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Levart [38]
3 years ago
14

Find the measure of the angle indicated in bold, which is 6x

Mathematics
1 answer:
DerKrebs [107]3 years ago
6 0
The measure of that angle is 60 degrees. To solve this, first, you set the 2 measures equal to each other, because they are congruent. So your equation is 6x=5x+10. Subtract 5x from both sides, leaving you with x=10. Lastly, substitute 10 for x. You multiply 6 by 10, which equals 60.
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Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of
satela [25.4K]

Answer:

The position P is:

P = 87\^x + 75\^y ft     <u><em> Remember that the position is a vector. Observe the attached image</em></u>

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity s_0 is:

y(t) = y_0 + s_0t -16t ^ 2

Where y_0 is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

s_0 = 82sin(58\°) ft/sec

s_0 = 69.54 ft/sec

Thus

y(t) = 69.54t -16t ^ 2

The height after 2 sec is:

y(2) = 69.54 (2) -16 (2) ^ 2

y(2) = 75\ ft

Then the equation that describes the horizontal position of the ball is

X(t) = X_0 + s_0t

Where

X_ 0 = 0 for this case

s_0 = 82cos(58\°) ft / sec

s_0 = 43.45 ft/sec

So

X(t) = 43.45t

After 2 seconds the horizontal distance reached by the ball is:

X (2) = 43.45(2)\\\\X (2) = 87\ ft

Finally the vector position P is:

P = 87\^x + 75\^y ft

6 0
3 years ago
What is the value of x? Enter your answer in the box.
Pavlova-9 [17]
The answer to x would be 0

5 0
3 years ago
The measures of the angles of a triangle are shown in the figure below. Solve for x.
slavikrds [6]

Answer:

x=13

Step-by-step explanation:

We add all the numbers together, and all the variables

6x-78

We move all terms containing x to the left, and all other terms to the right

6x=78

x=78/6

which should equal 13

3 0
1 year ago
Use the remainder Theorem to find the remainder for the given division. (16z^4-1)/(z+1)
Mice21 [21]

Remainder Theorem: when a polynomial <em>P(x) </em>is divided <em>by (x - a), </em>the remainder is <em>P(a).</em>

<em />

Given expression:

\frac{16z^{4}-1}{z+1}

In this case:

P(z)=16z^4-1z=-1

To know the reminder, we have to plug in the value of <em>z </em>in the polynomial:

P(-1)=16(-1)^4-1

Simplifying:

P(-1)=16(1)^{}-1P(-1)=16^{}-1P(-1)=15

Answer: The remainder is 15.

7 0
1 year ago
What is 11 rounded off to the nearest hundred
fenix001 [56]
The answer is 0 because it isn't above 49 and therefore can't be rounded to 100.

Hope this helps :)
3 0
3 years ago
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