The two containers are mathematically similar in shape. The larger container has a volume of 3456cm3 and a surface area of 1024cm2. The smaller container has a volume of 1458cm3. Calculate the surface area of the smaller container.

Answer:

32

Step-by-step explanation:

Lets work it out.

First we combine the two equations to get 5x-10. That is equal to 70 so we get out x = 16 we put that into the equation 3x-10 and get 32

Answer: 756

Step-by-step explanation:

The president can be elected in 28 different ways. After a student is elected president, there are 27 students left to elect a vice president from. So there are 28 x 27 = 756 different arrangements.

Answer:

60

Step-by-step explanation:

Answer:

[tex]10\frac{2}{3}\pi[/tex]

Step-by-step explanation:

First find the area of the whole thing. It is 8^2π = 64π. Then the blue part is 60/360 = 1/6 of the area. This is 64/6π=32/3π=10.66π

Answer:

x = 8

Step-by-step explanation:

Step 1: Subtract 5x from both sides

-1 = x - 9

Step 2: Add 9 to both sides

x = 8

Answer:

∠ BDG = 148°

Step-by-step explanation:

The tangent- chord angle BDG is half the measure of its intercepted arc DCG

The 2 arcs in the circle sum to 360°, thus

arc DCG = 360° - arc DG = 360° - 64° = 296° , thus

∠ BDG = 0.5 × 296° = 148°

Answer:

Length of AD is 8.4 units.

Step-by-step explanation:

Given that:

There are two similar rectangles ABCD and DEFG.

AB = 6 units

DE = 15 units

DG = 21 units

To find:

AD = ?

Solution:

Please refer to the attached image for having a look at the two given rectangles.

First of all, let us learn about the similar rectangles.

If two rectangles are similar, then the ratio of their corresponding sides are always equal.

i.e.

[tex]\dfrac{AB}{AD} = \dfrac{DE}{DG}[/tex]

Putting values of AB, DE and DG to find out AD:

[tex]\dfrac{6}{AD} = \dfrac{15}{21}\\\Rightarrow \dfrac{6}{AD} = \dfrac{5}{7}\\\Rightarrow \dfrac{1}{AD} = \dfrac{5}{7\times 6}\\\Rightarrow \dfrac{1}{AD} = \dfrac{5}{42}\\\Rightarrow AD = \dfrac{42}{5}\\\Rightarrow AD = 8.4\ units[/tex]

So, value of AD is 8.4 units.

Replace f with 190, replace P with 4148 and solve for  s:

4148 = 1.85s + 4.2(190)

Simplify:

4148 = 1.85 + 798

Subtract 798 from both sides:

3350 = 1.85s

Divide both sides by 1.85:

s = 1,810.81

Rounded to nearest square foot = 1811 square feet.

Answer:

it would take about 4.2 years for her debt to double.

Step-by-step explanation:

With a principal of $3000, and an annual interest rate of 18%, the equation for accumulated debt as a function of time in years, would be given by the expression:

[tex]A(t)=3000\,(1+0.18)^t[/tex]

now, if we want to find when the debt would double, we replace A(t) with $6000, and solve for the time 't' using logarithms to bring down the unknown (t) that resides in the exponent:

[tex]A(t)=3000\,(1+0.18)^t\\6000=3000\,(1.18)^t\\2=(1.18)^t\\log(2)=t\, \, log(1.18)\\t=\frac{log(2)}{log(1.18)} \\t=4.1878\,\,years[/tex]

which we can round to approximately 4.2 years

Answer:

[tex]2\frac{8}{15}[/tex] or  2.5333

Step-by-step explanation:

Just multiply the numbers. please mark brainliest

Perimeter of a rectangle = 2l + 2b

where

l = length

b = breadth

The length is twice it's breadth which is written as

l = 2b

Perimeter = 2(2b) + 2b

72 = 4b + 2b

72= 6b

Divide both sides by 6

b = 12 meters

Since l = 2b

l = 2(12) = 24 meters

The length of the rectangle is 24 meters and it's breadth is 12 meters

Hope this helps

Answer:

If breadth of a rectangle is 19m and perimeter is 80m, find the length of the rectangle.

Step-by-step explanation:

Answer:

Mean = 25

Median = 23

Mode = 33

Step-by-step Explanation:

First, let's write out all the values represented in the stem and leaf plot. We have the following data sets as follows:

15, 18, 18, 19,

22, 23, 25,

31, 33, 33, 33

=>Mean = sum of all values ÷ no of values

= (15+18+18+19+22+23+25+31+33,+33+33)/11

= 270/11 ≈ 25 (to the nearest whole number)

=>Median is the middle value when the data set is ordered. Since we have 11 values, our median value would be the 6th value in our data set = 23

15, 18, 18, 19, 22, |23|, 25, 31, 33, 33, 33

=>Mode is the most occured value = 33

Answer:

£6000

Step-by-step explanation:

3:5:8

3+5+8=16

5-3 =2

Therefore 2=750

Therefore 1=375

16*375=£6000

Answer:

Step-by-step explanation:

El ancho es x, el largo es x+3

El perímetro es dos veces el largo más dos veces el ancho, es decir: 2(x) + 2(x+3) = 4x+6

El polinomio sería: P(x)=4x+6

Answer:

[tex] Volume = 150 yd^3 [/tex]

[tex] Surface Area = 150 yd^2 [/tex]

Step-by-step explanation:

Going by the dimensions of the given three-dimensional figure, we can conclude that the figure is that of a cube. The height, length and width are equal.

Volume of a cube is given as [tex] a^3 [/tex] , while surface area of a cube is given as [tex] 6a^2 [/tex]

Where, a = the side length = 5 yards

[tex] Volume = a^3 = 5^3 [/tex]

[tex] Volume = 150 yd^3 [/tex]

[tex] Surface Area = 6a^2 = 6(5)^2 [/tex]

[tex] Surface Area = 150 yd^2 [/tex]

Answer:

u+43°=u_3°+u+3° (by exterior angle theorem)

u+43°= 2u

or, 2u_u=43°

or, u= 43°

is the value of u.....

Answer:

Brainliest please

Step-by-step explanation:

15 women= 12days

find 10 days,

12÷10×15= 18women in ten days

how many more women, subtract 18 women and 15 women

=3 is the answer

Answer:

A prism is a polyhedron A prism is a 3-dimensional shape with two identical shapes facing each other. These identical shapes are called “bases”. The bases can be a triangle, square, rectangle or any other polygon.

Step-by-step explanation:

i hope this will help you

Answer:

A triangular prism is a prism whose bases are triangles and whose lateral faces are rectangles.It has 9 edges and 6 vertices.

please see the attached picture.

hope this helps..

Good luck on your assignment..

Answer:

Step-by-step explanation:

Hello,

[tex]g(n)=80*(\dfrac{3}{4})^n \ So\\g(1)=80*\dfrac{3}{4}=20*3=60 \\\\ and \\\\\dfrac{g(n)}{g(n-1)}=\dfrac{80*(\dfrac{3}{4})^n}{80*(\dfrac{3}{4})^{n-1}}=\dfrac{3}{4} \ so \\\\g(n)=g(n-1)*\dfrac{3}{4}[/tex]

do not hesitate if you have any question

Given that,

Speed of first bicycle = 9 mph

Speed of second bicycle = 5 mph

Suppose the length of the circle 24 miles.

We need to find the relative velocity

Using formula of relative velocity

[tex]v=v_{1}-v_{2}[/tex]

Put the value into the formula

[tex]v=9-5[/tex]

[tex]v=4\ mph[/tex]

We need to calculate the time

Using formula of time

[tex]t=\dfrac{d}{v}[/tex]

[tex]t=\dfrac{24}{4}[/tex]

[tex]t=6\ hr[/tex]

We need to calculate the distance of the points where the two bicycles meet

Using formula of distance

For first bicycles,

[tex]d=9\times6[/tex]

[tex]d=54\ miles[/tex]

For second bicycles,

[tex]d'=5\times6[/tex]

[tex]d'=30\ miles[/tex]

Hence, The points where the two bicycles meet after every 6hr at 30 miles and 54 miles.

Answer:

2.36 km

Step-by-step explanation:

First they covered 3/8 of the road, so in figures that is;

= [tex]\frac{3}{8} * 10km[/tex]

=3.75 km

The second week they covered 7/18 of the road which is;

= [tex]\frac{7}{18} * 10km[/tex]

= 3.89 km

If we combine the two distances, we get;

= 3.75 km + 3.89 km

= 7.64 km

Subtract this from the total distance and you get

= 10 km - 7.64 km

= 2.36 km

Which means 2.36 km of the road is left to be covered with asphalt.

Answer:

2a+2b

Step-by-step explanation:

I am pretty sure that if the length is a and width is b, you would add them twice together. I am actually not quite sure.

Hope this helped you

I am sorry if this was wrong, I am still a beginner at this

Answer:

8 questions.

Step-by-step explanation:

100 - 2x = 84

-2x + 100 = 84

-x + 50 = 42

x - 50 = -42

x = 8

Trevor answered 8 questions incorrectly.

