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3 years ago

What is 8.545 kilograms rounded to the nearest hundredth?

1 answer:

7 0

8.545 rounded to the nearest hundredth is 8.55. I think so because the number in the hundredth place is 4, the number on the right of it is 5. 5 is equal to 5 so the 4 turns into 5

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How has the school closing effected your daily life? How do you feel about learning math online? Be sure to mention some benefit

Zigmanuir [339]

Answer:

Step-by-step explanation:

While some might feel that online learning is the fun leisurely form of schooling that grants tons of free time, it honestly gets old quick. Being in quarantine makes it all the more worse because you do nothing all day. On the subject of math though, it is a disservice to have to learn math online. Personally, it is my experience that having a physical teacher and classroom to learn with is crucial to ones mathematical ability, but it's not the end of the world, it won't last long and it won't affect you that bad. Sure, the benefits include having more control over your day which is a good source of preparation for college life and responsibilities of being an adult, but you lose daily interpersonal interactions and typical casual daily exercise, since you no longer walk to class. Nevertheless, we will push on.

4 0

2 years ago

Question 19 Only, Please show your work. Solve the problem.

ankoles [38]

Answer:

$5\sqrt{2}$

Step-by-step explanation:

Draw a diagonal (line segment from one corner to the opposite corner). You'll form two right triangles with the diagonal being the hypotenuse of both triangles.

Use the Pythagorean Theorem: (leg)^2 + (leg)^2 = (hypotenuse)^2.

Let h represent the length of the hypotenuse.

$h^2 = 5^2+5^2\\h^2=25 + 25\\h^2 =50\\h=\sqrt{50}\\h=5\sqrt{2}$

The question is just a bit vague. It should say opposite corners. I'm assuming the question does not mean the length of one side!

5 0

2 years ago

Show work and explain with formulas:

Marina86 [1]

17 Answer: 205

Step-by-step explanation:

$\{1\dfrac{2}{3}+1\dfrac{5}{6}+2+...+8\dfrac{1}{3}\}\implies a_1=1\dfrac{2}{3},\ d=\dfrac{1}{6}\\\\\\a_n=a_1+d(n-1)\qquad solve\ for\ n\\\\8\dfrac{1}{3}=1\dfrac{2}{3}+\dfrac{1}{6}(n-1)\\\\\\\dfrac{25}{3}=\dfrac{5}{3}+\dfrac{1}{6}n-\dfrac{1}{6}\\\\\\\dfrac{50}{6}=\dfrac{10}{6}+\dfrac{1}{6}n-\dfrac{1}{6}\\\\\\\dfrac{41}{6}=\dfrac{1}{6}n\\\\\\\dfrac{41}{6}\cdot 6=n\\\\41=n$

$\text{Now use the sum formula:}\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{41}=\dfrac{1\dfrac{2}{3}+8\dfrac{1}{3}}{2}\cdot 41\\\\\\.\quad =\dfrac{10}{2}\cdot 41\\\\\\.\quad =5\cdot 41\\\\.\quad =\large\boxed{205}$

18 Answer: 1968

Step-by-step explanation:

$a_1=-6,\ d=2,\ n=48, \quad \text{solve for }a_{48}\\\\a_{n}=a_1+d(n-1)\\\\a_{48}=-6+2(48-1)\\\\.\quad =-6+2(47)\\\\.\quad =-6+94\\\\.\quad =88$

$\text{Now use the sum formula:}\\\\S_n=\dfrac{a_1+a_n}{2}\cdot n\\\\\\S_{48}=\dfrac{-6+88}{2}\cdot 48\\\\\\.\quad =\dfrac{82}{2}\cdot 48\\\\\\.\quad =41\cdot 48\\\\.\quad =\large\boxed{1968}$

19 Answer: -116

Step-by-step explanation:

$\{3, -2, -7, ...\}\\a_1=3,\ d=-5,\ n=8, \quad \text{solve for }a_{8}\\\\a_{n}=a_1+d(n-1)\\\\a_{8}=3-5(8-1)\\\\.\quad =3-5(7)\\\\.\quad =3-35\\\\.\quad =-32\\\\\text{Now use the sum formula:}\\\\S_8=\dfrac{a_1+a_8}{2}\cdot 8\\\\\\S_{8}=\dfrac{3-32}{2}\cdot 8\\\\\\.\quad =\dfrac{-29}{2}\cdot 8\\\\\\.\quad =-29\cdot 4\\\\.\quad =\large\boxed{-116}$

6 0

2 years ago

The figure shows a parallelogram inside a rectangle outline: A parallelogram is shown within a rectangle. The length of the rect

Dominik [7]

Answer=5/16 or 0.3125 feet

Step-by-step explanation:

7 0

3 years ago

Show different ways to make 708.496

Lady bird [3.3K]

Answer:

708.496×1

2×354.248

177.124 ×4

Step-by-step explanation:

Here are 3 ways.

You would divide 708.496 with some numbers and you have different ways.

Hope this helped!

5 0

3 years ago