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2 years ago

The base of a triangle is twice its hypotenuse, the sine of the angle opposite to its base is

Mathematics

2 answers:

agasfer [191]2 years ago

8 0

Answer:

Option (c) is correct .

The base of a triangle is twice its hypotenuse, the sine of the angle opposite to its base is $=\frac{1}{2}$

Step-by-step explanation:

Given : base = twice its hypotenuse

that is ,

Consider hypotenuse be x then base will be 2x .

Consider the right angled triangle in figure below with right angle at B and base BC.

∠A is the angle opposite to the base.

$\text sinA=\frac{\text Perpendicular}{\text Hypotenuse}$

$\text sinA=\frac{BC}{AC}$

$\text sinA=\frac{x}{2x}$

$\text sinA=\frac{1}{2}$

Thus, For the base of a triangle is twice its hypotenuse, the sine of the angle opposite to its base is $=\frac{1}{2}$

svetoff [14.1K]2 years ago

6 0

The answer b= 2h
the angle opposite to its base is a
so sina = b/2h= b/b=1
the answer is b) 1

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2 years ago

El producto de dos números consecutivos es 552 cuáles son esos números?

lara31 [8.8K]

Answer: 23 y 24 ( ó -23 y -24)

Step-by-step explanation:

Dos números consecutivos se escriben como:

n y (n + 1)

done n es un numero entero.

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Se escribe como:

n*(n + 1) = 552

n^2 + n = 552

n^2 + n - 552 = 0

Tenemos una cuadrática, las posibles soluciones son obtenidas con la formula de Bhaskara.

$n = \frac{-1 +- \sqrt{1^2 - 4*1*(-552)} }{2} = \frac{-1 +- 47}{2}$

Las dos soluciones son.

n = (-1 - 47)/2 = -48/2 = -24

n = (-1 + 47)/2 = 46/2 = 23

Si tomamos la primer solución, n = -24

Entonces los dos números consecutivos son:

n = -24

(n + 1) = -23

Si n = 23 entonces

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Lo cual tiene sentido, por que lo único que cambia son los signos, los cuales se cancelarían en la multiplicación.

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2 years ago

What is the probability that a point chosen at random in the triangle is also in the blue square? A blue square inside of an uns

Dmitrij [34]

Answer:

One-third

Step-by-step explanation:

we know that

The probability that a point chosen at random in the triangle is also in the blue square is equal to divide the area of the square by the area of triangle

step 1

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$A=\frac{1}{2}(9)(6)=27\ in^2$

step 2

Determine the area of the square

$A=(3^2)=9\ in^2$

step 3

Determine the probability

$P=\frac{9}{27}$

simplify

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2 years ago

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2 years ago

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A company manufactures aluminum mailboxes in the shape of a box with a half-cylinder top. The company will make 1863 mailboxes t

worty [1.4K]

Answer:

3433 m²

Step-by-step explanation:

From the image, we have a rectangular box without cover and half a cylinder on top.

Formula for surface area of rectangular box with top is;

S = 2(lh + wh + lw)

From the image,

l = 0.6 m

w = 0.4 m

h = 0.55 m

Thus;

S = 2((0.6 × 0.55) + (0.4 × 0.55) + (0.6 × 0.4))

S = 1.58 m²

Now, since the top is not included for this figure, then;

Surface area of this rectangular box is;

S1 = 1.58 - (lw) = 1.58 - (0.4 × 0.6) = 1.34 m²

Surface area of a cylinder is;

S = 2πr² + 2πrh

r is radius and in this case = 0.4/2 = 0.2 m

h = 0.6

S = 2π(0.2² + (0.2 × 0.6))

S = 1.005 m²

Since it is half cylinder, then we have;

S2 = 1.005/2

S2 = 0.5025 m²

Total surface area; S_t = S1 + S2

S_t = 1.34 + 0.5025

S_t = 1.8425 m²

This is the surface area of one mail box.

Thus, for 1863 mailboxes, total surface area is;

S = 1863 × 1.8425 = 3432.5775 m²

Approximating to the nearest Sq.m gives;

S = 3433 m²

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2 years ago