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: Its surface covers 1400 cm²
Explanation:
Since the length of painting = 40 cm
Breadth of painting = 35 cm
Since we know that area of rectangle is product of dimensions.
∴ Area of painting = length × breadth
= 40 cm × 35 cm
= 1400 cm²
∴ Its surface cover 1400 cm².
There's no decimal so this doesn't need to be rounded.
If you mean 5.292cm, that's already rounded, as the thousandth place is the third place.
Answer:
4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.
Step-by-step explanation:
<u>Numbers:</u>
<u>Let's see which option is correct:</u>
-1.1 is a rational number, 4.5 and -6 are integers, and 12 is a whole number.
- 4.5 in not an integer, it is incorrect
-1.1 and -6 are rational numbers, 12 is an integer, and 4.5 is a whole number.
- 4.5 is not a whole number, this is incorrect
4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.
12 is a rational number, -1.1 and -6 are integers, and 4.5 is a whole number.
- -1.1 is not and integer, 4.5 is not a whole number, this is incorrect
