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yanalaym [24]
4 years ago
5

What is the answer please

Mathematics
1 answer:
Sunny_sXe [5.5K]4 years ago
6 0

Answer:

12.9 cm ( nearest tenth )

Step-by-step explanation:

sin 40° = \frac{b}{20} ( multiply both sides by 20 )

20 × sin 40° = b, hence

b = AC = 20 × sin 40° = 12.9


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Enter the explicit rule for the sequence
Softa [21]
Let's take a look at the first few numbers in the sequence based on the given rule:

a_{1}=6\\ a_{2}= \frac{1}{4}(6)\\ a_3= \frac{1}{4}\big( \frac{1}{4}\big)6= \big(\frac{1}{4}\big)^2(6)\\ a_{4}= \frac{1}{4} \big(\frac{1}{4}\big)^26= \big(\frac{1}{4}\big)^3(6)

Inspecting this pattern it seems like the power \frac{1}{4} is being raised to is always one less than the number of the sequence, so if we were on the nth number in the sequence, that part of the expression would be \big(\frac{1}{4} \big)^{n-1}. We also know that we'll be multiplying whatever we get from that by 6, so we can write the full explicit rule for our sequence as

a_n=6\big( \frac{1}{4} \big)^{n-1}

Where a_n is the nth number in our sequence.
8 0
4 years ago
Find x and the measure of each side. Round to two decimal places, if necessary.
natta225 [31]

The values of the triangles are as follows:

  • x = 7 units
  • GH = 21 units
  • HI = 21 units
  • GI = 12 units

<h3>How to find angles and side of a triangle?</h3>

The triangle is an isosceles triangle because two sides and angles are equal. Therefore,

4x - 7 = 2x + 7

4x - 2x = 7 + 7

2x = 14

x = 14 / 2

x = 7 units

GH = 4(7) - 7 = 28 - 7 = 21

HI = 2(7) + 7 = 14 + 7 = 21

GI = 7 + 5 = 12

learn more on triangle here: brainly.com/question/21279088

#SPJ1

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2 years ago
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aleksandrvk [35]
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3 years ago
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3 years ago
5. Write an equivalent expression to 1/4 (24x + 7 – 12x).
lapo4ka [179]

Answer:

Step-by-step explanation:

The easiest and most proper way to approach this task is to combine like terms inside parentheses:  (24x + 7 – 12x) => (12x + 7).

Then (1/4)(24x + 7 – 12x) = (1/4)(12x + 7).  This is an acceptable answer.  There is the option of carrying out the multiplication, which results in

3x + 7/4, which is another acceptable answer.

6 0
3 years ago
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