solve for the missing sidebof the triangle shown in the figure​

Answer:

Approximately 0.0121 will be left after 15 days.

Step-by-step explanation:

We can write an exponential function to model the situation. The standard exponential function is given by:

[tex]y=a(b)^x[/tex]

Let x represent the amount of days. Since the initial amount is 3,820 pounds, a = 3820. It decays at a rate of 57% per day. So, after one day, it will only have 100% - 57% = 43% or 0.43 of its previous amount. So, b = 0.43.

Hence, our function is:

[tex]y=3820(0.43)^x[/tex]

After 15 days, x = 15. Substitute and evaluate:

[tex]y(15)=3820(0.43)^{15}\approx 0.0121\text{ pounds}[/tex]

Let a,b,c,d and e are five numbers

mean = (a +b+ c+ d+e)/5 = 30

⇒ (a +b+ c+ d+e) = 150_______(1)

now, Let the number excluded be a

then, new mean =  (b+ c+ d+e)/4 = 28

⇒ (b+ c+ d+e)= 112

putting this value in (1),

⇒a + 112 = 150

⇒a = 150 -112 = 38

excluded number = 38

Answer:

48 years old

Step-by-step explanation:

a + w = 62

a+3 = 3(w+3) =>a+3=3w+9

=> a-3w = 6

a+ w = 62

a- 3w= 6

________-

4w = 56

w = 14

so, the Aini's age now is 62-14 = 48 years old

semoga membantu

Step-by-step explanation:

answer is in photo above

Step-by-step explanation:

5x + 3 = x + 11

4x=8

x=2

!!!!!

[tex]5x + 3 = x + 11 \\ 5x + 3 - x = 11 \\ 4x + 3 = 11 \\ 4x = 11 - 3 \\ 4x = 8 \\ x = \frac{8}{4} \\ x = 2[/tex]

Answer:

perpendicular

Step-by-step explanation:

start but putting each line into the standard line format

2x-y=-5

-y=-2x-5

y=2x+5

x+2y=-6

2y=-x-6

y=-(1/2)x-3

if lines are parallel the slopes would be the same. 2 is not equal to -1/2

if lines are perpendicular the slope of one would be the opposite inverse of the other.

negative inverse of 2 = - (1/2)

so the lines are perpendicular

Answer:

yes it is correct

Step-by-step explanation:

option 1  

Answer:

Your answer is correct! 9:1

Step-by-step explanation:

Old Area = side x side

? = 2 x 2

     4cm

New Area-

Step 1: Triple the sides

2 x 3 = ?

    6cm

Step 2: Find the area

6 x 6 = ?

  36cm

The ratio of the new area to the old area is:

                     36 : 4

But wait! You can simply it!

36 / 4 = 9

4 / 4 = 1

So the new ratio would be:

                     9 : 1

Hope this helps!

Good Luck!

:)

Answer:

B

Step-by-step explanation:

that is a linear equation, therefore it makes a line, eliminating choices C and D.

Lines can literally Any x or y. So it would be B, a set of all the solutions to the equations.

Answer:

In 10 hours, the population is 6050 bacteria. In 20 hours, the population is 732050 bacteria.

Step-by-step explanation:

Bacterial populations can be assumed to grow exponentially. In 5 hours, since the population will have multiplied by 11, in 10 hours it will have multiplied by 121 (11^2) and by 14641 (11^4).

50 * 11 * 11 = 6050

50 * 11 * 11 * 11 * 11 = 732050

Answer:

Step-by-step explanation:

550 = 50 [tex]x^{5}[/tex]

11 =   [tex]x^{5}[/tex]

ln(11) = 5 ln(x)

x = [tex]e^{ln(11)/5}[/tex]

x = 1.615

10 hours ....

A= 50 ([tex]1.615^{10}[/tex] )

A= 50 ([tex]1.615^{10}[/tex] )

A=6050

20 hours ....

A= 50 ([tex]1.615^{20}[/tex] )

A= 50 ([tex]1.615^{20}[/tex] )

A=732,050

Answer:

P = 2x +2y + 14

Step-by-step explanation:

The perimeter of the rectangle is 2x + 2y + 14.

The perimeter of an object is calculated by adding the sides length of the objects.

Given that, the length and width of a rectangle is x+8 and y-1, we need to find the perimeter,

P = 2(length + width)

P = 2(x+8+y-1)

P = 2(x+y+7)

P = 2x+2y+14

Hence, the perimeter of the rectangle is 2x + 2y + 14.

Learn more about perimeter, click;

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Answer:

Step-by-step explanation:

Surface area:

Volume:

Answer:

> V = 217.68 cm³

> S = 227.14 cm²

Step-by-step explanation:

We are required to find the surface area and the volume of the given figure . This question is from Combination of solids . As we can see that this figure is made up of a cuboid and cylinder.

Firstly let's find out the volume .

> V = V_( cuboid) + V_(cylinder)

> V = 9cm × 4cm × 5cm + π × ( 2cm)²× 3cm

> V = 180 cm³ + 3.14 × 4cm² × 3cm

> V = 180 cm³ + 37.68 cm³

> V = 217.68 cm³

Lets find the surface area :-

> S = S_( cuboid) + S_( cylinder) - πr²

> S = 2( 9×4 + 4× 5 + 5×9) cm² + 2×π×2cm × 3cm - 3.14 × (2cm)²

> S = 239.7 cm² - 12.56 cm²

> S = 227.14 cm²

Note :-

Answer:

[tex]y = \sqrt{900 - x^2[/tex]

Step-by-step explanation:

Given

From the complete question, we have:

[tex]r=30[/tex] --- radius

Required

Expression for the height of the roller coaster

We have:

[tex]x^2 + y^2 = r^2[/tex] --- equation of circle

Substitute 30 for r

[tex]x^2 + y^2 = 30^2[/tex]

[tex]x^2 + y^2 = 900[/tex]

Since the roller coaster is half of the circle, the height is defined by y.

So: make y the subject

[tex]y^2 = 900 - x^2[/tex]

Take square roots

[tex]y = \sqrt{900 - x^2[/tex]

Hence, the height is:

[tex]\sqrt{900 - x^2[/tex]

Jeevan is not correct, the answer could be 4.

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 Jessica's teacher asks a class to find the largest number that is smaller than 4.5.

Since Jessica's friend Jeevan gives the answer 4.4.

Therefore, we can see that 4.4 is not a whole number thus, it isn’t the largest number that is also less than 4.5.

The correct answer could be 4.

More about the Algebra link is given below.

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which expression is equivalent to 6-(-8)

Step-by-step explanation:

the answer is in the above image

Answer:

Empty square = +

Empty Circle = ÷

Step-by-step explanation:

In order to eliminate the extra numbers from the equation you have to do the opposite of the problem. So...

-6x-1=5

-6x -1+1 = 5+1 (eliminating the 1 from the -6x side and adding it to the other side)

-6x = 6

-6x ÷ -6 = 6 ÷ -6 ( eliminating the-6 so that one side just has x)

so... x= -1

Answer: Option B is your correct answer.

Answer:

[tex]\text{d. }106,250\:\mathrm{cm^2},\\\text{e. }38.5\:\mathrm{cm^2},\\\text{a. }85\:\mathrm{ft^2},\\\text{b. }7.89676\:\mathrm{m^2}[/tex]

Step-by-step explanation:

Part D:

The figure shows a parallelogram with base 425 cm and height 250 cm. Its area can be found by [tex]A=bh[/tex] and therefore the area of this shape is [tex]A=425\cdot 250=\boxed{106,250\:\mathrm{cm^2}}[/tex]

Part E:

The figure shows a trapezoid. The area of a trapezoid is equal to the average of its bases multiplied by the height. Since one base is 2 cm and the other base is 9 cm, the average of these bases is [tex]\frac{2+9}{2}=\frac{11}{2}=5.5\:\mathrm{cm}[/tex]. The height is given as 7 cm, therefore the area of the trapezoid is [tex]7\cdot 5.5=\boxed{38.5\:\mathrm{cm^2}}[/tex]

Part A:

The composite figure consists of two rectangles. The area of a rectangle with base [tex]b[/tex] and height [tex]h[/tex] is given by [tex]A=bh[/tex]. The total area of the figure is equal to the sum of the areas of these two rectangles.

Area of first rectangle (rectangle on bottom): [tex]5\cdot 13=65\:\mathrm{ft^2}[/tex]

Area of second rectangle (rectangle on top):

*Since we don't know the dimensions, we must find them. Start by converting 108 inches to feet:

[tex]108\:\mathrm{in}=9\:\mathrm{ft}[/tex]. Therefore, the dimensions of this rectangle are (10-5) ft by (13-9) ft [tex]\implies5\text{ by } 4[/tex] and this rectangle's area is [tex]5\cdot 4=20\:\mathrm{ft^2}[/tex]

Thus, the area of the figure is equal to [tex]65+20=\boxed{85\:\mathrm{ft^2}}[/tex]

Part B:

We've already found the area of the figure in the previous part in square feet. To find the area in square meters, use the conversion [tex]1\text{ square foot}=0.092903\text{ square meter}[/tex].

Therefore, the area of the figure, in square meters, is [tex]85\cdot 0.092903=\boxed{7.89676\:\mathrm{m^2}}[/tex]

Answer:

x = 39.59

Step-by-step explanation:

take 43 degree as reference angle

using sin rule

sin 43 = opposite / hypotenuse

0.682 = 27 / x

x = 27 / 0.682

x = 39 . 589

x = 39. 59

Answer:

y = 1/2x - 6

Step-by-step explanation:

y2 - y1 / x2 - x1

-3 - (-5) / 6 - 2

2/4

= 1/2

y = 1/2x + b

-3 = 1/2(6) + b

-3 = 3 + b

-6 = b

Answer:

4/10=40%

Step-by-step explanation:

Answer:

1: 98

2: 82

3: 98

4: 82

Step-by-step explanation:

So 2 is 82deg then the opposite is also 82 so 4 is 82deg

Then 82+82 = 164deg, and we remain with 360deg-164deg which is = 196.

Since the other two angles will be equal (they are opposite each other) we can decide 196/2 = 98

So 3 and 1 are 98deg

Answer:

Step

<2 and <4 are vertically opposite. They are equal

<2 = 82               Given

<4 =  82              Vertically opposite to a given

<3 = 180 - 82       <3 and <4 are supplementary. They are on the same straight line.

<3 = 98

<1 = 98                 Vertically opposite  angles are equal.

Answer:

A = 9x² + 12x

Step-by-step explanation:

The area (A) of the rectangle is calculated as

A = height × width

  = 3(3x² + 4x) ← distribute parenthesis by 3

   = 9x² + 12x

Answer:

For the blue one:

A1=length*breadth

   =3*3x^2

   =9x^2

For pink:

A2=length*breadth

    =3*4x

    =12x

So the total area is:

A=A1+A2

  =9x^2+12x

$50.00÷7hours=×$

$50.00÷7hours= 7.25

7.25 he charges per hour

Answer:

-6xy²

Step-by-step explanation:

xy² - 2xy² - 5y²x

use commutative property to reorder terms

xy² - 2xy² -5xy²

combine like terms

- xy² - 5xy²

- 6xy²

Answer:

a) is the correct answer.

Given:

The expressions are:

[tex]\sqrt[3]{24},\sqrt{48},\sqrt[3]{54},\sqrt{45}[/tex]

To find:

The simplified form of each expression.

Solution:

We have,

[tex]\sqrt[3]{24}[/tex]

It can be written as:

[tex]\sqrt[3]{24}=\sqrt[3]{2\times 2\times 2\times 3}[/tex]

[tex]\sqrt[3]{24}=2\sqrt[3]{3}[/tex]

Similarly,

[tex]\sqrt{48}=\sqrt{2\times 2\times 2\times 2\times 3}[/tex]

[tex]\sqrt{48}=(2\times 2)\sqrt{3}[/tex]

[tex]\sqrt{48}=4\sqrt{3}[/tex]

And,

[tex]\sqrt[3]{54}=\sqrt[3]{2\times 3\times 3\times 3}[/tex]

[tex]\sqrt[3]{54}=3\sqrt[3]{2}[/tex]

In the same way,

[tex]\sqrt{45}=\sqrt{3\times 3\times 5}[/tex]

[tex]\sqrt{45}=3\sqrt{5}[/tex]

Therefore, the required pairs are:

[tex]\sqrt[3]{24}\to 2\sqrt[3]{3}[/tex]

[tex]\sqrt{48}\to 4\sqrt{3}[/tex]

[tex]\sqrt[3]{54}\to 3\sqrt[3]{2}[/tex]

[tex]\sqrt{45}\to 3\sqrt{5}[/tex]

Answer:

D) X >= to -1

Step-by-step explanation:

Since the dot on -1 is filled in, -1 is included. The arrow points to the right, implying that X is greater than or equal to -1.

It's D)

Because the full circle means "equal to" and it's going towards the right which means it will be greater.