Evaluate the quotient of 1.05 x 103and 1 x 103:

1.05 x 10 -6
1.05 x 10 9
1.05 x 10 6
1.05 x 10 0

[tex]\bold{\huge{\underline{ Solution }}}[/tex]

Here, We have given

We know that,

Area of triangle

[tex]{\sf{=}}{\sf{\dfrac{1}{2}}}{\sf{ {\times} base {\times} height }}[/tex]

Subsitute the required values,

[tex]{\sf{=}}{\sf{\dfrac{1}{2}}}{\sf{ {\times} 3 {\times} 6}}[/tex]

[tex]\sf{ = 3 {\times} 3 }[/tex]

[tex]\bold{ = 9 }[/tex]

Therefore,

Area covered by 4 right angled triangles

[tex]\sf{ = 4 {\times} 9 }[/tex]

[tex]\bold{ = 36}[/tex]

Now,

We have to find the area of the big square

We know that,

Area of square

[tex]\sf{ = Side {\times} Side }[/tex]

Subsitute the required values,

[tex]\sf{ = 9 {\times} 9 }[/tex]

[tex]\bold{ = 81 }[/tex]

Therefore,

The total area of shaded region

= Area of big square - Area covered by 4 right angled triangle

[tex]\sf{ = 81 - 36 }[/tex]

[tex]\bold{ = 45 }[/tex]

Hence, The total area of shaded region is 45 .

Here,

We have to find the area of non shaded region

According to the question

Let the hypotenuse of the given right angled triangle be x

Therefore,

By using Pythagoras theorem,

That is,

[tex]\sf{ (Perpendicular)^{2} + (Base)^{2} = (Hypotenuse)^{2} }[/tex]

Subsitute the required values

[tex]\sf{ (6)^{2} + (3)^{2} = (x)^{2} }[/tex]

[tex]\sf{ 36 + 9 = (x)^{2} }[/tex]

[tex]\sf{ x = \sqrt{45}}[/tex]

[tex]\bold{ x = 6.7 }[/tex]

That means,

We know that ,

Area of square

[tex]\sf{ = Side {\times} Side }[/tex]

Subsitute the required values,

[tex]\sf{ = 6.7 {\times} 6.7 }[/tex]

[tex]\bold{ = 44.89 \:\: or \:\: 44.9 }[/tex]

Therefore ,

Area of non shaded region

= Area of big square - Area of small square

[tex]\sf{ = 81 - 44.9 }[/tex]

[tex]\bold{ = 36.1 }[/tex]

Hence, The total area of non shaded region is 36.1 or 36 (approx) .

Here, we have to

The total area of the figure

= Non shaded region + Shaded region

[tex]\sf{= 36 + 45 }[/tex]

[tex]\bold{= 81}[/tex]

Hence, The total area of the given figure is 81 .

Answer:don’t delete my comment I need more points lol

Step-by-step explanation:

Find the scale of the 2 known sides:

40/8 = 5

the larger shape is 5 times the size.

Multiply the known sides by 5:

X = 5 *5 = 25

x = 25

Answer: No

Step-by-step explanation:

If we don't know if the lines are parallel, we cannot conclude the angles are equal.

When two lines are parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure, and when the lines are not perpendicular the measure of the angle is not equal.

The intersecting lines (two or more) always meet at a single point. The intersecting lines can cross each other at any angle.

When two lines intersect each other, the two opposite pairs of angles formed are called vertically opposite angles.

If two parallel lines are intersected by a transversal, the corresponding angles formed are always equal in measure.

If the corresponding angles formed at the two intersections are congruent, the two lines will then be considered parallel.

The pair of corresponding angles always lies on the same side of a transversal.

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Answer:

option 1

Step-by-step explanation:

[tex]x - 3 + \frac{7 x- 9}{ {x}^{2} - 2 } [/tex]

your required answer

The approximate decimal value of tan(α) is -3.274, α intersects the unit circle at point (-0.292, 0.956)

A circle is the locus of a point such that its distance from a fixed point (center) is always constant.

A unit circle is a circle with a unit radius.

