Answer:
< Less Than and > Greater Than
This symbol < means less than, for example 2 < 4 means that 2 is less than 4. This symbol > means greater than, for example 4 > 2. ≤ ≥ These symbols mean 'less than or equal to' and 'greater than or equal to' and are commonly used in algebra. In computer applications <= and >= are used.
Step-by-step explanation:
Answer:D ( if you add +4 to the (x + 3)^2)
Step-by-step explanation:
Parent function is f(x) = x^2
A translation 3 units left gives y = )x + 3)^2
- and 4 up gives y = (x + 3)^2 + 4 - vertex form.
Standard form :
y = x^2 + 6x + 9 + 4
= x^2 + 6x + 13.
Answer:
4/5
Step-by-step explanation:
=.8
.8 into a fraction is 4/5
Answer:
Step-by-step explanation:
We are asked to find the measure of each exterior angle of a regular dodecagon.
We know that a regular dodecagon is a 12 sided regular polygon with each side equal.
We know that measure of each angle of n-sided regular polygon can be found using formula:
Upon substituting 
in above formula, we will get:
Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.
There are 3 right triangles.
Long leg short leg hypotenuse
Large ? ? 32+18 = 50 m
Medium 32 m x ?
Small x 18 m ?
Similar triangles: small & medium
short leg / long leg
x/32 = 18/x
x*x = 18 * 32
x² = 576
√x² = √576
x = 24
Long leg short leg hypotenuse
Large ? → 40 m ? 32+18 = 50 m
Medium 32 m 24 m ? → 40 m
Small 24 m 18 m ? → 30 m
solve hypotenuse of medium and small using Pythagorean theorem.
32² + 24² = c²
1024 + 576 = c²
1600 = c²
√1600 = √c²
40 = c
24² + 18² = c²
576 + 324 = c²
900 = c²
√900 = √c²
30 = c
Solve for the long leg of the large right triangle using ratio and proportion
medium and large: long leg / hypotenuse
32/40 = x/50
32*50 = 40 * x
1600 = 40x
1600/40 = x
40 = x
<span>
</span><span>A. How far is the spot on the beach from the parking lot? 24 meters
B. How far will he have to walk from the parking lot to get to the refreshment stand? 40 meters
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