Find the radius of the base of a cylinder with a volume of 1357.17 cm3 if the height of the cylinder is twice the length of the radius.

Answer: The triangles are not similar.

===============================================

Explanation:

Create a 3x3 table. It has 3 rows and 3 columns.

Above the top row, we'll have the side lengths of triangle VUW

Along the left side of the table, we'll have the lengths of triangle LNM

Refer to the diagram below to see what I mean. I used a spreadsheet program to create the table.

Once you have those table headers set up, you'll divide each possible pair of side lengths between the two triangles. For example, VU/LN = 35/20 = 1.75 which is represented as the green cell in the upper left corner (row1,column1). The other 8 green table cells are filled out the same way. This table is a handy way to keep track of all the terms since it's easy to lose track. Again, refer to the diagram below.

After the table is filled out, we need to ask ourselves: "Does a certain value show up 3 times in the green cells?". If so, then we could have similar triangles assuming this value shows up in every row and every column in some fashion.

Unfortunately, we don't have a value show up 3 times in the green cells. The values 1.4 and 1.75 come close by showing up twice, but not three times.

Since we don't have a value show up 3 times, this means that the sides are not proportional to one another. Therefore, the triangles are not similar.

Answer:

12%

Step-by-step explanation:

We can get SI of 3 years = 12005 - 9800 = 2205

SI for 5 years = (2205/3)*5 = 3675 [so that we can get principal amount after deducting SI]

Principal = 12005 - 3675 = 6125

So Rate = (100*3675)/(6125*5) = 12%

Answer:

ur answer is 4 hope it helps

3. Graph the given quadratic function in the factored form as shown below.

4. The quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.

The given quadratic function in factored form is y = (x - 3)(x + 1).

Graph of the given quadratic function in the factored form as shown below.

Zeros: The zeros of the function occur when y = 0.

So the zeros of the function are x = 3 and x = -1.

Axis of Symmetry:  

The axis of symmetry is x = (3 + (-1)) / 2 = 1.

Vertex:

The vertex is (1, -4).

Y-intercept:

The y-intercept is (0, -3).

Domain: The domain of a quadratic function is all real numbers, so the domain is (-∞, ∞).

Range: Since the coefficient of the x² term is positive, the parabola opens upward. Therefore, the range is y ≥ -4.

Write the quadratic equation of the following in vertex form: vertex (-1,3) and passes through (1, -5)

Using the given information, the vertex form equation can be written as:

[tex]y = a(x - (-1))^2 + 3[/tex]

To find the value of 'a,' we can substitute the coordinates (1, -5) into the equation:

-5 = a(1 - (-1))² + 3

-5 = a(2)² + 3

-5 = 4a + 3

-8 = 4a

a = -2

Plugging the value of 'a' back into the equation, we get the quadratic equation in vertex form:

y = -2(x + 1)² + 3

Therefore, the quadratic equation in vertex form, given the vertex (-1,3) and passes through (1, -5), is y = -2(x + 1)² + 3.

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The ladder can go as far as 3.1m

The given set up is. a triangle with the following parameters

Angle of elevation = 15 degrees

Hypotenuse = 12m

Required

Height of the building

Using the expression

sin theta = opp/hyp

sin 15 = h/12

h = 12sin15

h = 3.1m

Hence the ladder can go as far as 3.1m

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Answer:

9/20

Step-by-step explanation:

12 * 15

---------

25 x 16

180/400

To reduce, find the greatest common factor of 180 and 400.

180 / 20

-----------

400 / 20

Your answer would simplify to 9/20.

Answer:

True, True, False.

Step-by-step explanation:

A) Rise/Run is 8/1

B) 8 dollars are earned every hour

C) Correct equation is y=8x

Answer:

Harry has a score of 30

Step-by-step explanation:

Let us represent their scores as:

Nathan = x

Harry = y

Jack = z

At the end of a football season a coach is adding up everyone's scores

Nathan has scored 11 more than harry

x = y + 11

Harry has scored 10 more then jack.

y = z + 10

z = y - 10

If the total of their scores is 91

x + y+ z = 91

y + 11 + y + y - 10 = 91

3y + 1 = 91

3y = 91 - 1

3y = 90

y = 90/3

y = 30

Since Harry's score is represented as y, Harry has a score of 30

B)

here,

A to B = 62

C To B = 11

A to C = ?

now,

so, 62 - 11 = 51

therefore a to C Is 51 cm

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A)

Here,

A to B = 13

A to C = 26

total = ?

now,

A to B + A to C

13 + 26 = 39

Therefore,

total number is 39

Answer:

A)20°

Step-by-step explanation:

As we know a triangle contains 180°

So according to the question

The equation is

25°+135°+x=180°

160°+x=180°

x=180°-160°

x=20°

Answer:

<LNK = 20°

Step-by-step explanation:

[tex]angles \: of \: triangle \: add \: upto \: {180}^{0} \\ in \: that \: scalene \: triangle \\ {25}^{0} + {135}^{0} + < lnk = {180}^{0} \\ < lnk = {180}^{0} - ( {135}^{0} + {25}^{0} ) \\ < lnk = {20}^{0} [/tex]

Answer:

x=23.5

Step-by-step explanation:

[tex]cos59.3=\frac{12}{x}\\x(cos59.3)=12\\x=\frac{12}{cos59.3}\\x=23.5[/tex]

Answer:

The correct answer is 10n ≥ 470.

