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Mnenie [13.5K]
3 years ago
9

A number, x, rounded to 1 decimal place is 3.7 Write down the error interval for x.

Mathematics
1 answer:
soldier1979 [14.2K]3 years ago
6 0

Answer: (3.65, 3.74)

Step-by-step explanation:

Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.

if it is 5 or more, we round up

if it is smaller than 5, we round down.

Then for example, if we want to round:

4.534

to the first decimal place, we need to look at the second decimal place.

we can see that it is a 2.

Then we round down, and get:

4.5

Now we know that, when rounding to the first decimal place, we have:

x = 3.7

Then the maximum value that x could have is:

x = 3.74 (because here we round down to 3.7)

and the minimum value that x could have is:

x = 3.65 (because here we round up to 3.7)

Then the error interval for x is:

(3.65, 3.74)

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A grain silo has a circular base with an area of 260 square feet and is 21 feet tall What is the total volume?​
Leya [2.2K]

The correct answer is 5460 cubic feet or 5460 ft^{3}

Explanation:

The silo has a cylindrical shape, in this context, the volume of the silo or any other cylinder can be calculated by using the formula Volume =\pi r^{2} h. In this formula the symbol \pi refers to the number 3.1415..., the letter r refers to the radius of the base and the letter h refers to the height.

Moreover, in this case, it is known the heigh (21 feet) and the area of the base (260 square feet). Additionally, this area of the base is the result of the formula Area = \pi r^{2}, which is exactly the first section of the formula to find the volume. This implies that by multiplying the area of the base by the height the volume is known. Here is the process:

Volume = \pi r^{2} h  or  Volume = Ah   (Area of the base × height)

V = 260 square feet × 21 feet

V = 5460 cubic feet

6 0
2 years ago
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
HACTEHA [7]
First, let's re-arrange to slope-intercept form.

x + 8y = 27

Subtract 'x' to both sides:

8y = -x + 27

Divide 8 to both sides:

y = -1/8x + 3.375

So the slope of this line is -1/8, to find the slope that is perpendicular to this, we multiply it by -1 and flip it. -1/8 * -1 = 1/8, flipping it will give us 8/1 or 8.

So the slope of the perpendicular line will be 8.

Now we can plug this into point-slope form along with the point given.

y - y1 = m(x - x1)

y - 5 = 8(x + 5)

y - 5 = 8x + 40

y = 8x + 45
7 0
3 years ago
If the triangle on the grid below is translated by using the (x,y) -> (x+5, y-2) rule, what will be the coordinates of B'?
Art [367]
We know that
the coordinates of point B ( -5,0)

the translation has the following rule
(x,y)--------> (x+5, y-2)
so
(-5,0)-----> (-5+5,0-2)-----> (0,-2)

the answer is
<span>(0, –2) </span>
4 0
3 years ago
Read 2 more answers
So sorry to ask another question but I need some help-
Vika [28.1K]

Answer:

14x + 23

Step-by-step explanation:

The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet.

The perimeter of a triangle: the sum of all of its sides.

5x + 9 + 2x + 14 + 7x

14x + 23

It's the expression of the perimeter of the triangle. Once you will be asked to find x, you'll probably be given the exact perimeter of the triangle.

7 0
2 years ago
The school sold $6000 worth of tickets. Adult tickets were seven dollar and children’s tickets were three dollars. Three times a
padilas [110]

Answer:

1,500 tickets in total (375 adult tickets and 1,125 children tickets)

Step-by-step explanation:

Let x be the number of adult tickets sold.

Three times as many children tickets were sold as adults, so 3x is the number of children tickets sold.

Children tickets were three dollars, so 3x children tickets cost \$3\cdot 3x=\$9x.

Adult tickets were seven dollar, so x adult tickets cost \$7\cdot x=\$7x.

The school sold $6000 worth of tickets.

Hence,

9x+7x=6,000\\ \\16x=6,000\\ \\x=\dfrac{6,000}{16}=375\\ \\3x=1,125\\ \\x+3x=375+1,125=1,500

7 0
3 years ago
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