The area of the triangle below is 38.28 square meters. What is the length of the base?

Answer:

3,952 ft

Step-by-step explanation:

Use the sine function since you need to find the hypotenuse but know the opposite side of the angle, since sine is equal to opposite/hypotenuse.

sin8°=\(\frac{550}{c}\)

csin8°=550

c=550/sin8°

c= 3,952

The type of angle in which angle 3 and angle 6 are, is that they are alternate interior angles ( option C)

Angles in parallel lines are angles that are created when two parallel lines are intersected by another line called a transversal.

Since line c and line b are parallel to each other and line a is the transversal that cut through both of them the angle on line a and line b will have the following characteristics;

They can be;

supplementary

alternate exterior

alternate interior

vertically opposite

and corresponding

The property between angle 3 and angle 6 is that they are alternate interior to each other.

Therefore angle 3 and angle 6 are alternate interior angles.

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Answer:

The correct answer is A. Milk has about 1/3 as many hydrogen ions as lemon juice.

Step-by-step explanation:

Given that the PH indicates the amount of hydrogen ions present in a certain solution, and that, the higher the PH, the lower this amount will be, if the milk has a PH of 6 and the lemon has a PH of 2, to calculate the respect correct, the following calculation must be performed:

2/6 = 1/3 = 0.333

Therefore, milk has about 1/3 as many hydrogen ions as lemon juice.

Answer:

Step-by-step explanation:

option b, it's not option a do not choose option a!

Answer:

45°

Step-by-step explanation:

in straight lines that intersect like this, if one angle is 55°, the one opposite to it will be equivalent. this means (x+10)° equals 55°. then you work out what x is. so x+10=55 so we can subtract 10 from both sides to get x=45°

Answer:

46 boxes

Step-by-step explanation:

1012 / 22 = 46

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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According to the information we can infer that the change between 11 and 12 is 1.3 m/hr

To establish the value of the change in height between 11 and 12 we must look at the values of the y axis. According to this information we can establish that 11 o'clock coincides with 5.2 and 12 o'clock coincides with 3.9. So we must subtract these two values:

According to the above, we can infer that the change between these two hours is 1.3 m/hr.

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Answer:

Area of question = 336.14

Step-by-step explanation:

Step One

Find the area of the rectangle, ignoring the semi-circles at each end.

L = 35  cm

W = 14 cm

Area = L * W

Area =35 * 14 = 490 cm^2

Step Two

You will drive yourself a little mad is you don't realize that the two end sem-circles = 1 whole circle.

Find the area of the circle

r = d/2

r = 14/2

r = 7

Area = pi * r^2

Area = 3.14 * 7^2

Area = 3.14 * 49

Area = 153.86 cm^2

Area of question

Area of the rectangle - Area of the circle

490 - 153.86 = 336.14  cm^2

The expression for the given word phrase is

46M + M² + 2 + 1/M²

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = M

Reciprocal of M = 1/M

Now,

46 x (M + 1/M)²

Step 1:

46M + M² + 2 + 1/M²

Thus,

The expression is 46M + M² + 2 + 1/M²

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The error in the given derivation is;

C. In step 3, cos²(x) - 1- cos²(x) should be cos²(x) - 1 + cos²(x).

Step 1; cos(2x) = cos²(x) - sin²(x)

Now, we know in trigonometric identity that;

sin²(x) = 1 - cos²(x)

Thus;

Step 2; cos(2x) = cos²(x) - (1 - cos²(x))

Open the bracket to get;

Step 3; cos²(x) - 1 + cos²(x)

Step 4; 2cos²(x) - 1

Looking at the steps given in the question, it is obvious that step 3 is not correct because os²(x) - 1 - cos²(x) should be cos²(x) - 1 + cos²(x)

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Answer:

A walking speed of 3 to 4 miles per hour is typical for most people. However, this can vary based on many factors including your fitness level, overall health, and age.

Step-by-step explanation:

Answer:

It’s 17.39 but rounded 17.40

Step-by-step explanation:

13.5-11.5=2

2/11.5=.1739…

.1739*100= 17.39

By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.

To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.

Let's start by graphing the constraints:

1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.

2. Plot the line -x + 3y = 6 using a similar process.

3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.

Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.

Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.

Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.

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Answer:

hmmm

Step-by-step explanation:

what does the j, k, m, and l stand for?

Answer:

There were 24 females and 36 men on the bus

Step-by-step explanation:

To find the amount of females on the bus you multiply the 60 passengers by 0.4 to mimic the 40% and you get 24. So there were 24 females and to find the men you simply subtract 24 and 60 to get 36

The dimensions of the rectangular garden to maximize the area is length = width = 75 meters.

Let l be the length and w be the width of the rectangular garden.

We need to find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.

The perimeter of the  rectangular garden = 300 meters

We know that the perimeter of the rectangle =2(length + width)

300 = 2(l + w)

l + w = 150               .......(1)

Now, the maximum area of a  rectangular garden is when Length  = width

So, for equation 1

l + l = 150

l = 75 meters

So, w = 75 meters

And the area of the rectangular garden = length * width

                                                               = 75 * 75

                                                               = 5625 m²

So the maximum area of the  rectangular garden is 5625 m²

Therefore, the dimensions of the garden to maximize the area is length = width = 75 meters and maximum area is  5625 m²

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Step-by-step explanation:

x -y = -3 can be solved easily then 4x+3y= -5

To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.

Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.

To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406

To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.

To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.

Therefore, the completed sequence is:

7444> →→19- → -7406 → -14831 → -22256

Each term in the sequence is obtained by subtracting 7425 from the previous term.

It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.

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x = 301/56

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expression

Given the algebraic expression,

\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)

Step 1:

Simplify the expression by converting the mixed numbers into improper fractions:

25/8 ÷ ( x - 119/28) = 17/18 + 11/6

Step 2: Simplify the right side of the equation

25/8 ÷( x - 119/28) = 17/18 + 33/18

25/8 ÷( x - 119/28) = 50/18

Step 3: Multiply both sides of the equation by (x - 119/28)

25/8 = 50/18 × (x - 119/28)

Step 4: Multiply both sides of the equation by (18/50)

25/8 × (18/50) = (x - 119/28)

Step 5: Simplify the left side of the equation

9/8 = (x - 119/28)

Step 6: Add 119/28 to both sides of the equation

9/8 + 119/28 = x

Step 7: Calculate the value of x:

x = 9/8 + 119/28

= 63/56 + 238/56

= 301/56

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This means that the football’s height when it was kicked 41 yards away was -1.762 yards.

A yard is a unit of length measurement in the imperial and US customary systems of measurement. It is equal to 3 feet or 36 inches.

The equation given is a parabolic equation which models the path of the football. It is a quadratic equation in the form of y = ax² + bx + c, where a, b, and c are coefficients that determine the shape of the path. The coefficient a represents the rate of change in the football’s height as it moves away from the punter. In this equation, a is -0.035, which indicates that the football’s height decreases as it moves away from the punter. The coefficient b indicates the rate of change in the football’s height as it moves back toward the punter, and in this equation, b is 1.4, which means that the football’s height increases as it moves back towards the punter. Finally, the coefficient c is 1, which indicates the height of the football when it is kicked.

In this case, the football was kicked 41 yards, so plugging x = 41 into the equation gives us y = -0.035(41²) + 1.4(41) + 1 = -1.762.

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The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.

To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:

Area = (1/2) * a * b * sin(C),

where a and b are the lengths of the two sides adjacent to the given angle C.

In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:

c² = a² + b² - 2ab * cos(C),

where C is the angle opposite side c. Rearranging the formula, we have:

b² = a² + c² - 2ac * cos(C),

b² = 86² + 37² - 2 * 86 * 37 * cos(128°).

By substituting the given values and calculating, we find b ≈ 63.8.

Now, we can calculate the area using the formula:

Area = (1/2) * a * b * sin(C),

Area = (1/2) * 86 * 63.8 * sin(128°).

By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.

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Therefore, the system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made is.

\(0.1x + 0.2y = 70\)

\(y = 3x\)

Where x represents the number of liters of Drink B made, and y represents the number of liters of Drink A made.

Let's define the variables as follows:

Let x be the number of liters of Drink B produced.

Since the company produced 3 times as many liters of Drink A as liters of Drink B, let y be the number of liters of Drink A produced, so y = 3x.

Now, let's write the system of equations:

The total amount of real fruit juice used is 70 liters, so we can write:

\(0.1x + 0.2y = 70\)

Substituting y = 3x into the above equation, we get:

\(0.1x + 0.2(3x) = 70\)

Simplifying the equation:

\(0.1x + 0.6x = 70\)

\(0.7x = 70\)

\(x = 100\)

So, the company made 100 liters of Drink B and 3 times as many liters of Drink A, or 300 liters of Drink A.

Therefore, the system of equations that could be used to determine the number of liters of Drink A made and the number of liters of Drink B made is:

\(0.1x + 0.2y = 70\)

\(y = 3x\)

Where x represents the number of liters of Drink B made, and y represents the number of liters of Drink A made.

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Answer:

\(w^{22}\)

Step-by-step explanation:

\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)

Answer:

I think you have to do 25 x 60?

Try it.

Answer:

one solution

Step-by-step explanation:

2x+3y=6      multiply this equation  with 3

-3x+5y=-15    multiply this equation  with 2

so

6x+9y=18

-6x+10y=-15

----------------------

add these equation

so 6x-6x+9y+10y=18-15

     19y=3

y=3/19

so 2x+3*3/19=6      multiply this equation  with 19

2x*19+9=6*19

38x+9=114

-9          -9

38x=105

x=105/38

Answer:

E) 1

Step-by-step explanation:

this is when both functions have the same value

Answer:

The forecasted sale for the month of November is $1,675.

Step-by-step explanation:

A moving average can be described as a series of averages of different subsets that is calculated from the full data set.

Using the 4-period moving averages to calculate the forecasted sale of ice cream in the month of November therefore implies the average of sale of ice cream in the 4 months preceding November. And these 4 months are July, August, September, and October.

Therefore, we have:

Forecasted sale for the month of November = (Sales in July + Sales in August + Sales in September + Sales in October) / 4 = ($2,200 + $1,800 + $1,500 + $1,200) / 4 = $6,700 / 4 = $1,675