz can of Dr.Pepper.

Step-by-step explanation:

Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.

Since we are given 3 specific values as well as a variable, and because this is a ratio problem we can use the Rule of Three technique in order to calculate the amount of Dr.Pepper that you can drink. This Technique is demonstrated in the picture attached below.

Let's apply this technique with the values given to us in the question.

40 grams ⇒ 12 oz

25 grams ⇒ x

$\frac{25*12}{40} = x$