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3 years ago

Explain how you can use the triangle sum theorem to find the measures of the angles of an equilateral triangle

1 answer:

Rudiy273 years ago

6 0

The triangle Sum Theorem says that the sum of all the angles in a triangle has to equal 180 degrees. Since all three sides (and, consequently, angles) in an equilateral triangle are the same, you can divide 180 by 3 to find the measure of any angle of an equilateral triangle (60 degrees).

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Which of these expressions can be used to calculate the monthly payment for

skad [1K]

Answer:

m=(r/n)+0.114r

Step-by-step explanation:

m=monthly payment

r=remaining amount

n=# of months remaining

3 0

3 years ago

A= 1/1 bh solve for h

8_murik_8 [283]

$\text{Hello there!}\\\\\text{Solve for h:}\\\\A=\frac{1}{1}bh\\\\\text{Multiply both sides by 1}\\\\A=1bh\\\\\text{Divide both sides by 1b}\\\\\frac{A}{1b}=h\,\,or\,\,\frac{A}{b}=h\\\\\boxed{h=\frac{A}{b}}$

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3 years ago

A bolt falls off an airplane at an altitude of 500 m. How long will it take the bolt to reach

Rudik [331]

Answer:

t = sqrt(500/4.9) =~ 10.1 seconds/ Answer: 10.1015 seconds (this is approximate)

Step-by-step explanation:

Use 4.9t^2 + v0t = s

a) A bolt falls off an airplane at an altitude of 500 m. Approximately how long does it take the bolt to reach the ground?

s = 4.9t^2 + v0t = 500

4.9t^2 = 500

t = sqrt(500/4.9) =~ 10.1 seconds

Part A)

v = initial velocity = 0

s = 500 = vertical distance the object travels (from plane to ground)

Plug in the given values and solve for t

4.9t^2 + v*t = s

4.9t^2 + 0*t = 500

4.9t^2 + 0 = 500

4.9t^2 = 500

t^2 = 500/4.9

t^2 = 102.04081632653

t = sqrt(102.04081632653)

t = 10.101525445522

t = 10.1015

Answer: 10.1015 seconds (this is approximate)

8 0

3 years ago

Please help this hurts

Svetllana [295]

Answer:

6x - 11y = -13 is the answer.

Step-by-step explanation:

Let's plug in the points to see what sticks.

Start with (-4, -1)

1) 11x - 6y = 11(-4) - 6(-1) = -44 + 6 = -38 $\neq$ 13

2) 6x - 11y = 6(-4) - 11(-1) = -24 + 11 = -13

3) 6x - 7y = 6(-4) - 7(-1) = -24 + 7 = -17 $\neq$ 17

4) 6x - 11y = 6(-4) - 11(-1) = -24 + 11 = -13 $\neq$ 13

The only one that fits is #2. Let's try the other point to be sure.

2) 6x - 11y = 6(1.5) - 11(2) = 9 - 22 = -13

3 0

3 years ago

Need help solving for x

yawa3891 [41]

Answer:

9.2

Step-by-step explanation:

The given triangle is a right angled triangle. To solve for any of the side length of such triangle, apply the trigonometry ratio formula which can easily be remembered as SOHCAHTOA.

SOH is Sin θ = opposite/hypothenuse,

CAH is Cos θ = Adjacent/hypotenuse

TOA is Tan θ = Opposite/adjacent

Thus, in the right triangle given, we have:

θ = 38°

Opposite side to the given angle = x

Hypotenuse = 15

We're going to use, sin θ = opposite/hypotenuse

Sin(38) = x/15

Multiply both sides by 15 to solve for x

15*sin(38) = x

15*0.616 = x

9.24 = x

<em>x ≈ 9.2 (to nearest tenth)</em>

3 0

3 years ago