A model of a house is shown.
+ 12х + 3
14х + 13
What is the perimeter, in units, of the model?
О64х + 24
О46х + 25
O32х + 12
050x +11

Answer:

intersecting

Step-by-step explanation:

parallel lines have the same slope

perpendicular lines have slopes that are negative reciprocals

20th term= 119

Step-by-step explanation:

Let the first term of AP be a

and common difference be d

nth term is given by,

= a+(n-1)d

6th term = 35

a+(6-1)d= 35

a+5d=35 -----------------(i)

13th term = 77

a+12d= 77----------------(ii)

Now, equation (ii) - (i)

a+12d-(a+5d)= 77-35

a+12d-a-5d= 42

7d=42

d=6

Now, from equation (i)

a= 35-5d= 35-5(6)= 35-30 = 5

20th term= a+19d= 5+19(6)= 119

In an arithmetic progression, the difference between any two successive terms is constant. By using this rule and the term numbers and values given, we can determine that the 20th term of the arithmetic progression is 119.

We have two pairs of term number and term value in the arithmetic progression (AP), which are (6, 35) and (13, 77). In an arithmetic progression, the difference between any two successive terms is constant, known as the common difference.

We can calculate the common difference (d) as (77-35)/(13-6) = 42/7 = 6.

Next, we find the first term (a) using the formula for the nth term of an AP, which is a = An - (n-1)*d. Using 6th term values, a = 35 - (6-1)*6 = 5.

Finally, we find the 20th term (A20) using the formula An = a + (n-1)*d. This gives us A20 = 5 + (20-1)*6 = 119.

So, the 20th term of this arithmetic progression is 119.

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Given:

Given that the radius of the semicircle is 4 units.

We need to determine the area of the semicircle.

Area of the semicircle:

The area of the semicircle can be determined using the formula,

[tex]A=\frac{\pi r^2}{2}[/tex]

Substituting π = 3.14 and r = 4, we get;

[tex]A=\frac{3.14 \times (4)^2}{2}[/tex]

Simplifying, we get;

[tex]A=\frac{3.14 \times 16}{2}[/tex]

Multiplying, we get;

[tex]A=\frac{50.24}{2}[/tex]

Dividing, we get;

[tex]A=25.12[/tex]

Thus, the area of the semicircle is 25.12 square units.

Answer:

B

Step-by-step explanation:

[tex]x_0 = \frac{ - b}{2a} = 0 \\ y_0 = {0}^{2} + 3 = 3[/tex]

Answer:

The number is 6902

Step-by-step explanation:

Is means equals and of means multiply

What = 145% * 4760

Change to decimal form

What = 1.45 *4760

What =6902

[tex]V = \pi r^{2} \times h[/tex]

[tex]r = 11 \div 2 = 5.5 \\ h = 14 \\ \pi = 3.14[/tex]

[tex]V = 3.14 \times 5.5 ^{2} \times 14 = 1,329.79[/tex]

Answer: V=1,329.8

Answer:

Step-by-step explanation:

Given

diameter (d) = 11 cm

Height(h) = 14 cm

first calculating the radius

radius = d/2 = 11/2 = 5.5 cm

Now

Volume of the cylinder

=[tex]\pi r^{2}h[/tex]

= 3.14 * (5.5)^2 * 14

= 1329.8 cm^3

Hope it will help

Answer:

Score: 0 - 100

Frequency: 5

Score: 100 - 200

Frequency: 6

Score: 200 - 300

Frequency: 5

Score: 300 - 400

Frequency: 3

Score: 400 - 500

Frequency: 1

Answer:

The answer is 252 square inches

Answer: StartFraction 1 Over 64 EndFraction

Step-by-step explanation: Based on the pattern, the fraction keeps increasing. It keeps multiply itself by 2.

(I could be wrong, hopefully I'm Not)

The required value of a is 1/64.

Table is given y = [tex]2^x[/tex]
X =   -1     -2     -3    -4     -5      -6
Y =  1/2    1/4   1/8  1/16   1/32     a
Value of a tube determine.

Geometric progression is sequence of series whose ratio with adjacent values remains same.

For a
y = [tex]2^x[/tex]
put 6 in above equation
a = 2^-6
a = 1/2^6
a = 1/64

Thus, The required value of a is 1/64.

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Answer:

The distance travelled was 314 inches.

Step-by-step explanation:

In order to calculate the distance that the unicycle will travel in 4 revolutions we first need to know the length of it's wheel, this is calculated by using the formula bellow:

length = 2*pi*r

Where r is the radius of the wheel that is equal to r = d/2

length = 2*pi*(d/2) = 2*3.14*(25/2) = 3.14*25 = 78.5 inches

If the wheel made 4 complete revolutions then the distance travelled was 4 times the length of it's wheels. We have:

distance = 4*length = 4*78.5 = 314 inches

The distance travelled was 314 inches.

Answer:

a.) Let the total number be : x

∴(73.7÷x) ×100 = 55%

∴x= (73.7×100) ÷ 55

=> 7370÷55

∴x=134

Thus, Option-A.

----------------------------------------------------

b.) Let the percentage  be : x

∴x= (46÷65) ×100  

∴x= (0.707) × 100

∴x=70.7%

Thus, Option-B.

MARK AS BRAINLIEST.

Answer:

C) x = -1

Step-by-step explanation:

I graphed the equation below on the graph.

If this answer is correct, please make me Brainliest!

