Instructions: Find the length of the missing sides. Round your answers to the nearest tenth. (Hint: Always
make sure to label your triangle first with your reference angle)

Answer:

1.08*10^11

Step-by-step explanation:

how many more it means you need to subtract :

in year 1965 : 7.2*10^10

in 1995 :1.8*10^11

(1.8*10^11)-(7.2*10^10)

18*10^10-(7.2*10^10)=

10.8*10^10 or 1.08*10^11

Answer:

centre = (-5, -4)

radius = 7.42

Step-by-step explanation:

The general form for center-radius is

(x - h)² + (y - k)²= r²

Center = (h, k)

Radius = r

Rearrange the equation.

(x² + 10x) + (y² + 8y) - 14 = 0

Add 14 on both sides.

(x² + 10x) + (y² + 8y) = 14

(10/2)² = 25

(8/2)² = 16

Add 25 and 16 to both sides.

(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16

Factor left side of the equation.

(x+5)² + (x+4)² = 55

(55) = (7.416198)²

(x+5)² + (x+4)² = 7.42²

The radius is 7.42.

The centre is at (-5, -4).

Answer:

D. 1

Step-by-step explanation:

Step 1: Find g of f(x)

g(f(x)) = (x²) - 3

Step 2: Plug in -2 as x

g(f(x))(-2) = (-2)² - 3

g(f(x))(-2) = 4 - 3

g(f(x))(-2) = 1

Answer:

Table 2.

Step-by-step explanation:

Input x as 0, the output y should be 4.

y = -2(0) + 4

y = 0 + 4

y = 4

Input x as 1, the output y should be 2.

y = -2(1) + 4

y = -2 + 4

y = 2

Input x as 2, the output y should be 0.

y = -2(2) + 4

y = -4 + 4

y = 0

Answer:

16 tricycles

Step-by-step explanation:

First, let's make a chart:

Bicycles- x bicycles and 2x wheels

tricycles- y tricycles and 3x wheels

Four wheeled vehicles- 2 bikes (given), 8 wheels

Since the total amout of bikes is 40, that means that x+y+8=40

You can simplify that to x+y=38.

now, we're going to form another equations dealing with the number of wheels.

Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92

Solve the system of equations:

2x+3y=92

x+y=38

y will be 16

An equation is formed of two equal expressions. There are a total of 16 tricycles.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the total number of bicycles be represented by x, while the total number of tricycles is represented by y.

The total number of vehicles is 40. Therefore, we can write the equation as,

x + y + 2= 40

x + y = 38

Solving the equation for x,

x = 38-y

Also, given that the total number of wheels is 100, also, the number of four-wheelers is 2. Therefore, the total number of wheels can be written as,

2x + 3y + 2(4) = 100

2x+ 3y = 92

Substitute the value of x from the above equation,

2(38 - y) + 3y = 92

76 - 2y + 3y = 92

y = 16

Hence, there are a total of 16 tricycles.

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Answer:

H=40

Step-by-step explanation:

3H+20+H=180

4H +20 = 180

4H = 180 - 20

4H = 160

H = 160/4

H = 40

I solved it Step-by-step hoping this helps u to understand it.. Good Luck

Answer:

x = √21.

Step-by-step explanation:

Triangles ADB and BCD are similar.

So their corresponding sides are in the same ratio:

x / 7 = 3 / x

x^2 = 21

x = √21.

Answer:

x = 11º

Step-by-step explanation:

1. Notice Parallel Lines

2. Understand Angle Relationships When Parallel Lines Are Present (e.g., alternate interior/exterior)

3. ∠CAB ≅ ∠DCA ∴ m∠CAB = 33º

4. Use exterior angle theorem: the sum of non-adjacent angles of the same triangle which the exterior angle is drawn is equal to the measure of that angle.

5. Therefore write and solve the equation 2x + 33º (sum of non-adjacent interior angles) = 5x (exterior angle).

Answer:

11 degrees

Step-by-step explanation:

Ur welcome

Answer:

A = 225 pi cm^2

Using 3.14 for pi

A =706.5 cm^2

Using the pi button for pi

A =706.8583471 cm^2

Step-by-step explanation:

The area of a circle is

A = pi r^2

A = pi (15)^2

A = 225 pi cm^2

Using 3.14 for pi

A =706.5 cm^2

Using the pi button for pi

A =706.8583471 cm^2

Answer:

225π cm^2, 706.5 cm^2, 706.858... cm^2

Step-by-step explanation:

The area of a circle can be found using the following equation:

[tex]a=\pi r^2[/tex]

We know the radius is 15 cm, so we can substitute 15 cm in for r.

[tex]a=\pi (15cm)^2[/tex]

1. In terms of pi

To find the area in terms of pi, evaluate everything possible without multiplying by pi.

Evaluate the exponent.

