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4 years ago

PLEASE HELP!!!! POINTS^^^^^^

Mathematics

1 answer:

Troyanec [42]4 years ago

3 0

1 - yes 100 and 75 are both collinear both are the same line.

2 - She can conclude that there both similar because the both go the same direction and both same shape.

3 - AB would equal 150 because the other one was 100 and the other angle was 25 down. So AB would equal 150.

Hope I helped

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Anuta_ua [19.1K]

Answer:

$\large\boxed{m\angle A\approx39^o}$

Step-by-step explanation:

Use the cosine law:

$a^2=b^2+c^2-2bc\cos A$

We have:

$a=14,\ b=17,\ c=22$

Substitute:

$14^2=17^2+22^2-2(17)(22)\cos A\\\\196=289+484-748\cos A\\\\196=773-748\cos A\qquad\text{subtract 773 from both sides}\\\\-577=-748\cos A\qquad\text{divide both sides by (-748)}\\\\\cos A=\dfrac{577}{748}\\\\\cos A\approx0.7714\to m\angle A\approx39^o$

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3 years ago

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Answer:

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Step-by-step explanation:

Consider permutation and combination;

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4 years ago

Find the measures of the supplementary angles if their difference is equal to 35°

skad [1K]

Set up a system of equations using the sum and difference equation.

x + y = 180 definition of supplementary angles

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x = 107.5

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3 years ago

What size does the radius of a sphere need to be for its volume to be larger than its surface area? HINT! It is less than 10. HI

Lera25 [3.4K]

We know that
volume of a sphere=(4/3)*pi*r³----> (r/3)*(4*pi*r²)
and
surface area of sphere=4*pi*r²
so
the volume of a sphere=(r/3)*surface area of sphere
therefore
if r=3
volume of a sphere=(3/3)*surface area of sphere
volume of a sphere=surface area of sphere

if r> 3
the term (r/3) is > 0
so
volume of a sphere > surface area of sphere

if r<3
the term (r/3) is < 0
so
volume of a sphere < surface area of sphere

examples
1) for radius r=3 units
volume of a sphere=(4/3)*pi*3³----> 113.04 unit³
surface area=4*pi*3²----> 113.04 units²
volume is equal to surface area

2) for radius r=10 units
volume of a sphere=(4/3)*pi*10³----> 4186.67 unit³
surface area=4*pi*10²----> 1256 units²
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3) for radius r=2 units
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surface area=4*pi*2²----> 50.24 units²
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3 years ago