Answer:

C

Step-by-step explanation:

Answer: FBE

Step-by-step explanation:

EDGE

Answer:

Step-by-step explanation:

1) 10a - 7a = 3a     {10a & 7a are like terms. So we can subtract}

5a + 2a - 4a = 7a - 4a = 3a        {5a, 2a, 4a are like tems}

So, 10a - 7a and 5a + 2a  - 4a are equivalent expressions

2) 9 - 4y and 4y - 9 are not equivalent

3)  6 + s means 6 is added to s

  6s means 6 is multiplied by s.

6 + s  and  6s are not equivalent expressions

4)  2c + 6c +9 - c - 4 = 2c + 6c - c + 9 - 4

                                 = 8c - c + 5

                                 = 7c + 5

7c + 5

2c + 6c +9 - c - 4  and 7c + 5 are equivalent expressions

Answer:

FG = 9.7ft

Step-by-step explanation:

Find the diagram in the attachment.

The diagram is a right angled triangle since one of its angle is 90°

Using SOH CAH TOA to calculate the length FG which is the hypotenuse.

According to SOH

Sin∠G = Opposite/Hypotenuse

To get the ∠G,

∠F+∠H+∠G = 180°

18°+90°+∠G = 180°

∠G = 180°-108°

∠G = 72°

Sin72° = 9.2/FG

FG = 9.2/sin72°

FG = 9.67feet

FG = 9.7ft (to the nearest tenth of a foot)

Answer:9.7

Step-by-step explanation:

Cos 18= 9.2/X

Cross multiple

Divided each side by 18

9.2/cos18

Answer:

50%

Step-by-step explanation:

In dice, there are 6 numbers, and less than 4 is 1, 2, or 3. 3/6=50%

He have to buy 4 bags to put all the dirt at once.

Step-by-step explanation:

Radius = 17 inches

Height = 28 inches

Volume of dirt from the cylindrical hole = π(r x r) h

= π(17 x 17) 28

= (3.14) (289) 28

= 25408.88 cubic inches

1 foot = 12 inches

Volume of dirt the bag can hold= 24 x 18 x 48

= 20736 cubic inches of dirt

The man fills only one third of the bag.

The volume of dirt the man fills = (1/3)20736

= 6912 cubic inches

Total bags = 25408.88/6912

= 3.69

= appx. 4 bags

He have to buy 4 bags to put all the dirt at once.

Answer:

the answer is 5

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

I know its 8 because of using PEMDAS

well first in the equation you can divide and add so in PEMDAS diving comes before adding so 12/2=6 and 2+6=8

Answer:

3/10

Step-by-step explanation:

Total paper clip =6+3+4+2+5

=20

Probability of green = number of green/total

= 6/20

leaving in it's lowest term

probability of green=3/20

Answer:

Actually the Answer is B

Step-by-step explanation:

The reason, cause I just chose C and got the answer wrong. Here’s further proof.

Answer: it’s D

Step-by-step explanation: got it wrong and it’s D

Step-by-step explanation:

[tex] \frac{1000}{ \frac{1}{4} } [/tex]

Doing reciprocal we get

= 1000 * 4

= 4000

Hope it will help you.

Answer:

4000

Step-by-step explanation:

If you divide by a fraction, you get the reciprocal of the fraction, and multiply by it

The reciprocal of 1/4 is 4

1000 * 4 is 4000

Answer:

100

Step-by-step explanation:

x = 5 × 20 = 100

.........................

Step-by-step explanation:

[tex]{x}^{2} + 4x - 7 = 0[/tex]

Take -7 to the other side making it +7

Half the coefficient of x and square it

[tex] \frac{1}{2} \times 4 = 2[/tex]

Square the answer

[tex]{2}^{2} = 4[/tex]

Join your answers

[

[tex](x + 2) - 4 = 7[/tex]

Take -4 to the other side making it +4

[tex](x + 2) = 7 + 4 \\

(x + 2) = 11

[/tex]

Square root both sides

[tex] \sqrt{x + 2}= \sqrt{11} [/tex]

[tex]x + 2 = \sqrt{11} [/tex]

Take +2 to the other side

[tex]x = - 2 \ + or - \sqrt{11} [/tex]

[tex]x = - 2 + \sqrt{11} [/tex]

or

[tex]x = - 2 - \sqrt{11} [/tex]

This can be your answering surd form if required or in decimals

Answer:43

Step-by-step explanation:118+15+x=180

x=43

Answer:

Angle F is 47°

Step-by-step explanation:

The measure of all the angles on a triangle is 180°, so you subtract the 2 given angles (A and B) to find the 3rd angle (C). That third angle is equal to the corresponding angle (F) on the similar triangle (DEF).

Answer:

2. a) 0.80a + 1.25c =i

   b) 4 x 0.80 = 3.2

       2 x 1.25 = 2.5

       3.2 + 2.5 = 5.7

4. a) 30

   b) 9

   c) 50

   d) 22.4

Answer:

  x = 0 and x = 4

Step-by-step explanation:

The two terms on the right have x as a common factor, so the function can be factored as ...

  y = x(x -4)

The zeros are the values of x that make y = 0, so we want the solutions to ...

  0 = x(x -4)

The Zero Product Rule tells us that a product will be zero if and only if at least one factor is zero. Here, the factors are x and (x-4). They are zero when ...

  x = 0   or   x = 4  . . . . . the zeros of the function

Answer:

You can graph it doing either first, trick question

Step-by-step explanation:

Answer:

The order in which you write x- and y-coordinates in an ordered pair is very important. The x-coordinate always comes first, followed by the y-coordinate.

Step-by-step explanation: