Mathematics College

The area of a triangle is given by the formula A=1/2 bh. What is the area of the triangle if b=5 and h=4?

Answers

Answer 1

1/2(5)(4)
area is 10
lol

Related Questions

write an equation in slope intercept form for the line that has a slope of 1/3 and passes through the point (3, -20)

Answers

y = 1/3x - 21 is the equation of the line in slope-intercept form.

What is a slope?

Slope is a measure of the steepness or incline of a line. It describes how much the dependent variable (usually y) changes for a given change in the independent variable (usually x).

The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.

We are given that the slope is 1/3 and that the line passes through the point (3, -20). We can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

where (x1, y1) is the point through which the line passes, and m is the slope. Plugging in the values we have:

y - (-20) = 1/3(x - 3)

Simplifying this equation:

y + 20 = 1/3x - 1

Subtracting 20 from both sides:

y = 1/3x - 21

This is the equation of the line in slope-intercept form.

To learn more about slope from the given link:

https://brainly.com/question/3605446

#SPJ1

PLS HELP -
transponder for a toll bridge costs $22.50. With the transponder, the toll is $4 each time you cross the bridge. The only other option is toll-by-plate, for which the toll is $5.25 each time you cross the bridge with an additional administrative fee of $1.25 for each crossing. How many times would you need to cross the bridge for the costs of the two toll options to be the same?

You need to cross the bride _ times?

Answers

Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

What is meant by linear function ?To find out how many times you would need to cross the bridge for the costs of the two toll options to be the same, we need to set up an equation.Let x be the number of times you need to cross the bridge.For the transponder option: 22.50 + 4x = costFor the toll-by-plate option: 5.25x + 1.25x = costSince the costs of the two options need to be equal, we can set the two equations equal to each other and solve for x:22.50 + 4x = 5.25x + 1.25x + 22.504x = 5.25x + 1.25x0.75x = 22.50x = 30So you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

To learn more about linear function refer:

brainly.com/question/28441514

#SPJ1

if angle poa is a right angle and if measure of angle coa is three times as large as measure angle poc.

Answers

The angles COA and POC are 22.5 and 67.5 degrees respectively as POA is a right angled triangle.

POA is a right angle so it is 90 degrees.

POC +COA = 90 .....(1)

Also, POC is 3 times as large as COA.

Let's take COA, "x"

POC = 3x

Substituting the values in equation (1) as follows:

x + 3x = 90

4x = 90

x= 22.5

Therefore,

COA = 22.5°

POC = 22.5*3 = 67.5°

To learn more about angles check the link below:

https://brainly.com/question/25770607

#SPJ4

if angle poa is a right angle and if measure of angle coa is three times as large as measure angle poc.

A card is drawn at random from a deck of cards. What is the probability of getting a red 3?

Answers

as there are 52 cards in a deck and only 2 types of red cards, the answer would be 2/52 or 1/26

Direct VariationIntroduction to FunctionsAcellusIf the value of "y" varies directly with "x"and y = -1 when x = 3, find "y" if x = 9.Enter the number that belongs in the green box.y = [?]

Answers

We will investigate the specific type of relationships: Direct and inverse relations.

We will take reference of two variables as follows:

$x\text{ and y}$

Direct relationship:

The relationship between two variables is described as follows:

$\text{If ( x ) increases then ( y ) must increase!}$

The relationship is expressed as follows:

$y\propto\text{ x}$

Then to replace a proportionality sign we multiply a constant ( k ) as follows:

$y\text{ = kx}$

The above is an equation used for variables that are directly related! :)

We are given values for the variables as follows:

$x\text{ = 3 , and y = -1 }$

Using the data given we will determine the value of the proportionality constant ( k ) by plugging in the values of x and y given:

$\begin{gathered} -1\text{ = k}\cdot3 \\ \textcolor{#FF7968}{k}\text{\textcolor{#FF7968}{ = -}}\textcolor{#FF7968}{\frac{1}{3}} \end{gathered}$

