42/48 in simplest form is 7/8
Answer is D :)
hope it helps
Hi there!
In order to solve, we'll need to use the trigonometry function tangent, which is opposite/adjacent.
The side opposite the angle is h, our height.
The side adjacent the angle is 41.
The equation is:
tan(58) = h/41
After multiplying both sides by the tangent of 58, you get that the height is 66m.
Answer: t = 6
Step-by-step explanation:
To isolate t, divide by -3
Answer:
$130
Step-by-step explanation:
You want to know Brenda and Hazel's combined money when the ratio of their remaining balances is 1 : 4 after Brenda spent $58 and Hazel spent $37. They had the same amount to start with.
<h3>Setup</h3>
Let x represent the total amount the two women started with. Then x/2 is the amount each began with, and their fnal balance ratio is ...
(x/2 -58) : (x/2 -37) = 1 : 4
<h3>Solution</h3>
Cross-multiplying gives ...
4(x/2 -58) = (x/2 -37)
2x -232 = x/2 -37 . . . . . . eliminate parentheses
3/2x = 195 . . . . . . . . . . . . add 232-x/2
x = (2/3)(195) = 130 . . . . . multiply by 2/3
Brenda and Hazel had $130 altogether before their purchases.
__
<em>Alternate solution</em>
The difference in their spending is $58 -37 = $21. This is the same as the difference in their final balances. That difference is 4-1 = 3 "ratio units", so each of those ratio units is $21/3 = $7. Their ending total is 1+4 = 5 ratio units, or $35. The total they started with is $58 +37 +35 = $130.
