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3 years ago

Find the area of a rhombus with diagonals 9 ft. and 12 ft

Mathematics

1 answer:

aleksklad [387]3 years ago

3 0

The answer would be 54, because A= PQ over 2 = 9 x 12 over 2 = 54

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The apartments in Brian's apartment house are numbered consecutively on each floor. The sum of his number and his next-door neig

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If sum of numbers (a) +(b) is 1419 and
(a) and (b) are <span>neighbors , whe have:
a + b = 1419 and b-a = 1;
<=> </span>a + b = 1419 and <span>a = b-1 ;
so we have b-1 + b = 1419 <=> 2b = 1420 <=> b=710 and a = 709
Answer: 710 and 709

</span>

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3 years ago

Please help!!!

Leto [7]

Answer:

- The scientist can use these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

- The scientist can substitute these measurements into $cos\alpha=\frac{adjacent}{hypotenuse}$ and solve for the distance between the Sun and the shooting star (which would be the hypotenuse of the righ triangle).

Step-by-step explanation:

You can observe in the figure attached that "AC" is the distance between the Sun and the shooting star.

Knowing the distance between the Earth and the Sun "y" and the angle x°, the scientist can use only these two measurements to calculate the distance between the Sun and the shooting star by applying one of the trigonometric functions: Cosine of an angle.

This is:

$cos\alpha=\frac{adjacent}{hypotenuse}$

In this case:

$\alpha=x\°\\\\adjacent=BC=y\\\\hypotenuse=AC$

Therefore, the scientist can substitute these measurements into $cos\alpha=\frac{adjacent}{hypotenuse}$ , and solve for the distance between the Sun and the shooting star "AC":

$cos(x\°)=\frac{y}{AC}$

$AC=\frac{y}{cos(x\°)}$

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