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3 years ago

Please help with geometry!! Find the value of x. Round to the nearest tenth. The diagram is not drawn to scale.

Mathematics

1 answer:

Agata [3.3K]3 years ago

5 0

Answer:

8.4 cm

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relationship between the sides of a right triangle and the trig functions of an angle. Here, we are given the side adjacent to the angle, and we want to find the side opposite. This suggests the Tangent relationship could be useful:

Tan = Opposite/Adjacent

tan(35°) = x/(12 cm)

(12 cm)·tan(35°) = x ≈ 8.4 cm . . . . . . multiply by 12 cm

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antoniya [11.8K]

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108 x 5/9 = 60

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4 years ago

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Swimming pool pete's pools installs rectangular pools that are all 10 feet wide. the length can very from 10 feet to 30 feet. th

AleksandrR [38]

76=2w+2l
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8 0

3 years ago

Find the area of the triangles round to the tenth. Show steps please!

amm1812

Answer:

$\large\boxed{A=89.6}$

Step-by-step explanation:

It's the right triangle. The formula of an area of a right triangle:

$A=\dfrac{leg\cdit leg}{2}$

We have:

$leg=x\\leg=16\\\text{and the angle}\ \alpha=55^o$

Use tangent:

$tangent=\dfrac{opposite}{adjacent}$

$opposite=16,\ adjacent=x$

$\tan55^o\approx1.4281$

Substitute:

$\dfrac{16}{x}=1.4281$ convert the decimal to the fraction

$\dfrac{16}{x}=\dfrac{14281}{10000}$ cross multiply

$14281x=160000$ divide both sides by 14281

$x=\dfrac{160000}{14281}$

$x\approx11.2$

Calculate the area:

$A=\dfrac{(16)(11.2)}{2}=89.6$

7 0

3 years ago

Un huerto escolar tiene una superficie de 4dam2 500m2 y se requiere dividir en seis parcelas rectangulares de igual area ¿ cuant

vitfil [10]

Answer:

Cada parcela tendrá una extensión de 150 metros cuadrados.

Step-by-step explanation:

De acuerdo con el enunciado el huerto escolar tiene una extensión de 4 decámetros y 500 metros cuadrados.

Tengamos presente que un decámetro es igual a 100 metros cuadrados, entonces el huerto escolar tiene un área total de 900 metros cuadrados. Si dividimos esa área en seis parcelas de igual extensión, tenemos que:

$x = \frac{900\,m^{2}}{6}$

$x = 150\,m^{2}$

Cada parcela tendrá una extensión de 150 metros cuadrados.

7 0

3 years ago

Devin's DVD case has 3 rows of slots, but 5 slots are broken.If x equals the number of slots in a row explain how the expression

Paul [167]

Answer:

The total number of unbroken / working slots

Step-by-step explanation:

Given that Devin's DVD case has 3 rows of slots, but 5 slots are broken

Also given that the number of slots in a row is x

1 row has x slots

3 rows has y slots

on cross multiplication we get y = 3x

ie there are a total of 3x slots in the 3 rows

Given that out of these 3x slots 5 . of the slots are broken

Therefore the total number of working slots = total number of slots - number of slots which are broken

total number of working slots are = 3x - 5

Therefore the given expression is the number of working / good slots

6 0

3 years ago