Hep meeee shhdjahsnsjsnsnsjjsnssjsusns

Answer:

[tex]\frac{10\sqrt{6} }{3}[/tex] and [tex]\frac{11\sqrt{3} }{3}[/tex]

Step-by-step explanation:

(a)

A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]

   = 2[tex]\sqrt{2}[/tex] × [tex]\frac{5}{\sqrt{3} }[/tex]

   = [tex]\frac{10\sqrt{2} }{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator

= [tex]\frac{10\sqrt{6} }{3}[/tex] units²

(b)

Using Pythagoras' identity in the right triangle

let hypotenuse be h , then

h² = (4[tex]\sqrt{2}[/tex] )² + ([tex]\frac{5}{\sqrt{3} }[/tex] )²

    = 32 + [tex]\frac{25}{3}[/tex]

    = [tex]\frac{96}{3}[/tex] + [tex]\frac{25}{3}[/tex]

    = [tex]\frac{121}{3}[/tex] ( take the square root of both sides )

h = [tex]\sqrt{\frac{121}{3} }[/tex] = [tex]\frac{11}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] ← rationalise the denominator

h = [tex]\frac{11\sqrt{3} }{3}[/tex]

Answer:

Weekly deposit= $18.42

Step-by-step explanation:

Giving the following information:

Number of weeks= 18

Total amount of money= $331.56

She deposited the same amount of money each week.

To calculate the weekly deposit, we need to divide the total savings by the number of weeks:

Weekly deposit= 331.56 / 18

Weekly deposit= $18.42

Answer: The answer is c

Explanation:

Answer:

11: A. Some ferrets are longer than some fishers.

12: The range for the fisher is 25cm greater than for the ferret.

13. The mean for the ferret is 11cm less than for the fisher.

5. Probably 18 members.

6. Probably 210

Step-by-step explanation:

sorry dude my last brain cell ran after exam

Answer:

[tex]\frac{2x+y}{w}[/tex]

Responda:

21 dias

Explicação passo a passo:

Total de dias necessários = 70 dias

Dias usados ​​no mês 1 = 25 dias

Dias usados ​​no mês 2 = 24 dias

Dias usados ​​no total = 24 + 25 = 49 dias

Dias restantes :

70 dias - 49 dias

= 21 dias

Answer:

arc XY = 46°

Step-by-step explanation:

the arc of an inscribed angle is equal to 2 x the inscribed angle

mXY

Answer:

Here are what they equal in their simplest forms!

Step-by-step explanation:

Sin D & Cos E were originally equal to 13 -/3 over 26

-

Sin E & Cos D were originally equal to 13/26

-

Hope I was able to help!

Answer:

sin D = FE/DE = 13√3 /26 = √3 /2

sin E = DF/DE = 13/26 = ½

(sin E = cos D)

cos D = DF/DE = 13/26 = ½

cos E = EF/DE = 13√3 /26 = √3 /2

(sin D = cos E)

Answer:

B.  [tex]x = -4\,\lor \,x = -1[/tex]

Step-by-step explanation:

Let [tex]\sqrt{-4-5\cdot x} = x[/tex], we solve for [tex]x[/tex] by algebraic means.

1) [tex]\sqrt{-4-5\cdot x} = x[/tex] Given

2) [tex]-4-5\cdot x = x^{2}[/tex] Definition of power/Symmetry of equality

3) [tex]x^{2}+5\cdot x + 4 = 0[/tex] Compatibility with addition/Commutative and associative properties/Existence of additive inverse/Modulative property

4) [tex](x+4)\cdot (x+1) = 0[/tex]         [tex]x^{2}+(a+b)\cdot x +a\cdot b = (x + a)\cdot (x+b)[/tex]

5) [tex]x = -4\,\lor \,x = -1[/tex] Result

Hence, the correct answer is B.

it's 5 days, if you need an explanation feel free

Answer:

5 days

Step-by-step explanation:

for 100 people------------ last for 8 days

for 1 person-----------------last for 8x100=800 days

Therefore, for 160 people----------------last for(800/160)=5 days.

Answer:

Step by step

Step-by-step explanation:

Since we have the endpoints of the diameter, the midpoint coordinates of the line segment joining them gives the centre of the circle.

That is, centre (a,b) = ( [1+(-3)]/2, [4+2]/2) = (-1,3)

Distance between the given points give the diameter and half of that is the radius length.

