determine the arc of length AB. Give your answer in TWO DECIMAL PLACES.

Answer:

72 in²

Step-by-step explanation:

We obtain the value of EC:

From Pythagoras :

EC = √CD² - DE²

EC = √10² - 6²

EC = √100 - 36

EC = √64

EC = 8

To obtain AE:

AE = √AB² - BE²

AE = √(√52)² - 6²

AE = √52 - 36

AE = √16

AE = 4

Hence, we can obtain the areas of each triangle :

△ABE = △ADE

△BCE = △CDE

AREA OF △ABE = 1/2 * base * height

= 1/2 * 4 * 6 = 12 in²

AREA OF △BCE = 1/2 * base * height

= 1/2 * 6 * 8 = 24 in²

HENCE, total area of fabric :

(2 * 12) + (2 * 24)

24 in² + 48 in²

= 72 in²

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]6x + 1 - 2x = 13[/tex]

[tex]4x+1 = 13[/tex]

[tex]4x+1-1 = 13-1[/tex]

[tex]4x = 12[/tex]

[tex]\frac{4x}{4} = \frac{12}{4}[/tex]

[tex]x = 3[/tex]

Answer:

x = 3

Step-by-step explanation:

6x-4-2x+5=13 (simplify)

4x+1=13 (4x+1 - 1 ; 13-1)

4x=12 (4x/4 ; 12/4)

x=3

Given:

The table of point scored in 5 games.

After game 6, the mean number of points scored per game is 9.

To find:

The points scored by Maya in game 6.

Solution:

Let x be the points scored by Maya in game 6. Then sum of scores in all 6 games is:

[tex]Sum=8+12+10+6+14+x[/tex]

[tex]Sum=50+x[/tex]

We know that, the formula for mean is:

[tex]\text{Mean}=\dfrac{\text{Sum of all observations}}{\text{Total number of observations}}[/tex]

So, the mean number of points scored per game is:

[tex]\text{Mean}=\dfrac{50+x}{6}[/tex]

It is given that the mean number of points scored per game is 9.

[tex]\dfrac{50+x}{6}=9[/tex]

[tex]50+x=9\times 6[/tex]

[tex]x=54-50[/tex]

[tex]x=4[/tex]

Therefore, the correct option is A.

Answer:

Commutative property of multiplication

Step-by-step explanation:

Properties of Multiplication:

Commutative:

Multiplying two or more factors in a different order.

ex: 2 x 4 x 5 = 2 x 5 x 4

Associative:

Multiplying factors in parenthesis with different grouping. usually to make the problem simpler.

ex: (13 x 4) x 25 = 13 x (4 x 25)

Distributive:

Distributing a multiplicand to factors in parenthesis.

ex: 2(4 - 1) = 2(4) - 2(1)

ex: 2(8+7) = 2(8) + 2(7)

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer: Simple regression

Step-by-step explanation:

A regression analysis that involves one independent variable and one dependent variable is called the simple regression.

The Simple Regression Analysis shows the relationship that exist between the dependent variable which is the value that's to be predicted and the independent variable. The dependent variable depends on the independent variable

Answer:

C = StartFraction pi times 4 over 2 EndFraction.

Step-by-step explanation:

the circumference of a circle=

C= 2 times PI times radius

Radius= d/2

sooo it is

C = StartFraction pi times 4 over 2 EndFraction.

Answer:

C = StartFraction pi times 4 over 2 EndFraction.

Step-by-step explanation:

the circumference of a circle=

C= 2 times PI times radius

Radius= d/2

sooo it is

C = StartFraction pi times 4 over 2 EndFraction.

Answer:

x = 30, y = 15

Step-by-step explanation:

x = 2*15 = 30

(Central angle is twice the inscribed angle standing on the same arc.)

Similarly,

y = 15

(Base angles of isosceles triangle are equal)

Answer:

c. 70ft²

Step-by-step explanation:

Area of wall needed to be painted

= (12×8) - (2×2×2) - (3×6)

= 96 - 8 - 18

= 70ft²

[tex]\boxed{e\:=\:-2.}[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]2e - 3(2e + 3) = 3e + 5 \\ ⇢2e - 6e - 9 = 3e + 5 \\ ⇢ - 4e - 3e \: = 5 + 9 \\ ⇢ - 7e = 14 \\ ⇢e = \frac{14}{ - 7} \\ ⇢e = - 2[/tex]

[tex]{ \bf{ \underbrace{To\:verify :}}}[/tex]

[tex]2e - 6e - 9 = 3e + 5 \\⇢2 \times - 2 - 6 \times - 2 - 9 = 3 \times - 2 + 5 \\ ⇢ - 4 + 12 - 9 = - 6 + 5 \\ ⇢12 - 13 = - 1 \\ ⇢ - 1 = - 1 \\ ⇢L.H.S.=R. H. S  [/tex]

Hence verified.

