What can be concluded about a
apply.
cylinder and a cone
cone with the same height and radius measures? Check all that
D The cone has the greater volume.
The cone and cylinder have the
same base area.
The volume of the cone is
3
the volume of the cylinder.
CD The cylinder can fit inside the cone.
The cone and cylinder have the same diameter.

Answer:

Step-by-step explanation:

PQRS is a parallelogram with QR = 6 cm, QT = 3 cm and ∠PSR = 115°.

a). By the property of a parallelogram,

   "Diagonals of a parallelogram bisect each other"

   QT = TS

   QS = 2(QT)

         = 2(3)

         = 6 cm

b). "Adjacent angles of a parallelogram are supplementary"

     m∠PSR + m∠SRQ = 180°

     115° + m∠SRQ = 180°

     m∠SRQ = 65°

c). Since, SQ = SR = 6 cm

    m∠QSR = m∠SRQ [Opposite angles of the equal sides of an isosceles triangle]

    m∠QSR = 65°

    By applying triangle sum theorem in ΔQSR,

    m∠SQR + m∠QRS + m∠QSR = 180°

    m∠SQR + 65° + 65° = 180°

    m∠SQR = 50°

Answer:

i think its b tell me if im wrong

Step-by-step explanation:

answer:

c. 2 1/6x + 2 1/6y

step-by-step explanation:

3x−1/2y+2 2/3y−5/6x

3x−1/2y+2 2/3y−5/6x

3x−1/2y+2 2/3y−5/6x

−1/2y and + 2 2/3y

3x and - 5/6x

−1/2y + 2 2/3y = 13/6y

3x - 5/6x = 13/6x

= 13/6x + 13/6y

= 2 1/6x + 2 1/6y (simplified)

Step-by-step explanation:

mass(m)= 3kg

height(h)= 2m

gravity(g)= 9.8 m/s^2

P.E.= mgh

=3*2*9.8

=58.8 Joule

Answer:

58.84 Joules

Step-by-step explanation:

3(Mass)*2(Height)*9.8=58.84J

Answer: Line 3

Step-by-step explanation:

The function in vertex form that models the path of the stream is:

\(y = (-5/9)(x - 3)^2 + 5\)

A location where two or more straight lines or curves intersect is referred to as a vertex . A vertex in geometry is sometimes referred to as a corner or an intersection point. The phrase is frequently used to refer to the highest or lowest point on a curve or surface, the place where two lines intersect to make an angle, and the point where two sides of a polygon meet.

The vertex form of the equation of a parabola is given by:

\(y = a(x - h)^2 + k\)

where (h, k) represents the vertex of the parabola.

Using the given vertex and the point (6,0), we can find the value of "a" and plug it into the vertex form to get the equation of the parabolic path of the water stream.

Step 1: Find the value of "a"

Since the vertex is (3,5), we know that:

h = 3

k = 5

Using the point (6,0), we can find the value of "a" as follows:

\(0 = a(6 - 3)^2 + 5\)

\(0 = 9a + 5\)

\(9a = -5\)

\(a = -5/9\)

Step 2: Plug in the values of h, k, and a into the vertex form:

\(y = (-5/9)(x - 3)^2 + 5\)

Therefore, the function in vertex form that models the path of the stream is:

\(y = (-5/9)(x - 3)^2 + 5\)

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Answer:

reflectional

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hope this helps :))

The given system of equations to have a Unique solution, the value of k must be any real number except 1 (k ≠ 1).

The value of k for which the given system of equations has a unique solution, we can use the concept of determinants. The system of equations is as follows:

kx + 2y = 3   -- (1)

3x + 6y = 10  -- (2)

To have a unique solution, the determinant of the coefficients of x and y must not be zero.

The determinant of the coefficient matrix for the system is:

D = | k   2 |

       | 3   6 |

By calculating the determinant, we have:

D = (k * 6) - (2 * 3)

D = 6k - 6

For the system to have a unique solution, the determinant D must not equal zero.

6k - 6 ≠ 0

Simplifying the inequality:

6k ≠ 6

Dividing both sides by 6:

k ≠ 1

Therefore, for the given system of equations to have a unique solution, the value of k must be any real number except 1 (k ≠ 1).

In other words, if k is not equal to 1, the system of equations will have a unique solution. If k is equal to 1, the system will either have infinitely many solutions or no solution.

