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UNO [17]
2 years ago
8

Work out the length of x

Mathematics
2 answers:
Ierofanga [76]2 years ago
6 0

Answer:

11.2 mm

Explanation:

Given a right angle triangle, In order to find the third side: Use Pythagoras Theorem: a² + b² = c²

Insert Values:

x² + 3.8² = 11.8²

x² + 14.44 = 139.24

x² = 139.24 - 14.44   (subtract)

x² = 124.8

x = √124.8              (square root)

x = 11.1714 ≈ 11.2     (rounded to 3 significant figures)

MakcuM [25]2 years ago
5 0
<h3>given:</h3>

3.8 mm

11.8 mm

<h3>to find:</h3>

the unknown "x"

<h3>solution:</h3>

we'll have to use pythagoras theorem.

unknown value is x

{c}^{2}  =  {b}^{2}  -  {a}^{2}

{x}^{2}  =  {11.8}^{2}  -  {3.8}^{2}

{x}^{2}  = 124.8

{x}^{2}  =  \sqrt{124.8}

x = 11.17139204

x = 11.2 \: mm

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Answer:

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2 years ago
Evaluate the expression. 7.2 + 6.3(5.4 – 6)
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\text{Hey there!}

\text{Evaluate the expression: 7.2 + 6.3(5.4 - 6)}

\mathsf{7.2+6.3(5.4-6)}\\\\\mathsf{5.4 -6=-0.6}\\\\\mathsf{7.2+6.3(-0.6)}\\\\\mathsf{6.3(-0.6)=-3.78}\\\\\mathsf{7.2 - 3.78= \underline{3.42}}\\\\\boxed{\boxed{\mathsf{Answer:3.42}}}\checkmark

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7 0
3 years ago
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What are the coordinates of the point on the directed line segment from (-6, -6)(−6,−6) to (9, -1)(9,−1) that partitions the seg
GrogVix [38]

Answer:

(0, -4)

Step-by-step explanation:

The coordinates of the points from which the directed line segment extends = (-6, -6) to (9, -1)

The ratio the required point partitions the line = 2 to 3

The formula for finding the coordinate of a point that partitions a line AB into a ratio 'a' to 'b', where the coordinates of, A = (x₁, y₁) and B = (x₂, y₂) is given as follows;

\left(\dfrac{a}{a + b} \times (x_1 - x_2)+ x_1, \ \dfrac{a}{a + b} \times (y_1 - y_2)+ y_1 \right)

Therefore, the required point is located as follows;

\left(\dfrac{2}{2 + 3} \times (9 - (-6))+ (-6), \ \dfrac{2}{2 + 3}\times (-1 - (-6))+ (-6) \right) = (0, -4)

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6 0
3 years ago
A ride on the roller coaster costs 4 tickets while the boat ride only costs 3 tickets. Michael went on the two rides a total of
True [87]
Let x = roller coaster ticket
let y = boat ride ticket

x + y = 10
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x = 10 - y
4x + 3y = 37
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6 0
3 years ago
If you multiply a number by 3 and divide by 4 the result is 24. what is the number?
solong [7]
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Finally, we need to divide both sides by 3, to get rid of the coefficient that is being multiplied to x.

x = 32

Therefore, the number that you are trying to find is 32.
4 0
3 years ago
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