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
stich3 [128]
1 year ago
5

Do you know how to use the Pythagorean identity?

Mathematics
1 answer:
goblinko [34]1 year ago
8 0

The Pythagorean theorem or identity is given by

  • H²=P²+B²
  • P²=H²-B²
  • B²=H²-P²

Where

  • B is base of right angle traingle
  • H is Hypotenuse
  • P is perpendicular
You might be interested in
Carlos has taken an initial dose of a prescription medication.
Marat540 [252]

Answer:

3.48 hours

Step-by-step explanation:

The equation is:

M(t)=20 e^{-0.86t}

Where

M(t) is the amount of medication remaining in mg

t is the time it takes, in hours

The questions asks HOW LONG it will take to make the remaining medication to 1 milligrams (1 mg)??

We have to substitute M(t) with "1" and find the corresponding value of "t". We will use natural log to solve this. Shown below:

M(t)=20e^{-0.86t}\\1=20e^{-0.86t}\\0.05=e^{-0.86t}\\Ln(0.05)=Ln(e^{-0.86t})\\Ln(0.05)=(-0.86t)Ln(e)\\t=\frac{Ln(0.05)}{-0.86}\\t=3.48

<u>Note: </u> Ln(e) = 1

This means, the amount of time it will take is about 3.48 hours

8 0
3 years ago
Forty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask
Kay [80]

Answer:

Let X be the event of feeling secure after saving $50,000,

Given,

The probability of feeling secure after saving $50,000, p = 40 % = 0.4,

So, the probability of not  feeling secure after saving $50,000, q = 1 - p = 0.6,

Since, the binomial distribution formula,

P(x=r)=^nC_r p^r q^{n-r}

Where, ^nC_r=\frac{n!}{r!(n-r)!}

If 8 households choose randomly,

That is, n = 8

(a) the probability of the number that say they would feel secure is exactly 5

P(X=5)=^8C_5 (0.4)^5 (0.6)^{8-5}

=56(0.4)^5 (0.6)^3

=0.12386304

(b) the probability of the number that say they would feel secure is more than five

P(X>5) = P(X=6)+ P(X=7) + P(X=8)

=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}

=28(0.4)^6 (0.6)^2 +8(0.4)^7(0.6)+(0.4)^8

=0.04980736

(c) the probability of the number that say they would feel secure is at most five

P(X\leq 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

=^8C_0 (0.4)^0(0.6)^{8-0}+^8C_1(0.4)^1(0.6)^{8-1}+^8C_2 (0.4)^2 (0.6)^{8-2}+8C_3 (0.4)^3 (0.6)^{8-3}+8C_4 (0.4)^4 (0.6)^{8-4}+8C_5(0.4)^5 (0.6)^{8-5}

=0.6^8+8(0.4)(0.6)^7+28(0.4)^2(0.6)^6+56(0.4)^3(0.6)^5+70(0.4)^4(0.6)^4+56(0.4)^5(0.6)^3

=0.95019264

8 0
3 years ago
11 cups is equal to how many pints
dlinn [17]
It is 5.5 us pints.........hope it helps

8 0
3 years ago
Read 2 more answers
Help with this one!!
shepuryov [24]
$21.44•.25=$5.36
So if you are asking just how much the shipping and handling is it’s $5.36 but if you are asking the total it’s. $26.80
$21.44+$5.36=$26.80
7 0
3 years ago
Read 2 more answers
There are 5 caterpillars in each tree, and there are 10 caterpillars on the ground. The table shows how the number of caterpilla
damaskus [11]
D.) because there are 5 caterpillars in every tree (t) and then you have to add the 10 that are on the ground giving you the total amount of caterpillars (c)
5 0
3 years ago
Read 2 more answers
Other questions:
  • Which is the correct formula to calculate the volume of a sphere?
    9·1 answer
  • Determine which graph represents a reflection across the x-axis of f(x) = 3(1.5)x.
    12·2 answers
  • What is the answer for -3(-5) - 16?
    6·1 answer
  • What is the measure if each interior angle of a 15-gon
    11·1 answer
  • Two cones have the same radii but one has a height four times larger than the other. How many small cones would be needed in ord
    12·1 answer
  • Please help! Picture below.
    11·2 answers
  • Describe the relationships amoung the measurement of the angles of a triangle
    12·1 answer
  • Need help pls help<br> :D
    14·2 answers
  • Giving brainliest &amp; a thanks if you answer all of them
    13·1 answer
  • Please help me with this!
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!