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aivan3 [116]
2 years ago
6

The triangles are similar.

Mathematics
1 answer:
son4ous [18]2 years ago
3 0

Answer:

x = 21

Step-by-step explanation:

Using ratios:

75 : 25 = x : 7

75/25 = x/7

3 = x/7

21 = x

Using Pythagoras' Theorem a² + b² = c², where a and b are the legs and c is the hypotenuse of a right triangle:

72^2+x^2=75^2

\implies x^2=75^2-72^2

\implies x=\sqrt{75^2-72^2}

\implies x=21

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A school is trying to schedule Prayers of chemistry and algebra two. They find that a total of 386,000 are taking either one or
Gre4nikov [31]

Answer: 32%

Step-by-step explanation:

The total number of students that signed up for chemistry and algebra

two is 386.

Let x represent the number of students that signed up for both chemistry and algebra two

If 209 students signed up for algebra two, then the number of students that signed up for algebra two only is

209 - x

If 300 need to have signed up for chemistry, then the number of students that need to have signed up for chemistry only is 300 - x

Therefore,

x + 209 - x + 300 - x = 386

- x + 509 = 386

x = 509 - 386

x = 123

If 123 students would be signed up for both courses, then the probability that a student chosen at random from the 386 will be signed up for both of the courses is

123/386 × 100 = 32%

7 0
3 years ago
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Step-by-step explanation:

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6 0
3 years ago
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RUDIKE [14]
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2 years ago
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The third term of the sequence is 120. The fifth term is 76.8 The explicit rule for the geometric sequence is an=?(?)n-1
gulaghasi [49]

Answer:

The explicit rule of the geometric sequence

 aₙ   = 187.5 (0.8)ⁿ⁻¹

Step-by-step explanation:

<u><em> Step(i):-</em></u>

Given that the third term of the sequence = 120

        tₙ = a rⁿ⁻¹  

       t₃  = a r³⁻¹ = ar²

        120 = ar² ..(i)

Given that the fifth term of the given geometric sequence = 76.8

        tₙ = a rⁿ⁻¹  

       t₅  = a r⁵⁻¹ = a r⁴

   76.8  = a r⁴...(ii)

<u><em>Step(ii):</em></u>-

 Dividing (ii) and (i)

         \frac{ar^{4} }{ar^{2} } = \frac{76.8}{120}

        r²   = 0.64

       r    =√ 0.64 = 0.8

Substitute r= 0.8 in equation (i)

         120 = ar²

       120 = a(0.8)²

⇒      a = \frac{120}{0.64} =187.5

<u><em>Step(iii):-</em></u>

The explicit rule of the geometric sequence

                 aₙ  = a rⁿ⁻¹

put a= 187.5  and r = 0.8

                aₙ   = 187.5 (0.8)ⁿ⁻¹

 

7 0
2 years ago
Factor 70q+60. Write your answer as a product with a whole number greater than 1.
faltersainse [42]

Answer:

10(7q + 6)

Step-by-step explanation:

  1. Find the GCF of 70 and 60: 10
  2. Divide each number by 10 (steps shown below)
  3. 70q ÷ 10 = 7q
  4. 60 ÷ 10 = 6
  5. Re-write the expression with 10: 10(7q + 6)

I hope this helps!

7 0
3 years ago
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