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3 years ago

Find the radius of the circle given the area of the sector is 153.9 and the angle measure

Mathematics

1 answer:

zloy xaker [14]3 years ago

3 0

Answer:

Step-by-step explanation:

area of sector = 153.9

or, (1/2) r²∅ = 153.9

or, r²∅ = 153.9 ×2

or, r²∅ = 307.8

or, r²× π/2 = 307.8

or, r² = 615.6/π

or, r² = 196

or, r=√196

r = 14

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Which congruence theorems can be used to prove ΔABR ≅ ΔACR? Select three options.

sergejj [24]

Answer:

1. HL

2. SAS

3. SSS

Step-by-step explanation:

Triangles ABR and ACR share side AR (hypotenuse of two right triiangles).

Angles ABR and ACR are right angles.

Sides AB and AC are congruent.

Sides BR and CR are congruent.

1. You can use HL theorem, because two triangles have congruent pair of legs and congruent hypotenuses.

2. You can use SAS theorem, because two triangles have two pairs of congruent legs and a pair of included right angles between these legs.

3. You can use SSS theorem, because two triangles have two pairs of congruent legs and congruent hypotenuses.

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3 years ago

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Answer:

Step-by-step explanation:

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3 years ago

Ismael made a scaled copy of the following

bixtya [17]

Answer:

Options (A), (B) and (C)

Step-by-step explanation:

In the given figure,

Length of side AD = 16 units

If this side is scaled by a factor = k

Then the length of the corresponding side will be = 16k

If 0 < k < 1,

Then length of the corresponding side will be less than 16.

[Example: If k = $\frac{1}{4}$

Therefore, scaled side of the corresponding side of the quadrilateral = $16\times \frac{1}{4}$ = 4]

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3 years ago

Two basketballs are thrown along different paths. Determine if the basketballs’ paths are parallel to each

Paul [167]

Answer:

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Step-by-step explanation:

Remember that:

Two lines are parallel if their slopes are equivalent.
Two lines are perpendicular if their slopes are negative reciprocals of each other.
And two lines are neither if neither of the two cases above apply.

So, let's find the slope of each equation.

The first basketball is modeled by:

$\displaystyle 3x+4y=12$