Answer:
9 cm
Step-by-step explanation:
Arc length = θ/360 × 2πr
A circle has an arc with a measure of 120 degrees and a lenght of 3π cm. What is the diameter of the circle
Hence,
3π = 120/360 × 2πr
Diameter = 2r
3π = 1/3 × 2πr
Cross Multiply
9π = 2πr
2r = 9π/π
Note that :
Diameter = 2r
Hence,
Diameter = 9 cm
Area of Triangle: bh1/2[base x height x 1/2(divide by 2)]
Plug in- 10 x 7 x 1/2
70 x 1/2
35
Answer:
1.5p + 3p + 2.5p
Step-by-step explanation:
This expression, 1.5p + 3p + 2.5p, will represent the amount of money received when p people buy one of each food item.
Since the price of each is the coefficient for p, this will represent how much money will be gained from each food item. All 3 terms will be added together to represent the total amount of money gained from selling all 3 items.
Using proportions, it is found that $15.00 in quarters weigh 29.4 grams less today than before 1965.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount.
In this problem, a quarter is worth $0.25, hence $15.00 in quarters is composed by 60 quarters, as:
Before 1965, the total weight was of:
60 x 6.25 = 375 grams.
After that, the total weight is of:
60 x 5.76 = 345.6 grams.
Hence the difference is:
375 - 345.6 = 29.4.
$15.00 in quarters weigh 29.4 grams less today than before 1965.
More can be learned about proportions at brainly.com/question/24372153
Answer:
Write the expression (−15.5) + 35.5 in a different way, using the commutative