He surface area of a piece of paper is 692 cm2. Use the fact that 10 mm = 1 cm to convert this area to mm2. Give your answer as a number. Do not type the units in the space below.

Given:

Ratio of the side lengths of two similar rectangular prisms is [tex]\dfrac{3}{5}[/tex].

To find:

The ratio of their areas.

Solution:

If two figures are similar then their areas are proportional to the squares of their corresponding sides.

[tex]\dfrac{A_1}{A_2}=\dfrac{s_1^2}{s_2^2}[/tex]

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{s_1}{s_2}\right)^2[/tex]           ...(i)

Where, [tex]A_1,A_2[/tex] are areas and [tex]s_1,s_2[/tex] are corresponding sides.

It is given that ratio of the side lengths of two similar rectangular prisms is [tex]\dfrac{3}{5}[/tex]. It means, [tex]\dfrac{s_1}{s_2}=\dfrac{3}{5}[/tex].

Using (i), we get

[tex]\dfrac{A_1}{A_2}=\left(\dfrac{3}{5}\right)^2[/tex]

[tex]\dfrac{A_1}{A_2}=\dfrac{3^2}{5^2}[/tex]

[tex]\dfrac{A_1}{A_2}=\dfrac{9}{25}[/tex]

Therefore, the ratio of their areas is [tex]\dfrac{9}{25}[/tex]. It is also written as 9:25.

Answer:

i think the answer is c cuz theres 36 number cards

Answer:

4. (B)

5. (C)

6. (C)

7. (B)

8. (B)

9. (D)

10. (B)

Hope this helps! Have a nice day!

Step-by-step explanation:

Answer:

Almost...

The correct answer would be

To find the area of the base, multiply 15 times 16 then divide by 2

Then multiply by 19 to find the volume of the shape

Step-by-step explanation:

The base is a triangle

The area of a triangle = base length times height divided by 2

The triangle has a base length of 16 and a height of 15

So to find the area of the base we multiply 15 times 16 and divide that by 2

The volume of a prism is equal to the area of the base times the length of the prism

The length of the prism is 19 so we would then multiply by 19

Answer:

1/12 of the area of the circle

Step-by-step explanation:

Since the total angle measure of a circle is 360 degrees, a 30 degree sector is 30/360=1/12

Answer:

202

Step-by-step explanation:

360 - 60+50+48

360-158

= 202

Answer:

The answer would be 49

Step-by-step explanation:

Trust

Answer: The height is about 25 cm.

Answer:

xy/180 km

Step-by-step explanation:

Mathematically, we have it that;

Speed = distance/ time

If he cycles x km in 3 hours

We know that ; 60 minutes = 1 hr

3 hours = 3 * 60 = 180 minutes

So the speed in km per minutes will be;

x km/180 minutes = x/180 km/minute

Recall,

Distance = speed * time

= x/180 * y = xy/180 km

Answer:

irrational

Step-by-step explanation:

pi itself is irrational, so adding something to it makes no difference

Answer: Irrational

Step-by-step explanation:  The sum of two rational numbers is  

✔ always  rational.

The sum of a rational number and an irrational number is  

✔ never  rational.

The product of a rational number and an irrational number is  

✔ always  irrational.

The product of two rational numbers is  

✔ never  irrational.

Determine whether each of the following problems will have a rational or an irrational answer. Your answer should be either the word “rational” or “irrational.”

18+pi = irrational

A repeating decimal + A fraction   =rational

3/13 x sqrt 52 =irrational

9514 1404 393

Answer:

  it depends on what the question is (no question is given)

Step-by-step explanation:

What you add or subtract will depend on the problem you're trying to solve, and how you're trying to solve it.

Perimeter

The two left-side vertical segments are 13 and 3. The right-side vertical segment is 16. As you can see, these have the same total: 16.

The top horizontal segment has a length of 21. The two bottom horizontal segments have lengths 16 and 5, for a total of 21—the same as the top segment.

For simple L-shaped figures like this, the overall horizontal lengths and the overall vertical lengths are the same as they would be for a rectangle that is 21 wide and 16 high.

  P = 2(L+W) = 2(21+16) = 2(37) = 74 units

__

Area

The dashed lines divide this figure into 3 rectangles.

  left side: 16 wide by 13 high

  upper right: 5 wide by 13 high

  lower right: 5 wide by 3 high

You can see that the vertical measures must "add up", as must the horizontal measures. This fact helps you determine the lengths of the unmarked sides.

You can compute the area from the three rectangles identified above, or any of several other ways. One of my favorite is to compute the overall area of the 21 wide by 16 high rectangle, then subtract the 16 wide by 3 high white space at lower left.

  area = 21·16 -16·3 = 16·(21 -3) = 16·18 = 288 . . . . square units

Adding the 3 rectangles identified above gives ...

  16·13 +5·13 +5·3 = 208 +65 +15 = 288 . . . . same area

Answer:

n^2 - 5n - 24

Step-by-step explanation:

You can use FOIL to multiply the binomials.

FOIL stands for the 4 products you need to caclulate when multuiplying 2 binomials. It just reminds you todo the 4 needed multiplications.

F - first terms

O - outside terms

I - inside terms

L - last terms

                         F         O        I           L

(n - 8)(n + 3) = n * n + 3 * n - 8 * n - 8 * 3

Now we simplify the products and collect like terms.

= n^2 + 3n - 8n - 24

= n^2 - 5n - 24

Answer:

5,500 grams

Step-by-step explanation:

it is a measurement in kilograms meaning onethousand grams. so its 5,500 grams

Answer:

5500 Grams!

Step-by-step explanation:

Answer:

A: 5,8,11,14

B: 33,28,23,18

Step-by-step explanation:

Pattern A

2 +3 = 5

5+3 = 8

8+3 = 11

11+3 = 14

Pattern B

38 -5 = 33

33-5 = 28

28-5 =23

23-5 = 18

A: 2, 5, 8, 11, 14

B: 38, 33, 28, 23, 18

Answer:

[tex] \frac{13}{2} [/tex]

Step-by-step explanation:

slope of the line that passes thru (5, 3) and (8, A)

[tex] = \frac{a - 3}{8 - 5} \\ \frac{a - 3}{3} [/tex]

the line that is perpendicular to the given line is

6x + 7y + 13= 0

finding the slop of this line :-

[tex]6x + 7y + 13 = 0 \\ 7y = - 6x - 13 \\ y = - \frac{6}{7} x - \frac{13}{7} [/tex]

Comparing with standard equation of a line

y = mx + c

m = - 6/ 7

Since, the two lines are perpendicular to each other the product of their slopes will be - 1

[tex] \frac{a - 3}{3} \times \frac{ - 6}{7} \\ \frac{ - 2(a - 3)}{7} = - 1 \\ - 2a + 6 = - 7 \\ - 2a = - 7 - 6 \\ - 2a = - 13 \\ 2a = 13 \\ a = \frac{13}{2} [/tex]

( canceling the 2 negative signs on both the sides )

Answer:

7

Step-by-step explanation:

135 = 15*(x+2)

Answer:

x = 7

Step-by-step explanation:

The angles are alternate exterior angles and alternate exterior angles are equal for parallel lines

135 = 15(x+2)

Divide by 15

135/15 = 15/15(x+2)

9 = x+2

Subtract 2

9-2 = x+2-2

x = 7

Answer:

y = - [tex]\frac{3}{2}[/tex] x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = [tex]\frac{2}{3}[/tex] x + [tex]\frac{2}{3}[/tex] ← is in slope- intercept form

with slope m = [tex]\frac{2}{3}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{2}{3} }[/tex] = - [tex]\frac{3}{2}[/tex]