Given that:

The terminal side of angle α intersects the unit circle at point (-0.292, 0.956).

Hence:

tan(α) = (0.956 / -0.292) = -3.274

The approximate decimal value of tan(α) is -3.274, α intersects the unit circle at point (-0.292, 0.956)

Find out more on unit circle at: https://brainly.com/question/23989157

Answer:

Yes

Step-by-step explanation:

It is a first-degree equation. Look at the exponents of each variable (x, y), they are not written because they are 1

Hope this helps

Answer: No

Step-by-step explanation: In order for a triangle to be right, the first number and second number has to be smaller than the middle number.

20+30= 50

50>40

therefore 20,40,30 can not be a right triangle

Call the 3 sides a,b,c respectively. (a=20; b=30; c=40)

To form a right triangle with 3 lengths, they must satisfied the equation : [tex]a^{2} +b^{2} =c^{2}[/tex] (aka pythagorean theorem)

Replace numbers : [tex]20^{2} +30^{2} =40^{2}\\ 400 + 900 = 1600 (false)[/tex]

-> These lengths do not form a right triangle.

Answer:

The Height of the building would be 20 feet.

Step-by-step explanation:

1.) 1/8 = 2.5/X

2.) Answer: 20 Feet

3.) Cross Multiply

    - 1 inch is to 8 feet as 2.5 inches is to 20 feet.

[tex] \huge\mathbb\orange{ANSWER} [/tex]

[tex] \mathsf \purple{6x + 9 = 45}[/tex]

[tex] \mathsf \pink{6x + 9 - 9 = 45 - 9}[/tex]

[tex] \mathsf \purple{6x = 36}[/tex]

[tex] \mathsf \pink{ \frac{6x}{6} = \frac{36}{6} }[/tex]

[tex] \mathsf \purple{x = 6}[/tex]

[tex] \mathbb\orange{Hope\: It\: Helps} [/tex]

Answer:

Step-by-step explanation:

Step-by-step explanation:

let kevein be x and daniel be y

x=4y (equation i)

x=6+y(equationii)

putting the value of x in equationii

4y=6+y

3x=6

x=2

With a total of $49.50 one would be able to buy 12 DVDs in the video store

Given data

Required: the Number of DVDs that can be bought

The expression for find the number of DVDs is given as

Number of DVD = Total Amount/Cost per unit

Number of DVD = 49.50/4.25

Number of DVD =11.64

Hence $49.50 would buy approximately 12 DVDs

Learn about Estimates here;

https://brainly.com/question/5399974

Answer:

Yes

Step-by-step explanation:

To answer this question, we will need to know how many millimeters are in a kilometer.

1 km = 1,000,000 mm

Therefore, 6km is WAY bigger than 54,000 mm

Answer: 12 inches

Step-by-step explanation:

Step-by-step explanation:

I don't understand this question

come again

Answer:

[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{4 \pi }{3} = \pi + \frac{\pi }{3}[/tex]

tan ([tex]\frac{4\pi }{3}[/tex]) = [tex]-\frac{\sqrt{3} }{2}[/tex] ÷ [tex](- \frac{1}{2} )[/tex]

= [tex]\sqrt{3}[/tex]

hope this helps and is right!! p.s. i really need brainliest :)

Answer:

$1200

Step-by-step explanation:

5% of $3000 = $150

multiply 8 by $150 = $1200

Answer:

The 14th term is 8,192

Step-by-step explanation:

Well we can see that it is multiplying every next term by 2.

2nd term : 1*2 = 2

3rd term  : 2*2 = 4

4th term  : 4*2 = 8

So, we can simply carry out this process.

