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aleksklad [387]
3 years ago
13

A ²-3ac+c ² if a=-2/3 and c=1/5

Mathematics
1 answer:
mixer [17]3 years ago
5 0

Answer:

199/225

Step-by-step explanation:

(\frac{-2}{3})^2-3(\frac{-2}{3}(\frac{1}{5} )+(\frac{1}{5})^2

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Bob finishes his supper at 6:30 P.M. Then he studies for 55 minutes and spends 35 minutes playing video games before he watches
Kitty [74]
He watches TV at around 8:00 P.M., though it could be any other time around the world.

4 0
3 years ago
Alex is creating an outdoor structure out of two 12 foot boards. The boards must have an angle of elevation
Whitepunk [10]

Answer:

5.0 ft - 5.6 ft

Step-by-step explanation:

Given that the structure is to be made using two 12 foot boards, then we expect the total perimeter to be equal to (2*12)= 24 ft.

Using the angle of elevation, 40° and the width of 8 ft then you can apply the formula for tangent of a triangle where ;

Tan α = opposite side length/adjacent length

Tan 40°= h/8

h= 8 tan 40° = 6.71 ft

Applying the cosine of an angle formula to find the length of the sliding side

Cosine β = adjacent length /hypotenuse

Cosine 40°= 8/ sliding side length

sliding side length = 8/cosine 40° =10.44 ft

Checking  the perimeter = 10.44 +8+6.71= 25.15 ft

This is more than the total lengths of the boards, so you need to adjust the height as;

24 - 18.44 = 5.56 ft ,thus the height should be less or equal to 5.56 ft

h≤ 5.6 ft

6 0
3 years ago
On Monday, 395 students went on a trip to the zoo. All 9 buses were filled and 8 students had to travel in cars. How many studen
hichkok12 [17]

Answer:

43 students were in each bus

Step-by-step explanation:

Total students: 395

Students travelled in cars: 8

Students travelled in buses: 395-8=387

Number of buses filled:9

Number of students in each bus: 387÷9=43

4 0
3 years ago
Help please This is 8th grade made. I put 13 but Idk if it's correct
Rom4ik [11]
The answer is the square root of (12^2 + 5^2), which is 13. You're correct
5 0
3 years ago
2(3x+6) = 3(2x-6) <br> solve equations with variables on both sides
Serjik [45]
Answer:

2(3x+6) = 6x+12
3(2x-6) = 6x-18

6x+12=6x-18

Subtract 12 from 18, which gives you:

6x=6x-6

Subtract the 6x on the opposite side of the equal side, and your answer is: x = -6
6 0
2 years ago
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