MATHEMATICS HIGH SCHOOL

Factor completely 49x2 − 81

Answers

Answer 1

Answer: 49x2 - 81
(7x - 9)(7x + 9)

Answer 2

Answer:

Answer:

(7x + 9)(7x -9)

Step-by-step explanation:

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The bottom of a box has a surface area of 31.4 cm2. The mass of the box is 47.1 kilograms. Acceleration due to gravity at sea level is 9.80 m/s2. What pressure is exerted by the box where it rests?14.7 N
1.5 N
0.153 N
6.53 N

Answers

The correct answer to the physics problem in pressure given above would be 1.5 N.

First, I converted the cm^2 to m^ 2 (31.4 cm^2 = .00314 m^2).

Then I computed for the force (F= mg = (47.1kg)(9.8m/s^2) = 461.58 N)

Consequently, I used the equation of pressure (P = Force/Area).
P = 461.58 N / .00314 m^2
P = 1.47 or 1.5 N

Answer:

Pressure = 147,000 N.

Step-by-step explanation:

Given : The bottom of a box has a surface area of 31.4 cm². The mass of the box is 47.1 kilograms. Acceleration due to gravity at sea level is 9.80 m/s².

To find : What pressure is exerted by the box where it rests.

Solution : We have given that area of box = 31.4 cm²

First we convert it in meter².

1 meter = 100 cm

31.4 cm² = 0.00314 meter².

Mass of box = 47.1 kg

Acceleration due to gravity = 9.80 m/s².

According to Newton second law of motion , F = mass * Acceleration due to gravity.

F = 47.1 * 9.8

F = 461.58 Newton.

Pressure = $(Force)/(Area)$ .

Plugging the values of force and area.

Pressure = $( 461.58)/(0.00314)$ .Pressure

Pressure = 147,000 N.

Therefore, Pressure = 147,000 N.

The vertices of a quadrilateral ABCD are A(4, 8), B(10, 10), C(10, 4), and D(4, 4). The vertices of another quadrilateral EFCD are E(4, 0), F(10, -2), C(10, 4), and D(4, 4). Which conclusion is true about the quadrilaterals? (5 points)A.The measure of their corresponding angles is equal.
B.The ratio of their corresponding angles is 1:2.
C.The ratio of their corresponding sides is 1:2
D.The size of the quadrilaterals is different but shape is same.

Answers

The right answer for the question that is being asked and shown above is that: "D.The size of the quadrilaterals is different but shape is same." The two quadrilaterals are similar. Quadrilateral EFCD is just a mere reflection of quadrilateral ABCD.

The hypotenuse is the side across from the right angle, and it's also the longest side of the triangle.

Answers

Yes You are correct.

Answer:

true

Step-by-step explanation:

HELP ME PLS one bottle of shampoo costs 6 dollars for 8 Oz a second bottle costs 4 dollars for 5oz of shampoo wich has a lower unit rate and how much lower