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Vikki [24]
3 years ago
12

Find the lengths, if needed round to the nearest tenth

Mathematics
1 answer:
Elis [28]3 years ago
7 0

Answer:

Step-by-step explanation:

Triangle ABC is a right angle triangle that is made up of 2 right angle triangle.

To determine y, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

15² = y² + 12²

225 = y² + 144

y² = 225 - 144 = 81

y = √81 = 9

To determine z,

20² = z² + 12²

400 = z² + 144

z² = 400 - 144 = 256

z = √256 = 16

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A sector of a circle makes a 127° angle at its centre. If the arc of the sector has length 36 mm, find
Veseljchak [2.6K]

Answer:

Approximately 68.5\; \rm mm.

Step-by-step explanation:

Convert the angle of this sector to radians:

\begin{aligned}\theta &= 127^{\circ} \\ &= 127^{\circ} \times \frac{2\pi}{360^{\circ}} \\ &\approx 2.22\end{aligned}.

The formula s = r\, \theta relates the arc length s of a sector of angle \theta (in radians) to the radius r of this sector.

In this question, it is given that the arc length of this sector is s = 36\; \rm mm. It was found that \theta = 2.22 radians. Rearrange the equation s = r\, \theta to find the radius r of this sector:

\begin{aligned} r&= \frac{s}{\theta} \\ &\approx \frac{36\; \rm mm}{2.22} \\ &\approx 16.2\; \rm mm\end{aligned}.

The perimeter of this sector would be:

\begin{aligned}& 2\, r + s \\ =\; & 2 \times 16.2\; {\rm mm} + 36\; {\rm mm} \\ =\; & 68.5\; \rm mm\end{aligned}.

8 0
2 years ago
5x +20 and 9x. Solve for X
Dennis_Churaev [7]
If u were to add 5x+20=9x you’d get x=5
3 0
2 years ago
2. A triangular prism has a base area of 27 square inches and a height of 13 inches. What is the
guajiro [1.7K]

Answer:

A.)351 cubic inches

Step-by-step explanation:

The computation of the volume of the prism is shown below:

As we know that

Volume of the prism is

= Base × height

= 27 square inches × 13

= 351 cubic inches

hence, the first option is correct

And, the rest of the options are wrong

5 0
3 years ago
Which sequence of transformations could be used to map triangle MNO onto M”N”O”?
Bumek [7]

Answer:

Option D

Step-by-step explanation:

I dont really know but i think its D

3 0
2 years ago
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I will give brainlest
AfilCa [17]
1. X + 5
2.15-15
3. C= ( 3x9.95)+(2x14.98)
4.?
5. 12,000+500x ?idk
6 0
2 years ago
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