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astra-53 [7]
2 years ago
9

What is the area of triangle DEF

Mathematics
1 answer:
kolezko [41]2 years ago
3 0

Answer:

76.5 cm²

Step-by-step explanation:

Given the triangles are similar , then

ratio of sides = a : b , so

ratio of areas = a² : b²

Here ratio of sides = 9 : 13.5 = 2 : 3

ratio of areas = 2² : 3² = 4 : 9

let x be the area of Δ DEF and using proportion

\frac{4}{34} = \frac{9}{x} ( cross- multiply )

4x = 306 ( divide both sides by 4 )

x = 76.5

The area of Δ DEF = 76.5 cm²

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How many significant numbers in 34.6209
JulijaS [17]

Answer:

6

Step-by-step explanation:

5 0
2 years ago
You are going shopping and you plan to buy 3 new pairs of pants, 2 new shirts, and a pair of boots.
tigry1 [53]
3p + 2s + b...when p = 39.99 and s = 17.89 and b = 49

3(39.99) + 2(17.89) + 49 = 204.75 <==
4 0
3 years ago
Write 8 is the whole number 11 is the <br>numerator and 20 is the denominator ​
PilotLPTM [1.2K]

Answer:

Fraction: 8 \frac{11}{20}

Decimal: 8.55

Step-by-step explanation:

8 11/20 is the answer because:

1) Since 8 is the whole number, 8 wouldn't be part of the fraction

2) The numerator is the top number in the fraction, so 11 is at the top since 11 is the numerator

3) The denominator is the bottom number in the fraction, so 20 is at the top since 20 is the denominator

8.55 is the answer because:

1) Since 8 is the whole number, 8 would be in front of the decimal point

2) When you multiply the fractions, you have to multiply until you get a hundred. Therefore, 20*5 = 100 and 11*5 = 55

Hope this helps!

7 0
2 years ago
in a final exam you have four multliple choice questions left to do. each questions has five suggested answers and only one of t
kompoz [17]

Answer:

The probability that you get zero questions correct is 0.4096

The probability that you get one questions correct is 0.4096

The probability that you get three questions correct is 0.0256

Step-by-step explanation:

These probability can be describe with a Binomial Distribution. These distribution can be used when we have n identical and independent situations in which there is a probability p or probability of success and a probability q or probability of fail. Additionally q is equal to 1 - p. The probability of x for a situation in which we can apply binomial distribution is:

P( x,n,p) = n Cx * p^{x } * q^ {n-x}

Where x is the variable that says the number of success in the n situations

And nCx is calculate as:

nC x = \frac{ n!}{ x! (n-x)! }

From the question we can identify that:

  • n is equal to 4 multiple choice question
  • p is 1/5 or 0.2, the probability of get one question correct
  • q is 4/5 or 0.8, the probability of get one question incorrect

Then the probability of get zero questions correct of 4 questions is:

P( 0, 4, 0.2) = 4 C0 * p^{0 } * q^ {4-0}= 0.4096

The probability of get one question correct of 4 questions is:

P( 1, 4, 0.2) = 4 C1 * p^{1 } * q^ {4-1}= 0.4096

The probability of get three questions correct of 4 questions is:

P( 3, 4, 0.2) = 4 C3 * p^{3 } * q^ {4-3}= 0.0256

8 0
3 years ago
Line GJ is tangent to point A at point G.<br><br> If AG = 9 and GJ = 12, find AJ.
kompoz [17]
GJ is a tangent
АG is a radius
A tangent line to a circle is perpendicular to the radius drawn to the tangent point   ⇒ m∠АGJ = 90°  ⇒ ΔАGJ is the right triangle.

<span>By the Pythagorean theorem:
</span>AJ² = АG² + GJ²
AJ² = 9² + 12² = 81 + 144 = 225
AJ = √225 = 15 units.
4 0
3 years ago
Read 2 more answers
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