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3 years ago

Find the area of the right triangle. If necessary, round to the nearest tenth.

Mathematics

1 answer:

natita [175]3 years ago

8 0

Answer:

a. 75 m

Step-by-step explanation:

Given,

Length of hypotenuse = 18m

Length of perpendicular = 10 m

To find:

Area of the right angled triangle

Formula to find area of the right angled triangle = $\frac{perpendicular * base}{2}$

To find: Length of base

Hypotenuse² = Perpendicular² + Base²

Base² = Hypotenuse² - Perpendicular²

Base² = 18² - 10²

Base² = 324 - 100

Base² = 224

Base = $\sqrt{224}$

Base = 14.97 m

Area of the right angled triangle = $\frac{perpendicular * base}{2}$

⇒ $\frac{10 * 14.87}{2}$

⇒ 74.85 m² or,

round to the nearest tenth = 75 m²

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Answer:

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Step-by-step explanation:

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Where

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3 years ago

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Answer:

drawing the graph of $f(g(x))=\sqrt{|x|}$

The graph is attached in the images below.

Option A is correct option.

Step-by-step explanation:

We are given:

$f(x)=\sqrt{x}$ and $g(x)=|x|$

We need to find graph of (fog)(x)

We know that (fog)(x)= f(g(x))

Placing x=g(x) i,e x=|x|

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The graph is attached in the images below.

Option A is correct option.

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3 years ago

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exis [7]

Answer:

$\dfrac{14}{29}$

Step-by-step explanation:

Let P(A) be the probability that goggle of type A is manufactured

P(B) be the probability that goggle of type B is manufactured

P(E) be the probability that a goggle is returned within 10 days of its purchase.

According to the question,

P(A) = 30%

P(B) = 70%

P(E/A) is the probability that a goggle is returned within 10 days of its purchase given that it was of type A.

P(E/B) is the probability that a goggle is returned within 10 days of its purchase given that it was of type B.

$P(A \cap E)$ will be the probability that a goggle is of type A and is returned within 10 days of its purchase.

$P(B \cap E)$ will be the probability that a goggle is of type B and is returned within 10 days of its purchase.

$P(E \cap A) = P(A) \times P(E/A)$

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If a goggle is returned within 10 days of its purchase, probability that it was of type B:

$P(B/E) = \dfrac{P(E \cap B)}{P(E)}$

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3 years ago

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tia_tia [17]

Answer:

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It can also have at most n-1 relative max/min in alternating order. This is best illustrated when such polynomial is sketched on a graph.

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