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Paladinen [302]
3 years ago
8

Find the missing side lengths​

Mathematics
2 answers:
Alik [6]3 years ago
6 0
For this triangle in particular, we can use the special rules of a 30-60-90 triangle

This says:
The opposite side of 30° is: x
The opposite side of 60° is: x * sqrt(3)
The opposite side of the 90° is: 2x

We have our side length for 90° so we just have to work backwards
To find our 30° side length we must divide by 2
8/2 = 4
Which means your y = 4

Now that we have our 30° side length we can just multiple it by sqrt(3)

That means your x = 4 sqrt(3)
just olya [345]3 years ago
6 0

Answer:

x= 4 square root 3 y=4

Step-by-step explanation:

Its 30 60 90 triangle

Hope this helps <3

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The amount spent on food and drink by 20 customers is shown below What is the modal amount spent and the median?
Kaylis [27]

Answer:

Mode = 19.

Median = 23.

Step-by-step explanation:

Arrange in ascending order:

8 9 12 15 17 18 19 19 20 22 24 25 26 27 28 31 34 36 40 43

The modal amount is the one which occurs most , which is 19.

The median is the middle value of the 20 amounts.

As there is an even number of amounts the median is the mean of the 2 middle numbers:

Median = (22 + 24) / 2

= 23.

5 0
4 years ago
A(n) ______ shows relationships between things you are comparing.
Klio2033 [76]
Equation showing relationships between things you are conparing. An equals sign represents the two expeessions are equal
6 0
3 years ago
richard type a 1,200 word essay in 25 minutes.At this rate,determine how many words he can type in 45 minutes.... Guys plz help
sweet [91]

So, we divide 1200 by 25 to find out how many words per minute he types. 1200 / 25 = 48 So, he types 48 words per minute. Now, we multiply this by 45 to find out how many words he can type in 45 minutes. 48 x 45 = 2,160 Joseph can type 2,160 words in 45 minutes!
8 0
4 years ago
Find the x- and y-intercepts of the graph of 10x+2y=20 State each answer as an integer or an improper fraction in simplest form.
Deffense [45]

Answer:

  • Slope: \frac{10.000}{2.000} = -5.000
  • x - intercept: \frac{10}{5} = 2.
  • y intercept: \frac{10}{1} = 10.00000.

Step-by-step explanation:

<u>Simplify:</u>

  • Simplify the equation by subtracting what is to the right of the equal sign from both sides of the equation:
  • 10*x+2*y-(20)=0.

<u>Step 1:</u>

  • Pull out like factors:
  • 10x + 2y - 20 = 2 * (5x + y - 10)

<u>Step 2:</u>

  • Equations which are never true:
  • Solve:
  • 2 = 0
  • This can't be solved.
  • A non-zero constant never equals 0.
  • Equation of a straight line:
  • Solve:  5x+y-10 = 0
  • "y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
  • In this formula:
  • y tells us how far up the line goes
  • x tells us how far along
  • m is the Slope or Gradient i.e. how steep the line is
  • b is the Y-intercept i.e. where the line crosses the Y axis
  • The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x+y-10  = 0 and calculate its properties
  • Calculate the y-intercept:
  • Notice that when x = 0 the value of y is 10/1 so this line "cuts" the y axis at y=10.00000
  •  y-intercept = 10/1  = 10.00000
  • Calculate the x-intercept:
  • Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 10.000 and for x=2.000, the value of y is -0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.000 - 10.000 = -10.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
  •    Slope     = -10.000/2.000 = -5.000

<u>Answers:</u>

  •  Slope = -10.000/2.000 = -5.000
  •  x-intercept = 10/5 = 2
  •  y-intercept = 10/1 = 10.00000

5 0
2 years ago
Find the values of the six trigonometric functions of theta based on the following constraints:
Alexxx [7]
Hello,

1)
sin x=3/5==>x=126.869897...° (since in quadrant II)

2)==>cos x<0
cos x=-√(1-sin ² x)=-√(1-9/25)=-4/5

tan x=(3/5)/(-4/5)=-3/4

cotg x=-4/3 =1/tan x

sec x=1/cos x=-5/4

cosec x=1/sin x=5/3

8 0
3 years ago
Read 2 more answers
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