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2 years ago

When solving a word problem, what step should you always do after reading the problem, but prior to writing the equation?

Mathematics

1 answer:

kirza4 [7]2 years ago

4 0

Be sure to understand to understand it. And write out the given parameters from the question.

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Plz help with question

serious [3.7K]

Less than 90° = acute

more than 90° = obtuse

equal to 180° = straight

more than 360° = reflex

6 0

2 years ago

Find the area of following rhombuses. Round your answers to the nearest tenth if necessary.

polet [3.4K]

Answer:

$Area =55.4ft^2$

Step-by-step explanation:

Given

The attached rhombus

Required

The area

First, calculate the length of half the vertical diagonal (x).

Length x is represented as the adjacent to 60 degrees

So, we have:

$\tan(60) = \frac{4\sqrt 3}{x}$

Solve for x

$x = \frac{4\sqrt 3}{\tan(60)}$

$\tan(60) = \sqrt 3$

So:

$x = \frac{4\sqrt 3}{\sqrt 3}$

$x = 4$

At this point, we have established that the rhombus is made up 4 triangles of the following dimensions

$Base = 4\sqrt 3$

$Height = 4$

So, the area of the rhombus is 4 times the area of 1 triangle

$Area = 4 * \frac{1}{2} * Base * Height$

$Area = 4 * \frac{1}{2} * 4\sqrt 3 * 4$

$Area =2 * 4\sqrt 3 * 4$

$Area =55.4ft^2$

7 0

3 years ago

If sin θ = 1/2 , then find the value of (sin 3 θ)/(1+ cos 2 θ)

Ipatiy [6.2K]

EXPLANATION:

Given that

sin θ = 1/2

We know that

sin 3θ = 3 sin θ - 4 sin³ θ

⇛sin 3θ = 3(1/2)-4(1/2)³

⇛sin 3θ = (3/2)-4(1/8)

⇛sin 3θ = (3/2)-(4/8)

⇛sin 3θ = (3/2)-(1/2)

⇛sin 3θ = (3-1)/2

⇛sin 3θ = 2/2

⇛sin 3θ = 1

and

cos 2θ = cos² θ - sin² θ

⇛cos 2θ = 1 - sin² θ - sin² θ

⇛cos 2θ = 1 - 2 sin² θ

Now,

cos 2θ = 1-2(1/2)²

⇛cos 2θ = 1-2(1/4)

⇛cos 2θ = 1-(2/4)

⇛cos 2θ = 1-(1/2)

⇛cos 2θ = (2-1)/2

⇛cos 2θ = 1/2

Now,

The value of sin 3θ /(1+cos 2θ

⇛1/{1+(1/2)}

⇛1/{(2+1)/2}

⇛1/(3/2)

⇛1×(2/3)

⇛(1×2)/3

⇛2/3

Answer : Hence, the req value of sin 3θ /(1+cos 2θ) is 2/3.

also read similar questions: If sin Θ = 2/3 and tan Θ < 0, what is the value of cos Θ?

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if cos θ -sin θ =1, find θ cos θ +sin θ?

brainly.com/question/88125?referrer

7 0

2 years ago

I don't understand plz help

Rasek [7]

Answer:

The equation that represent x, the height of the sign is;

$2a = 3x$

Step-by-step explanation:

Given that the area of the triangular yield is A square feet

and it has a base length of 3 feet.

also the height is represented by x;

$b = 3ft \\ h = x$

Recall that the area of a triangle can be written as;

$a = \frac{1}{2} bh$

substituting the given;

$a = \frac{1}{2} \times 3 \times x \\ a = \frac{3}{2} x \\ 2a = 3x$

Therefore, the equation that represent x, the height of the sign is;

$2a = 3x$

8 0

2 years ago

Read 2 more answers

Please show your work for brainliest!!

Digiron [165]

Answer:

About 11.299 hours.

Step-by-step explanation:

To solve this problem, you can set up an equation to model the decay of the medicine. Let's call the time that medicine has been in the body x.

$(1-0.0595)^x=0.5$

$0.9405^x=0.5$

Taking the log x of both sides, you get

$x=\log_{0.9405} 0.5$

$x\approx 11.299$ hours. Hope this helps!

5 0

3 years ago