The cylinder shown has a volume of 90 cubic units. The cone and the cylinder have the same height and the same base.



What is the volume of the cone?


I NEED THIS FAST ILL MARK YOU AS BRAINILIST

Answer:

Step-by-step explanation:

Because the trapezoid is isosceles, the two diagonals are congruent. This can be shown by ASA.

ACD = BDC          Properties of parallel lines.

DC = DC               A line is equal to itself

DBA = CAB           Property of parallel lines.

AC = DB                Parts of Congruent triangles are congruent

3x + 15 = 7x - 9     Add 9 to both sides

3x + 15 + 9 = 7x

3x + 24 = 7x          Subtract 3x from both sides.

24 = 7x - 3x

24 = 4x                  Divide by 4

24/4 = 4x/4

x = 6

The value of x given that figure ADCB is an isosceles trapezoid is 6.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

AC=3x+15 BD=7x-9

Now,

In an isosceles trapezoid, the diagonals are congruent. Hence, we can set AC equal to BD and solve for x: 3x + 15 = 7x - 9. Subtracting 3x from both sides, we get: 15 = 4x - 9. Adding 9 to both sides, we get: 24 = 4x. Dividing both sides by 4, we get: x = 6.

Therefore, by algebra the answer will be 6.

More about the Algebra link is given below.

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Answer:

3 and 7/10

Step-by-step explanation:

[tex]x=-10, y=5\Longrightarrow\boxed{-10, 5}[/tex]

Answer:

Step-by-step explanation:

For this case we have the following equation of the second degree:

[tex]7x ^ 2 = 9 + x[/tex]

Rewriting:

[tex]7x ^ 2-x-9 = 0[/tex]

The solutions will be given by the following equation:

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2a}[/tex]

We have to:

[tex]a = 7\\b = -1\\c = -9[/tex]

Substituting the values:

[tex]x = \frac {- (- 1) \pm \sqrt {(- 1) ^ 2-4 (7) (- 9)}} {2 (7)}\\x = \frac {1 \pm \sqrt {(- 1) ^ 2 + 4 (7) (9)}} {2 (7)}[/tex]

Answer:

Option D

Answer:

C!

Step-by-step explanation:

To find the the mean add all the numbers and divde by the number of numbers. The sum of all the numbers is 56. There are 7 numbers.

56/7 is 8.

B

Because I like the letter b so ha

The answer is A. $18,600 because $620,000 × 3% = $18,600

Answer:

A.  2(x2 - 1) = 2(y2 - y1)

Step-by-step explanation:

Perimeter

P = 2W + 2L

W = √(x2 - x1)^2 = x2 - 1

L = √(y2 - y1)^2 = y2 - y1

So

P = 2(x2 - 1) = 2(y2 - y1)

Answer is A.

2(x2 - 1) = 2(y2 - y1)

Answer:

24 units

Step-by-step explanation:

To obtain the dimensions of this rectangle, count the number of blocks in each direction x and y.  I count 7 blocks in the x-direction and 5 in the y-direction.  Thus, the perimeter, P, is P = 2W + 2L, which here equals:

P = 2(5) + 2(7) = 24 units

The answer is B . Please mark as brainliest :)

Answer:

The correct option is 2.

Step-by-step explanation:

It is given that Alec calculated the slope of line AC between points A and B. Avis calculated the slope of line AC between points B and C.

If a line passing through two points then the slope of the line is

[tex]slope=\frac{y_2-y_1}{x_2-x_1}=\frac{Rise}{Run}[/tex]

The coordinates of A and B are A(0,0) and B(6,2). The slope of line AB is

[tex]m_1=\frac{2-0}{6-0}=\frac{1}{3}[/tex]

The coordinates of B and C are B(6,2) and C(18,6). The slope of line AB is

[tex]m_2=\frac{6-2}{18-6}=\frac{4}{12}=\frac{1}{3}[/tex]

[tex]m_1=m_2[/tex]

Both Alec and Avis calculated the slope as 1/3. Therefore the correct option is 2.

It’s C) , I believe..

Answer:

option C

Step-by-step explanation:

When we use the distance formula for two points ( x, y ) and ( x', y¹ )

Then formula is (distance)² = (x - x¹)² + (y - y¹)²

This is quite similar to the formula used in a right angle triangle to determine hypotenuse

(Hypotenuse)² = (base)²+(height)²

Therefore, option C is the answer.

Answer:

Triangle (scalene)

Step-by-step explanation:

Polygon is a closed figure.

