3 years ago

A student ran 100 m dash in 15.4 seconds. What was the student speed in miles per hour

Mathematics

1 answer:

amid [387]3 years ago

8 0

15.4 seconds = 0.00428 hours and 100 meters = 0.062 miles soo the student ran approximately 14.5 mph

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Find the missing side. Round your answer to the nearest hundredth.<br> х<br> 28°<br> 42 in<br> in

sleet_krkn [62]

Answer:

The length of the missing side x = 47.57 in

Step-by-step explanation:

Given

Ф = 28°

The length of the side adjacent to the angle Ф is = 42 in

To determine

The hypotenuse x = ?

Using the trigonometric ratio

cos Ф = adjacent / hypotenuse

substitute adjacent = 42 in, hypotenuse = x and Ф = 28°

cos 28° = 42 / x

x = 42 / cos 28°

x = 47.57 in

Therefore, the length of the missing side x = 47.57 in

6 0

3 years ago

A parking lot has the shape of a parallelogram. The length of two adjacent sides are 70 meters and 100 meters. The angle between

Whitepunk [10]

The answer is 6577.85 m^2

7 0

3 years ago

Multiply. (2x2 + 4x - 3)(x2 - 2x + 5)

BigorU [14]

For a moment, let $y=x^2-2x+5$ . Then by the distributive property,

$(2x^2+4x-3)p=2x^2p+4xp-3p$

Again by the distributive property,

$2x^2p=2x^2(x^2-2x+5)=2x^4-4x^3+10x^2$

$4xp=4x(x^2-2x+5)=4x^3-8x^2+20x$

$-3p=-3(x^2-2x+5)=-3x^2+6x-15$

Taking everything together, we get

$(2x^2+4x-3)(x^2-2x+5)=(2x^4-4x^3+10x^2)+(4x^3-8x^2+20x)+(-3x^2+6x-15)$
$(2x^2+4x-3)(x^2-2x+5)=2x^4-x^2+26x-15$