The hypotenuse is 20 ft
Step-by-step explanation:
- Step 1: This is a right triangle, so the trigonometric ratio cosine can be used to find the length of the hypotenuse. Given side opposite to ∠B, AC = 18 ft and ∠A = 40°,
cos 40° = adjacent side/hypotenuse = AC/AB = 18/AB
⇒ AB = 18/cos 40° = 18/0.76 = 23.5 ft ≈ 20 ft
Answer:
- Yolanda is 28
- Zachary is 21
Step-by-step explanation:
Let y represent Yolanda's age now, and let d represent their difference in ages. Then Zachary is now y-d years old.
When Yolanda was Zachary's age (now), Zachary was (y-d) -d. Yolanda is now twice that age:
y = 2(y -2d)
4d = y . . . . . . eliminate parentheses, add 4d-y
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When Zachary is as old as Yolanda is now, Yolanda will be y+d and the sum of their ages will be 63:
y + (y+d) = 63
2y + d = 63
Using the expression for y from above, we get ...
2(4d) +d = 63
d = 7 . . . . . . . . divide by 9
y = 4d = 28 . . . . Yolanda's current age
y-d = 21 . . . . . . . Zachary's current age
Answer:
15
-40
Step-by-step explanation:
A negative times a negative is a positive.
A negative times a positive is a negative.
Answer:
The real distance is 260 miles
Step-by-step explanation:
From the question;
1.5 inches in map is 26 miles
Thus;
15 inches will be x miles
To get the value of x, we do a cross-multiplication
we have this as:
15 * 26 = 1.5 * x
x = (15 * 26)/1.5
x = 10 * 26 = 260 miles
