Answer:
2 days
Step-by-step explanation:
We need to pay $63.68 per DAY and $0.10 per MILE, while staying BELOW the budget of $170... therefore,
We are also already given m, which is <u>250 miles</u> (The amount she plans to travel.) Solve for d.
- $63.68d + $0.10(<u>250</u>) < $170
- $63.68d + $25 < $170
- $63.68d < $145
- d < 2.777
In other words, the theoretical maximum amount of time she can rent before exceeding her budget is 2.777 days. That's not practical though so we will round the final answer DOWN to 2 days to be safe and stay within budget.
Answer:
410.1 m
Step-by-step explanation:
In a right triangle, the ratio of the side opposite an acute angle to the side adjacent to that acute angle is the tangent of the angle.
Tan = Opposite/Adjacent
__
<h3>setup</h3>
tan(C) = BA/BC
tan(34°) = BA/(608 m) . . . . . . using the tangent relation with given values
<h3>solution</h3>
Multiplying both sides of the equation by (608 m) gives ...
(608 m)tan(34°) = BA
BA ≈ 410.101 m ≈ 410.1 m . . . . . rounded to tenths
_____
<em>Additional comment</em>
Other relations in the right triangle are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
These relations are collected in the mnemonic SOH CAH TOA.
9514 1404 393
Answer:
∠GDH = ∠GHD = 50°
Step-by-step explanation:
Angles FGD and EDG are alternate interior angles, so are congruent. That means angle EDG is 100°. The angle sum theorem tells us ...
∠EDG = ∠EDH +∠HDG
100° = 50° +∠HDG
50° = ∠HDG
You can find the measure of ∠DHG a couple of different ways. It is an alternate interior angle congruent to ∠EDH, so is 50°. It is one of two remote interior angles that have a sum equal to the exterior angle FGD, so is ...
∠DHG = ∠FGD -∠HDG = 100° -50° = 50°
So, angles DHG and HGD both have measures of 50°. When a triangle has two angles with the same measure, it is an isosceles triangle.