The names of polygons depends on the number of sides. Some common polygons are:

3 sides - triangle

4 sides - quadrilateral

5 sides - pentagon

6 sides - hexagon

Triangle and Quadrilaterals have their own types as well.

The points G, H , and I are shown in the attached image. As you can see, it creates a 3-sided figure, which is a triangle.

Note: Since all 3 sides have different length, we call it a "scalene triangle"

Answer:

A

Step-by-step explanation:

The expression 5 + 2x typically means 5 plus 2 times x, or the sum of 5 and the product of 2 and x. Hence correct options are B and E.

The expression 5 + 2x can have multiple interpretations depending on the context, but most commonly, it represents the following:

The expression represents 5 plus 2 times x.

The expression represents 5 plus x plus x, which is another way of stating the distributive property of multiplication over addition.

The expression represents the sum of 5 and 2x, which can be thought of as adding the number 5 to the product of 2 and x.

It does not represent the product of 5 and 2x nor does it indicate additions of 5, 2, and x independently (without multiplication).

ANSWER

9 nickels 8 dimes

EXPLANATION

The simultaneous equations are:

1st equation: n+d=17

2nd equation: 0.05n+0.10d=1.25

Multiply through the second equation by 100.

This the equation:

3rd equation: 5n+10d=125

Make n the subject in equation (1).

n=17-d

Substitute this into equation (3)

5(17-d)+10d=125

85-5d+10d=125

-5d+10d=125-85

5d=40

Divide both sides by 5.

d=8

Put d=8 into n=17-d

This gives:

n=17-8

n=9

Answer:

8 dimes and 9 nickels

Step-by-step explanation:

In this exercise, we got a system of linear equations. We can solve this system by using several methods: substitution, reduction and equalization, and other advanced method call "Cramer's rule".

So, for this exercise we will use the substitution method.

1. Clear n for the first equation.

n + d = 17

n = 17 - d

2. Replace n in the second equation.

0.05n + 0.10d = 1.25

0.05(17 - d) + 0.10d = 1.25

0.85 - 0.05d + 0.10d = 1.25

0.85 + 0.05d = 1.25

3. We solve the obtained equation for d.

0.05d = 1.25 - 0.85

d = (1.25 - 0.85)/0.05

d = 0.40/0.05 = 8

dimes (d) = 8

4. we obtain the value of n using any of the two equations and with d = 8

Using the first equation

n + d = 17

n = 17 - d with d = 8

n = 17 - 8

n = 9

nickels (n) = 9

.

Answer:

y = f(x) = a + bx

Step-by-step explanation:

independent variable = x

dependent variable =y

Answer:A linear function is a straight line which is just a linear function with the equation y=mx+b

Step-by-step explanation:

Answer:

it's A

Step-by-step explanation:

2x-y=6+2x-2y=4 start moving the numbers

Answer:

( 4 , 2 )

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

2 x - y = 6

2 x - 2 y = 4

x = 4 and y = 2

(2 × 4 )- (2 × 2) = 8 - 4 = 4

( 2 × 4 ) - 2 = 8 - 2 = 6

Answer:

x = e³

Step-by-step explanation:

Using the property of logarithms

• [tex]log_{b}[/tex] x = n ⇔ x = [tex]b^{n}[/tex]

Given

19 + 2lnx = 25 ( subtract 19 from both sides )

2lnx = 6 ( divide both sides by 2 )

lnx = 3 [ note lnx = [tex]log_{e}[/tex] x ]

x = e³

Answer:

The correct answer is D 20.09

Step-by-step explanation:

Answer:

D) 72

Step-by-step explanation:

The way to find the area of this figure easily is to break it down in regular shapes we know.  You can then see it as two horizontal rectangles on top and bottom, measuring 6 x 4 each, then a vertical rectangle in the middle measuring 4 x 6.

So, overall, we have 3 similar rectangles measuring 4x6 or 6x4... which are equivalent.

The area of each of those 3 rectangles is 24 units (6x4).

Since we have 3 of those: 3 * 24 = 72.

Answer:

[tex]h=15.73\ in[/tex]

Step-by-step explanation:

we know that

The volume of a cylinder is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]V=1,000\ in^{3}[/tex]

[tex]r=9/2=4.5\ in[/tex] ----> the radius is half the diameter

substitute and solve for h

[tex]1,000=(3.14)(4.5)^{2} h[/tex]

[tex]h=1,000/[(3.14)(4.5)^{2}][/tex]

[tex]h=15.73\ in[/tex]

Answer:

r = 11 in V =968 pi in3

Step-by-step explanation:

got it right on edge

Answer:

146cm^2

Step-by-step explanation:

Area of trapezoid:

(4+14)/2*10=90

Area of triangle:

(14*8)/2=56

90+56=146

For this case we have a figure composed of a trapezoid and a triangle.

