What is the quotient for the expression 2,314 divided by 4

To find the area of the trapezoid we need to find the height of the trapezoid.

A trapezoid is a quadrilateral which is having a pair of opposite sides as parallel and the length of the parallel sides is not equal.

The area of a trapezoid is given as half of the product of the height(altitude) of the trapezoid and the sum of the length of the parallel sides.

\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of the\ parallel\ Sides)

The area of the trapezoid is 54 units².

ABCD is a trapezoid

AD=10, BC = 8,

CK is the altitude altitude

Area of ∆ACD = 30

In ∆ACD,

\begin{gathered}\rm { Area\ \triangle ACD = \dfrac{1}{2}\times base\times height\\\\\ \end{gathered}

Substituting the values,

30 = 1/2 * AD × CK

30 = 1/2 * 10 × CK

(30 * 2)/10 = CK

CK = 6 units

\rm{ Area\ of\ trapezoid = \dfrac{1} {2}\times height \times (Sum\ of\ the\ parallell Sides)

Area ABCD = [tex] \frac{1}{2} \times ck \times (ad + bc)[/tex]

Area ABCD = [tex] \frac{1}{2} \times 6 \times (10 + 8)[/tex]

Area ABCD = [tex] \frac{1}{2} \times 6 \times (18)[/tex]

Area ABCD = 54 units²

Hence, the area of the trapezoid is 54 units².

Answer:

Option E) 832.9km2

Step-by-step explanation:

The total area of the circle:

[tex]A=\pi r^{2} =\pi (24.5)^{2} =1885.7km^{2}[/tex]

The proportion of the blank region:

[tex]\frac{(67)(3)}{360} =0.558333[/tex]

Then the proportion of the shaded region is:

[tex]1-0.558=0.441667[/tex]

Extract this proportion from the total area

[tex](1885.7)(0.441667)=832.85=832.9km^{2}[/tex]

Hope this helps

Answer:

n=14

Step-by-step explanation:

To find the length of the given side with length "n", we must know the relationship between the different sections when the chords cross one another.

Now, the relationship we require is that when we multiply the 2 parts of both chords together, it will be equal to the product of the two sides in the other chord. Thus;

7(8) = 4(n)

56 = 4n

14 = n

Answer:

b

Step-by-step explanation:

He has a probability of 2 over 6 to roll 2 or 5 bc it's 2 numbers out of 6 simplify 2 over 6 and you get 1 over 3

Answer:

[tex]V = 1847.26\ ft^3[/tex]

Step-by-step explanation:

Step 1:  Determine the volume

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

[tex]V = \pi *(7\ ft)^2 * (12\ ft)[/tex]

[tex]V = \pi *49\ ft^2 * 12\ ft[/tex]

[tex]V = \pi * 588\ ft^3[/tex]

[tex]V = 1847.26\ ft^3[/tex]

Answer:   [tex]V = 1847.26\ ft^3[/tex]

Answer:

Step-by-step explanation:

volume

Answer:

144 cubic units

Answer:

20%

Step-by-step explanation:

[tex]\frac{52-65}{65}[/tex] * 100% = -20%

A [tex]\cap[/tex] B denotes to all common elements in both A and B

So

2 is common

Hence

A $\cap$ B={2}

Answer:

P(A ∩ B) = 1/10

Step-by-step explanation:

Given:

We can represent this information in a Venn diagram (see attachment 1).

As there are 10 equally likely outcomes (which must add up to 1), the probability of each outcome is 1/10.

Therefore, we can redraw the Venn diagram with the probabilities instead of the values (see attachment 2).

P(A ∩ B) means the probability of events A and B happening together, so it is the section of the diagram where events A and B overlap.

Therefore, P(A ∩ B) = 1/10

Answer:

Yes, but you have to write what the slope and y-intercept of the equation is as well.

Step-by-step explanation:

(Not sure if you wanted the full answer or just if you should graph it but I'm putting it here anyways :^P)

First convert the equation from standard form to slope-intercept form.

5x-3y=18 -> 5x-18-3y -> 5/3x-6=y

5/3x is the slope and 6 is the y-intercept!

Then graph the equation.

First rewrite the equation in slope intercept form

slope intercept form: y = mx + b [ where m is slope and b is y-intercept ]

[tex]\sf \rightarrow 5x - 3y = 18[/tex]

[tex]\sf \rightarrow - 3y = 18-5x[/tex]

[tex]\sf \rightarrow y = \dfrac{-5x+18}{-3}[/tex]

[tex]\sf \rightarrow y = \dfrac{-5x}{-3} + \dfrac{18}{-3}[/tex]

[tex]\sf \rightarrow y = \dfrac{5}{3}x -6[/tex]

comparing with y = mx + b, Here we can identify that the

x-intercept:          ( then y will be 0 )

[tex]\sf \hookrightarrow \dfrac{5}{3}x -6=0[/tex]

[tex]\sf \hookrightarrow \dfrac{5}{3}x=6[/tex]

[tex]\sf \hookrightarrow x=\dfrac{18}{5}[/tex]

[tex]\sf \hookrightarrow x = 3.6[/tex]

