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Sedaia [141]
3 years ago
7

Each marble bag sold by Rachel's Marble Company contains 3 purple marbles for every 2 green marbles. If a bag has 21 purple marb

les, how many green marbles does it contain?
Mathematics
1 answer:
kozerog [31]3 years ago
6 0
The ratio is 3:2, purple :green
The bag has 21 purple so to get from 3 to 21 it is multiplied by 7; so we must also multiply the 2 by 7 to keep the ratio balanced.
21:14
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A triangular bookself has a base of 10 inches,12 inches and 18 inches. Will the bookself fit in the corner of a square living ro
melisa1 [442]

Answer:

No, if fit means that the sides of the book case need to be flush with the wall, which means that the sides of the bookcase are touching the wall and the bookcase fits perfectly in that spot

Step-by-step explanation:

A square room will have corners that meause 90°, so we need to see if any of the vertices of the bookcase measure 90°.  All right triangles have a 90° in them, so we can use Pythagorean Theorem to solve this.

 Pythagorean Theorem is  a² + b² = c²,    where a and b are the legs, and c is the hypotenuse.  Since the hypotenuse is always the longest side, for our bookshelf, 10 and 12 are the legs, and 18 would be the hypotenuse if it is a right triangle.   Plug the values in to see if the equation is true or false

10² + 12² = 18²

  100 + 144 = 324

     244 ≠ 324   so the bookcase does not form a right angle, and won't fit in the corner of the room

4 0
3 years ago
You need to find the distance across a river, so you make a triangle. BC is 661 feet, m∠B=103.2° and m∠C=14.4°. Find AB.
kati45 [8]

Answer:

AB = 185.77 feet

Step-by-step explanation:

From the figure attached, in ΔABC,

m∠B = 103.2°, m∠C = 14.4° and side BC = 661 feet

We have to find the measure of side AB.

Since ∠A + ∠B + ∠C = 180°

∠A + 103.2 + 14.4 = 180

∠A + 117.6 = 180

∠A = 180 - 117.6

     = 62.4°

By applying sine rule in the given triangle ABC

\frac{AB}{sinC}=\frac{BC}{sinA}

\frac{AB}{sin14.4}=\frac{661}{sin62.4}

\frac{AB}{0.249}=\frac{661}{0.886}

AB = \frac{0.249\times661}{0.886}

     = 185.77 feet

Therefore, AB = 185.77 feet will be the answer.

4 0
3 years ago
The two squares x and y are mathematically similar. The areas of x and y are 17cm squared and 272cm squared, respectively. The l
Rasek [7]
I would set this up as a a proportion:
\frac{17cm}{5cm}  · \frac{272cm}{x} 
17x = 1360
x = 20 cm
6 0
3 years ago
Rays QR and QS are tangents to circle P at R and S. If Q measures to 54°, find RS
Ainat [17]

Answer: 126^{\circ}

Step-by-step explanation:

If we draw RP and PS, then in the quadrilateral formed, we know that \angle PRQ=\angle PSQ=90^{\circ}, and since angles in a quadrilateral add to 360 degrees, this means \angle SPR=126^{\circ}.

Thus, arc RS also measures 126 degrees

8 0
2 years ago
. The formula for the area A of a trapezoid is
cupoosta [38]

Answer:

h=A/(b1+b2/2)

Step-by-step explanation:

it is the reverse

8 0
3 years ago
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