5(-1x+5)=10 pls help

Mathematics

2 answers:

Leya [2.2K]2 years ago

7 0

Answer:

-5x+5=10

-5x=10-5

-5x=5

x=-5/5

x=-1

Lorico [155]2 years ago

5 0

Answer: x = 3

Step by step

5 ( –1x + 5) = 10

(1) Distribute

= – 5x + 25 = 10

(2) Subtract 25 from both sides of the equation

= –5x + 25 -25 = 10 – 25

(3) Simplify

= –5x = – 15

(4) Divide both sides of the equation by the same factor

= –5x/–5 = –15/ –5

(5) Divide the number

= x = –15/–5

Answer: x = 3

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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: