Answer:
123 m²
Step-by-step explanation:
Surface area of the object = surface area of the bigger rectangular prism + (surface area of the smaller rectangular prism - area of the smaller rectangular prism base)
Surface area of the bigger rectangular prism:
L = 7 m
W = 3 m
H = 3 m
S.A = 2(LW + WH + LH)
S.A = 2(7*3 + 3*3 + 7*3)
S.A = 102 m²
Surface area of the smaller rectangular prism:
L = 3 m
W = 3 m
H = 1 m
S.A = 2(LW + WH + LH)
S.A = 2(3*3 + 3*1 + 3*1)
S.A = 30 m²
Area of the base of the smaller rectangular prism = L*W
L = 3 m
W = 3 m
Area = 3*3 = 9 m²
Surface area of the object = 102 + (30 - 9)
= 102 + 21
= 123 m²
Using relations in a right triangle, it is found that the length of AC is of 6.43 inches.
<h3>What are the relations in a right triangle?</h3>
The relations in a right triangle are given as follows:
- The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
- The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
- The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.
In this problem, the length of side AC is b, which is opposite to the angle of 40º, while the hypotenuse is of 10 in, hence:
Using a calculator:
More can be learned about relations in a right triangle at brainly.com/question/26396675
Answer:
not enogugh information
Step-by-step explanation:
Answer:
m<I=57
m<J=57
m<K=66
Step-by-step explanation:
All the angles in a triangle add up to 180 degrees.
m<I= 3x+18
m<K= 5x+1
m<I is congruent to m<J.
We can plug the information we already know into the equation.
3x+18+3x+18+5x+1=180
11x+37=180
Subtract 37 from both sides.
11x=143
x=13
Now, we can find out what the angles are.
m<I= 3x+18
m<I=3(13)+18
m<I=39+18
m<I=57
We know that m<I=m<J, so they are both equal to 57 degrees.
m<J=57
Now for m<K:
m<K=5x+1
m<K=5(13)+1
m<K=65+1
m<K=66
We know this is correct because 57+57+66=180.
Answer:
1/3
Step-by-step explanation:
Perpendicular lines have a slope that is the opposite reciprocal of the original line slope. To find it, first flip the fraction (-3 to -1/3). Then, add/get rid of the negative sign based on if it was there in the first place (-1/3 to 1/3). Thus, the slope would be 1/3.
Hope this helped :)
