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
mylen [45]
3 years ago
9

Use the Pythagorean theorem to find each missing length to the nearest tenth

Mathematics
2 answers:
telo118 [61]3 years ago
3 0
Answer: 10.4

explanation: a^2 + b^2 = c^2
plug in 3 for a and 10 for b
3^2 + 10^2 =c^2
simplify to get
109 =c^2
take the square root of both sides
c = sqrt109 or 10.44030651
Elis [28]3 years ago
3 0

Answer:

c<u> </u><u>(</u><u>the</u><u> </u><u>hypotenuse</u><u>)</u><u> = 10.4 units</u>

Step-by-step explanation:

Start off by rearranging the original pythangorean theorem (a^2+b^2=c^2) by taking the square root of both sides so it is in the form of a distance formula solving for c(the hypotenuse).

c^2 will become |c| as length cannot be negative so (labeling an absolute value is negligible)

a^2+b^2 = c^2

c^2 = a^2+b^2

√(c^2) = √(a^2+b^2)

<em>c = √(a^2+b^2)</em>

Then substitute the given lengths, in this scenario, sides a and b.

After you substitute, just simplify.

c = √(3^2+10^2) = √(9+100) = √109 ≈ 10.4 units (nearest tenth)

You might be interested in
Consider the diagram below which of the following represents the values of x and y?
V125BC [204]
Please show a picture of the diagram.
7 0
2 years ago
What is missing for the following quantity to be true? 3x + 4y + 7a = 4y + 3x + __
Alex
The answer to your question is 7a.

4 0
3 years ago
There are several peaches on a plate. Mary took c peaches from the plate, Andrew took the remaining y peaches. How many peaches
Karolina [17]

Answer:

c+y peaches

Step-by-step explanation:

since the questions does not mention any peaches that are left over even after Andrew took the y peaches, the c amount and y amount are all that were on the plate.

8 0
3 years ago
Suppose the weights of the Boxers at this club are Normally distributed with a mean of 166 pounds and a standard deviation of 5.
lesya [120]

Answer:

0.1994 is the required probability.      

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 166 pounds

Standard Deviation, σ = 5.3 pounds

Sample size, n = 20

We are given that the distribution of weights is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Standard error due to sampling =

=\dfrac{\sigma}{\sqrt{n}} = \dfrac{5.3}{\sqrt{20}} = 1.1851

P(sample of 20 boxers is more than 167 pounds)

P( x > 167) = P( z > \displaystyle\frac{167 - 166}{1.1851}) = P(z > 0.8438)

= 1 - P(z \leq 0.8438)

Calculation the value from standard normal z table, we have,  

P(x > 167) = 1 - 0.8006= 0.1994 = 19.94\%

0.1994 is the probability that the mean weight of a random sample of 20 boxers is more than 167 pounds

3 0
3 years ago
You spin the spinner and flip a coin. Find the probability of the compound event.
vitfil [10]

Answer:

3/4

Step-by-step explanation:

I'm actually not sure about this, probably don't put this in so you don't get it wrong.

4 0
3 years ago
Other questions:
  • if 360 is invested at an interest rate of 13 per year and its compound how much will the investment be in 3 years
    11·1 answer
  • Pure tin was mixed with a 4% tin alloy to produce an alloy that was 16% tin. How much pure tin and how much 4% alloy were used t
    13·1 answer
  • The dimensions of a rectangular garage are 100 times the dimensions of the floor plan of the garage .the area of the floor plan
    10·1 answer
  • I need help with this ASAP zoom in if u cat see it pls
    9·1 answer
  • Solve the equation for a a/c = d/r
    6·1 answer
  • A population of 200 animals has a growth rate of 1.03% each year. at this growth rate, the function f(x)=200(1.03)^x gives the p
    6·1 answer
  • Solving by factoring n^2+9n=-14
    7·2 answers
  • What is 815.755round to the nearest hundredth
    11·1 answer
  • Point (7,2)is translated vertically 2 units and horizontally -5 units. Where is the new
    15·1 answer
  • Allison measured a line to be 19.4 inches long. If the actual length of the line is 19.1
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!