if a hexagonal prism has a volume of 539 cubic meters and is 16 meters tall, find the area of the hexagonal base

Base Area= ___ m^2

Answer:

13i/5

Step-by-step explanation:

25z^2+140=-29      subtract 140 from both sides

25z^2=-169          now square root both sides.

[tex]\sqrt{25z^{2} }[/tex]=[tex]\sqrt{-169}[/tex]     a negative root forms i

5z=13i                    

z=13i/5

Answer:

z is 13i/5

Step-by-step explanation:

[tex]{ \sf{25 {z}^{2} + 140 = - 29}} \\ { \sf{25 {z}^{2} = - 169 }} \\ { \sf{ \sqrt{25 {z}^{2} } = \sqrt{ - 169} }} \\ { \sf{5z = \sqrt{169 \times - 1} }} \\ { \sf{5z = \sqrt{169} \times \sqrt{ - 1} }} \\ { \sf{5z = 13 \times \sqrt{ {i}^{2} } }} \\ { \sf{5z = 13i}} \\ { \sf{z = \frac{13i}{5} }}[/tex]

Answer:

isabella will be able to pay 2 full years of insurance with her remaining savings

Step-by-step explanation:

as we know isabella saved $13,000

the car cost $11,675 - so subtracting that from her total we will know that she has: $1,325 remaining

insurance for a year costs $650,

so we will divide her remaining sum by the yearly cost giving us -

1,325/650

= ‎‎‎2.0.3....

this means that she will be able to pay for 2 full years of insurance with her remaining savings

hope this helped:)

========================================================

Explanation:

x = number of years

Since it costs $650 a year for insurance, she will pay 650x dollars of insurance in total over those x years.

For example, if x = 4, then 650*x = 650*4 = 2600 dollars is paid in insurance.

The expression 650x is added onto the 11675 which is the cost of the car.

Overall, Isabella pays 650x+11675 dollars as the combined cost of the car itself and the insurance over those x years.

Set this equal to 13000 and solve for x

650x+11675 = 13000

650x = 13000 - 11675

650x = 1325

x = 1325/650

x = 2.03846 which is approximate

Rounding down to the nearest whole number gets us to x = 2

She will be able to afford 2 full years of insurance

Note that if x = 3, then,

650x+11675

650*3+11675

13625

Which is 625 dollars over her budget. This shows that she cannot have x = 3 or larger.

Answer:

First, you have to add 9, 18, and 12. When we add this we get 39. She has 30 dollars, do we can see that she needs $9 more to get all three books.

Step-by-step explanation:

HI THERE

the answer is -6

#YoghurtCup

Answer:

Answer:

the polygon name is decagon

Step-by-step explanation:

sum exterior angles is 360

10 sides

360÷10=36

Answer:

decagon

Step-by-step explanation:

[tex] \frac{360 \degree }{size \: \: of \: \: \: \: the \: \: exterior \: \: angle} = number \: \: of \: \: sides \\ \\ \frac{360}{36} = 10 \: \: sides \\ [/tex]

Name of the polygon which has 10 sides is decagon

Answer:

(1,-1)

Step-by-step explanation:

Answer:   B) 6

Explanation:

Segment BA is half as long as ZY, since BA is a midsegment.

This means ZY is twice as long as BA

ZY = 2*BA

2*BA = ZY

2*(x-1) = 10

2x-2 = 10

2x = 10+2

2x = 12

x = 12/2

x = 6

Note how this leads to BA = x-1 = 6-1 = 5, which is half as long as ZY = 10.

Answer: 2 days

Step-by-step explanation:

We will add there work together

= 1/3 + 1/6

= 2/6 + 1/6 (LCM 6)

= 3/6

= 1/2

Therefore 1/2 = 2 days

Therefore it will take them 2 days

please click thanks and mark brainliest if you like :)

Answer:

512

Step-by-step explanation:

if 8 is the edge using the formula

V=a³=8³

V=512

Answer:

85 films

Step-by-step explanation:

10 + 20 + 25 + 20 + 10

= 85 films

answered by g a u t h m a t h

Hey there!

8 0/1

8 * 1 + 0/1

= 8 + 0/1

= 8/1

Therefore your answer is most likely: 8/1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

His salory before Increse is 17250

Let x be the amount of salt in the solution.

At day's end, the concentration of salt in the beaker is

x / (4 L) = 0.08 = 8%

Solve for x to get

x = 0.08 (4 L) = 0.32 L

So at the beginning, the concentration of salt in the beaker was

(0.32 L) / (5 L) = 0.064 = 6.4%

Answer:

The length of the school garden is 4  97/132 feet

Step-by-step explanation:

Divide 31  1/4 by 6  3/5.

