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2 years ago

Square root of 3/r=9

Mathematics

1 answer:

just olya [345]2 years ago

8 0

Answer:

1⁄27 = r

Step-by-step explanation:

3 ÷ 1⁄27 → 3 × 27 = 81
√81 = ±9

In step 1, dividing by a term is the same as multiplying by its multiplicative inverse.

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The product of 18 and a number is 109.8

timama [110]

Answer:

6.1!

Step-by-step explanation:

The product means you multiply, so you should divide 109.8 by 18. That will get you 6.1 as the answer.

8 0

2 years ago

Read 2 more answers

Three litres of milk cost r29,95 at shop a and two liters of milk cost r15,95 at shop

Savatey [412]

At first shop the 3 liters of milk cost 2995
cost per liter = cost / volume
cost per liter = 2995 / 3 L
cost per liter = 998 per liter of milk

at second shop the two liters of milk cost 1595
cost per liter = cost / volume
cost per liter = 1595 / 2 L
cost per liter = 797.5 per liter of milk

6 0

2 years ago

Noah is writing an exam for his 8th grade students. The exam is worth 100 points and Noah wants 35 questions on the exam. He pla

MaRussiya [10]

Answer: the system of equations are

x + y = 35

3x + 2y = 100

Step-by-step explanation:

Let x= the number of short answer questions.

Let y= the number of multiple choice questions.

Noah wants 35 questions on the exam. This means that

x + y = 35

He plans to mix short answer questions, worth 3 points, with multiple choice questions worth 2 points. This means that x short answer questions will give 3x points and y multiple choice questions will give 2y points

Since the exam is worth 100 points, then,

3x + 2y = 100 - - - - - - - -1

Substituting x = 35 - y into equation 1, it becomes

3(35 - y) + 2y = 100

105 - 3y + 2y = 100

y = 105 - 100 = 5

x = 35 - y = 35 - 5

x = 30

3 0

2 years ago

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books. Let x represent the number of fiction books

Marta_Voda [28]

Given:

Elliot has a total of 26 books. He has 12 more fiction books than nonfiction books.

To Find:

A system of linear equations represents the situation.

Answer:

$x+y=26\\\\x=y+12$

Step-by-step explanation:

We are given that x represents the number of fiction books and y is the number of non-fiction books.

We are also given that the total number of books Elliot has is 26 which includes both fiction and non-fiction. So, we may write

$x+y=26$

Next, we are given that there are 12 more fiction books than non-fiction books. This means, the fiction books are more in number and so, we may write

$x=y+12$

So, the total system of equations can be represented as

$x+y=26\\\\x=y+12$

4 0

2 years ago

Read 2 more answers

If a cone with a diameter of 10 meters has a surface area of 290.6 square meters, find its slant height.

Finger [1]

<h2>Hello!</h2>

The answer is:

The slant height is 13.43 m.

$l=13.43m$

To solve the problem, we need to use the following equations to calculate the total surface area and the lateral surface area of right cone:

$TotalSurfaceArea=LateralSurfaceArea+BaseArea$

$LateralSurfaceArea=\pi *r*l$

Where,

r, is the radius of the cone.

l, is the slant height of the cone.

We are given the following information:

$TotalSurfaceArea=290.6m^{2} \\Diameter=10m\\Radius=\frac{1}{2}d=\frac{1}{2}10m=5m$

So, calculating the area of the base(circle) in order to find the lateral surface area, we have:

$BaseArea=\pi *r^{2} \\\\BaseArea=\pi *5m^{2} =\pi *25m^{2}=79.54m^{2}$

Then, substituting the area of the base into the total surface area to calculate the surface area of the cone, we have:

$LateralSurfaceArea=TotalSurfaceArea-BaseArea$

$LateralSurfaceArea=290.6m^{2}-79.54m^{2}$

$LateralSurfaceArea=211.06m^{2}$

Now, calculating the slant height, we have:

$LateralSurfaceArea=\pi *r*l$

$l=\frac{LateralSurfaceArea}{\pi*r }$

Substituting, we have:

$l=\frac{211.06m^{2}}{\pi*5 }=\frac{211.06}{15.71m }$

$l=\frac{211.06}{15.71m }=13.43m$

Hence, we have that the slant height is 13.43 m.

$l=13.43m$

Have a nice day!

6 0

2 years ago