Answer:
26 1-foot squares of silver paper.
Step-by-step explanation:
The dimensions of the bulletin board are 6.5 feet by 4 feet.
To determine how many squares of silver paper she needs to but, we first determine the area of the bulletin board.
Area of the board =6.5 X 4= 26 Square feet
Therefore, Mrs Golden needs to buy <u>26 1-foot squares of silver paper.</u>
There will be <u>no pieces left over</u> as there is no decimal or fractional value in the area of the bulletin board.
Answer:
they are side by side but not intersect
Cos <span>2</span><span>x </span><span>= </span><span>2</span><span>cos^</span><span>2</span><span>(</span><span>x</span><span>) </span><span>− </span><span>1</span>
2<span>cos^</span><span>2 </span><span>(</span><span>x</span><span>) </span><span>− </span><span>1 </span><span>− </span><span>cos</span><span>(</span><span>x</span><span>) </span><span>≡ </span><span>2</span><span>cos^</span><span>2</span><span>(</span><span>x</span><span>) </span><span>− </span><span>cos</span><span>(</span><span>x</span><span>) </span><span>− </span><span>1</span>
Let <span>cos</span><span>(</span><span>x</span><span>) </span><span>= </span><span>y</span>
2<span>y^</span><span>2 </span><span>− </span><span>y </span><span>− </span><span>1
</span><span>(</span><span>2</span><span>y </span><span>+ </span><span>1</span><span>) </span><span>(</span><span>y </span><span>− </span><span>1</span><span>) </span>y <span>= </span><span>−</span><span>1/2
</span><span>y </span><span>= </span><span>1</span>
y <span>= </span><span>cos</span><span>(</span><span>x)</span>
∴ <span>cos</span><span>(</span><span>x</span><span>) </span><span>= </span><span>−</span><span>1/</span><span>2 ; </span><span>cos</span><span>(</span><span>x</span><span>) </span><span>= </span><span>1</span>
x <span>= </span><span>2/</span><span>3 </span><span>π ;</span><span> </span><span>x </span><span>= </span><span>0</span>
solutions;x <span>= </span><span>2/</span><span>3 </span><span>π</span><span>, </span><span>x </span><span>= </span><span>0</span><span>, </span><span>x </span><span>= </span><span>4/</span><span>3 </span><span>π</span><span>, </span><span>x </span><span>= </span><span>2</span><span>π</span>
Answer:
Maximum value is y=24 when x=20
Step-by-step explanation:
The maximum value of the downward parabola is its vertex. Since the vertex is (20,24) then the maximum value is y=24 when x=20
Answer:
Distance between nina's house to her friend's home = AC = 5 miles
Step-by-step explanation:
Distance between nina's house to her school = BC = 4 miles
Distance between nina's school to her friend's home = BA = 3 miles
Distance between nina's house to her friend's home = AC = ??
From the ΔABC
AC = 5 miles
Therefore Distance between nina's house to her friend's home = AC = 5 miles
