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tamaranim1 [39]
3 years ago
8

Please help me on this I’m super stuck

Mathematics
1 answer:
erastova [34]3 years ago
6 0

Answer:

<u>BC = 3.1666</u>

Step-by-step explanation:

To solve this you need to know that cosine∅ = adjacent/hypotenuse. We already know that hypotenuse = 5 and that ∅ = 70*. By substituting these in you will get cosine 70* = adjacent/5. Evaluate cosine 70* on the calculator and get 0.633... Multiply both sides by 5 and get adjacent is about equal to 3.1666. Because BC is the adjacent side of the triangle, this is the length of BC.

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Garrett and Carter went to the movies last weekend. Together they bought 2 drinks and 2 popcorns. They spent a total of $12.50.
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The cost of one drink is $2.50 and cost of one popcorn is $3.75

<u><em>Explanation</em></u>

Suppose, the cost of one drink is x dollar and cost of one popcorn is y dollar.

Given that, total cost for 2 drinks and 2 popcorns is $12.50  and  total cost for 6 drinks and 5 popcorns is $33.75

So, the system of equations will be......

2x+2y=12.50 ..................................... (1)\\ \\ 6x+5y= 33.75 ..................................... (2)

Multiplying equation (1) by -3 , we will get.....

-3(2x+2y)=-3(12.50)\\ \\ -6x-6y=-37.50 ..................................... (3)

Now, adding equation (2) and equation (3) , we will get ............

5y-6y=33.75-37.50\\ \\ -y=-3.75\\ \\ y=3.75

Plugging this y=3.75 into equation (1) ......

2x+2(3.75)=12.50\\ \\ 2x+7.50=12.50\\ \\ 2x=12.50-7.50=5\\ \\ x=\frac{5}{2}=2.50

So, the cost of one drink is $2.50 and cost of one popcorn is $3.75


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3 years ago
Does there appear to be a proportional relationship between the radius and circumference of a circle? Explain or show your reaso
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Answer:

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Step-by-step explanation:

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3 years ago
Rita and tina make $11 an hour rita worked r hours and tina worked t hours
nlexa [21]
As the price per hour worked is $11, then 11 is the coefficient (or multiplier) of the number of hours Rita and Tina had worked. As for Rita, she will receive an extra $32 flat wage for her total overtime hours, so it will not be multiplied any further. Expressing their total wages mathematically:

Rita's total wages = 11r + 32

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Answer:

Step-by-step explanation:

A dependent variable in an expression is one whose value can be determined only when the value of other variable (i.e independent) is known.

A. The cost at the fitness center depends on the number of months (x).

The cost is the dependent variable, and number of months (x) is the independent variable.

f(x) = 100 + 40x

Example, the cost paid for 12 months can be determined as;

f(12) = 100 + 40(12)

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Thus, $580 would be paid for 12 months at the fitness center.

B. The lettuce is sold at $1.69 per pound. The cost depends on the number of pounds of lettuce bought.

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Which quadratic relation has a y-intercept of 8?
Tpy6a [65]

Answer:

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Step-by-step explanation:

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