If each interior angle of a regular octagon measures (7x + 16)°, find the value of x.
x = 17
x = 15
x = 14
x = 16

Answer:

it's hypotenuse will be -8

Answer:

1

[tex]2 \times 2 \times 4 \times 1 \times [/tex]

Answer:

12.4

Step-by-step explanation:

using x= 9tan54 the results is 12.38743728 but 12.4 to the nearest tenth

The margin of error is 0.1245 (approx) with a confidence level of 95%.

Margin of error is a statistic which is expressing the measurement of random sampling error in the results of a survey.

Margin of error = [tex]z^{*}[/tex][tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

where [tex]z^{*}[/tex] is the value for confidence level or quantile,

p is the sampling mean proportion and n is the sample size.

Here, The sampling mean proportion(p)= 0.28

The sample size(n)= 50

Confidence level = 95%

Hence Value for 95% confidence level ([tex]z^{*}[/tex])= 1.96

∴ Margin of error = [tex]1.96[/tex][tex]\sqrt{\frac{0.28(1-0.28)}{50} }[/tex]

                            = [tex]1.96[/tex][tex]\sqrt{\frac{0.28*0.72}{50} }[/tex]

                            = [tex]1.96\sqrt{\frac{0.2016}{50} }[/tex]

                            = [tex]1.96\sqrt{0.004032}[/tex]

                            = [tex]1.96[/tex]×[tex]0.0635[/tex]

                            = [tex]0.1245[/tex] (approx)

So, The margin of error is 0.1245 (approx).

Learn more about margin of error here :

https://brainly.com/question/10218601

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Answer:

Step-by-step explanation:

given :

y = 120 degree

z = 57 degree

angle x = ?

first lets find angle c in triangle BDC

angle C + 57 = 120

angle C = 120 -57

angle C = 63 degree

Now lets find angle B in triangle BDC

angle B + angle C + z = 180 degree (sum of interior angles of a triangle)

angle B + 63 + 57 = 180

angle B + 120 = 180

angle B = 180 - 120

angle B = 60 degree

now for angle x

angle B + z = angle x (sum of two interior opposite angles is equal to the exterior angle formed)

60 + 57 = x

117 = x

Answer:

10% = 30 15% = 20

Step-by-step explanation:

_

Answer:

18 ft

Step-by-step explanation:

Since the triangle is right angled ; we could use trigonometry ;

Using the angle , 40° ; adjacent side, = 14 feets ; hypotenus = x

Cos θ = Adjacent / hypotenus

Cos 40 = 14 / x

0.7660444 = 14 / x

0.7660444x = 14

x = 14 / 0.7660444

x = 18.27

= 18 ( nearest foot)

Answer:

The volume is 2140.98 inches

Hope this helped!

Answer:

681.47 π cubic inches

Step-by-step explanation:

Answer:

Centre = (-1, 5)

radius = 8units

Explanation

The standard form of the equation of a circle is expressed as

x^2+y^2+2gx+2fy+C = 0

Center = (-g, -f)

radius = √g²+f²-C

Given the equation of a circle is x² + y²+ 2x - 10y - 38 = 0.

On comparing

2gx = 2x

2g = 2

g = 2/2

g = 1

2fy = -10y

2f =-10

f =-5

Centre = (-1, -(-5)) = (-1, 5)

radius  = √1²+5²-(-38)

radius = √1+25+38

radius = √64

radius = 8units

18x+48+32+12x

18x+80+12x

30x+80

that's 3 different expressions equivalent to the original

Answer:

You can first remove the parentheses to get 18x+48+32+12x

Then you can combine like terms to get 30x+48+32

Finally you can finish combining like terms to get 30x+80

You could also enter 10(3x+8) because of the distributive property.

Step-by-step explanation:

Answer:

3 days=  $105, 6 days= $90, 10 days= $70

Step-by-step explanation:

You can rewrite this equation as y=120-5x

x is the amount of days passed

plug in 3 for x and you get 15. 120-15=105

plug in 6 for x and you get 30. 120-30=90

plug in 10 for x you get 50. 120-50=70

Hope this helps!

:)

Answer:

2/3 ft

Step-by-step explanation:

area of triangle =base*height/2

2/5=base*6/5/2

2/5 *2 =base * 6/5

4/5 =base*6/5

4/5÷6/5=base

4/5 * 5/6=base

20/30=base

2/3=base

therefore base=2/3 ft

Answer:

The answer should be A.

Step-by-step explanation:

Answer:

step-by-step explanation: 1cm is equal to 10mm

The volume of a cuboid is length ×breadth×height

We start by converting 60 mm into cm which will be 6cm

Solution :

462cm3=11cm×6cm

462cm3/66=66cm/66

The final answer will be 7cm

Therefore the height is 7cm

Answer:

Step-by-step explanation:

x is the length of the side opposite the reference angle of 32, and 10 is the side length adjacent to the reference angle. This satisfies the tangent ratio where

[tex]tan32=\frac{x}{10}[/tex] and solving for x:

x = 10tan32

Answer:

I can't understand !!!!!!!!!

Given : The Area of the Rectangle = x⁴ - 100

We know that : (a + b)(a - b) = a² - b²

⇒   x⁴ - 100 can be written as : (x²)² - (10)²

⇒   (x²)² - (10)² can be written as : (x² + 10)(x² - 10)

We know that, Area of a Rectangle is given by : Length × Width

Comparing (x² + 10)(x² - 10) with Area of the Rectangle formula, We can notice that :

⊕   Length = x² + 10

⊕   Width = x² - 10

Given : Length of the Rectangle is 20 units more than Width

⇒   Width + 20 = Length

⇒   x² - 10 + 20 = x² + 10

⇒   x² + 10 = x² + 10

Answer : x² - 10 represents the width of the rectangle. Because the area expression can be rewritten as (x² - 10)(x² + 10) which equals

(x² - 10)((x² - 10) + 20)

⇒   Option A

Answer:

(7 , -3)

Step-by-step explanation:

The distance between A and B is 7 squares to the right and 3 squares down

Answer: B

Step-by-step explanation:

QUICK

lol

Answer:

[tex] = \frac{1}{2} \times 134 \degree \\ = 67 \degree[/tex]

Answer:

Attached below

Step-by-step explanation:

Trapezoid: Opposite side are parallel in trapezium.

So, opposite sides are parallel in  all given quadrilateral except second.

Therefore, attached figure is not trapezium.

Answer:

.........

Step-by-step explanation:

Answer: %27

Step-by-step explanation: 90/338   x/100

90x100=9000

9000/338=%27

Answer:

152a

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

21 feet

Step-by-step explanation:

pythagoreom theorem

a^2+b^2=c^2

6.5^2+20^2=c^2

42.25+400=c^2

442.25=c^2

21 feet