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slamgirl [31]
2 years ago
7

On a coordinate plane, triangle R S T has points (negative 5, 6), (3, 4), and (negative 2, 2). Which expression can be used to f

ind the area of triangle RST? (8 ∙ 4) - One-half (10 12 16) (8 ∙ 4) - (10 12 16) (8 ∙ 4) - One-half (5 6 8) (8 ∙ 4) - (5 - 6 - 8).
Mathematics
2 answers:
ratelena [41]2 years ago
7 0
How does the area of triangle RST compare to the area of triangle LMN? is 2 square units less than the The area of △ RST area of △ LMN The area of △ RST is equal to the area of △ LMN The area of △ RST is 2 square units greater than the area of △ LMN The area of △ RST is 4 square units greater than the area of △ LMN.Jun 25, 2021
navik [9.2K]2 years ago
4 0

Answer:

(8 ∙ 4) - 1/2 (10 + 12 + 16).

Step-by-step explanation:

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A party rental company has chairs and tables for rent. The total cost to rent 4 chairs and 8 tables is $89 . The total cost to r
puteri [66]
Let C = cost to rent each chairLet T = cost to rent each table

 4C + 8T = 73
2C + 3T = 28 
Multiply the 2nd equation by (-2) and then add the equations together 

  4C + 8T = 73
-4C - 6T = -56
 2T = 17T = 17/2 = 8.5

 Plug this in to the 1st equation to solve for C
 4C + 8(17/2) = 73
4C + 68 = 73
4C = 5C = 5/4 = 1.25
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Express the ratio 2 to 3 and 8 to 9 in lowest terms
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\dfrac{2}{3}:\dfrac{8}{9}=\left(9\cdot\dfrac{2}{3}\right):\left(9\cdot\dfrac{8}{9}\right)=(3\cdot2):(1\cdot8)\\\\=6:8=\dfrac{6}{2}:\dfrac{8}{2}=3:4\\\\Answer:\ \boxed{\dfrac{2}{3}:\dfrac{8}{9}=3:4}

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A garden hose having an internal diameter of 0.740 in. ( 1.8796 cm ) is connected to a lawn sprinkler that consists merely of an
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Answer:

It will leave the sprinkler at speed of v_2=613.87m/sec

Step-by-step explanation:

We have given internal diameter of the garden hose d_1=0.740in=1.8796cm

So radius r_1=\frac{d_1}{2}=\frac{1.8796}{2}=0.9398cm

So area A_1=\pi r_1^2=3.14\times 0.9398^2=2.7733cm^2

Water in the hose has a speed of 4 ft/sec

So v_1=4ft/sec=121.92cm/sec(As\ 1ft/sec\ =30.48cm/sec)

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