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3 years ago

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A gym charges $30 per month plus $4 extra to swim in the pool for an hour. Because a member has just $50 to spend at the gym eac

h month, the member can swim at most 5 hours. Find the inequality

1 answer:

Rudik [331]3 years ago

3 0

Answer:

$50\geq $30 + $4$

Step-by-step explanation:

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In ΔABC, the lengths of a, b, and c are 22.5 centimeters, 18 centimeters, and 13.6 centimeters, respectively.

Irina-Kira [14]

Given the values of the three sides of the triangle, we can apply the Cosine Law to find the angles of the triangle. Recall that for we can express the value of c through the equation below.

$c^{2} = a^{2} + b^{2} - 2abcosC$

Rearranging this equation, we can find the value ∠C as shown below.

$\cos C = \frac{a^{2}+b^{2}-c^{2}}{2ab}$
$C = cos^{-1} (\frac{a^{2}+b^{2}-c^{2}}{2ab})$

We can apply the same reasoning for finding the value of ∠B as shown.

$B = cos^{-1} (\frac{a^{2}+c^{2}-b^{2}}{2ac})$

Plugging in the values of the sides (see image attached) from the given. It will now be straightforward to compute for ∠B and ∠C.

$C = cos^{-1} (\frac{22.5^{2}+18^{2}-13.6^{2}}{2(22.5)(18)})$
$C \approx 37.19$

$B = cos^{-1} (\frac{22.5^{2}+13.6^{2}-18^{2}}{2(22.5)(13.6)})$
$B \approx 53.13$

Answer: ∠C = 37.19° and ∠B = 53.13°

7 0

3 years ago

Read 2 more answers

Ilia_Sergeevich [38]

Answer:

2

Step-by-step explanation:

Given

See attachment for chart

Required

Number of off days

To do this, we simply calculate the expected value of the chart.

This is calculated as:

$E(x) = \sum x * f$

Where

x = days

f = chances

So, we have:

$E(x) = 0* 0.3 + 1 *0.2 + 2 * 0.25 + 3 * 0.2 + 4 * 0.02 + 5 * 0.01 + 6 * 0.01 + 7 * 0.01$

$E(x) = 1.56$

$E(x) \approx 2$

3 0

2 years ago

Will mark brainliest!! Please answer ASAP

rusak2 [61]

Answer:

y=5

Step-by-step explanation:

y= 5 is always parallel to x axis

8 0

3 years ago

Can someone help me on this?

dezoksy [38]

Answer:

C

Step-by-step explanation:

divide 22.5 by 10

=2.5

so

f=2 1/2c

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3 years ago

Harley is loading 625 bagsof cement onto small pallets.Each pallet holds 5 bags.How many pallets will harley need?

arlik [135]

625 ÷ 5 = 125;

Harley will need 125 pallets

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3 years ago

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