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
vovangra [49]
3 years ago
14

Given ΔABC, what is the value of x? Write the answer as a decimal number.

Mathematics
1 answer:
natta225 [31]3 years ago
8 0
If the angle ABC is 90°, then x=8,9
You might be interested in
Scenario: Two people in a major city with a population of 450,000 get infected with a rapidly spreading virus. If each day the i
zmey [24]

1) See attachment.

2) See attachment

3) y=2^{x+1}

4) 17.8 days

Step-by-step explanation:

1)

The table is in attachment.

In this problem, we are told that the initial number of people infected ad day zero is two, so the first row is (0,2).

Then, we are told that each day, an infected person infects 2 additional people. Therefore, at day 1, the number of infected people will be 2*2=4.

Then, each of the 4 persons infect 2 additional persons, so the number of infected people at day 2 will be 4*2=8.

Continuing the sequence, the following days the number of infected people will be:

8*2 = 16

16*2 = 32

32*2 = 64

2)

The graph representing the situation is shown in attachment.

On the x-axis, we have represented the day, from zero to 5.

On the y-axis, we have represented the number of infected people.

We see that the points on the graph are:

0, 2

1, 4

2, 8

3, 16

4, 32

5, 64

3)

Here we have to create a mathematics model (so, an equation) representing this scenario.

First of all, we notice that the number of infected people at day 0 is 2:

p(0)=2

To write an equation, we call x the number of the day; this means that at x = 0, the value of y (number of infected people) is 2:

y=2

Then, at day 1 (x=1), the number of infected people is doubled:

y(1)=2y(0)=2\cdot 2 = 4

And so on. This means that for each increase of x of 1 unit, the value of y doubles: so, we can represents the model as

y=2\cdot 2^x

Or

y=2^{x+1}

4)

Here we are told that the entire city has a population of

p = 450,000

people.

In order for the virus to infect the whole population, it means that the value of y must be equal to the total population:

y = 450,000

Substituting into the equation of the model, this means that

450,000 = 2^{x+1}

And solving for x, we find the number of days after which this will happen:

log_2(450,000)=x+1\\x=log_2(450,000)-1=17.8 d

So, after 17.8 days.

8 0
2 years ago
What are fractions?​
zlopas [31]

Answer:

a numerical quantity that is not a whole number

8 0
3 years ago
Read 2 more answers
The product of the page numbers on two facing pages of a book is 156. Find the page numbers
Gnoma [55]

Let x be the page number then x+1 would be the other page number (because the pages are two facing pages which means they follow on consecutively)

Then

(x)(x+1) = 156

x^2 + x - 156 = 0

x = 12 or x = -13( but x can't be a negative number)

so x = 12

and the next page is 13

3 0
3 years ago
Question<br><br> Express the inequality x &gt; -1 using interval notation
Nimfa-mama [501]

Step-by-step explanation:

x > -1

x = {0,1,2,...}

\lang -1,+\infty \rang

4 0
2 years ago
C=wtc/1000 solve for w
Nutka1998 [239]
For this case we have the following equation:
 C =  \frac{wtc}{1000}
 To clear w, we must follow the following steps:
 1) The value of t multiplied by c pass to divide the other side of the equation:
 \frac{w}{1000} =  \frac{C}{tc}
 2) the value of 1000 is passed to multiply to the other side of the equation:
 w = \frac{1000C}{tc}
 Answer:
 
The cleared equation for w is:
 
w = \frac{1000C}{tc}
3 0
3 years ago
Read 2 more answers
Other questions:
  • If you are a student with no assets of any value and have liability insurance on an old car that pays a
    8·1 answer
  • 23/20 or 110% which is greater?
    12·1 answer
  • What is 23/9 As a mixed number
    8·1 answer
  • Help me answer this please and thanks
    10·2 answers
  • A cake was divided into thirds.Lisa ate 1/3 of one of the thirds what part of the cake did she eat?
    5·2 answers
  • Brainliest are involved lol
    15·2 answers
  • What is the 100th term in the list?<br>10<br>17<br>24<br>31<br>38​
    9·1 answer
  • What value of x makes the equation below true 5(x − 8) + 26 = −9? A 1 B -1 C 15 D -15
    13·1 answer
  • The diagram represents the factorization of a2 8a 12. A 2-column table with 2 rows. First column is labeled a with entries a squ
    7·1 answer
  • Find the values of x for which the denominator is equal to zero for 2x^2+5/x^2-2x .
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!