Answer:
3.897 
Step-by-step explanation:
equilateral triangles are also equiangular, meaning the have equal angles.
Triangle sum theory says that angles of a triangle add up to 180.
That means each angle is 60.
A = bh/2
You need the (h). The base of is 3. Perimeter = 9, so each side is 3
Draw a perpendicular line for the height. The line cuts the base in half (1.5)
Using trigonometry you can find the height.
tan 60° = h/1.5
h = height, 1.5 is half of 3, 60° is the base angle.
multiply each side by 1.5
1.5(tan 60°) = h
h=2.598
then substitute h into formula
A= <u>(2.598)(3) </u>
2
A = 3.897 rounded
Answer:
1.4286 this should be your answer
Step-by-step explanation: you what is the decimal of 5/7 and 1/2 which 5/7 decimal is 0.7143 and the decimal of 1/2 is 0.5 and you then divide
Answer:
f(9.5) = 558.02.
Step-by-step explanation:
Because it is an exponential function, it can be written: y = (a)(b)^x
Now substitute in the two known points:
72 = (a)(b)^7.5 and
2 = (a)(b)^4 : => since 2 = (a)(b)^2 divide the left side by 2 and the right by (a)(b)^2
72/2 =[(a)(b)^7.5]/[(a)(b)^4]: => the (a) cancels out and b becomes b^(7.5–4)
36 = b^3.5: => To isolate b take the 3.5 root of both sides
{3.5 root}(36) = {3.5 root}(b^3.5)
2.783927 = b
Now to solve for a
2 = (a)(b)^4 => 2 = (a)(2.783927)^4 => 2 = (a)(60.066375) divide both sides by 60.066375 0.0332965 = a
Equation: y = (0.0332965)(2.783927)^x
Now plug in 9.5 for x
(0.0332965)(2.783927)^9.5 = 558.0178525 = 558.02
Answer:
Her mistake is that she should plot the point (0, 5) first, not (1, -3)
Step-by-step explanation:
First I simplified the equation given.
y - 3 = 2 (x + 1)
y - 3 = 2x + 2
+3 +3
y = 2x + 5
Since 5 is our y-intercept we would want to graph that first, which would be (0, 5) as a point.
Hope this helps!
The correct answer would be the first and the last ones.
