Find the measures of the angles of each triangle (in degrees) and classify the triangle as acute/right/obtuse and scalene/isosceles/equilateral (one from each triple)

A=5x - 10 B = 3x C= 2x - 10

Answer:

1782 tiles

Step-by-step explanation:

Given that:

Dimension fo floor = 132 x 216 inches

Area of floor = 132 * 216 = 28512 in²

Dimension of tiles = 4 * 4 inches

Area of tiles = 4 * 4 = 16 in²

Number of tiles needed to cover floor :

Area of floor / Area of tiles

28512 in² / 16 in²

= 1782 tiles

Jeremy paid $20.40 for a box of 15 pens.

The cost of one pen can be calculated by dividing the total cost by 15. This is shown below:

Hence, each pen costs $1.36.

The cost of each pen is $1.36.

We will use the formula:

Cost of one pen = total amount/number of pens

Given in the question,

Total amount = $20.40

Number of pens = 15

Now, we will put the values in the above formula,

Cost of one pen = 20.40 / 15

= $1.36

Therefore, the cost of each pen is $1.36.

To learn more about such Pen related questions:

https://brainly.com/question/472939

https://brainly.com/question/2973352

The final amount or balance in the account will be 11,160.

Simple interest is defined as the interest obtained over the principal amount on a certain rate.

Given,

Principal amount (Starting amount) = 9000

Rate of interest = 8% = 8/100 = 0.08

Time = 3 years

The final amount in a simple interest is,

Final amount = Principal amount [1 + (interest rate × time)]

                      = 9000 [ 1 + (0.08 × 3)]

                      = 11,160

Hence the final amount is  11,160.

Learn more about Simple Interest here :

https://brainly.com/question/25845758

#SPJ1

Answer:

6 cans

Step-by-step explanation:

for the walls it would be 8* 3/4 = 6 cans

Answer:

It will take 6 cans of paint to paint all the walls of his tiny house.

Step-by-step explanation:

If 3/4 of a can of paint is enough to paint 1/8 of all of the walls in his tiny house, we need to find out how much paint he needs to paint the rest of the walls.

This is done by multiplying 3/4 by 8, because there are eight 1/8th parts to a whole.

3/4 x 8 = ?

3/4 x 8/1 = ?

Now, multiply the numerators together (3 x 8 = 24), and the denominators together (4 x 1 = 4).

The fraction is now written as 24/4.

24/4 = 6

Jacob will need 6 cans of paint to paint all the walls of his new tiny house.

he got the same answer i did

Step-by-step explanation:

14÷3= 4.6666666...

so 4 cookies for each one... with 2 cookies left

If the null space of a 7 × 9 matrix is 3-dimensional, we can determine the rank of matrix A, the dimension of the row space of A, and the dimension of the column space of A.

The rank of a matrix is equal to the number of linearly independent columns or rows in the matrix. Since the null space is 3-dimensional, the rank of A would be 9 - 3 = 6.

The dimension of the row space, also known as the row rank, is equal to the dimension of the column space, or the column rank. Therefore, the dimension of the row space and the dimension of the column space of A would also be 6.

The rank of matrix A would be 6, and both the dimension of the row space and the dimension of the column space of A would also be 6.

Learn more about matrix here: brainly.com/question/28180105

#SPJ11

Answer:

2267 km

Step-by-step explanation:

1890 km/3.5 hours = 2267 km/4.2 hours

2268 km far will the plane fly in 4.2 hours if it maintains the same air speed.

How far will the plane fly in 4.2 hours if it maintains the same air speed?

The formula speed = distance ÷ time can be rearranged like any other equation. The formula can be rearranged in three ways: speed = distance ÷ time. distance = speed × time.

Given,a plane flies 1890 km in 3.5 hours.

So, distance = 1890 km and time = 3.5 hours.

We know,

Distance = Speed × Time

For example, If speed of a car is 20 m/s and the car travel 60 s then the car cover total distance

\(= 20 \times 60 = 1200 \: m\)

Again

\(speed = \frac{distance}{time}\)

According to question,

Speed

\( = \frac{distance}{time} \\ = \frac{1890}{3.5} \\ = 540 \)

So, speed of the plane is 540 km/hour.

