30 questions worth 2 points, and 10 questions worth 4 points.
Answer: 0.43ft²
Step-by-step explanation:
You didn't really specify part A but In assuming that the question you posted is part A. Anyways in this case, area will be calculated by multiplying the length by the width.
Since the piece of wood has a length that is 2.45 feet and width that is 2.097 inches, then the area will be:
= 2.45 × 0.17475
= 0.4281375 ft²
= 0.43ft² to nearest hundredths
Note 1 foot = 12 inches
Therefore, 2.097 inches = 2.097/12 = 0.17475 feet
2/2, 4/4, 5/5, 7/7, or any fraction with the same numerator and denominator will be equivalent. All fractions equal 1.
Answer:
The change in the standard of living, measured by growth in real GDP per person, is 0.1356%
Step-by-step explanation:
Given,
In the current year,
Population = 31.5 million,
Real GDP = $814 million,
So, the real GDP per person =
≈ 25.841
In the previous year,
Population = 31 million,
Real GDP = $800 million,
So, the real GDP per person =
≈ 25.806
Hence, change percentage = 



≈ 0.1356 %
Given:
In the given circle O, BC is diameter, OA is radius, DC is a chord parallel to chord BA and
.
To find:
The
.
Solution:
If a transversal line intersect two parallel lines, then the alternate interior angles are congruent.
We have, DC is parallel to BA and BC is the transversal line.
[Alternate interior angles]


In triangle AOB, OA and OB are radii of the circle O. It means OA=OB and triangle AOB is an isosceles triangle.
We know that base angles of an isosceles triangle are congruent.
[Base angles of an isosceles triangle]


In triangle AOB,





Therefore, the measure of angle AOB is 120 degrees.