The permiter of a square with 12 inches and 2 semicircles are ...


The area of a square that is 12 inches and 2 semicircles are...

Answer:

1. 1.55π,

2. 16π,

3. 2.45π,

4. ( About ) 5.56π,

5. 13.7π

6. ( About ) 1.78π

Step-by-step explanation:

1. Let us keep the answer in terms of π, for the simplicity;

Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

62 / 360 = Area of sector / 9π,

62 * ( 9π ) = 360 * Area of sector,

558π = 360 * Area of sector,

Area of sector; 1.55π

2. Area of Circle ⇒ π * r^2 = π * ( 8 )^2 = 64π,

Area of sector ⇒ 1 / 4 * 64π = 16π,

Area of sector; 16π

3. Area of Circle ⇒ π * r^2 = π * ( 3 )^2 = 9π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

98 / 360 = Area of sector / 9π,

98 * ( 9π ) = 360 * Area of sector,

882π = 360 * Area of sector,

Area of sector; 2.45π

4. Area of Circle ⇒ π * r^2 = π * ( 4 )^2 = 16π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

125 / 360 = Area of sector / 16π,

125 * ( 16π ) = 360 * Area of sector,

2000π = 360 * Area of sector,

Area of sector; ( About ) 5.56π

5. Area of Circle ⇒ π * r^2 = π * ( 6 )^2 = 36π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

137 / 360 = Area of sector / 36π,

137 * ( 36π ) = 360 * Area of sector,

4932π = 360 * Area of sector,

Area of sector; 13.7π

6. Area of Circle ⇒ π * r^2 = π * ( 2 )^2 = 4π,

Degree measure of arc / Degree measure of circle = Area of sector / Area of Circle,

160 / 360 = Area of sector / 4π,

160 * ( 4π ) = 360 * Area of sector,

640π = 360 * Area of sector,

Area of sector; ( About ) 1.78π

Answer:

[tex]\sqrt{x^{2}-7[/tex]

Step-by-step explanation:

Negative exponents flip the fraction, fraction exponents imply a radical to the denominator's degree, so flip the fraction and take the square root of what is in parentheses

We know that :

[tex]\bigstar \ \ \boxed{\mathsf{a^{-1} = \dfrac{1}{a}}}[/tex]

[tex]\mathsf{Given \ question \ is : \dfrac{1}{(x^2 - 7)^{\frac{-1}{2}}}}[/tex]

Using the above formula, we can write it as :

[tex]\implies \mathsf{\dfrac{1}{\dfrac{1}{(x^2 - 7)^{\frac{1}{2}}}}}[/tex]

[tex]\implies \mathsf{(x^2 - 7)^{\frac{1}{2}}}[/tex]

[tex]\implies \mathsf{\sqrt{x^2 - 7}}[/tex]

Answer:

Yes

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

In the image attached you can observe that we have three prism, we need to find their volumes. Remember, the volume of any prism is the product between its base-area and its height.

This is a trapezoidal prism, which is defined as

[tex]V_{a}=\frac{(B+b)h_{1} }{2} \times h_{2} \\ V_{a}=\frac{(12+9)4}{2} \times 16\\ V_{a}=42 \times 16 = 672 \ cm^{3}[/tex]

This is a triangular prism, which is defined as

[tex]V_{b}=\frac{1}{2} b \times h_{1} \times h_{2}\\ V_{b}= \frac{1}{2} \times 36 \times 25 \times 53\\ V_{b}=23,850 \ cm^{3}[/tex]

In this prism, 6 decimeters are equivalent to 60 centimeters. It's volume is defined as

[tex]V=\frac{1}{2} \times 48 \times 60 \times 80 = 115, 200 \ cm^{3}[/tex]

Answer:

1/4 or .25

Step-by-step explanation:

8x =2

Divide by 8 on both sides

8x=2

__. ___

8.     8

x = 2/8=1/4 or .25

Answer: x equals 1/4 or 25% or 0.25

Answer:

25/6 or 4 1/6

Step-by-step explanation:

1) convert these fractions to improper fractions first:

8/3+3/2

make like denominators  by multiplying 8/3 by 2 and 3/2 by 3

so 8*2/3*2=16/6

3*3/2*3=9/6

16/6+9/6=25/6

Hope this helps!

Answer:  25/6 or 4.16

Step-by-step explanation:

Answer:

Factor:

9x2 – 64

=(3x+8)(3x−8)

3x – 8

Answer:

x = −1, x = 1, and x = - 3

Step-by-step explanation:

hello :

if : x=1      1^3 + 3×1^2 − 1 − 3 =1+3-1-3 =4-4=0......true

if : x=-1     (-1)^3 + 3×(-1)^2 +1− 3 =-1+3.+1-3.=0...true

if : x=3      (-3)^3 + 3×(-3)^2 + 3 − 3 =-27+27+3-3.=0.....true

Answer:

$629.75

Step-by-step explanation:

2,939.12 (Monthly net pay) - 1379 (Mortgage) - 302 (Food) - 448.37 (Car) - 230 (Gas) = 629.75 (Subtotal)

Answer:

10 and 2

Step-by-step explanation:

10+2=12

10 is even

2*2=4  10-4+6

Hope this helps ! :)

Answer:

A. 525.42 inches^3

B. 175.91 mm

Step-by-step explanation:

a. Here we are asked to calculate the volume of the cone given the radius and the height of the cone.

