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4 years ago

What’s the value of x. Please answer ASAP will give you five stars

Mathematics

2 answers:

maks197457 [2]4 years ago

8 0

Answer:

x = 5

Step-by-step explanation:

Pythagorean theorem states $a^{2}+b^{2}=c^{2}$ (that is, the sum of the squares of the length of each side of a right triangle equals the length of the hypotenuse squared.

$4^{2}+3^{2}=x^{2}$

This simplifies to $25=x^{2}$

Take the square root of both sides to get the value of x.

$\sqrt{25}=\sqrt{x^{2}}$

And finally, this simplifies to x=5.

Mekhanik [1.2K]4 years ago

6 0

Answer:

X=5

Step-by-step explanation:

X^2=4^2+3^2

X^2=25

X=5

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3 years ago

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3 years ago

Flying against the wind, a jet travels 2190 miles in 3 hours. Flying with the wind, the same jet travels 9520 miles in 8 hours.

dezoksy [38]

Answer:

Velocity of jet in still air is 970 miles per hour and velocity of wind is 210 miles per hour.

Step-by-step explanation:

Jet's velocity against wind is

3040/4 = 760 miles per hour and flying with wind it is

8260/7 = 1180 miles per hour.

Let the velocity of jet in still air be x miles per hour and velocity of wind be y miles per hour.

As such its velocity against wind is x − y and with wind is x + y and therefore

x − y = 760 and x + y = 1180

Adding the two 2 x = 1940 and x = 970 and y = 1180 − 970 = 210

Hence velocity of jet in still air is 970 miles per hour and velocity of wind is

210 miles per hour.

Actual Answer:

https://socratic.org/questions/flying-against-the-wind-a-jet-travels-3040-miles-in-4-hours-flying-with-the-wind

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3 years ago

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4 years ago

you are buying wood to build a gate for your backyard. if your car trunk has the following dimensions (47 inches by 33 inches by

riadik2000 [5.3K]

The longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.

<h3>How to measure diagonal of the cuboid?</h3>

The length of the diagonal of the cuboid is found out using the following formula.

$D=\sqrt{l^2+b^2+h^2}$

Here, (l) is the length of the cuboid, (w) is the width, and (h) is the height of the cuboid.

The wood has to buy to build a gate for backyard. The car trunk has the following dimensions (47 inches by 33 inches by 19.5 inches). Here, we have,

Length (l)=47 in
Width (w)=33 in
Height (h)=19.5 in

The longest piece of wood which fits is equal to the length of diagonal of cuboid. Put the values in the formula,

$D=\sqrt{47^2+33^2+19.5^2}\\D=\sqrt{3678.25}\\D=60.65\rm\; in$

Thus, the longest piece of wood that could fit in your trunk to build a gate for the backyard is 60.65 inches.

Learn more about the cuboid here;

brainly.com/question/22694657

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2 years ago