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3 years ago

Factor the following expressionx^2 +3xy+2y^2+4x+7y+3

Mathematics

1 answer:

alex41 [277]3 years ago

4 0

This expression can't be factored with rational numbers.

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The senior class want to play a practical joke on the principal, who was a former college basketball star. They want to fill his

steposvetlana [31]

The number of basketball that will fill up the entire office is approximately 16,615.

Recall:

Volume of a spherical shape = $\frac{4}{3} \pi r^3$

Volume of a rectangular prism = $l \times w \times h$

Given:

Diameter of basketball = 9.5 in.

Radius of the ball = 1/2 of 9.5 = 4.75 in.

Radius of the ball in ft = 0.4 ft (12 inches = 1 ft)

Dimension of the office (rectangular prism) = 20 ft by 18 ft by 12 ft

First, find the volume of the basketball:

Volume of ball = $\frac{4}{3} \pi r^3 = \frac{4}{3} \times \pi \times 4.75^3\\$

Volume of basketball = $448.92 $ in^3$

Convert to $ft^3$

$1728 $ in.^3 = 1 $ ft^3$

Therefore,

Volume of basketball = $\frac{448.92}{1728} = 0.26 $ ft^3$

Find the volume of the office (rectangular prism):

Volume of the office = $20 \times 18 \times 12 = 4,320 $ ft^3$

Number of basket ball that will fill the office = Volume of office / volume of basketball

Thus:

Number of basket ball that will fill the office = $\frac{4,320}{0.26} = 16,615$

Therefore, it will take approximately 16,615 balls to fill up the entire office.

Learn more here:

brainly.com/question/16098833

6 0

3 years ago

Here is the real problem ! Giving 30 points!

Sergeeva-Olga [200]

Answer:

A. the one in the table because after two hours it is the size of the one that began at 20 cm

B. the one describes by the graph because after 10 hours it would be 0 cm and the one described by the equation would be 5 cm

C. the one described by the graph will burn out in 10 hours as shown in the graph and the one described by the equation will burn out in 12 hours

Step-by-step explanation:

i hope this helps

3 0

3 years ago

Read 2 more answers

Solve the triangle. A = 19°, C = 102°, c = 6

Iteru [2.4K]

The area in degrees of a triangle is 180
So...

A+B+C=180

19+B+102=180

121+B=180

B=59°

6 0

4 years ago

Read 2 more answers

A plant is already 42 centimeters tall, and it will grow one centimeter every month.

lyudmila [28]

Answer:

h= 42+m

h= 59cm

Step-by-step explanation:

5 0

3 years ago

VARVARA [1.3K]

Answer: D(3) = 4 miles according to the graph.

Step-by-step explanation:

Look for the 3 on the time scale at the bottom of the graph. Follow the grid line straight up to where it meets the graphed line. Follow the grid line to the distance scale at the left to find the value at that point. It is 4 miles.

4 0

4 years ago