Answer:
<u>The width is 1.67 or 1 2/3 feet approximately</u>
Step-by-step explanation:
Area of the dog pen = 14 1/5 = 14.2 square feet
Length of the pen = 8 1/2 = 8.5 feet
Width of the pen = x
Let's recall that the formula of the area of a rectangle is:
Area = Length * Width
Replacing with the values we know:
14 1/5 = 8 1/2 * Width
14.2 = 8.5 * Width
Width = 14.2/8.5
Width = 1.67 feet (rounding to the next hundredth)
1.67 ≅ 1 2/3
<u>The width is 1.67 or 1 2/3 feet approximately</u>
Answer:
D
Step-by-step explanation:
The y axis is the vertical axis; the one going up and down.
A reflection means that a point is an equal distance away from its reflector as the basis was.
A was a reflection across the line y=x.
B was a reflection across the x axis with a 90 degree rotation.
C was a reflection across the x axis.
That leaves D.
It moves in a horizontal line. Its 'y value' does not change.
<u>Given</u>–
AB = 12 Cm
CD = 14 Cm
PO = 10 Cm
AP = 1/2 × 12 = 6 Cm
<u>Construction</u>–
Draw NO such that it is the perpendicular bisector of CB.
Hence,
ND = 1/2 × 14 = 7 Cm
To Find,
Measure of NO
<u>Solution</u>,
Here, PO Perpendicular to AB
Hence, APO is a right-angled triangle–
AO² = PO² + AP²
Or, AO² = 10 ² + 6 ²
Or, AO² = 36 + 100
Or, AO = √136 Cm
Or, AO = 11.66 Cm
Also, AO = OD = 11.66 Cm
( Radius of the same circle )
Now, in triangle OND,
OD² = ON² + ND ²
Or, 11.66 ² = ON² + 7²
Or, 136 = ON² + 49
Or, ON ² = 136 – 49
Or, ON ² = 87
Or, ON ² = √87
Or, ON = 9.3 Cm
Therefore, the appropriate length from center to CD is 9.3 Cm.
Answer:
80%
Step-by-step explanation:
Divide 24÷30 to obtain a decimal value. Then multiply the result by 100. This will move the decimal 2 places to the right. 0.8×100= 80%
