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ch4aika [34]
3 years ago
9

The interior angles of a triangle are 60,45and 75.the shortest side is 10cm less than the longest side, determine the perimeter

of the triangle to the nearest cm.include a diagram please and thank you!!
Mathematics
1 answer:
masha68 [24]3 years ago
7 0

Answer:

<h2>20 cm.</h2>

Step-by-step explanation:

We know that the permiter is defined as

P=L+S+M

Where L is the longest side, S is the smallest and M is the middle side.

If L=x then, S=x-20, where we need to find an expression for M using the law of cosines.

M^{2} =L^{2}+S^{2}-2 \times L \times S \times cos(60\°)\\M=\sqrt{x^{2}+(x-20)^{2}-x(x-20)}\\M=\sqrt{x^{2} +x^{2}-40x+400-x^{2}+20x}=\sqrt{x^{2}-20x+400}

Replacing all expression, the perimeter is

P=x+x-20+\sqrt{x^{2}-20x+400}\\P=2x-20+\sqrt{x^{2}-20x+400}

Using a calculator, the perimeter is 20 units centimeters.

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Murrr4er [49]
1 solution. it can't be 2, and if you solve it, there is a solution, x stays in the equation, so there's 1 solution
5 0
3 years ago
Help help help answer
Mars2501 [29]

Answer:

(2,3,4,5)

Step-by-step explanation:

The domain are all real number at x-axis

So the answer is option b (2,3,4,5)

3 0
3 years ago
What is the x intercept of y + 4 =− 4(x − 1)
vivado [14]

Answer:

0

Step-by-step explanation:

since the "b" in y=mx+b ends up being 0, that means that the y intercept is 0, which also means that the x intercept is 0.

7 0
2 years ago
Help me pls UoU Uwu<br> \djjn
Nataly [62]

Answer:

y = 4x + 14

Step-by-step explanation:

slope-intercept form: y = mx + b

Slope formula: \frac{y2-y1}{x2-x1}

To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.

To find the slope, take two points from the table(in this example I'll use points (0, 14) and (1, 18)) and input them into the slope formula:

\frac{18-14}{1-0}

Simplify:

18 - 14 = 4

1 - 0 = 1

\frac{4}{1}=4

The slope is 4.

To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:

y = mx + b

18 = 4(1) + b

18 = 4 + b

14 = b

The y-intercept is 14.

Now that we know the slope and the y-intercept, we can write the equation:

y = 4x + 14

3 0
3 years ago
I don’t know how to answer this?
dalvyx [7]
Answer: a bigger or equal to 20

Explanation:

2a/5 - 2 _> a/4 + 1

8a/20 - 40/20 _> 5a/20 + 20/20

8a - 40 _> 5a + 20

3a _> 60

a _> 20
3 0
3 years ago
Read 2 more answers
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