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Sedbober [7]
3 years ago
15

Find the missing length

Mathematics
2 answers:
SashulF [63]3 years ago
6 0

Answer:

c = 37

Step-by-step explanation:

Pythagorean thm formula:

a² + b² = c²

Given:

a = 12

b = 35

Work:

a² + b² = c²

12² + 35² = c²

144 + 1225 = c²

c² = 1369

\sqrt{c^2} =\sqrt{1369}

c = 37

IgorC [24]3 years ago
3 0

Answer:

c=37in.

Step-by-step explanation:

We have to use the Pythagorean theorem here

a^{2} +b^2=c^2

So,

12^2+35^2=c^2

144+1225=c^2

1369=c^2

Now, we need to find the square root of 1369

\sqrt{1369} =\sqrt{c^2}

37=c

Hope this helps.

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enot [183]

Answer:

37.2

Step-by-step explanation:

when you turn the small triangle LMN to its right angle to cover the right angle of KLM, you find that they are similar triangles.

therefore the corresponding side lengths are at the same ratio.

LM/KM = MN/LN

LM = 24

MN = 13

we can get LN via Pythagoras of the small triangle

LN² + MN² = LM²

LN² + 13² = 24²

LN² = 24² - 13² = 576 - 169 = 407

LN = sqrt(407) = 20.174241

now back to our main problem

24/KM = 13/sqrt(407)

24×sqrt(407)/13 = KM = 37.2

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3 years ago
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ikadub [295]
8.24621 is the distance between the points
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3 years ago
Write down the inequality described by "half of x is no more than six", and solve it<br>​
Montano1993 [528]
X/.5 > 6
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5 0
3 years ago
A shipment of 50 precision parts including 4 that are defective is sent to an assembly plant. The quality control division selec
natali 33 [55]

Answer:

0.3968 = 39.68% probability this shipment passes inspection.

Step-by-step explanation:

The parts are chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x successes is given by the following formula:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

In which:

x is the number of successes.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

50 parts means that N = 50

4 defective means that k = 4

10 are chosen, which means that n = 10

What is the probability this shipment passes inspection?

Probability that none is defective, so:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,50,10,4) = \frac{C_{4,0}*C_{46,10}}{C_{50,10}} = 0.3968

0.3968 = 39.68% probability this shipment passes inspection.

6 0
3 years ago
What must be true about the sides and angles of congruent triangles?
Usimov [2.4K]

Answer:

When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.

7 0
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