If the ratio of three angles of a triangle is 2:3:4 find the size of the largest angle

1 answer:

3 0

Answer: 80°

Step-by-Step Explanation:

By Angle Sum Property of a Triangle, all angles in a Triangle add up to 180°

Finding the Value of ‘x’ :-

2x + 3x + 4x = 180
5x + 4x = 180
9x = 180
x = 180/9
=> x = 20

Finding each Angle :-

2x = 2(20) = 2 * 20 = 40°
3x = 3(20) = 3 * 20 = 60°
4x = 4(20) = 4 * 20 = 80°

Hence, the Largest Angle is 80°

You might be interested in

Which expressions are solutions to the equation 3/4 x = 15?

algol [13]

I think so C is correct
Because is true.

7 0

3 years ago

Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 2. check your answer by noting that the curve is

professor190 [17]

Ok, here we go. Pay attention. The formula for the arc length is $AL= \int\limits^b_a { \sqrt{1+( \frac{dy}{dx})^2 } } \, dx$ . That means that to use that formula we have to find the derivative of the function and square it. Our function is y = 4x-5, so y'=4. Our formula now, filled in accordingly, is $AL= \int\limits^2_1 { \sqrt{1+4^2} } \, dx$ (that 1 is supposed to be negative; not sure if it is til I post the final answer). After the simplification we have the integral from -1 to 2 of $\sqrt{17}$ . Integrating that we have $AL= \sqrt{17}x$ from -1 to 2. $2 \sqrt{17}-(-1 \sqrt{17} )$ gives us $3 \sqrt{17}$ . Now we need to do the distance formula with this. But we need 2 coordinates for that. Our bounds are x=-1 and x=2. We will fill those x values in to the function and solve for y. When x = -1, y=4(-1)-5 and y = -9. So the point is (-1, -9). Doing the same with x = 2, y=4(2)-5 and y = 3. So the point is (2, 3). Use those in the distance formula accordingly: $d= \sqrt{(2-(-1))^2+(3-(-9))^2}$ which simplifies to $d= \sqrt{9+144}= \sqrt{153}$ . The square root of 153 can be simplified into the square root of 9*17. Pulling out the perfect square of 9 as a 3 leaves us with $3 \sqrt{17}$ . And there you go!

5 0

2 years ago

Convert the angle 1.5 radians to degrees, rounding to the nearest 10th.

Keith_Richards [23]

Answer:

85.9 (to the nearest hundredth)

Step-by-step explanation:

1 radian = 180°/ $\pi$

Therefore, 1.5 radians = 1.5 x (180°/ $\pi$ ) = 270/ $\pi$ = 85.9 (to the nearest hundredth)

8 0

2 years ago

Read 2 more answers

Function : y=4 sin(3x)-2

STatiana [176]

So the 4 represents the amplitude of the function. We can also see that because it is a positive number, the graph is even. ⁽⁽The number before the graph type (Sin or Cos) always represents the amplitude. The amplitude is how many units the graph travels up and down from the midline.
The -2 is the midline. This means that the midline is at -2 on the Y-axis. To find the max and min, you then add the amplitude to find the maximum, and subtract to find the minimum. [-6. 2]
To find the period, you divide 2π by the term in front of x. In this case, it's 3, so we do 2π/3. This cannot be simplified further, but in degrees this equals 120°. This means that, with the question asking for 2 full cycles, that the graph will go through 2 full cycles in 240°

Hope this helps, sorry i couldn't sketch the graph for you

4 0

3 years ago

7/19 en numero decimal

Nataly [62]

Answer: 0.368421053

Step-by-step explanation: 19/7=0.368412053 :-)

5 0

3 years ago

If the ratio of three angles of a triangle is 2:3:4 find the size of the largest angle​

If the ratio of three angles of a triangle is 2:3:4 find the size of the largest angle