Again given time is 4.2 hours

So, Distance = Speed × Time

\( = 540 \times 4.2 \\ = 2268 \: km\)

Speed and distance related one more question,

https://brainly.com/question/12759408

#SPJ2

Answer:

60%

Step-by-step explanation:

5÷3=0.6

0.6×100=60

Turn it into a percent.

60%

Could I please have BRAINLIEST?

Answer:

60%

Step-by-step explanation:

The slope's equation is:

 ⇒  \(\frac{y2-y1}{x2-x1}\)

Since the two points are (-5,86) and (95,16)

 ⇒\(slope = \frac{16-86}{95--5} =-\frac{70}{100} =-\frac{7}{10}\)

Thus the slope is -7/10.

Hope that helps!

The magnitude of the number of the minutes in the school is 2.

Although the order of magnitude of zero is not specified, it is occasionally stated to have a magnitude of. Zero is less than any other positive number, and so is its order of magnitude, according to this infinitely negative order of magnitude.

There can be no negative magnitude. The component of the vector that lacks direction is its length (positive or negative).

The order of magnitude is the approximate representation of the logarithmic of the order's value and is typically considered to be 10 taken as the base.

On a scale of 10 logarithmic, the difference in the order of magnitude can be quantified.

The value storage is where you may find the number into the various magnetic.

As a result, the number of minutes spent in school is 2.

To learn more about order of magnitude from given link

https://brainly.com/question/15698632

#SPJ1

Complete question -

What is the Order of Magnitude of the number of minutes in a school day?

Answer:

The lines are perpendicular because perpendicular lines have slopes that are opposite reciprocals. To compare the slopes, you can rewrite the second equation in slope-intercept form as y = (–1/3)x + 1. The slope of the given line is 3, and the slope of the second line is –1/3. These have a product of –1, which means they are opposite reciprocals. Thus, the two lines are perpendicular.

Step-by-step explanation:

I don't need to explain.

It is perpendicular. Because 3x + 9y = 9 in slope-intercept form would be -1/3x + 1, -1/3x would be the opposite of 3x. Therefore, it is perpendicular.

But if you want the sample response instead, here you go

Sample Response: The lines are perpendicular because perpendicular lines have slopes that are opposite reciprocals. To compare the slopes, you can rewrite the second equation in slope-intercept form as y = (–1/3)x + 1. The slope of the given line is 3, and the slope of the second line is –1/3. These have a product of –1, which means they are opposite reciprocals. Thus, the two lines are perpendicular.

Answer:

980

Step-by-step explanation:

30x7=210

18x24 divided by 2=216

18x7=126

 210

+216

426x2=854

           +126

             980

Hope this helps

Brainliest pls

Have a great day!

Answer:

936 cm^3

Step-by-step explanation:

Split into pieces

Sides: \(\frac{1}{2} *18*24 = 216\)

Multiply that by 2 because there are 2 of this piece

Bottom Area: \(24*7 = 168\)

Slope: \(30*7 = 210\)

Last piece: \(18*7 = 126\)

126+210+168+432 = 936

Answer:

-6 √(2) = -8.48528137424

Step-by-step explanation:

:))

The curl of the vector field

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

The divergence of the vector field

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

To find the curl of the vector field F(x, y, z) = 9ex sin(y), 2ey sin(z), 8ez sin(x), we need to compute the determinant of the curl matrix.

(a) Curl of F:

The curl of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

curl(F) = (∂R/∂y - ∂Q/∂z)i + (∂P/∂z - ∂R/∂x)j + (∂Q/∂x - ∂P/∂y)k

In this case, we have:

P(x, y, z) = 9ex sin(y)

Q(x, y, z) = 2ey sin(z)

R(x, y, z) = 8ez sin(x)

Taking the partial derivatives, we get:

∂P/∂y = 9ex cos(y)

∂Q/∂z = 2ey cos(z)

∂R/∂x = 8ez cos(x)

∂R/∂y = 0 (no y-dependence in R)

∂Q/∂x = 0 (no x-dependence in Q)

∂P/∂z = 0 (no z-dependence in P)

Substituting these values into the curl formula, we have:

curl(F) = (0 - 2ey cos(z))i + (8ez cos(x) - 0)j + (0 - 9ex cos(y))k

= -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

Therefore, the curl of the vector field F is given by:

curl(F) = -2ey cos(z)i + 8ez cos(x)j - 9ex cos(y)k

(b) Divergence of F:

The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by the following formula:

div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z

In this case, we have:

∂P/∂x = 9e^x sin(y)

∂Q/∂y = 2e^y sin(z)

∂R/∂z = 8e^z

Substituting these values into the divergence formula, we have:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Therefore, the divergence of the vector field F is given by:

div(F) = 9e^x sin(y) + 2e^y sin(z) + 8e^z

Learn more about divergence of the vector this link:

https://brainly.com/question/30907324

#SPJ11

By using factοrs, the numbers are 17, 35, 12, 50.

A factοr is a number that can be evenly divided intο anοther number withοut leaving a remainder. In οther wοrds, when yοu divide οne number by anοther number and the remainder is zerο, then the secοnd number is a factοr οf the first number.

a) The οnly number less than 40 with 7 as a factοr is 7 itself. Since the sum οf the digits is 8, and 7 is already οne οf the digits, the οther digit must be 1. Therefοre, the number is 17.

b) The twο factοrs οf the mystery number are 3 and 5. The οnly number less than 100 with 3 and 5 as factοrs, and with digits that are 1 apart, is 35.

c) The cοmmοn multiple οf 3, 4, and 10 is 60, which is a factοr οf 120. The οnly factοr οf 120 with digits that add up tο 6 is 12 (1+2=3).

d) The cοmmοn multiple οf 2 and 5 that is a factοr οf 100 is 10. The οnly number less than 100 that is a multiple οf 2 and 5 and has digits that add up tο 5 is 50 (5+0=5).

To know more about factors visit:

brainly.com/question/30242986

#SPJ1

To find positive numbers x and y that satisfy the given condition, we need to minimize the sum x + y while keeping the product xy constant. We can use the Arithmetic Mean-Geometric Mean (AM-GM) Inequality for this problem. The AM-GM inequality states that the arithmetic mean of a set of non-negative numbers is always greater than or equal to the geometric mean of the same numbers.

In this case, we have two numbers, x and y. The arithmetic mean of x and y is (x + y)/2, and the geometric mean is √(xy). According to the AM-GM inequality, we have:

(x + y)/2 ≥ √(xy)

Multiplying both sides by 2, we get:

x + y ≥ 2√(xy)

Now, we want to minimize the sum x + y, which means we need to find the minimum value for the right-hand side of the inequality. The minimum value occurs when the inequality becomes an equality:

x + y = 2√(xy)

To achieve this equality, x must be equal to y (x = y). This is because the arithmetic mean and geometric mean are equal only when all the numbers in the set are equal. Therefore, x = y and the product xy will have the minimum sum. The exact values of x and y will depend on the given constraint for the product xy.

To know more about mean visit:

https://brainly.com/question/31101410

#SPJ11

The expected value of the "Buy New" option is 724732.60.

Decision Tree:

To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:

Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:

Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)

Substituting the given values in the above formula, we get:

Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60

Therefore, the expected value of the "Buy New" option is 724,732.60.

Conclusion:

To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.

The expected value of the "Buy New" option is 724,732.60.

For more questions on expected value

https://brainly.com/question/14723169

#SPJ8

\(\huge\begin{array}{ccc}y=-\dfrac{3}{2}x+3\end{array}\)

The "point-slope" form of the equation of a straight line:

POINTS:

\((x_1,\ y_1),\ (x_2,\ y_2)\)

EQUATION:

\(y-y_1=m(x-x_1)\)

where

SLOPE:

\(m=\dfrac{y_2-y_1}{x_2-x_1}\)

We have two points whose coordinates can be read from the graph:

\((0,\ 3),\ (2,\ 0)\)

Substitute:

\(m=\dfrac{0-3}{2-0}=\dfrac{-3}{2}=-\dfrac{3}{2}\\\\y-3=-\dfrac{3}{2}(x-0)\\\\y-3=-\dfrac{3}{2}x\)

add 3 to both sides

\(y-3+3=-\dfrac{3}{2}x+3}\\\\\boxed{y=-\dfrac{3}{2}x+3}\)

Answer:

1/4

Step-by-step explanation:

The linear correlation coefficient of 0.3 indicates a moderate positive correlation between the two variables.

