What is the greatest common factor of 55 , 99

Multiply ( × - 2 ) ( 3× + 4) using distribution method

posledela

Answer:

$3x^{2} -2x -8$

Step-by-step explanation:

To distribute you going to need to foil after you foil you add liked terms and put it into standard form.

steps are shown below

4 0

3 years ago

The leaning tower of Pisa currently "leans" at a 4 degree angle and has a vertical height of 55.86 meters. How tall was the lean

Marizza181 [45]

Answer:

56 meters.

Step-by-step explanation:

Please find the attachment.

Let the leaning tower's be h meters tall, when it was originally built.

We can see from our attachment that the side with length 55.86 meters is hypotenuse and h is adjacent side for 4 degree angle.

Since we know that cosine relates the adjacent and hypotenuse of a right triangle.

$\text{Cos}=\frac{\text{Adjacent}}{\text{Hypotenuse}}$

Upon substituting our given values we will get,

$\text{Cos (4)}=\frac{55.86}{h}$

$h=\frac{55.86}{\text{Cos (4)}}$

$h=\frac{55.86}{0.99756405026}$

$h=55.996\approx 56$

Therefore, the leaning tower was approximately 56 meters, when it was originally built.

6 0

3 years ago

What is the additive identity of rational number

Burka [1]

Answer:

zero(0)

Step-by-step explanation:

The additive identity of a set of number is a number such that the its sum with any of the numbers in the set would give a result that is equal to the number in that set.

In other words, say for example the set of numbers is rational, the additive identity of rational numbers is 0. This is because, given any rational number say x, adding zero to the number x gives the same number x. i.e

x + 0 = x

If x is say 2, then we have;

2 + 0 = 2

Since adding zero to rational numbers gives has no effect on the numbers, then zero (0) is the additive identity of rational numbers.

3 0

3 years ago

A right angled triangle has sides of length 9cm, 12cm and 15cm. Calculate its area in square centimetres.

Dmitriy789 [7]

The area of a right angled triangle with sides of length 9cm, 12cm and 15cm in square centimeters is 54 sq cm.

The formula to calculate the area of a right triangle is given by:

Area of Right Triangle, A = (½) × b × h square units

Where, “b” is the base (adjacent side) and “h” is the height (perpendicular side). Hence, the area of the right triangle is the product of base and height and then divide the product by 2.

We know that the hypotenuse is the longest side. So, the area of a right angled triangle will be half of the product of the remaining two sides.

Given sides of the triangle:

a=9cm

b=12cm

c=15cm

From this we know that the hypotenuse is c. Are of the triangle will be obtained by the other two sides.

∴Area = $\frac{1}{2}$ x 9 x 12

= 54 $cm^{2}$

5 0

1 year ago

Two non-common sides of adjacent supplementary angles form a _____ angle.

mel-nik [20]

Answer:

C. straight

Step-by-step explanation:

A Linear Pair is two adjacent angles whose non-common sides form opposite rays.

If two angles form a linear pair, the angles are supplementary.

A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary.

In the figure given in attachment, AB and BC are two non common sides of ∠ABD and ∠DBC.

∠1 and ∠2 form a linear pair.

The line through points A, B and C is a straight line.

∠1 and ∠2 are supplementary.

Thus two non-common sides of adjacent supplementary angles form a straight angle.

8 0

3 years ago

What is the greatest common factor of 55 , 99​

What is the greatest common factor of 55 , 99