125/4 divided by 33/5 = 625/132

625/132 = 4  97/132

Hope this helps :)

The length of garden is 625/ 132 ft

The area of any rectangle is calculated, once its length and width are known. By multiplying length and breadth, the rectangle's area will obtain in a square-unit dimension

Given:

area of garden = 31 1/4 ft = 125/4

width = 6 3/5 ft = 33/5 ft

Now, area of garden

=length * width

125/4 = length * 33/5

length= 125/4 * 5/33

length = 625/ 132 ft

Learn more about area of rectangle here:

https://brainly.com/question/8663941

#SPJ2

Answer:

Hello,

[tex]\boxed{Answer: 75}[/tex]

Step-by-step explanation:

x,y integers, x,y >0 ,x≠y

[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{18}\\\\\dfrac{x+y}{xy} =\dfrac{1}{18}\\\\x+y=\dfrac{xy}{18}\\\\x=\dfrac{18y}{y-18}\\x=\dfrac{18y-324 +324}{y-18}\\x=18+\dfrac{324}{y-18}\\[/tex]

[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{18}\\\\\dfrac{x+y}{xy} =\dfrac{1}{18}\\\\x+y=\dfrac{xy}{18}\\\\x=\dfrac{18y}{y-18}\\x=\dfrac{18y-324 +324}{y-18}\\x=18+\dfrac{324}{y-18}\\\begin{array}{|c|c|c|c|}y-18&y&x&x+y\\---&---&---&---\\1&19&18+324=342&362\\2&20&18+162=180&200\\3&21&126&147\\4&22&99&121\\6&24&108&132\\12&30&45&75\\18&36&36&72\\\end{array}\\\\\\\boxed{Answer: 75}\\\\[/tex]

Answer:

B) 4 miles

Step-by-step explanation:

the big triangle CAB and small triangle CED are simular (given)

this means the ratio between their corresponding sides will be the same.

find corresponding sides with alternate interior angle theorem

m CDE= m CBA

vertical angles theorem

m ACB = m DCE

therefore, AC corresponds to CE

find ratio of sides

7 miles = 36960 feet

36960/ corresponding side 21 ft

36960/ 21= 1780 ft

multiply by 1780 to get from small side to big side

small side CE = 12 ft

12*1780

=21120 ft =AC (in ft)

convert to miles (ft to miles is ft/5280)

21120/5280

=4 miles

hope this helps

Answer:

To solve the above equation we will follow the BODMAS rule.

It stands for :

[tex]\quad\begin{gathered} \small \begin{array}{l} \star \: \rm B= bracket \\\star \: \rm O= order \: of \: power \: \\\star \: \rm D= division \\\star \: \rm M= multiplication \\ \star \: \rm A= addition \\ \star \: \rm S=subtraction \end{array}\end{gathered}[/tex]

Solving the question by bodmas rule :

[tex] \tt{ = 2 \times 1 + 52 - 36 \div 2}[/tex]

[tex] \tt{ = 2 \times 1 + 52 - \dfrac{36}{2}}[/tex]

[tex] \tt{ = 2 \times 1 + 52 - \cancel{\dfrac{36}{2}}}[/tex]

[tex] \tt{ = 2 \times 1 + 52 - 18}[/tex]

[tex] \tt{ = 2 + 52 - 18}[/tex]

[tex] \tt{ = 54 - 18}[/tex]

[tex] \tt{ = {\underline{\underline{\red{ \: 36 \: }}}}}[/tex]

Hence, the answer is 36.

Answer:

It was reflected over the line x-1 or D.

Step-by-step explanation:

The triangle is no longer in the second quadrant, it moved to the 3rd quadrant meaning it had to be reflected over line x-1

Answer:

7.A (5,1)

B(5,7)

8. D (0,6)

Step-by-step explanation:

7.  One vertex is at (5,4)

Move 3 units either direction in x

(5-3,4) = (2,4)

(5+3,4) = (8,4)

Or move 3 units in the y direction

(5,4+3) = (5,7)

(5,4-3) = (5,1)

If x is less than 2 or greater than 8 it is too far from the one vertex we are given

If y is less than 1 or greater than 7 it is too far away from the one vertex we are given

C cannot be a vertex since y =9

D is not a vertex since the point is (2,6) and not (2,4) which we know is 3 units away

E is not a vertex since the point is (2,1) and not (2,4) which we know is 3 units away

8.  The center is (0,0)

The points have to add to a radius of 6

r^2 = 36

The sum of the x^2 and y^2 = 36

3^2 +0^2 = 9

4^2 +2^2 = 16+4 = 20

5^2 +3^2 = 25+9 = 34

0^2+6^2 =36  yes  for D

4^2 +4^2 =16+16 = 32

1^2+5^2 = 26

Step-by-step explanation:

Super Pioneer:

If at the Super Pioneer Store he can get 4 lemons for 1.6 dollars, 1 lemon should cost:

4: 1.6

1:. X

4x = 1.6

X = 1.6/4

X = 0.4

1 lemon costs 0.4 dollars

How many lemons could we get from $2.4?