The relationship is completely expressed a follows:

$y\text{ = -}\frac{1}{3}\cdot x$

We will use the above defined relationship to determine the value of ( y ) if ( x ) is:

$\begin{gathered} \text{IF x = 9 , then:} \\ y\text{ = -}\frac{1}{3}\cdot9 \\ \textcolor{#FF7968}{y}\text{\textcolor{#FF7968}{ = -3}} \end{gathered}$

Answer:

The result is:

$\textcolor{#FF7968}{y}\text{\textcolor{#FF7968}{ = -3}}$

Simplify.

−6i−44−−−−√

Enter your answer, in simplest radical form, in the box.

Answers

Expressions that have the square root sign are said to be radicals.

The simplified form of $-6i\sqrt{-44}$ is $12\sqrt{11}$

The expression is given as:

$-6i\sqrt{-44}$

Start by splitting the expression

$-6i\sqrt{-44} = -6 \times i \times \sqrt{-44}$

Factorize -44

$-6i\sqrt{-44} = -6 \times i \times \sqrt{-1} \times \sqrt{44}$

In complex numbers;

$i = \sqrt{-1$

So, we have:

$-6i\sqrt{-44} = -6 \times \sqrt{-1} \times \sqrt{-1} \times \sqrt{44}$

Express $\sqrt{-1} \times \sqrt{-1}$ as $-1$

$-6i\sqrt{-44} = -6 \times -1 \times \sqrt{44}$

$-6i\sqrt{-44} = 6 \times \sqrt{44}$

Express 44 as 4 x 11

$-6i\sqrt{-44} = 6 \times \sqrt{4} \times \sqrt{11}$

Express $\sqrt 4$ as $2$

$-6i\sqrt{-44} = 6 \times 2 \times \sqrt{11}$

$-6i\sqrt{-44} = 12 \times \sqrt{11}$

$-6i\sqrt{-44} = 12\sqrt{11}$

Hence, the simplified expression is: $12\sqrt{11}$

Read more about radical expressions at:

https://brainly.com/question/1810591

PLS HELP ILL GIVE BRAINLIEST

Answers

Answer:

y= 2/7

b= 43

Step-by-step explanation:

Use a calculator to graph f(x) = 2x ^ 3 - 6x ^ 2 - 4x + 1 Which are the approximate x-values of the local maximum and local minimum rounded to the nearest tenth?

A) max ≈ -15.6 , min ≈ 1.6
B) max ≈ 1.6 , min ≈ -15.6
C) max ≈ 2.3 , min ≈ -0.3
D) max ≈ -0.3 , min ≈ 2.3

Answers

The approximate x-values for the local maximum and the local minimum are given as follows:

D) max ≈ -0.3 , min ≈ 2.3.

What are the relative minimums and the relative maximums of a function?

The relative minimums of a function are given by the points in which the function's behavior changes from decreasing to increasing.The relative maximums of a function, meanwhile, are given by the points in which the function's behavior changes from increasing to decreasing.

Hence the critical points of the graphed function are given as follows:

Maximum: x = -0.3.Minimum: x = 2.3.

More can be learned about relative minimums of a function at https://brainly.com/question/9839310

#SPJ1

Use a calculator to graph f(x) = 2x ^ 3 - 6x ^ 2 - 4x + 1 Which are the approximate x-values of the local

Write 3 × 107 km3, the total volume of the continental Antarctica ice sheet, as a basic numeral.

___km^3

Answers

The total volume of the continental Antarctica ice sheet, as a basic numeral is 30000000 km^3

How to write the total volume of the continental Antarctica ice sheet, as a basic numeral?

The total volume of the continental Antarctica ice sheet is given as:

Volume = 3 * 107 km^3

Rewrite the above number properly.

