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Answer:

Mean- 18.5

25+20+20+17+15+14=111

111/6=18.5

Answer:

1,2,4,8

Step-by-step explanation:

Answer:

m = undefined

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (-3, 0)

Point (-3, 11)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

∴ We have a vertical line at x = -3.

Answer:

3/2 X 1/4 +1/2

Step-by-step explanation:

Try using that to work out the answer.

Answer:

The slope of a line characterizes the direction of a line.

Step-by-step explanation:

To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points.

Answer:

-2

Step-by-step explanation:

The measure of the trigonometric relations is tan θ = -1 when the reference angle θ = 315°

Every angle is measured from the positive part of the x-axis to its terminal line (the line that determines the end of the angle) traveling counterclockwise. For angles in the first quadrant, i.e., angles less than or equal to 90 degrees, the reference angle is equal to the original angle.

The reference angle is always positive

0° to 90°: reference angle = angle

90° to 180°: reference angle = 180° - angle

180° to 270°: reference angle = angle - 180°

270° to 360°: reference angle = 360° - angle

Given data ,

Let the reference angle be represented as R

Now , the value of R is R = 315°

And , the measure of angle θ = 7π/4

The reference angle θ = 315°

So , the value of tan ( 315 )° = -1

Hence , the trigonometric value tan ( 7π/4 ) = -1

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The complete question is attached below :

Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). 7 The measure of angle Ois 4. The measure of its reference angle is °, and tan is​

Someone please answer I need help on this one to

Answer:

what's the full question

Answer:

Step-by-step explanation:

perimeter=2(l+w)

26=2(2x-2+10-x)

26=2(x+8)

26/2=x+8

13=x+8

13-8=x

5=x

Answer:

x=5

Step-by-step explanation:

a=2x-2

b=10-x

Formula

2 x(a+b)=26

(2x-2)+(10-x)=26/2

2x-x-2+10=13

x+8=13

x=13-8

x=5

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Answer:

[tex]x=80^{\circ},\\y=80^{\circ}[/tex]

Step-by-step explanation:

The measure of an angle formed by a secant and a tangent outside of a circle is half of the absolute difference between the two arcs it forms. Therefore, we have the following equation:

[tex]m\angle A=\frac{\widehat{BC}-\widehat{BD}}{2}[/tex]

Substituting given values, we get:

[tex]20=\frac{120-x}{2},\\40=120-x,\\x=\boxed{80^{\circ}}[/tex]

Since there are 360 degrees in a circle, we can write the following equation, using [tex]x[/tex], to solve for [tex]\widehat{DC}[/tex]:

[tex]x+\widehat{DC}+120=360,\\80+\widehat{DC}+120=360,\\\widehat{DC}=\boxed{160^{\circ}}[/tex]

The value of the angle formed by a chord and a tangent is half the measure of the arc it forms. Therefore,

[tex]y=\frac{\widehat{DC}}{2}=\frac{160}{2}=\boxed{80^{\circ}}[/tex]

Answer: 3

Step-by-step explanation:

Given

The equation of the circle is [tex]x^2+y^2-4x-6y-k=0[/tex]

Using completing the square method

[tex]\Rightarrow x^2+y^2-4x-6y+4-4+9-9-k=0\\\Rightarrow \left( x^2-4x+4\right)+\left( y^2-6y+9\right)-\left( k+4+9\right)=0\\\Rightarrow \left( x-2\right)^2+\left( y-3\right)^2=\left( k+13\right)[/tex]

on comparing with standard form,  [tex]r^2=k+13[/tex]

Insert the value of r

[tex]\Rightarrow 4^2=k+13\\\Rightarrow k=16-13\\\Rightarrow k=3[/tex]

Answer:

19500000000

Step-by-step explanation:

Answer:

Frequency refers to the number of waves that pass a given point in a given time period and is often expressed in terms of hertz (Hz), or cycles per second. Longer wavelengths will have lower frequencies, and shorter wavelengths will have higher frequencies

Answer:

x^2+4x-21

Step-by-step explanation:

hope it helps

Answer:

Option D, x² + 4x - 21

Step-by-step explanation:

Using FOIL;

x * x = x²

x * (-3) = -3x

7 * x = 7x

7 * (-3) = -21

Therefore; x² + (-3x) + 7x - 21

=> If simplified:

=> x² + 4x - 21

Hope this helps!

Answer:

67 minutes

Step-by-step explanation:

c because -t=-r/-s equals -t=r/s

Answer:

43.3

Step-by-step explanation:

45-5=40,

0.0825*40=3.3

40+3.3=43.3

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

The given triangle is a right angled triangle,

therefore, by using trigonometry :

[tex] \boxed{ \cos(45) = \frac{6}{x} }[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

9514 1404 393

Answer:

  $5.54

Step-by-step explanation:

 8.8% of $63 is ...

  0.088×$63 = $5.544

The tax is rounded to the nearest cent, so you would pay $5.54 in tax.

Answer: 5.54

Step-by-step explanation: khan said it was correct

Answer:

b=2.5-7.50

Step-by-step explanation: so 5 party hats cost 50 cents, so times that by 5 to get 2.50, and then use the 7.50 and minus it.

