1 year ago

One-eight of 32 students in the class went abroad for fall break. how many students went aboard

Mathematics

1 answer:

Anna35 [415]1 year ago

8 0

Answer:4

Step-by-step explanation: 32\8 = 4

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One vertex of a triangle is located at (0,5) on a coordinate grid. After a transformation the vertex is located at (5,0). Which

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Answer:

Two options for this case will be,

Clockwise rotation : -90°

Anti-Clockwise rotation : +270°

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If we rotate the triangle clockwise -90° then the vertex will be at (5,0).

Similarly by rotatating it anti-clockwise for +270° it will be at same position

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Joe practiced his trumpet 3/4 hour on Monday and 7/12 hour on Tuesday. How long did he practice altogether

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3 years ago

Prove that:- (1-sinA)(1+sinA)÷(1+cosA)(1-cosA)=cot^2A

astraxan [27]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1 , then

sin²x = 1 - cos²x and cos²x = 1 - sin²x

Consider the left side

$\frac{(1-sinA)(1 + sinA)}{(1+cosA)(1-cosA)}$ ← expand numerator/denominator using FOIL

= $\frac{1-sin^2A}{1-cos^2A}$

= $\frac{1-(1-cos^2A)}{1-(1-sin^2A)}$

= $\frac{1-1+cos^2A}{1-1+sin^2A}$

= $\frac{cos^2A}{sin^2A}$

= cot²A = right side , thus proven

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