The sum of the first 130 positive even integers

Answer:

The area of a circle with radius 19.5 is 1195

Answer:

1194.59

Step-by-step explanation:

A=πr2=π·19.52≈1194.59061

Answer:

36 unit cubed

Step-by-step explanation:

V = b * h * l

V = 6 * 3 * 2

V = 36

Answer:

50M

Step-by-step explanation:

The area of a trapezium = 1/2 x ( a + b) x h

a and b are the parallel sides

h = height

300sqm = 0.5 x (10 + b) x 10

divide both sides by 10

30 = 0.5 x  (10 + b)

Divide both sides by 0.5

60 =  (10 + b)

b = 60 - 10 = 50

Answer:

11'12

Step-by-step explanation:

so peter is 5'6, and his shadow is 3'3, which means that its subtracted by 2'3, therfore the flagpole is 11'12, hope this helps :)

Answer:

I am also still waiting for the answer, if you do find it PLEASE let me know!

Step-by-step explanation:

Answer:

Manisha age = 15 years

Step-by-step explanation:

Let

Manisha age = x

Amir = 2/3 of Manisha age

Amir = 10 years

Amir:

2/3 of x = 10

2/3 * x = 10

2/3x = 10

x = 10 ÷ 2/3

= 10 × 3/2

= (10*3)/2

= 30/2

= 15

x = 15 years

Therefore,

Manisha age = 15 years

Answer:

[tex] a = 6 \\ b = 1 \\ c = - 6[/tex]

Step-by-step explanation:

[tex]6x^{2} + x - 6 = 0 \\ equating \: it \: with \\ a {x}^{2} + bx + c = 0 \\ a = 6 \\ b = 1 \\ c = - 6[/tex]

Answer:

No, it is not a right triangle.

Step-by-step explanation:

First lets define a right triangle.  A right triangle is a triangle with one side that equals 90 degrees.  When we look at 13, 64, and 86, we can see there are no sides that equal 90 degrees.

Answer:

4 times

Step-by-step explanation:

Given that :

Cups of liquid required = 2 2/3

Fraction of liquid cup added per 10 minutes = 2/3

The number of times 2/3 cups of liquid is added :

Total cups of liquid required / amount of liquid added at a time

2 2/3 ÷ 2/3

8/3 ÷ 2/3

8/3 * 3/2

24 / 6

= 4 times

Given:

The graph of a parabola.

To find:

The equation for the parabola.

Solution:

The vertex form of a parabola is:

[tex]y=a(x-h)^2+k[/tex]       ...(i)

Where, a is a constant and (h,k) is the vertex.

From the given graph it is clear that the vertex of the parabola is at point (-1,6). So, h=-1 and k=6.

Putting h=-1 and k=6 in (i), we get

[tex]y=a(x-(-1))^2+(6)[/tex]

[tex]y=a(x+1)^2+6[/tex]         ...(ii)

The y-intercept of the graph is at point (0,3). Putting x=0 and y=3 in (ii), we get

[tex]3=a(0+1)^2+6[/tex]

[tex]3-6=a[/tex]

[tex]-3=a[/tex]

Putting a=-3 in (ii), we get

[tex]y=-3(x+1)^2+6[/tex]

Therefore, the equation of the parabola is [tex]y=-3(x+1)^2+6[/tex].

Answer:

No.

Step-by-step explanation:

1=3*1/3

2=6*1/3

3=9*1/3

......

Yes, All the multiples of 1/3 also repeating decimals.

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The decimal form of 1/3 is a repeating decimal.

Now,

Since, The decimal form of 1/3 is a repeating decimal.

As, 1 / 3 = 0.33333...

And, Some of the multiples of 1/3 are;

1 / 3 = 1×2 / 3×2

      = 2 / 6

      = 0.33333....

And, 1 / 3 = 1×3 / 3×3

      = 3 / 9

      = 0.33333....

1 / 3 = 1×4 / 3×4

      = 4 / 12

      = 0.33333....

Thus, Yes, All the multiples of 1/3 also repeating decimals.

Learn more about the divide visit:

https://brainly.com/question/15330585

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Answer:

Answer: x-2 and x+5 side lengths should be used to model a rectangle.

Step-by-step explanation:

can u make me brainiest pls

Answer:

None of the 3 available answers models the given rectangle

I believe (x+5)(x-2) would be equal though.

Step-by-step explanation:

(x-5)(x+2) = x²+2x-5x-10

simplify:

x²-3x-10 ≠ x²+3x-10

(x)(x+3) = x²+3x

simplify:

x²-3x ≠ x²+3x-10

(x+3)(x-10) = x²-10x+3x-30

simplify:

x²-7x-30 ≠ x²+3x-10

Answer:

V= 232.4

Step-by-step explanation:

V= 1/3 x 28 x 24.9

Answer:

5

Step-by-step explanation:

5=1 x y

y=5

Answer:

22cm²

Step-by-step explanation:

For the area of triangle,

base = 2 + 2 + 2 = 6cm

height = 4cm

Area = 1/2 x base x height

= 1/2 x 6 x 4

= 12cm²

For area of the rectangle,

length = 5cm

breadth = 2cm

Area = length x breadth

= 5 x 2

= 10cm²

Area of compound shape = 12 + 10 = 22 cm²

Answer:

Midsegment is 35.

Step-by-step explanation:

TL; DR:

The smaller triangle (with a base of 6x + 5) has side lengths that are twice as small as the entire triangle (the one with a base of 3x+55). So, 2(6x+5) = 3x + 55. x = 5, so the midsegment is 35.

Look at the photo attached below.

Here is the statement/reason:

1. ED ║ AB (Midsegments are parallel to the base)

Note: Then, CA and CB are transversals

2. Then, m∠CED = m∠EAB (corresponding angles)

3. m∠CDE = m∠DBA (corresponding angles)

4. ΔCED is similar to ΔCAB (angle angle)

5. CA = CE + EA

6. CA = 39 + 39 = 78 (Substitution, algebra)

7. ED/AB = CE/CA (similar triangles)

Note: You can also use CD and CB

8. (6x+5) / (3x+55) = 39 / 78 (substitution)

9. (6x + 5) / (3x + 55) = 1 / 2 (algebra)

10. 12x + 10 = 3x + 55, x = 5 (algebra)

11. ED = 6x + 5 (given)

12. ED = 6*5 + 5 = 35 (substitution, algebra)

An explanation of the algebra:

(6x+5) is twice as small as (3x + 55). So, we can write this equation:

2(6x+5) = 3x + 55

12x + 10 = 3x + 55

Subtract 3x from both sides.

9x + 10 = 55

Subtract 10 from both sides.

9x = 45

x = 5.

Now, put that into ED.

6x + 5 = 6 * 5 + 5 = 35

I hope this helps! Feel free to ask any questions!

Answer: in an hour and  working  at the same rate, Lenny will make 250 sandwiches

Step-by-step explanation:

Number of sandwiches made in 12 minutes =50

Number of sandwiches made in 1 hour =   ??

1 Hour =  60 mins

Therefore, Number of sandwiches made in 60 mins =  (60 x 50) /12

=5 x 50 = 250 sandwiches

Answer:

3.25

hope this helped!!

Answer:

3.25

Step-by-step explanation:

13 / 4 is an improper fraction . when you divide 13 by 4 you get 3.25

Number one: Just plot down on the number like the numbers you have. Just took the test for this.

Given:

Consider the given polynomials are:

[tex]f(x)=7x^3+x^2-4x+10[/tex]

[tex]g(x)=x^2-5[/tex]

To find:

The polynomial function rule for [tex]g(x)+f(x)[/tex].

Solution:

We need to add both functions to get [tex]g(x)+f(x)[/tex].

[tex]g(x)+f(x)=(x^2-5)+(7x^3+x^2-4x+10)[/tex]

[tex]g(x)+f(x)=x^2-5+7x^3+x^2-4x+10[/tex]

On combining like terms, we get

[tex]g(x)+f(x)=7x^3+(x^2+x^2)-4x+(10-5)[/tex]

[tex]g(x)+f(x)=7x^3+2x^2-4x+5[/tex]

Therefore, the required function is [tex]g(x)+f(x)=7x^3+2x^2-4x+5[/tex].

Answer:

w = 4.

Step-by-step explanation:

-2/5 w+11 2/5=9 4/5

-2/5w + 57/5 = 49/5

Remove the fractions by multiplying thru by 5:

-2w + 57 = 49

-2w = 49 - 57

-2w = -8

w = 4.

Answer:

w=  -8/5

Step-by-step explanation:

Answer:

First number = 75.5

Second number = 45.5

Okay so multiple 17 times 8 and 16 times 33 and then add the answers together and you should get 664!

Step-by-step explanation:

here's your solution

=> Firstly divide above picture in two parts

=> 1st = traingle

=> 2nd = trapezium

=> area of traingle = 1/2*base*height

=> height = 8

=> we need to find out base by using Pythagoras formula

=> base^2 = 17^2 - 8^2

=> base^2 = 289 - 64 = 225

=> base = √225

=> base of traingle = 15

=> now, area of traingle = 1/2*15*8

=>60sq.units

=> area of trapezium = 1/2(sum of p. sides ) *

distance between them

=> area = 1/2*(33 + 15)*16

=> area = 1/2*16*48

=> area = 384sq.units

=> area of whole figure = 384 + 60

= 444 sq.units

Answer:

3 gallons

Step-by-step explanation:

Each wall 12 x 20 = 240 feet squared

4 walls =  4 x 240 = 960 squared feet

960 divided into 320 = 3

1 gallon --------320

1 gallon------------320

1 gallon-----------320

                    3 gallons----------960

Answer:

m=3     b=-2       y=3x-2

Step-by-step explanation:

The slope/m is 3 because the rise is 3 and the run is 1. Rise over run and you get 3/1 also known as 3.

The y-intercept point/b is -2 because you can look at the graph and the point where the line touches the y-axis is the y-intercept/b

The equation is written in the format of y=mx+b so y and then m is the slope then add x after the slope, then write the y intercept.

Answer:

Option A

Step-by-step explanation:

By applying Pythagoras theorem in ΔABC,

(Hypotenuse)² = (Leg 1)² + (Leg 2)²

AC² = AB² + BC²

AC² = 6² + 5²

AC = [tex]\sqrt{61}[/tex]

Similarly, by applying Pythagoras theorem in ΔACD,

AD² = AC² + CD²

(10)² = [tex](\sqrt{61})^2[/tex] + x²

x² = 100- 61

x² = 39

x = √(39)

Option A will be the answer.