Answer: length of DE is about 3.3 ft
Step-by-step explanation: A calculator is necessary!
DE is the unknown hypotenuse of the triangle
get the sine of 23° = 0.3907311285
Use the equation for sine
<em>sin = o/h</em> .
To find h, Substitute values for sin and o. O is EC, Opposite the 23° angle D
<em>0.3907311285 = 1.3/h</em> multiply both sides by h
h(0.3907311285) = 1.3 divide both sides by 0.3907311285
h = 1.3/0.3907311285
3.327096065 = h, the length of the hypotenuse, DE.
Part A: The exponential function is the best model for the given data. The data shows that every month the number of visitor approximately doubles from previous month. In other words the number is some base value (2, in this case) with the number of month (t) being in the exponent. This the a key characteristic of an exponential growth.
Part B: (also explained above). Every month the number of visitors approximately doubles. Starting with 5.74 at month 8, the numbers goes up by about the same amount to 12.0 at month 9. At month 10, a similar increase occurs (doubling would be 24, and the data shows 25, so this is all "aproximate"). This trend continues throughout the table.
Part C:
Month 7 will be estimated as half of month 8 (going backward):
Month 7: 5.74/2=2.87
Estimate for month 7 = 2.87 thousand visitors.
Answer:
cos F = adjacent/hypotenuse
= 15/28
Answer:
3b/20+4
Step-by-step explanation:
-2 + 2/5b - 1/4b + 6
Combine 2/5b and 1/4b to get 3/20b
-2 + 3/20b + 6
Add −2 and 6 to get 4.
4+3/20b
Answer:
ASA
Step-by-step explanation:
ASA(Angle-Side-Angle) postulates states that if two angles and one included side of one triangle are congruent to the two angles and one included sides of the other triangle, then these triangles are congruent.