[tex]a=\pi (15cm)^2[/tex]

15cm^2= 15 cm * 15 cm = 225 cm^2

[tex]a=\pi * 225 cm^2[/tex]

This can be rewritten as:

[tex]a=225\pi cm^2[/tex]

2. Using 3.14 for pi

Substitute 3.14 in for pi.

[tex]a=\pi (15cm)^2[/tex]

[tex]a=3.14*(15cm)^2[/tex]

[tex]a=3.14*225 cm^2[/tex]

Multiply

[tex]a=706.5 cm^2[/tex]

3. Using 3.14159265.... as pi

[tex]a=\pi (15cm)^2[/tex]

[tex]a=\pi *225 cm^2[/tex]

Multiply, using the pi button on a calculator

[tex]a=706.858346 cm^2[/tex]

Answer: 3

Step-by-step explanation:

Pretend A is just three, B is just 4, and C is just 5.

3(3)-4(4)+2(5)

9-4(4)+2(5)

9-16+2(5)

9-16+10

-7+10

3

Answer: +3

Explanation: Start by plugging in the appropriate values for a, b, and c.

You might also want to change the -4b

to plus a negative 4b to avoid confusion.

Also, use parenthses when substituting numbers in for variables.

So we have 3(3) + -4(4) + 2(5).

Once you have plugged in your numbers, first multiply,

and then add from left to right.

So we have (9) + (-16) + (10).

Now add to get (-7) + (10) which is +3.

Answer: 2 <= X <= 5

Step-by-step explanation:

Answer: 2 <= X <= 5

Step-by-step explanation:

Given that a factory can work its employees no more than 5 days a week, that is, less than or equal to 5 days.

And no less than 2 days per week. That is, greater than or equal to 2 days.

Let X be the number of days employee can work. Then, according to the first statement, X <= 5 and according to the second statement, X >= 2

An inequality to represent the range of days an employee can work will be

2 <= X <= 5

Therefore, an employee can work for 2 days, 3 days, 4 days and 5 days

Answer:

0

Step-by-step explanation:

Given the points J (1,-10) and K (7, 2)

From the section formula

[tex](x,y)=\left(\dfrac{mx_2+nx_1}{m+n}, \dfrac{my_2+ny_1}{m+n}\right)[/tex]

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is obtained using the formula:

[tex]y=\dfrac{my_2+ny_1}{m+n}\\m=5, n=1, y_1=-10, y_2=2\\Therefore:\\y=\dfrac{5*2+1*-10}{5+1}\\=\dfrac{10-10}{6}\\=0[/tex]

The y-coordinates of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.

The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.

If a point O(x, y) divides the line segment AB with end points A(x₁, y₁) and B(x₂, y₂) in the ratio n:m, the coordinate of O is:

[tex]x=\frac{n}{n+m} (x_2-x_1)+x_1\\\\y=\frac{n}{n+m} (y_2-y_1)+y_1[/tex]

Let O(x, y) represent the point dividing J to K in the ratio 5 : 1. K(7,2) and J(1, -10)Hence:

[tex]y=\frac{5}{5+1}(2-(-10)) + (-10)=0[/tex]

The y coordinate of the point that divides J to K in the ratio 5 : 1 is 0.

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Answer:

he have 40 pencils because it's need to double it.

Answer:

4 pencils

Step-by-step explanation:

17-5=12

12÷3=4

Answer:

0.73

Step-by-step explanation:

The decimal 0.73 is already in decimal form.

Answer:

73/100

Step-by-step explanation:

I put it down as 100

So 73/100 is the answer

Answer:

b

Step-by-step explanation:

Let's find the area of the adjacent side.

Applying Pythagoras' Theorem,

(adjacent side)²= 18² -9²

adjacent side[tex] = \sqrt{243} [/tex]

adjacent side= 15.588 m (5 s.f.)

Area of triangle= ½ ×base ×height

Area of traingle

[tex] = \frac{1}{2} \times15.588 \times 9 \\ = 70.1m \: (nearest \: tenth)[/tex]

The nearest answer is B.

*If you rounded of to the nearest tenth for the adjacent side first then use the formula for area of traingle, the result would be exactly 70.2 m.

Answer:

The answer above me is correct

Step-by-step explanation:

Answer:

[tex]Probability = \frac{6}{29}[/tex]

Step-by-step explanation:

Given

------------------------------Has a brother | Does not have a brother

Has a sister --------------------------- 6 ----------------- 8

Does not have a sister  -----------2 ------------------ 13

Required

Probability of having a sister and a brother

First, the total number of students has to be calculated;

Total = 6 + 2+ 8 + 13

Total = 29

Number of students that have a sister and a brother is represented with data in row 1 and column 1 i.e. 6

At this point, the probability can then be calculated;

Probability = Number of students that have a sister and a brother divided by Total number of students

[tex]Probability = \frac{6}{29}[/tex]

Answer:

a = 95

Step-by-step explanation:

a+ 35+ 50 = 180

Combine like terms

a+ 85 = 180

Subtract 85 from each side

a+85-85 = 180-85

a = 95

Answer:

the answer is 1

Step-by-step explanation:

you convert 1/2 to a decimal, 0.5, then subtract. 0.75 and 0.25 to get 0.5, and when you add those two it equals one.

