In AIJK, i = 25 inches, j = 46 inches and k=24 inches. Find the measure of ZJ to the nearest degree.​

Answer:

Step-by-step explanation:

I answer for what I understand,

the question is really confused.

(60 + 15) + 3 - 2(4) + 23 =

75 + 3 - 8 + 23 =

78 - 8 + 23 =

70 + 23 =

93

Answer:

Step-by-step explanation:

Add 60 and 15

Cube 2

Divide 75 by 3

Multiply 2 by 4

Subtract 8 and 25

Add 17 and 8

Answer:

13.9

Step-by-step explanation:

First we find the hypotenuse of triangle of BCF. which is 14.3178. Now we have 2 sides of triangle ABF.

\(20^{2}=14.3178^{2}+AB^{2}\) to solve AB

AB is \(\sqrt{195}\) or 13.964

Answer:

2781271 x 89 = 247,533,119

Step-by-step explanation:

hope this helps

Answer:

247533119

hopes this helps

Answer:

x = 5/4

y = 15/16

Step-by-step explanation:

System of 2 equations

Applying substitution method

3/4x = y

5/2x + 2(3/4 x) = 5

5/2 x + 6/4 x = 5

16/4 x = 5

4x = 5

x= 5/4

3/4 * 5/4 = 15/16

Answer:

I think it 31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

3+1=4

4+2=6

6+3=9

9+4=13

13+5=18

18+6=24

24+7=31

you start with one 3+1=4but everytime you add you add an extra 1

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

From the question, we are to determine how much money there are in each box

From the given information,

"Debbie has 340 dimes in three boxes"

Let x represents the number of dimes in the first box

y represent the number of dimes in the second box

and z represent the number of dimes in the third box

Thus,

x + y + z = 340

Also, from the given information

"she says that there are 4 times as many dimes in the first box as in the second"

x = 4y

and

"3 times as many in the third box as in the first"

z = 3x

Substitute the second and third equations into the first equation

x + y + z = 340

4y + y + 3x = 340

4y + y + 3(4y) = 340

4y + y + 12y = 340

17y = 340

y = 340/17

y = 20

Substitute the value of y into the second equation

x = 4y

x = 4(20)

x = 80

Substitute the value of x into the third equation

z = 3x

z = 3(80)

z = 240

Thus,

There are 80 dimes in the first box

80 dimes = 8 dollars

There are 20 dimes in the second box

20 dimes = 2 dollars

There are 240 dimes in the third box

240 dimes = 24 dollars

Hence,

The amount of money in the first box is 8 dollars

The amount of money in the second box is 2 dollars

The amount of money in the third box is 24 dollars

Learn more on Solving equations here: https://brainly.com/question/9553406

#SPJ1

Answer:

Area of the minor segment = 2.505324230749 cm²

Step-by-step explanation:

Area of the minor segment

= Area of the sector ABC - Area of the triangle ABC

……………………………………………………………………………………

• Area of the sector ABC

= Area of the whole circle ÷ 8

= (π×8²) ÷ 8

= 8π

______

•• Area of the triangle ABC

= (1÷2) × CA × CB × sin(45)

= (1÷2) × 8 × 8 × (√2/2)

= 16√2

______

Thus

Area of the minor segment

= 8π - 16√2

= 2.505324230749

Answer:

Step-by-step explanation:

The initial information given is 15 minutes = 6 words.

Divide 100 words total by 6 words for 15 minutes. This will give a number to multiply by.

100÷6 = 16 2/3

There are two ways I did this.

Option 1:

Step 1: Multiply both the 15 minutes and the 6 words by 16.

You get 240 minutes=96 words.

Now you need to make the 6 words to 4 words to get to the 100 words.

Step 2: Divide both sides (the 15 and the 6) by 3, and you get 5 and 2. Multiply both the 5 and the 2 by 2 and get 10 and 4. You want the four to get the 96 to 100.

Add that to the partially finished equation (the bolded and underlined).

(240 minutes + 10 minutes) = (96 words + 4 words) = (250 minutes=100 words)

Another way you could do the second step is to just multiply 2/3 by 15 and 6. Much faster.

Option 2:

Much faster and easier.

Multiply the 15 minutes = 6 words by 16 2/3. Change 16 2/3 to mixed number of 50/3 and then save product to calculator memory for easier way.

15 • 16 2/3 = 250 minutes    6 • 16 2/3= 100

SOLUTION.

We are told to find the volume of a sphere that has a diameter of 4 inches

Let's write the formula first

Volume of a sphere is given as

Answer:

36,552

Step-by-step explanation:

To estimate the product of 481.68 and 76.25 to the nearest whole number, we can round both numbers to the nearest whole number first. 481.68 can be rounded to 482 and 76.25 can be rounded to 76.

