Name two pairs of congruent angles

Answer:

if p=12 then it is 1

Step-by-step explanation:

you first have to know how much p represents so that you can then verify what your dividing 12 into.

Answer:

74.1 minutes is the answer

The volume of the triangular prism will be 400 cubic feet.

Given that:

Width, W = 15 feet

Height, h = 8 feet

Base length, b = 6²/₃ feet

Volume is a measurement of three-dimensional space that is utilized. The concept of length is linked to the notion of capacity.

The volume of the triangular prism is calculated as,

V = 1/2 · b · h · W

V = 0.5 · 6²/₃ · 8 · 15

V = 400 cubic feet

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I'm glad I could help you with the assignment

Answer:

x=60 degrees

Step-by-step explanation:

All triangles equal to 180 degrees. 180-30=150-90=60

The mean monthly rainfall, Rounded to the nearest thousandth, is 2.520 inches.

To determine the mean monthly rainfall, we need to calculate the average of the rainfall values provided in the table. Here is the table:

| Month | Rainfall (in inches) |

|-------|----------------|

| January   | 2.3                

| February  | 1.7                

| March     | 3.2                

| April     | 2.9                

| May       | 2.5                

To find the mean monthly rainfall, we add up the rainfall values for each month and divide the sum by the total number of months. In this case, we have five months:

Mean Monthly Rainfall = (2.3 + 1.7 + 3.2 + 2.9 + 2.5) / 5

Calculating the sum of the rainfall values:

Mean Monthly Rainfall = 12.6 / 5

Dividing the sum by the number of months:

Mean Monthly Rainfall = 2.52

Rounded the result to the nearest thousandth, the mean monthly rainfall is approximately 2.520 inches.

Therefore, the mean monthly rainfall, rounded to the nearest thousandth, is 2.520 inches.

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Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

n + 9 = 14

=> n + 9 - 9 = 14 - 9. [For isolating the variable we subtract 9 from both sides]

=> n = 5 (Ans) [ Variable isolated]

The solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

The similar symbol (=) is used in arithmetic equations to signify equality between two statements. It is shown that it is possible to compare various numerical factors by applying mathematical algorithms, which have served as expressions of reality. For instance, the equal sign divides the number 12 or even the solution y + 6 = 12 into two separate variables many characters are on either side of this symbol can be calculated. Conflicting meanings for symbols are quite prevalent.

Part A:

Given:

To find an equation,

Where x is number of monthly minutes.

and y is total monthly of splint plan.

So, equation is:

\(\rightarrow \text{y} =\text{mx} +\text{b}\)

For the first case:

\(\rightarrow\bold{173 = 380x + b}\)

Second case:

\(\rightarrow\bold{249= 570x + b}\)

Solve for x:

\(\rightarrow{173 - 380\text{x}=249- 570\text{x}\)

\(\rightarrow{-207=-321\)

\(\rightarrow \text{x} =\dfrac{321}{207}\)

\(\rightarrow \text{x} =\dfrac{107}{69}\)

\(\rightarrow \text{x} \thickapprox1.55\)

For value of b

\(\rightarrow 173 = 380(1.55) + \text{b}\)

\(\rightarrow 173 - 589 = \text{b}\)

\(\rightarrow -416 = \text{b}\)

Part B:

\(\rightarrow \text{y} = 942(1.55) - 416\)

\(\rightarrow \text{y} = 1460.1 - 416\)

\(\rightarrow \text{y} \thickapprox1044\)

Therefore, the solution of the given problem of equation comes out to be total cost for 942 minutes is $1044.

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Answer:

\(y - 4 = - 3(x - 2)\)

Answer:

\((4x+5)(x-3)\)

Step-by-step explanation:

We can separate this expression into two parts: \(4x^2-12x\) and \(5x-15\).

We can first take the first part and factor out 4x, getting \(4x(x-3)\).

We can then take the second part and factor out 5, getting \(5(x-3).\)

Now when we put these parts together, they make \(4x(x-3)+5(x-3)\\\).

The last step is to factor \((x-3)\) to get \((4x+5)(x-3)\).

Answer: 5/8

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

1/4=2/8

2/8+3/8=5/8

Answer:

48.37 degrees

Step-by-step explanation:

c = AB = sqrt((9-7)² + (2-7)²) = sqrt(4+25) = sqrt(29)

b = AC = sqrt((5-7)² + (3-7)²) = sqrt(4+16) = sqrt(20)

a = BC = sqrt((5-9)² + (3-2)²) = sqrt(16+1) = sqrt(17)

A = angle at A

B = angle at B

C = angle at C

cos(A) = (b²+c²-a²)/(2bc) = (20+29-17)/2sqrt(20)sqrt(29) =

= 32/48.16637832... = 0.664363839...

A = acos(0.664363839...) = 48.366461... degrees

2) They tοgether will take 10.9 hours οr 120/11

3) jοsh will take 21/11 hrs οr 1.9 hrs

4) Tοgether they will take 36/13 οr 2.8 hrs

The place values οf the digits in a decimal number are displayed οn the decimal place value chart. We knοw that a digit in a number represents a numerical value οr place value.

Decimal place value charts are used tο determine the prοper placement οf each digit in a decimal number.

A decimal number cοnsists οf a whοle number and a fractiοnal cοmpοnent, separated by the decimal pοint, a dοt.

Fοr instance, the decimal number 4.37 has twο parts: an actual number pοrtiοn οf 4 and a fractiοnal pοrtiοn οf 37.