Mathematically, the volume of the cone can be calculated using the formula below;

V = 1/3 * π * r^2 * h

where r is the radius which is 5.1 inches and h is the height of the megaphone = 19.3 inches

Plugging these values, we have;

V = 1/3 * 3.14 * 5.1^2 * 19.3 = 525.42 inches^3

b. Here we are tasked with calculating the height given the value of the volume and the radius.

mathematically, the formula to use is

V = 1/3 * π * r^2 * h

where V = 356,456.2136 cubic millimeter and r is 44mm

plugging these values we have

356,456.2136 = 1/3 * 3.14 * 44^2 * h

h =( 1,069,368.6408)/6,079.04

h = 175.91 mm

The student did not properly distribute the 4 to all terms in the parenthesis:

-8n + 4(1 + 5n) = -6n - 14

First, distribute 4 to ALL terms in the parenthesis:

-8n + 4 + 20n = -6n - 14

Next, isolate the variable, n. Add 6n and subtract 4 from both sides:

-8n + 20n (+6n) + 4 (-4) = -6n (+6n) - 14 (-4)

-8n + 20n + 6n = -14 - 4

Simplify. Combine like terms:

(-8n + 20n) + 6n = -18

12n + 6n = -18

18n = -18

Isolate the variable, n. Divide 18 from both sides:

(18n)/18 = (-18)/18

n = (-18)/18

n = -1

n = -1 is your answer.

~

Answer:

-According to the student's work shown, The student needs to distribute 1 and 5[tex]n[/tex] by 4. So, the mistake was that the student did not distributed the 1 and 5[tex]n[/tex], in which the student only distributed the 1.

-The equation: [tex]8n + 4(1+5n)=-6n-14[/tex]

-Distributed Incorrectly:

[tex]8n + 4+5n=-6n-14[/tex]  (only distributed the 1 by the 4)

-Distributed Correctly:

[tex]8n + 4+20n=-6n-14[/tex]  (distributed both 1 and 5[tex]n[/tex] by the 4)

-The correct calculation:

[tex]8n + 4(1+5n)=-6n-14[/tex]

[tex]8n + 4+20n=-6n-14[/tex]

[tex]12n+4 = -6n -14[/tex]

[tex]12n + 4+ 6n=-6n+6n-14[/tex]

[tex]18n +4 = -14[/tex]

[tex]18n +4 -4 = -14 -4[/tex]

[tex]18n = -18[/tex]

[tex]\frac{18n}{18}= \frac{-18}{18}[/tex]

[tex]n = -1[/tex]

The correct answer is [tex]n = -1[/tex] .

Answer:

1294000

Step-by-step explanation:

There are two ways to do this: The short way and the long way:

Answer:

36

Step-by-step explanation:

12x3=36

Lxwxh

Axh

Answer:

18,6,108

Step-by-step explanation:

edge2020

Answer:

Step-by-step explanation:

4 ft

Answer:

Step-by-step explanation:

4 ft

brainliest pls i need it :,)

Answer:~0.9998

Step-by-step explanation: cos T = side adj. to angle t / the hypotenuse

Cos t = 56/65 ~ 0.998

Answer:y=4

Step-by-step explanation:

2(5y-2)=12+6y

10y-4=12+6y

4y-4=12

4y=16

y=4

Answer:

i believe the perimeter is 36 im sorry if its not correct

Step-by-step explanation:

simple adding

Answer:

circumference of the cake board = 109.9 cm

Step-by-step explanation:

diameter of cake = 30cm

diameter of cake board = 5cm longer than 30cm = 5 + 30 = 35cm

radius cake board = diameter ÷ 2 = 35 ÷ 2 = 17.5 cm

radius of cake board = 17.5 cm

circumference of a circle = 2 × π × r    (where π = 3.14)

circumference of a circle = 2 × 3.14 × 17.5 = 109.9 cm

Therefore the circumference of the cake board = 109.9 cm

Answer:

35pi

Step-by-step explanation:

brainliest maybe?

Answer:

2.5

Step-by-step explanation:

2/3 *(3+3/4)=2.5

Answer:

[tex]\frac{5}{2}[/tex] or [tex]2\frac{1}{2}[/tex] or 2.5

Step-by-step explanation:

[tex]\frac{2}{3}*3\frac{3}{4}[/tex]

Convert [tex]3\frac{3}{4}[/tex] to an improper fraction. You can do this by multiplying the whole number by the denominator and add the numerator; all of this over the same denominator.

[tex]3\frac{3}{4}=\frac{3*4+3}{4} =\frac{12+3}{4} =\frac{15}{4}[/tex]

Now work it out.

[tex]\frac{2}{3}*\frac{15}{4}=\frac{30}{12}=\frac{15}{6}=\frac{5}{2}[/tex]

In case you need a mixed number as the answer, we can convert from improper fraction to mixed number.

5/2=2

4

----

1

the 2 after the equal sign is the big number, the 1 is the numerator and the 2 before the equal sign in the denominator.

[tex]2\frac{1}{2}[/tex]

Answer:

-40

Step-by-step explanation:

Work backwards

4 * -7 = -28

-28 - 12 = -40

Answer:

16

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

In any triangle, the sum of the measures of the angles is 180 degrees.

(5x + 5) + (x + 16) + (2x + 7) = 180

Combine like terms.

8x + 28 = 180

8x = 152

x = 19

Answer:

work is shown and pictured

Answer:

9

Step-by-step explanation:

2/3 = 2/3 × 3/3 = 6/9

7/9 = 7/9 × 1/1 = 7/9

Answer:

(b) 15/50

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question:

There are 25+15+10 = 50 small balls.

Of those, 15 are blue.

Probability of taking a blue ball:

15/50

This means that (b) is the correct answer.

Answer:

The solution is 2.5. The problem can be solved using the proportion:  

2

4

=

x

5

Step-by-step explanation:

I hope it makes since =)