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3 years ago

14

What is 4x10 to the power of 2 in standard notation?

1 answer:

Fofino [41]3 years ago

6 0

<span>4x10</span>²
You can either do this by solving,
4 × (10 × 10)
4 × 100
400

Or you can do it by just moving the (invisible) decimal point after 4, 2 spaces to the right (because the exponent is positive.
4.00
400

So in standard notation, it's 400.

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According to these three facts, which statements are true?

riadik2000 [5.3K]

Answer:

Circle f is a translation of circle d

6 0

3 years ago

If a number added to five is divided by the difference of the number and two, the result is three-fourths. Find the number.

alexandr1967 [171]

Answer:

x = - 26

Step-by-step explanation:

Let the number be x.

According to the question,

$\frac{x+5}{x-2} = \frac{3}{4}\\$

Cross multiplying 4 & 3 gives :-

$4(x+5)=3(x-2)$

And solving this eqn. gives :-

$4(x+5)=3(x-2)\\=> 4x+20=3x-6\\=>4x-3x=-20-6\\=>x=-26$

Verification :-

(putting the value of x = -26 )

$\frac{x+5}{x-2} \\\\=>\frac{-26+5}{-26-2} \\\\=> \frac{-21}{-28} \\\\=>\frac{21}{28}$

Reducing $\frac{21}{28}$ by 7 gives $\frac{3}{4}$ .

5 0

3 years ago

If DEF=GJH, find each missing measure

Bas_tet [7]

Congruent triangles have equal corresponding sides and angles.

The measure of the side lengths are: $\mathbf{DF = 16m}$ , $\mathbf{JH = 14m}$ and $\mathbf{GJ = 19m}$
The measure of the angles are: $\mathbf{\angle G = 34^o}$ , $\mathbf{\angle J = 41^o}$ and $\mathbf{\angle F = 105^o}$

The given parameters are:

$\mathbf{\triangle D EF \cong \triangle GJH}$

$\mathbf{EF = 14m}$

$\mathbf{D E = 19m}$

$\mathbf{GH = 16m}$

$\mathbf{\angle D = 34^o}$

$\mathbf{\angle H = 105^o}$

$\mathbf{\triangle D EF \cong \triangle GJH}$ means that triangles DEF and GHJ are congruent triangles.

So, we have:

$\mathbf{DF = GH}$

This gives

$\mathbf{DF = 16m}$

Also, we have:

$\mathbf{JH = EF}$

This gives

$\mathbf{JH = 14m}$

Also, we have:

$\mathbf{GJ = DE}$

This gives

$\mathbf{GJ = 19m}$

The following angles are also congruent

$\mathbf{\angle F = \angle H}$

This gives

$\mathbf{\angle F = 105^o}$

Also, we have:

$\mathbf{\angle G = \angle D}$

This gives

$\mathbf{\angle G = 34^o}$

The measure of angle J is then calculated using

$\mathbf{\angle J + \angle H + \angle G = 180^o}$

This gives

$\mathbf{\angle J + 105 + 34= 180^o}$

$\mathbf{\angle J + 139= 180^o}$

Subtract 139 from both sides

$\mathbf{\angle J = 41^o}$

Read more about congruent triangles at:

brainly.com/question/4364353

6 0

2 years ago

What is the midpoint of the segment shown below?

svetoff [14.1K]

Answer:

A

Step-by-step explanation:

Find the midpoint using the midpoint formula

midpoint = [ $\frac{1}{2}$ (2 + 2), $\frac{1}{2}$ (4 - 7) ] = (2, - $\frac{3}{2}$ )

4 0

3 years ago

Read 2 more answers

Alecsey [184]

Answer:

Yes

Step-by-step explanation:

It goes down by 4 every time.

7 0

3 years ago