1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
victus00 [196]
3 years ago
9

Given directed line segment PR, find the coordinates of Q on PR such that the ratio of PQ to QR is 2:1.

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
4 0

Answer:

4/3, -3

Step-by-step explanation:

You might be interested in
What is the result when the number 64 is decreased by 8% ? Round your answer to the nearest te th
VladimirAG [237]

Answer:

58.9

Step-by-step explanation:

64-(8% of 64)=64-(8/100)×64=64(1-8/100)=

64×92/100=58.88

Rounded to tenth: 58.9

5 0
3 years ago
On the unit circle, if s is the length of the arc subtended by a central angle θ, measured in radians, then s = θ.
Gennadij [26K]
<span>a. True The question is pretty much the entire definition of a radian. For an unit circle, its entire circumference is 2π and the entire circle has 2π radians. A quarter circle, or 90°, or π/2 radians, have 1/4th of the circumference. And 2π/4 is π/2. This natural relationship is WHY higher mathematics uses radians for the measurement of angles rather than arbitrary units such as degrees.</span>
6 0
3 years ago
A machine at a bottling company fills water bottles. the number of bottles filled is proportional to the amount of time the mach
Whitepunk [10]

In the table shown below:

Let N be the number of bottles filled,

Let T be the time in hours.

Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

\begin{gathered} N\propto T \\ \text{Introducing a proportionality constant, we have } \\ N\text{ = kT} \\ \Rightarrow k\text{ = }\frac{N}{T} \\  \end{gathered}

Let's evaluate the value of k for each day.

Thus, on monday,

\begin{gathered} N\text{ = 9900} \\ T\text{ = 5.5} \\ \text{thus,} \\ k\text{ = }\frac{9900}{5.5} \\ \Rightarrow k\text{ = 1800} \end{gathered}

Tuesday:

\begin{gathered} N\text{ = }11160 \\ T\text{ = }6.2 \\ \text{thus,} \\ k\text{ = }\frac{11160}{6.2} \\ \Rightarrow k\text{ = 1800} \end{gathered}

Wednesday:

\begin{gathered} N\text{ = }12330 \\ T\text{ = }6.25 \\ \text{thus,} \\ k\text{ = }\frac{12330}{6.25} \\ \Rightarrow k\text{ = 1972.8} \end{gathered}

Thursday:

\begin{gathered} N\text{ = }10440 \\ T\text{ = }5.80 \\ \text{thus,} \\ k\text{ = }\frac{10440}{5.8} \\ \Rightarrow k=1800 \end{gathered}

It is observed that all exept wednesday have the same value of k.

Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.

3 0
1 year ago
Solve <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B3%7D%20%20%3D%20%20%5Cfrac%7Bh%7D%7Bh%20-%203000%7D%20" id="TexFormula1" ti
dezoksy [38]
<span>\sqrt{3}(h-3000)=h
</span>(\sqrt{3}h-\sqrt{3}(3000)=h
(\sqrt{3}-1)h=\sqrt{3}(3000)
h=\frac{\sqrt{3}(3000)}{(\sqrt{3}-1)}
=\frac{\sqrt{3}(3000)}{(\sqrt{3}-1)}
=7098.076 (approximately)
8 0
3 years ago
A set of equations is given below:
TEA [102]
The 3rd selection is appropriate.

.. 5b +1 = a = 3b +5
by the transitive property of equality,
.. 5b +1 = 3b +5
6 0
3 years ago
Other questions:
  • the angle of elevation of an object from a point 200 meters above a lake is 30 degrees and the angle of depression of it's image
    10·1 answer
  • A plane is flying at a rate of 400 miles per hour. After an 8 hour flight, the plane is at its destination. How far did the plan
    5·1 answer
  • Find an equation for the nth term of a geometric sequence where the second and fifth terms are -8 and 512
    8·1 answer
  • Jill charges a base rate of $25 per lawn plus $18 each hour she mows the lawn. Which equation
    15·1 answer
  • 3. (a) Find the student's total displacement for the entire trip.
    11·1 answer
  • What is the absolute value of the number indicated on the number line below?
    7·2 answers
  • 3) Jerry has $400 saved in his bank account and spends $15 a week.
    12·1 answer
  • Molly shared a spool of ribbon with 12 people. Each person received 3 feet of ribbon. Which equation can she use to find
    10·1 answer
  • There are 549 coins in a bottle.
    11·1 answer
  • Your cell phone plan costs $24.99 per month plus $0.16 for each text message you send or receive. You have at most $30 to spend
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!