Answer:
The angles are 79.45, 59.02 and 41.53 degrees to the nearest hundredth.
Step-by-step explanation:
We have a triangle with sides of length 8.6, 5.8 and 7.5 feet.
Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:
cos X = (8.6^2 - 5.8^2 - 7.5^2) / ( -2*5.8*7.5)
= 0.18310
X = 79.45 degrees.
We can now find another angle using the sine rule:
8.6 / sin 79.45 = 7.5/ sin Y
sin Y = (7.5 * sin 79.45) / 8.6
Y = 59.02 degrees
So the third angle = 180 - 79.45 - 59.02
= 41.53 degrees.
Example: 2x + 6 < -8
There's 2 steps to solve this one.
2x + 6 < -8
Subtract 6 from both sides
2x < -14
Divide both sides by 2
x< -7
Answer:
$24
Step-by-step explanation:
Since you know 5 tickets equal to $60, and you want to find the cost of one ticket, you would divide 60 by 5. 60/5=12. So each ticket costs 12 dollars. But you want to find the cost of two. So multiply $12 by two to get $24 dollars per two tickets.
Answer:
Hence the correct option is option b) Yes, the upper level of one standard deviation is 72.
A score of 74 is not within one standard deviation of the mean.
Step-by-step explanation:
Here the given details are,
Mean = 68
SD = 4
Distribution is normal.
Z-score for x = 74 is given as below:
So, the score of 74 is 1.5 standard deviations from the mean.
Therefore the score is not lies between 64 and 72.
Yes, the upper level of one standard deviation is 72.
Answer:
a) 58.24 square centimeters
b) 5cm
Step-by-step explanation:
a) Area of a parallelogram
The formula for the Area of a parallelogram = Base × Height
Height : 5.2cm
Base : 11.2cm
Area = 5.2 cm × 11.2cm
= 58.24 square centimeters
b) Volume of a cuboid
The formula for the Volume of a cuboid = Length × Width × Height
7cm = Width
3cm = Length
y = Height
Volume = 105cm³
We are to find y
Hence,
105cm³ = 7cm × 3cm × y
y = 105cm³/7cm × 3cm
y = 5cm
