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3 years ago

A netball court is 30m by 15m.What is the distance from one corner of the court to the other

Mathematics

2 answers:

irga5000 [103]3 years ago

8 0

Answer:

Step-by-step explanation:

The distance from one corner to other corner of the court is the diagonal.

Use Pythagorean theorem.

(diagonal)² = (length)² + (width)²

= 30² + 15²

= 900 + 225

= 1125

diagonal = √1125

= 33.54 m

steposvetlana [31]3 years ago

3 0

Answer:

It would be 33.54m from one corner to the other.

A2+B2=C2

fill out A as 30

fill out B as 15

If we square these we get 900 and 225

Those added together gives you 1125

So now square root 1125. That gives you 33.54m, your answer.

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A spherical balloon has a 34-in. diameter when it is fully inflated. Half of the air is let out of the balloon. Assume that the

jeka57 [31]

Answer:

a. 20,579.52 cubic inches

b.10,289.76 cubic inches.

c. 13.49 inches

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of a sphere:

Volume of a sphere: 4/3 π r³

Since diameter (d) = 2 radius (r)

Replacing with the value given:

34 =2r

34/2=r

r= 17 in

Back with the volume formula:

V = 4/3 π r³

V =4/3 π (17)³

V = 20,579.52 cubic inches

The volume of the half-inflated balloon is equal to the volume of the sphere divided by 2.

20,579.52/2 = 10,289.76 cubic inches.

To find the radius of the half-inflated balloon we have to apply again the volume formula and substitute v=10,289.76

10,289.76= 4/3 π r³

Solving for r

10,289.76/ (4/3 π)= r³

2,456.5 = r³

∛2,456.5 = r

r = 13.49 inches

7 0

3 years ago

Which expression is equivalent to 0.75a + 10b + a – 2b?

nexus9112 [7]

Answer:

Step-by-step explanation:

Sum a with a-s ;b with b-s so:

0.75a + 10b + a – 2b=0.75a+a+10b-2b=1.75a+8b

3 0

2 years ago

What is the measure of DG?

Masja [62]

Answer:

170

Step-by-step explanation:

7 0

3 years ago

Nicole runs a farm stand that sells bananas and peaches. Each pound of bananas sells for $2 and each pound of peaches sells for

stepan [7]

Answer:

The required system of equations is:

2x + 3.25y = 231.75

x = y + 3

where x is the number of pounds of bananas and y is the number of pounds of peaches

Explanation:

1- Defining the variables:

Assume that the number of pounds of bananas sold is x

Assume that the number of pounds of peaches sold is y

2- Setting the system of equations:

We are given that:

i. Each pound of bananas sells for $2

Money gained from selling x pounds of bananas is 2x

ii. Each pound of peach sells for $3.23

Money gained from selling y pounds of peaches is 3.25y

iii. Nicole made $231.75 in total. This means that:

2x + 3.25y = 231.75 .................> equation I

iv. Nicole sold 3 more pounds of bananas than pounds of peaches. This

means that:

pounds of bananas = pounds of peaches + 3

x = y + 3 ..................> equation II

3- Solving the equations (if required):

In equation II, we have: x = y + 3

Substitute with equation II in equation I and solve for y as follows:

2x + 3.25y = 231.75

2(y+3) + 3.25y = 231.75

2y + 6 + 3.25y = 231.75

5.25y = 231.75 - 6

5.25y = 225.75

y = 43

Substitute with y in equation II to get x:

x = y + 3

x = 43 + 3 = 46

Based on the above:

Number of pounds of bananas = x = 46 pounds

Number of pounds of peaches = y = 43 pounds

Hope this helps :)

4 0

3 years ago

A 1200 kg car rolling on a horizontal surface has speed v = 50 km/h when it strikes a horizontal coiled spring and is brought to

tangare [24]

When the car is moving, it has Kinetic Energy. As soon as the car entercount with the spring, its Kinetic Energy will transfer to Elastic Potential Energy.

KE = EPE 
1/2mv^2 = 1/2kx^2 

change the speed into m/s 
50 km/hr = 13.9 m/s 

1/2(1200)(13.9)^2 = 1/2k(2.2)^2 

now you do the math to solve for k.
k= 115926/2.42
K= 47903.30

8 0

3 years ago

A netball court is 30m by 15m.What is the distance from one corner of the court to the other​

A netball court is 30m by 15m.What is the distance from one corner of the court to the other