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Answer:

0.0000048 m

Step-by-step explanation:

All you have to do is multiply 4.8 by 10^-6

Answer:

the answer is 445,784

Step-by-step explanation:

The population y after x years of growth with the growth rate r and the original population C can be found using the exponential growth​ formula, . Substitute the decimal equivalent for the percent growth rate per year for r.

The height of the cylinder is 4 feet.

The volume of a cylinder can be found as follows;

volume of a cylinder = base area × height

Therefore,

base area = πr²

volume of the cylinder = 48π ft³

base area = 12π ft²

Therefore, let's find the height of the cylinder as follows:

48π = 12π × h

divide both sides of the equation by 12π

h = 48π / 12π

h = 4 ft

Therefore,

height of the cylinder  = 4 feet

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¿Cuanto tardara en tocar 10 campanadas?

Answer:

-36

Step-by-step explanation:

If you plug in 3 for a and 6 for b the equation would be 3(12)-6(12) or 36-72.

Answer:

-36

is your answer

#life goes on

The length of the base, AB, can be found to be 12. 49 cm

The base length can be found using the Pythagoras Rule which is:

c ² = a ² + b ²

a = CD which is the height

c = AC

So we can find half od base length when we divide the shape into a right angled triangle :

8 ² = 5 ² + b²

b ² = 64 - 25

b = √ 39

b = 6. 24 cm

Double of this would be:

= 12. 49 cm

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The solution of the given system of equations include the following:

C. a = -3 and b = 6.

In order to solve the given system of equations, we would apply the substitution method. For instance, we have the following system of equations:

2a + 3b = 12      .......equation 1.

a = 1/2(b) - 6          .......equation 2.

By using the substitution method to substitute equation 2 into equation 1, we have the following:

2(b/2 - 6) + 3b = 12

b - 12 + 3b = 12

4b = 12 + 12

4b = 24

b = 24/4 = 6.

For the value of a, we have:

a = 1/2(b) - 6

a = 1/2(6) - 6

a = 3 - 6

a = -3.

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a. the principal (loan amount) is $5000, the rate is 8.25%, and the time is 9 months (expressed in years as 9/12). b. the student will have to pay $306.25 in interest, and the future value of the loan will be $5306.25.

a. The student must pay $306.25 in interest.

To calculate the amount of interest, we can use the formula for simple interest:

Interest = Principal × Rate × Time

In this case, the principal (loan amount) is $5000, the rate is 8.25%, and the time is 9 months (expressed in years as 9/12).

Plugging in these values into the formula, we can calculate the interest amount the student must pay.

b. The future value of the loan is $5306.25.

To find the future value, we add the interest amount to the principal amount.

The future value is calculated using the formula:

Future Value = Principal + Interest

By substituting the values of the principal ($5000) and the interest ($306.25), we can find the future value of the loan.

Therefore, the student will have to pay $306.25 in interest, and the future value of the loan will be $5306.25.

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In order to start a small​ business, a student takes out a simple interest loan for ​$ 5000 for 9 months at a rate of 8.25 ​%.

a. How much interest must the student​ pay?

b. Find the future value of the loan.

Answer:

answer C is correct ..

................

Answer:

1) 48

2)44

Step-by-step explanation:

Answer:  48 44 Are The Correct Answers

Step-by-step explanation:Hope This Helps

Answer:

\( - 7x + 5x - 10 - 3 = 0 \\ - 2x = 13 \\ x = - 6.5\)

Answer:

-6 is the slope of the line

The answer is that Point D is Circumcentre and other lengths DE,DF,DG are perpendicular bisectors of sides of triangle ABC

What is Circumcentre?

The point of intersection of Perpendicular bisectors in a triangle is called called Circumcentre.

