*) Michelle is making a poster for a class presentation. She plans to have four sections of
information, each with a different background color. The diagram shows the lengths
and widths of each section, where a is the length of the red section

Answer:

39

Step-by-step explanation:

I did the math

Answer:

<B = 95degrees

<D = 137 degrees

Step-by-step explanation:

From the given diagram, the sum of the adjacent sides of the trapezoid is 180degrees. Hence;

<A +<B = 180

85 + <B = 180

<B = 180 - 85

<B = 95degrees

Similarly

<C + <D =180

43 + <D = 180

<D = 180 - 43

<D = 137 degrees

Answer:

10%

Step-by-step explanation:

The first step is to calculate the decrease

Original price= $41.10

New price= $36.99

= 41.10-36.99

= 4.11

4.11/41.10 × 100

= 0.1×100

= 10%

Hence the percentage decrease is 10%

Answer:

The new shape will be like the one that i have drawn for you , i think .

Step-by-step explanation:

add two ( to base* from both sides of it * )

delete one ( from hights )

Hope it was useful ;)

Answer:

-2

Step-by-step explanation:

Given equation

x - 2y = 4

2y = x - 4

y = ( x - 4 ) / 2

y = x/2 - 4 /2

y = x/2 - 2

Comparing with y = mx + b

y-intercept (b) = - 2

Hope it will help :)❤

the answer is 12 hope this helps!!

Answer:

[tex]x^2+y^2=9[/tex]

Step-by-step explanation:

Equation of a circle (when centred at the origin):

[tex]x^2+y^2=r^2[/tex] where r is the radius of the circle

Plug in the point (0,3) to solve for the radius squared

[tex]0^2+3^2=r^2\\9=r^2[/tex]

Plug r² back into the original equation

[tex]x^2+y^2=9[/tex]

I hope this helps!

Answer:

A

Step-by-step explanation:

I believe it is A If I remember correctly

Answer:

C

Step-by-step explanation:

kkgkckyxitxitzoyfoycyoc

Answer: 4 black marbles, 3 blue, 2 green, and one red.

Step-by-step explanation:

Answer:

[tex]Length = Width = 6\ units[/tex]

Step-by-step explanation:

Given

[tex]Area=36[/tex]

Required

The least possible material

Sandboxes usually, are rectangles or squares.

Using the above assumption, the area is calculated as:

[tex]Area= Length * Width[/tex]

[tex]Area= L* W[/tex]

[tex]L * W = 36[/tex]

Make L the subject

[tex]L = \frac{36}{W}[/tex]

The material of the outer edge is calculated by the perimeter.

[tex]Perimeter = 2 * (L +W)[/tex]

[tex]P = 2 * (L + W)[/tex]

Substitute [tex]L = \frac{36}{W}[/tex]

[tex]P = 2 * (\frac{36}{W} + W)[/tex]

Open bracket

[tex]P = \frac{72}{W} + 2W[/tex]

[tex]P = 72W^{-1} +2W[/tex]

To get the minimum material needed, we differentiate P

[tex]P' = -72W^{-2} + 2[/tex]

Set: [tex]P' = 0[/tex]

[tex]-72W^{-2} + 2 = 0[/tex]

Collect like terms

[tex]72W^{-2} = 2[/tex]

Divide both sides by 72

[tex]W^{-2} = \frac{2}{72}[/tex]

[tex]W^{-2} = \frac{1}{36}[/tex]

Rewrite as:

[tex]\frac{1}{W^2} = \frac{1}{36}[/tex]

Take positive square roots of both sides

[tex]\frac{1}{W} = \frac{1}{6}[/tex]

Cross multiply

[tex]W = 6[/tex]

Recall that: [tex]L = \frac{36}{W}[/tex]

So, we have:

[tex]L =\frac{36}{6}[/tex]

[tex]L = 6[/tex]

Hence, the dimension with the littlest material as possible is:

[tex]Length = Width = 6\ units[/tex]

Answer:

16.3ft

Step-by-step explanation:

Answer:

17, add up all the percentages, then subtract 100 by whatever u got, 100-83= 17

Answer:

y = 140°

Step-by-step explanation:

we know that sum of two opposite interior angles are equal to one exterior

=> y = 120° + 20°

=> y = 140°

hope it helps

Answer:

256square units

Step-by-step explanation:

Since we are not given a diagram. Let us assume the side length of the given square is 8 units

If the  the square is enlarged by a scale factor of 2, the side length of the new square will be 2 * 8 = 16units

Since area of a square = L²

Hence the area of the new square =  16²

area of the new square =  256 square units

Hence the area of the new square is 256square units

Note that the side length of the original square was assumed. The values can change depending on the side length of the original square before enlargement

Answer:

.86

Step-by-step explanation:

Exponential function formula

[tex]y = a ( 1 + or - r ) ^t[/tex]

where a = initial value

r = rate of change

and t = number of years

given the equation y = 34000(0.86)^x.

r = .86

Hence the change factor is .86

Step-by-step explanation:

start at 7 on the number line. move to the left (because the value is negative) 2 jumps. you will land on 5.

Answer: 5

Step-by-step explanation:

Usually you would just do 7+-2 which is also 7-2 which equals 5 but since it's a number line you do this

You would locate 7 on the number line and do the same for -2

Once done, you would take the distance 2 is from 0 and push 7 there(basically moving it to 5) and that would be how you would use a number line to find the sum of 7 + -2

Now if the 2 was positive, this would be different and you would add the distance making it 9 but since it's negative you push it towards 0 which makes it 5

I hope this helps!

Answer:

216

Step-by-step explanation:

(6 to the -4th) * (6 to the 7th)

62.4 bass per year from year 5 to year 8, the average rate of change from the population was about 67.6 best per year the change of rate increase was about

Answer:

29.5 times pi or 3.14

Step-by-step explanation:

Answer: Are there any answer choices? If there are I could probably help you, thanks <3

Step-by-step explanation:

Answer:

x<5

Step-by-step explanation:

(3x<15)

Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.

x<15/3

Divide 15 by 3 to get 5.

x<5

Answer:

B. 44°

Step-by-step explanation:

Central angle = 3x + 10°

Inscribed angle = 2x - 17°

Now

Central angle = 2 * inscribed angle

( Central angle is double of the inscribed angle standing on same arc)

3x + 10° = 2 ( 2x - 17°)

3x + 10° = 4x - 34°

4x - 3x = 34 ° + 10°

x = 44°

Hope it will help :)❤

Answer:

Step-by-step explanation:

point sorry

Answer:

$28.13

Step-by-step explanation:

B)

Answer:

hello your question has a missing diagram attached below is the missing diagram

answer :  

Mark the point of intersection S of circles R and P, and construct line QS ( option 2 )

Step-by-step explanation:

when constructing a tangent line from one point ( lets say Q as seen in the question ) to a circle P. The next step should be to mark a point of intersection between  the given circles and then construct a line through it

Answer:

Mark the point of intersection S of circles R and P, and construct line QS.

Step-by-step explanation:

This is correct because after you create circle R that intersects circle p, you're supposed to mark the intersection points.  If your in FLVS, it would be in lesson 7.04.  I also got this right on my test.  Good luck!