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3 years ago

Please solve the right triangle below. Round the decimals to the nearest tenth.

Mathematics

1 answer:

aniked [119]3 years ago

7 0

Find $AB$ using Pythagorean Theorem,

$AB=\sqrt{12^2+9^2}=15$ .

$A=\tan^{-1}(12/9)=53.1^{\circ}$ .

$B=\tan^{-1}(9/12)=36.9^{\circ}$ .

Hope this helps.

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An airplane takes off from an airport. When the

Ivanshal [37]

The angle of elevation is = 70° and the distance the airplane travelled in the air is = 17,557ft

<h3>Calculation of the distance travelled</h3>

To calculate the angle of elevation of the airplane

tan x° = opposite/adjacent

where opposite = 16,500 feet

adjacent = 6,000 ft

tan x° = 16,500 / 6,000

tan x° = 2.75

X = arctan ( 2.75)

X = 70°

To calculate the distance the airplane travelled in the air Pythagorean Theorem is used.

C² = a² + b²

C² = 16,500² + 6,000²

C² = 272250000 + 36000000

C² = 308250000

C= √308250000

C= 17,557ft

Learn more about Pythagorean Theorem here:

brainly.com/question/343682

#SPJ1

3 0

2 years ago

Help due soon plss!!!!

Gelneren [198K]

Answer:

Cube=150cm^2

Triangular Prism=228ft^2

Step-by-step explanation:

Cube

$A=6a^2=6*5^2=150cm^2$

Triangular prism

Using these formulas

$A=2A_{B}+(a+b+c)h\\A_{B} =\sqrt{s(s*a)(s*b)(s*c)} \\s=\frac{a+b+c}{2}$

Solving for A

$A=ah+bh+ch+\frac{1}{2} \sqrt{-a^4+2(ab)^2+2(ac)^2-b^4+2(bc)^2-c^4} \\=6.5*11+5*11+6.5*11+\frac{1}{2} *\sqrt{-6.5^4+2*(6.5*5)^2+2*(6.5*6.5)^2-5^4+2*(5*6.5)^2-6.5^4} \\=228ft^2$

5 0

3 years ago

2 angles are supplementary. The measure of one angle is one-third of the other. Find the measure of BOTH angles.

morpeh [17]

Answer:

45° and 135°

Step-by-step explanation:

let one angle be "x" and the other be "y"

Angles which are supplementary total to 180°. This can be represented with the equation:

x + y = 180

If angle "x" is a third of angle "y", the situation is represented with this equation:

(1/3)x = y

Since fractions are difficult to work with, multiply the whole equation by 3.

(1/3)x = y <= X 3

x = 3y

Use the equations x+y=180 and x=3y.

You can substitute x=3y into x+y=180.

x + y = 180

(3y) + y = 180 <=combine like terms

4y = 180 <=isolate y by dividing both sides by 4

y = 45

Substitute y=45 itno the equation x+y=180 to find x.

x + y = 180

x + 45 = 180 <=isolate x by subtracting 45 from both sides

x = 135

Therefore the angles are 45° and 135°.

5 0

3 years ago

Read 2 more answers

Find the area of the figure

MakcuM [25]

9514 1404 393

Answer:

24.885 in²

Step-by-step explanation:

Use the formula for the area of a triangle.

A = 1/2bh . . . . . . . where b is the base length and h is the height perpendicular to the base

A = 1/2(7.9 in)(6.3 in) = 24.885 in²

_____

<em>Additional comment</em>

The given side lengths cannot form a triangle, as the side shown as 14.7 is too long for the ends of the other segments to connect to. The attachment shows that side should be 11.97 in.

5 0

2 years ago

Factorize x^2/16+xy+4y^2

lisov135 [29]

Answer:

$\frac{x^2}{16} +xy+4y^2$ can be factored out as: $(\frac{x}{4} +2\,y)^2$

Step-by-step explanation:

Recall the formula for the perfect square of a binomial :

$(a+b)^2=a^2+2ab+b^2$

Now, let's try to identify the values of $a$ and $b$ in the given trinomial.

Notice that the first term and the last term are perfect squares:

$\frac{x^2}{16} = (\frac{x}{4} )^2\\4y^2=(2y)^2$

so, we can investigate what the middle term would be considering our $a=\frac{x}{4}$ , and $b=2y$ :

$2\,a\,b=2\,(\frac{x}{4}) \,(2\,y)=x\,y$

Therefore, the calculated middle term agrees with the given middle term, so we can conclude that this trinomial is the perfect square of the binomial:

$(\frac{x}{4} +2\,y)^2$

4 0

3 years ago