Answer:
1. $82,500
2. 169 : 110
Step-by-step explanation:
The computation is shown below:
Given that
1. Ratio between two computers is 3:2
And the first computer cost is $55,000
Let us assume the price of the second computer be x.
As we know that
Product of extremes = Product of mean.
2 : 3 :: 55000 : x .
Now cross mutiplication is to be done
2x = $55,000 × 3
x = $1,650,000 ÷ 2
= $82,500
2. Now if the price of the 2nd computer rised by $2,000
So the new cost would be
= $82,500 + $2,000
= $84,500
Now the ratio would be
= $55,000 : $84,500
= 169: 110
Answer:
96
Step-by-step explanation:
IT IS CONVENTIONAL to let the letter s symbolize the length of an arc, which is called arc length. We say in geometry that an arc "subtends" an angle θ; literally, "stretches under."
Now the circumference of a circle is an arc length. And the ratio of the circumference to the diameter is the basis of radian measure. That ratio is the definition of π.
π = C
D .
Since D = 2r, then
π = C
2r
or,
C
r = 2π .
arc lengthThat ratio -- 2π -- of the circumference of a circle to the radius, is called the radian measure of 1 revolution, which are four right angles at the center. The circumference subtends those four right angles.
arc length
Radian measure of θ = s
r
Thus the radian measure is based on ratios -- numbers -- that are actually found in the circle. The radian measure is a real number that indicates the ratio of a curved line to a straight, of an arc to the radius. For, the ratio of s to r does determine a unique central angle θ.
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Answer:
∠B and ∠F
∠F and ∠E . . . already listed in the problem statement, so may not be considered an "other pair"
Step-by-step explanation:
∠C and ∠F are vertical angles, so are congruent. Then any angle complementary to one of those will also be complementary to the other.
Likewise, ∠B and ∠E are vertical angles and congruent. Any angle complementary to one of them will also be complementary to the other. Here, ∠E and ∠F are listed as complementary, so we know ∠B and ∠F will be also.
