Use the distributive property to write the expression without parentheses. Then simplify.
[tex]-\frac{1}{6} (6y+7)[/tex]

Answer:

x = 135     y = 45

Step-by-step explanation:

The sum of the measure of interior angles can be found by equation  

(n - 2) x 180            n is the number of sides

(8 - 2)180 = 1080

Sum of measure of interior angles is 1080 degrees. Variable x, which we are solving for, it the measure of one interior angle. To find x, divide 1080 by 8 to find the measure of one interior angle.

1080 / 8 = 135

x = 135 degrees

We know that a trapezoid like the one formed in the octagon has 2 pairs of congruent angles. we know two of the angles already, as they are the measure of one interior angle, or 135 degrees. The sum of the measure of interior angles of a trapezoid is 360 degrees.

360 - 2(135) = 90

The sum of the remaining two angles of the trapezoid are 90 degrees. These two angles are equal, so divide 90 by 2.

90 / 2 = 45

y = 45 degrees.

135  45 Answer:

Step-by-step explanation:

Answer:

x =3.9

Step-by-step explanation:

Since this is a right triangle we can use the Pythagorean theorem

a^2 + b^2 =c^2

x^2 + (5x)^2 = 20 ^2

x^2 + 25x^2 = 400

Combine like terms

26 x^2 = 400

Divide each side by 26

x^2 = 400/26

Take the square root of each side

sqrt(x^2) = sqrt(400/26)

x = sqrt(400/26)

x =3.922322703

Rounding to the nearest tenth

x =3.9

Answer:

3.9

Step-by-step explanation:

:)

Could you show the given circle please?

Answer: The answer is C.

Step-by-step explanation: I just did it

Answer:

Step-by-step explanation:

it is the tangent of the angle slope makes with the horizontal.

Answer:

$6.88

Step-by-step explanation:

$5.99(12 months) = $71.88 per year

$71.88 - $65 = $6.88

Answer:

1 real solution

Step-by-step explanation:

20² - 4 (-100) (-1)

400 - 400

0

When the discriminant is 0, there is one real solution.

Answer:

1 real solution

Step-by-step explanation:

20² - 4 (-100) (-1)

400 - 400

0

Answer: 60588

Step-by-step explanation:

= 89100 x 0.68

= 60,588

Answer:

23×-5

= -115

The answer is -115, easy peasy

Answer:

-5, -2.2, -2, 2, 2.2, 5

Step-by-step explanation:

-5

-2.2

-2

2

2.2

5

Answer:

-5

-2.2

-2

2

2.2

5

Answer:

idk

Step-by-step explanation:

1/4 can also be written as .25

1 divided by 4 is .25

114 times .25 = answer

154 times .25  = answer

Answer:

True

Step-by-step explanation:

A parallelogram is a quadrilateral with both pairs of opposite sides parallel.

Answer:

True bc both paired of opposite sides are parallel

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

Answer:

I think it might be A, B, and E but I am not 100% sure.

Step-by-step explanation:

The figures are rectangular prism, cylinder, and square pyramid.

A three-dimensional solid object called a prism has two identical ends. It consists of equal cross-sections, flat faces, and identical bases. Without bases, the prism's faces are parallelograms or rectangles.

The volume of a prism is the product of its base area and height

Volume of Prism = B x h

where B = base area of prism

h = height of prism

Given data ,

The rectangular prism, cylinder, and square pyramid have rectangular cross sections when they are cut perpendicular to the base.

A rectangular prism has a rectangular cross section no matter where it is cut perpendicular to the base.

A cylinder has a circular base, but when it is cut perpendicular to the base, the cross section is a rectangle.

A square pyramid has a square base, and when it is cut perpendicular to the base, the cross section is also a rectangle.

A triangular prism has a triangular base, and when it is cut perpendicular to the base, the cross section is a triangle, not a rectangle.

A cone has a circular base, and when it is cut perpendicular to the base, the cross section is a circle, not a rectangle.

A triangular pyramid has a triangular base, and when it is cut perpendicular to the base, the cross section is a triangle, not a rectangle.

Hence , the three options that have rectangular cross sections when cut perpendicular to the base are: rectangular prism, cylinder, and square pyramid.

To learn more about volume of prism click :

https://brainly.com/question/11336446

#SPJ7

Answer:

Step-by-step explanation:

lets find the volume of a go math book

V=LWH

V=10.75*8.5*1

V=10.75*8.5

V=91.375 inches^3

the amount of Go Math books that can fit in tier 1 is

(tier 1's volume)/91.375

then , round to the smallest whole number

(how many whole books you can fit in

I don't know tier 1's dimensions or volume, so I can't tel how many books exactly.

Answer:

b) 65f

Step-by-step explanation:

Answer:

b. 65° F

Step-by-step explanation:

option B is correct answer

Answer:

11.5214512633

Step-by-step explanation:

Add up all the sides, using Pythagorean theorem for each side by finding the difference in horizontal and vertical coordinates.

CD: [tex]\sqrt{\left(2-\left(-1\right)\right)^{2}+\left(\left(-1\right)-\left(-2\right)^{2}\right)}[/tex] = 2

CF: [tex]\sqrt{\left(1-2\right)^{2}+\left(1-\left(-1\right)\right)^{2}}[/tex] = 2.2360679775

EF: [tex]\sqrt{\left(2-1\right)^{2}+\left(-2-1\right)^{2}}[/tex] = 3.16227766017

DE: [tex]\sqrt{\left(2-\left(-2\right)\right)^{2}+\left(\left(-2\right)-\left(-1\right)\right)^{2}}[/tex] = 4.12310562562

add them all up 11.5214512633

Answer:

28

Step-by-step explanation:

When you put the numbers in order and then cut into 4 equal parts 28 is the first cut

sorry idk if that made sense or not

Answer:

[tex]72[/tex]

Step-by-step explanation:

Jeremy is [tex]x[/tex] years-old.

Jeremy's grandfather is [tex]4x[/tex] years-old.

Adding their ages together will get [tex]90[/tex]

[tex]4x+x=90\\5x=90\\x=90 \div 5\\x=18[/tex]

Jeremy's grandfather age would be:

[tex]4x\\4(18)\\72[/tex]

Answer: 72

Step-by-step explanation:

Let Jeremy age be x

Granfather' age is 4x

x + 4x = 90

5x = 90

x = 90/5 = 18

Jeremy' age is 18

Granfather age is 4x = 4*18 = 72

Answer:

Slope tells you about the steepness of a line. It can is the ration of vertical change to horizontal change and you can solve this by using the slope formula:

a. So in your case, starting from the bottom, the slope is:

If you want to use coordinates, you can think of the first point (bottom of the stairs} would be at the point of origin (0,0). The next point would be at the top of the first stair 13 inches wide (horizontal or x) and 8 inches high (vertical or y)

So the coordinates of the two points would be:

(0,0) and (13, 8)

Using the formula we would have:

b. Looking at the answer above, you can see that the slope with increase if the vertical change is greater, so if you increase the height of the stairs, the stair would be steeper. The opposite is true if you would increase the width.

However, if you proportionally increase the width and the height, then the slope will remain the same.

Step-by-step explanation:

Answer:

                  x = 1/6 =0.167

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*x+4-(9*x+3)=0  

Step by step solution :

Step  1  :

Solving a Single Variable Equation :

1.1      Solve  :    -6x+1 = 0  

Subtract  1  from both sides of the equation :  

                     -6x = -1

Multiply both sides of the equation by (-1) :  6x = 1

Divide both sides of the equation by 6:

                    x = 1/6 = 0.167

One solution :

                  x = 1/6 = 0.167

Answer:

1/6

Step-by-step explanation:

Step 1: Subtract 9x from both sides.

3x+4−9x=9x+3−9x

−6x+4=3

Step 2: Subtract 4 from both sides.

−6x+4−4=3−4

−6x=−1

Step 3: Divide both sides by -6.

−6x                  -1

-------      =     ----------

-6                    -6

x=1/6        

Answer:

A(lawn) = 68 m²

Step-by-step explanation:

A(lawn) = Agarden - Aflower - Avegetables

= 10m×14m - 3m×8m/2 - (5m+7m)×10m/2

= 140m² - 12m² - 60m²

= 68 m²

A(rectangle) = w × h

A(triangle) = ½ × b × h

A(trapeze) = ½(B+b) × h

Answer:

Actually, if you graph it the correct answer is the third option, not the first

Trust me I got 100%

Answer:

2

Step-by-step explanation:

The slope formula is change in y over change in x, in this case it's  [tex](2-(-6))/(5-1) = 8/4 = 2[/tex]

Answer:

go to ur right 5 up 2 the put a dot then for the other one go to ur right one time then down 6

Step-by-step explanation:

Answer:

a. 1 b. 3/5 or 60%

Step-by-step explanation:

number of favourable events/number of total events

3x/5x = 3/5

Answer: +12f +49g

-2f(-6)-7g(-7)

No if your looking for the graph answer on Khan academy then it's 11

Answer:

23 deg

Step-by-step explanation:

For angle x, 3 is the opposite leg.

sqrt(58) is the hypotenuse.

The trig ratio that relates the opposite leg and the hypotenuse is the sine.

sin x = opp/hyp

sin x = 3/sqrt(58)

sin x = 0.3939

x = sin^-1 0.3939 = 23 deg

Answer: 465 π

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:  

Volume of a cylinder (V): π x (diameter /2) ² x height  

Replacing with the values given and solving for v (Volume)  

V = π x (6/2)²x 50

V = 450π

And then for the bottom part:

Volume of a cone = 1/3 x π x (diameter/2)^2 x height  

Replacing with the values given:  

V = 1/3 π (6/2) ^2 (5) = 15π

Finally we add the volumes:

450π+15π = 465 π

In conclusion, the volume of the solid is 465π m3.  

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

Answer:

14.14

Step-by-step explanation:

V=4

3πr3=4

3·π·1.53≈14.13717

Answer:

2

Step-by-step explanation:

sqrt(254) is in between 15 and 16, closer to sqrt(256), which is 16

sqrt(62) is in between 7 and 8, closer to sqrt(64), which is 8

thus 16/8 is 2

Answer:

Domain = {-6 ≤ x ≤ 2, x ≠ 0}

Range = {1 < y ≤ 6}

Step-by-step explanation:

Answer:

Domain: -6[tex]\leq x<0 or 0<x\leq 2[/tex] Option A

Range: 1<y[tex]\leq 6[/tex]

Step-by-step explanation:

Answer:

Option D.

Step-by-step explanation:

Let the coordinates of a point which divides the segment XY in the ratio of m : n is (x, y).

Segment X(-4, -9) and Y(4, 7) has been divided in the ratio of 2 : 6.

Therefore, x = [tex]\frac{[4m+n(-4)]}{m+n}=\frac{8-24}{2+6}[/tex]

                    = -[tex]\frac{16}{8}[/tex]

                    = -2

and y = [tex]\frac{[7m+n(-9)]}{m+n}=\frac{14-54}{2+6}[/tex]

         = [tex]-\frac{40}{8}[/tex]

         = -5

Therefore, the point (x, y) is (-2, -5).

Option D. will be the answer.