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Rashid [163]
3 years ago
11

How many quarts are in 150 cups?

Mathematics
2 answers:
Fiesta28 [93]3 years ago
7 0

Answer:

37.5 quarts

Step-by-step explanation:

4 cups = 1 quart

150/4=37.5

valina [46]3 years ago
6 0

Answer:

there are 37.499999997608 quarts in 150 cups

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Im giving 100 Points to anyone who could solve this for me please.
myrzilka [38]

Answer:

AB = 27.2

BC = 33.5

AC = 50.4

∠A = 38°

∠ABC = 112°

Step-by-step explanation:

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

\implies \sf \cos(30^{\circ})=\dfrac{29}{BC}

\implies \sf BC=\dfrac{29}{\cos(30^{\circ})}

\implies \sf BC=\dfrac{58\sqrt{3}}{3}=33.5\:(nearest\:tenth)

\implies \sf \tan(30^{\circ})=\dfrac{BD}{29}

\implies \sf BD=29\tan(30^{\circ})

\implies \sf BD=\dfrac{29\sqrt{3}}{3}

\implies \sf \sin(38^{\circ})=\dfrac{BD}{AB}

\implies \sf AB=\dfrac{\dfrac{29\sqrt{3}}{3}}{\sin(38^{\circ})}

\implies \sf AB=27.2\:(nearest\:tenth)

\implies \sf \tan(38^{\circ})=\dfrac{BD}{AD}

\implies \sf AD=\dfrac{\dfrac{29\sqrt{3}}{3}}{\tan(38^{\circ})}

\implies \sf AD=21.4\:(nearest\:tenth)

\implies \sf AC=AD+DC=21.4+29=50.4

The interior angles of a triangle sum to 180°

⇒ ∠A + 52° + 90° = 180°

⇒ ∠A = 180° - 90° - 52°

⇒ ∠A = 38°

⇒ ∠ABC + 38° + 30° = 180°

⇒ ∠ABC = 180° - 38° - 30°

⇒ ∠ABC = 112°

**I have checked the measures using a graphing programme - see attached**

8 0
2 years ago
Which of the following points are solutions to the equation
vodomira [7]
(0,-4) (3,14) (-2,-16)
4 0
3 years ago
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Specifications for a piece of material used in the manufacture of a bed mattress require that the piece be between a Lower and U
wolverine [178]

Answer:

Hello a value is missing in your question below is the value

samples of n = 10

answer : 24.63 <  μ  < 25.370

Step-by-step explanation:

Given :

Sample size = n = 10

Z∝/2 = Z0.0256 = 1.95

next calculate for margin of error

E = Z∝/2 * ( 0.6 /  / \sqrt{10} )

   = 0.370

therefore at  94.87% confidence interval the estimated population mean is

x - 0.370 < μ <  x + 0.370

25 - 0.370 < μ < 25 + 0.370

24.63 <  μ  < 25.370

4 0
3 years ago
Someone please help.
givi [52]

Answer:

<h2>174ft²</h2>

Step-by-step explanation:

Area of a Rectangle = L x W

L = 8

W = 6.5

Area of a Rectangle = 8 x 6.5 = 52

Surface Area = Area of a Rectangle x Number of Rectangles

Surface Area = 52 x 2 = 104

Area of a Rectangle = L x W

L = 8

W = 5

Area of a Rectangle = 8 x 5 = 40

Surface Area = Area of a Rectangle x Number of Rectangles

Surface Area = 40 x 1 = 40

Area of a Triangle = B x H x 1/2

B = 5

H= 6

Area of a Triangle  = 5 x 6 x 1/2 = 15

Surface Area = Area of a Triangle x Number of Triangles

Surface Area = 15 x 2 = 30

Surface Area = Sum of Surface Areas =

104 + 40 + 30 = 174ft²

5 0
3 years ago
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Let n = 5. <br><br> What is the value of 4n − 3?
Alex73 [517]
<span>4n − 3
4 × 5 -3 = 17
</span>
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4 years ago
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