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
madam [21]
2 years ago
15

Write an equation that expresses the following relationship.

Mathematics
1 answer:
devlian [24]2 years ago
5 0

Answer:

Step-by-step explanation:

p = kd/u

p varies directly with d, p=md

p varies inversely with u, p=n/u

put them together

p=kd/u

as d goes up, p goes up.  as u goes up, p goes down

You might be interested in
1. find the sum of the following numbers: -4, 7, -3, -12, 9
Leni [432]

1.

= ( - 3 - 4 - 12) + (7 + 9)

=  - 19 + 16

=  - 3

2.

= ( - 5 - 8 - 10) + 23

=  - 23 + 23

= 0

6 0
3 years ago
Use a trigonometric function to find each value of x. Round to the nearest tenth if necessary.
Ulleksa [173]

Answer:

4.0

Step-by-step explanation:

Using trig identity Tangent, tangent is equal to opposite / adjacent side. Therefore tan30 = x/7, because x is the side opposite to 30 degrees and it is adjacent to 7, (note: adjacent side is never the hypotenuse)

To save time, tan 30 = sqrt(3)/3,

sqrt(3)/3 = x/7

x = 7*sqrt(3)/3 ~ 4.041

4 0
2 years ago
Prove that if a and b are integers, then a^2-4b egal or non-egal 2
Lera25 [3.4K]

Answer:

tex]a^2 - 4b \neq 2[/tex]

Step-by-step explanation:

We are given that a and b are integers, then we need to show that a^2 - 4b \neq 2

Let  a^2 - 4b = 2

If a is an even integer, then it can be written as a = 2c, then,

a^2 - 4b = 2\\(2c)^2 - 4b =2\\4(c^2 -b) = 2\\(c^2 -b) =\frac{1}{2}

RHS is a fraction but LHS can never be a fraction, thus it is impossible.

If a is an odd integer, then it can be written as a = 2c+1, then,

a^2 - 4b = 2\\(2c+1)^2 - 4b =2\\4(c^2+c-b) = 2\\(c^2+c-b) =\frac{1}{4}

RHS is a fraction but LHS can never be a fraction, thus it is impossible.

Thus, our assumption was wrong and a^2 - 4b \neq 2.

7 0
3 years ago
-10.7474..... as a fraction
kondaur [170]

In fraction, it would be:

-107474/10000

6 0
3 years ago
A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic
Rainbow [258]

angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

<u>Step-by-step explanation:</u>

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

c^2 = a^2 + b^2 - 2ab (cosx)

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ c^2 = a^2 + b^2 - 2ab (cosx)

⇒ c^2 -a^2 - b^2 = -2ab (cosx)

⇒ (cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}

⇒ (cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}

⇒ (cosx) =0.18310

⇒ cos^{-1}(cosx) = cos^{-1}(0.18310)

⇒ x = 79.45

The Law of Sines (or Sine Rule) is very useful for solving triangles:

\frac{a}{sin A} = \frac{ b}{sin B} =  \frac{c}{sin C}

We can now find another angle using the sine rule:

⇒\frac{ 8.6 }{ sin 79.45} = \frac{7.5}{ sin Y}

⇒sin Y = \frac{(7.5 (sin 79.45))}{  8.6}

⇒Y = 59.02 degrees

So, the third angle =180 - 79.45 - 59.02 = 41.53 degrees.

Therefore, angles formed by these tosses are  79.45, 59.02 and 41.53 degrees to the nearest hundredth.

4 0
3 years ago
Other questions:
  • What is 6050.287 rounded to the nearest tenth
    14·1 answer
  • How do you write 888,000,000 in science notation form
    10·2 answers
  • Do any of you have aleks the math sight
    12·1 answer
  • Find the length of x. Round to the nearest tenth, one decimal place.
    15·1 answer
  • Four cylindrical pillars of a building are to be painted. If the diameter of each pillar is 1.4m and it's height is 6m, find the
    13·1 answer
  • URGENT! PLEASE HELP!! I WON'T HESITATE TO MARK BRAINLIEST FOR FIRST CORRECT ANSWER!!!
    7·1 answer
  • Please help !!! question is below
    12·1 answer
  • Billy wants to hire a plumber to fix a faucet at his house. The plumber charges $125 initial fee and $85 per hour he is working.
    8·1 answer
  • The 10 students in the Environmental Club represent 10% of the students in the seventh grade. How many students are in the seven
    13·1 answer
  • Can someone/ anyone help me please I am begging you and I have nine other problems I need help with
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!