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harina [27]
3 years ago
14

Write inequalities to describe the solid left (x < 0 is left) hemisphere of a sphere of radius 4 centered at the origin

Mathematics
2 answers:
Serggg [28]3 years ago
8 0
The equation of the sphere centered at 0, and radius 4 is:

\displaystyle{ x^2+y^2+z^2=4^2, 

note that this equation describes exactly the points of the surface of the square. That is, this is an EMPTY sphere.

The solid sphere, that is the points on the surface and all points in the inside, are given by :

\displaystyle{ x^2+y^2+z^2 \leq 4^2


since we want the left part of the solid part, picture 2, we add the condition x<0,


thus "the solid left (x < 0 is left) hemisphere of a sphere of radius 4 centered at the origin" is given by the system of inequalities:

i) \displaystyle{ x^2+y^2+z^2 \leq 4^2
ii)x\ \textless \ 0

Zinaida [17]3 years ago
8 0
Wrong question, sorry.

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In the above bridge, line segment BD is the perpendicular bisector of line segment AC. For the bridge to be safe, Triangle ABD i
klasskru [66]

Answer: we can get the sequence of reasons with help of below explanation.

Step-by-step explanation:

Here It is given that, line segment BD is the perpendicular bisector of line segment AC. ( shown in below diagram)

By joining points B with A and B with C ( Construction)

We get two triangles ABD and CBD.

We have to prove that : Δ ABD ≅ Δ CBD

      Statement                                                  Reason

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2. ∠BDA ≅ ∠ BDC                        2. Right angles

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8 0
3 years ago
I need help asap please more than one answer
pashok25 [27]

Answer:

A) 8(x+8); 8*x+8*8

B)15y+2

I hope this helps!

3 0
3 years ago
What is the length of AC? What is the measure of angle A? What is the measure of angle B?
kipiarov [429]

Answer/Step-by-step explanation:

✔️Find AC using Pythagorean Theorem:

AC² = 25.2² - 11.3²

AC² = 507.35

AC = √507.35

AC = 22.5 (nearest tenth)

✔️Find m<A using trigonometric ratio:

Reference angle = A

Opp = 11.3

Hyp = 25.2

Sin(A) = opp/hyp

Sin(A) = 11.3/25.2

A = sin^{-1}(11.3/25.2)

A = 26.6° (nearest tenth)

✔️Find m<B using trigonometric ratio:

Reference angle = B

Adj = 11.3

Hyp = 25.2

Cos(A) = adj/hyp

Cos(A) = 11.3/25.2

A = cos^{-1}(11.3/25.2)

A = 63.4° (nearest tenth)

6 0
2 years ago
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