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3 years ago

11

at the sea park,one section in the stadium has 9 rows with 18 seats in each row. in the centre of each of the first 6 rows,8 sea

ts are in the splash zone. how many seats are not in the splash zone?

2 answers:

pishuonlain [190]3 years ago

6 0

I believe it's 114 Seats...

NeX [460]3 years ago

5 0

The answer is 114 seats that are not in the splash zone

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In Triangle BCD, BC=BD, and angle B =13x-35, angle C = 5x-19, angle D=2x+14. Find the measure of each angle

aleksandr82 [10.1K]

Answer:

$B = 108$

$C = 36$

$D = 36$

Step-by-step explanation:

Given

$B =13x - 35$

$C = 5x - 19$

$D=2x+14$

$BC = BD$

Required

Determine the measure of each angle

The angles in a triangle sum up t 180. i.e.

$B + C + D = 180$

Since $BC = BD$ , then $C = D$

$B + C + D = 180$ can then be rewritten as:

$B + C + C = 180$

$B + 2C = 180$

Substitute values for B and C

$13x - 35 + 2(5x - 19) = 180$

Open Bracket

$13x - 35 + 10x - 38 = 180$

Collect Like Terms

$13x + 10x = 180 + 38 + 35$

$23x= 253$

Divide both sides by 23

$x = 11$

To get the measure of each angle, substitute 11 for x in the expressions of B, C and D

$B =13x - 35$

$B = 13 * 11 - 35$

$B = 108$

$C = 5x - 19$

$C = 5 * 11 - 19$

$C = 36$

$D=2x+14$

$D = 2 * 11 + 14$

$D = 36$

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3 years ago

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3 years ago

Boyd grows only tomatoes and raspberries in his garden. Last year, he grew 140 pounds of tomatoes and 60 pounds of raspberries.

nadya68 [22]

Answer:

29%.

Step-by-step explanation:

We have been given that Boyd grew 140 pounds of tomatoes and 60 pounds of raspberries. This year, the production, by weight, of tomatoes declined by 20 percent, and the production, be weight, of raspberries declined by 50 percent.

First of all, we will find the weight of tomatoes and raspberries using the given information.

Since the production, by weight, of tomatoes declined by 20 percent, so this year production of tomatoes is 80% of 140 pounds.

$\frac{80}{100}\times 140=0.80\times 140=112$

Since the production, be weight, of raspberries declined by 50 percent, so this year production of raspberries is 50% of 30 pounds.

$\frac{50}{100}\times 60=0.50\times 60=30$

Total production this year: $112+30=142$ pounds.

Now, we will percent decrease formula.

$\text{Percent decrease}=\frac{\text{Initial value-Final value}}{\text{Initial value}}\times 100$

$\text{Percent decrease}=\frac{(140+60)-142}{140+60}\times 100$

$\text{Percent decrease}=\frac{(200)-142}{200}\times 100$

$\text{Percent decrease}=\frac{58}{200}\times 100$

$\text{Percent decrease}=0.29\times 100$

$\text{Percent decrease}=29$

Therefore, the total yield, by weight, of Boyd's garden declined by 29%.

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3 years ago