Find the volume of the cylinder.
13 radius 16 height

The triangles can be proven similar by the congruent theorem of triangles

What are Congruent Triangles?

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the two triangles be ABC and DEF

Now , the two triangles will be similar if

The three sides are equal

So , AB = BC = CD and

DE = EF = FD

And the two triangles are congruent if

By ASA theorem - two angles are the same and a corresponding side is the same

And ,

By SAS theorem : Two sides are equal and the angle between the two sides is equal

And ,

By RHS theorem : A right angle, the hypotenuse and a corresponding side are equal

Hence , the triangles ABC and DEF is similar ΔABC ≅ ΔDEF

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Answer:

1 24/25 or one and twenty-four twenty-fifths (in word form).

Step-by-step explanation:

This would be the answer since, we firstly have to convert the mixed fractions into improper fractions. 7/5*7/5, which equals to 49/25. In simplified form it would be 1 2/25.

1 2/5=7/5

7/5*7/5= 49/25 or 1 24/25.

Anyhow, the answer is 1 24/25

The simplified mixed fraction for the given fraction is  [tex]24\frac{1}{2}[/tex]

A fraction represented with its quotient and remainder is a mixed fraction, a mixed fraction is a combination of a whole number and a proper fraction.

Given that a fraction [tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]

We need to simply it in a mixed fraction,

[tex]1\frac{2}{5}[/tex] × [tex]1\frac{2}{5}[/tex]

= 7/2 × 7/2

= 49 / 2

= [tex]24\frac{1}{2}[/tex]

Hence, the simplified mixed fraction for the given fraction is  [tex]24\frac{1}{2}[/tex]

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Answer:

kaylas thinking of the number 414

Step-by-step explanation:

414 is divisable by 18 (414 divided by 23)

414 is palindrome

414 is one less than a multiple of 5 (415)

Answer:

414

Step-by-step explanation:

The last digit must be 4 or 9 since it is one less than a multiple of five. Then, it says the number must be divisible by 18, and 18 = 2x9. Only 4 is divisible by 2, so four must be the last digit. Since it's a palindrome, the first digit must also be four. Since it also has to be divisible by nine, 4 + 4 = 8, and 8 + 1 = 9.

Answer:

F

Step-by-step explanation:

Dependent is the y-axis and independent is the x-axis. So your answer is F.

Hope this helps, thank you !!

Step-by-step explanation:

area of trapezium= 1/2×sum of parallel sides× height

=1/2×(9+9+7)×8

=1/2×25×8

=100

I hope this helps( ╹▽╹ )♥

Answer:

am not really sute bt its ..no

Answer:

D

Step-by-step explanation:

Answer:

25.9

Step-by-step explanation:

If a tree casts a shadow 21 m long. Then the height of the tree will be 25.9 meters.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

A tree casts a shadow 21 m long.

The angle of elevation of the sun is 51°.

Let h be the height of tree.

Then the height of the tree will be

tan 51° = h / 21

        h = 25.93 m

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x 3

Step-by-step explanation:

Answer:

Percent error = 4.29%

Step-by-step explanation:

Percent error can be defined as a measure of the extent to which an experimental value differs from the theoretical value.

Mathematically, it is given by this expression;

[tex] Percent \; error = \frac {experimental \;value - theoretical \; value}{ theoretical \;value} *100[/tex]

Given the following data;

Experimental value = 67

Theoretical value = 70

Substituting into the equation, we have;

[tex] Percent \; error = \frac {67 - 70 }{ 70} *100[/tex]

[tex] Percent \; error = \frac {3}{70} *100[/tex]

[tex] Percent \; error = 0.04286 *100[/tex]

Percent error = 4.29%

Answer:

(1, 3)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

y = 3

y = -3x + 6

Step 2: Solve for x

Step 3: Solve for y

Answer:

$100.02

Step-by-step explanation:

*Sales tax is always applied after the discount/coupon

1. Find how much Hana had spent on pants. Since she had bought 2 pairs of pants, and they are $26.59 each, we would have to multiply 26.59 by 2. So,

26.59 times 2 is 53.18.

Hana spent $53.18 on pants

2. Find how much Hana had spent on a coat. Since she had bought 1 coat, and they are $49.00 each, we would have to multiply 49.00 by 1. So,

49.00 times 1 is 49.

Hanna spent $49 on coats

3. Find how much Hana spent on clothes. Since she spent $53.18 on pants and $49 on coats, we would have to add 53.18 and 49. So,

53.18+49=102.18

Hanna spent $102.18 on clothes

4. Find how much Hana "spent" after using the coupon. Since the problem says the coupon helps Hana save $10, we need to subtract 10 from 102.18(the total amount of money Hana spent on clothes before using the coupon). So,

102.18-10=92.18

Hanna "spent" $92.18 on clothes after using the coupon

5. Find how much was the total purchase. Sales Tax is the amount of money that needs to be added to the price. Since the price is $92.18 and the sales tax is $7.84, we need to add 7.84 to 92.18. So,

7.84+92.18=100.02

The total purchase is $100.02

Answer:

= 105(x+2)/33-x

Step-by-step explanation:

Given the expression

[3(x+2)*10*7]÷70 - 2(x+2)

= 3(x+2)*70÷70 - 2(x+2)

= 210(x+2)/70-2x-4

= 210(x+2)/66-2x

= 210(x+2)/2(33-x)

= 105(x+2)/33-x

Answer:

true

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

Answer:

2 with 4 left over

Step-by-step explanation:

Answer:

ohhhhhhhhhhhhhhhhh 8====> have a good day

Answer:

x=3

Step-by-step explanation:

Note: I'm not sure what "Ac" stand for but I am solving for your equation.

Answer:

i dont know the answer sorry

Step-by-step explanation:

Answer:

Option (2)

Step-by-step explanation:

Equations of the lines have bee given as,

y = [tex]\frac{4}{3}x-5[/tex]

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

Both the equations are in the slope intercept form. (y = mx + b)

They have same slopes but different y-intercepts.

Same slopes of the equations define the lines to be the parallel lines.

Therefore, Option (2) will be the correct option.

Answer:

1/5

Step-by-step explanation:

12/60=1/5

Carina can assemble 10 products within the give time

Answer:

6r-42

hope that help you

Answer:

Unit rate = 2m/h

Step-by-step explanation:

Distance = 1/2 mile x 4 = 2 miles

Time = 1/4 x 4 = 1 hr

Unit rate = 2m/h

I hope im right!!

9514 1404 393

Answer:

  B.  6

Step-by-step explanation:

The longest chord of a circle is the diameter, twice the length of the radius.

  2(3 cm) = 6 cm

Answer:

B. 6

Step-by-step explanation:

A chord of a circle is a line segment where both endpoints land on the circumfrence of the circle. The longest chord would be at the diameter, which is 2r (2 x 3).

Hope this helps :)

General term of GP: a

1

r

n−1

10

th

term of GP =a

1

r

9

=45(0.2)

9

=23040×10

−9

=2.304×10

−5

Answer:

1536

Step-by-step explanation:

The n th term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

Here a₁ = 3 and r = 2 , then

a₁₀ = 3 × [tex]2^{9}[/tex] = 3 × 512 = 1536

Answer:

4x+12=120°

X=12-4=120°

X=8=120

X=120/8

X=15

Answer:

Step-by-step explanation:

4x + 12 =

      -12 = -12

4x = -12

/4      /4

x = -3