The rounded value is option B) 6.03 which is rounded to the nearest hundredth.
<u>Step-by-step explanation:</u>
- To find the value of 8.3 x 24.2 x 0.03, we need to multiply the given numbers to get a decimal value.
- And then, after getting the value of 8.3 x 24.2 x 0.03 it should be rounded to the nearest hundredth.
<u>So, let's multiply the numbers first :</u>
8.3 × 24.2 × 0.03 = 6.0258
The value is 6.0258
<u>To round the value 6.0258 to the nearest hundredth :</u>
- The first number next to the decimal point represents the tenth.
- The second number next to the decimal point is the hundredth.
- The third number next to the decimal point is thousandth.
Therefore, to round the value to the nearest hundredth, look for the thousandth number is either less than 5 or greater and or equal to 5.
If, thousandth place is greater or equal to 5, then the hundredth number should be increased by 1.
The hundredth is 6.02 and the number in the thousandth place is 5. So add 1 to the hundredth place.
The value is rounded to 6.03 to the nearest hundredth.
Answer: the distance of the base of the house to the foot of the ladder is 6.84 feet
Step-by-step explanation:
The scenario is shown in the attached photo.
Right angle triangle ABC is formed when the ladder leans against the wall of the house.
AC = the height of the ladder
AB = x feet = distance of the base of the house to the foot of the ladder
BC is the wall of the building.
To determine x, we will apply trigonometric ratio
Cos # = adjacent/hypotenuse
Where
# = 70 degrees
Hypotenuse = 20
Adjacent = x
Cos 70 = x/20
x = 20cos70
x = 20 × 0.3420
x = 6.84 feets
I think the answer to the expression would be D. (10 - 2) x 4 because (10 - 2) would be multiplied 4 times, which means it would be four times greater. I hope this made sense and also helped you in some way.