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2 years ago

Consider the proportion

Mathematics

1 answer:

andre [41]2 years ago

6 0

Answer:

5k=21.6 and 4.32

Step-by-step explanation: Right on edg.

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2. Reece is playing a carnival game in which he

Maslowich

25% or 2/4 and to win one game 50% or 1/2

6 0

2 years ago

Imaginen que un maratonista corre toda una carrera a una velocidad constante. Después de dos horas lleva recorridos 22 km

saw5 [17]

For this case we have:

If after 2 hours the marathon runner has traveled 22 kilometers we have:

2h -----------> 22km

Applying a rule of three, we can know the time it takes to run 42km. So, we have:

2h -----------> 22km

x -------------> 42km

Where "x" is the time it takes to travel 42km. Resolving we have:

$x = \frac {(42 * 2)} {22}$

$x = \frac {84} {22}$

$x = \frac {42} {11}$

$x = 3.82 hours$

Thus, after 3.82 hours the marathon runner will travel 42km.

Answer:

3.82 hours

6 0

2 years ago

The sides of a parallelogram are 40 and 70 feet long,and the smaller angle has a measure of 36.Find the length of the longer dia

Mumz [18]

Answer:

105 feet.

Step-by-step explanation:

The longer diagonal is opposite the longer angle in the parallelogram.

The longer angle = 180 - 36 = 144 degrees. (Reason: he same side angles are supplementary).

So, by the law of cosines:

x^ 2 = 40^2 + 70^2 - 2*40*70 cos 140 where x = the diagonal.

x^2 = 11030.50

x = 105.03 feet.

3 0

2 years ago

An artist wants to frame a square painting with an area of 400 square inches . she wants

Artemon [7]

(a) $x^{2}$ = 400
(b) $\sqrt{x^2} = \sqrt{400}$
$x=20,-20$
(c) Only the positive solution makes sense because you cannot have a negative side length.
(d) Since one side of the painting is 20 inches, all four sides together will be 20*4 = 80 inches

6 0

2 years ago

Area of the shaded segment=

garik1379 [7]

The area of the entire sector is $(\pi)(6^{2}) \left(\frac{60}{360} \right)=6\pi$

The area of the triangle OAB is $\frac{\sqrt{3}}{4}(6^{2})=9\sqrt{3}$ .

So, the area of the segment is $\boxed{6\pi-9\sqrt{3}}$

5 0

1 year ago