All categories

3 years ago

Correct answers only please!

Mathematics

1 answer:

Semmy [17]3 years ago

5 0

Answer:

62.7°

Step-by-step explanation:

9 = Hypotenuse

8 = Opposite

In this question we have to use some trigonometry to work out angle EFG. The first thing we need to identify is will formula will we use out of the following:

Sin⁻¹ = Opposite ÷ Hypotenuse

Tan⁻¹ = Opposite ÷ Adjacent

Cos⁻¹ = Adjacent ÷ Hypotenuse

We know which formula to use because the length won't be in the triangle for example we will be using the Sin triangle because we don't have an adjacent. If we don't have an adjacent then the other formula's won't work.

Now we substitute in the values

Sin⁻¹ = Opposite ÷ Hypotenuse

Sin⁻¹ = 8 ÷ 9

The value of angle EFG is 62.73395555

You might be interested in

Avi uses 11 toothpicks to form a row of 5 attached triangles, as shown. Suppose he continues this pattern, using 89 toothpicks i

Pavel [41]

Answer:

Step-by-step explanation:

Given that Avi used 11 toothpicks to form a row of 5 attached triangles.

Total number of toothpicks used = 89

Let the total number of triangles formed be represented by x, so that:

11 toothpicks = 5 triangles

It would be observed that only the first triangle starting the pattern has 3 toothpicks. So that;

the average number of toothpicks for 1 triangle = $\frac{11}{5}$

= 2.2

The number of toothpicks per triangle = 2.0

Thus,

x = $\frac{89}{2.0}$

= 44.5

x = 44

The total number of triangles formed is 44.

8 0

3 years ago

A submarine dives 280 feet below the water surface. It then rises back up to wards the surface at 55 feet per minute for 5 minut

Lapatulllka [165]

The submarine is 5 feet below the water surface.
-280+55(5)=-5

8 0

3 years ago

X^2 + 32x + 256 = 1<br>please show steps

Elena L [17]

$\boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}$

<h2>Explanation:</h2>

In this case, we have the following equation:

$x^2+32x+256=1$

But we can write this equation as:

$x^2+32x+256=1 \\ \\ Subtract \ -1 \ from\ both \ sides: \\ \\ x^2+32x+256-1=1-1 \\ \\ x^2+32x+255=0$

So this final result is a quadratic equation written in Standard Form ( $ax^2+bx+c=0$ ). We need to find the solutions to this equations, so let's use quadratic formula:

$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ b=32 \\ c=255 \\ \\ \\ x=\frac{-32 \pm \sqrt{(32)^2-4(1)(255)}}{2(1)} \\ \\ x=\frac{-32 \pm \sqrt{1024-1020}}{2} \\ \\ x=\frac{-32 \pm \sqrt{4}}{2} \\ \\ x=\frac{-32 \pm 2}{2} \\ \\ Finally, \ two \ solutions: \\ \\ \boxed{x_{1}=-15} \\ \\ \boxed{x_{2}=-17}$

<h2>Learn more:</h2>

Quadratic Equations: brainly.com/question/10278062

#LearnWithBrainly

3 0

3 years ago

This is worth 20 points if you don't believe me look down below

Ugo [173]

0.5,2/3,-3/4,1.2,2.3

7 0

3 years ago

Read 2 more answers

A triangle has sides measuring 7 centimeters and 13 centimeters that form an angle measuring 44°. Which of these is CLOSEST to t

Oliga [24]

Answer:

9.3 centimeters

Step-by-step explanation:

If the length of the third side of the triangle is c, then according to the Law of Cosines, c2 = 72 + 132 – 2(7)(13)(cos 44°). The value of c2 can be simplified to approximately 49 + 169 – 130.9198, or 87.0802, using a calculator. By taking the square root of 87.0802, the length of the third side of the triangle comes out to be approximately 9.3 centimeters.

8 0

3 years ago