Henry draws an obtuse triangle how many obtuse angles does Henry's triangle have? Please eye help

1 answer:

8 0

The sum of all three angles in any triangle is always 180 degrees. So in obtuse triangle there is only one obtuse angle (more than 90 degrees). If we have for example an obtuse angle of 91 degrees, then two other angles have to fit in 89 degrees which makes it impossible for any of them to be obtuse.

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Increase £84 by 3%<br> thank you!

Alex777 [14]

If you would like to increase £84 by 3%, you can calculate this using the following steps:

3% * £84 = 3/100 * 84 = £2.52

£84 + £2.52 = £86.52

The correct result is £86.52.

8 0

3 years ago

Julian is using a biking app that compares his position to a simulated biker traveling Julian's target speed. When Julian is beh

zepelin [54]

Answer:

$\large \boxed{\text{11 km/h}}$

Step-by-step explanation:

1. The situation after 15 min:

(a) Distance travelled by simulated biker:

15 min =¼ h

$\text{Distance} = \dfrac{1}{4}\text{ h} \times \dfrac{\text{20 km}}{\text{1 h}} = \text{5 km}$

(b) Distance travelled by Julian

Julian is 2¼ km behind the biker. The distance he has travelled is (5 - 2¼) km

5 - 2¼ = 5 - ⁹/₄ = ²⁰/₄ - ⁹/₄ = ¹¹/₄ = 2¾

Julian has travelled 2¾ km in ¼ h.

2. Julian's average speed

$\text{Speed} = \dfrac{\text{Distance}}{\text{Time}} = \dfrac{2\frac{3}{4}\text{ km}}{\frac{1}{4}\text{ h}} =\dfrac{11}{4}\text{ km}\times \dfrac{4}{\text{1 h}} = \textbf{11 km/h}\\\\\text{Julian's average speed is $\large \boxed{\textbf{11 km/h}}$}$