3 years ago

Amy is cutting a triangle shaped baseball pennant banner out of felt. She starts by cutting a base 6 inches long and

Mathematics

1 answer:

ICE Princess25 [194]3 years ago

4 0

Answer:

30 degrees.

Step-by-step explanation:

A triangle has 180 degrees. The two base angles are 75 degrees each. The third angle is x

75 + 75 + x = 180 Combine like terms on the left

150 + x = 180 Subtract 150 from both sides.

-150 -150

x = 30

The third angle is 30 degrees.

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In a 3-4-5 right triangle which expression would provide the measure of the smallest acute angle

Bad White [126]

The possible expressions for the measure of the smallest acute angle

$sin\:\theta =\frac{3}{5}\:or\:\theta =sin^{-1}\left(\frac{3}{5}\right)$

$cos\:\theta =\frac{4}{5}\:or\:\theta =cos^{-1}\left(\frac{4}{5}\right)$

$tan\:\theta =\frac{3}{4}\:or\:\theta =tan^{-1}\left(\frac{3}{4}\right)$

These three expressions are the possible measure of the smallest acute angle.

5 0

3 years ago

Finding the Vertex What is the vertex of the quadratic function f(x) = (x – 8)(x – 2)? (,)

boyakko [2]

Answer:

<h3> vertex = (h, k) = (5, -9)</h3>

Step-by-step explanation:

$f(x) = (x-8)(x-2)\quad\implies\quad x_1=8\,,\ \ x_2=2\\\\ h=\dfrac{x_1+x_2}2=\dfrac{8+2}2=5\\\\k=f(h)=(5-8)(5-2)=-3\cdot3=-9$