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trapecia [35]
3 years ago
13

What is the sum of: −1676+(−1669)+(−1662)+...+(−115)+(−108)

Mathematics
1 answer:
Sedaia [141]3 years ago
3 0

Answer: i believe its -5230

Step-by-step explanation:

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A rectangle has a length of 14 yards less than 9 times its width. If the area of the rectangle is 6183 square yards, find the le
Jlenok [28]

Answer:

 l=238\ yards

Step-by-step explanation:

From the question we are told that:

Area of Rectangle A=6183

Equation of Length

 l=9w-14

Where

w=width\ of\ triangle

Generally the equation for Area of Rectangle is mathematically given by

 A=(9w-14)w

 A=9w^2-14w

 6183=9w^2-14w

 9w^2-14w-6183=0

 w=28

Therefore

 l=9(28)-14

 l=238\ yards

4 0
3 years ago
Find the measures of the interior
Ainat [17]

Answer:

Angle 1 =  108°

Angle 2 =  72°

Angle 3 =  120°

Angle 4 =  96°

Angle 5 =  144°

Step-by-step explanation:

We need to find the measures of the interior  angles in a pentagon if the measure  of each consecutive angle is in the  ratio 9:6:10:8:12.

Let x be the common ratio

So, we can write:

Angle 1 = 9x

Angle 2 = 6x

Angle 3 = 10x

Angle 4 = 8x

Angle 5 = 12x

We know that the <em>sum of all angles of pentagon = 540</em>

So, adding all angles and equal them to 540, we can find value of x

9x+6x+10x+8x+12x=540\\45x=540\\x=\frac{540}{45}\\x=12

So, we get the value of x: x=12

Now, calculating the angles by putting x=12:

Angle 1 = 9x = 9(12) = 108°

Angle 2 = 6x = 6(12) = 72°

Angle 3 = 10x = 10(12) = 120°

Angle 4 = 8x = 8(12) = 96°

Angle 5 = 12x= 12(12) = 144°

6 0
3 years ago
The expression x^2-9/x^2+6x+8 is undefined when x=
ser-zykov [4K]
The answer to the question

3 0
3 years ago
Read 2 more answers
If the ratio of the length of segment AC to the length of segment CB is 3:1, what is the y-coordinate of point C?
Yuki888 [10]

Answer:

The coordinates of point C are (8,8.5)

Step-by-step explanation:

The picture of the question in the attached figure

Let

(C_x,C_y) ----> coordinates of point C

we have that

The horizontal distance AB is equal to

AB_x=10-2=8\ units

The vertical distance AB is equal to

AB_y=10-4=6\ units

Find the horizontal coordinate of point C

we know that

\frac{AC}{CB}=\frac{3}{1}

so

\frac{AC_x}{CB_x}=\frac{3}{1}

AC_x=3CB_x----> equation A

AC_x+CB_x=8 ----> equation B

substitute equation A in equation B

3CB_x+CB_x=8

4CB_x=8\\CB_x=2

AC_x=3(2)=6

so

The x-coordinate of point C is equal to the x-coordinate of point A plus the horizontal distance between the point A and point C

C_x=A_x+AC_x=2+6=8

Find the vertical coordinate of point C

we know that

\frac{AC}{CB}=\frac{3}{1}

so

\frac{AC_y}{CB_y}=\frac{3}{1}

AC_y=3CB_y----> equation A

AC_y+CB_y=6 ----> equation B

substitute equation A in equation B

3CB_y+CB_y=6

4CB_y=6\\CB_y=1.5

AC_y=3(1.5)=4.5

so

The y-coordinate of point C is equal to the y-coordinate of point A plus the vertical distance between the point A and point C

C_y=A_y+AC_y=4+4.5=8.5

therefore

The coordinates of point C are (8,8.5)

5 0
3 years ago
An art teacher buys 9 bags of cotton balls there are 68 cotton balls in each bag whitch expression is best to estimate the numbe
Phantasy [73]

Answer:

612

Step-by-step explanation:

9 x 68 = 612

8 0
3 years ago
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