Hope this helps!

Answer:

8

8Step-by-step explanation:

100-2x=84

subtract 84 from both sides

16-2x=0

add 2x to both sides

16=2x

divide both by 2 to get x

x=8

hope this helped

Answer:

A

Step-by-step explanation:

To find the volume we do 2 * 1.25 * 1.5 (i rewrote the fractions as decimals) which is 3.75 or 3 and 3/4 cubic inches.

Answer:

V = [tex]3 \frac{3}{4}[/tex]

Step-by-step explanation:

Hey there!

Well the volume "v" of a rectangular prism is,

V = l•w•h

Fill in

[tex]V = 2* 1 \frac{1}{4} * 1 \frac{1}{2}[/tex]

V = [tex]3 \frac{3}{4}[/tex]

Hope this helps :)

Answer:

[tex]\large \boxed{\sf \ \ 2 \ \ }[/tex]

Step-by-step explanation:

Hello,

The mean of five numbers is 8 so we can write

[tex]\dfrac{x_1+x_2+x_3+x_4+x_5}{5}=8[/tex]

When another number is added the mean is 7, let s note x the another number we can write

[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7[/tex]

From the first equation we can say

[tex]x_1+x_2+x_3+x_4+x_5=8*5=40[/tex]

So the second equation becomes

[tex]\dfrac{x_1+x_2+x_3+x_4+x_5+x}{6}=7\\\\<=> \dfrac{40+x}{6}=7\\\\<=>40 + x = 6*7=42\\\\<=> x = 42-40 = 2\\[/tex]

The solution is then 2

Hope this helps

Answer:

12 adults and 4 kids were there that the fair

Step-by-step explanation:

Answer:

x=13 degrees

Step-by-step explanation:

Supplementary angles: 180 degrees.

180-98=82

Vertical angles: congruent

Corresponding angles: congruent

We have 2 angles of the triangle, so we can find the third. (Angles in a triangle add to 180 degrees)

x=13

Answer:

a) Domain: All real numbers

b) Domain: -4<x<=4

a) Range: All real numbers greater than 2

b) Range: 0<=y<=4

Step-by-step explanation:

Domain is the possible x values

Range is the possible y values

Open circle means not included

Close circle means included

Answer: a) Domain: x = (-∞, ∞)              b) Domain x = (-4, 4]

                  Range y = [2, ∞)                        Range y = [0, 4]

Step-by-step explanation:

Domain represents the x-values. Range represents the y-values.

a) the graph doesn't end so every x-value is possible

  x = All Real Numbers       x = (-∞, ∞)

The lowest y-value (minimum) is at y = 2.  All other y-values are greater than that. y ≥ 2      y = [2, ∞)

b) The graph starts at x = -4 with an open dot so it doesn't include -4.  It ends at x = +4 with a closed dot so it does include +4.

     -4 < x ≤ 4           x = (-4, 4]

The lowest y-value (minimum) is at y = 0.  All other y-values are greater than that up to y = 4. 0 ≤ y ≤ 4      y = [0, 4]

Answer:

The length of AC = 4 and the length of A'C' = 1 so the scale factor is 1/4.

Answer:

(i) 1/21

(ii) 1/10

(iii) Take a look at the explanation: Try this one yourself. I have given you some hints.

Step-by-step explanation:

(i) Two red balls:

To do this, we need to find the total amount of possible choices first. To do this, we multiply 15 by 14. This is our denominator:

15(14) = 210

Now, we need to find the total combinations of red balls. We solve 5 choose 2 for this one.

5 choose 2 = 5(4)/2! = 10

Our numerator is 10. Therefore, our probability is 10/210 = 1/21.

(ii) Two blue balls or two black balls:

To do this, we need to add the probabilities of getting a blue ball with a black ball. (Since there is an "or" sitting there. If there is an "and", we multiply)

So, let's calculate the probability of getting a blue ball first:

Blue:

We use the same denominator as before: 210.

Our numerator is now 6 choose 2, which is:

6 choose 2 = 6(5)/2! = 15.

Now, our fraction is 15/210, BUT, dont simplify, as we will need to add.

Black:

Same steps: denominator is 210, but the numerator is 4 choose 2.

Solving 4 choose 2:

4 choose 2 = 4(3)/2! = 6.

Our numberator is 6.

But, we cant forget to add them!

(15 + 6)/210 is 21/210, which is 1/10.

(iii) I'll let you try this one by yourself. Here is a hint:

Solve for the probability of chooseing a black ball and a red ball. Then, multiply.

Enjoy the process, and I hoped this helped you! (If you have any questions, feel free to ask)