By definition we have that the area of a trapezoid is given by:

[tex]A = \frac {(B + b) * h} {2}[/tex]

Where:

B: It's the biggest side

b: It is the minor side

h: It's the height.

So:

[tex]A = \frac {(14 + 4) * 10} {2}\\A = 90 \ cm ^ 2[/tex]

For its part, the area of a triangle is:

[tex]A = \frac {b * h} {2}[/tex]

Where:

b: It's the base

h: It's the height

[tex]A = \frac {14 * (18-10)} {2}\\A = \frac {14 * 8} {2}\\A = \frac {14 * 8} {2}\\A = 56 \ cm ^ 2[/tex]

Thus, the total area is the sum of the two areas:

[tex]146 \ cm ^ 2[/tex]

ANswer:

[tex]146 \ cm ^ 2[/tex]

Answer:

B - +4.

Step-by-step explanation:

The person does not get 4.5 yards.

1/4, -1/4, and -4 do not work as well because negative numbers express loss, and not gain, and the person does not get any fractions.

Answer:

I believe the answer is B. +4

Step-by-step explanation:

ANSWER

[tex]y (6)= \frac{20}{ {e}^{3} } [/tex]

EXPLANATION

The given equation is:

[tex] \frac{dy}{dt} = - 10 {e}^{ - \frac{t}{2} } [/tex]

We integrate with respect to t to get,

[tex]y = 20 {e}^{ - \frac{t}{2} } + k[/tex]

The initial condition is y(0)=20

We apply the initial condition to get,

[tex]20= 20 {e}^{ - \frac{0}{2} } + k[/tex]

[tex]k = 0[/tex]

This implies that;

[tex]y = 20 {e}^{ - \frac{t}{2} } [/tex]

[tex]y (6)= 20 {e}^{ - \frac{6}{2} } [/tex]

[tex]y (6)= 20 {e}^{-3} [/tex]

Or

[tex]y (6)= \frac{20}{ {e}^{3} } [/tex]

The required solution is [tex]y(6) = 20e^{-3}[/tex]

Given the following differential equation [tex]dy/dt=-10e^{-t/2}[/tex]

To get the value of y, we will integrate the equation to have:

[tex]y=-20e^{-t/2} + k[/tex]

Given that y(0) = 20, hence;

[tex]20=-20e^{-0/2} + k\\ 20 = 20 + k\\ k = 0[/tex]

Hence the solution to the given integral is [tex]y=-20e^{-t/2} [/tex]

Next is to get y(6)

[tex]y(6)=-20e^{-6/2} \\ y(6) =20e^{-3}}[/tex]

Hence the required solution is [tex]y(6) = 20e^{-3}[/tex]

Learn more on differentiation here: https://brainly.com/question/25081524

Answer:

Step-by-step explanation:

The slope-intercept form y = mx + b

m - slope

b - y-intercept → (0, b)

We have the equation

y - 2x = -3              add 2x to both sides

y = 2x - 3

slope m = 2

y-intercept b = -3

We need two points to draw a graph of this linear function.

One is y-intercept (0, -3). The second one is calculated by choosing any value of x and put it to the equation:

for x = 2 → y = 2(2) - 3 = 4 - 3 = 1 → (2, 1).

Answer:

Minimum balance account requires an amount of money to left in it all times in order to avoid fees.

Step-by-step explanation:

We have "many types of account" available in the banking sectors. As per the convenience of the customer, they opt from them. The minimum balance account is the type of account in which the customer has to maintain a standard amount prescribed by the bank in his account, failing to maintain it will lead to the gathering of fine or fee.

Answer:

Minimum Balance account.

Step-by-step explanation:

A minimum balance account is an account type that requires a minimum balance as set by the bank, at all times, in order to waive maintenance fees.

Failing this, certain amount is charged when money is deposited in that account. It can range from few dollars to 500 dollars in some banks.

Answer:

The area of two pieces is [tex]51.28\ in^{2}[/tex]

Step-by-step explanation:

step 1

Find the area of the circle (large pizza)

The area is equal to

[tex]A=\pi r^{2}[/tex]

we have

[tex]r=14/2=7\ in[/tex] ----> the radius is half the diameter

assume

[tex]\pi =3.14[/tex]

substitute

[tex]A=(3.14)(7)^{2}[/tex]

[tex]A=153.86\ in^{2}[/tex]

step 2

Divide the area into 6 pieces

[tex]153.86/6=25.64\ in^{2}[/tex]

step 3

Find the area of two pieces

[tex]25.64*2=51.28\ in^{2}[/tex]

Answer:

[tex]\frac{1}{5}\frac{in}{miles}[/tex]

Step-by-step explanation:

we know that

The original scale of the map is

[tex]\frac{2}{30}\frac{in}{miles}=\frac{1}{15}\frac{in}{miles}[/tex]

If the map is enlarged to 3 times its size

then

the new scale will be

[tex]\frac{2*3}{30}\frac{in}{miles}=\frac{6}{30}=\frac{1}{5}\frac{in}{miles}[/tex]

The scale of the original map is 2 inches to 30 miles. After enlarging the map 3 times, the new scale will be 1 inch to 15 miles, as 6 inches on the enlarged map would represent 90 miles.

The question is asking to determine the scale of a map after it has been enlarged. The original map scale is such that 2 inches represent 30 miles. If the map is enlarged 3 times its original size, each inch on the original map would now be represented by 3 inches on the enlarged map. Therefore, the 2 inches that originally represented 30 miles would now be stretched out to 6 inches on the enlarged map.

We can determine the new scale setting up a proportion:

We know the distances must remain consistent, so we set up the proportion:

By cross-multiplication, we find that:

The scale of the enlarged map will therefore be 1 inch representing 15 miles, as we can conclude from 6 inches representing 90 miles.

Answer:

Step-by-step explanation:

A is correct answer

Answer:

p(A) = 0.55

p(b) = 0.45

Step-by-step explanation:

Experimental probability = [tex]\frac{Number of favorable outcomes}{Total number of outcomes}[/tex]

total students = 55 + 45   ⇒ 100

let A be the probability that students brought lunch from house = [tex]\frac{55}{100}[/tex] ⇒ 0.55

let B be the probability that students order school lunch = [tex]\frac{45}{100}[/tex] ⇒ 0.45

Answer:

x=6

Step-by-step explanation:

x-2 = sqrt(28-2x)

Square each side

(x-2)^2 = (sqrt(28-2x))^2

(x-2)^2  = 28-2x

FOIL

x^2 -4x+4 = 28-2x

Subtract 28 from each side

x^2 -4x+4-28 = 28-2x-28

x^2 -4x-24=-2x

Add 2x to each side

x^2 -2x-24=-2x

x^2 -2x+2x-24=-2x+2x

x^2-2x-24 =0

Factor

(x-6)(x+4)=0

Using the zero product property

x=6  x=-4

Check for extraneous solutions

x=6

x-2 = sqrt(28-2x)

6-2 =sqrt(28-12)

4 = sqrt(16)

4=4

Solution

x=-4

x-2 = sqrt(28-2x)

-4-2 =sqrt(28+8)

-6 = sqrt(36)

-6=6

Not a solution

Answer:

110

Step-by-step explanation:

Answer:

Jesus

Step-by-step explanation:

Why all this dish soap. Sounds like that vine.

Answer:

0.5

Step-by-step explanation:

Given that height of 7 year old children are normally distributed with mean =49 inches and std deviation = 2inches

Brenda is 50 inches tall

This means her X score is 50

To convert this X score to Z score we use the formula given below

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Here we know all the values of x, mu and sigma

Just substitute

Z score

=[tex]\frac{50-49}{2} =\frac{1}{2} \\=0.5[/tex]

Thus Z score of Brenda is 0.5

Answer:

0.5

Step-by-step explanation:

B.

5 squared + 12 squared = x squared

5 squared = 25

12 squared = 144

144+25 = 169

Square root of 169 = 13

Hope this helps you!! ❤️❤️

Answer: B.

Step-by-step explanation:

In B, opp=5 adj = 12 hyp=x

Using pythagoras theorem

hyp² = opp² + adj²

x² = 5² +12²

x² = 25 + 144

x² = 169

x=√(69)

x=13

B is the only triangle with a hypotenuse whose length is interger.

Looking at A,

x² = 4² +2²

x= √(20) =4.47

x is not an interger

lets take c and see,

x² = 2² +5²

x = √(29) = 5.385, its also not an interger.

Now, we will take the last one and check

x² = 8² +14²

x=√260 = 16.12, it is not an interger

There B is the only triangle with an integer hypotenuse.