Given the triangle below, what is m triangleA, rounded to the nearest tenth?

Mathematics

2 answers:

Neko [114]2 years ago

8 0

Answer:

The correct answer is option A 17.8°

Step-by-step explanation:

From the figure attached with this answer,

We can see a perpendicular from B to side AC

To find BD

In triangle BDC, its angles are 30°, 60° and 90°

Therefore the sides are in the ratio 1 :√3 : 2

Here BC = 11

BD : DC : BC = 1 :√3 : 2 = 11√3/2 : 11/2 : 11

Therefore BD = 11/2

To find the value of m<A

We have

Sin ∅ = Opposite side /Hypotenuse

AB = 18 and BD = 11/2

Sin A = BD/AB =(11/2)/18 = 11/36 = 0.3055

m<A = Sin⁻¹(0.3055) = 17.79 ≈ 17.8°

Therefore the correct answer is option A 17.8°

Valentin [98]2 years ago

5 0

Answer:

B because it is close to 30

Step-by-step explanation:

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Which of the following equations could be solved for a radius? Select all that apply.

zalisa [80]

Answer:

A = π · (r²)

Step-by-step explanation:

$A =$ π · r² is the area of a circle.

While π · r² · h can also give you the radius, it can only do so for the Volume $V$ , not the Area $A$ .

$V=lwh$ doesn't really apply for a circular object, as it requires the length and width. For circular objects, both are equal to the diameter of the object, and 2² · r² · h does not equal the Volume.

$V=$ π · r³ seems awfully like the volume of a sphere, but there's something missing. The true volume of a sphere is $V=\frac{4}{3}$ · π · r³, not $V=$ π · r³.