In order to graph the line

Graph:

Answer:

Answer: 50 percent or 1/2

Answer:

8 hrs to get there    (  12   hrs to get back)

Step-by-step explanation:

rate * time = distance      distance is the same for both trips

15 km/hr * (t-4)   = 10 ( t)

15t - 60 = 10 t

5t = 60

t = 12  

  t-4 = 8  hrs      

Answer:

2 square units

Step-by-step explanation:

just count the squares that go up

Answer:

You use the most important and sacred tool: ruler

Answer: By measuring with tape or ruler

Step-by-step explanation:

Answer:

a) x = 1/12

b) x = 3/4

c) x = 2/35

d) x = 20

e) x = 3/10

Step-by-step explanation:

a) 8x = 2/3

   8x/8 = (2/3) / 8

   x = 2/3 * 1/8

   x = 2/24

   x = 1/12

b) 1 1/2 = 2x

    3/2 = 2x

    (3/2) / 2 = 2x/2

    3/2 * 1/2 = x

    3/4 = x

    x = 3/4

c) 5x = 2/7

   5x/5 = (2/7) / 5

   x = 2/7 * 1/5

   x = 2/35

d) 1/4x = 5

   1/4x * 4 = 5 * 4

   x = 20

e) 1/5 = 2/3x

   1/5 * 3/2 = 2/3x * 3/2

   3/10 = x

   x = 3/10

Please consider giving me brainliest! :)

Answer:

biside of A

Step-by-step explanation:

thats is the answers

Answer:

9/20

Step-by-step explanation:

[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill & \$237.90\\ P=\textit{original amount deposited}\dotfill & \$1525\\ r=rate\to 2.6\%\to \frac{2.6}{100}\dotfill &0.026\\ t=years \end{cases} \\\\\\ 237.90 = (1525)(0.026)(t)\implies \cfrac{237.90}{(1525)(0.026)}=t \implies 6=t[/tex]

[tex]7 \frac{5}{8} + 4 \frac{2}{3} [/tex]

the simplest form.

[tex] \frac{61}{8} + \frac{14}{3} [/tex]

[tex] = \frac{(61 \times 3) + (14 \times 8)}{8 \times 3} [/tex]

[tex] = \frac{183 + 112}{24} [/tex]

[tex] = \frac{295}{24} [/tex]

[tex] = 12 \frac{7}{24} [/tex]

hence, the correct answer is option D.

Step-by-step explanation:

8. Simple random sample

9. Stratified Sample

10. Convenience Sample

Answer:

To solve the above problem we will use the unitary method as follows

As estimated  If £ 3 is equivalent to € 4

Then, £ 1 will be equivalent to = € \frac{4}{3}

£ 64.60 will be equivalent to = € \frac{4}{3} \times 64.60 = 1.3333 \times 64.60 = 86.1311

Now you have to round the answer up to 2 decimal points to get the final answer

€ 86.1311 ≈ € 86.13

Thus, £ 64.60 is approximately equal to  € 86.13.

Step-by-step explanation:

hope this helps if not let me now

Step-by-step explanation:

Begin by separating the division. Division in the argument of a logarithm function is equivalent to subtracting the log of the numerator and denominator:

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

Multiplication under a logarithm means addition:

[tex] ln( {x}^{9}) + ln( \sqrt{ {x}^{2} + 7 }) - ln(( {x + 7})^{7} )[/tex]

Log rules say that exponents can be dragged to the front as coefficients:

[tex]9ln(x) + \frac{1}{2} ln( {x}^{2} + 7) - 7ln(x + 7)[/tex]

Answer:

94.8 %

Step-by-step explanation:

mean 32   +  1.63   * SD   = 63

Z-score for 1.6316   is .9484     94.8 %  are < 63

Answer:

It would be (3,0) its in the 1st grid and if you rotate it 90 degrees its now in the second grid which flips the sign on the x value.

Step-by-step explanation:

If you mean

The graph has been attached

If that modulus sign is typing mistake then

The yielded function is

Both graphs attached

Answer:

35%

Step-by-step explanation:

Answer:

The area of the rectangle = x + 20

Step-by-step explanation:

The explanation is in the attachment

SORRY FOR MY BAD HANDWRITING

!!PLEASE PLEASE PLEASE MARK ME THE BRAINLIEST!!

Answer:

picture a is 180⁰ clockwise or counterclockwise (c)

picture b is 90⁰ counterclockwise (b)

Step-by-step explanation:

hope this helps :)

Answer:

A and B

Step-by-step explanation:

The first one is 180 clockwise…

Second picture is 90 counterwise.

I hope thi help and have a good day.

Answer:

Step-by-step explanation: if 5/2:2/5 then 4/5 of a pint= 10/2 and you now only need 1/5 of a pint so you have to divid 5/2 by 2. that will give you 1.25 and 1.25 as a fraction is 5/4. now you need to change the fraction 10/2 so that you can add them. Equation for that is 10/2 times 2/2 that gives you 20/4 and 20/4+ 5/4=25/4 or 6 1/4(six and one fourth) of a cup