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Eduardwww [97]
2 years ago
13

Amy drove to her mother’s house, which is 204 miles away. If it took her 3 hours, what was her average speed?

Mathematics
1 answer:
disa [49]2 years ago
7 0

Answer:

68 miles per hour. This is the right answer.

Step-by-step explanation:

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ron wants to build a ramp with a length of 14 ft and an angle of elevation of 26° the height of the ramp is about 6.1 ft. what i
Bezzdna [24]

Answer:

12.58 feet.

Step-by-step explanation:

Ron wants to build a 14 ft. ramp with an angle of the rise of 26° and the height of the ramp is about 6.1 ft.

We have to find out the length of the base of the ramp.

Now, the ramp forms a right triangle with the base and the height and here, the hypotenuse of the triangle is the ramp itself i.e. 14 ft.

If the base length is x feet, then we can write using the trigonometry

\cos 26^{\circ} =  \frac{\textrm{Base}}{\textrm {Hypotenuse}} = \frac{x}{14}

⇒ x = 14 cos 26° = 12.58 feet. (Answer)

4 0
3 years ago
PLS HELP! WILL GIVE BRAINLIST!!!!
neonofarm [45]

Answer:

It is a trinomal because there is 3 terms

It is a quadratic because the highest degree is x^2

All in all, It is a Quadratic Trinomal

Step-by-step explanation:

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2 years ago
I NEED HELP NOW PLZ!!
sashaice [31]

Answer:

D last one

Step-by-step explanation:

4 0
3 years ago
Buying a car
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Answer:

16,000

Step-by-step explanation:

20,000 x .20 = 4,000

20,000 - 4,000 = 16,000

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3 years ago
Read 2 more answers
For what value of k, the zeroes of x2 + kx + 12 will differ by 1?
asambeis [7]

Let <em>a</em> and <em>b</em> be the zeroes of <em>x</em>² + <em>kx</em> + 12 such that |<em>a</em> - <em>b</em>| = 1.

By the factor theorem, we can write the quadratic in terms of its zeroes as

<em>x</em>² + <em>kx</em> + 12 = (<em>x</em> - <em>a</em>) (<em>x</em> - <em>b</em>)

Expand the right side and equate the coefficients:

<em>x</em>² + <em>kx</em> + 12 = <em>x</em>² - (<em>a</em> + <em>b</em>) <em>x</em> + <em>ab</em>

Then

<em>a</em> + <em>b</em> = -<em>k</em>

<em>ab</em> = 12

The condition that |<em>a</em> - <em>b</em>| = 1 has two cases, so without loss of generality assume <em>a</em> > <em>b</em>, so that |<em>a</em> - <em>b</em>| = <em>a</em> - <em>b</em>.

Then if <em>a</em> - <em>b</em> = 1, we get <em>b</em> = <em>a</em> - 1. Substitute this into the equations above and solve for <em>k</em> :

<em>a</em> + (<em>a</em> - 1) = -<em>k</em>   →   2<em>a</em> = 1 - <em>k</em>   →   <em>a</em> = (1 - <em>k</em>)/2

<em>a</em> (<em>a</em> - 1) = 12   →   (1 - <em>k</em>)/2 • ((1 - <em>k</em>)/2 - 1) = 12

→   (1 - <em>k</em>)²/4 - (1 - <em>k</em>)/2 = 12

→   (1 - <em>k</em>)² - 2 (1 - <em>k</em>) = 48

→   (1 - 2<em>k</em> + <em>k</em>²) - 2 (1 - <em>k</em>) = 48

→   <em>k</em>² - 1 = 48

→   <em>k</em>² = 49

→   <em>k</em> = ± √(49) = ±7

8 0
3 years ago
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