Answer:

It would equal 1

Step-by-step explanation:

Convert 1/2 to 0.5 then it would be easier to solve.

0.75-0.25=0.5

0.5+0.5=1

Hope this helps!

Answer:

ax² + bx + c

Step-by-step explanation:

The form of a quadratic equation that is easy to use when finding the maximum or minimum value of the function is ax² + bx + c.

Suppose a quadratic function:

f(x) = 2x² - 8x + 9

Use ( -b/2a ,  f(-b/2a) ).

-b/2a

a = 2

b = -8

-(-8)/2(2)

8/4

= 2

f(2) = 2(2)² - 8(2) + 9

f(2) = 2(4) - 8(2) + 9

f(2) = 8 - 16 + 9

f(2) = 1

The minimum value of this quadratic function is (2, 1).

It represents a minimum value because a > 0.

Answer:

Vertex form

Step-by-step explanation:

There are several forms of the quadratic equation

Standard form: y = ax^2 + bx + c which is useful for the quadratic equation and the axis of symmetry

Factored form: y = (ax - c)(bx - d)   which will give us the zeros

and

Vertex form: y = a(x - h)2 + k where ( h,k) is the vertex

The maximum and minimum would be the value of k

It would be maximum when a >0 and minimum when a<0

Answer:

t=   2

Step-by-step explanation:

5t - 30t + 50 =0

-50                  -50

5t - 30t  =-50

-25t   = -50

÷-25    ÷-25

t=   2

Answer:

t = 2

Step-by-step explanation:

5t - 30t + 50 = 0

-25t = -50

t =  -50/-25

t = 2

Answer:

$105

Step-by-step explanation:

150 times 0.7 is equal to 70% of 150

70% of 150 is 105

105 is the reduced price

Answer:

The midpoint is (2.5, 3.5)

Step-by-step explanation:

The midpoint is the average of the coordinates

x = (x1+x2)/2  and y =(y1+y2)/2

x = (2+3)/2 = 5/2 = 2.5

y = (3+4)/2 = 7/2 = 3.5

The midpoint is (2.5, 3.5)

Answer:

(2.5, 3.5)

Step-by-step explanation:

The midpoint is found by taking the average of the x-coordinates and the average of the y-coordinates.

Here, the average of the x-coordinates is (2 + 3)/2 = 5/2 = 2.5.

The average of the x-coordinates is (3 + 4)/2 = 7/2 = 3.5.

The answer is thus (2.5, 3.5).

~ an aesthetics lover

Answer:

The half life of Pa-234 is approximately 0.0701656609 days

Step-by-step explanation:

The formula for half life is calculated as:

t½ = t.In(2)/In(No/Nt)

Where:

t½ = Half life of the substance in days

t = Time elapsed in days

No = Beginning amount

Nt = End Amount

In the question,

t = Time elapsed = 10 days

No = Beginning amount = 5.14 × 10²²

Nt = End Amount = 6.43 × 10²¹

t½ = t.In(2)/In(No/Nt)

t½ = 10.In(2)/In(5.14 × 10²²/6.43 × 10²¹)

t½ = 6.9314718056/98.78723754

t½ = 0.0701656609 days

The half life of Pa-234 is approximately 0.0701656609 days

Answer:

Choice D 7/26

Step-by-step explanation:

So first let's count how many face cards there are. We have a Jack, a Queen, and a King in all of the 4 sets of cards. This knowledge tells us that we have 12 face cards out of the 52 cards.  Then, we have 2 red sixes in the game.  These come from the 6 of hearts and the 6 of diamonds.  This makes the new total of the cards we want to draw 12+2=14. Then we now have the fraction 14/52.  After simplifying we get the answer 7/26 is our probability (choice D)

Answer:

7/26

Step-by-step explanation:

52 cards

Jacks , queens, kings are face cards =

3 per suit *4 suits = 12 cards

2 red sixes = 2

P (red 6 or face cards ) = red 6 or face cards / total

                                    = (12+2) / 52

                                     = 14/52

                                     = 7/26

Answer:

A. and C. are true i think :/

Step-by-step explanation:

im not 100% sure though but again, good lucks!

Answer:

Reflexive property

Step-by-step explanation:

Answer:

x>=16

Step-by-step explanation:

Let's subtract 17 from each side!

17 + x>=33

-17          -17

This gets us x>=16

Answer: B.

x≥16

Step-by-step explanation:

17+≥33

subtract 17 on both sides

x≥16

Answer:

90m

Step-by-step explanation: