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2 years ago

The car treves 15 milies in 3 hours.

Mathematics

1 answer:

solong [7]2 years ago

3 0

9514 1404 393

Answer:

5 mph
50 miles

Step-by-step explanation:

To find miles per hour, divide miles by hours:

(15 mi)/(3 h) = 15/3 mi/h = 5 mi/h

To find distance, multiply speed by time.

(5 mi/h) × (10 h) = 50 mi

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In Exercises 5-7, find all the exact t-values for which the given statement is true,

bearhunter [10]

Answer: See Below

Step-by-step explanation:

NOTE: You need the Unit Circle to answer these (attached)

5) cos (t) = 1

Where on the Unit Circle does cos = 1?

Answer: at 0π (0°) and all rotations of 2π (360°)

In radians: t = 0π + 2πn

In degrees: t = 0° + 360n

******************************************************************************

$6)\quad sin (t) = \dfrac{1}{2}$

Where on the Unit Circle does $sin = \dfrac{1}{2}$

Hint: sin is only positive in Quadrants I and II

$\text{Answer: at}\ \dfrac{\pi}{6}\ (30^o)\ \text{and at}\ \dfrac{5\pi}{6}\ (150^o)\ \text{and all rotations of}\ 2\pi \ (360^o)$

$\text{In radians:}\ t = \dfrac{\pi}{6} + 2\pi n \quad \text{and}\quad \dfrac{5\pi}{6} + 2\pi n$

In degrees: t = 30° + 360n and 150° + 360n

******************************************************************************

$7)\quad tan (t) = -\sqrt3$

Where on the Unit Circle does $\dfrac{sin}{cos} = \dfrac{-\sqrt3}{1}\ or\ \dfrac{\sqrt3}{-1}\quad \rightarrow \quad (1,-\sqrt3)\ or\ (-1, \sqrt3)$

Hint: sin and cos are only opposite signs in Quadrants II and IV

$\text{Answer: at}\ \dfrac{2\pi}{3}\ (120^o)\ \text{and at}\ \dfrac{5\pi}{3}\ (300^o)\ \text{and all rotations of}\ 2\pi \ (360^o)$

$\text{In radians:}\ t = \dfrac{2\pi}{3} + 2\pi n \quad \text{and}\quad \dfrac{5\pi}{3} + 2\pi n$

In degrees: t = 120° + 360n and 300° + 360n

4 0

3 years ago

Explain why segments connecting any pair of corresponding vertices of congruent pentagons are congruent. make a sketch to suppor

Veronika [31]

Answer:

Congruence between pentagons

Step-by-step explanation:

The relationship occurs because having two congruent Pentagons and generating a segment within them (or outside), congruence is extrapolated to the triangles generated within them. Thus, if there is congruence among the pentagons, it will exist between the formed triangles. In other words since the two pentagons are congruent, the corresponding angle pair is congruent. also the two corresponding side pairs are also congruent.

In the attached image for example, the ABCDE and KLMNO pentagons are congruent, so all of their internal division lines are also congruent (AC and KM)

8 0

2 years ago

What is 3/4 times 17/6?

dezoksy [38]

I hope this helps you

5 0

3 years ago

HELP ASAP PLEASE! BRAINLIEST!!

tatuchka [14]

Answer:

a function is a constant on a interval and the constant is a interval which is horizontal in the entire interval the way a constant interval can be produce is by putting a interval horizontal

Step-by-step explanation:

If I'm wrong I'm so sorry

If I'm right Thank you and (Brainliest plz)

6 0

2 years ago

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malfutka [58]

You have to show the top of the page!!

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3 years ago