Step-by-step explanation:

Since, the school club wants to collect at least 500 canned goods, then we know that they don't want to collect any less: they must collet 500 or more canned goods.

They already collected 30 canned goods, therefore we can subtract this quantity from out goal.

500 - 30 = 470

Since there are 10 club members, the number of members multiplied by "n" the minimum amount of canned goods that they can collect, will equal the total amount of canned goods that they need.

Hope this helps! :D

Answer:

B. 36

Step-by-step explanation:

Answer:

2/5

Step-by-step explanation:

2/10+2/10=4/10

4/10 divided by 2/2= 2/5

Hope this helps!

Answer;

2/10 + 2/10 is 4/10 and then simplified it would be 2/5 because 2 goes into both 4 and 10.

2/10 + 2/10 = 4/10

4/10 = 2/5

Hope this Helps!

Answer:

Blank #1 : 2S + 4B ≥ 36

Blank #2: 1

Step-by-step explanation:

Blank#1: that is the equation

Blank#2: 8 x 4 =32 one bracelet is 4 32 + 4 =36, the amount needed

Answer:

Non of the above

Step-by-step explanation:

[tex]3 {x}^{2} + y \\ = x(3x + \frac{y}{x} ) \\ or \\ = y( \frac{ 3{x}^{2} }{y} + 1)[/tex]

Answer:

D. Prime

I just took the test

Step-by-step explanation:

Answer:

probably 25

Step-by-step explanation:

Answer:

64

Step-by-step explanation:

v = s^3

v = (4)^3 [4x4x4]

v = 64

Answer:

Step-by-step explanation:

A right angle is an angle whose measure is equal to [tex]90^{o}[/tex]. As the measure of two right angles equals angle on a straight line, while four right angles equal the sum of angles at a point.

Given: <ABC, <DEF are right angles.

The missing reasons in the steps of the proof are:

A: m<ABC = [tex]90^{o}[/tex] and m<DEF = [tex]90^{o}[/tex] (Meaning of a right angle)

B: m<ABC = m<DEF (By right angle property)

C: <ABC ≅ <DEF (Congruence property of angles)

Answer:

A: definition of right angle

B: substitution property

C: definition of congruent angles

Step-by-step explanation:

Answer:

quadrant 1 - (2,4)

quadrant 2 - (-3,4)

quadrant 3 - (-1, -5)

quadrant 4 - (6, -1)

Step-by-step explanation:

quadrant one consists of both x and y being positive.

quadrant two being the x is negative but the y is negative.

quadrant 3 has its x and y both negative.

finally, quadrant 4 has its x positive, but y is negative.

Answer:

Solution in photo

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Answer: the answer is 50

Step-by-step explanation:

Answer:

CDF is scaled down by a factor of 1/2 of ABC

Step-by-step explanation:

Answer:

AAA (angle angle angle) property.

Step-by-step explanation:

Maroon angle x in the first triangle is equal to the the Maroon angle x in the second triangle and the Orange angle y in the first triangle is equal to the Orange angle y in the second triangle with respect to the property of corresponding angles, and the third angle is 90° which is common between the two triangles hence AAA property is applied because all three angles are similar.

Answer:

I do not agree with the student because there is no real solution. Solving the equation only gives possible solutions, but you must check them in the original equation. Checking the solution in the original equation shows that 4 is an extraneous solution.

Step-by-step explanation:

idk if that's the same question i had, but that was the answer for mine. hehehe good luck.

is that on edge?

Answer:

[tex]\frac{3ab}{2c}[/tex]

Step-by-step explanation:

An algebraic expression is an expression consists of constants, variables, and the algebraic operations: addition, subtraction, multiplication and division.

Given: algebraic expressions are [tex]3ab,2c[/tex].

To divide: [tex]3ab[/tex] by [tex]2c[/tex]

Solution:

[tex]\frac{3ab}{2c}[/tex]

There are no common terms in numerator and the denominator.

So, answer is [tex]\frac{3ab}{2c}[/tex]

Answer:

Step-by-step explanation:

because we have a kite,

AB=AD

4x=x+15

4x-x=15

3x=15

x=5

Answer: $14.40

Step-by-step explanation: