Let $S = 2010 + 2011 + \cdots + 4018$. Compute the residue of $S$, modulo 2009.

Answer:

C

Step-by-step explanation:

took test

Answer:

Side e = 5.7

Step-by-step explanation:

Given

d = 10

f = 7

<E = 34°

Required

Calculate length of side e

This can be calculated using law of cosine as follows;

e² = d² + f² - 2 * d * f * Cos(<E)

Substitute 10 for d, 7 for f and 34 for <E. This gives

e² = 10² + 7² - 2 * 10 * 7 * cos34

e² = 100 + 49 - 140 * cos34

e² = 100 + 49 - 140 * 0.8290

e² = 100 + 49 - 116.06

e² = 32.94

Take Square Root of both sides

e = √32.94

e = 5.7 (Approximated)

Answer:

1131 cubic inches.

Step-by-step explanation:

The front side of the figure contains a rectangle and a semicircle.

Area of rectangle is

[tex]A_1=length\times breadth[/tex]

[tex]A_1=11\times 12[/tex]

[tex]A_1=132\text{ in}^2[/tex]

Radius of semicircle is

[tex]r=17-11=6\text{ in}[/tex]

Area of semicircle is

[tex]A_2=\dfrac{1}{2}\pi r^2[/tex]

[tex]A_2=\dfrac{1}{2}\pi (6)^2[/tex]

[tex]A_2\approx 56.55[/tex]

Area of front side is

[tex]A=A_1+A_2=132+56.55=188.55\text{ in}^2[/tex]

Let front side is the base of prism and height is 6 in. So, volume of given figure is

[tex]V=\text{Base area}\times height[/tex]

[tex]V=188.55\times 6[/tex]

[tex]V=1131.3[/tex]

[tex]V\approx 1131\text{ in}^3[/tex]

Therefore, the required volume is 1131 cubic inches.

Answer:

187

Step-by-step explanation:

A number m is such that when it is divided by 30, 36 and 45 the remainder is always 7.

We should first find the LCM of 30, 36 and 45

We get that the LCM of the three numbers is 280 (working attached).

So now;

[tex]\frac{180}{30}[/tex] = 6

[tex]\frac{180}{36}[/tex] = 5

[tex]\frac{180}{45}[/tex] = 4

But we need a number that leaves a remainder of 7 so we add 7 to 180 to get; 180 + 7 = 187.

TSA OF CONE = πr ( l + r )

= 22/7 * 6/2 cm ( 5 cm + 6/2 cm )

= 22/7 * 3 cm ( 5 cm + 3 cm )

= 22/7 * 3 cm * 8 cm

= 528/7 cm²

Answer: 55cm + X*4cm < Y.

Step-by-step explanation:

The initial height of the tree is 55cm

The tree will grow 4cm per month, for X months.

then the height of the tree is the initial height, plus X times 4cm

H = 55cm + X*4cm

If Y is the maximum height that this tree can grow, then we can write the inequality as:

H < Y.

55cm + X*4cm < Y.

Answer:

Paul=Steve

Step-by-step explanation:

Answer:

The expression that represents Paul’s height in inches is 3/4t - 16. The expression that represents Steve’s height in inches is 4/3t - 6. Paul and Steve are the same height, so the equation that represents this relationship is

3/2t - 16 = 4/3t - 6

( PLATO/EDMENTUM ANSWER)

Answer:

1 gallon and 1 pint

Step-by-step explanation:

I guess that the actual amount of water needed per player is 1/8 of gallon and not 18 gallons.

You will need to bring 9 x 1/8 = 9/8 = 1 ¹/₈ gallons or 1 gallon and 1 pint

1 gallon = 4 quarts = 8 pints = 16 cups = 128 ounces

or

1 gallon = 3.785 liters

The US is one of the few countries (along with Liberia, and Myanmar) that still uses the imperial system to measure things, e.g. inches, feet, yards, pounds, miles, pints, gallons, etc. The rest of the world uses the metric system, e.g. meters, liters, kilograms, etc.

Answer:

1 1/8

Step-by-step explanation:

i did it on edge

Answer:

what do u mean

Answer: FLOOR GANG OOOH

Step-by-step explanation:

Answer:

Poster’s perimeter = 150 in

Step-by-step explanation:

Given:

Width of poster = 2.5 ft = 2.5 × 12 = 30 in

Find:

Poster’s perimeter.

Computation:

Height of poster = [30×6]/4

Height of poster = 45 in

Poster’s perimeter = 2 [Width of poster + Height of poster]

Poster’s perimeter = 2 [30+45]

Poster’s perimeter = 2 [75]

Poster’s perimeter = 150 in

Answer:

17 cans

Step-by-step explanation:

18 cans

7 are taken away

18-7 =11

Then we put 6 back on

11+6 = 17

There are now 17 cans

Answer:

Step-by-step explanation:

6a(3-4y)+16b(3-4y)

(6a-16b)(3-4y)

2(3a-8)(3-4y)

Answer:

1. 30

2. 18

3. 460

4. 3

Step-by-step explanation:

According to the hierarchy of operations, we first need to solve {},[] or () (starting by the inner ones). Then the multiplications and divisions and lastly we will add and subtract. Therefore we have:

(i) (45 x 2) ÷ [ 28 – { 14 + 9 } ]

(90) ÷ [ 28 – { 14 + 9 } ] solved the ()

(90) ÷ [ 28 – { 25 } ]  solved the {}

(90) ÷ [ 3 ] solved the  []

30.      

ii) 72 ÷ [ 23 – { 4 + ( 3 x 5 ) }]

72 ÷ [ 23 – { 4 + ( 15 ) }]  solved the ()

72 ÷ [ 23 – {19) ] solved the {}

72 ÷ 4 solved the []

18

(iii) 102 + 13 × 8 + 125 ÷ 5 × 10

102 + 104 + 25 x 10 Solved the first multiplication and division

102 +104 + 250 Solved the multiplication

460  

(iv) 57 ÷ [ { ( 10 + 5) - 3 × 2 } + 10 ]

57 ÷ [ { 15 - 3 × 2 } + 10 ] solved the inner ()

57 ÷ [ { 15 - 6 } + 10 ]  solved the multiplication

57 ÷ [ 9 + 10 ] solved the {}

57 ÷ 19 solved the []

3

Answer:

to be honest I'm not sure how to do this question plz

Answer:

X=10

Step-by-step explanation:

the triangle is a right angled triangle so use pythagoras theorem a^2+b^2=c^2

x^2+(√200)^2=(√300)^2

x^2+200=300

x^2=300-200

x^2=100

x=√100=10

X=10

Answer:

The diagonal of kite intersect at the point p is C. 68°

Answer:

The roots of the quadratic function [tex]f(x) = -x^{2}-6\cdot x -8[/tex] are  [tex]x_{1} = -4[/tex] and [tex]x_{2} = -2[/tex].

Step-by-step explanation:

Let be [tex]f(x) = -x^{2}-6\cdot x -8[/tex], the function is now graphed by using a graphing tool and whose outcome is added below as attachment. After looking the image, the roots of the polynomial are [tex]x_{1} = -4[/tex] and [tex]x_{2} = -2[/tex], respectively. It can be also proved by algebraic means:

1) [tex]-x^{2}-6\cdot x -8=0[/tex] Given

2) [tex]-(x^{2}+6\cdot x+8 )= 0[/tex] Distributive property/ [tex]-(x) = -x[/tex]

3) [tex]-(x^{2} +4\cdot x +2\cdot x +8)= 0[/tex] Addition

4) [tex]-[x\cdot (x+4)+2\cdot (x+4)] = 0[/tex] Distributive property/Associative property

5) [tex]-(x+2)\cdot (x+4) = 0[/tex] Distributive property/Result

Which supports the graphic findings.

The roots of the quadratic function [tex]f(x) = -x^{2}-6\cdot x -8[/tex] are  [tex]x_{1} = -4[/tex] and [tex]x_{2} = -2[/tex].

Answer:

1) by using a protractor

2) by finding a point

3) by extending the line of the angle until it reaches the other side of the field.

Step-by-step explanation:

There are different methods he can use to draw the angle on the other side of the yard, three of which are the following:

1) he can use a protractor to measure the angle he drew. That way he can go to the other side of the field and measure the same angle there. So then he can draw the angle in the new location.

2) He can draw a line on the given angle and find a point that passes through that line. Then he can draw a perpendicular line to the origin of the angle until it reaches the other side of the yard. This perpendicular line will cross the other side of the yard. This point where the line crosses the other side of the yard will be the new origin. With this new origin find the point again and draw a line that goes through the new origin and the new point he found.

3) Depending on the dimensions of the field, he can draw extend the line of the angle in such a way that it reaches the other side of the field. Then the angle will be on the other side. He can then use a square to move it around to where he wants it to be.

Answer:

x = 6.375

Step-by-step explanation:

Step 1:

4.2+0.8 = 5

(1.6x+1.8)÷2.4 = 5

Step 2:

5 · 2.4 = 12

1.6x + 1.8 = 12

Step 3:

12 - 1.8 = 10.2

1.6x = 10.2

Step 4:

10.2 ÷ 1.6 = 6.375

x = 6.375

Answer:

[tex]\sqrt[12]{55296}[/tex]/2

Step-by-step explanation:

[tex]\sqrt[4]{6}[/tex]/[tex]\sqrt[3]{2}[/tex]=1.2422

[tex]\sqrt[12]{27}[/tex]/2=0.66 <-- not matching with the top expression.

[tex]\sqrt[4]{24}[/tex]/2=1.11<--not matching with the top expression.

[tex]\sqrt[12]{55296}[/tex]/2=1.2422<-- matches!!

[tex]\sqrt[12]{177147}[/tex]/3=0.91<-- not matching with the top expression.

Answer:

It is C) ^12 square root 55296/2

Step-by-step explanation: I checked with my calculator.

Answer: Friday

Step-by-step explanation:

Answer:you got this

Step-by-step explanation:

¡Khan Academy es una excelente manera de comenzar! ¡Empecé a aprender desde allí y es gratis!

Answer: C) 12

Step-by-step explanation:

This problem makes use of Cross Multiplying.

Simply do:

2x*3y=9*8

6xy=9*8

6xy=72

xy=12

Hope it helps <3

Answer:

44

Step-by-step explanation:

The correct is:

[tex][(-9,3),\:(-5,1),\:(7,-5),\:(4,3)][/tex]

The definition of a function is that for every value of [tex]x[/tex] we get one from [tex]y[/tex].

In the first appears [tex](-6,1)[/tex] y [tex](-6,-7)[/tex], it is not a function, since it does not meet the definition given above, there can only be one value for x, if there are [tex]2[/tex] or more, called relation.

In 2 repeat: [tex](7,-6)[/tex] and [tex](7,0)[/tex]

In 3 repeat: [tex](1,-3)[/tex] and [tex](1,0)[/tex]

Answer:

Step-by-step explanation:

Cassava = 1/3 of his land

Remaining after planting Cassava = 1 - 1/3 = 2/3 of his land

Maize = 2/5 x 2/3 = 4/15 of his land

Vegetables = 2/3 - 4/15 = 2/5 of his land

If vegetables = 10 acres

2/5 of his land = 10 acres

1/5 of his land = 10 ÷ 2 = 5 acres

5/5 of his land = 5 x 5 = 25 acres

Answer:

Step-by-step explanation:

Let the total number of people be x

To find the number of girls in the class we must first find the total number of people in the class

First find the total parts

That's

2 + 5 = 7

2/7 of the total number of people are boys

So we have

2/7 × x = 40

Multiply through by 7

2x = 280

Divide both sides by 2

x = 140

There are 140 people in the school

Finding the number of girls we have

5/7 × 140

= 100

There are 100 girls in the school

Hope this helps you

Answer:

The last graph.

Step-by-step explanation:

According to the question, she will spend just 36 hours on those activities combined, so the shading will be anything less than the diagonal line with a slope of -1.

She spends at least 12 hours running, so the shaded area will be anything above the horizontal line at 12.

She spends at least 12 hours bicycling, so the shaded area will be anything to the right of the vertical line at 12.

The only graph that fits all the conditions is the last graph, with a shaded triangle.

Hope this helps!

Answer:

x = 30

Step-by-step explanation:

Since l and m are parallel, then

3x + 10 = 40 + 60 = 100 ( subtract 10 from both sides )

3x = 90 ( divide both sides by 3 )

x = 30