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Blizzard [7]
3 years ago
12

Add the following- 3/5,- 7/10and 4/15​

Mathematics
1 answer:
maxonik [38]3 years ago
4 0

Answer:

-31/30

Step-by-step explanation:

-3/5 - 7/10 + 4/15 = -31/30

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A ladder 20 feet long is leaning against the wall of a house. The base of the ladder is pulled away from the wall at a rate of 2
alukav5142 [94]

Answer:

0.17 °/s

Step-by-step explanation:

Since the ladder is leaning against the wall and has a length, L and is at a distance, D from the wall. If θ is the angle between the ladder and the wall, then sinθ = D/L.

We differentiate the above expression with respect to time to have

dsinθ/dt = d(D/L)/dt

cosθdθ/dt = (1/L)dD/dt

dθ/dt = (1/Lcosθ)dD/dt where dD/dt = rate at which the ladder is being pulled away from the wall = 2 ft/s and dθ/dt = rate at which angle between wall and ladder is increasing.

We now find dθ/dt when D = 16 ft, dD/dt = + 2 ft/s, and L = 20 ft

We know from trigonometric ratios, sin²θ + cos²θ = 1. So, cosθ = √(1 - sin²θ) = √[1 - (D/L)²]

dθ/dt = (1/Lcosθ)dD/dt

dθ/dt = (1/L√[1 - (D/L)²])dD/dt

dθ/dt = (1/√[L² - D²])dD/dt

Substituting the values of the variables, we have

dθ/dt = (1/√[20² - 16²]) 2 ft/s

dθ/dt = (1/√[400 - 256]) 2 ft/s

dθ/dt = (1/√144) 2 ft/s

dθ/dt = (1/12) 2 ft/s

dθ/dt = 1/6 °/s

dθ/dt = 0.17 °/s

8 0
3 years ago
NEED HELP ASAP!!!! <br> A) 12 sq. cm.<br> B) 6 sq. cm.<br> C) 12 cm<br> D) 6 cm
zaharov [31]

Answer:

its B- 6 sq. cm.

Step-by-step explanation:

1/2 times base times height

1/2 x 4 x 3

6

5 0
2 years ago
Read 2 more answers
Rearrange the formula to make a the subject:<br> B = 1/2h(a+b)
Mkey [24]

Answer:

Step-by-step explanation:

B=2h(a+b) #the numerator goes to the other side, the denominator then just makes it B

B/2h=a+b

2h=a+b/B

2h-a=b/B

2h-a=b(1) #factorise

6 0
3 years ago
Area of Rectangles and Squares.<br> Please show the work, I need help
USPshnik [31]

Here, I think I can help you out:

1. 21 ÷ 3

= 7

Therefore, the length is 7cm².

2. 35 ÷ 7

= 5cm²

- And so on. Simply divide the area by the length of the side given; you can answer up to question six using this strategy.

7. All sides of a square are the same length.

7 x 7

= 49cm²

9. 2 x 3.5

= 7m²

- The formula to find the area of a square/rectangle is length x width. Just multiply the given lengths for the answers :)

7 0
2 years ago
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When 142 is added to a number, the result is 64 more times than 3 times the number. What is the number?
allsm [11]

x+142 =3x+64

subtract x from each side

142 = 2x+64

subtract 64 from each side

142-64 = 2x

78=2x

divide by 2

78/2 = x

x=39

The number is 39

3 0
3 years ago
Read 2 more answers
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