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grandymaker [24]
4 years ago
6

Sanjay and Felipe are putting together a 500-piece puzzle. Sanjay could do the entire puzzle by himself in 6 hours, while it wou

ld take Felipe 8 hours to do the puzzle alone. A table showing Rate in part per hour, Time in hours, and Part of puzzle complete. The first row shows Sanjay, and has blank, t, t. The second row shows Felipe, and has blank, t, t. Use the table to write and solve an equation to determine the approximate amount of time it would take Sanjay and Felipe to do the puzzle if they were working together. 0.8 hours 1.7 hours 3.4 hours 7 hours
Mathematics
2 answers:
anyanavicka [17]4 years ago
7 0

Answer:

3.4h

Step-by-step explanation:

WARRIOR [948]4 years ago
7 0

Answer:

C      3.4 hours

Step-by-step explanation:

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30 points! PLEASE HELP!!<br> please help me with these 5 math questions
Free_Kalibri [48]

Answer:

1. b,

2.octagonal

3.d i think

4.vs

5.d

Step-by-step explanation:

took the quiz

8 0
3 years ago
An elevator descends 500 feet in 20 seconds.How would you express the change in the elevators height per second
KiRa [710]
The easiest way is to do some simple division, where 500 is the distance & 20 is the duration.

500  \div 20 = 25

The elevator is descending 25 ft/s.
8 0
3 years ago
Read 2 more answers
Kathryn draws three pairs of intersecting lines. In each figure, she measures a pair of angles. What is a reasonable conjecture
Ierofanga [76]
When two lines intersect, they will have a point of intersection where angles around this point will add up to 360°

Since the lines can intersect in many different ways, we cannot assume that the angles form will all be right angles (although this is possible, it doesn't always happen). The four angles can't also be all of the same sizes.

Refer to the diagram below, the intersection will definitely two pairs of vertical angles, x and y. 

Answer: <span>When a pair of lines intersect, the vertical angles are congruent.
</span>

4 0
3 years ago
Find an equation of the tangent line to the hyperbola x2 a2 − y2 b2 = 1 at the point (x0, y0).
nalin [4]

The equation of the tangent line is y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2}  }{a^{2} y_{0} } + y_{0}

To find the tangent to the hyperbola \frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} } at (x₀, y₀), we differentiate the equation implicitly to find the equation of the tangent at (x₀, y₀).

So, \frac{d}{dx} (\frac{x^{2} }{a^{2} } - \frac{y^{2} }{b^{2} }) = \frac{d0}{dx}\\\frac{d}{dx} \frac{x^{2} }{a^{2} } - \frac{d}{dx}\frac{y^{2} }{b^{2} }= 0\\\frac{2x }{a^{2} } - \frac{dy}{dx}\frac{2y }{b^{2} } = 0\\\frac{2x }{a^{2} } = \frac{dy}{dx}\frac{2y }{b^{2} } \\\frac{dy}{dx} = \frac{b^{2}x }{a^{2}y }

So, at (x₀, y₀)

\frac{dy}{dx} = \frac{b^{2} x_{0} }{a^{2} y_{0} }

So, the equation of the tangent line is gotten from the standard equation of a line in point-slope form

So, \frac{y - y_{0} }{x - x_{0} } = \frac{b^{2} x_{0} }{a^{2} y_{0} }  \\y - y_{0} = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) \\y = \frac{b^{2} x_{0} }{a^{2} y_{0} }(x - x_{0}) + y_{0} \\y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2}  }{a^{2} y_{0} } + y_{0}

So, the equation of the tangent line is y = \frac{b^{2} x_{0}x }{a^{2} y_{0} } - \frac{b^{2} x_{0}^{2}  }{a^{2} y_{0} } + y_{0}

Learn more about equation of tangent line here:

brainly.com/question/12561220

3 0
3 years ago
In a right triangle, Sin (30 + x) º = Cos (3x) º. What is the value of x?
pogonyaev

Answer:

x=15^\circ

Step-by-step explanation:

In a right triangle:

\sin \theta =cos(90^\circ-\theta) $ (Complementary angles)

Therefore, given:

Sin (30 + x) \º = Cos (3x) \º\\30+x+3x=90^\circ\\30+4x=90^\circ\\4x=90^\circ-30^\circ\\4x=60^\circ\\$Divide both sides by 4\\x=15^\circ

5 0
3 years ago
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