The radii of two cylinders are in the ratio 1 : 4 and their heights are in the ratio 3 : 1. The ratio of their lateral surface area is ________. (a) 3 ∶ 4 (b) 4 : 3 (c) 9 : 16 (d) 16 : 9

Answer:

AAS

Step-by-step explanation:

Δwzy=Δwzv

to prove the equality:

1- wz is a common side

angle:  wzv=wzy=90 degrees ( height of triangle)

angle v= angle y

Since WZ bisects W, it's good  to say that vwz and zwy

prove one side is equal and two angles

so ASA or AAS is the answer

Answer:

The measure of angle x is 122.5 degrees.

The measure of angle y is 57.5 degrees

Step-by-step explanation:

180=y+x

y=x-65

180= (x-65)+x

180=2x-65

245=2x

x=122.5

y=122.5-65= 57.5

Answer:

The correct answer is A.) The measure of angle x is 122.5 degrees. The measure of angle y is 57.5 degrees.

Step-by-step explanation:

I just did the test on edge 2021 and got it right!

Answer:

Correct option: first one

Step-by-step explanation:

The equation f(x) = 5x + 1 is a function, because each value of x gives only one  value of y.

Now let's find the inverse by switching f(x) by x and x by f'(x), then isolating f'(x):

[tex]x = 5f'(x) + 1[/tex]

[tex]5f'(x) = x - 1[/tex]

[tex]f'(x) = \frac{x - 1}{5}[/tex]

The inverse f'(x) is also a function, because each value of x gives only one value of x.

So we have that both the equation and its inverse are function, therefore the correct answer is the first option.

Answer:

VX = 8.8 in

Step-by-step explanation:

By applying Sine rule in the right triangle WXV,

Sin(∠W) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

             = [tex]\frac{\text{VX}}{\text{WX}}[/tex]

Sin(34)° = [tex]\frac{VX}{15}[/tex]

VX = 15.Sin(34)°

     = 8.8379

     ≈ 8.8 in.

Therefore, measure of side VX is 8.8 in.

Answer:

20

Step-by-step explanation:

2 get well cards

4 anniversary cards

6 greeting cards

8 birthday cards

Answer:

54

Step-by-step explanation:

im not that good so u should cheek it first

Answer: 9a + 249

Step-by-step explanation: 9a + 249 and a would be one cause these numbers are independent

Answer:

y=3x+5

Step-by-step explanation:

Answer:

x = pi/8   + pi/2  *n                    x = 3pi/8   +   pi /2 *n

Step-by-step explanation:

cos ^2 ( 2x) - sin ^2 (2x) = 0

Substitute u = 2x

cos ^2 ( u) - sin ^2 (u) = 0

We know cos ^2(x)-sin ^2(x)=cos (2x)

cos ( 2u) =0

Replacing u with 2x

cos  (2 *2x) =0

cos (4x) =0

cos u =0 when u = pi/2 + 2 pi n and 3pi/2 + 2 pi n  where n is an integer

4x = pi/2+2 pi n                    4x = 3pi/2+2pi n

x = pi/8   + pi/2  *n                    x = 3pi/8   +   pi /2 *n

Answer:

1) Is 180

2) Is 5

Step-by-step explanation:

Answer:

interquartile range=20.55

Step-by-step explanation:

5.6, 11.1, 19.2, 24.5, 33.3

median is  19.2

Q1=(5.6+11.1)/2=8.35

Q3=(24.5+33.3)/2=28.9

interquartile range= Q3-Q1=28.9-8.35=20.55

Answer:

The car will travel approximately 13200  inches

Step-by-step explanation:

Notice that in one revolution, the car travels exactly the length of the tire's circumference, that is: [tex]2\,\pi\,R[/tex]

Then, in 200 revolutions the car will travel 200 times that amount:

[tex]200\,(2\,\pi\,R)=400\ \pi\,R[/tex]

So for the given dimension of the tire, and using the approximation [tex](\pi\approx22/7)[/tex], this distance would be:

[tex]400\ \pi\,R=400\,\,\frac{22}{7} \,\,10.5\,\,in=13200\,\,in[/tex]

Answer:

The top of the cake is 25.12 in²

Step-by-step explanation:

Hello!

So you are dealing with a circumference question! And because the diameter is 2x the radius, we know the radius is actually 4.

Lets write out the circumference formula and use that to help us.

c = 2[tex]\\\pi[/tex] x r

pi is 3.14....

But lets use 3.14

c = 2(3.14) x 4

Plus this into a calculator and we get 25.12 as the answer.

Answer:

≈50.265 [tex]in^{2}[/tex]

Step-by-step explanation:

You first have to find the radius since the formula for the area of a circle is  A=[tex]\pi r^{2}[/tex].

