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3 years ago

A traffic yield sign is in the shape of an equilateral triangle. If each side is 36 inches,

Mathematics

1 answer:

ehidna [41]3 years ago

5 0

Answer:

31.2 inches

Step-by-step explanation:

Draw a line representing the height of the triangle, and divide it into 2 triangles.

Apply Pythagoras Theorem on one of the smaller triangles first.

$h = \sqrt{ {36}^{2} - {(36 \div 2)}^{2} } \\ h = \sqrt{ {36}^{2} - {18}^{2} } \\ h = \sqrt{972} \\ h = 31.17691...$

h = 31.2 inches (rounded to the nearest tenth)

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1. Positive<br> 2. Negative<br> 3. Zero<br> 4. Undefined

Mamont248 [21]

Answer:

zero

Step-by-step explanation:

zero graphs are lines that are horizontal.

8 0

3 years ago

What is the inequality?

vlabodo [156]

Answer:

y < 0.25x + 4

Step-by-step explanation:

The dotted line indicates that the inequality is either a greater than(>) or less than(<). This is because the answer does include the set of points along the line.

We are looking to find an inequality such that any point below that is considered a solution. Thus, after finding the line's equation in slope-intercept form, we can replace the = with <.

Solving for the line:

Take any 2 points and determine the slope. I used (-8,2) and (0,4). The slope using $\frac{y_2-y_1}{x_2-x_1}$ results in $\frac{1}{4}$ or 0.25. As we can see visually from the graph, the y-intercept is (0,4). Thus, the equation of the line is y = 0.25x + 4.

Now all we do is replace the = with the < and we have our answer:

y < 0.25x + 4

4 0

3 years ago

Read 2 more answers

Solve for x

Ulleksa [173]

Answer:

C. x = 1

Step-by-step explanation:

To solve this problem the best way is to use the quadratic formula. First make everything equal to 0 by adding 3 to both sides.

3x^2 - 6x + 3 = 0

The quadratic formula is: $\frac{-b\pm\sqrt{b^2-4ac} }{2a}$ . Substitute the values of a, b, and c into the formula. Keep in mind:

a = 3
b = -6
c = 3

$\frac{-(-6)\pm\sqrt{(-6)^2-4(3)(3)} }{2(3)} \rightarrow \frac{6\pm\sqrt{36-4(9)} }{6} \rightarrow \frac{6\pm\sqrt{0} }{6} \rightarrow \frac{1\pm0}{1} \rightarrow 1$

Therefore, x = 1.

8 0

4 years ago

Scale Drawings question

Nimfa-mama [501]

Answer:

138 is the answer

Step-by-step explanation:

In order to find the perimeter, we use this formula

P=2(l+w)

And to find the width, we use this formula

w = P/2 - L = 18/2 - 3 = 6

So the width is 6

3 × 6 = 18

So thats why the perimeter of the top triangle is 18

We do 21 ÷ 3 = 7, 7 = scale factor

To find the perimeter of the bottom triangle, we do

the width of the top rectangle times 7

so 6 × 7 = 48

So the perimeter for the bottom triangle is

P=2(l+w)=2·(48+21)=138

6 0

3 years ago

A street vendor in NYC sells burgers and hotdogs. The burgers cost her $0.37 and the hotdogs cost her $0.45. Her daily supplies

Oxana [17]

So, the first thing you should do is break it down. First how much space can she have, and how many hotdogs and hamburgers would she have know the amount of space. Then you would find the amount of money she would make if she sold the food, and how much she would spend for inventory. Hope this helps!

4 0

3 years ago