Answer:

TO FIND :-

FORMULAES TO KNOW BEFORE SOLVING :-

SOLUTION :-

1) θ = 16°

Length of side opposite to θ = 7

Hypotenuse = x

[tex]=> \sin 16 = \frac{7}{x}[/tex]

[tex]=> \frac{7}{x} = 0.27563......[/tex]

[tex]=> x = \frac{7}{0.27563....} = 25.39568.....[/tex] ≈ 25.3

2) θ = 29°

Length of side opposite to θ = 6

Hypotenuse = x

[tex]=> \sin 29 = \frac{6}{x}[/tex]

[tex]=> \frac{6}{x} = 0.48480......[/tex]

[tex]=> x = \frac{6}{0.48480....} = 12.37599.....[/tex] ≈ 12.3

3) θ = 30°

Length of side opposite to θ = x

Hypotenuse = 11

[tex]=> \sin 30 = \frac{x}{11}[/tex]

[tex]=> \frac{x}{11} = 0.5[/tex]

[tex]=> x = 0.5 \times 11 = 5.5[/tex]

4) θ = 43°

Length of side adjacent to θ = x

Hypotenuse = 12

[tex]=> \cos 43 = \frac{x}{12}[/tex]

[tex]=> \frac{x}{12} = 0.73135......[/tex]

[tex]=> x = 12 \times 0.73135.... = 8.77624....[/tex] ≈ 8.8

5) θ = 55°

Length of side adjacent to θ = x

Hypotenuse = 6

[tex]=> \cos 55 = \frac{x}{6}[/tex]

[tex]=> \frac{x}{6} = 0.57357......[/tex]

[tex]=> x = 6 \times 0.57357.... = 3.44145....[/tex] ≈ 3.4

6) θ = 73°

Length of side adjacent to θ = 8

Hypotenuse = x

[tex]=> \cos 73 = \frac{8}{x}[/tex]

[tex]=> \frac{8}{x} = 0.29237......[/tex]

[tex]=> x = \frac{8}{0.29237.....} = 27.36242.....[/tex] ≈ 27.3

7) θ = 69°

Length of side opposite to θ = 12

Length of side adjacent to θ = x

[tex]=> \tan 69 = \frac{12}{x}[/tex]

[tex]=> \frac{12}{x} = 2.60508......[/tex]

[tex]=> x = \frac{12}{2.60508....} = 4.60636....[/tex] ≈ 4.6

8) θ = 20°

Length of side opposite to θ = 11

Length of side adjacent to θ = x

[tex]=> \tan 20 = \frac{11}{x}[/tex]

[tex]=> \frac{11}{x} = 0.36397......[/tex]

[tex]=> x = \frac{11}{0.36397....} =30.22225....[/tex] ≈ 30.2

Answer:

Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%

Step-by-step explanation:

Testing  hypothesis about a population proportion when sample size is large.

If the sample size is large then the variable

z= p^-p / sqrt [pq/n]

is approximately standard normal.

Formulate the hypotheses as

H0 : p < 30%   against the claim Ha: p ≥ 30%

Choose the significance level ∝= 0.05

the critical region is z ≥ 1.645 because the alternative hypothesis is stated on a greater  than or equal to basis.

Computing

Z= 748-(2778*0.3)/ √2778*30/100*70/100

z= 748-833.4/√583.38

z= -85.4/24.153

z=-3.5357

Since the calculated z =-3.5357 falls in the critical region z ≥ 1.645 we reject H0 and conclude that the sample provides sufficient evidence to indicate that the true percentage of all firms that announced one or more acquisitions during the year 2000 is ≥ 30%

The p- value is 0.0002

9514 1404 393

Answer:

  c.  1150 square units

Step-by-step explanation:

The sum of the two side lengths is half the perimeter, so is 125/2 = 62.5 units. The long side is 4/5 of that, so is 50 units.

The area is the product of the long side and the height to the long side:

  A = bh

  A = (50 units)(23 units) = 1150 units²

__

Additional comment

This geometry is impossible, because the height from the long side cannot be more than the length of the short side. Here, the short side is 12.5 units, so it is not possible for the height to be 23 units.

If the height is measured from the short side, then the area is 287.5 square units.

Hence, the approximate length of the ladder​ is [tex]12ft[/tex].

What is the approximation value?

An approximation is anything that is similar, but not exactly equal, to something else. A number can be approximated by rounding.

A calculation can be approximated by rounding the values within it before performing the operations.

Here given that,

[tex](x)^2=(11.5)^2+(3.5)^2\\X^2=132.25+12.25\\X^2=144.5 \\X=\sqrt{144.5}\\X=12 feet[/tex]

Hence, the approximate length of the ladder​ is [tex]12ft[/tex].

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Answer:

a

Step-by-step explanation:

Answer:

Both ate the same amount of cake, there will be 6/8 or 3/4ths of the cake left.

Step-by-step explanation:

2/16 is equivalent to 1/8. Therefore they ate the same amount of cake.

Answer:

they ate the same amount 1/8 and 2/16 are the same thing.3/4

Step-by-step explanation:

they both ate 1/8  so 8/8-2/8=6/8=3/4 of the cake left

Answer:

It's 8%

Step-by-step explanation:

3.20 divided by 40 = 0.08

0.08 = 8% therefore $3.20 divided by $40.00 = 8% sales tax