Since the radius is half the diameter, just divide 8 by 2 which will give you 4.

r=4

Now plug in the radius into the formula and simplify.

A=[tex]\pi 4^{2}[/tex]

[tex]A=\pi 16[/tex]

≈50.265 [tex]in^{2}[/tex]

Answer:

3

Step-by-step explanation:

You remove the brackets and round down to the nearest whole number which is three..

Edge 2020

~theLocoCoco

Answer:

a

Step-by-step explanation:

edge 2021

Answer:

Step-by-step explanation:

Given the expressions

[tex](1 + 3i)(6i) ,(1 + 3i)(2 -3i), (1 + 3i)(1 - 3i), (1 + 3i)(3i)[/tex]

From analysis one of the following pairs has real-number products

[tex](1 + 3i)(2 -3i), (1 + 3i)(1 - 3i)[/tex]

Performing operations on

[tex](1 + 3i)(2 -3i)= 2-3i+6-6i^2 \\= 2-3i+6-6(-1) \\=2-3i+6+6 \\=14-3i[/tex]

Performing operations on

[tex](1 + 3i)(1 - 3i) \\= 1-3i+3i-9(i)^2 \\= 1+0-9(-1) \\= 1+9=10[/tex]

Answer:

C

Step-by-step explanation:

trust

Answer:

It would be the graph that has point (0,12) and is decreasing to the right.

Answer:

2x2x7

Step-by-step explanation:

Answer:

Step-by-step explanation:

(-13-12)/(-2-3)= -25/-5= 5

y - 12 = 5(x - 3)

y - 12 = 5x - 15

y = 5x - 3

Answer:

3

Step-by-step explanation:

The rate of change between two points a and b(a<b) for a fynction f is given by the formula:

so our rate of change is

8% lower means the gauge is showing 92% of the original pressure

( 100% - 8% = 92%)

Divide the pressure the gauge is showing by 92%

33.58 / 0.92 = 36.5

The actual pressure is 36.5

Step-by-step explanation:

Total=44,064

Host countries= 2

2nd most popular country= x

Popular country=x+8382

x+x+8,382=44,064

2x=44,064-8,382=35,682

2x=35,682

x=17,842

2nd most popular=17,842

Popular=17,842+8,382=26,224

Answer=26,224

There were students who studied abroad in the most popular host country by forming the equation is 26,224

How equations are formed?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left-hand side = right-hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. A statement is not an equation if it has no "equal to" sign. It will be regarded as a phrase.

Here, It is given:

Total number of students = 44,064

Number of Host countries= 2

Let the 2nd most popular country= x

So, the Popular country becomes x+8382

Now, According to the question:

⇒x+x+8,382=44,064

⇒2x=44,064-8,382=35,682

⇒2x=35,682

⇒x=17,842

Hence, The number of students in 2nd most popular country=17,842

And, The number of students in a popular country

= 17,842+8,382=26,224

To learn more about forming equations, visit:

https://brainly.in/question/29041303

#SPJ2

Answer:

The y-axis.

Step-by-step explanation:

This is because it is mirroring across the y-axis, and the x-coordinate's sign is getting changed from positive to negative.

Answer:

Y-axis

Step-by-step explanation:

B is a reflection of point A across theY-axis. The vertical line is Y and the horizontal line is X.

Answer

Point b is (0,0) Point a is (3,-2) Im not doing the second part

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

In an isosceles triangle, the altitude is the median so the altitude splits the base into two segments with lengths of 5. We notice that x is part of a right triangle with legs of 5 and 12, therefore, using the 5 - 12 - 13 Pythagorean Triple, x = 13.

Answer:

(B) 13

Step-by-step explanation:

This isosceles triangle is broken up into two parts, both are right triangles.

To find the length of a missing side in a right triangle, we use the Pythagorean Theorem - [tex]a^2+b^2=c^2[/tex]. where one of the legs is a, the other leg is b, and the hypotenuse is c.

We know that one of the legs is 12, and since the base of the triangle is 10, the leg of one of the right triangles is 5.

Let's solve.

[tex]5^2+12^2=c^2\\25+144=c^2\\169=c^2\\\\\sqrt{169} =c\\13=c[/tex]

So, c is 13, therefore the hypotenuse is 13, therefore x is 13.

Hope this helped!

Answer:

x=6

Step-by-step explanation:

Take -2 and add it to 10 and get 12. So then the equation is 2x=12. Divide 2 by 12 and get x=6.

Answer:

0.03333 or 1/30

Step-by-step explanation:

Let A =" I go sailing" and B = "it does not rain"

P(A) = 0.03

P(B) =0.90

Since I never go sailing when it rains, P(A and B) =0.03.

Therefore, the (conditional) probability that I go sailing, given that it does not rain is:

[tex]P(A|B)=\frac{P(A\ and\ B)}{P(B)} \\P(A|B)=\frac{0.03}{0.90}=0.033333[/tex]

The probability is 0.03333 or 1/30.

Answer:

Below

Step-by-step explanation:

The canister has a cylindric form

The volume of a cylinder is given by the following formula :

V= r^2 * Pi *h

H is the heigth and r os the radius(half of the diameter)

Let Pi = 3.14

●●●●●●●●●●●●●●●●●●●●●●●●

V= 3.14*4.5^2 * 12

V= 763.02

V = 763 cm^3(after rounding to the nearest unit)

●●●●●●●●●●●●●●●●●●●●●●●●

The surface area of a cylinder is given by the followong formula:

Sa = 3.14*r^2*2 + Pi*d*h

r is the radius, d the diameter and h the heigth

Let Pi= 3.14

Sa= 3.14*4.5^2*2 + 3.14*9*12

Sa= 466.29 cm^2

Sa= 466 cm^2 ( after rounding to the nearest unit

●●●●●●●●●●●●●●●●●●●●●●●●

The dimensions of the second canister are the double of the first one

V= r^2*Pi*h

V= 9^2 *3.14*24

V= 6104.16 cm^3

V= 6104 cm^3 (after rounding to the neatest unit)

Sa= 2*3.14*r^2+ 3.14*d*h

Sa= 2*3.14*9^2 + 3.14*24*18

Sa= 1865.16 cm^2

Sa= 1865 cm^2 (after roundong to the nearest unit)

●●●●●●●●●●●●●●●●●●●●●●●●

The volume and the surface area of the second canister are bigger than the first one

Divide the second volume by the first one :

V2/V1= 6104/763 = 8

We deduce that the voulme of the second canister is greater 8 times than the first one

Do the same for the surface area

Sa2/Sa1 = 1865/466 = 4.002 = 4 (after rounding to the nearest unit)

The second surface area is greater 4 times than the first one

Answer:

Yeah, what they said above.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given,

Cost Price ( CP ) = Rs 400

Profit % = 4 %

Selling price ( SP ) = ?

now, Let's find the value of SP:

SP = [tex] \frac{CP \: (100 + \: profit percent \: )}{100} [/tex]

Plug the values

[tex] = \frac{400(100 + 4)}{100} [/tex]

Add the numbers

[tex] = \frac{400 \times 104}{100} [/tex]

Multiply the numbers

[tex] = \frac{41600}{100} [/tex]

Divide

= Rs [tex]416[/tex]

Selling price ( SP ) = Rs 416

Hope this helps...

Best regards!!

Answer:

We are to find the error made by Sadie and then find the correct simplification.

The error Sadie made is that she wrote [tex]a^7[/tex] as [tex]a^2 * a^5[/tex] instead of [tex]a^6 * a[/tex].

The square root of [tex]a^6[/tex] is [tex]a^3[/tex] and so she could have further simplified.

The correct simplification is shown below:

[tex]\sqrt{54a^7b^3} = \sqrt{2 * 3 * 3 * 3 * a^6 * a * b^2 * b} \\ \\= \sqrt{3^2 * a^6 * b^2 * 6 * a * b} \\\\= 3a^3b\sqrt{6ab}[/tex]

Answer:

We are to find the error made by Sadie and then find the correct simplification.

The error Sadie made is that she wrote as instead of .

The square root of is and so she could have further simplified.

Step-by-step explanation:

On edge2021

Answer:

b is the right option

Step-by-step explanation:

According to the line of best fit, the coin would land heads up about 52.73 times in 100 flips, which we can round to 53.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

Example:

The probability of getting a head in tossing a coin.

P(H) = 1/2

We have,

We can use linear regression to find the line of best fit for the given data, which will give us a linear equation that models the relationship between the number of coin flips and the number of times the coin lands heads up.

Using a calculator or statistical software, we can find that the line of best fit for the given data is:

y = 0.4975x + 2.9825

where y is the number of times the coin lands heads up, and x is the number of coin flips.

To find how many times the coin would land heads up in 100 flips, we can substitute x = 100 into the equation and solve for y:

y = 0.4975(100) + 2.9825

y = 49.75 + 2.9825

y ≈ 52.73

Therefore,

According to the line of best fit, the coin would land heads up about 52.73 times in 100 flips, which we can round to 53.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ7

Answer:

Step-by-step explanation:

diameter=2×5=10 cm

32/10=3.2≈3

128/10=12.8≈12

total number of squares=12×3=36