This is worth 20 points

Answer:

AB = 7

Step-by-step explanation:

The polygon pictured is a hexagon, which means that it has 6 equal side lengths. The perimeter is 42. AB is the length of one side.

Perimeter = 6 x length of one side

If you plug everything you know in the equation, you would get...

42 = 6 x length of one side

42 ÷ 6 = 7

So, 7 is the length of AB, since in a hexagon, all sides are the same length.

The length of side AB  is 7.

A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.

This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).

We have,

The given polygon is a hexagon since it has 6 faces.

Now,

The six faces are equal in length.

So,

6 faces length = 42

Now,

Each face = x

And,

6x = 42

x = 42/6

x = 7

Thus,

The length of AB  is 7.

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Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{7}{4}[/tex] , then

θ = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60° ( to the nearest degree )

Answer:

14%

Step-by-step explanation:

[tex]\frac{70,000}{500,000} :\frac{y}{100}[/tex]

y × 500,000 = 100 × 70,000

500,000y = 7,000,000

500,000y ÷ 500,000 = 7,000,000 ÷ 500,000

y = 14

Answer:

[tex]11^2 *11^10 \\13^6 *13^4\\14^9 * 14^10\\2^4*2^4\\7^8*7^6\\3^3*3^9[/tex]

Step-by-step explanation:

Please Mark Brainliest for helping

Answer:

113.1 in

Step-by-step explanation:

C = πd

d = 36

C = 36π = 113.1 in

Answer:

n = 8

Step-by-step explanation:

The angles are vertical angles and so they are equal

9n = 8n+8

Subtract 8n from each side

9n - 8n = 8n+8-8n

n = 8

Answer:

Area = 28.43 cm²

Step-by-step explanation:

area of square = 11.5 x 11.5 = 132.25 cm²

area of circle = πr² = (3.14)(5.75²) = 103.82 cm²

Area= 132.25 - 103.82 = 28.43 cm²

Answer:

28.38 cm²

Step-by-step explanation:

Area of square

a = 11.5^2

a = 132.25

The corners are 4 quarter circle

which makes a complte circle

a = πr^2

a = π(11.5/2)^2

a = 103.8689071093

Area shaded

a = 132.25 - 103.8689071093

a = 28.3810928907

Rounded

a = 28.38 cm²

Answer:

67% (rounded)

Step-by-step explanation:

Since there is 1-6,

There is 3,4,5,6 which is 4/6 chance being above 2.

2/3 = 66.6%  

Answer:1/36

Step-by-step explanation:

Answer:

65 degrees

Step-by-step explanation:

90 + 90 + 115 + x = 360

x= 65

The appropriate hypotheses for this test are

p = 0.75 for Null Hypothesis.

p > 0.75 for Alternative Hypothesis.

Given that,

According to a soccer coach, 75% of soccer players have had at least one sprained ankle.

Null Hypothesis (H₀):

The true proportion of college soccer players who have had at least one sprained ankle is equal to 75% is,

p = 0.75

Alternative Hypothesis (Ha):

The true proportion of college soccer players who have had at least one sprained ankle is greater than 75%.

p > 0.75

Here, We are testing if the true proportion is greater than 75%, so the alternative hypothesis should reflect that.

The null hypothesis assumes the proportion is equal to 75%.

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Answer:

C 16/33

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

Answer:

B - 18

Step-by-step explanation:

149 total minutes minus 5 for the introductions leaves 144.

144/5=18

Answer:

You can figure out the area of the rectangle and aproximate

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

I think it is 360 because if you split it into two part and you plot the top and motte number you get 8 for the top and 10 for the bottom so 18 times ten is 180 and 180 times 2 is 360

x=1

Step-by-step explanation:

f(x)=0 is basically the x-axis. the line passes through 3 points on the x-axis, the only correct pint listed is x=1. :)

Answer:

line one and 2

Step-by-step explanation:

the quetoin says it is x - 3 not 2x

Answer:

a=-2

Step-by-step explanation:

-29=6a-17

add 17 on both sides

-12=6a

divide by 6 on both sides

-2=a

a=-2

The required equation of the hyperbola is expressed as

[tex]\frac{x^2}{10}- \frac{y^2}{15}=1 \\[/tex]

