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erastovalidia [21]
3 years ago
13

Lelani weighed 136 ounces when she was born. What was her weight in pounds and ounces?

Mathematics
1 answer:
OleMash [197]3 years ago
3 0
8.5 Lbs, or 8 lbs and 8 ounces.
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What does a=? b=? Angle B=?
Kobotan [32]

Answer:

If you were solving the right triangle, it would be:

m∠A = 46°

m∠B = 44°

m∠C = 90°

AB = 32

BC ≈ 23

AC ≈ 24

Step-by-step explanation:

To solve this right triangle, you can use trigonometric ratios to solve for the sides. To find the angle measures:

m∠A = 46° (given)

m∠B = x

m∠C = 90° (given)

180 - (46 + 90) = x

180 - 136 = x

44 = x

m∠B = 44°

To find the side measures, you can use tangent, sine, cosine, and the Pythagorean Theorem.

Recall that:

tangent = opposite side/adjacent side

sine = opposite side/hypotenuse

cosine = adjacent side/hypotenuse

So:

sin46 = BC/32

BC = 32 (sin46)

BC ≈ 23

tan46 = BC/AC

AC = BC/tan46

AC = (23.01887361...) (tan46)

AC ≈ 24

5 0
2 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each quadratic equation with its so
Anon25 [30]

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

  • Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
  • We have to solve all of the five equations to be able to match the equations with their solutions.
  • 2x² - 8x + 5, here a = 2, b = -8, c = 5.                                                  x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4.     24 can also be written as 4 × 6 and √4 = 2. So                                                                                     x = 8 ± 2√6 / 2×2= 4±√6/2.
  • 2x² - 10x + 3, here a = 2, b = -10, c = 3.                                                   x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So                                                                              x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
  • 2x² - 8x - 3, here a = 2, b = -8, c = -3.                                                    x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4.     88 can also be written as 4 × 22 and √4 = 2. So                                                                             x = 8 ± 2√22 / 2×2 = 4± √22/2.
  • 2x² - 9x - 1, here a = 2, b = -9, c = -1.                                                     x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4.                                          x = 9 ± √89 / 4.
  • 2x² - 9x + 6, here a = 2, b = -9, c = 6.                                                    x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4.                                                                             x = 9 ± √33 / 4 .

8 0
2 years ago
Read 2 more answers
Solve for f(-1)<br><br> f(x)=-3x +3<br><br> f(-1)=?
krok68 [10]
9 or -9 ...if I’m wrong sorry
6 0
2 years ago
A car cruises at a constant rate of 55 miles per hour. How much time will it take to go to 715 miles?
Verizon [17]
To get the answer, all you have to do is 715 ÷ 55 which equals 13 (hours)
3 0
2 years ago
Read 2 more answers
A motorboat travels 204 kilometers in 6 hours going upstream. It travels 372 kilometers going downstream in the same amount of t
Arturiano [62]

9514 1404 393

Answer:

  • boat: 48 km/h
  • current: 14 km/h

Step-by-step explanation:

The upstream speed is ...

  u = (204 km)/(6 h) = 34 km/h

The downstream speed is ...

  d = (372 km)/(6 h) = 62 km/h

The speed of the boat in still water is the average of these values:

  b = (34 kph +62 kph)/2 = 48 kph

The speed of the water is the difference between the boat's speed and the speed made good:

  w = 48 -34 = 14 . . . km/h

The rate of the boat in still water is 48 km/h. The rate of the current is 14 km/h.

5 0
2 years ago
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