Express the form 1:n
Give n as a decimal

20 : 4

Answer:

14 square inches

Step-by-step explanation:

Given shape is obtained by joining two rectangles of dimensions 4 by 2 inches and 3 by 2 inches.

Hence,

[tex]Area \: of \: the \: figure \\ = 4 \times 2 + 3 \times 2 \\ = 8 + 6 \\ = 14 \: {inches}^{2} [/tex]

Answer:

26cm^2

Step-by-step explanation:

To calculate area of a triangle we multiply height with base and that divided by two

13 × 4 ÷ 2 = 26cm^2

Answer:

2(9+6)

Step-by-step explanation:

Answer:

S(t) = a.sin (b.t) + d

a = -1.5, b = (2π/365), d = 3.47

S(t) = -1.5 sin (2πt/365) + 3.47

Step-by-step explanation:

Complete Question is presented in the attached image to this solution.

- Dingane has been observing a certain stock for the last few years and he sees that it can be modeled as a function S(t) of time t (in days) using a sinusoidal expression of the form

S(t) = a.sin(b.t) + d.

On day t = 0, the stock is at its average value of $3.47 per share, but 91.25 days later, its value is down to its minimum of $1.97.

Find S(t). t should be in radians.

S(t) =

Solution

S(t) = a.sin(b.t) + d.

At t = 0, S(t) = $3.47

S(0) = a.sin(b×0) + d = a.sin 0 + d = 3.47

Sin 0 = 0,

S(t=0) = d = 3.47.

At t = 91.25 days, S(t) = $1.97

But, it is given that T has to be in radians, for t to be in radians, the constant b has to convert t in days to radians.

Hence, b = (2π/365)

S(91.25) = 1.97 = a.sin(b×91.25) + d

d = 3.47 from the first expression

S(t = 91.25) = a.sin (91.25b) + 3.47 = 1.97

1.97 = a.sin (2π×91.25/365) + 3.47

1.97 = a sin (0.5π) + 3.47

Sin 0.5π = 1

1.97 = a + 3.47

a = -1.5

Hence,

S(t) = a.sin (b.t) + d

a = -1.5, b = (2π/365), d = 3.47

S(t) = -1.5 sin (2πt/365) + 3.47

Hope this Helps!!!

Answer:

346.19 m²

Step-by-step explanation:

The diameter of the circular flower bed is 15 m and the length of the sidewalk round the flower bed is 3 m.

This means that an extra length of 3 m is added on each side.

The joint diameter of the flower bed and sidewalk is:

15 + 3 + 3 = 21 m

The radius is half of the diameter, that is 10.5 m

The area of the sidewalk is therefore:

A = pi * r²

Where r = radius

A = 3.14 * 10.5²

A = 346.19 m²

Answer:

275

Step-by-step explanation:

If they pay $2,200 to screen a movie and charge $8 a head then it's just division. 2200/8 is equal to 275.

the tickets should be 275 tickets..

Answer: 5/4c

Step-by-step explanation:

Hi, to answer this question we simply have to solve the equation given:

Coefficients are the numbers next to the variable; in this case, the variable is c.

c + 25/ 100c

1/1 c +25/100c

100/100c +25/100 c

125/100 c  

5/4c

Feel free to ask for more if needed or if you did not understand something.

Answer:

Step-by-step explanation:

Given that

We are given the following:

1. Boys who do play video games = 1593

2. Boys who do not play video games = 858

3. Total boys = 2451

4. Girls who do play video games = 1361

5. Boys who do not play video games = 1635

6. Total Girls = 2996

7. Total number of candidates = Total boys + Total girls

=(2451 + 2996) = 5447

8. Total number of students, who play video games = 2954

9. Total number of students, who do not play video games = 2493

Percentage of boys who play video games:

[tex]\dfrac{1593}{2451} \times 100 = 64.99\%[/tex]

So, option A is not correct.

Percentage of girls who play video games:

[tex]\dfrac{1361}{2996} \times 100 = 45.43\%[/tex]

so option B is correct. The percentage is near about 45%,

Percentage of Total number of students, who do not play video games:

[tex]\dfrac{2493}{5447} \times 100 = 45.77\%[/tex]

So, option C is not correct.

Answer:

x = -9, x = -2

Step-by-step explanation:

[tex]x^2 + 11x + 18 = 0[/tex]

What multiplies to get 18 and adds to get 11?

9 and 2

(x + 9) (x + 2)

x = -9 x = -2

Answer:

A

Step-by-step explanation:

-6a+2(2a+2)

-6a+4a+4

-2a+4

Answer:

-2a+4 is the answer

we need to follow BODMAS rule

Answer:

A =452.16 m^2

Step-by-step explanation:

The diameter is 24, so the radius is 1/2 of the diameter

r = 24/2 = 12

The area of a circle

A = pi r^2

A = 3.14 * (12)^2

A =452.16 m^2

The right answer is 452.16 square meters.( option C)

please see the attached picture for full solution

Hope it helps

Good luck on your assignment..

Answer:

AD and BE is perpendicular => angle BED = 90 deg.

Otherwise angle CED = arc CD = 30 deg

=> angle BEC = angle BED - angle CED = 90 - 30 = 60 deg

Suppose a, b and c are 3 sides of a triangle in which a < b < c.

As property of length of sides a, b, and c of a triangle:

c - b < a < c + b

b - a < c < b + a

c - a < b < c + a

=> 6.7 inches, 1.1 inches, and 7.9 inches are not sides of a triangle

Check:

7.9 - 1.1 < 6.7 <=> 6.8 < 6.7  <=> invalid!

Hope this helps!

:)

Answer:

Each graph has one y-intercept, which is a solution.

Step-by-step explanation:

I used the process of elimination, so none of the others were true, or explained why there were two solutions.

I hope this helps you!

Answer:

15%

Step-by-step explanation:

first find the difference in profit:

3162.50-2750 = 412.50

Now find the percentage increase:

412.50/2750 x 100 = 15%

Hope this helps.

Good Luck

Answer:

Answer: The profit percentage increase = 15%

Step-by-step explanation:

Subtract 3162.50 - 2750 = 412.5

412.5/2750 x 100 = 15  percent

Answer:

80%

Step-by-step explanation:

We need to find the percent of change from 3,545 pt to 709 pt.

Original value is 3,545

Changed value is 709

Percent change is given by :

[tex]\%=\dfrac{\text{difference in values}}{\text{original value}}\times 100\\\\\%=\dfrac{3545-709}{3545}\times 100\\\\\%=80\%[/tex]

So, there is 80% of change from 3,545 pt to 709 pt.

Answer:

27/4

Step-by-step explanation:

2x + 8 - 8y

2x - 8y + 8

2 * (1/8) - [ 8 * (3/16)] +8

(1/4) - (3/2) + 8

[tex]\frac{1 - 6 + 32}{4} = \frac{27}{4}[/tex]

Answer:

5.3 cm

Step-by-step explanation:

[tex]area \: of \: \triangle = \frac{1}{2} \times base \times height \\ \\ 10.6 = \frac{1}{2} \times base \times 4 \\ \\ 10.6 = base \times 2 \\ \\ base = \frac{10.6}{2} \\ \\ base = 5.3 \: cm[/tex]

Answer:

option C

Step-by-step explanation:

[tex]\frac{\frac{2x-1}{x+2}}{\frac{7}{x^{2}-12}}=\frac{2x-1}{x+2}*\frac{x^{2}-12}{7}\\\\\\=\frac{(2x-1)(x^{2}-12)}{7(x+2)}[/tex]

Answer:

The area of triangle is 32 cm².

Step-by-step explanation:

When you fold a square into triangle, the length of sides will still be the same. So using area of triangle formula, you are able to find the area :

[tex]area = \frac{1}{2} \times width \times height[/tex]

Let width = 8cm,

Let height = 8cm,

[tex]area = \frac{1}{2} \times 8 \times 8[/tex]

[tex]area = \frac{1}{2} \times 64[/tex]

[tex]area = 32 \: {cm}^{2} [/tex]

Given:

To find out:

Find the area of half fold paper ( triangle) ?

Formula used:

Area of triangle = ½ × b × h

Solution:

We know that,

Area of triangle = ½ × b × h

☆ Substituting the values in the above formula,we get

Area of triangle = ½ × 8 × 8

= 4 × 8

= 32 cm²

Hence the area of given triangle is 32 cm².

Answer: 3) cos 46 degrees

Step-by-step explanation:

Answer:

5.78

Step-by-step explanation:

S=[tex]\frac{1}{2}[/tex](a+b)*h

a = 1.8

b = 5

h = 1.7

S = [tex]\frac{1}{2}[/tex](1.8+5)*1.7

S = (6.8*1.7)/2

S = 11.56/2

S = 5.78

Answer:

there will be 16 bags

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

25-18=7

hope this helps.

Solution,

Total gumballs=25

Remaining=18

Now,

total- remaining

=25-18

=7

Hope it helps

Good luck on your assignment

Answer:

Fraction of the garden used =  [tex]\frac{5}{8}[/tex]

Step-by-step explanation:

The fifth graders to plant a butterfly garden.

We are given that

Clover grows in ½ of the garden

Daisies grow in ¼ of the garden

Coneflowers grow in ⅛ of the garden

milkweed grows in ⅛ of the garden

The fifth graders notice that the butterflies land on the clover and milkweed.

We are asked to find out the fraction of the garden that the butterflies used.

Fraction of the garden used = clover + milkweed

Fraction of the garden used =  [tex]\frac{1}{2} + \frac{1}{8}[/tex]

The LCM of 2 and 8 is 8

Fraction of the garden used =  [tex]\frac{4 +1}{8}[/tex]

Fraction of the garden used =  [tex]\frac{5}{8}[/tex]

Therefore, the butterflies used [tex]\frac{5}{8}[/tex] fraction of the garden.

Answer:

9,670

Step-by-step explanation:

8,219.5 ÷ 85% (0.85) = 9,670

The height of the volcano is reduced after the eruption, then the original height of the volcano is 9670 feet.

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given information in the question,

Height of the volcano after eruption = 8,219.5 feet

Let the original height of the volcano is x.

85% of x = 8219.5

x = (8219.5 × 100)/85

x = 9670 feet.

To know more about percentages:

https://brainly.com/question/29306119

#SPJ5

Answer:

I believe you have to add 15.9 on both sides

Answer:

[tex](3,29)[/tex]

Step-by-step explanation:

There is a formula that can be used to find the x-value of the vertex of the parabola. This formula is [tex]x=\frac{-b}{2a}[/tex]

We have the function [tex]g(x)=-3x^2+18x+2[/tex]

From this function, we can find that

[tex]a=-3\\b=18\\c=2[/tex]

We can plug in our know values into the formula to get

[tex]x=\frac{-18}{2(-3)\\} \\x=\frac{-18}{-6} \\\\x=3[/tex]

Then we can plug in our x-value to find the y-value of the vertex

[tex]g(3)=-3(3)^2+18(3)+2\\\\g(3)=-3(9)+54+2\\\\g(3)=-27+54+2\\\\g(3)=29[/tex]

This means that the vertex would be [tex](3,29)[/tex]

Answer:

C. (3,29)

Step-by-step explanation:

Edge 2020

Answer:6/12

Step-by-step explanation:

Answer:

2 9

Step-by-step explanation: yikes