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3 years ago

6. Consider the diagram below. Solve for x.

Mathematics

2 answers:

jarptica [38.1K]3 years ago

8 0

Answer:

X = 33°

Step-by-step explanation:

Hope this helps.

kobusy [5.1K]3 years ago

4 0

Answer:

Step-by-step explanation:

We know that the square is 90 so we can add 90+57 and get 147 so we subtract 180-147 and get 33

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What is the distance between the walls?

icang [17]

If you flip the 30-60-90 triangles so they look similar, and find the difference between the length of 60, and the length of 40.

40÷60 =.6666 etc

You can prove this by plugging in
60 •.66666 = 39.9999 or about 40.

The triangle I started with had a length of 60, so just used the tangent of 60° to find the adjacent.
Since we know the relationship of the triangles,
Multiply your answer, 103.923 •.666666
Which equals 69.2819
69.2819 is the length of the 40 triangle.

Add them together, and you get 173.2049.

Or 173.20 m

5 0

3 years ago

Complete the square to find the minimum value of the expression 4x2 + 8x + 23.

Tcecarenko [31]

So you need to come up with a perfect square that works for the x coefficients.
like.. (2x + 2)^2
(2x+2)(2x+2) = 4x^2 + 8x + 4
Compare this to the equation given. Our perfect square has +4 instead of +23. The difference is: 23 - 4 = 19

I'm going to assume the given equation equals zero..

So, If we add subtract 19 from both sides of the equation we get the perfect square.

4x^2 + 8x + 23 - 19 = 0 - 19
4x^2 + 8x + 4 = - 19
complete the square and move 19 over..
(2x+2)^2 + 19 = 0
factor the 2 out becomes 2^2 = 4
ANSWER: 4(x+1)^2 + 19 = 0

for a short cut, the standard equation
ax^2 + bx + c = 0 becomes a(x - h)^2 + k = 0
Where "a, b, c" are the same and ..
h = -b/(2a)
k = c - b^2/(4a)

Vertex = (h, k)
this will be a minimum point when "a" is positive upward facing parabola and a maximum point when "a" is negative downward facing parabola.

3 0

3 years ago

A poll asks shoppers at the mall how many cups of water they typically drink in a day. The results of the poll are listed below.

juin [17]

Answer:

D 9.5

Step-by-step explanation:

Write data in increasing order.

3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11

Find the median

3, 5, 5, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 10, 10, 10, 10, 11

Median is 8

Lower half of the data is : 3, 5, 5, 6, 6, 6, 7, 7, 8, 8,

First quartile is the median of the lower half of the data=6+6 /2 =6

Upper half of the data is: 8, 8, 8, 9, 9, 10, 10, 10, 10, 11

The Third quartile is the median of the upper half=9+10 / 2 = 9.5

3 0

3 years ago

Read 2 more answers

Solve <img src="https://tex.z-dn.net/?f=%7B2x%7D%5E%7B2%7D%20%20%2B%208x%20-%201%20%3D%200" id="TexFormula1" title="{2x}^{2}

kramer

Answer:

x= ± $3\sqrt{2} /2$ +2

Step-by-step explanation:

Use the formula ( b/2) ^2 in order to create a new term. Solve for x by using this term to complete the square.

x= ± $3\sqrt{2} /2$ +2

4 0

1 year ago

-144r = -12rk find the value

OLga [1]

k = 12

cancel out the r on both sides

then divide -144 by -12.

you get 12.

5 0

3 years ago