Using the point- slope form

with m = - [tex]\frac{3}{2}[/tex] and (x₁, y₁ ) = (- 2, 4) , then

y - 4 = - [tex]\frac{3}{2}[/tex] (x - (- 2) ) , that is

y - 4 = - [tex]\frac{3}{2}[/tex] (x + 2) ← distribute

y - 4 = - [tex]\frac{3}{2}[/tex] x - 3 ( add 4 to both sides )

y = - [tex]\frac{3}{2}[/tex] x + 1 ← in slope- intercept form

Answer:

A hexagon has six sides, and we can use the formula degrees = ( number of sides – 2) × j180. Then degrees = (6 – 2) × 180 = 720 degrees. Each angle is 720/6 = 120 degrees. straight angle is 180 and that one angle of hexagon 120 so 180 - 120 = 60

answer: value of x is 60 degrees

Answer:

D

Step-by-step explanation:

100-33=67

67-29=38

38%

:3

Answer:

Weber's Law

Step-by-step explanation:

Answer:

x = -9, 3

Step-by-step explanation:

you cross multiply

Answer:

 [tex]x=-9[/tex] or [tex]x=3[/tex]

Step-by-step explanation:

Cross multiply:

[tex]3/x+6=x/9\\\\\\(3) * (9)=x*(x+6)\\\\\\27=x^{2} +6x[/tex]

Subtract x^2 +6x from both sides:

[tex]27-(x^{2}+6x )=x^{2} +6x-(x^{2} +6x)\\\\\\-x^{2} -6x+27=0[/tex]

Factor left side of the equation:

[tex](-x+3)(x+9)=0[/tex]

Set factors equal to 0:

[tex]-x+3=0[/tex] or [tex]x+9=0[/tex]

Therefore, [tex]x=3[/tex] or [tex]x=-9[/tex]

hope this helps.....

Answer:

50

Step-by-step explanation:

trust me bro

The height of the kite is 47.5 feet.

Trigonometric ratio is used to show the relationship between the sides of a triangle and its angles.

Let h represent the height of the kite. Hence, using trigonometric ratios:

sin(30) = h / 95

h = 47.5 feet

Therefore the height of the kite is 47.5 feet.

Find out more at: https://brainly.com/question/20418073

Answer:

multiplying a fraction by a repeating decimal

Step-by-step explanation:

any fraction is rational

any repeating decimal is rational

therefore, product of the two would be rational

Answer:

m anglw ABD answers is 50 degree

Answer:

15 cm

Step-by-step explanation:

[tex]\frac{12}{24}[/tex] = [tex]\frac{x}{30}[/tex]

cross multiply and solve for x

or just notice that the fraction reduces to 1/2 and 15 is half of 30

the answer is in the picture

Step-by-step explanation:

[tex] \frac{3}{2} + \frac{x}{3} = \frac{11}{6} [/tex]

[tex] \frac{x}{3} = \frac{11}{6} - \frac{3}{2} [/tex]

[tex] \frac{x}{3} = \frac{11 - 3 \times 3}{6} [/tex]

[tex] \frac{x}{3} = \frac{11 - 9}{6} [/tex]

[tex] \frac{x}{3} = \frac{2}{6} [/tex]

[tex] \frac{x}{3} = \frac{1}{3} [/tex]

[tex]x = \frac{3 \times 1}{3} [/tex]

[tex]x = 1[/tex]

Answer:

x = 1

Step-by-step explanation:

3/ 2 + x/ 3 = 11/ 6

taking LCM

(9 + 2x)/ 6 = 11/ 6

multpiying both sides by 6

9 + 2x = 11

subtracting btih sides by 9

2x = 11 - 9

2x = 2

dividing both by 2

x = 1

Answer:

there are going to be three zeros.

x=-1

x=-6

x=5

Answer:

Each angle measures 44°.

Step-by-step explanation:

Answer:

44°

Step-by-step explanation:

180-92=88

Answer:

whats?

Step-by-step explanation:

Answer:

19/2 and 7.25

Step-by-step explanation:

1.

19/2=9.5

2×9.5+5.5=

19+5.5=

24.5

24.5 <20

verified

2.

2×7.25+5.5<20

14.50+5.5 <20

20 <20

verified

please mark as brainliest answer