Then, we can calculate the product of 482 and 76 to get the estimated result:

482 * 76 = 36,552

Therefore, the estimated product of 481.68 and 76.25 to the nearest whole number is 36,552.

Answer:

36,552

Step-by-step explanation:

To estimate the product of 481.68 and 76.25, you can round each number to the nearest whole number. 481.68 rounds to 482, and 76.25 rounds to 76.

The product of 482 and 76 is approximately 36,552. Therefore, the product of 481.68 and 76.25 is approximately 36,552.

Answer: w = 110°     x = 83°     y = 87°      z = 97°

Step-by-step explanation:

∠(x - 13) and ∠w form a linear pair so their sum is equal to 180°

x - 13 + w = 180        →     w = -x + 193

∠(x + 10) and ∠y form a linear pair so their sum is equal to 180°

x + 10 + y = 180        →    y = -x + 170

∠x  and ∠z form a linear pair so their sum is equal to 180°

x + z = 180             →    z = 180 - x

∠x and ∠y and ∠w are the angles of a triangle so their sum equals 180°

x + y + w = 180

x + (-x + 170) + (-x + 193) = 180                   Substitution

                       -x + 263 = 180                    Add Like Terms

                       -x            = -83                    Subtracted 263 from both sides

                                  x = 83                      Divided both sides by -1

w = -x + 193                     y = -x + 170                     z = 180 - x

w = -83 + 193                  y = -83 + 170                   z = 180 - 83

w = 110                           y = 87                             z = 97

Answer:

z= 120, ∠x= 60°, ∠y= 50°, ∠w= 70°

Step-by-step explanation:

Please see the attached pictures for the full solution.

Answer:

9

Step-by-step explanation:

4 * 2 + 3 - 2 =

= 8 + 1 =

= 9

Look at the values on the axes of the graph.

Step-by-step explanation:

Domain can be found by looking at the x-axis of a graph. Range can be found by looking at the y-axis of a graph. You have to find at what point on the axis is the graph stopping.

For example, if I wanted the domain of y=x, I would say it is all real numbers. Why? Because when we look along the x-axis, from left to right, we can see that it continues going until infinity. That means that there are no stopping points in the graph of y=x.

Answer:

I have solved it and attached in the explanation.

Step-by-step explanation:

The smallest angle of the equilateral triangle is 60 degrees

If the sides of a triangle are in the ratio 4:4:3, it implies that the lengths of the sides are proportional.

To determine the type of triangle, we examine the side lengths. Since all three sides are equal in length, we have an equilateral triangle.

For an equilateral triangle, all angles are equal. To calculate the smallest angle, we divide the total sum of angles in a triangle (180 degrees) by the number of angles, which is 3:

Smallest angle \(= \frac{180}{3} = 60\)\) degrees.

Therefore, the smallest angle of the equilateral triangle is 60 degrees (to the nearest degree).

For more questions on equilateral triangle:

https://brainly.com/question/17264112

#SPJ8

Answer:

HCF = 12

Step-by-step explanation:

factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24

Factors of 60 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30

the highest common factor they share in common is 12.

The two expressions are not equivalent.

To simplify the expression (p^2n^1/2)^0 √ p^5n^4, we first need to understand the properties of exponents and radicals.

Recall that any number raised to the power of zero is equal to 1, so (p^2n^1/2)^0 = 1.

Next, we can simplify the radical term by multiplying the exponents inside and outside the radical:

√ p^5n^4 =

(p^5n^4)^(1/2)

= p^(5/2)n^(4/2)

= p^(5/2)n^2

Combining this result with the previous step, we have:

(p^2n^1/2)^0 √ p^5n^4

= 1 * p^(5/2)n^2

= p^(5/2)n^2

This is not equivalent to p^18n^6 √p. In fact, p^(5/2)n^2 cannot be simplified any further without additional information about the expression.  ,

To lern more about : expressions

https://brainly.com/question/1859113

#SPJ11

Answer:

\(x=30\\y=68\\z=82\)

Step-by-step explanation:

x = measure of the first angle

y = measure of the second angle

z = measure of the third angle

The sum of the measures of the second and third (y+z) is five times the measure of the first angle (=5x)

\(y+z=5x\)

The third angle is 14 more than the second

\(z=y+14\)

And remember that the sum of these three angles must be equal to 180.

\(x+y+z=180\)

Let's take these equations

\(y+z=5x\\z=y+14\\x+y+z=180\)

If you take a look at the first equation, we have y+z = 5x and we have y+z in the third equation as well, we can replace that....

\(x+y+z=180\\x+(y+z)=180\\x+(5x)=180\)

Distribute the + sign

\(x+5x=180\)

Combine like terms;

\(6x=180\)

Divide by 6.

