write equivalent fractions for 1/3 and 2/5 using 15 as the common denominator

Answer:

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Step-by-step explanation:

C = (0, 7)

Since, point A lies on y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.

Therefore, plug x = 0 in y = 2x +1, we find:

y = 2*0 + 1 = 0 + 1 = 1

Hence, coordinates of point A are (0, 1).

Now, by distance formula:

[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]

[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]

[tex] AC= \sqrt{0 +36 }[/tex]

[tex] AC= \sqrt{36 }[/tex]

[tex] AC= 6\: units[/tex]

Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:

[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]

[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]

[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]

[tex] CB =\frac{6}{2.24} [/tex]

[tex] CB =2.68\: units [/tex]

By Pythagoras Theorem:

[tex] AB=\sqrt{AC^2 - CB^2} [/tex]

[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]

[tex] AB=\sqrt{36 - 7.18} [/tex]

[tex] AB=\sqrt{28.82} [/tex]

[tex] AB=5.36842621\: units [/tex]

[tex] AB\approx 5.37\: units [/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]

[tex] A(\triangle ABC) = 7.1958[/tex]

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Answer:

=−14x+18

Step-by-step explanation:

happy to help ya :)

Answer:

112

Step-by-step explanation:

so you split the question by doing 18 - 2 then do 4 + 3 then you mutiply the answer

Answer:

5

Step-by-step explanation:

Answer:

quadrant 1

Step-by-step explanation:

Answer:

12units²

Step-by-step explanation:

Given a triangle that has sides that measure 2 units, 5 units, and 5.39 units,

Perimeter of the triangle = 2 + 5 + 5.39

Perimeter of the triangle = 12.39units

since the circumference is equal to the perimeter of the triangle, hence;

C = 12.39units

C = 2πr

r is the radius of the circle

12.39 = 2(3.14)r

12.39 = 6.28r

r = 12.39/6.28

r = 1.973 units

Get the area

Area = πr²

Area of the circle = 3.14(1.973 )²

Area of the circle = 3.14(3.892)

Area of the circle = 12.22units²

Area of the circle ≈ 12units²

Answer:

D. 12 units2

Answer:

18

Step-by-step explanation:

24/36 = 8/12 = 2/3

2/3 * 9/9 = 18/27

Answer: 3rd option

Step-by-step explanation:

To graph y-3x>-2, find the boundary line. (y > -2 + 3x is your answer)

1. Find the equation of the boundary line.

2. Choose a point (x, y) on the shaded side on the line.

3. Plug x and y, in the boundary to identity the inequality sign.

Answer:

75% of 124 is 93

Step-by-step explanation:

  124 * 75%

= 124 * [tex]\frac{3}{4}[/tex]

= 31 * 3

= 93

Answer:

93

Step-by-step explanation:

75 / 100 x 124 = X

9300/ 100  = x

x = 93

Answer: I will tell you if you keep reading

Step-by-step explanation:

5y represents the mass of the sun and -23 is the degrees outside. So you have to find how many peices of chocolate bob has eaten in order to find the value (3x) 47

Answer: One number is 32, the other is 28

Step-by-step explanation:

Let's solve this problem with a system of equations

Let the x be one number, y be the other number

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

x+y=60

x-y=4

2x=64

x=32

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

Substitute x value into one of the equations

x-y=4

32-y=4

y=28

Hope this helps!! :)

Please let me know if you have any questions

Answer:

12

Step-by-step explanation:

12 x 10 = 120

Answer:

Step-by-step explanation:

Subtract C from both sides

R = P - C

The answer is

[tex]8 \frac{2}{5} [/tex]

Answer:

m=3 or m=1

since m+2=_1

therefore m=2+1 or m=2-1

m=3 or m=1

Answer:

Simplified= 7x+6 When x=3 the expression=27

Step-by-step explanation:

Answer:

35 degrees

Step-by-step explanation:

due to the correlation of the shuuuush

thats the answer dw

maybe this is what you are looking for

Step-by-step explanation:

part 1: 8p + 3w = 40

part 2: $4 left

Answer:

4925cm^2

Step-by-step explanation:

whole thing - small thing = shaded

small = 25 x 25 = 625

whole thing = a+b / 2 x h     =    111+111/2 x 50 = 5550

5550-625= 4925cm^2

Answer:

10*10/2=50

20^2-10^2=100

10*10/2=50

50+50=100

Step-by-step explanation:

Answer:

Step-by-step explanation:

11) 4(7x+3)=28x+12

12) 9(3y-5)=27y-45

Answer:

94

Step-by-step explanation:

Average = sum of numbers /  number of items in the set

for the first list, the average is 90 and there are four numbers, the sum of the numbers is 90 x 4 = 360

If the 4th number is 80, the sum of the first 3 numbers = 360 - 80 = 280

so the sum of the first three numbers on the second list is 260. The fourth number is 96. The sum of the numbers = 280 + 96 = 376

Average of the new list = 376 / 4 = 94

Answer:

See explanations below

Step-by-step explanation:

Let the numbers be 2 and 2

Taking the sum using the plus(+) sign

2 + 2 = 4

Taking the product using the multiplication sign (×)

2×2 = 4

You can see that the answer to both expression are equal even by changing the sign from + to × that is;

2+2 = 2×2 = 4

Answer:

Its switch direction because an open circle is only the great and less than signs.

Step-by-step explanation:

I hope this helps you! :D

Answer:

7.78

Step-by-step explanation:

Answer:

ydyeheuuru u ieuegeoeororpe

Answer:

1.50$

Step-by-step explanation:

difference in money amount: $6

difference in hours: 4

6 divided by 4 equals 1.50.

1.50 times 4 equals 6, hence its 1.50 per hour.

The rate of change in the Starbucks stock value is 150%.

Given that, At 10 AM, one share of Starbucks stock was $35. By 2 PM the price was $41.

We need to find the rate the Starbucks stock value was changing is - per hour.

A rate of change is a rate that describes how one quantity changes in relation to another quantity.

Now, the difference in money=41-35=$6

The number of hours between 10 AM to 2 PM is 4 hours.

The rate of change = The difference in money/Number of hours × 100

=6/4 × 100

=150%

Therefore, the rate of change in the Starbucks stock value is 150%.

To learn more about the rate of change visit:

https://brainly.com/question/12786410.

#SPJ2

Answer:

The breadth of rectangular carpet is 1.8 m.

Step-by-step explanation:

We have,

We know that,

= Area of rectangle = Length × Breadth

= 23.4 = 13 × Breadth

= 23.4/13 = Breadth

= 234/130 = Breadth

= 1.8 m = Breadth

Answer:

4 minutes

Step-by-step explanation: