The actual measurement of the length of the colored face of the aquarium is <u>D. 36 inches by 14 inches</u>.
<h3>What is a scale drawing?</h3>
Generally, a scale drawing is described as a drawing that has been reduced or enlarged from its original size to a specified scale.
For instance, the scale of the drawing of the original aquarium is ¹/16. This implies that the length, width, and height have been scaled down to one-sixteenth of the original size.
<h3>Data and Calculations:</h3>
Scale drawing = ¹/16 of the original aquarium
Length of the colored face = 2¹/₄ inches
The actual length of the colored face = 36 inches (2¹/₄ inches x 16)
Thus, the actual measurement of the length of the colored face of the aquarium is <u>D. 36 inches by 14 inches</u>.
Learn more about measurements at brainly.com/question/24842282
Answer:
C. 79%
Step-by-step explanation:
The probability of the pebble inside the circle will depend on the area of the circle. I assume that the circle is inside the square surface and has the diameter(d) the same as the square side(s). If the radius equal to half diameter, the area for the circle will be:
circle area = pi * r * r
circle area= 3.14 * (0.5d) * (0.5d)
circle area=0.785 d^2= 0.785 s^2
The total area where the stone can land is equal to the square area. The area of the square is:
square area= side * side= s^2
Then the chance for the pebble land on the circle is:
circle area/ square area= 0.785 s^2 / s^2= 0.785= 79%
Here we go ~
The general equation of ellipse is :
[ because it's a horizontal ellipse with centre at origin ]
so, let's equate given equation with the standard equation ~
se get :
As we know, length of minor axis is : 2b = 2 × 6 = 12 units
and, the smaller circle has diameter = 2b = 12 units
so, it's radius = 6 units ~
Now, let's write the equation of circle with origin as centre and radius = 6 units
[ h = 0, k = 0, since circle has centre at origin ]
Answer:
Step-by-step explanation:
1) First, "cancel out" the 3s. Remember, exponents are kind of like another way of saying, "multiply this number by itself this many times." Whatever the bigger number is is the number that you multiply by itself, and the smaller number at the top indicates how many times you have to do that.
Take , for example. It's saying "multiply 3 by itself 4 times." Therefore, you can write it as (3)(3)(3)(3):
Now, simplify. For each 3 in the denominator, cross out a 3 in the numerator. So, cross out the single 3 in the denominator, and cross out one 3 in the numerator. Then, multiply the left over 3s. This gives us this:
2) Do the same with the x's. Write them out, cancel them out, and then multiply the leftovers together:
Therefore, is the answer.