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Zigmanuir [339]
3 years ago
13

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables.

Mathematics
1 answer:
Pepsi [2]3 years ago
8 0

Answer:

x=20

y=10\,\sqrt{3}

Step-by-step explanation:

In the triangle we have the following trigonometric equations:

tan(60^o)=\frac{opposite}{adjacent} \\\sqrt{3} =\frac{y}{10} \\y=10\,\sqrt{3}

and also:

cos(60^o)=\frac{adjacent}{hypotenuse}\\\frac{1}{2} =\frac{10}{x}\\x=20

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14 is .608, roundedto the nearest percent 14 is 61% of 23
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3 years ago
Maria is purchasing sandwiches for her team at work. Each sandwich costs $6.25 and there is a delivery fee of $15.00, all taxes
Oduvanchick [21]

Answer:

The maximum number of sandwiches she can buy is 24.

Step-by-step explanation:

We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:

cost(x) = 15 + 6.25*x

Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:

cost(x) \leq 170\\15 + 6.25*x \leq 170\\6.25*x \leq 170 - 15\\x \leq \frac{155}{6.25}\\x \leq 24.8

Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.

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3 years ago
Which of these could NOT considered an asset <br> A.cash<br> B.lease<br> C.vehicle <br> D.house
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Read 2 more answers
I have no idea how to do this please help
algol [13]
\begin{gathered} a)slope\colon7 \\ b)y-intercept\colon-6 \end{gathered}

1) As we can see this is a Linear Equation written in the Slope-intercept form:

y=mx+b

Note that "m" stands for the slope of the line, i.e. the measure of how steep a line is.

In the given equation, we can state that the slope is always accompanying the "x" therefore, the slope is m= 7

2) In addition to this, the y-intercept also called the Linear Coefficient is given by the letter"b" and represents the y-coordinate that the graph intercepts. Thus the y-intercept is -6

So we can state the following as the answers:

\begin{gathered} a)slope\colon7 \\ b)y-intercept\colon-6 \end{gathered}

And that is the answer

8 0
1 year ago
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