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almond37 [142]
3 years ago
5

Two ninths of 540 students at east side middle school are in chorus. 3/4 of chorus members are girls. 2/5 of the girls in chorus

are sopranos. What fraction of the school are girl sopranos in the chorus?
Mathematics
1 answer:
lisov135 [29]3 years ago
5 0
2/9 • 3/4 • 2/5 = 1/15
1/15 of of the students are girl sopranos in chorus.
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On the packaging for a triangular sail, the edge measurements for the sail are listed as 7 ft × 15 ft × 17 ft. Without unfurling
ASHA 777 [7]

Answer:

Shape of Triangular sail is Obtuse Angled Triangle.

Step-by-step explanation:

The triangle is obtuse since the sum of the squares of 2 sides are greater than the square of the third side. (Converse Pythagorean theorem) Hope this helps!

Given: Length of sides of triangular sail = 7 ft , 15 ft , 7 ft

To find: Shape of Sail .i.e., shape of triangle

We use a result which states that

if a , b  , c are sides of triangle where c is greater then a & b.

now, if c² < a² + b² then triangle is Acute angled

if c² = a² + b² then triangle is Right angled

if c² > a² + b² then triangle is Obtuse angled

here a = 7 , b = 7 &  c = 15

c² = 15² = 225

a² + b² = 7² + 7² = 49 + 49 = 98

since, c² > a² + b²

⇒ Triangle must be Obtuse Angled.

Therefore, Shape of Triangular sail is Obtuse Angled Triangle.

7 0
3 years ago
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Uhmmm helppppppp pls lol​
natulia [17]

Answer:

h=81

Step-by-step explanation:

Dont know how to explain but this is the answer

7 0
3 years ago
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Write the equation in standard form for the circle with center (0, -1) and radius 10.
BARSIC [14]

Answer:

x^2 + (y+1)^2 = 10^2

Step-by-step explanation:

Centre (p,q) = (0, -1)

radius, r = 10

General Equation of a circle

(x-p)^2 + (y-q)^2 = r^2

(x-0)^2 + (y- -1)^2 = 10^2

x^2 + (y+1)^2 = 10^2

7 0
3 years ago
The figure shows a square, a regular pentagon and a regular hexagon put together. What is the measure of ∠BAC
Elan Coil [88]

Answer:

42

Step-by-step explanation:

One angle of a regular pentagon = 108°

One angle of a regular hexagon = 120°.

One angle of a square = 90°

∴ ∠BAC = 360 – (108 + 20 + 90) 360 – 318 = 42°

8 0
2 years ago
5. What is the solution to the equation -2.5(x-4)=-3x+4?​
lana66690 [7]

Answer:

x = -12

Step-by-step explanation:

-2.5(x-4)=-3x+4

Distribute

-2.5x +10 = -3x +4

Add 3x to each side

-2.5x+10 +3x = -3x+4+3x

.5x +10 = 4

Subtract 10 from each side

.5x+10-10=4-10

.5x = -6

Divide by .5

.5x/.5 = -6/.5

x = -12

6 0
3 years ago
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