This is done as follows:

Volume = 3 * 10^7 km^3

Evaluate the exponent 10^7

Volume = 3 * 10000000 km^3

Evaluate the product

Volume = 30000000 km^3

Hence, the total volume of the continental Antarctica ice sheet, as a basic numeral is 30000000 km^3

Answers

Answer:

Step-by-step explanation:

To solve this problem, we can use the formula for calculating the fixed monthly payment on a mortgage:

P = (r * PV) / (1 - (1 + r)^(-n))

where:

P = fixed monthly payment

r = monthly interest rate (annual interest rate divided by 12)

PV = present value of the loan (loan amount)

n = total number of payments (number of years multiplied by 12)

Using the given values:

r = 0.0735 / 12 = 0.006125

PV = R150,000

n = 20 x 12 = 240

Then we can calculate the monthly payment:

P = (0.006125 * 150000) / (1 - (1 + 0.006125)^(-240)) = R1,181.91

This means that Gideon will have to pay R1,181.91 every month for 20 years to repay his loan.

To determine how much of the second payment applies to the principal balance, we need to calculate the interest and principal amounts of the first payment.

For the first payment, the interest can be calculated as:

interest1 = r * PV = 0.006125 * 150000 = R918.75

This means that the first payment consists of R918.75 in interest and the rest, R1,181.91 - R918.75 = R263.16 is principal.

To find out how much of the second payment applies to the principal balance, we need to subtract the interest and add the calculated principal amount from the first payment to the amount of the second payment:

principal2 = (P - interest1) + principal1 = (1181.91 - 918.75) + 263.16 = R525.32

Therefore, R525.32 of the second payment applies to the principal balance.

Does this table represent a function? Why or why not?
O
X
2
3
3
4
5
y
1
4
3
2
5
A. Yes, because there are different y-values.
B. Yes, because every x-value corresponds to exactly one y-value.
C.
No, because the y-values are positive.
D. No, because one x-value corresponds to two different y-values.
SUBMIT

Answers

The given table does not represent a function. The correct answer is D. No, because one x-value corresponds to two different y-values.

To determine if the table represents a function, we need to check if every x-value corresponds to exactly one y-value. Let's analyze the given table:

x | y

-------

O | 1

X | 4

2 | 3

3 | 2

3 | 5

4 |

5 |

From the table, we can see that the x-values are not unique. Both the values 3 and 4 appear twice in the x-column, but they have different corresponding y-values.

This violates the definition of a function, which states that each input (x-value) should have only one output (y-value).

Therefore, the given table does not represent a function.

The correct answer is D. No, because one x-value corresponds to two different y-values.

for such more question on function

https://brainly.com/question/13473114

#SPJ8

if there are 24 students in the class how many received a grade of C

Answers

She will give 9 students C's,

(I think i'm not 100% sure)

Which statements are always true regarding the diagram? Select three options.

m∠5 + m∠3 = m∠4
m∠3 + m∠4 + m∠5 = 180°
m∠5 + m∠6 =180°
m∠2 + m∠3 = m∠6
m∠2 + m∠3 + m∠5 = 180°

Answers

Answer:

Step-by-step explanation:

m∠5 + m∠3 = m∠4 is always true, because in a triangle, the sum of all the angles is always 180°.m∠3 + m∠4 + m∠5 = 180° is always true, because in a triangle, the sum of all the angles is always 180°.m∠5 + m∠6 =180° is not always true, since it depends on the specific diagram and the measure of m∠6.

what is the difference between a relation and function? Classify each of the following as a function, or not a function. State the domain and range
{(1,7),(1,14),(1,21)}

The relation is/isn't a function
Domain _ _ _
Range _ _ _
Leave Unused Fields Blank

Answers

Answer:

A relation is a subset of cartesian product of two non empty sets whereas A function is a type of relation in which every element of first set has one and only image in the second set.

In a relation an element of the first set can have many images in the second set whereas in a function the first element can have only one image in the second set.

The given relation is not a function as the element 1 is related to 3 different elements in the second set.

Domain={1}

Range={7,14,21}

NEED HELP ASAP a bag contains four green marbles,six white marbles, and ten red marbles. One marble is picked at random from the bag. What is the probability of picking a white marble?

Answers

The probability of picking a white marble is 3/10

What is the probability of picking a white marble?

From the question, we have the following parameters that can be used in our computation:

four green marbles, six white marbles, and ten red marbles

This means that

Total = 4 + 6 + 10

Evaluate the sum

Total = 20

The probability of picking a white marble is

P = White/Total

substitute the known values in the above equation, so, we have the following representation

P = 6/20

Evaluate

P = 3/10

Hence, the probability of picking a white marble is 3/10

Answers

It’s c I just took the test and got a hundred

Which value of m makes the equation true?
8+m=27
Hurry I need an answer!!!!

Answers

Answer:

Step-by-step explanation:

given that 8 + m = 27

we need to find m

we can do this by isolating the variable using inverse operations

8 + m = 27

we want to get rid of the 8 in 8 + m

The opposite of addition is subtraction

So we want to subtract by 8 but remember what ever we do to one side we want to do to the other side

So we subtract 8 from each side

8 - 8 cancels out

27 - 8 = 19

we're left with m = 19

How would you describe the difference between the graphs of f(x) = 2x² and
g(x) = -2x²?
A. g(x) is a reflection of f(x) over the y-axis.
B. g(x) is a reflection of f(x) over the line y = -1.
OC. g(x) is a reflection of f(x) over the line y = x.
D. g(x) is a reflection of f(x) over the x-axis.
SUBMIT

Answers

How would you describe the difference between the graphs of f(x) = 2x² and g(x) = -2x²: D. g(x) is a reflection of f(x) over the x-axis.

What is a reflection over the x-axis?

In Mathematics and Geometry, a reflection over or across the x-axis is represented by this transformation rule (x, y) → (x, -y).

This ultimately implies that, a reflection over or across the x-axis would maintain the same x-coordinate while the sign of the y-coordinate changes from positive to negative or negative to positive.

In this context, we can reasonably infer and logically deduce that a graph of transformed function g(x) = -2x² would be created by applying a reflection over or across the x-axis to the graph of the parent function f(x) = 2x² as shown in the image attached below.

Read more on reflection here: brainly.com/question/27912791

#SPJ1

How would you describe the difference between the graphs of f(x) = 2x andg(x) = -2x?A. g(x) is a reflection

HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.

1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?

Answers

Each of the five friends needs to pay £14.40 to cover the cost of the birthday person's meal.

To calculate how much each of the five friends needs to pay, we can use the concept of averages or mean.

The total cost of the meal for 6 people is £12 per person. This means that the total cost of the meal is 6 * £12 = £72.

Since the other five friends have decided to pay for the birthday person's meal, they will evenly divide the total cost of £72 among themselves.

To find the average amount each friend needs to pay, we divide the total cost by the number of friends paying, which is 5:

£72 / 5 = £14.40

Using the concept of averaging or finding the mean allows us to distribute the cost equally among the friends, ensuring fairness in sharing the expenses.

for more such questions on mean

https://brainly.com/question/1136789

#SPJ8

The perimeter of the triangle below is 54 units. Find the value of y.

Answers

Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

How long will it take money to double if it is invested at 25 % compounded continuously ?

Answers

Answer:

Is it anual or monthly?

Step-by-step explanation:

Points A and B have the same x-coordinates but opposite y-coordinates. How many units away are each of the points from the y-axis?
3
4
6
7

Answers

Answer:

Each point is 4 units away from the y-axis.

Step-by-step explanation:

Coordinates of point (x, y) defines the distance of the point from y-axis and x-axis.

x-coordinate → distance from the y-axis

y-coordinate → distance from x-axis

Coordinates of A → (-4, 3)

Coordinates of B → (-4, -3)

So both the points have same x-coordinates but opposite y-coordinates.

