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
I am Lyosha [343]
3 years ago
15

What is the length of the dotted line in the diagram below? Leave your answer in simplest radical form.

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
8 0

Answer:

The length of the dotted line is √93.

Step-by-step explanation:

<em>Use Pythagorean Theorem to solve the hypotenuse of the top triangle.</em>

8² + 5² = √89

<em>√89 is now known as the measurement of the bottom line as well. We can visualize the dotted line as the hypotenuse of a triangle and solve for it using Pythagorean Theorem again.</em>

√89² + 2² = √93

Pachacha [2.7K]3 years ago
6 0

Answer:

\sqrt{93}

Step-by-step explanation:

8^2+5^2=c^2

64+25=c^2

89=c^2

c=\sqrt{89} <-- this is the length of the rectangle at the bottom

2^2+(\sqrt{89})^2=c^2

4+89=c^2

c=\sqrt{93}  <-- length of dotted line (diagonal)

You might be interested in
Find the maximum value of the function
romanna [79]
The maximum value of the function is 5/4.
6 0
3 years ago
Read 2 more answers
Find the slope given these points (0,5) &amp; (6,2)
andrezito [222]

Answer:

m= -1/2

Explanation:

Use the <u>slope formula</u> to find the <u>slope</u> m

5 0
3 years ago
The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What
Gekata [30.6K]

Answer:

68

ignore the rest of this i need 20 charecters

7 0
3 years ago
HELP i’m having trouble with my homework assignments
Aleksandr-060686 [28]

Answer:

Collin: about $401 thousand

Cameron: about $689 thousand

Step-by-step explanation:

A situation in which doubling time is constant is a situation that can be modeled by an exponential function. Here, you're given an exponential function, though you're not told what the variables mean. That function is ...

P(t)=P_0(2^{t/d})

In this context, P0 is the initial salary, t is years, and d is the doubling time in years. The function gives P(t), the salary after t years. In this problem, the value of t we're concerned with is the difference between age 22 and age 65, that is, 43 years.

In Collin's case, we have ...

P0 = 55,000, t = 43, d = 15

so his salary at retirement is ...

P(43) = $55,000(2^(43/15)) ≈ $401,157.89

In Cameron's case, we have ...

P0 = 35,000, t = 43, d = 10

so his salary at retirement is ...

P(43) = $35,000(2^(43/10)) ≈ $689,440.87

___

Sometimes we like to see these equations in a form with "e" as the base of the exponential. That form is ...

P(t)=P_{0}e^{kt}

If we compare this equation to the one above, we find the growth factors to be ...

2^(t/d) = e^(kt)

Factoring out the exponent of t, we find ...

(2^(1/d))^t = (e^k)^t

That is, ...

2^(1/d) = e^k . . . . . match the bases of the exponential terms

(1/d)ln(2) = k . . . . . take the natural log of both sides

So, in Collin's case, the equation for his salary growth is

k = ln(2)/15 ≈ 0.046210

P(t) = 55,000e^(0.046210t)

and in Cameron's case, ...

k = ln(2)/10 ≈ 0.069315

P(t) = 35,000e^(0.069315t)

5 0
3 years ago
Help me solve this problem
SIZIF [17.4K]

Step-by-step explanation:

i don't get the question

8 0
3 years ago
Other questions:
  • The complement of a 35 angle is an with a measure of ?<br> A)55<br> B)35<br> C)145<br> D)65
    10·1 answer
  • How do i Factor 9x^6
    7·2 answers
  • If the variance of a variable is 16​, what is the standard​ deviation?
    9·1 answer
  • Which function is the result of vertically shrinking ƒ(x) = x2 by a factor of 1∕3 and translating it to the right 7 units?
    14·1 answer
  • What is the slope of line of 19,-16 and -7,-15
    10·1 answer
  • Which expression is equal to 5÷8
    6·1 answer
  • The step function f(x) is graphed.
    13·2 answers
  • Evaluate the expression when a = -3. a^2 +6a +8​
    8·1 answer
  • Anyone know the answer? I’ll give you brain list if you get it right.
    5·1 answer
  • А 5. Protein Bar A has 15 grams of protein in
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!