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s2008m [1.1K]
3 years ago
8

Sebastien hand-crafts circular braided rugs. The graph shows the prices of various sizes of his rugs. A customer ordered 3 ident

ical rugs for a total of $1,350. Use the graph to determine the radius of each rug in the order. (Enter numerical answer only).
Please help.

Mathematics
1 answer:
elixir [45]3 years ago
6 0

Answer:

The radius of each rug on the order is 6 ft

Step-by-step explanation:

The graph shows the relationship between the price of a rug and the radius of the rug

The number of rugs ordered by the customer = 3 rugs

The total cost of the rugs ordered by the customer = $1,350

Therefore, the cost of each rug = $1,350/3 = $450

The radius of the rugs as determined from the chart

At $450, the radius of the rug = 6 ft

Therefore;

Given that all the rugs are identical, the radius of each rug on the order = 6 ft.

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Find the slope between the two points: (3,-2) and (4,7)
cupoosta [38]
To find slope given two points, there is a formula you can use: (y2-y1)/(x2-x1). Y2 stands for the second y coordinate and y1 stands for the first y coordinate. The same logic applies to the x's. Let's assume that (3, -2) is x1, y1 and (4,7) is x2, y2. Let's plug them into the formula.

(7-(-2))/(4-3).
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4-3=1 for the x value.

Now we divide them.
9/1=9. 9=m. M is the variable commonly used for slope. Hope this helped!
5 0
3 years ago
In a jar of 250 jelly beans, a random sample of 25 is pulled. In the random sample, 15 of the jelly beans are red. How many jell
vovangra [49]
150 jelly beans are most likely to be red
You can multiply both numbers by ten
6 0
2 years ago
Read 2 more answers
SOMEONE HELP PLEASE! ASAP!
Luba_88 [7]
When two lines intersect, the angles across from the intersection (the "X") are congruent (equal), and referred to as "vertical angles."
So by the rule of vertical angles are congruent, we can set them equal:
{x}^{2}  - 6x = 1\div2 \: x + 42 \\  {x}^{2}  - 6x - 1 \div 2 \: x = 42 \\  {x}^{2}  - 6.5x = 42
{x}^{2}  - 6.5x - 42 = 0 \\ multiply \: both\: sides \: by \: 2 \: to \: get \\ rid \: of \: the \: decimal \\ 2({x}^{2}  - 6.5x - 42) = 2(0)
2 {x}^{2}  - 13x - 84 = 0
to factor we need the factors of 84:
1×84, 2×42, 3×28, 4×21, 6×14
Now we need one of those factors ×2 ( from the x^2 term) minus the other factor to equal 13 (the middle term)
it turns out that if we use 4×21: 4×2 = 8
and 21-8 = 13. Woohoo! we got it
So now we have:
2 {x}^{2}  - 13x - 84 = 0 \\ (2x - 21)(x + 4) = 0
Now set each factor = 0
1) 2x - 21 = 0 and 2) x + 4 = 0
1) 2x - 21 = 0, 2x = 21, x = 21/2 = 10.5
2) x + 4 = 0, x = -4

Now we plug in each answer to check:
1) x = 10.5
{x}^{2}  - 6x =  {(10.5)}^{2}  - 6(10.5) \\  = 110.25 - 63 = 47.25
1/2x + 42 = 1/2(10.5) + 42 = 5.25 + 42 = 47.25
47.25 = 47.25
BAM SO IT LOOKS LIKE THAT'S IT!!
But let's check 2) first:
2) x = -4
{( - 4)}^{2}  - 6( - 4) = 16 + 24 = 40
1/2x + 42 = 1/2(-4) + 42 = -2 + 42 = 40
40 = 40, so both work!!
But it asks for m<1, and <1 is supplementary because it lies on same line, meaning the sum of both = 189
Therefore m<1 = 180 - 47.25 = 132.75°
OR m<1 = 180 - 40 = 140°


6 0
3 years ago
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