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PIT_PIT [208]
2 years ago
14

Find the length of CE

Mathematics
1 answer:
saw5 [17]2 years ago
4 0

Answer:

C. 37.8 units

Step-by-step explanation:

ED = 17/ cos(38°) = 17 / 0.7880 = 21.6 units

DF = 17× tan (38°) = 17× 0.7813 = 13.3 units

CD = 10/13.3 × 21.6 = 16.2 units

so, the length of CE = 21.6+16.2 = 37.8 units

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Si a un múltiplo de 8 le sumo 1 obtengo un múltiplo de 5, ¿qué múltiplos de 8
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Answer:

24, 64

Step-by-step explanation:

If I add 1 to a multiple of 8 I get a multiple of 5, what multiples of 8

meet the condition? (Mention at least 2 of them)

3 x 8 + 1 = 25

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Orthogonalizing vectors. Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, a
jeka57 [31]

Answer:

\\ \gamma= \frac{a\cdot b}{b\cdot b}

Step-by-step explanation:

The question to be solved is the following :

Suppose that a and b are any n-vectors. Show that we can always find a scalar γ so that (a − γb) ⊥ b, and that γ is unique if b \neq 0. Recall that given two vectors a,b  a⊥ b if and only if a\cdot b =0 where \cdot is the dot product defined in \mathbb{R}^n. Suposse that b\neq 0. We want to find γ such that (a-\gamma b)\cdot b=0. Given that the dot product can be distributed and that it is linear, the following equation is obtained

(a-\gamma b)\cdot b = 0 = a\cdot b - (\gamma b)\cdot b= a\cdot b - \gamma b\cdot b

Recall that a\cdot b, b\cdot b are both real numbers, so by solving the value of γ, we get that

\gamma= \frac{a\cdot b}{b\cdot b}

By construction, this γ is unique if b\neq 0, since if there was a \gamma_2 such that (a-\gamma_2b)\cdot b = 0, then

\gamma_2 = \frac{a\cdot b}{b\cdot b}= \gamma

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3 years ago
Question 32 of 40<br> The ratio<br> opposite<br> hypotenuse<br> describes which function?
Helen [10]

The ratio \frac{Opposite}{Hypotenuse } describes the Sine function . The correct option is C. Sine

<h3>Trigonometry </h3>

From the question, we are to determine the function that the ratio of <em>opposite </em>to <em>hypotenuse </em>describes

By SOH CAH TOA

We have that

Sine = \frac{Opposite}{Hypotenuse }

Cosine = \frac{Adjacent}{Hypotenuse }

and

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Hence, the ratio \frac{Opposite}{Hypotenuse } describes the Sine function . The correct option is C. Sine

Learn more on Trigonometry here: brainly.com/question/956353

#SPJ1

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