So, radius r = (1/2)* sqrt ( [1-(-3)]^2 + [4–2]^2) = sqrt(5)

Thus equation required is: (x-a)^2 + (y-b)^2 = r^2

So, (x+1)^2 + (y-3)^2 = 5

The equation of the circle is (x + 1)² + (y - 3)² = 5

The endpoints of the diameter are given as:

(1, 4) and (−3, 2)

Start by calculating the midpoint using:

Midpoint = 0.5 * (x₁ + x₂, y₁ + y₂)

So, we have:

Midpoint = 0.5 * (1 - 3, 4 + 2)

Evaluate

Midpoint = (-1, 3)

So, the center (a,b) of the circle is:

(a,b) = (-1,3)

Calculate the length of the diameter using:

D² =(x₁ - x₂)² + (y₁ - y₂)²

This gives

D² = (1 + 3)² + (4 - 2)²

D² = 20

Take the square roots

D = 2√5

Divide by 2 to calculate the radius

r = √5

Square both sides

r² = 5

The equation of the circle is then represented as:

(x - a)² + (y - b)² = r²

This gives

(x + 1)² + (y - 3)² = 5

Hence, the equation of the circle is (x + 1)² + (y - 3)² = 5

Read more about circle equations at:

https://brainly.com/question/1559324

Answer:23.1 ft

Step-by-step explanation:

Given

Point is 15 ft away from the base of the flagpole

The angle of elevation is [tex]57^{\circ}[/tex]

from the figure, we can write

[tex]\Rightarrow \tan 57^{\circ}=\frac{Y}{15}\\\\\Rightarrow Y=15\times \tan 57^{\circ}=23.09\approx 23.1\ ft[/tex]

The length of the flagpole is 23.1 ft

Answer:

1) yes

2) no

3) no

4) yes

5) yes

6) no

6) 3 < x < 17

7) 3 < x < 15

Answer:

2 years

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 7%/100 = 0.07 per year,

then, solving our equation

t = 84 / ( 600 × 0.07 ) = 2

t = 2 years

The time required to

accumulate simple interest of $ 84.00

from a principal of $ 600.00

at an interest rate of 7% per year

is 2 years.

Answer:

Not enough information.

Step-by-step explanation:

AB + BC + CD + DA = 46

In a parallelogram, opposite sides are congruent.

AB + DA + AB + DA = 46

2AB + 2DA = 46

We have two unknowns and only one equation.

There is not enough information to answer the question.

Answer:

n ε{-2,-1,0} with n being integer

Answer:

[tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex]

Step-by-step explanation:

Given rational expression is,

[tex]\frac{2x^2+5x-14}{x-2}[/tex]

x - 2) 2x² + 5x - 14(2x + 9

         2x² - 4x

                  9x - 14

                  9x - 18

                          4

Therefore, [tex]\frac{2x^2+5x-14}{x-2}=(2x+9)+\frac{4}{x-2}[/tex] is the answer.

Answer: $117,000

Step-by-step explanation:

The maximum that Arianna may borrow is 2.5 times her annual income.

First step therefore, would be to calculate her annual income:

= 900 * 52 weeks

= $46,800

She may borrow 2.5 times this:

= 46,800 * 2.5

= $117,000

Answer:

Here, it's ratio

Step-by-step explanation:

4/9: 2 and 2/9

simplify

1:5

6/7:x

6/7 x 5 is....

30/7

Mixed number is 4 2/7

BLAM!!!

Answer:

Try C it probably is your answer

Answer: B

`sqrt(8x^3 + 24x^2 + 18x)` = `sqrt(8x (x + 3/2))` = `sqrt(2x (4x + 6))` = ±(4x + 6) `sqrt(2x)`

Answer:  x= -6; y= -1

Step-by-step explanation:

-4x + y = 23

4x - 9y = - 15

-4x + y = 23

      y = 23 + 4x     [Add 4x to both side]

4x - 9(23 + 4x) = - 15

4x - 207 - 36x = - 15

-32x - 207 = -15

-32x = 192             [Add 207 to both side]

    x = -6                [Divide -32 from both side]

-4x + y = 23

-4(-6) + y = 23          [Plug in -6 for x]

24 + y = 23              [Subtract 24 from both side]

       y = -1

Answer:

6-12.

Step-by-step explanation:

Between 6 to 12 two numbers must the third side of the card fall.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that Sarah is creating a triangular birthday card for her teacher.

Thus in order to glue lace around the outside of the card, Sarah needs to know the length of each side.

It should be known that two of the sides measure 4 inches and 9 inches.

Therefore, in between 6 to 12 the third number must be lie.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

Answer:

0 = -16t² + 3200 → 16t²= 3200 → t² = 200 → t = 10√2 s ≈ 14 s

The time taken by the skydiver to reach the ground is 14.1 second.

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

Given that, the height of a skydiver jumping out of an airplane is given by n = -16t² + 3200.

Here, n=0

-16t² + 3200=0

-16t²=-3200

t²=200

t=√200

t=14.14

t=14.1 second

Therefore, the time taken by the skydiver to reach the ground is 14.1 second.

To learn more about the solution of quadratic equation visit:

https://brainly.com/question/18305483.

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Answer:

x = 22

Step-by-step explanation:

19+23=2X-2

42 = 2x - 2

-2x = -2 - 42

-2x = -44

x = 22

hope this helps