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GenaCL600 [577]
3 years ago
13

The hypotenuse of a 30-60-90 triangle is 12 inches long. How long is the leg opposite the 60 degree angle?

Mathematics
1 answer:
atroni [7]3 years ago
8 0

Answer: D

Step-by-step explanation:

Remember that the Opposite side to an angle is in the same order of length as the Angle. So, 90 = 12, and  60 = 8. Using Cross multiplication, this answer can be solved:

\frac{90}{12} = \frac{60}{n}  , 60 x 12 = 720, and 90 x 8 = 720. N = 8.

\frac{90}{12} = \frac{30}{n} , 30 x 12 = 360, and 90 x 4 = 360. N = 4

You might be interested in
Write the equation in y-intercept form slope 2 passes through point (5,-2)
Alenkinab [10]
<h2>Answer</h2>

The equation is y = 2x - 12

<h2>Explanation</h2>

Equation in slope intercept form is

y = mx + b

Where,

m = slope

b = y-intercept

Putting the value of slope in this equation:

y = 2x + b

From this we can solve the equation for b

b = y - 2x

b = -2 - 2(5)

b = -12

Now, the equation of y-intercept becomes

y = 2x - 12


5 0
4 years ago
Blaine buys 2 books and the total cost is $24.18. What is the constant of proportionality that relates the cost in dollars, y, t
cestrela7 [59]

Answer:

$ 12.09

Step-by-step explanation:

formula Y = KX

Where; y = $ 24.18

            x = 2 books

            k = constant of proportionality

Step 1. Do the equation based on the formula

Y = kx

$24.18 = k2

Step 2.  Divide by 2

$24.18/2 = k2/2

k = $12.09 (answer)

5 0
4 years ago
Quiz 3
erica [24]

Complete question :

The data below represents the number of customers at each Slurpee Sam's Spaghetti Shop. 24, 25, 29, 30, 31, 31, 32, 34, 34. Which box plot correctly summarizes the data?

Answer:

B

Step-by-step explanation:

BOX plots provide information about :

Minimum, Lower quartile, Median, Upper quartile and maximum value of a dataset.

Given the dataset :

24, 25, 29, 30, 31, 31, 32, 34, 34

Minimum value = 24 (Lowest value in the dataset)

First quartile (Q1) = 1/4(n+1)th term

Q1 = 1/4 * 10 = 10/4 = 2.5th term = (25+29)/2 = 27

Second quartile ; median (Q2) = 1/2(n+1)th term

Q2 = 1/2(n+1)th term = 1/2(10) = 5th = 31

Third quartile (Q3) = 3/4(n+1)th term

Q3 = 3/4(n+1)th term = 3/4(10) = 30/4 = 7.5th term = (7th +8th) term = (32 + 34) / 2 = 66/2 = 33

Maximum value = 34 (Highest value in the dataset)

First dot = minimum value

Last dot = maximum value

First line of box = QI

mid line = median

End line of box = Q3

4 0
3 years ago
I don’t know if it’s wrong or not
faltersainse [42]
I actually think that it is 50
5 0
3 years ago
Please help me. I really appreciate it if you answered. Thank you! &lt;3
exis [7]

Answer:

$3100 is invested at 9%

$4900 is invested at 11%

Step-by-step explanation:

Let's take "x" be the amount invested at 9%.

(x + 1800) is invested in another account at 11%.

The interest amount earned by the two accounts is $818.

Here we can use the simple interest formula and find the amount invested in each account.

Simple interest (I) = , where P- is the principal , N is the number of years and R is the interest rate.

Simple interest =

0.09x + 0.11(x+1800) = 818

Now we have to simplify and find the value of x .

Use the distributive property and simplify the second term.

0.09x + 0.11x + 198 = 818

0.2x + 198 = 818  

0.2x =818 - 198

0.2x = 620

x = 620/0.2

x = 3100.

So $3100 is invested at 9%

x + 1800 = 3100 + 1800

= $4900

$4900 is invested at 11%

Hope this helped.

6 0
4 years ago
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