Answer:
Step-by-step explanation:
Break down the figure into two shapes.
SHAPE A: The larger one. We can infer the size of the bottom is 6 cm because it's the same size as it's top counterpart. Same goes for the left side, which will have a measure of 7 cm.
SHAPE B: The smaller one. We're going to use the same method as we did with the first one, and infer the lengths of the other sides using the existing ones.
To calculate area, it's length times width.
SHAPE A: Its two side measures are 6 and 7, which equates to 42 cm^2.
SHAPE B: Its two side measures are 2 and 3, which equates to 6 cm^2.
If you add the two, the total area is 44 cm^2.
Answer:
yes, it is a right triangle and ∡Q is the right angle
Step-by-step explanation:
if the slope of QR is the opposite reciprocal of QS then the two segments are perpendicular and form a 90° angle
slope of QR: -3 - (-1) ÷ 2 - 0 = -2 ÷ 2 = -1
slope of QS: -3 - (-1) ÷ 2 - 4 = -2 ÷ -2 = 1
-1 and 1 are opposite and reciprocal so m∡Q = 90°
<h3>
Answer: D) common ratio</h3>
Explanation:
The four points on this curve are
(1, 3)
, (2, 6), (3, 12)
, (4, 24)
The equation of the curve that goes through all the points mentioned is
y = 3*2^(x-1) which is equivalent to y = 1.5*2^x
Both equations are exponential equations.
Sequences of the form
a(n) = a*(r)^(n-1)
are geometric sequences with common ratio r. In this case, r = 2.
Note how the jump from 3 to 6 is "times 2", so is from 6 to 12, and from 12 to 24. We multiply each term by 2 to get the next one.
Answer:
104 miles
Step-by-step explanation:
52/2.5 = 20.8
20.8 miles = 1 inch
20.8 x 5
104 miles = 5 inches