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just olya [345]
3 years ago
12

Austin has $75 to spend on sporting goods. He wants to buy a soccer ball for $12 and spend the rest of the

Mathematics
1 answer:
MrMuchimi3 years ago
3 0

Answer:

s = 3 He can only but up to 3 pairs of shorts, with 3 dollars left over.

Answer is 12 + 3s <= 75

Step-by-step explanation:

$75 - $12 = $63

$63 / $19 = $3.3157894 about 3

$3 * $19 = $57

$57 + $12 = $69

$72 - $69 = $3

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Erica is participating in a road race. The first part of the race is on a 5.2-mile-long straight road-oriented at an angle of 25
kap26 [50]

Answer:

6.31 mi

Step-by-step explanation:

The diagram below explains the solution better.

From the diagram,

C = starting point of the race.

A = end of the first part of the race.

B = end of the race.

Using Cosine rule, we can find the straight-line distance between the starting point and the end of the race.

Cosine rule states that:

a^2 = b^2 + c^2 - 2bc[cos(A)]

where A = angle A = <A

Given that

b = 5.2 miles

c = 2.0 miles

<A = 115° (from the diagram)

Hence,

a^2 = 5.2^2 + 2.0^2 - 2*5.2*2.0[cos(115)]\\\\a^2 = 27.04 + 4 - 20.8[cos(115)]\\\\a^2 = 31.04 + 8.79\\\\a^2 = 39.83\\\\a = \sqrt{39.83}\\ \\a = 6.31 mi

The straight-line distance between the starting point and the end of the race is 6.31 mi

4 0
3 years ago
How are gallons and fluid ounces related
Leno4ka [110]
They are both liquid measurements
6 0
3 years ago
Pls help!!!!!!!!!!!!!!!!!!
pochemuha

Answer:

x = 8

Step-by-step explanation:

All sides are equal in terms of symmetry, such as the 5 and 5 opposite the angle 120 that repeats itself at the centre 3 times

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