This suggests that when one variable increases, the other variable tends to increase too. However, there is not a strong linear relationship between the two variables, meaning that the increase in one variable does not guarantee a predictable change in the other variable.


When interpreting the findings of a correlation study, it is important to note the strength of the relationship between the two variables. A linear correlation coefficient of 0.3 indicates a moderate positive correlation, meaning that the two variables increase together but there is not a strong linear relationship between the two variables.

This means that the increase in one variable does not guarantee a predictable change in the other variable. To put it another way, the strength of the correlation means that when one variable increases, it is likely that the other will increase as well, but it is not guaranteed.

Therefore, caution should be used when making predictions based on the results of a correlation study.

To know more about linear correlation coefficient click on below link:

https://brainly.com/question/24881420#

#SPJ11

The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.

Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.

The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.

In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.

The sentence can be rewritten as follows to make use of the word "been":

"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."

To know more about the word implies visits :

https://brainly.com/question/2507296

#SPJ11

Answer:

15 hammers

Step-by-step explanation:

Let's first find how much money he has left after he buys the truck:

3750-3400=$350

Now let's find how many hammers he can purchase:

350/22=15.91

This means he can purchase 15 hammers since he cannot have .91 of a hammer.

Answer:

15

Step-by-step explanation:

Since John's truck costs 3,400, subtract that from 3,750

3750

-3400

-----------

350

22 goes into 350 fifteen times, hence giving you the answer 15.

Answer:

y = -10

Step-by-step explanation:

(-7x+3y) - (-7x +10y) =-65 -(-135)

-7x + 3y + 7x -10y = 70

-7y = 70

y = -10

The equation that results from subtracting - 7x + 3y = - 65 and

- 7x + 10y = - 135 is 7y = - 70.

We know two simultaneous equations have a unique solution when they intersect at a point,

when they are parallel they have no solution and when they are coinciding they have an infinite no. of solutions.

Given, a system of equations - 7x + 3y = - 65 and - 7x + 10y = - 135.

Subtracting the first equation from the second we get,

   - 7x + 10y = - 135

(-) - 7x + 3y =    - 65

_________________

Negative sign gets distributed

   - 7x + 10y = - 135

  + 7x - 3y =   + 65

_________________

            7y =   - 70

              y =   - 70/7

              y =  - 10.

So, the value of x is -7x +10×(-10) = - 135.

- 7x - 100 = - 135.

- 7x = - 135 + 100.

- 7x = - 35.

x = 7.

learn more about the system of equations here :

https://brainly.com/question/24065247

#SPJ2

Each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

1. Horizontal Shift (c):
If there is a horizontal shift, the equation becomes y = (x - c)^3.
For example, if there is a shift of 2 units to the right, the equation would be y = (x - 2)^3.

2. Vertical Shift (d):
If there is a vertical shift, the equation becomes y = x^3 + d.
For example, if there is a shift of 3 units upwards, the equation would be y = x^3 + 3.

3. Vertical Stretch (a):
If there is a vertical stretch or compression, the equation becomes y = a * x^3.
For example, if there is a vertical stretch by a factor of 2, the equation would be y = 2 * x^3.

4. Reflection (along the x-axis):
If there is a reflection along the x-axis, the equation becomes y = -x^3.
This flips the graph of the original function upside down.

5. Reflection (along the y-axis):
If there is a reflection along the y-axis, the equation becomes y = (-x)^3.
This mirrors the graph of the original function.

6. Combined Transformations:
If there are multiple transformations, we can apply them in the order they are given. For example, if there is a vertical stretch by a factor of 2 and a horizontal shift of 3 units to the right, the equation would be y = 2 * (x - 3)^3.

Remember, each transformation affects the shape and position of the graph. It is important to carefully consider the order of the transformations and their impact on the equation.

To know more about equation here:

brainly.com/question/29292690

#SPJ11

Answer:

RT=18 ST=16 and last RS =15

Answer:

⏃ rational number can be expressed as ⏃ number that can be written in the form of ⏃ fracton.