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Usimov [2.4K]
3 years ago
12

Given that P=x+y. Find P when: x=−5 and y=−3

Mathematics
1 answer:
Sergio [31]3 years ago
8 0

Answer:

P = - 8

Step-by-step explanation:

Given

P = x + y ← substitute x = - 5 and y = - 3

P = - 5 + (- 3) = - 5 - 3 = - 8

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The area of a rectangle is 3,878 square centimeters. If the rectangle has a width of 14 centimeters, what is its length?
astra-53 [7]

Answer:

277 cm

Step-by-step explanation:

A=l*w\\3,878=l*14\\l=\frac{3,878}{14} \\l=277

7 0
3 years ago
PLEASE HELP I GIVE THANKS
Levart [38]
A=(-6,-2)
B=(6,2)

\sqrt{[(6-(-6)]^2+[(2-(-2)]^2} = \sqrt{12^2+4^2} = \sqrt{16} =4 \sqrt{10}
5 0
3 years ago
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3 years ago
Given cos ⁡ ( θ ) = 5/6 , then sin ⁡ ( θ ) = a/b .<br><br> Determine the values of a and b.
slega [8]

Answer:

a = √11 and b = 6

Step-by-step explanation:

Refer to attached picture for reference

for an right triangle with angle θ

we are given

cos θ = 5/6 = length of adjacent side / length of hypotenuse

hence

adjacent length = 5 units

hypotenuse length = 6 units

the missing side is the "opposite" length which we can find with the Pythagorean equation. in our case:

hypotenuse ² = adjacent ² + opposite²   (rearrange)

opposite ² = hypotenuse ² - adjacent ²

opposite ² = 6² - 5²

opposite = √ (6²-5²) = √11

sin θ = opposite length / hypotenuse  (substitute values above)

sin θ = √11 / 6

hence a = √11 and b = 6

3 0
3 years ago
Every 24 hours, Earth makes a full rotation around its axis. Earth's speed of rotation at the equator is 1.670 km per hour. What
Anna35 [415]

Answer:

The circumference of Earth's equator is 40,080 km.

Step-by-step explanation:

Given that every 24 hours, Earth makes a full rotation around its axis, and Earth's speed of rotation at the equator is 1,670 km per hour, to determine what is the circumference of Earth's equator the following calculation must be performed:

24 x 1,670 = X

40,080 = X

Therefore, the circumference of Earth's equator is 40,080 km.

3 0
3 years ago
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