1mi = 5280feet
The first thing you should do in this case is to calculate the perimeter of the rectangle which will be given by:
P = 2 * L + 2 * W
Where
L = long
W = width
Calculating we have:
P = 2 * (1/4) + 2 * (1/8)
P = 1/2 + 1/4
P = 3/4 mi
To calculate this distance to feet we have to use the following expression:
(3/4) / (x) = 1/5280
answer:
<span> B) 3/4 miles divided by x= 1 mile/5280ft
</span>
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Given that the two parallel lines are crossed by a transversal line.
Given that
m∠2 = 2x + 54 and m∠6 = 6x - 11
Angle ∠2 and ∠6 are corresponding angles.
Corresponding angles are congruent.
Thus,
m∠2 = m∠6
2x + 54 = 6x - 11
flipe the equation
6x - 11 = 2x + 54
subtract 2x from both sides
6x - 2x - 11 = 2x - 2x + 54
4x - 11 = 54
adding 11 to both sides
4x - 11 + 11 = 54 + 11
4x = 65
dvide both sides by 4
4x/4 = 65/4
x = 16.2500 (round to 4 decimal places)
Part b)
We have already determined
x = 16.2500
Given
m∠2 = 2x + 54
substitute x = 16.2500 in the euation
= 2(16.2500) + 54
= 86.5°
As angle ∠2 and angle ∠1 lie on a straight line. Hence, the sum of their angles must be 180°.
i.e.
m∠1 + m∠2 = 180°
substituting m∠2 = 86.5° in the equation
m∠1 + 86.5° = 180°
subtracting 86.5° from both sides
m∠1 + 86.5° - 86.5° = 180° - 86.5°
m∠1 = 93.5°
Therefore, the measure of angle m∠1 is:
Answer:
$2100
Step-by-step explanation:
1/3 of 4500 is 1500
to find 1/3 of a number is to multiply by 1/3
1/3 * 4500 = 1500
$1500 is for savings
subtract 1500 from 4500
4500 - 1500 = 3000
the remaining money is $3000
to find 50% of something, divide by 2
3000/2 = 1500
$1500 is spent on food.
20% of 3000 is 600
to find 20% of something, multiply the decimal value (0.2)
0.2 * 3000 = 600
$600 are spent on rent.
$450 leftover
1500 + 600 = 2100
Food and rent cost $2100
hope this helps:)
Answers:
9). 45/9 = 5
10). 2 *14² = 2* 196 = 392
11). 5 * 12 * 7 = 60 * 7 = 420
12). 1/2 * 9 * 12 = 54
13).1/2(24)(9 + 21) = 12 * 30 = 360
14). 14 * 13 = 182
15). 16 * 8 * 5 = 640
16). 75/5 = 15
17). 2(5²) = 2 * 25 = 50
18). 8(2.5 + 4.2) = 8 * 6.7 = 53.6
19). 1/2(3)(5 + 6) = 33/2 = 16.5
20). 3.14(6²) = 3.14 * 36 = 113.04
