By using trigonometric relations, we will see that:
AC = 15.6 in
AB = 8.4 in.
<h3>
How to get the measures of the other two sides of the right triangle?</h3>
Here we have the right triangle where:
B = 90°
C = 40°
BC = 10 in.
Notice that is the adjacent cathetus to the angle C, then we can use the two relations:
- sin(a) = (adjacent cathetus)/(hypotenuse).
- tan(a) = (opposite cathetus)/(adjacent cathetus).
Where:
- hypotenuse = AC
- opposite cathetus = AB.
Then we will have:
sin(40°) = 10in/AC.
AC = 10in/sin(40°) = 15.6 in
tan(40°) = AB/10in
tan(40°)*10in = AB = 8.4 in.
So we can conclude that for the given right triangle we have:
AC = 15.6 in
AB = 8.4 in.
If you want to learn more about right triangles:
brainly.com/question/2217700
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Answer:
Step-by-step explanation:
The formula for arc length in terms of degrees is
and we have everything we need to fill in to find the angle measure.
which is the same as
and
and
so
θ = 253°
Yes, It is reasonable. I think this because you are dealing with 60 blocks, and out of every 5 blocks there are 3 red. 5 goes into 60 12 times. 3 multiplied by 12 is 36. 36 is more than 32. So, I think that it is reasonable. If this explanation didn't make sense, then feel free to ask for more. I hope this helped!
Answer:
22.5
Step-by-step explanation:
What you need to do is calculate the volume of the Box. With the box being the volume of the piramid added to the prism surrounding the box with volume 15.
If you want to calculate it yourself stop reading here, because I will work it out now.
Volume box = a*b*c
Volume prism = 15
Volume pyramid = (b * c * a)/3
The prism has the volume of the box minus the pyramid so
abc - (abc)/3 = 15
abc - (1/3)abc = 15
(2/3)abc = 15
abc = 22.5
So 22.5 is the volume of the figure
Answer: $44,518
Step-by-step explanation:
Using the formula:
PV = P(
)
PV = present value
P = Principal
r = rate
n = number of periods
From the question :
PV = ?
P = $10,000
r = 0.04
n = 5
Substituting into the formula , we have
PV = 10,000 (
)
PV = 10,000 (
)
PV = 10,000 ( 
PV = 10,000 ( 4.451822331 )
PV = 44518.22331
Therefore :
PV≈ $ 44,518