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goblinko [34]
3 years ago
5

Given right triangle ABCABC with altitude \overline{BD}

Mathematics
1 answer:
mina [271]3 years ago
5 0

Answer:

The correct answer is 4√3

Step-by-step explanation:

Consider the triangle ABC.

BC = 12 units. ∠ B = 90°. Let ∠ C = α°.

Now let us consider the triangle BDC.

DC = 4 units. ∠ D = 90°. Let ∠ C = α°.

We find here the angle C is common between both the triangles.

∴ For ΔABC, cos α° = \frac{BC}{AC} = \frac{BC}{12}

and for Δ BDC, cos α° = \frac{DC}{BC} = \frac{4}{BC}

Now equating both the equations we get,

BC^{2} = 48

⇒ BC = 4√3

The length of BC is 4√3 units.

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Determine which of the following are functions. select all that apply
Sergeeva-Olga [200]

Answer:

I still need the whole question to answer it correctly .

Step-by-step explanation:

to determine a fonction a will give you an example .

(2,3) (2,3) (3,5) (8,9)

a) is f(2)

B) is f(4)

C) is f(3)

so in this case the answer would be 4 because 4 is not repeated on the first fonctions which are 2,2,3 and 8.

I don't know if your question is this case but I hope this helps.

3 0
3 years ago
Read 2 more answers
Given the polynomial function below, find F(-1). F(x) = -x ^3 - x ^2 + 1
steposvetlana [31]

Answer:

f(-1) = 1

Step-by-step explanation:

Given

f(x) = -x^{3}-x^{2} +1

Finding f(-1) means, we have to put -1 in the places of x in the function,

So, putting x=-1 in the function

f(-1) = (-1)^{3} - (1)^{2} +1

As the power 3 is odd, the minus will remain the same, while in the 2nd term minus will be eliminated due to even power. So,

=> -1-1+1

=> 1

Hence,

f(-1) = 1

7 0
3 years ago
Can someone help me!!! been stuck on this for a while!!
Natali5045456 [20]

Answer:

<em>Volume: Option A - Around 85.33 (in^3)</em>

Step-by-step explanation:

Let us take a look at the problem. Here we are given the circumference of the bowling ball, provided it is in the shape of a sphere.

Our first step can be to note the formula of circumference, applicable to both a sphere and a circle:

C = 2 * π * r  - Where r = radius

Now let us substitute the known value of the circumference as to solve for r, or the radius:

(8π) = 2πr

r = 8π/2π

r = 4

Now take a look at the spherical formula for volume of a sphere:

V = 4/3 * π * r^3 - Where r is yet again the radius

Let us substitute the known value of the radius as to solve for the volume, or in other words to solve for the answer:

V = 4/3 * π * (4)^3

V = 4/3 * π * 64

V = 256/3 * π

V = (Around) 85.33π (in)^3

*Don't forget the units

6 0
4 years ago
Which of the following lists of ordered pairs is a function?
Amanda [17]

Answer:

B

Step-by-step explanation:

a function is a relation from a set of inputs (X) to a set of possible outputs where each input is related to exactly one output (Y). Only option B satisfies this definition

3 0
4 years ago
8,508,400 divided by 10 to the sixth power
irga5000 [103]
Your answer for your problem

4 0
3 years ago
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