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n200080 [17]
4 years ago
13

In triangle ABC, you know that a = 2, b = 3 and m < A = 30°. Which option below lists the number of triangles and gives the c

orrect explanation?
There are no triangles because b sin A < a.
There is exactly one triangle because b sin A = 0.5b.
There are two triangles because b sin A < a < b.
There are three triangles because b sin A = 0.5b and b sin A < a < b.
Mathematics
2 answers:
zhenek [66]4 years ago
8 0
Apply the Law of Sines.
sinB/b = sinA/a
sinB/3 = sin(30°)/2
sinB = (3/2)sin(30°) = 0.75

Therefore
bsinA = 3*sin(30) = 1.5
0.5b = 0.5*3 = 1.5

Answer:
There is exactly one triangle because b sinA  = 0.5b.
Nana76 [90]4 years ago
5 0
That person who answered wrong
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lapo4ka [179]

Answer:

y=-3 x=4

Step-by-step explanation:

y=3x+3

y=3x+3 y=x-1

+<u>1</u><u> </u><u> </u><u> </u><u> </u><u>+</u><u>1</u>

y+1=x

y=3(y+1)+3

y=3y+3+3

y=3y+6

<u>-3y=-</u><u>3y</u>

-2y=6

-y=3

<u>y=</u><u>-</u><u>3</u>

3=x-1

<u>+1=+1</u>

<u>4</u><u>=</u><u>x</u>

4 0
3 years ago
A tree is supported by HELP! a wire anchored in the ground 9 feet from its base. the wire is 1 foot longer than the height that
olga55 [171]
For a right triangle with legs legnth a and b and hyptonuse c
a^2+b^2=c^2
9 feet from base, that's one leg
wire is hypotnuse, it's 1 more than height on tree
c=b+1

so
9^2+b^2=(b+1)^2
81+b^2=b^2+2b+1
minus b^2+1 from both sides
80=2b
divide both sides by 2
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7 0
3 years ago
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The number of pages that Albert, Keith, Rita, and Bess can read in a day is shown below:
Elis [28]
Albert, because he can read 8 pages 

8 0
3 years ago
Read 2 more answers
Given m (3,5) and n (11,-1). find MN
Makovka662 [10]
They gave the coordinates so you are going to use distance formula to find the MN.


4 0
3 years ago
Suppose the path of a baseball follows the path graphed by the quadratic function ƒ(d) = –0.6d2 + 5.4d + 0.8 where d is the hori
GrogVix [38]

Answer:

The correct option D.

Step-by-step explanation:

The given function is

f(d)=-0.6d^2+5.4d+0.8

Where f(d) is the height of the ball at horizontal distance d.

Put f(d)=0, to find the distance where the ball touch the ground.

0=-0.6d^2+5.4d+0.8

Quadratic formula:

d=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Using the quadratic formula we get

d=\frac{-5.4\pm \sqrt{(5.4)^2-4(-0.6)(0.8)}}{2(-0.6)}

d=-0.146,9.146

Therefore the ball is in air between d=-0.146 to d=9.146.

The distance can not be negative, therefore the ball remains in the air between d=0 to d=9.146.

9.146\approx 9.15

Therefore the correct option is D.

6 0
3 years ago
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