The standard form for calculating the equation of a parabola along the x-axis is expressed as:

[tex]\frac{(x-k)^2}{a^2}-\frac{(y-h)^2}{b^2} = 1 \ ............. 1[/tex] where:

(h, k) is the center

(k±c, h) are the foci

[tex]x=h\pm\frac{a^2}{c}[/tex] is the directrix

From the question given, we can see that foci = (±5, 0)

k±c, h = ±5, 0

k = 0

h = 0

c = 5

From the directrix,

[tex]x=h\pm\frac{a^2}{c}\\x =0\pm\frac{a^2}{5}\\\pm2 = \pm\frac{a^2}{5}\\a^2 = 10\\[/tex]

Also, we need to know that;

a²+b² = c²

10 + b² = 5²

b² = 25 - 10

b² = 15

Substituting the gotten values into the equation of a hyperbola;

[tex]\frac{(x-0)^2}{10}- \frac{(y-0)^2}{15} =1\\\frac{x^2}{10}- \frac{y^2}{15} =1\\[/tex]

This gives the required equation of the hyperbola

Learn more on the equation of hyperbola here: https://brainly.com/question/20409089

Answer:

The answers are between C and D

Step-by-step explanation:

It can't be A or B because they create a horizontal hyperbola, when the directrices are vertical.

Answer:

494

Step-by-step explanation:

There's 60 seconds in 1 minute

multiply 8 * 60 and add 14

494

Answer:

494 seconds

Step-by-step explanation:

1 minute = 60 seconds

Convert 8 minutes into seconds:

Variable x = number of seconds in 8 minutes

1 min/60 seconds = 8 mins/x

Cross multiply:

1 × x = 60 × 8

1x = 480

x = 480 seconds

Add the 14 seconds to 480 seconds:

14 + 480 = 494

Formula: y = mx + b

m being the slope

Slope given: -2, plug it in

Y = -2x + b

Now find y intercept (b)

Plug in the point (5,-11)

-11 = -2(5) + b

-11 = -10 + b, b = -1

Solution: y = -2x -1

Answer:

= 5^-8 . 5^-10

= 5^(-8 ) + (-10)

=5^-18

Answer:

5^-18

Step-by-step explanation:

[tex](5^{-8})(5^{-10}) = 5^{-8-10} = 5^{-18}[/tex]

Answer:

m1= 82

m2=98

m3=82

Step-by-step explanation:

Angle m4 is supplementary with angle m1 so their values add up to 180

180-98=82

Angle m3 is opposite of m1 and is the same value, it is also supplementary to m4 so you can find the value that way as well.

Angle m3 is opposite of m4 so it is the same value.  It is supplementary to m1 and m3, so it must be 98 through that logic as well.

Answer:

-72p^7-64p^4

Step-by-step explanation:

Answer:

3/4, 4/5, 2/3. 3/5, 2/3

Step-by-step explanation:

What is 4/8 + 1/4 simplified

4/8 + 1/4

4/8 + (1/4)*2/2 (find the common denominator in our case it is 8)

4/8 + 2/8

6/8

or, 3/4 (I simplified the fraction to lowest term)

what is 3/5 + 2/10 simplified  

3/5 + 2/10

3/5 + 1/5

4/5

what is 1/3 + 3/9 simplified

1/3 + 3/9

1/3 + 1/3

2/3

what is 2/10 +2/5 simplified

2/10 + 2/5

1/5 + 2/5

3/5

what is 3/6 + 2/12 simplified

3/6 + 2/12

3/6 + 1/6

4/6

2/3

Answer:

3 hour

Step-by-step explanation:

23.30×4=93.2. 18.10×5=90.5 93.2-90.5=2.7 ans 3 hour than anne

Answer:

package 3 is lowest unit price

Step-by-step explanation:

pkg 1

$0.55/.5m = $1.10/m

pkg 2

$2/2m = $1.00/m

pkg 3

$7/10m = $0.70/m

pkg 4

$5.50/5m = $1.10/m

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package 3 is lowest unit price