Answer:
Step-by-step explanation:
Answer:
$1077.283
Step-by-step explanation:
When complete the first year the amount will be:
1000 * 1.015= 1015
1.015 because the rate is added to the initial amount, that is: 100%+1.5% = 1 + 0.015= 1.015
When complete the second year the amount will be the last year amount adding the rate interest:
1015*1.015=1030.225.
To the third year:
1030.225*1.015=1045.678
To the fourth year:
1045.678*1.015=1061.363
To the fifth year:
1061.363*1.015=1077.283
The volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.
<h3>
What is volume?</h3>
It is defined as a three-dimensional space enclosed by an object or thing.
We have a triangular prism shown in the picture with dimensions.
As we know, the volume of the triangular prism is given by:
V = bhl/2
h = √[2²- (2/2)²]
h = √(4-1)
h = √3 units
V = (2×√3×5)/2
V = 5√3 cubic units
Thus, the volume of the triangular prism is 5√3 cubic units if the height of the triangular prism is √3 units. Option (B) is correct.
Learn more about the volume here:
brainly.com/question/16788902
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What we can say with a good deal of certainty is that our sample is biased towards the higher spectrum and that the real value of the mean for our population is lower than the obtained value of our sample. If this is true, we should expect for the standard deviation to be higher than in the population.
Answer:
d) 86.2 degrees
x = 86.20°
Attached is the image used in the question;
Step-by-step explanation:
Applying the law of cosine;
Cos C = (a² + b² - c²)/2ab
Where;
Angle C = x
c = 13 ft
b = 9ft
a = 10ft
Substituting into the equation;
Cos x = (10² + 9² - 13²)/(2×10×9)
Cos x = 0.0667
x = cos⁻¹(0.0667)
x = 86.20°
