Answer:
Therefore,
The Measurement of AB is 16.25 units.
Step-by-step explanation:
In Right Angle Triangle ABC
m∠C=90°
AC = 10.01 .....(Adjacent Side to angle A)
m∠A=52°
cos 52 ≈ 0.616
To Find:
AB = ? (Hypotenuse)
Solution:
In Right Angle Triangle ABC, Cosine Identity,
Substituting the values we get
But cos 52 ≈ 0.616 ....Given
Therefore,
The Measurement of AB is 16.25 units.
The statement that best describes the graph is “It will not
be spread out across the entire coordinate plane because in Step 3 Sharon
plotted the independent variable on the y-axis.”
To add, graphing is a powerful tool for representing and
interpreting numerical data. In addition, graphs and knowledge of
algebra can be used to find the relationship between variables
plotted on a scatter chart.
Answer: The fraction 301/900
Note: I'm assuming the 4's continue on forever
==============================================
Work Shown:
I'm going to assume that the 4s go on forever. I'll represent this with three dots after the last 4 like so
0.334444...
Now let x = 0.334444...
Multiply both sides by 100
x = 0.334444...
100x = 100*(0.334444...)
100x = 33.444444...
And repeat with 1000
x = 0.334444...
1000x = 1000*(0.334444...)
1000x = 334.444444...
Then subtract and solve for x. Notice how the decimal parts line up and cancel
1000x-100x = (334.444444...) - (33.444444...)
1000x-100x = (334+0.444444...) - (33+0.444444...)
1000x-100x = 334+0.444444... - 33 - 0.444444...
1000x-100x = (334-33)+(0.444444... - 0.444444...)
900x = 334 - 33
900x = 301
x = 301/900
Answer:
44 hotdogs
30 hamburgers
Step-by-step explanation:
b r a i n and p a p e r
Answer:
8
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (- 4, 6 ), thus
y = a(x + 4)² + 6
To find a substitute (- 3, 14) into the equation
14 = a(- 3 + 4)² + 6 ( subtract 6 from both sides )
8 = a
Thus the coefficient of the x² term is a = 8