Therefore, each point is 4 units away from the y-axis.

Show how to answer thanks
A rectangle has a length that is 1 more than three times the width the area is 52 square feet. find the length and the width

Answers

9514 1404 393

Answer:

width: 4 ftlength: 13 ft

Step-by-step explanation:

Let w represent the width of the rectangle. Then the length is 3w+1 and the area is ...

w(3w+1) = 52

3w² +w -52 = 0

To factor this equation, we need factors of 3·52 = 156 that have a difference of 1. These values are 12 and 13, so we can rewrite the equation as ...

3w² +13w -12w -52 = 0

w(3w +13) -4(3w +13) = 0

(w -4)(3w +13) = 0

The positive value of w that makes a factor zero is ...

w = 4

Then the length is 3w+1 = 3(4) +1 = 13.

The length is 13 ft; the width is 4 ft.

A horizontal translation is used to move quadrilateral W XYZ onto quadrilateral
W XYZ.
Use the drop-down menus to describe the horizontal translation used.

Answers

Answer:

Quadrilateral WXYZ is translated 10 units to the left

Step-by-step explanation:

Translation of Shapes in the Plane

The translation is a type of rigid transformation where all the coordinates of the vertices that form the shape are shifted by the same number of units both vertically and horizontally.

The quadrilateral WXYZ has coordinates:

W(2,-3) X(7,-3) Y(6,-7) Z(1,-7)

The quadrilateral W'X'Y'Z' has coordinates:

W'(-8,-3) X'(-3,-3) Y'(-4,-7) Z'(-9,-7)

It can be noted that all the x-coordinates of the vertices are shifted by 10 units to the left.

Answer:

Quadrilateral WXYZ is translated 10 units to the left.

is this a rigid motion

Answers

The transformation in this problem is a translation combined with a reflection, hence yes, it is a rigid motion, as the side lengths of the transformed figure are equal to the side lengths of the original figure.

What are transformations on the graph of a function?

Examples of transformations are given as follows:

Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.

The dilation is the only transformation that is not a rigid motion, as it changes the side lengths of the figure.

The transformation for this problem has the rule defined as follows:

(x,y) -> (x + 2, -y).

The transformations are defined as follows:

x -> x + 2 is a translation right two units.y -> -y is a reflection over the x-axis.

Neither transformation is a dilation, hence it is a rigid motion.

More can be learned about transformations in a figure at https://brainly.com/question/28687396

#SPJ1

Find the equation of the line below. No bots!!!

Answers

Answer:

y=5x

y2-y1/x2-x1 = 10-5/2-1

Step-by-step explanation:

Let f(x)=3^(1-x). Find f(3)

Answers

Answer:

.1 repeating, or written as 1/9

Step-by-step explanation:

f(x)=3^(1-x)

f(3)=3^(1-3)

=3^-2

=1/3^2

=1/9

Answer:

$f(3) = 3^{-2} = \frac{1}{3^{2}}$ or $\frac{1}{9}$.

Step-by-step explanation:

Given the exponential function, $f(x) = 3^{(1 - x)}$, we can find f(3) by substituting the value of the input, x = 3, into the function.

$f(x) = 3^{(1 - x)}$

$f(3) = 3^{(1 - 3)} = 3^{(-2)}$

Hence, $f(3) = 3^{-2}$.

We can leave the final answer as $f(3) = 3^{-2}$; however, it is more common to write exponential expressions with positive exponents. In order to transform the current exponential expression into a positive exponent, we can use the Negative Exponent Rule, where it states: $a^{-n} = \frac{1}{a^{n} }$.

Therefore, the correct answer is: $f(3) = 3^{-2} = \frac{1}{3^{2}}$ or $\frac{1}{9}$.

98.8% of 668.49 to 2DP

Answers

Answer:

Your answer is 660.47 :)

What is the meaning of "$ \varphi (x,y)$ be $ y\wedge \phi (x)$ "?

