ABCD IS a rectangle and line OA is perpendicular to line OB, line BC is equal to 2cm, line CD is equal to 6cm and tan x degree is equal to 3 / 4.find the values of a.sinx b.cos x and c.line OZ.​

The sides of the regular hexagon ABCDEF can be posed as a. If so, the area of ABCDEF should be 6 times the are of the interior angle in the hexagon, considering there are 6 equilateral triangle that can fit in this regular hexagon,

Area =  6( a * a * sin 60 ) / 2,

Area = ( About ) 2.6 sq units

Now applying cosine for triangle ABC -

AC^2 = AB^2 + BC^2 – ( 2*AB*BC*cos 120 ),

a^2 + a^2 – ( 2a^2 * ( - 0.5 ) ) = a^2 + a^2+a^2 =3a^2,

AC = a√3

The area of ABC should thus be the following -

( a√3 * a√3 * sin 60 )/2 = 1.299038106 sq units

As you can see, the area of ABC is half the area of ABCDEF, thus the ratio of the area of ABC to ABCDEF is 1 : 2

Answer:

3.5 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

in x²+y²+2gx+2fy+c=0

center=(-g,-f)

radius=√((-g)²+(-f)²-c)

if center is not changed ,then c will change .

Here only coefficients of  E will change.

Answer:

  f(x) = –x^2 – 12x – 36

Step-by-step explanation:

The parent function, x^2, touches the x-axis at x=0. Translating it 6 units left replaces x with x-(-6) = x+6, so the function is ...

  f(x) = (x+6)^2 = x^2 +12x +36

Reflecting the graph across the x-axis doesn't change the x-intercept, so Heather could be writing ...

  f(x) = -x^2 -12x -36

It's D.

I have to have at least 20 characters.

Answer:

A. Margin of error = 128.79

B. The 99% confidence interval for the population mean is (7661.21, 7918.79).

Step-by-step explanation:

We have to calculate a 99% confidence interval for the mean.

The population standard deviation is know and is σ=500.

The sample mean is M=7790.

The sample size is N=100.

As σ is known, the standard error of the mean (σM) is calculated as:

[tex]\sigma_M=\dfrac{\sigma}{\sqrt{N}}=\dfrac{500}{\sqrt{100}}=\dfrac{500}{10}=50[/tex]

The z-value for a 99% confidence interval is z=2.576.

The margin of error (MOE) can be calculated as:

[tex]MOE=z\cdot \sigma_M=2.576 \cdot 50=128.79[/tex]

Then, the lower and upper bounds of the confidence interval are:

[tex]LL=M-t \cdot s_M = 7790-128.79=7661.21\\\\UL=M+t \cdot s_M = 7790+128.79=7918.79[/tex]

The 99% confidence interval for the population mean is (7661.21, 7918.79).

Responda:

13 gramas

Explicação passo a passo:

Answer:

Your answer is B. Tell me if you need graphics)

it would be C

My best assumption here is you misplaced x^2 in this function. Mostly what is done with the answer C is the function is being FACTORED, and broken down into its simplest form.

Answer: A right triangle with acute angles measuring 45° and 45°

Step-by-step explanation:

This question is related to the criteria of congruence for triangles.

The criteria are:

SSS (you know the 3 sides)

SAS (you know two sides, and the angle between those two sides)

ASA (you know two angles, and the side between those two angles)

AAS (you know two angles, and one side).

So for the given examples, the only one that does not reach any of those criteria is the last option, where we only have the angles:

45°, 45° and 90°.

This means that we can craft multiple triangles with this data:

this is a triangle rectangle where the length of the cathetus is the same, that is the only restriction.

For example we can have lengths:

1, 1 and √2

or 2, 2 and √(2^2 + 2^2) = √8

Answer:

A right triangle with acute angles measuring 45° and 45°

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

=> 1 ticket = $7

=> 1 bag = $3

Expression # 1:

=> 4($7+$3)

Expression # 2:

=> 4($7)+4($3)

Solving it:

=> $28+$12

=> $40

Answer:

4(7+3)=28+12=40, 4(3)+4(7)

Answer: A and C

Step-by-step explanation:

Answer:

log (3)           log (x)  

---------    +      ---------

    2                     2

Step-by-step explanation:

a. distribute to get → log (3)           log (x)  

                                  ---------    +      ---------

                                     2                     2

Hope this helped! :)

log√(3x) can be written in the expanded form as [tex]\frac{1}{2}[/tex] [log (3) + log (x)].

A logarithm is simply the opposite function of the exponentiation.

It is the exponent to which a number or value is raised to get some other number.

That is, if c = aˣ, then we can write it as x =logₐ c.

We know that,

√a can be written as (a) ^(1/2).

Similarly,

log√(3x) = log (3x)^(1/2)

Now, we have a rule for logarithms that, log aᵇ = b log a.

So,

log√(3x) = log (3x)^(1/2)

              = [tex]\frac{1}{2}[/tex] log (3x)

Using the multiplication rule of logarithms, log (ab) = log (a) + log(b),

              = [tex]\frac{1}{2}[/tex] [log (3) + log (x)]

Hence the expanded form is [tex]\frac{1}{2}[/tex] [log (3) + log (x)].

Learn more about Logarithms here :

https://brainly.com/question/29291192

#SPJ2

Answer:

hope it will help uh ...u will slowly get over it..

Answer:

5 5/12

Step-by-step explanation:

you find the common denominator which is 12

2 6/12

8/12

2 3/12

now u add them all

hope this helps

Answer:

5 5/12 cups

Step-by-step explanation:

Answer:

60-|||

61-

62-||

62

64-|||

65

66

67-|

68-|||

69-|

70-||

71

72-||

73

74-||

75

76-||

77

78-|

This is a stem and leaf plot.

mean is 138.2/20=6.91

median of 20 is half way between 10th and 11th or an ordered plot. The 10th and the 11th are both 6.8, so that is the median.

6.4 and 6.8 are modes, but they are so minimal I would say there isn't a clear mode.

The range is 1.8, the largest-the smallest

This is not a normal distribution.

z=(x-mean) sd

a.(72-70.5)/1.5=1 so z>1 is the probability or 0.1587.

b.shorter than 67.5 inches is (67.5-70.5)/1.5 or z < = -2, and probability is 0.0228.

c.Between 69 and 72 inches is +/- 1 sd or 0.6826.

95% is 1.96 sd s on either side or +/- 1.96*1.5=+/- 2.94 interval on either side of 70.5

(67.56, 73.44)units in inches

Step-by-step explanation:

Answer:

Nah bro I gotchu! 2x+28=42

2x=42-28

2x=14

x=7

:)

Step-by-step explanation:

Answer:

5/7

Step-by-step explanation:

We are given two points so we can find the slope by using

m = (y2-y1)/(x2-x1)

    = (15-5)/(21-7)

    =10/14

   5/7

Answer:

5/6

Step-by-step explanation:

The probability of the 10th roll will be 6 is 1 out 6 because there's only one side with 6 (we spouse the dice is not biased) so the probability of the roll not to be 6 is 5/6

Answer:

The above statement is written as

[tex]x + 1 \times \frac{1}{2} of \: x[/tex]

of means multiplication

So the final answer is

[tex]x + \frac{3}{2} x[/tex]

Hope this helps you.

Answer:

Parallel!

Step-by-step explanation:

If you put these points on a graph and connect the dots to be two lines, they are perfectly side to side :)