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posledela
3 years ago
7

A family took a trip. They spent $90.71 for gasoline, $153.00 on meals, $197.00 on amusements, and $73.38 on miscellaneous expen

ses. How much did the trip cost?
Mathematics
1 answer:
Romashka [77]3 years ago
4 0
Hello!

Theoretically, the actual TRIP cost $90.71, because the extra money spent was on other things other than the transportation, which is the main part of the trip.

but in total, DURING that trip, they spent $514.09

I hope this helps, and have a nice day!
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part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.​
Nat2105 [25]

Answer:  \bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}

<u>Step-by-step explanation:</u>

Pythagorean Theorem is: a² + b² = c²   , <em>where "c" is the hypotenuse</em>

<em />

9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}

Note: 4² + (8√2)² = hypotenuse²   →   hypotenuse = 12

10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}

Note: 12² + opposite² = 20²   →   opposite = 16

11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}

Note: adjacent² + 5² = 6²   →   adjacent = √11

12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}

Note: adjacent² + 7² = (13√2)²   →   adjacent = 17

5 0
3 years ago
the height in feet above the ground of an arrow after it is shot can be modeled by y=-16r^2+63r+4.Can the arrow pass over a tree
miss Akunina [59]

Answer:

yes

Step-by-step explanation:

y=-16r^2+63r+4

maximum value of y :

y'=0

-32r +63=0

r= 63/32

y = -16(63/32)²+63(63/32)+4

= -4 + 124 + 4 = 124 ft

124 > 68

the Arrow can pass over the tree

7 0
3 years ago
HELPPPPPPPP!!!!!!!!!!
Novosadov [1.4K]

Step-by-step explanation:

98 = 188t - 16t^2

-16t^2 + 188t = 98

-16t^2 + 188t - 98 = 0

8t^2 - 94t + 49 = 0

Use the quadratic formula with a = 8 , b = -94 , c = 49 to get the solutions

t = [(47 - root 1817) / 8]≈ 0.55

and

t = [(47 + root 1817) / 8] ≈ 11.20

8 0
3 years ago
Two positive, consecutive, odd integers have a product of 143. what is the equation and the greater integer?
vaieri [72.5K]
The product<span> of </span>two consecutive odd<span> numbers is </span>143<span>. Find the numbers. (Hint: if the first </span>odd<span> number is x, what is the next </span>odd<span> number?) ... Ad: You enter your algebra </span>equation<span>or inequality - Algebrator solves it step-by-step while ... We </span>need two<span> numbers that add up to </span>2<span>. ... The next </span>consecutive odd integer<span> is , so</span>
5 0
3 years ago
Mr. warren has a bag of nails assorted lengths. he asks his sons paul and tim to sort them by length. paul pours 3/4 of the bag
8090 [49]

Answer:

Step-by-step explanation:

he has 1/4 remaining as he has only used 3/4

5 0
2 years ago
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