Answer:
Q1
cos 59° = x/16
x = 16 cos 59°
x = 8.24
Q2
BC is given 23 mi
Maybe AB is needed
AB = √34² + 23² = 41 (rounded)
Q3
BC² = AB² - AC²
BC = √(37² - 12²) = 35
Q4
Let the angle is x
cos x = 19/20
x = arccos (19/20)
x = 18.2° (rounded)
Q5
See attached
Added point D and segments AD and DC to help with calculation
BC² = BD² + DC² = (AB + AD)² + DC²
Find the length of added red segments
AD = AC cos 65° = 14 cos 65° = 5.9
DC = AC sin 65° = 14 sin 65° = 12.7
Now we can find the value of BC
BC² = (19 + 5.9)² + 12.7²
BC = √781.3
BC = 28.0 yd
All calculations are rounded
Answer:
<em>The equation of the parallel line to the given equation is </em>
<em>3 x-4 y = -4 and </em>
<em>The equation of the parallel line to the given equation is </em>
<em></em>
Step-by-step explanation:
<u><em>Explanation</em></u>:-
Given equation of the line 3 x -4 y = 7 and given point ( -4 , -2 )
<em>The equation of the parallel line to the given equation is </em>
<em>3 x - 4 y = k </em>
it is passes through the point ( -4 , -2)
3 (-4) - 4 ( -2) = k
-12 +8 = k
k = -4
<em>The equation of the parallel line to the given equation is </em>
<em>3 x- 4 y = -4 </em>
<em>Dividing '4' on both sides , we get</em>
<em></em>
<em></em>
<em></em>
<em></em>
<em></em><em></em>
<u><em>Conclusion</em></u>:-
∴ <em>The equation of the parallel line to the given equation is </em>
<em>3 x- 4 y = -4 </em>
<em>and </em>
<em>The equation of the parallel line to the given equation is </em>
<em> </em>
a >= 200
5 a + 2.5 c <=1500
Step-by-step explanation:
Step 1 :
Let c be the number of child t shirt and a be the number of adult t-shirts
Given the cost of adult t-shirt is $5 and the cost of child t-shirt is $2.50
Step 2 :
Inequality 1
Given that Jerome needs at least 200 adult t-shirts .
So the minimum quantity of adult t-shirts should be 200
Hence we have a >= 200
Step 3 :
Inequality 2
Given that the total cost should be less that $1500
We have,
5 a + 2.5 c <=1500
Answer:38
Step-by-step explanation:if you take 24 and subtract the five she added, it gives you 19 and since she divided it by two you would multiply it by two to get the original number she was thinking of
Hope this helps :)
It equals 10 000
10 000 ×10 000=100 000 000
