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dexar [7]
3 years ago
9

I need step by step explanation for this!

Mathematics
2 answers:
damaskus [11]3 years ago
5 0

Answer:

61

Step-by-step explanation:

  1. 13 - 1 = 12
  2. 12 ÷ 2 = 6
  3. Put 6 and 1 together: 61

Therefore, the number is 61

Let's check:

  1. 6 × 2 = 12
  2. 12 + 1 = 13

The sum of the two digits is 13, and we got that, so we are correct. The number is 61.

Mkey [24]3 years ago
5 0

Answer:

49

Step-by-step explanation:

let unit digit=x

ten's digit=y

then x+y=13

x=13-y

also x=2y+1

13-y=2y+1

13-1=2y+y

3y=12

y=12/3=4

x=13-4=9

so number =10×4+9=49

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3 years ago
A certain scale has an uncertainty of 4 g and a bias of 2 g. A single measurement is made on this scale. What are the bias and u
Fed [463]

Answer: 0.8

Step-by-step explanation:

given data:

uncertainity = 4g

bias = 2g

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6 0
4 years ago
Find the measure of each missing angle
Liula [17]

Answer:

<em>See below;</em>

Step-by-step explanation:

Consider the steps below;

1. Measure of Angle 1 - m< 1 + m< 2 = 180, ( Considering They Form A Linear Pair )  m< 1 + ( 145 ) = 180,\\m< 1 = 35 degrees\\\\2. Measure of Angle 2 - m< 2 = m< 4, ( Considering They Are Vertical Angles ),\\m< 2 = 145 degrees\\\\3. Measure of Angle 3 - m< 3 = m< 1, ( Vertical Angles ),\\m< 3 = 35 degrees\\\\4. By Alternate Interior Angles Theorem - m< 5 = m< 3,\\m< 5 = 35 degrees\\\\5. By Vertical Angles Theorem - m< 6 = m< 4,\\m< 6 = 145 degree\\\\

\\\\\\6. By Corresponding Angles Theorem - m< 7 = m< 3,\\m< 7 = 35 degrees,\\\\7.  By Corresponding Angles Theorem - m< 8 = m< 4,\\m< 8 = 145 degrees

<em>Thus, we derive such a solution;</em>

<em>m∠ 1 = 35°, m∠ 2 = 145°, m∠ 3 = 35° , m∠ 5 = 35° , m∠ 6 = 145° , m∠ 7 = 35° , m∠ 8 = 145</em>°

4 0
3 years ago
How do I use the cosine rule for these problems?
Elenna [48]

Answer:

see explanation

Step-by-step explanation:

Using the Cosine rule

a² = b² + c² - 2abcosA ← Rearranging for cosA gives

cosA = \frac{b^2+c^2-a^2}{2ab}

(a)

let a = 10, b = 7, c = 8 and A = α, then

cosα = \frac{7^2+8^2-10^2}{2(7)(8)} = \frac{49+64-100}{112} = \frac{13}{112}, thus

α = cos^{-1}( \frac{13}{112} ) ≈ 83° ( to the nearest degree )

(b)

let the angle opposite side 7 be x

Using the Sine rule

\frac{10}{sin83} = \frac{7}{sinx} ( cross- multiply )

10sinx = 7sin83 ( divide both sides by 10 )

sinx = \frac{7sin83}{10} , thus

x = sin^{-1} ( \frac{7sin83}{10} ) = 44°

The third angle can be found using the sum of angles in a triangle

third angle = 180° - (83 + 44)° = 180° - 127° = 53°

The 3 angles are 83°, 44°, 53°

6 0
3 years ago
To see how costly it would be for other people to complete a similar cycling tour, you decide to work out two averages and compa
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The answers are 2,450 and 2,380
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4 years ago
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