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2 years ago

What is: 2/3 X 5/6 X 14 = ___.

1 answer:

3 0

Lets start with 2/3 × 5/6 so first we multiply the numerator with the numerator and then the denominator with the denominator: 2×5 and 3×6
so after we multiply the numerators we get 10 and after multiplying the denominators we get 18
10/18 is our new fraction
next we have 10/18 × 14 so we multiply 14 with the numerator and we get our new numerator of 140
and our new fraction is 140/18 which also means 140 ÷ 18
now 18 can go into 140 only 7 times as a whole but then afterwards there is a remainder of 14
so 140/18 = 7 14/18 but 14/18 can be simplified since the have a GCF of 2
so you divide the numerator and denominator by 2 and get 7/9
7 7/9 is your answer i hope this helps

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What is the volume of a hemisphere with a radius of 2.1 m, rounded to the nearest tenth of a cubic meter?

Art [367]

Answer:

The volume of hemisphere is 19.4 cubic meter.

Step-by-step explanation:

Given:

A hemisphere is with a radius of 2.1 m.

Now, to find the hemisphere volume with radius 2.1 m.

$Radius\ (r) = 2.1 m.$

So, we put formula to get the volume of hemisphere:

$Volume=\frac{2}{3} \pi r^3\ \ \ \ \ (Taking\ the\ value\ of\ \pi =3.14)\\\\Volume=\frac{2}{3} \times 3.14\times 2.1^3\\\\Volume=\frac{2}{3} \times 3.14\times 9.26\\\\Volume=19.384\ cubic\ meter.$

Hence, the rounded to the nearest tenth of a cubic meter is 19.4 cubic meter.

Therefore, the volume of hemisphere is 19.4 cubic meter.

3 0

2 years ago

The area of the triangle below is 8.91 square inches. What is the length of the base?

Studentka2010 [4]

Answer:

8.1 inches

Step-by-step explanation:

Area of a triangle = ½ × base × height = Area

Rearranged =

$\frac{area}{ \frac{1}{2} \times height}$

Base is the length by the way.

$\frac{8.91}{ \frac{1}{2} \times 2.2 }$

=8.1 inches

6 0

2 years ago

Read 2 more answers

What is 464.1587734 in fraction form

loris [4]

Answer:

464.1587734 = 464 793867/5000000

3 0

2 years ago

Eric was rock climbing. At one point, he stopped and climbed straight down 2\dfrac{1}{2}2

nikitadnepr [17]

The equation that matches the given situation is $-2\frac{1}{2}+6\frac{3}{4}=?$ . So, after two moves, Eric's elevation changed $4\frac{1}{4}$ meters above.

We know that in mathematics, subtraction means removing something from a group or a number of things. What is left in the group gets smaller when we subtract. The minuend is the first element we use. The subtrahend is the part that is being removed. The difference is the portion that remains after subtraction.

Assume that "negative" means climbing down and "positive" means climbing up. We must locate the elevation change in this area.

Given that Eric climbed straight down $2\frac{1}{2}$ meters. So we can write $-2\frac{1}{2}$ .

Again Eric climbed straight up $6\frac{3}{4}$ meters. So, we can write $6\frac{3}{4}$ .

Then the change = $-2\frac{1}{2}+6\frac{3}{4}$

= $-\frac{(2*2+1)}{2}+\frac{6*4+3}{4}$

= $-\frac{5}{2} +\frac{27}{4}$

= $\frac{-(5*2)+27}{4}$

= $\frac{-10+27}{4}$

= $\frac{17}{4}$

= $\frac{4*4+1}{4}$

= $4\frac{1}{4}$

Therefore, the equation that matches the given situation is $-2\frac{1}{2}+6\frac{3}{4}=?$ . So, after two moves, Eric's elevation changed $4\frac{1}{4}$ meters above.

Learn more about subtraction here -

brainly.com/question/24116578

#SPJ10

7 0

1 year ago

The sum of two numbers is 21. the second number is six times the first number.

Tamiku [17]

Answer:

Therefore first number is 3 and second number is 18

Step-by-step explanation:

Sum of the two numbers is 21 and Second number is six times the first number

x+6x = 21

7x = 21

x = 21/7

x = 3

substitute x value in 6x to find second number,

= 6x

= 6*3

= 18

8 0

2 years ago