What is the base of a triangle that has an area of 60 square centimeters and a height of 8 centimeters?
A 7.5 cm
B 30 cm
C 52 cm
D 15 cm

Answer:

\(x = 60\)

Step-by-step explanation:

Step 1:  Convert into an equation

Nine less than one forth of a number is 6

\(1/4x - 9 = 6\)

Step 2:  Add 9 to both sides

\(1/4x - 9 = 6\)

\(1/4x - 9 + 9= 6+ 9\)

\(1/4x = 15\)

Step 3:  Multiply both sides by 4

\(1/4x * 4 = 15 * 4\)

\(x = 60\)

Answer:  \(x = 60\)

Answer:

iffjfjfkfkfjfjtigkodgujjdjsjjsjssjcnkjjdjdjjf

Answer:

10 groups

Step-by-step explanation:

because 30 divided by 3 is 10

Answer:

If this is for an f test, just use statcrunch lol

Step-by-step explanation:

Answer:

-2f - 16

Step-by-step explanation:

Combine Like Terms:

-2.8f +0.8f -13-3

-2f - 16

Therefore , the solution of the given problem of angles comes out to be m∠G= 63° is the response to the second component of the query.

The curved lines which make up the ends of a skew are divided by its highest and bottom walls using Cartesian measurements. There is a possibility who two poles will collide at an intersection. Another result of two objects interacting is an angle. They most closely mimic dihedral shapes. Two line beams can be arranged in different ways between their extremities to form a two-dimensional curve.

Here,

m∠E + m∠F + m∠G = 180°

Additionally, we are aware that mE = (5x + 6)°, mF = (4x - 6)°, and mG = (5x - 2)°. When we enter these numbers into the formula above, we obtain:

=> (5x + 6)° + (4x - 6)° + (5x - 2)° = 180°

When we simplify and find x, we obtain:

=> 14x - 2 = 180

=> 14x = 182

=> x = 13

Now that we know the three vectors' values:

=> m∠E = (5x + 6)° = (5(13) + 6)° = 71°

=> m∠F = (4x - 6)° = (4(13) - 6)° = 46°

=> m∠G = (5x - 2)° = (5(13) - 2)° = 63°

In light of this, mE = 71°, mF = 46°, and mG = 63°.

The first portion of the question has the following solution:

=>  m∠EFG = m∠E + m∠F + m∠G = 71° + 46° + 63° = 180°.

m∠G= 63° is the response to the second component of the query.

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The percentage in 2009, calculated from the logarithmic function is given as follows:

16.5%.

Which underestimates the graphed amount by 0.4%.

According to the model, the year in which 18.4% of the domestic gross product will go towards healthcare is:

2020.

The logarithmic function in the context of this problem is given as follows:

f(x) = 1.2ln(x) + 15.2.

In which x is the number of years since 2006.

2009 is three years after 2006, hence the percentage is obtained as follows:

f(3) = 1.2ln(3) + 15.2 = 16.5%.

The percentage on the graph is given by:

16.9%.

Hence the function underestimates the graphed amount by 0.4%.

The year in which 18.4% of the domestic gross product will go towards healthcare is x for which f(x) = 18.4, hence:

18.4 = 1.2ln(x) + 15.2.

1.2ln(x) = 3.2

ln(x) = 3.2/1.2

ln(x) = 2.67.

ln and the exponential are inverse functions, hence:

x = e^2.67 = 14.4.

2006 + 14 = 2020.

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Answer:

3.5in^2

Step-by-step explanation:

Quadratic formula using Lin's theory.

Answer:

use the quadratic formula

Step-by-step explanation:

Answer:

= 40

Step-by-step explanation:

A = 1/2bh

A = 1/2 x 10 x 8

A = 1/2 x 80

A = 40

The numbers, 8 is a multiple of are 1, 2, 4 & 8.

What is a multiple?

Multiples are values which come in other numbers multiplication table. When two numbers are multiplied together, the result is a multiple, or product. For instance, if we say 4 × 5 = 20, here 20 is a multiple of 4 and 5. The other multiples of 4 can be listed as 4 (4 ×1 = 4), 8 (4 × 2 = 8), 12 (4 × 3 = 12), and so on.

Solution/Explanation:

1*8=8

2*4=8

4*2=8

8*1=8

so there are 4 numbers whose multiple is 8.

Let's take a number 6

Now, we know that 6 comes in numbers 1, 2, 3, 6 multiplication table so 6 is a multiple of 1, 2, 3, 6

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When two cars enter an intersection at the same time on opposing paths, one of the cars must adjust its speed or direction to avoid a collision. However, two airplanes can cross paths while traveling in different directions without colliding. This is because airplanes are flying in three-dimensional space, allowing them to fly over or under each other.

Airplanes fly at specific altitudes and have defined flight paths assigned to them by air traffic control. These paths are carefully calculated to ensure that planes traveling in opposite directions do not intersect or collide. The altitude and speed of the airplanes are also precisely controlled to avoid any possible collision.In addition, airplanes are equipped with sophisticated navigation and communication equipment that allows pilots to communicate with air traffic control and other aircraft in the area. This allows pilots to make adjustments to their flight paths or speeds if needed to avoid potential collisions.In contrast, cars are limited to two-dimensional space and are traveling on a single surface.

This makes it much more difficult for drivers to adjust their speed or direction to avoid collisions, especially in busy intersections or when there are other obstacles on the road. Overall, the 3-dimensional space and sophisticated equipment used in airplanes allow them to cross paths without colliding.

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The qyaeriin has no attached diagram. A related diagram was found and used to provide the steps required to solve the problem.

Answer:

1 inch = 8.333 feets

Step-by-step explanation:

Initial dimension of rectangle :

100 feets by 10 feets

Fractional decrease in garden = 2/3

New Dimension of garden :

2/3(100 feets) by 2/3(10 feets)

66.667 feets by 6.6667 feets

Hence

From the picture attached :

8 inch = 66.667

1 inch = 8.333

The new scale of the drawing = 1 inch = 8.333 feets

Answer:

where are the questions??

Step-by-step explanation:

Answer:

Continuous

A continuous random variable has infinitely many values, and those values can be associated with measurements on a continuous scale in such a way that there are no gaps or interruptions.

The vectors u and v are orthogonal when k equals 5 or -2.

Two vectors u and v are orthogonal if their dot product is equal to zero. The dot product of two vectors u and v is given by the formula:

u · v = u₁ × v₁ + u₂ × v₂ + u₃ × v₃

where u₁, u₂, u₃ are the components of vector u, and v₁, v₂, v₃ are the components of vector v.

Let's calculate the dot product of u and v:

u · v = (k × -5) + (k × (k + 2)) + (-2 × 5)

= -5k + k² + 2k - 10

= k² - 3k - 10

For the vectors to be orthogonal, the dot product must be zero:

k² - 3k - 10 = 0

To solve this quadratic equation, we can factor it or use the quadratic formula:

(k - 5)(k + 2) = 0

From this equation, we can see that the values of k that satisfy the equation are:

k = 5 or k = -2

Therefore, the vectors u and v are orthogonal when k equals 5 or -2.

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The linear equation for the given situation is represented as:

20x + 12y = 1,300

correct answer option: b

A general linear equation in two variables is defined as an equation of the form ax + by + c = 0, where x and y are the two variables and a, b, and c are real numbers and a and b are non-zero (x and y).

Given:

We use variables to represent the cost of the big and the smaller boxes.

According to the question, let x be the selling price of the big boxes.

The selling price of the bigger boxes is y.

The total selling price of the smaller boxes is 20x.

The total selling price of the bigger ones is 12y.

Now we know he is making a profit of $1,300 on the total transaction.

Hence the linear equation in two variables for the given situation is represented as:

20x + 12y = 1,300

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I understand that the question you are looking for is:

Jackson sells two types of toolboxes. he plans on selling them during a farming fair this weekend. He estimates he will sell 20 of the smaller boxes (X) and 12 of the larger boxes (Y). if he'd like the profit to be $1300, which of the following best displays the equation that represents this information?

A-  y+12=20(x-1300)

B-  y=- \(\frac{5}{3}\)x+ \(\frac{325}{3}\)

C-  20x+12y=1300

D-  12y=20x-1300

On the number line ranging from negative 1 fourth to positive 3 fourths, labeled in increments of 1 fourth, three points are labeled: A, B, and C.

Points A and B are positioned between 0 fourths and 1 fourth, while point C falls between 1 fourth and 2 fourths.

The corresponding labels for each point are as follows: Point A corresponds to the number negative 1 fourth, Point B corresponds to the number zero, and Point C corresponds to the number positive 1 fourth.

To match the points on the number line with their respective labels, we examine their positions relative to the increments of 1 fourth on the number line.

Since point A is between 0 fourths and 1 fourth, it is positioned to the left of zero. Therefore, the corresponding number for Point A is negative 1 fourth.

Point B is between 0 fourths and 1 fourth, suggesting it is positioned directly on zero. Thus, the number for Point B is zero.

Point C is positioned between 1 fourth and 2 fourths, which implies it is located to the right of zero. Hence, the corresponding number for Point C is positive 1 fourth.

Therefore, the correct matching of points A, B, and C with their respective numbers on the number line is as follows: Point A corresponds to negative 1 fourth, Point B corresponds to zero, and Point C corresponds to positive 1 fourth.

