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3 years ago

What is the best estimate for the product of 289 and 7

Mathematics

1 answer:

Alja [10]3 years ago

7 0

The best estimate would be 2,000 but, the original answer is 2,023

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Select all the statements that are true

masya89 [10]

Answer:

Options 2, 4 and 6 are True.

Step-by-step explanation:

Triangle MNO is dilated by a scale factor of $\frac{3}{2}$ centered at M(0, 6).

Rule to be followed to dilate the vertices of the given triangle,

(x, y) → (kx, ky)

Here, k = scale factor

By this rule vertices of the new triangle M'N'O' will be,

M(0, 6) → M'(0, 6) [Coordinates of M' will remain same as M because center of dilation is point M]

N(-4, -4) → N'(-6, -6)

O(6, -2) → O'(9, -3)

Option 1

M'N' is shorter than MN

Distance between M and N = $\sqrt{(0+4)^2+(6+4)^2}$

= 10.77

Distance between M' and N' = $\sqrt{(0+6)^2+(6+6)^2}$

= 13.42

Therefore M'N' > MN

Therefore, Option A is False.

Option 2

ON is shorter than O'N'

True.

Option 3

OM is longer than O'M'

False

Option 4

ON is parallel to O'N'

Since OM and MN are dilated with the same scale factor, O'N' will be parallel to ON.

True.

Option 5

OM is parallel than O'M'

Since, O'M' is the dilated form of OM,

Therefore, all the points (O, M and M') will be in a straight line.

False

Option 6

M'N' coincide with MN

True.

Therefore, Options 2, 4 and 6 are True.

3 0

2 years ago

Choose the fraction that has not been reduced to simplest form 19/3810/1921/3415/18

lozanna [386]

19/38 and 15/18

Explanation:

19/38 can be reduced as there is a factor other than 1 that can divide without a remainder. Factor is 19

It can still be reduced because 19*2 = 38

19/38 = 1/2

10/19 cannot be reduced as there is no factor other than one to divide without a remainder

21/34 cannot be reduced as there is no factor other than one to divide without a remainder

15/18 can be reduced as there is a factor other than 1 that can divide without a remainder.

The factor is 3

15/18 = 5/6

Fraction that has not been reduced to simplest form are 19/38 and 15/18

5 0

10 months ago

Johnathan wants to paint the bottom of his swimming pool the color blue. the swimming pool has a diameter of 50 feet . How many

Orlov [11]

Johnathan will need to paint 1,962.5 square feet.

d = 50^r = 25 A = 2
A = (25)2
A = (3.14)(625) A = 1,962.5

4 0

2 years ago

You want to stain the lateral faces of the wooden chest shown. Find the area that you want to stain in square inches.

natali 33 [55]

The surface area of the cube-shaped wooden chest which has the side edges of 4 feet shown is 96 square inches.

<h3>What is the surface area of a cube?</h3>

Surface area of cube is the sum of the area of each face by which it is enclosed. The surface area of cube can be calculated with the following formula;

$A=6a^2$

Here, (<em>a</em>) is the length of side of the cube.

You want to stain the lateral faces of the wooden chest shown. Find the area that you want to stain in square inches.

A cube-shaped wooden chest with side edges of 4 feet. Thus the surface area of it is,

$A=6a^2\\A=6(4)^2\\A=96\rm\; ft^2$

Thus, the surface area of the cube-shaped wooden chest which has the side edges of 4 feet shown is 96 square inches.

Learn more about the surface area of cube here;

brainly.com/question/1091166

#SPJ1

3 0

2 years ago

Square root of 17.083

Eddi Din [679]

Answer:

About 4.1331586

Step-by-step explanation:

$\sqrt[]{17.083}$ ≈ 4.1331586

8 0

2 years ago

Read 2 more answers