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3 years ago

The angles in a triangle are in the ratio 1:2:3. Show that the triangle is a right - angled triangle.

Mathematics

1 answer:

Alja [10]3 years ago

4 0

Answer:

Angles in a triangles add up to 180°

Respectively 1 : 2 : 3 is going to be 1 x , 2 x and 3 x so,

1 x + 2 x + 3 x = 180°

⇒ Simplify

6 x = 180°

⇒ Divide by 6 on both sides to isolate x

x = 30°

Since the ratio was 1 x : 2 x : 3 x and x is 30°,

30 : 60 : 90

And since there is a 90° angle, it is a right - angled triangle

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Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning.

andrey2020 [161]

Answer:

Hey! The answer is 25,4 centimeters.

Step-by-step explanation:

In a linear function you can use y=mx+n

So if x = hours and y= height.

You know that

$\left \{ {{27,8=11m +n} \atop {24,8=26m +n}} \right.$

So:

If you multiply (24,8=26m +n) x-1

It is: -24,8 = -26m -n

Adding up the other equation

-24,8 = -26m -n

27,8 = 11 x 0,2 + n

27,8 = -2,2 + n

30 = n

This results that te linear function for this equation is:

y = -0,2x + 30

The answer is

y=23(-0,2) + 30

y=-4,6+30

y=25,4

8 0

3 years ago

Please fast answers.

serg [7]

Answer:

Step-by-step explanation:

The vertex of the angle is on the lighthouse and one ray/angle is on the boat.

4 0

2 years ago

What is 5.95 × 106 written in standard form? A. 595,000 B. 59,500 C. 5950 D. 5,950,000

tiny-mole [99]

The answer is option D "<span>5,950,000".

</span> $5.95 * 10^6 = 

5 9 5 0 0 0 0/
1 2 3 4 5 6$

Which would equal 5,950,000.

Hope this helps!

7 0

3 years ago

Reuben has been saving $6 each week. Today he spent $90 of the savings, and he now has $48 left. For how many weeks has he been

tresset_1 [31]

Answer:

23 weeks

Step-by-step (x = weeks)

90 + 48 = 138

divide 138 by 6 to find out how many weeks he'd been saving up .

that gives you 23 but to turn it into an equation

6x - 90 = 48

+ 90 +90

6x = 138

_ _

6 6

x = 23 again x meaning weeks

5 0

3 years ago

5x+5y=-30 find the x and y intercept

Masja [62]

<em>The x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.</em>

<h2 /><h2>Explanation:</h2>

The Standard Form of the equation of a line is given by:

$Ax+By=C \\ \\ A,B,C \ Real \ Constants \ and \ A>0$

So:

$5x+5y=-30$

is written in Standard Form. The x and y intercepts are:

$x-intercept: \ (x,0) \\ \\ y-intercept: \ (0,y)$

So:

FOR X-INTERCEPT:

$Let's \ set: \\ y=0 \\ \\ 5x+5(0)=-30 \\ \\ Isolating \ x: \\ \\ 5x=-30 \\ \\ x=-\frac{30}{5} \\ \\ \boxed{x=-6}$

FOR Y-INTERCEPT:

$Let's \ set: \\ x=0 \\ \\ 5(0)+5y=-30 \\ \\ Isolating \ x: \\ \\ 5y=-30 \\ \\ y=-\frac{30}{5} \\ \\ \boxed{y=-6}$

Finally,<em> the x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.</em>

<h2>Learn more:</h2>

Parallel lines: brainly.com/question/12169569

#LearnWithBrainly

6 0

3 years ago