1 : 0.4

X : 2.4

0.4x = 2.4

X = 2.4/0.4

X = 6

2.4 dollars would get you 6 lemons

8 lemons would cost= 8x0.4 = $3.2

Keyfood Supermarket

3 lemons cost 1.8$, so how mucb does 1 lemon cost?

3: 1.8

1 : X

3x = 1.8

X = 1.8/3

X = 0.6

If 1 lemon costs 0.6, how many lemons could you buy from $3?

1: 0.6

X : 3

3 = 0.6x

X = 3/0.6

X = 5

If 1 lemon cost 0.6$, 8 lemons would cost:

8 x 0.6 = $4.8

(I have also edited the answers on the table, but sorry if they seem a bit messy)

Answered by G a u t h m a t h

Answer:

12

Step-by-step explanation:

for this you need to draw a straight line and plot the points J,K,L,M,N according to the question.

here,

given K lies between J and M, L is between K and M , M is between K and N.

JN= 30, KM=8

JK=KL=LM

MJ= ?

according to the question,

J--------K-------L--------M-------N

KM= 8

KL+LM= 8 (KL+LM=KM)

KL+KL=8 ( given, LM=KL)

2KL= 8

KL=4

so,

JK= KL=4 and LM= KL= 4

now,

MJ= ?

we know

MJ= JK+KM = 4+8= 12

Step-by-step explanation:

-6-2=-8

-5-0=-5

-8^2+-5^2=64+25=89

square root of 89=9.4

Answer:

( x - 2 )^2 + ( y - 1 )^2 = 1

Step-by-step explanation:

As i previously explained,

The general form of equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2.

h and k are the co-ordinates of the center of circle and r is the radius

Here, We have (2,1) as the co-ordinates of the center of circle

Now,

( x - h )^2 + ( y - k )^2 = r^2

or,( x - 2 )^2 + ( y - 1 )^2 = r^2

The radius of the circle is 1 units(from figure)

So, put that in, we get

( x - 2 )^2 + ( y - 1 )^2 = 1^2

or, ( x - 2 )^2 + ( y - 1 )^2 = 1

You can simplify this or leave it here.

Answer:

Top circle:

A=25pi or 78.54 sq cm  

P = 10pi or 31.42 cm

Bottom circle(assuming D is 13 m):

A= 42.25pi or 132.73 sq m  

P = 13pi or 40.84 m

Step-by-step explanation:

Answer:

99

Step-by-step explanation:

(√3−(−2√3))^2+(−√2−5√2)^2

Subtracting a negative is like adding

(√3+(2√3))^2+(−√2−5√2)^2

Taking the first term

(√3+(2√3))(√3+(2√3))

sqrt(3)^2 +2 sqrt(3) * sqrt(3) +2 sqrt(3) * sqrt(3)  + (2 sqrt(3))^2

3 + 2 *3 + 2*3 + 4*3

3 +6+6+12

27

Second term

(−√2−5√2)(−√2−5√2)

-sqrt(2)*-sqrt(2) -sqrt(2)*-5sqrt(2) -sqrt(2)*-5sqrt(2) -5sqrt(2)*(-5sqrt(2))

2 +5*2 +5(2) +25(2)

2+10+10+50

72

Add the two terms together

27+72

99

Answer:

d = 6(√3 - 2√2)

Step-by-step explanation:

d = (√3 - (-2 √3) * 2 + (-√2 - 5√2) * 2

d = (√3 + 2√3)   * 2 + (-√2 - 5√2) * 2

d = 3√3              * 2 + (-6√2)         * 2

d = 6√3                   + (-12√2)

d = 6√3 - 12√2

d = 6(√3 - 2√2)

Radius = diameter/2 = 8/2 = 4m

Area of a circle = pi x r^2 = pi x 4^2 = 16pi m^2 ( exact area) or 50.27 m^2

Circumference = pi x diameter = 8pi m ( exact) or 25.12 m

Answer:

C = 25.12 A = 50.24

Step-by-step explanation:

Circumference formula = dπ

Area formula = πr^2

Circumference:

Plug in:

8π

8 × 3.14 = 25.12

Area:

8/2 = 4

r = 4

Plug in:

πr^2

π4^2

16π

16 × 3.14 = 50.24

Hope this helped.

Answer:

A = 60 m^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 1/2 (20)*6

A = 60 m^2

Answer:

1.6

2. Honestly, I think it is, because it repeats at regular intervals. The period is -2.

Step-by-step explanation: