Answer:
answer a. Because 16^2=256
4^2+ 4/15^2=16.01
16.01<256 . Therefore, it is acute-angled acute
Answer:
12.5 in²
Step-by-step explanation:
Given:
Height of tile = 2.5 in
Base of tile = 2*height of tile = 2*2.5 = 5 in
Length of other side of tile = 2.5 in
Required:
Area of the tile
SOLUTION:
Area of the tile = area of parallelogram
All we need to calculate the area of the tile, is the base and the height.
Area of parallelogram = base × height
Area of tile = 5 × 2.5 = 12.5 in²
Answer:
p=1/2*3.14+d
1/2*3.14*19.5=30.615
=30.615+39
=69.615
=69.6
Step-by-step explanation:
since it's half a circle we take the formula of acricle to be half
Answer:
y=-2/3x-1
Step-by-step explanation:
Answers:
- Domain is (-4, 3]
- Range is (-5, 5]
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Explanation:
The domain is the set of allowed x input values, aka the set of all allowed x coordinates of the points. We see that 
. It might help to draw vertical lines through the endpoints until you reach the x axis. Note the open hole at x = -4 to indicate we do not include this as part of the domain (hence the lack of "or equal to" for the first inequality sign).
The interval then can be condensed into the shorthand form (-4, 3] which is the domain in interval notation.
It says: x is between -4 and 3. It can't equal -4 but it can equal 3.
So the use of parenthesis versus square brackets tells the reader which endpoint is included or not.
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The range describes all possible y outputs. We see that y = 5 is the largest it gets and y = -5 is the lower bound. It might help to draw horizontal lines through the endpoints until you reach the y axis. The open hole means -5 is not part of the range.
The range as a compound inequality is 
. This condenses into the shorthand of (-5, 5] which is the range in interval notation.
Verbally, the range is the set of y values such that y is between -5 and 5. It can't equal -5 but it can equal 5.