$What is the meaning of "[tex] \varphi (x,y)[/tex] be [tex] y\wedge \phi (x)[/tex] "?$

Answers

The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

Learn more about axioms here:

https://brainly.com/question/2857184

#SPJ8

Consider the equation:
6x+55=x^2
1) Rewrite the equation by completing the square.
Your equation should look like (x+c)^2=d(x+c)
2
=dleft parenthesis, x, plus, c, right parenthesis, squared, equals, d or (x-c)^2=d(x−c)
2
=dleft parenthesis, x, minus, c, right parenthesis, squared, equals, d.
2) What are the solutions to the equation?

Answers

Step-by-step explanation:

Subtract the coefficient from both sides, keep 55 on the same side.

$ {x}^{2} - 6x = 55$

Complete the square by dividing the coefficient by two and squaring it.

$ {x}^{2} - 6x + 9 = 55 + 9$

Use binomial to factor the left side.

$(x - 3) {}^{2} = 64$

2. Solve for x.

$(x - 3) = 8$

$x = 11$

Remeber the square root of 64 is also -8 so

$x - 3 = - 8$

$x = - 5$

So the solutions are -5 and 11

Answer:

Answers

1) We can rewrite the equation as 64=(x−3)^2

2) The solutions to the equation are x=3±8

Other Questions

describe at least 3 differences between waves, currents, and tides. With three people living together, how will the rent and other expenses be split? What is the first step to graph an inequality? a major goal of integrated marketing communications is to send a consistent message to . a. shareholders b. customers c. employees d. ad agencies e. managers What is the pov of the story of the fisherman (third person omni or limited) A gym coach needs to buy badminton supplies. Rackets cost $10 each, and a pack of birdies costs $4. The coach has a budget of $100 and needs at least as many packs of birdies as rackets. Which graph shows the possible number of rackets and packs of birdies that the coach can buy? Bruce's Cafe offers two kinds of espresso: single-shot and double-shot. Yesterday afternoon, the cafe sold 12 espressos in all, 9 of which were single-shot. What percentage of the espressos were single-shot? When implementing a Ducking technique, we do not want the compressor to react too quickly thus drawing attention to the attenuation. In this case, the "Detector" in the side chain should be set to -- PLEASE HELP WILL GIVE LOTS OF POINTS Define and explain the carbon cycle!!In your own words please!!will give brainilest!! _______ is a large parcel of air with the uniform or same properties in the horizontal dimension. What are some indirect characterizations in romeo and juliet? and what is tvconflict in literature? Do anyone know science?? You use a(n) __________ statement to write a single alternative decision structure. a: test-jump b: if c: if-else d: if-call carol gilligan has suggested that differences in the ways boys and girls are raised in our society lead to basic distinctions in how men and women view . boys view it in terms of broad principles such as justice or fairness while girls see it in terms of responsibility towards individuals. Which property is useful for describing a substance might depend on the state of matter the substance is in? Should all voluntary contractual exchanges be allowed among consenting adults? You may assume in each case that the people involved are sane, rational adults who have thought about the alternatives and consequences of what they are doing. In each case, decide whether you approve, and if you do not approve, whether you think the transaction should be prohibited. In each case explain why the transaction described produces mutual benefits (that is, it is a Pareto improvement over not allowing the exchange). While answering the questions, consider them in specific contexts such as religious beliefs, moral values, i.e., how would you answer them in different countries or time periods. The QUADRATIC curve-of-best-fit for the data in the table is given by the equation A) y = 0.8x2 + 1.7x - 1.4. B) y = 1.1x2 + 2.2x - 1.2. C) y = 1.4x2 - 2.9x + 1.0. D) y = 2.3x2 - 2.4x + 3.5 A small farm made available to an american indian family was known as An investment wil pay you $27,500 in 11 years. The statedinterest rate is 12% (APR). If interest is compoundedsemi-annually, what is the present value?