5th term  : 8*2 = 16

6th term  : 16*2 = 32

7th term  : 32*2 = 64

8th term : 64*2 = 128

9th term :  128*2 = 256

10th term : 256*2 = 512

11th term  : 512*2 = 1024

12th term : 1024*2 = 2048

13th term : 2048*2 = 4096

14th term : 4096*2 = 8192

The 14th term is 8,192

Answer:

8192

Step-by-step explanation:

The rate is x2. Multiplying to the 14th term gets to 8192.

hope this helps!

you take 99 divided by 22 = 4.5

I don't understand what exactly your teachers meaning so I would also suggest asking but the answer compered to everything I've learned in math would be 4.5.

have a good day/night!! :)

Answer:

  3072

Step-by-step explanation:

The number of cells is initially 3 and is multiplied by 2 every time t increases by 1/2 hour. This means the exponential function describing the number of cells can be written ...

  y = (initial value) × (growth factor)^(t/(growth period)

  y = 3 × (2^(t/(1/2)) = 3×2^(2t)

After 5 hours, the number of cells will be ...

  y = 3×2^(2·5) = 3×2^10 = 3×1024

  y = 3072

There are 3072 cells in 5 hours.

_____

Additional comment

The function could be simplified to ...

  y = 3×4^t

Answer:

the answer is just ab

Step-by-step explanation:

dats what it is added up

The length of line segment AB is 12 inches for the given figure.

A secant is a straight line that touches a circle twice.

As per the given figure, we have

Secant segment  BD = (8+10) in.

External secant segment BC = 8 in.

Tangent segment = AB

When a secant segment and a tangent segment intersect at an exterior location, the square of the tangent segment's measure equals the product of the secant segment's and its external secant segment's measures.

So, AB² = BC × BD

Substitute the values in the above equation,

AB² = 8 × (8+10)

AB² = 8 × 18

AB² = 144

AB = 12

Thus, the length of line segment AB is 12 inches.

Learn more about secants theorems here :

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The complete question has been attached below.

a. Using the vertical angles theorem, m∠7 = 47°.

b. Based on the definition of linear pair, the equation that can be used to solve for x is: 2x - 5 + 47 = 180.

c. x = 69

A linear pair is two angles whose sum equals 180°.

Given the image, where:

m∠5 = 47°

a. ∠5 and ∠7 are vertical angles. Since verticl angles are congurent, therefore:

m∠7 = m∠5 = 47°

m∠7 = 47°

b. m∠6 = (2x - 5)°

m∠6 + m∠5 = 180° (linear pair)

Substitute

2x - 5 + 47 = 180 (equation that can be used to solve x)

c. 2x - 5 + 47 = 180

2x + 42 = 180

2x = 180 - 42

2x = 138

x = 138/2

x = 69

Learn more about linear pair on:

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Answer A

Calculate it correctly you will get it

Answer:

c

Step-by-step explanation:

the area of a parallelogram is given by base ×height

in this case 10×5

Answer:

y = -13  

Step-by-step explanation:

y = 5(-2) - 3

y= -10 -3

y = -13  

Step-by-step explanation:

or, y = 5x - 3

or, y = 5 (-2) - 3

or, y = -10 - 3

y = -13

Using the given linear function, it is found that the expressions are given by:

It is:

4x - 3y = 12.

To find y in terms of x, we isolate y, hence the expression is given by:

[tex]3y = 4x - 12[/tex]

[tex]y = \frac{4x}{3} - 4[/tex]

To find x in terms of y, we isolate x, hence the expression is given by:

[tex]4x = 12 + 3y[/tex]

[tex]x = \frac{3y}{4} + 3[/tex]

More can be learned about linear functions at https://brainly.com/question/24808124

The above attachment is the answer. Hope it helps?

Answer:

25²×3is the equivalent answer

Answer:

3 2/5

Step-by-step explanation:

.

Answer:

1/8 is the smallest possible whole number length for the third side

Answer:

4/5

Step-by-step explanation:

Here is how to solve:

We start with a term called Rise over Run. We rise up 4. We then will run to the right 5. We have a slope of 4/5x. If the line is going up, then it will be a positive slope. If the line is going down., then it will be a negative slope. So, the line is going up, so it would be a positive 4/5x

Answer:

Positive slope or (2,3)_(-3,-2)

Step-by-step explanation:

I don't find your question very clear, but I have two possible answers for you.

Positive slope, the type/name of the slope.

(2,3)_(-3,-2), the coordinates.

I hope this answers your question ^^