If 5,x,y,40 are in geometrical progression, find x and y respectively.

Answer:

y=4x/5+5

Step-by-step explanation:

Points are (0,5)  and (-5,1)

(y-5)/(1-5)=x-0/[0-(-5)]

(y-5)/4=x/5

*5/5         *4/4

5(y-5)/20=4x/20

5y-25=4x

+25       +25

5y=4x+25

:5     :5

y=4/5*x+5

Answer:

B. 2/3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

y= 2/3 x

Answer:

c & d

Step-by-step explanation:

Answer:

30-35 minutes

Step-by-step explanation:

Answer: 54 cm

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Perimeter of a square = side length x4

Replacing with the values given:

72 = 4 s

Solving for s (side length)

72/4=s

s = 18 cm

Since the side length of the square is the length of each rod, and all the rods have the same length, to obtain the perimeter of the triangle we have to apply:

Perimeter of an equilateral triangle: 3 side length

P = 3 (18 ) = 54 cm

Feel free to ask for more if needed or if you did not understand something.

Answer:

3/10

Step-by-step explanation:

There are 10 sections

Number between 3 and 7 = 4,5,6 = 3 sections

P (number between 3 and 7) = sections between 3 and 7/ total

                                                 =3/10

Answer: 4y -12

Step-by-step explanation:

Let's take this step-by-step:

[tex]-\frac{2}{7}[/tex](-14y + 42)

Distribute the [tex]-\frac{2}{7}[/tex] to -14y and 42

[tex]-\frac{2}{7}[/tex]  * -14y = 4y

[tex]-\frac{2}{7}[/tex] * 42 = -12

We get

4y + (-12)

Simplify this to get:

4y -12

Answer:

x = 4, y =5

Step-by-step explanation:

2x+5y=33.

3x-5y=-13

Add the two equations together to eliminate y

2x+5y=33.

3x-5y=-13

-------------------

5x = 20

Divide by 5

5x/5 = 20/5

x = 4

Now find y

2x + 5y = 33

2(4) +5y = 33

8+5y = 33

Subtract 8 from each side

8+5y-8 = 33-8

5y = 25

Divide each side by 5

5y/5 = 25/5

y = 5

Answer:

b) is correct 120π square units

Step-by-step explanation:

The sector that is not shaded froms a 300 degree angle. The area of that sector and its angle are proportional with the area of the entire circle and its angle, which is 360 degrees.

We start by computing the area of the circle. Since the radius is 12 units, then the area of the circle is 12² * π = 144π square units. Therefore, the area of the non shaded area is

144π * 300/360 = 120π square units

as option b) suggests.

Answer:

C. 120pi units^2

Step-by-step explanation:

Just took the Unit Test on Edg (2021)!!

Answer:

Step-by-step explanation:

Givens

From these statements, we can deduce algebraical expressions to solve the problem. Let's call [tex]q[/tex] quarters, [tex]n[/tex] nickels and [tex]d[/tex] dimes.

[tex]q=n+8[/tex] (8 more quarters than nickels)

[tex]d=4n[/tex] (he has four times as many dimes as he has nickels).

[tex]0.25q+0.05n+0.10d=5.50[/tex] (Max has a total of $5.50, one quartes is $0.25, one nickel is $0.05 and one dime is $0.10).

Let's replace the first two expressions into the third equation

[tex]0.25(n+8)+0.05n+0.10(4n)=5.50\\0.25n+2+0.05n+0.40n=5.50\\0.70n=5.50-2\\n=\frac{3.50}{0.70}\\ n=5[/tex]

There are 5 nickels.

Now, we use this value to find the number of quarters

[tex]q=5+8=13[/tex]

There are 13 quarters.

Also, [tex]d=4(5)=20[/tex]

There are 20 dimes.

Therefore, there are 13 quarters, 5 nickels and 20 dimes.

Answer:

42

Step-by-step explanation:

Answer:

C (6)

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

8.5m

Step-by-step explanation:

The ladder forms a right triangle with legs of 8 and 3, and the ladder is the hypotenuse. Using the Pythagorean Theorem, we get that the ladder is about 8.5 meters long. Hope this helps!

Answer:

≈8.544

Step-by-step explanation:

The Pythagorean theorem says that [tex]a^{2} + b^{2} = c^{2}[/tex], where c is the ladder. Replacing the variables for numbers gives you [tex]3^2 + 8^2 = c^2.[/tex] Simplifying the right side gives you 9+64, or 73. Because [tex]c^2\\[/tex]=73, the answer is [tex]\sqrt{73}[/tex], or ≈8.544. Hope this helps!

Answer:

4425.7

Step-by-step explanation:

Answer:

He will have  $4425.69 in 4 years

Step-by-step explanation:

Notice that the principal p = $4253

The interest (1%) in mathematical terms is given by: 0.01

the time t = 4 years

therefore the formula for these values becomes:

[tex]B=p(1+r)^t\\B=4253\,(1+0.01)^4\\B=4253\,(1.01)^4\\B=4425.68885[/tex]

Which rounded to the decimal place gives:

$4425.69

Answer:

1) 378.1 in²

2) 8.4 m²

Step-by-step explanation:

Area of sector= [tex] \frac{θ°}{360°} \times \pi {r}^{2} [/tex]

1) Area of sector

[tex] = \frac{150°}{360°} \times 3.14 \times {17}^{2} \\ = 378.1 \: in^{2} \\ (nearest \: tenth)[/tex]

2) Area of sector

[tex] \frac{60°}{360°} \times 3.14 \times {4}^{2} \\ = 8.4 \: m^{2} \\ (nearest \: tenth)[/tex]

Answer: I would say it hundredth place

Step-by-step explanation:

Answer:

hundredth place is your answer

please mark my answer as brainlist ✌️

and I am Indian I like to make friends

Answer:

98 degrees

Step-by-step explanation:

Formula for the perimeter of a quarter circle: C = ((pi x 2r) / 4) + 2r

C = ((3.14 + 12) / 4) + 12

C = 3.785 + 12

C = 15.79 meters

Hope this helps! :)

Answer:

C

Step-by-step explanation:

Remember that tan45deg is 1!

It is important to memorize these facts.

Answer:

(D)The first column is labeled x with entries 40, 160, 200. The second column is labeled y with entries 60, 15, 0.

Step-by-step explanation:

The piece-wise function, f(x) is defined as follows:

[tex]f(x)=\left\{\begin{array}{ccc}-\frac{5}{4}x+90 &0\leq x<40\\\\-\frac{3}{8}x+75 &40\leq x\leq 200\end{array}\right[/tex]

[tex]f(0)=-\frac{5}{4}*0+90=90\\\\f(16)=-\frac{5}{4}*16+90=70\\\\f(40)=-\frac{3}{8}*40+75=60\\\\f(120)=-\frac{3}{8}*120+75=30\\\\f(160)=-\frac{3}{8}*160+75=15\\\\f(200)=-\frac{3}{8}*200+75=0[/tex]

Therefore, the table which could represent the function is that which satisfies the points above.

In option D

[tex]\left|\begin{array}{c|c}x&f(x)\\--&--\\40&60\\160&15\\200&0\end{array}\right|[/tex]

The correct option is D

Answer:

D

Step-by-step explanation:

edge2020

Answer:

The Hypotenuse is going to be the longest side of a Right Triangle.

Step-by-step explanation:

Answer:

The equivalent expression should be [tex]3a - 7[/tex] .

Step-by-step explanation:

Solve the expression:

[tex]2(2a-5) - (a -3)[/tex]

[tex]4a - 10 - (a -3)[/tex]

[tex]4a - 10 - a +3[/tex]

[tex]3a -10+3[/tex]

[tex]3a -7[/tex]

So, the answer is [tex]3a -7[/tex] .

Answer:

3a - 7

Step-by-step explanation:

Answer:

x =(8-√28)/-6=4/-3+1/3√ 7 = -0.451

x =(8+√28)/-6=4/-3-1/3√ 7 = -2.215

Step-by-step explanation:

Rearrange

Step  1  :

Equation at the end of step  1  :

 (-8x - 1) -  (3x2 +  2)  = 0

Step  2  :  See below

Step  3  :  See below

Pulling out like terms :

3.1     Pull out like factors :

Trying to factor by splitting the middle term

Step  4  :

Parabola, Finding the Vertex

Solve Quadratic Equation by Completing The Square

Answer:

x =(8-√28)/-6=4/-3+1/3√ 7 = -0.451

x =(8+√28)/-6=4/-3-1/3√ 7 = -2.215

Hope this helps.

Answer:

-39

Step-by-step explanation:

||u|| = sqrt(5² + (-12)²)

= sqrt(25 + 144)

= sqrt(169)

= 13

||cu|| = c ||u||

c = -3

c ||u|| = -3 × 13 = -39

Answer:

-39

Step-by-step explanation:

The magnitude of a vector is given by

|| u|| = sqrt( x^2 + y^2)

       = sqrt( 5^2 + (-12)^2)

       = sqrt(25+144)

      = sqrt(169)

     = 13

We are then multiplying by a scalar

||cu|| = -3*13 = -39

Answer:

The missing dimension, radius = 6.00 m

Step-by-step explanation:

We are given the following things:

Height of cylinder, [tex]h[/tex]  = 15 m

Radius of cylinder, [tex]r = z[/tex] m (Labelled as [tex]z[/tex])

Volume of cylinder, [tex]V = 1696.5\ m^{3}[/tex]

Please refer to the image attached for the dimensions of cylinder as given.

We know that the volume of a cylinder can be given as:

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

Where [tex]r[/tex] is the radius of cylinder

[tex]h[/tex] is the height of cylinder

Putting the values of [tex]V, r \text{ and } h[/tex]:

[tex]1696.5 = \pi z^{2} \times 15\\\Rightarrow z^{2} = 36.01\\\Rightarrow z = 6.00\ m[/tex]

Hence, The missing dimension, radius = 6.00 m

Answer:

There are 29 chickens and 19 sheep.

Step-by-step explanation:

Samantha has chickens and sheep on her farm.

Let the number of chickens be c.

Let the number of sheep be s.

Each chicken has one head and each sheep has one head.

She looked out one day and counted 48 animal heads. Each chicken has one head and each sheep has one head.

This means that the number of chickens and sheep add up to 48:

c + s = 48 ____________(1)

She also counted 134 legs. Each chicken has one head and each sheep has one head. This means that:

2c + 4s = 134 ________(2)

From (1),

c = 48 - s ____________ (3)

Put (3) in (2):

2(48 - s) + 4s = 134

96 - 2s + 4s = 134

Collecting like terms:

2s = 134 - 96

2s = 38

s = 38 / 2 = 19

Putting this back in (3):

c = 48 - 19

c = 29

There are 29 chickens and 19 sheep.

Answer:

Limit does not exist at x=3.

Step-by-step explanation:

Using the given graph, we need to check whether the limit exists or not.

From the given graph it is clear that

1. When x approaches to 3 from the left side then function approaches to -1.

2. When x approaches to 3 from the right side then function approaches to -3.

3. When x=3, the value of function is 7.

So, we conclude that

[tex]LHL=\lim\limits_{x\to 3^-}f(x)=-1[/tex]

[tex]RHL=\lim\limits_{x\to 3^+}f(x)=-3[/tex]

[tex]\lim\limits_{x\to 3}f(x)=7[/tex]

Since [tex]LHL\neq RHL[/tex], therefore the limit does not exist at x=3.

Answer:

57.8325

Step-by-step explanation:

74=128% x whole

74/128%= whole

57.8125=price if the present

Answer:

Option (D)

Step-by-step explanation:

Formula for Volume of a cube:

[tex]V=a^3\\a-\text {side measure}[/tex]

The side measure for this cube is 13cm.

[tex]V=13^3\\13^3=13*13*13 = 2197\\\boxed {V=2197}[/tex]

Option D should be the correct answer.

Brainilest Appreciated.

Answer:

Step-by-step explanation:

If x and y are proportional, it means that the ratio of x to y will always be constant value for each of the given ratios. Each ratio would be simplified by converting to decimals. Considering and converting each of the given ratios to decimal, it becomes

3.25/2.5 = 1.3

5.98/4.6 = 1.3

6.76/5.2 = 1.3

The constant value from the given ratios is always 1.3. Therefore, we can conclude that x and y are proportional.