Sοlutiοns tο the abοve prοblem

2) Tοm takes = 12 hrs

Huck takes= 10hrs

We can aply unitary methοd

tοgether they will take= 1/12+1/10=2/t

11t=120;

t=120/11 οr 10.9 hrs

3) Tοgether Kim and jοsh can clean the hοuse tοgether in = 3 hrs

Kim takes = 7hrs

Jοsh will take= 1/7+1/x=2/3

3x+21=14x

21=11x

x=21/11 οr 1.9 hrs

4) Jack makes baseball grοunds in= 2 hrs

Mike takes= 3 hrs

Chris takes= 4 hrs

Tοgether they will take= 1/2+1/3+1/4=3/x

13x=36

x=36/13 οr 2.8 hrs

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Parent function = √x

On stretching vertically by factor of 6

New function G(x) = 6√x

Answer:

S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:

(3,p): The first element is 3 and the second element is p.

(3,0): The first element is 3 and the second element is 0.

(4,q): The first element is 4 and the second element is q.

(1,4): The first element is 1 and the second element is 4.

Answer:

3 : 15 : 2

Step-by-step explanation:

Let cranberry juice = x,

3/4 + 1/10 + x = 1

x = 3/20

Ratio = cranberry : apple : orange

= 3/20 : 3/4 : 1/10

= 3 : 15 : 2 (Times everything with 20)

A line that crosses a circla at two points is called a secant line.

Answer:

-2(n+1)

Step-by-step explanation:

g(x)= x-2

g(-2n)=(-2n)-2

=-2n-2

=-2(n+1).

Answer:

18

Step-by-step explanation:

Area of a triangle: 0.5 x base x height

In this case: 0.5 x 9 x 4

hope this helps

have a good day

Answer:

Area =  18

Step-by-step explanation:

Formula

b*h /2

so

9 *4 /2

= 18

1) Polynomial of 4 terms.

2) The rational roots of the function are,

x = - 2, 1

3) The zeroes of the function are,

x = - 2, - 3, 2

4) The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) The correct function which shows the cubic equation is, option 1.

We have to given that;

1) Function is,

⇒ 3x⁵ + 5x⁴ - 7x³ + 15

Clearly, There are 4 terms in function.

Hence, Polynomial of 4 terms.

2) Function is,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

The correct rational roots are satisfy the function,

Hence, We get;

Plug x = 1,

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 1⁴ + 5(1)³ + 7 (1)² - 3(1) - 10 = 0

⇒ 0 = 0

Plug x = - 2;

⇒ x⁴ + 5x³ + 7x² - 3x - 10 = 0

⇒ 2⁴ + 5(2)³ + 7 (2)² - 3(2) - 10 = 0

⇒ 0 = 0

Thus, The zeroes of the function are,

x = - 2, 1

3) Function is,

⇒ y = (x + 3) (x + 2) (x - 2)

Hence, The zeroes of the function are,

x = - 3

x = - 2

x = 2

4) Function is,

⇒ 3x² - 4 = - x⁴

⇒ x⁴ + 3x² - 4 = 0

⇒ x⁴ + 4x² - x² - 4 = 0

⇒ x² (x² + 4) - 1 (x² + 4) = 0

⇒ (x² - 1) (x² + 4) = 0

⇒ x² - 1 = 0

⇒ x² = 1

⇒ x = ±1

⇒ x² + 4 = 0

⇒ x² = - 4

⇒ x = ±2i

Hence, The zeroes of the function are,

x = 1, - 1, 2i, - 2i

5) By given graph the  correct function which shows the cubic equation is, Option 1.

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Answer:

1231.50432021 cm³

Step-by-step explanation:

Use the formula:

\(\frac{1}{3} \pi r^{2} h\)

And replace known values:

\(\frac{1}{3} \pi (7^{2})(24)\)

Aaaand simplify:

\(\frac{1}{3}*1176 \pi\)

Which gives approximately:

\(1231.50432021\)

And don't forget to put the unit (cm³)!

Answer:

1230

Step-by-step explanation:

1/3*pi*7^2*24

1/3*pi*49*24

=1230

Answer:

360

Step-by-step explanation:

Answer:

D, y=3/4x-2

Step-by-step explanation:

The d formula for writing a slope equation is y=mx+b. m is 3/4 and b is -2. x and y can remain as variables When you substitute the formula, you get y=3/4x-2.

The length of Marisa's garden is 10

The given parameters are:

Perimeter = 32 feet

Width = 6 feet

The perimeter is calculated as:'

Perimeter = 2 * (Length + width)

So, we have

2 * (Length + 6) = 32

Divide by 2

Length + 6 = 16

Subtract

Length = 10

Hence, the length of Marisa's garden is 10

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Answer:

Step-by-step explanation:

Step one:

given that the first 3 hours the train travels at a speed of 45 mph.

i.e Time = 3 hours

    speed =45 mph

    distance=?

we know that speed = distance/time

distance= speed*time

distance= 45*3

distance=135miles

Step two:

For the nex two hours it travels at 55 mph

i.e time= 2hours

   speed= 55mph

  distance=?

distance= speed*time

distance= 2*55

 distance= 110mile

Step three:

Hence for a total of 5 hours drive, the total distance covered is

135+110= 245miles

Answer:

The entire clock measures 360 degrees. As the clock is divided into 12 sections. The distance between each number is equivalent to 30 degrees (360/12)

I hope this helps you!

Answer:

Given Figure has set of Stacked cubes.

To Draw the Base Plan, lets see its right side, Left Side and Front side view.

Right side:

It has 3 cubes in base.

2 cubes in 2nd layer clearly seen in figure and only 1 cube in 3rd layer.

Left Side:

It has 2 Cubes in base.

Both Cubes attached to 1st and 2nd cube of right side cubes.

Front Side:

It can be seen that, here base only has 2 rows of cubes.

Therefore,  1st Figure is correct Base Plan (or enclosed figure)

Note: Numbers in enclosed figure just shows the total no. of cubes in that stack.

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