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marissa [1.9K]
3 years ago
5

Considere um triângulo retângulo, cujos ângulos agudos a e b satisfazem à condição cos a = 0,8 e cos b = 0,6 Determine a área de

sse triângulo, em cm² sabendo que o comprimento da hipotenusa é 5 cm.
Mathematics
1 answer:
Anni [7]3 years ago
7 0

Answer:

7.5 cm^2

Step-by-step explanation:

Aqui, temos Cos A = 0,8 = 8/10 = 4/5.

Cos B = 0,6 = 6/10 = 3/5.

O que isto significa é que os dois outros lados do triângulo retângulo são 3 cm e 5 cm, respectivamente.

Isso ocorre porque, o oposto do ângulo agudo A é adjacente ao ângulo agudo B e vice-versa.

Portanto, a partir dos valores de ambos, podemos obter os dois outros lados.

Matematicamente, a área da direita é 1/2 * b * h b e h são 3 e 5, respectivamente.

Assim, área = 1/2 * 3 * 5 = 7,5 cm ^ 2

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A meteorologist reports that there is a 30% chance the temperature will fall below freezing tomorrow. On any given day, the bus
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<h3>Answer:  18%</h3>

===========================================================

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Convert each percentage to decimal form

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3 years ago
Find the linear approximation of the function g(x) = 3 root 1 + x at a = 0. g(x). Use it to approximate the numbers 3 root 0.95
Virty [35]

Answer:

L(x)=1+\dfrac{1}{3}x

\sqrt[3]{0.95} \approx 0.9833

\sqrt[3]{1.1} \approx 1.0333

Step-by-step explanation:

Given the function: g(x)=\sqrt[3]{1+x}

We are to determine the linear approximation of the function g(x) at a = 0.

Linear Approximating Polynomial,L(x)=f(a)+f'(a)(x-a)

a=0

g(0)=\sqrt[3]{1+0}=1

g'(x)=\frac{1}{3}(1+x)^{-2/3} \\g'(0)=\frac{1}{3}(1+0)^{-2/3}=\frac{1}{3}

Therefore:

L(x)=1+\frac{1}{3}(x-0)\\\\$The linear approximating polynomial of g(x) is:$\\\\L(x)=1+\dfrac{1}{3}x

(b)\sqrt[3]{0.95}= \sqrt[3]{1-0.05}

When x = - 0.05

L(-0.05)=1+\dfrac{1}{3}(-0.05)=0.9833

\sqrt[3]{0.95} \approx 0.9833

(c)

(b)\sqrt[3]{1.1}= \sqrt[3]{1+0.1}

When x = 0.1

L(1.1)=1+\dfrac{1}{3}(0.1)=1.0333

\sqrt[3]{1.1} \approx 1.0333

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