Solution;

The circumcentre is equidistant from all sides of an triangle when we draw the perpendicular from this point to sides of triangles, the length of all perpendiculars will be same and this is its another property

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Answer:

B is the answer

That is -53+4k=7

9514 1404 393

Answer:

  a) 191 yards

  b) 40 yards

  c) 1.5 minutes

Step-by-step explanation:

Given:

  ΔPQR is a right triangle with the right angle at Q

  PQ = 40 yards; QR = 70 yards

  M is the midpoint of PR

  jogging rate is 150 yd/min

Find:

  a) the perimeter of ΔPQR to the nearest yard

  b) QM to the nearest yard

  c) the time to jog the path PQMRQP to the nearest tenth minute

Solution:

a) The length of PR can be found from the Pythagorean theorem:

  PR² = PQ² +QR²

  PR² = 40² +70² = 6500

  PR = √6500 ≈ 80.62 . . . . yards

Then the perimeter is ...

  perimeter = PQ +QR +PR = 40 +70 +80.62 ≈ 191 yards

__

b) Segment QM divides triangle PQR into two isosceles triangles: PMQ and RMQ. The lengths MP, MQ, and MR are all equal to half the length of PR.

  QM = PR/2 = (80.62 yd)/2 = 40.31 yd

  QM ≈ 40 yd

__

c) The segments of path PQMRQP can be grouped to simplify the computation of the path length

  PQMRQP = PQ +QM +MR +RQ +QP = PQ +(PQ +QR +(QM +MR))

Since QM +MR = PR, the length in the outer parentheses is the perimeter of the triangle. Then the jogger's total path length is ...

  PQ + perimeter(ΔPQR) = 40 yd +191 yd = 231 yd

The time it takes to jog that path is ...

  time = distance/speed

  time = 231 yd/(150 yd/min) = 1.54 min ≈ 1.5 min

It takes about 1.5 minutes.

it is impossible

Step-by-step explanation:

9514 1404 393

Answer:

  y = 3x^2 +30x +69

Step-by-step explanation:

Transformations work this way:

  g(x) = k·f(x) . . . . vertical stretch by a factor of k

  g(x) = f(x -h) +k . . . . translation (right, up) by (h, k)

__

So, the translation down 2 units will make the function be ...

  f(x) = x^2  ⇒  f1(x) = f(x) -2 = x^2 -2

The vertical stretch by a factor of 3 will make the function be ...

  f1(x) = x^2 -2  ⇒  3·f1(x) = f2(x) = 3(x^2 -2)

The horizontal translation left 5 units will make the function be ...

  f2(x) = 3(x^2 -2)  ⇒  f2(x +5) = f3(x) = 3((x +5)^2 -2)

The transformed function equation can be written ...

  y = 3((x +5)^2 -2) = 3(x^2 +10x +25 -2)

  y = 3x^2 +30x +69

__

The attachment shows the original function and the various transformations. Note that the final function is translated down 6 units from the original. That is because the down translation came before the vertical scaling.

Answer:

8x - 5 = - 12

Step-by-step explanation:

given

8x + 2 = - 5 ( subtract 2 from both sides )

8x = - 7

Then

8x - 5 = - 7 - 5 = - 12

Answer:

B

Step-by-step explanation:

The hl theorem says that if we have two right triangles that have a congruent hypotenuse and a congruent leg, the two triangles are congruent

in this case the exercise says the two leg are congruent, so we have to say that the two hypotenuse are congruent

So

JB congruent to FC

the standard matrix of the linear transformation T: ℝ² → ℝ², which first reflects points through the line x₂ = -x₁ and then reflects points through the origin, is:

[ -1  0 ]

[  0  1 ]

To find the standard matrix of the linear transformation T: ℝ² → ℝ², we can determine how the basis vectors of ℝ² transform under the given transformation.

The standard basis vectors of ℝ² are:

e₁ = (1, 0) (corresponding to the x-axis)

e₂ = (0, 1) (corresponding to the y-axis)

First, let's apply the reflection through the line x₂ = -x₁:

For e₁ = (1, 0), the reflection through the line x₂ = -x₁ maps it to (-1, 0).

For e₂ = (0, 1), the reflection through the line x₂ = -x₁ maps it to (0, 1).

Next, let's apply the reflection through the origin:

For (-1, 0), the reflection through the origin keeps it the same (-1, 0).

For (0, 1), the reflection through the origin keeps it the same (0, 1).

Now, we have the transformed basis vectors:

T(e₁) = (-1, 0)

T(e₂) = (0, 1)

The standard matrix of the linear transformation T is constructed by placing the transformed basis vectors as columns:

[ -1  0 ]

[  0  1 ]

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Answer:

It's B and C

Step-by-step explanation:

Answer:

it is b and c

Step-by-step explanation: