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Mathematics

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Kisachek [45]2 years ago

4 0

The amount of paper that Lemon needs for the actual poster will be 8 square feet.

<h3>What is a rectangle?</h3>

It is a polygon with four sides. The total interior angle is 360 degrees. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees. Its diagonals are all the same length and intersect in the center.

The dimension of the poster is 10 cm by 20 cm.

And the scale factor will be 5 cm is equal to 1 ft.

Then the dimension of the poster will be 2 ft by 4 ft.

Then the amount of the paper that Lemon needs for the actual poster will be

Area = 2 × 4

Area = 8 ft²

More about the rectangle link is given below.

brainly.com/question/10046743

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The coordinate bridge shows the cost of different numbers of bookmarks how many sense do for bookmarks cost.

pogonyaev

Answer:

54 cents

Step-by-step explanation:

The cost of bookmarks relating to the number of bookmarks is given by the graph shown. Therefore:

From the graph, we can determine the relationship between the cost of bookmarks and the number of bookmarks by using two points. The equation of a line passing through points $(x_1,y_1)\ and\ (x_2,y_2)$ is:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\$

From the graph, y represents the cost of bookmarks in cents and x represent the number of bookmarks. we can see that it passes through the point (2, 30) and (7, 90). Hence:

$y-30=\frac{90-30}{7-2}(x-2)\\\\y-30=12(x-2) \\\\y-30=12x-24\\\\y=12x+6$

The cost of 4 bookmarks (x = 4):

y = 12(4) + 6

y = 54 cents

7 0

3 years ago

118 + 560 is the same as<br> 100 +

Fed [463]

Answer:

578

Step-by-step explanation:

118

+560

answer:678

678-100=578

6 0

3 years ago

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The measure of an interior angle of a regular polygon is 140°140°. find the number of sides of the polygon.

MA_775_DIABLO [31]

$\alpha = \cfrac{180(n-2)}{n} \ \ \ \ \ [ \alpha =interior \ angle, \ \ n=number \ of 
 \ sides] \\ \\ \\ 140 = \cfrac{180(n-2)}{n} \\ \\ 140n = 180(n-2) \\ \\ 140n=180n-360 \\ \\ 40n=360 \\ \\ n= \frac{360}{40}=9 \ \ sides$

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3 years ago

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Curtis is twice as old as his brother Jonathan. Olivia is six years younger than Jonathan. The sum of their ages is 58 years.

liraira [26]

C=2 times j
c=2j
o=j-6
c+j+o=58

subsitte j-6 for o and 2j for c

2j+j+j-6=58
4j-6=58
add 6 to both sides
4j=64
divide both sides by 4
j=16

sub back

c=2j
c=2(16)
c=32

o=j-6
o=16-6
o=10

curtis=32
olivia=10
jonathan=16

equations are
c+j+o=58
c=2j
o=j-6

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3 years ago

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Find the missing dimension of the prism. Round your answer to the nearest hundredth.

Nitella [24]

Answer:

$x = 6.99in$