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h = 8

Complementary angles are angles that sum to 90 degrees.

Right Angles

Right angles, which are 90 degrees, are denoted by the box in the corner of the angle. The large angle above has this same mark, so it must be a right angle. Through the angle addition postulate, we know that the 2 smaller angles within the right angle are complementary.

Solving for h

Now we can create an equation that represents this situation.

To solve, subtract 45 from both sides.

Next, add 3 to both sides.

Finally, divide both sides by 6.

This means that h must be equal to 8.

Answer:

Step-by-step explanation:

perimeter of a rectangle  = twice the length  plus  twice the width

P = 2L + 2W    equation 1      P = 86 ft

Given the length is seven feet more than the width

L = W + 7         equation 2

Substitute equation 2 into equation 1

P = 2(W+7) + 2W    =  86 ft

     2W +14 + 2W    =  86 ft

     4W    =  86  - 14

        W   =  72 / 4

        W   =  18 feet

Answer:

The unit rate

Step-by-step explanation:

They both represent the same number. Also, both are written in units.

Answer:

The amount of the discount is calculated by multiplying the subtotal by 15%:

discount = 0.15 x 85.28 = 12.79

The new subtotal after the discount is applied is:

new subtotal = 85.28 - 12.79 = 72.49

The tax on the new subtotal is calculated by multiplying the new subtotal by 6.5%:

tax = 0.065 x 72.49 = 4.71

The final bill, including the tax, is the sum of the new subtotal and the tax:

final bill = 72.49 + 4.71 = 77.20

Therefore, the final bill after the coupon is applied and the tax is paid is $77.20.

Answer:

m=(c-0.15)/0.26

Step-by-step explanation:

c=0.41+0.26m-0.26

0.26m=c-0.15

m=(c-0.15)/0.26

Answer:

8 and 25

Step-by-step explanation:

We can set up an equation to help solve this problem.

Let x represent the smaller number

x+(x+17)=33

2x+17=33

2x=16

x=8

The smaller number is 8

Add 17 to 8

The larger number is 25

Answer:

Smaller number:8 larger number:25

Step-by-step explanation:

25-8=17

25+8=33

You can also set up an equation to help things be easier.

when we take x = 9.33, the equation becomes true, which means that the linear equation has one solution.

Here we have the following linear equation:

15 + 3*(2x - 9) = 44

And we want to see if this has a solution, it means that there is a value of x such that the equation becomes true. Let's see that.

To do it, we need to isolate the variable, x, in one of the sides of the equation.

Expanding the product we get:

15 + 3*2x - 3*9 = 44

Moving the terms without x to the right side:

15 + 6x - 27 = 44

6x = 44 + 27 - 15 = 56

Now we can divide both sides by 6 so we get:

x = 56/6 = 9.33

So, when we take x = 9.33, the equation becomes true, which means that the linear equation has one solution.

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Answer:

Sendiks.

Step-by-step explanation:

Sendiks- 6 ÷ 3.80= $1.58 per can

Sam's Club- 12÷6.90= $1.74 per can

The value of quadratic function is,

⇒ y = 9x² + 54x - 63

An algebraic equation with the second degree of the variable is called an Quadratic equation.

We have to given that;

The equation is,

⇒ y = 9 (x - 1) (x + 7)

Now, We can find the quadratic equation as;

⇒ y = 9 (x - 1) (x + 7)

⇒ y = 9 (x² + 7x - x - 7)

⇒ y = 9 (x² + 6x - 7)

⇒ y = 9x² + 54x - 63

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Answer:

(x-5) & (x+1)

Step-by-step explanation:

Answer:

(x - 5) and (x + 1)

Step-by-step explanation:

x² - 4x - 5

consider the factors of the constant term (- 5) which sum to give the coefficient of the x- term (- 4)

the factors are - 5 and + 1 , since

- 5 × + 1 = - 5 and - 5 + 1 = - 4 , then

x² - 4x - 5 = (x - 5)(x + 1)

Answer: 18 mega rolls

Step-by-step explanation:                      

Answer:

the second one is a better deal.

Step-by-step explanation:

first deal:

6 rolls for 9.24

9.24/6 = 1.54

1.54$ per roll

second deal:

18 rolls for 27.54

27.54/18 = 1.53

1.53$ per roll

the second one is one cent cheaper

Answer:

output

-4

-2

0

Step-by-step explanation:

at x = -4 , y= -4

x = 1, y = -2

x = 2, y = 0

general equation of cubic polynomial is :

And we know the product of its roots is equal to

by equating the given equation with general equation,

we get :

therfore, the product of their roots :

Answer = 6

i hope it helped.....