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

=−9

=9

Step-by-step explanation:

4

2

=

3

2

4

4x^{2}=324

4x2=324

4

2

−

3

2

4

=

04

2

−

3

2

4

=

0

4x^{2}-324=0

4x2−324=0

4

(

2

−

8

1

)

=

04

(

2

−

8

1

)

=

0

4(x^{2}{\color{#c92786}{-81}})=0

4(x2−81)=0

4

(

2

+

9

−

9

−

8

1

)

=

0

Answer:

8π/5

Step-by-step explanation:

Length of an arc, L

L = θ / 360° * (2πr)

r = Radius = 4 ; θ = 72

Hence,

L = 72/360 * (2π4)

L = 1/5 * 8π

L = 8π/5

Step-by-step explanation:

done hope this helped you

Answer:

c and e is your answers

Step-by-step explanation:

Hope it helps :3

Answer:

The green triangle is the rotation.  It is rotated 90 degrees about the origin (0,0).  P is at (-1.1).  Q is at(-2,3).  R is at (-5,2).

The red triangle is the reflection.  It has been reflected over the x=axis.  X is at (1,-1).  Y is at (3,-2).  Z is at (2,-5).

Step-by-step explanation:

The green triangle is the rotation.  It is rotated 90 degrees about the origin (0,0).  P is at (-1.1).  Q is at(-2,3).  R is at (-5,2).

The red triangle is the reflection.  It has been reflected over the x=axis.  X is at (1,-1).  Y is at (3,-2).  Z is at (2,-5).

Answer:

4 to the 2nd power is the equivalent to 2 to the 4th power

Step-by-step explanation:

2⁴ = 16 = 4²

Answer:

16

Step-by-step explanation:

2*2*2*2= 16

Answer:

A

Step-by-step explanation:

Answer:

58.1

Step-by-step explanation:

Answer:

Your answer is 2.

Answer:

5.0 =x

Step-by-step explanation:

Since this is a right triangle

tan theta = opp side/ adjacent side

tan 50 = x / 4.2

4.2 tan 50 = x

5.005365089 =x

Rounding to the nearest tent

5.0 =x

Answer:

1. [tex]a = 8[/tex]

2. [tex]b = \frac{1}{8}[/tex]

3. [tex]c = 2 \frac{3}{5}[/tex]

4. [tex]d = \frac{13}{50}[/tex]

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

Answer:

7m

Step-by-step explanation:

18/6 = 3

24/8 = 3

21/x = 3

21/3 = 7

x = 7

Answer: No.

Step-by-step explanation:

The reason why it is not enough is that 0.45 kilograms is 450 grams, and when you divided 450 by 9, you get 50, which is 10 less than 60. Therefore, 1 bottle of spice is not enough for 9 weeks.

Answer:

No

Step-by-step explanation:

Half of a kilogram or 0.5 is 500 grams.

The total grams for nine weeks (60 x 9) is 540

Since Martha bought a 0.45 kilogram bottle, which is less than a half, she doesn't have enough of the spice.

Martha would need a 0.54 kilogram bottle to have the right amount.

Answer:

78 inches

Step-by-step explanation:

5 hours = 390 inches

1 hour = 390 / 5

1 hour = 78 inches

Therefore the snail travels 78 inches in 1 hour.

Hope this helps!

Answer:

65 degrees

Step-by-step explanation:

Angles in a triangle add to 180°.

Answer:

8.4%

Step-by-step explanation:

let x = interest rate

55,000(1 + x)^16 = 200,000

divide both sides by 55,000

(1 + x)^16 = 3.636

find the invese of 16

1 + x = 1.084

x = 0.084

x = 8.4

Answer:

x = 3.6

Step-by-step explanation:

Since ABCD ~ EFGH, therefore:

AB/EF = AD/EH

AB = 3

EF = 2

AD = x

EH = 2.4

Plug in the values into the equation:

3/2 = x/2.4

Cross multiply

3*2.4 = 2x

7.2 = 2x

Divide both sides by 2

7.2/2 = x

3.6 = x

x = 3.6

Answer:

6

Step-by-step explanation:

Answer:

P'(C) = 0.98

Step-by-step explanation:

Given that,

P(C) = 0.02 (The probability of getting C)

We need to find the complement of P(C) i.e. P'(C).

We know that,

P(C)+P'(C)=1

P'(C) = 1-P(C)

= 1-0.02

= 0.98

So, the complement of P(C) is equal to 0.98.