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3 years ago

Please help with geometry test

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

8 0

Answer:

Option D: CE, ED, CD

Step-by-step explanation:

In a right triangle, the hypotenuse is always the longest side. Therefore, "CE, ED, CD" is the correct option.

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8 less than the product 8 and -4

sesenic [268]

Answer: The answer should be -40.

Step-by-step explanation: A product is the result of multiplication and in cases like this, "less than" points to the mathematical operation of subtraction.

So when you see product, you automatically know the problem deals with <em>multiplication</em>. When you see less than, you automatically know the problem deals with <em>subtraction</em>.

The translation of this problem is 8 · -4 = x, then x - 8 = a (aka the answer).

First step is to find x, then to find a.

Note that a positive times a negative will give you negative. 8 times 4 is 32, but since 4 is a negative number here, the answer would be -32.

From this we can conclude that x is -32.

8 · -4 = -32, then -32 - 8 = a

Final step is to find a, which would be the result of -32 - 8.

-32 - 8 is -40 (Note: a negative minus a positive is basically addition in negatives. For instance, if we did -2 - 2, it'll give us -4.).

a = -40

Your answer is -40.

7 0

4 years ago

If a projectile is fired with an initial speed of vo ft/s at an angle α above the horizontal, then its position after t seconds

Elena L [17]

Answer:

a) The bullet hits the ground after 64 seconds.

b) The bullet hits the ground 113,511.7 feet away.

c) The maximum height attained by the bullet is of 16,384 feet.

Step-by-step explanation:

Equations of motion:

The equations of motion for the bullet are:

$x(t) = (v_0\cos{\alpha})t$

$y(t) = (v_0\sin{\alpha})t - 16t^2$

In which $v_0$ is the initial speed and $\alpha$ is the angle.

Initial speed of 2048 ft/s at an angle of 30o to the horizontal.

This means that $v_0 = 2048, \alpha = 30$ .

$x(t) = (v_0\cos{\alpha})t = (2048\cos{30})t = 1773.62t$

$y(t) = (v_0\sin{\alpha})t - 16t^2 = (2048\sin{30})t - 16t^2 = 1024t - 16t^2$

(a) After how many seconds will the bullet hit the ground?

It hits the ground when $y(t) = 0$ . So

$1024t - 16t^2 = 0$

$16t^2 - 1024t = 0$

$16t(t - 64) = 0$

16t = 0 -> t = 0 or t - 64 = 0 -> t = 64

The bullet hits the ground after 64 seconds.

(b) How far from the gun will the bullet hit the ground?

This is the horizontal distance, that is, the x value, x(64).

$x(64) = 1773.62(64) = 113511.7$

The bullet hits the ground 113,511.7 feet away.

(c) What is the maximum height attained by the bullet?

This is the value of y when it's derivative is 0.

We have that:

$y^{\prime}(t) = 1024 - 32t$

$1024 - 32t = 0$

$32t = 1024$

$t = \frac{1024}{32} = 32$

At this instant, the height is:

$y(32) = 1024(32) - 16(32)^2 = 16384$

The maximum height attained by the bullet is of 16,384 feet.

7 0

3 years ago

Plz help meererr meeeeeeeeee

Marina86 [1]

Answer: -0.729

Step-by-step explanation:

3 0

4 years ago

Read 2 more answers

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Anika [276]

Answer:

Step-by-step explanation:

5(2) - (2)^3 = 10 - 8 = 2

3 0

3 years ago

How do you write something in scientific notation?

Contact [7]

Scientific notation is just a form of the number:

And the format is:

(A number greater than 1 but less than 10) times (10 to the power of x) ,where x can be positive or negative, but not a fraction or decimal

4 0

4 years ago

Read 2 more answers