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harina [27]
3 years ago
13

Triangle DEF is similar to triangle GHK. What is the value of DF if GK is 3.4 inches, EF is 2.25 inches, and HK is 9 inches?

Mathematics
1 answer:
kap26 [50]3 years ago
4 0
DF=3.4 because it's congruent to GK
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A GP has 8 terms, it's first and last terms are 0.3 and 38.4/, calculate the common ratio
gladu [14]

Answer: The right  answer is 2

Step-by-step explanation:

  1. Write out the expression

T1; a = 0.3 ------------ (I)

T8; ar^7 = 38.4 ------------ (ii)

Substituting for 'a' in the second equation, we have;

0.3r^7 = 38.4

0.3r^7 = 38.4

Divide both sides by 0.3

r^7 = 38.4/0.3

r^7 = 128

r = (128)^1/7

r = 2

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3 years ago
Solve the graph fjsdjshfdkjfd
Nostrana [21]

Answer:

y=-2x+3

Step-by-step explanation:

Comment if you need steps.

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2 years ago
Find the solution of the system of equations. 3x+3y= 3x+3y= \,\,42 42 x-3y= x−3y= \,\,-22 −22
oee [108]

Answer:

x = 5 y = 9

Step-by-step explanation:

3 0
2 years ago
A rectangular block has square base of area 64 cm². If the thickness of the block is 5 cm, find its total surface area. ​
Andrej [43]

Answer:

total surface area of cube is <u>6 * area of one side</u>

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4 0
2 years ago
Read 2 more answers
An electronic product contains 48 integrated circuits. The probability that any integrated circuit is defective is 0.01, and the
BigorU [14]

Answer:

0.6173 = 61.73% probability that the product operates.

Step-by-step explanation:

For each integrated circuit, there are only two possible outcomes. Either they are defective, or they are not. The integrated circuits are independent. This means that we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which 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)!}

And p is the probability of X happening.

An electronic product contains 48 integrated circuits.

This means that n = 48

The probability that any integrated circuit is defective is 0.01.

This means that p = 0.01

The product operates only if there are no defective integrated circuits. What is the probability that the product operates?

This is P(X = 0). So

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{48,0}.(0.01)^{0}.(0.99)^{48} = 0.6173

0.6173 = 61.73% probability that the product operates.

5 0
3 years ago
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