\(x=\frac{180}{6}\\ x=30\)

We have now defined that the measure of the first angle is 30º.

Let's take another equation... for example \(z=y+14\)

I'm going to take this one because if I replace x and z in the third equation, all I'll have left will be y.

\(x+y+z=180\\30+y+(y+14)=180\)

Distribute the + sign and Combine like terms;

\(30+y+y+14=180\\44+2y=180\\\)

Subtract 44 to isolate 2y.

\(2y=180-44\\2y=136\)

Now divide by 2.

\(y=\frac{136}{2}\\ y=68\)

We already have the value of x and y. Once again, replacing this in the third equation will leave us with z to solve for.

\(x+y+z=180\\30+68+z=180\\98+z=180\\z=180-98\\z=82\)

The value of x in the angles is 19.

When lines intersect, angle relationships are formed such as vertically opposite angles, adjacent angles etc.

Therefore, let's find the value of x in the intersecting lines.

Hence,

7x - 8 = 6x + 11 (vertically opposite angles)

Vertically opposite angles are congruent and they share the same vertex point.

Hence,

7x - 8 = 6x + 11

subtract 6x from both sides of the equation

7x - 8 = 6x + 11

7x - 6x - 8 = 6x - 6x + 11

x - 8 = 11

add 8 to both sides of the equation

x - 8 + 8 = 11 + 8

x = 19

learn more on angles here: https://brainly.com/question/17395336

#SPJ1

The volume of the solid of revolution formed by revolving the region bounded by f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis is 16π cubic units.

To find the volume of the solid of revolution formed by revolving the region bounded by the curves f(x) = -3x² + 8 and g(x) = 3x² + 2 about the x-axis, we can use the method of cylindrical shells and integrate.

First, let's find the points of intersection between the two curves by setting them equal to each other:

-3x² + 8 = 3x² + 2

Rearranging the equation, we get:

6x² = 6

x² = 1

x = ±1

So, the curves intersect at x = -1 and x = 1.

To calculate the volume, we'll integrate along the x-axis from x = -1 to x = 1. The volume of each cylindrical shell can be determined by multiplying the circumference (2πy) by the height (dx), where y represents the distance from the axis of revolution to the curve at a given x-value.

The radius of the cylindrical shell, y, can be obtained by subtracting the lower curve (f(x)) from the upper curve (g(x)). Therefore, y = (3x² + 2) - (-3x² + 8) = 6x² - 6.

The integral to compute the volume of the solid can be expressed as:

V = ∫[from -1 to 1] 2π(6x² - 6) dx

V = 2π ∫[from -1 to 1] (6x² - 6) dx

Simplifying and evaluating the integral, we get:

V = 2π [2x³ - 6x] [from -1 to 1]

V = 2π [(2(1)³ - 6(1)) - (2(-1)³ - 6(-1))]

V = 2π [2 - 6 - (-2 + 6)]

V = 2π [8]

V = 16π

for more such question on volume visit

https://brainly.com/question/30610113

#SPJ8

The concentration of the type of antibiotic after 4 hours is; 11.04 parts per million

We are told that the equation that models the concentration in parts per million of a type of antibiotic in a human's bloodstream after h hours is;

A(h) = -0.06h² + 2h + 4

where h is the time in number of hours after which the concentration is recorded.

Now, we want to find the concentration after 4 hours and as such we will input 4 for h in the equation to get;

A(4) = -0.06(4²) + 2(4) + 4

A(4) = -0.96 + 12

A(4) = 11.04 parts per million

Read more about Function input values at; https://brainly.com/question/10283950

#SPJ1

Just a generic answer would by 12/8 or any other multiple of the numbers. If that is a fraction than same goes as above.

Answer:

the answer is C

Step-by-step explanation:

the equation of a line is y-y1=m(x-x1) where x1 and y1 are points on a line

so when you compare the two equations, you get C

Answer:

i think it is a but i am not shore. Hope this helps

Step-by-step explanation:

Answer:

\(\frac{13}{145}\)

The sum of the interior angles of a regular polygon with 9 sides will be 1260°. The correct option is A.

An angle is defined in mathematics as the figure formed by joining two rays at their common endpoint. An interior angle is an angle that exists within a shape. Polygons are closed shapes with sides and vertices. All of the interior angles of a regular polygon are equal.

Given that the number of the sides of the polygon is 9. The sum of the interior angles of the polygons will be calculated as,

Sum = ( n - 2 ) 180°

Sum = ( 9 - 2 ) 180

Sum = 7 x 180

Sum = 1260°

To know more about the angle of polygons follow

https://brainly.com/question/14332345

#SPJ1

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

To learn more about : quadratic

https://brainly.com/question/1214333

#SPJ11