What is the length of AC

Answer:

1105.8 in³

Step-by-step explanation:

The surface area is the circumference of the base times the height:

A = 2πrh, which, in this problem, works out to:

A = 2π(4 in)²(11 in) ≈ 1105.8 in³

Answer:

The answer will be 1105.8 in³sq inches.

Step-by-step explanation:

You multiply 4x11 which is the diameter of 44. The the radius with it will be 22. To get the surface, you multiply it= 1105.8 in³

Please mark me brainliest!

Answer:

Step-by-step explanation:

the original price would be $80.00

50.00*0.08 = 4 50.00-4 = 46.00

46.00 for 25 radios with 4 cash back

30.00*0.15= 4.5 30.00- 4.5 = 25.50

total is 71.50

Answer:

Letter c

Step-by-step explanation:

You are distributing the 7 to each term in the parentheses.  

7(8x) is 56 x

Here is the tricky part.  You can think of it a couple of ways:

7(-4y) = -28y  a positive times a negative is a negative.

or 7(4y) = 28 , but then remember that you are subtracting so it will become  -28

7(6) = 56

56x - 28y +42

Answer:

c.) 7(8x - 4y + 6)

Step-by-step explanation:

if we solve 7(8x-4y+6), we get;

56x-28y+42

Using exponential functions, the ending balances are given as follows:

1. $1,490.07.

2. $1,073.83.

3. $358.04.

An increasing exponential function is modeled by:

[tex]A(t) = A(0)(1 + r)^t[/tex]

In which:

Item a:

The parameters are:

A(0) = 939, r = 0.08, t = 6.

Hence the balance is:

[tex]A(6) = 939(1.08)^6 = 1490.07[/tex]

Item b:

The parameters are:

A(0) = 823, r = 0.03, t = 9.

Hence the balance is:

[tex]A(9) = 823(1.03)^9 = 1073.83[/tex]

Item c:

The parameters are:

A(0) = 269, r = 0.1, t = 3.

Hence the balance is:

[tex]A(9) = 269(1.1)^3 = 358.04[/tex]

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

Answer:

Step-by-step explanation:

(A)length of a stamp=1/5foot

wide of a stamp=1/4foot

area of the stamp=?

area of the stamp=length of a stamp *wide of a stamp

                              =1/5*1/4

                              =1/20square foot

(B)an area of the room=1/4  square meter

width of the room=1/5meter

length of the room=?

an area of the room=width of the room*length of the room

1/4                              =1/5                          *  length of the room

1/4                              = length of the room/5                

5/4                             =length of the room

(C)the area of the canvas=1/5square yard

width of the canvas=1/4 yard

length of the canvas=?

an area of the  canvas=width of the  canvas*length of the  canvas

1/5                                = width of the  canvas*1/4

1/5                                 = width of the  canvas/4

4/5                                =width of the  canvas

width of the  canvas=   4/5

(D)length of the  rectangular course=1/5mile

area of the  rectangular course=1/4square mile

width of the  rectangular course=?

an area of the  rectangular course

                          =

width of the  rectangular course*length of the  rectangular course

1/4                      =width of the  rectangular course*1/5

1/4                      =width of the  rectangular course/5

5/4                     =width of the  rectangular course

width of the  rectangular course=5/4

Answer:

12 1/2% DISCOUNT:

Step-by-step explanation:

Jacket: $60.81

Tie: $13.56

Raincoat: $65.93

Answer:

7.5

Step-by-step explanation:

You divide 17.9 by 2.38. That would give you 7.521008403361345.

Rounding to the nearest tenth would mean to round till you have a number right after the decimal point. When you round, you would get 7.5 since 2 isn’t enough to change the five to a six.

Hope that helps!! Have an amazing day!!

Using it's concept, there is a 0.6667 = 66.67% probability of getting a total of 13 or more.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

From the tree diagram, there are 9 outcomes, of which 6 result in a total(first node + second node) of 13 or more, hence the probability is:

p = 6/9 = 0.6667.

More can be learned about probabilities at https://brainly.com/question/14398287

#SPJ1

Answer:

I assumed that you made a mostake and meant:

On a electricity bill of $38.76, mrs.miller pays only $14.80 because she pays a certain date. what percent discount is mrs.miller allowed?

62% approx

Step-by-step explanation:

$38.76 - $14.80 = $23.96

23.96/38.76 = 61.8%

Mrs. Miller is allowed a discount of approximately 5% on her electricity bill.

To calculate the percent discount that Mrs. Miller is allowed on her electricity bill, we can use the following formula:

Percent discount = (Discount amount / Original amount) * 100

In this case, the original amount of the bill is $40.80, and Mrs. Miller pays only $38.76, which means she receives a discount of $40.80 - $38.76 = $2.04.

Now, let's calculate the percent discount:

Percent discount = ($2.04 / $40.80) * 100 ≈ 5%

The discount is given as a percentage of the original bill amount and represents the amount saved by Mrs. Miller due to paying on a certain date or any other special offer provided by the electricity company. By paying $38.76 instead of $40.80, she saves $2.04, which is 5% of the original bill.

To learn more about discount click on,

https://brainly.com/question/28184203

#SPJ2

Answer:

Triangles are congruent due to SAS

Angles are congruent due to CPCTC

Step-by-step explanation:

In order to prove the congruency of the angles, we have to prove the congruency of the triangles.

ME=MR is given so that is a side

They share angle M so that is an angle

And, MA=MN which is given so that is a side.

The two triangles are congruent due to SAS postulate

So the angles are equal due to CPCTC

Angles E and R are congruent as they are the corresponding parts of two congruent triangle.

Given is a figure which shows two connected triangles ΔEMA and ΔRMN,

We need to prove ∠E ≅ ∠R.

Considering the triangles,

ME = MR [given]

MA = MN [given]

∠M is common angle in both triangles,

So, ΔEMA ≅ ΔRMN by SAS postulate.

So, ∠E ≅ ∠R by CPCTC.

Hence proved.

Learn more about congruent triangle click;

https://brainly.com/question/29116501

#SPJ7

Answer:

[tex]\textsf{b.} \quad 3x+5y=2[/tex]

Step-by-step explanation:

Define the given points:

[tex]\textsf{let}\:(x_1,y_1)=(4,-2)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-1,1)[/tex]

Use the slope formula to determine the slope of the line:

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-(-2)}{-1-4}=\dfrac{1+2}{-1-4}=-\dfrac{3}{5}[/tex]

Use the point-slope formula to determine the equation of the line.

[tex]\implies y-y_1=m(x-x_1)[/tex]

Substitute the found slope and point (4, -2):

[tex]\implies y-(-2)=-\dfrac{3}{5}(x-4)[/tex]

[tex]\implies y+2=-\dfrac{3}{5}(x-4)[/tex]

Multiply both sides by 5:

[tex]\implies 5(y+2)=-3(x-4)[/tex]

Expand the brackets:

[tex]\implies 5y+10=-3x+12[/tex]

Add 3x to both sides:

[tex]\implies 5y+10+3x=-3x+12+3x[/tex]

[tex]\implies 3x+5y+10=12[/tex]

Subtract 10 from both sides:

[tex]\implies 3x+5y+10-10=12-10[/tex]

[tex]\implies 3x+5y=2[/tex]

Answer:

1/3^3

Step-by-step explanation:

The answer is 1/3^3 or 1/27 because 3^2 is 9 and 3^-5 is 1/243. This results in the equation 9 x 1/243. When simplified you get 1/3^3 or 1/27.

Answer:

How do you figure out if a shape is similar or not using rectangle diagnols?

Assuming that diagnols = diagonal, it is not possible to define a similarity relationship without measuring at least one side.

Answer:

lineHO parallel lineEN - Given

lineHW = lineNW - Given

angle HWO congruent angle EWN Vertical Angles

angle OHW congruent angle ENW Alternate interior angles

Thus triangle HOW congruent triangle NEW

[wouldn't let me use symbols sorry]

Answer:

[tex]\huge\boxed{\sf 25\ ml}[/tex]

Step-by-step explanation:

Total amount of water = 500 ml

Mary drank = 400 ml

Left:

= 500 ml - 400 ml

= 100 ml

This was divided equally among 4 friends.

So,

Each friend got:

= 100 ml/4

= 25 ml

[tex]\rule[225]{225}{2}[/tex]

Answer:

The answer to your question is 3.5 m

Step-by-step explanation:

1 m= 100 cms

so 350 cms  = 3.5 m

I hope this helps and have a good day!

[tex]sample \: space = 52 \: cards \\ spades = 13 \: cards \\ number \: 4s = 4 \: cards \\ diamonds = 13 \: cards \\ note \: that = \\ there \: is \: replacement \\ order \: does \: matter[/tex]

[tex]P( \gamma ) = \frac{13}{52} \times \frac{4}{52} \times \frac{13}{52} = \frac{1}{208} [/tex]

Each girl washes 3 shirts. The 18 shirts are divided equally among the 6 girls

After putting 14 shirts in the washing machine, there are 32 - 14 = 18 shirts left to wash. These 18 shirts are shared equally among 6 girls. To find out how many shirts each girl washes, we divide the total number of shirts (18) by the number of girls (6):

Number of shirts washed by each girl = Total shirts / Number of girls

Number of shirts washed by each girl = 18 / 6

Number of shirts washed by each girl = 3

Each girl washes 3 shirts. The 18 shirts are divided equally among the 6 girls, so each girl washes the same number of shirts.

Learn more about division here

http://brainly.com/question/231633

#SPJ2

Answer: 300 pages are left to read.

Step-by-step explanation: There are 300 pages left to read, as 1/4 of 400 is 100. So far, Jane has read 100 pages.

I hope this helps!!

Answer: 300 pages

Step-by-step explanation: 1/4 of 400 is 100. 400-100=300. Thus, we arrive at our answer.

Answer:

slope:

5 - 5 / 2 - (-1) = 0

Thus, the equation of the line is y = 5

Answer:

As the shape forms a rectangle and line segment AB and line segment CD are parallel, you can tell that length of both line segments/sides are equal.

Step-by-step explanation:

Since the answer itself requires an explanation, I added the explanation in the answer area.

Hope that helps! Have a great day!

1. Start the search among 2-digit numbers. A dropdown number (DDN) with 2 digits is a number [tex]ab[/tex] such that

[tex]\dfrac{a+b}2 = a \implies a + b = 2a \implies b = a[/tex]

or

[tex]\dfrac{a+b}2 = b \implies a+b = 2b \implies a=b[/tex]

but both of these solutions violate the requirement that the digits are distinct, so there are no 2-digit DDNs.

A 3-digit DDN [tex]abc[/tex] is such that

[tex]\dfrac{a+b+c}3 = a \implies a+b+c = 3a \implies b+c = 2a[/tex]

or [tex]a+c=2b[/tex] if the average is [tex]b[/tex], or [tex]a+b=2c[/tex] if the average is [tex]c[/tex]. The smallest possible value for [tex]a[/tex] is 1 since we require 3 digits. Then [tex]b+c=2[/tex], and we can pick [tex]b=0[/tex] and [tex]c=2[/tex] to get the smallest DDN, 102.

2. In a 4-digit DDN [tex]abcd[/tex], we have

[tex]\dfrac{a+b+c+d}4 = a \implies a + b + c + d = 4a \implies b+c+d=3a[/tex]

or [tex]a+c+d=3b[/tex] or [tex]a+b+d=3c[/tex] or [tex]a+b+c=3d[/tex].

We're free to fix [tex]a=1[/tex] and [tex]b=0[/tex] to try to get the smallest DDN. This leaves us with [tex]c+d=3[/tex] or [tex]c+d=-1[/tex] or [tex]1+d=3c[/tex] or [tex]c=3d[/tex].

The first two cases are impossible - the only choices for [tex]c,d[/tex] such that [tex]c+d=3[/tex] are 1 and 2, and the sum of two positive integers must be positive. The smallest possible value of [tex]c[/tex] is 2; this leaves us with [tex]1+d=6[/tex] or [tex]2=3d[/tex], but the latter case is impossible because 3 does not divide 2. So [tex]d=5[/tex], and the smallest 4-digit DDN is 1025.

To find the largest DDN, start with the largest possible values for [tex]a[/tex] and [tex]b[/tex]. Let [tex]a=9[/tex] and [tex]b=8[/tex]. Then [tex]c+d=19[/tex] or [tex]c+d=15[/tex] or [tex]17+d=3c[/tex] or [tex]17+c=3d[/tex]. At most, we can have [tex]c+d=13[/tex] with 7 and 6, so the first two cases are impossible. If we maximize [tex]c=7[/tex], then either [tex]17+d=21\implies d=4[/tex] or [tex]24=3d\implies d=8[/tex] (which we don't want). So the largest 3-digit DDN is 9874.

3. I don't have an analytical solution to this, but using brute force (program) the total count is 112.

4. It is possible; consider 1249 and 1250, with digital averages

[tex]\dfrac{1+2+4+9}4=4 \text{ and } \dfrac{1+2+5+0}4=2[/tex]

which happens to be the smallest pair. (Also found with brute force.)

Answer:

b

Step-by-step explanation:

We have proven that ΔACO ≅ ΔBDO using the SAS (Side-angle-side) theorem

From the question, we are to prove that ΔACO ≅ ΔBDO

From one of the congruent triangles theorem, we have that

If two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, the triangles are congruent.

This is the SAS (Side-angle-side) theorem.

From the given information,

AB and CD intersect at point O

Thus, AO = BO

Also,

∠ACO ≅ ∠BDO

In the diagram, we can as well observe that CO ≅ DO

Thus, we can conclude that AC ≅ BD

Since sides AC, CO and the included angle ACO are congruent to sides BD, DO and the included angle BDO, we can conclude that ΔACO ≅ ΔBDO using the SAS theorem.

Hence, we have proven that ΔACO ≅ ΔBDO

Learn more on Congruent triangles here: https://brainly.com/question/2938476

#SPJ1