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Setler [38]
1 year ago
9

Can someone solve this?

Mathematics
1 answer:
romanna [79]1 year ago
4 0

Answer:

u=4

v=2√3

Step-by-step explanation:

The 30-60-90 triangle theorem states that the shortest side of a triangle is half of the hypotenuse, so 2*2=4. So, the hypotenuse, <em>u</em>, is 4.

The longest leg is √3 times greater than the shortest leg, so 2*√3=2√3. So, the longest leg, <em>v</em>, is 2√3.

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The measure of an angle that is 73°.what is the measure of its complementary angle
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Answer:

Step-by-step explanation:

in complementary angle sum of two angle is always 90 degree

let the other angle be x

x+73=90

x=90-73

x=17 degree

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Step-by-step explanation:

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You pay a processing fee and a daily fee to rent a beach house. the table shows the total cost of renting the beach house for di
liberstina [14]

Answer:

a) The daily fee is $102

The processing fee is $42

b) The maximum number of days the beach house can be rented with no more than $1,200 is (by rounding down) 11 days

Step-by-step explanation:

The data given in the table are as follows;

Number of days (t)  {}                       Total cost, T (dollars)

2               {}                                       246

4   {}                                                   450

6  {}                                                    654

8   {}                                                   858

Whereby, we have that the processing fee is P, and the daily fee is D, we can write;

Total cost, T = D × t + P

From the table, we have;

When t = 2 days and T = $246, the above equation for total cost becomes;

$246 = D × 2 + P = 2·D + P

246 = 2·D + P.....(1)

Similarly, when t = 6 days, and T = $654, we have;

$654 = D × 6 + P = 6·D + P

654 = 6·D + P.....(2)

Subtracting equation (1) from equation (2) gives;

654 - 246 = 6·D + P - (2·D + P)

408 = 4·D

D = 408/4 = 102

The daily fee, D = $102

From equation (1), we have;

246 = 2·D + P = 2 × 102 + p

p = 246 - 2 × 102 = 42

P = $42

The processing fee, P = $42

b) Given that the maximum amount available (total amount) for spending on the beach house rental = $1200, we have;

T = D × t + P

Where, D = $102 and P = $42 are constants and T = $1,200, we have;

1,200 = 102 × t + 42

t = (1200 - 42)/102 ≈ 11.35 days

Given that we can only rent the beach house for a whole number of days, the number of days the beach house can be rented is therefore, by rounding down, t = 11 days.

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