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3 years ago

Find the value of a. Round to the nearest tenth, if necessary. 11 24 a

Mathematics

1 answer:

Masja [62]3 years ago

3 0

Answer:

21.3

Step-by-step explanation:

It's easier to see how to do this if you transfer the 11 to the bottom of the rectangle. The look at the left triangle. It has 3 sides.

24, 11, and a.

You should be able to find a using

a^2 + 11^2 = 24^2 Expand the squares

a^2 + 121 = 576 Subtract 121 from both sides

a^2 = 576 - 121

a^2 = 455 Take the square root of both sides.

sqrt(a^2) = sqrt(455)

a = 21.33

a = 21.3

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3 years ago

A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

Greeley [361]

Answer:

The original duration of the tour is 18 days.

Step-by-step explanation:

Let

the number of days spent be T

Daily expenses be D

Initially ,

total tour expenses was 360

$D \times T=360$

$D = \frac{360}{T}$ -------------(1)

If he extends his tour for 4 days, he has to cut down his daily expenses by dollar 3

$(D + 4) \cdot(T -3) = 360$ ---------------(2)

Expanding the eqaution(2)

DT-3D + 4T -12 = 360

Substituting the value of D

$(\frac{360}{T})T -3( \frac{360}{T}) + 4T -12 = 360$

$(\frac{360}{T})T -3( \frac{360}{T}) + 4T= 360 + 12$

$(\frac{360}{T})T -3( \frac{360}{T}) + 4T= 372$

$360 - ( \frac{1080}{T}) + 4T= 372$

$( \frac{1080}{T}) + 4T= 372 - 360$

$( \frac{1080}{T}) + 4T= 12$

$1080 + 4T^2= 12T$

Solving the quadratic equation we get

T = 18 and T = -15

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Substituting in equation (1) we get

$D = \frac{360}{18}$

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3 years ago

Find the value of a. Round to the nearest tenth, if necessary. 11 24 a​

Find the value of a. Round to the nearest tenth, if necessary. 11 24 a