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2 years ago

Michael made 12 out of 18 free throws at basketball practice. What is the ratio of baskets made to the total numbers of baskets?

Mathematics

1 answer:

ludmilkaskok [199]2 years ago

5 0

Answer:

2:3

Step-by-step explanation:

You can simplify 12/18 to 2:3 also if michel is that good at basketball he should go to the NBA

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4x+2y=10 <br> X-y=13 <br> Write in (x,y)

Bad White [126]

Answer:

(x = 6, y = -7)

Step-by-step explanation:

Solve the following system:

{4 x + 2 y = 10 | (equation 1)

x - y = 13 | (equation 2)

Subtract 1/4 × (equation 1) from equation 2:

{4 x + 2 y = 10 | (equation 1)

0 x - (3 y)/2 = 21/2 | (equation 2)

Divide equation 1 by 2:

{2 x + y = 5 | (equation 1)

0 x - (3 y)/2 = 21/2 | (equation 2)

Multiply equation 2 by 2/3:

{2 x + y = 5 | (equation 1)

0 x - y = 7 | (equation 2)

Multiply equation 2 by -1:

{2 x + y = 5 | (equation 1)

0 x+y = -7 | (equation 2)

Subtract equation 2 from equation 1:

{2 x+0 y = 12 | (equation 1)

0 x+y = -7 | (equation 2)

Divide equation 1 by 2:

{x+0 y = 6 | (equation 1)

0 x+y = -7 | (equation 2)

Collect results:

Answer: {x = 6 , y = -7

5 0

3 years ago

A "point" is 1% of your borrowed amount on a mortgage. You want to pay 2 points to get a 0.5% reduction in your interest rate on

zzz [600]

Hi there:)

One point is 1%
Two points 2%

You want to pay two points so
175,000×0.02=3,500 ....answer

Hope it helps

5 0

3 years ago

The outer and inner triangles are both equilateral and the circle touches all three sides of the outer triangle. If the area of

Brrunno [24]

Answer:

The area of outer Δ = 40 cm²

Step-by-step explanation:

∵ Area of the small triangle = 10 cm²

If we join the center of the circle with the 3 vertices of the inner Δ

These 3 segments are the radii of the circle

Now the inner triangle has 3 isosceles Δ their sides are r , r and s1 with vertex angle 120° ⇒ (360° ÷ 3 = 120°)

Where r is the radius of the circle and s1 is the side of the inner triangle

<em>By using cosine rule</em>

(s1)² = r² + r² - 2r²cos120 = r² + r² - 2r² (-0.5) = r² + r² + r² = 3r²

∴ s1 = r√3

∵ The radius of the circle ⊥ to the side of the outer Δ because the side of the outer Δ is a tangent to the circle

If we join a vertex of the outer Δ with the center of the circle

We will have a right angle triangle of two legs r and half s2 with angle 60° (120° ÷ 2 )between them ⇒ s2 is the side of outer Δ

∴ tan 60° = 1/2 (s2) ÷ r ⇒ √3 = 1/2 (s2) ÷ r = (s2)/2r

∴ s2 = 2r√3

∴ s2 : s1 = 2r√3 ÷ r√3 = 2 : 1

∴ The side of the outer Δ is double the side of the inner Δ

<em>By using similarity ratio</em>

A2/A1 = (s2/s1)² ⇒ A2 and A1 are the areas of outer and inner triangles

∴ A2 : A1 = (2/1)² = 4/1

∴ A2 = 4 A1

∴ A2 = 4 × 10 = 40 cm²

5 0

3 years ago

What is the value of x

My name is Ann [436]

X=3

Explanation:

A straight line equals 180°, and they give you the one angle of 56°, so you know 56+ the other equation has to equal 180

56+4x+112=180
168+4x=180

Subtract 168 from both sides

4x=12

Divide 4 from both sides

X=3

You can check by filling it in.

56+4*3+112=

12+56+112=180

5 0

2 years ago

a tub shaped like a cylinder with a diameter of 18 inches, And a height of 20 inches Is filled to the top with water. Six spheri

jasenka [17]

The approximate amount of water that remains in the tub after the 6 spherical balls are placed in the tub are 3479.12 in³.

<h3>What is the approximate amount of water that remains in the tub?</h3>

The first step is to determine the volume of the cylinder.

Volume of the tub = πr²h

Where:

r = radius = diameter / 2 = 18/2 = 9 inches
h = height
π = 3.14

3.14 x 9² x 20 = 5086.8 in³

The second step is to determine the volume of the 6 balls.

Volume of a sphere= 4/3πr³

r = diameter / 2 = 8/2 = 4 inches

6 x (3.14 x 4/3 x 4³) = 1607.68 in³

Volume that remains in the tub = 5086.8 in³ - 1607.68 in³ = 3479.12 in³

To learn more about the volume of a sphere, please check: brainly.com/question/13705125

#SPJ1

4 0

2 years ago