Enter the sum of numbers as a product of their GCF. 45 + 30

Answers

Answer 1

Answer: 45 + 30 = 15(3 + 2) = 15(5) = 75

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What is the prime factor of 21!

Answers

Answer:

3*7

Step-by-step explanation:

21 = 3*7

Both 3 and 7 are prime

3x7 they are both indistinct prime factors

How many outer atoms and lone pairs are present in a molecule with a square pyramidal shape?

Answers

Answer:

5 Outer and 1 lone pair

Step-by-step explanation:

A square pyramidal shape results when one of the bonds of an octahedron structure is occupied by a lone pair.

Hence there are 5 bonded atoms and one lone pair. The hybridization about the central atom is $sp^(3) d^2$ .

One of the most common example is Xenon tetraflouride. $XeF_4$ . Looking at its structure we can see that it has 5 pairs of outer atoms and one lone pair. With its coordination number 5. The shape of the orbitals is octahedral.

Final answer:

In a molecule with a square pyramidal shape, there are two lone pairs and four outer atoms.

Explanation:

When a central atom has two lone electron pairs and four bonding regions, we have an octahedral electron-pair geometry. The two lone pairs are on opposite sides of the octahedron (180° apart), giving a square planar molecular structure that minimizes lone pair-lone pair repulsions.

Learn more about molecular structure here:

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Which value is a solution to the inequality x < 4

Answers

Step-by-step explanation:

What are the options to choose from?

There are 5 strawberry boxes that are each filled with strawberries. Someone eats 5 of the strawberries. If each box holds a total of 18 strawberries, how many strawberries are left?

Answers

Well, 18-5=13, so there are 13 strawberries left.

There are 13 strawberries left.

Simplify the following expression by using the distributive property 6(3a-4)

Answers

$\huge\boxed{\boxed{Hello\:there!}}$

The Distributive property states that

a(b+c)=ab+ac

Now, let's simplify:

6(3a-4)

18a-24

$\huge\bold{Hope\:it\:helps\;and\;good\;luck.}$

$\huge\rm{LoveLastsAllEternity :)$

Answer:

first you multiply 6 and 3a which equals 18a. Then you multiply 6 and 4 which equals 24. So in the end it should look like: 18a-24

Explain how you can use the Triangle Sum Theorem to find the measures of the angles in an equilateral triangle.The angles of an equilateral triangle are . Let the measure of each angle be x. Then, by the Triangle Sum Theorem, x + x + x = 3x = °_____________. Solving for x gives x = °____________.

Answers

Answers:

The first blank is 180

The second blank is 60

======================================

The triangle sum theorem basically says that adding up all three angles of any triangle always leads to 180 degrees. So that's why

(angle1)+(angle2)+(angle3) = 180

x+x+x = 180

3x = 180

Divide both sides of that last equation by 3. This is to undo the multiplication of 3 done to x.

3x = 180

3x/3 = 180/3 ... divide both sides by 3

x = 60

Each angle of this equilateral triangle is 60 degrees. In an equilateral triangle, all three sides are the same length. Also in an equilateral triangle, all three angles are the same measure and always 60 degrees.

Final answer:

The Triangle Sum Theorem says that all angles in a triangle add up to 180 degrees. In an equilateral triangle, all angles are equal. Hence, each angle is 60 degrees.

Explanation:

The Triangle Sum Theorem states that the sum of the measures of the angles in a triangle is always 180 degrees. Now, in an equilateral triangle, all angles are equal. Let's denote the measure of each angle with x. According to the theorem, the sum of these measures is x + x + x = 180. Simplifying this gives 3x = 180. Hence, solving for x, which refers to the measure of each angle in the equilateral triangle, we get x = 180 / 3 = 60 degrees. Thus, each angle in an equilateral triangle measures 60 degrees.

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Other Questions

In tilapia, an important freshwater food fish from Africa, the males actively court females. They have more incentive to court a female who has already laid all of her eggs, but can they tell the difference? an experiment was done to measure the male tilapia's response to the smell of female fish. Water containing feces from females that were either pre-ovulatory (they still had eggs) or post-ovulatory (they had already laid their eggs) was washed over the gills of males hooked up to an electro-olfactogram machine which measured when the senses of the males were excited. The amplitude of the electro-olfactogram was used as a measure of the excitability of the males in the two different circumstances. Six males were exposed to the scent of pre-ovulatory females; their readings average 1.51 with a standard deviation of .25. Six different males were exposed to post-ovulatory females; their average readings of 0.87 with standard deviation is .31. Assume that the electro-olfactogram readings were approximately normally distributed within the groups.(A) test for a difference in the excitability of the males with exposure to these two types of females(B) what is the estimated average difference in electro-olfactogram readings between the two groups? What is the 95% confidnece limit for the difference between population means?

An oil company fills 1/12 of a tank in 1/3 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely? a. 1/12 x 3 hoursb. 1/3 x 12 hoursc. 1/3 x 1/12 hourd. 3 x 12 hours

In circle F what is the measure of arc CB?17.5357060

The best fit line is given by the equation y=0.5x+0.4, where y represents the distance in miles, and x represents the time for the trip in minutes.Use the best fit line to estimate the distance for a trip that takes 20 minutes.Enter your response in the box. Give the answer to the tenths place.miles