What is the length of the missing leg in the triangle below? 15 yd 가 12 yd

Answer:

2 \(\frac{2}{9}\) days

Step-by-step explanation:

Let d = the number of days.

\(\frac{1}{4}\) d = \(\frac{1}{5}\)d = 1

\(\frac{5}{20}\) d + \(\frac{4}{20}\) d = 1

\(\frac{9}{20}\) d = 1  Multiply both sides by \(\frac{20}{9}\)

(\(\frac{20}{9}\))(\(\frac{9}{20}\)) d = 1(\(\frac{20}{9}\))

d = \(\frac{20}{9}\)   I can break 20 into 9 + 9 + 2

d = \(\frac{9}{9}\) + \(\frac{9}{9}\) + \(\frac{2}{9}\)           \(\frac{9}{9}\) = 1

d = 1 + 1 + \(\frac{2}{9}\)

d = 2 \(\frac{2}{9}\)

Answer:4 hours

Step-by-step explanation:

7 divided by 5= 1.4

1.4x4=5.6

The time Jack left Santa Clara is 1 : 55 pm

A word problem in math is a math question written as one sentence or more. These statements are interpreted into mathematical equation or expression.

The time for Jack to walk to lose Altos is 25 min and he uses another 25mins to work to Palo alto.

Therefore, the total time he spent is

25mins + 25 mins = 50 mins

He arrived Palo at 2 :45 pm, therefore the time he left Santa Clare will be ;

2:45 pm = 14 :45

= 14:45 - 50mins

= 13:55

= 1 : 55pm

Therefore he left at 1:55 pm

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Given

Find

degree of the polynomial

Explanation

Degree of the polynomial is the highest power of the variable in the equation

Here the highest power of x is 6

hence the degree of the polynomial is 6

Final Answer

degree = 6

option (b) is correct

Answer: 2.4

Step-by-step explanation: Given the angles below, the length of EF will be 2.4

Answer:

B) 3.8.

EF = 3.8

Use the law of sines to find the unknown length EF

Answer:

11

Step-by-step explanation:

Substitute 3 for b

23 - 4(3)

Multiply 4(3) = 12

23 - 12

Subtract

23 - 12 = 11

Answer:

\(11\)

Step-by-step explanation:

\(b = 3 \\ \\ 23 - 4b \\ 23 + 4 \times 3 \\ 23 - 12 \\ 11\)

hope this helps you

Have a nice day!

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

Practice more quarters related questions

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Answer:

Black

Step-by-step explanation:

Answer:

the expression would be 3(7+s)

Answer:

2

Step-by-step explanation:

y=mx+n m is slope

y-6=2(x+3) so y=2x+12  m=2 is slope.

Answer:

X=396.38

Step-by-step explanation:

X=396.38

Answer:

(x1 + x2) , (y1+y2)

   2              2

Step-by-step explanation:

The perimeter of PQRS would depend on the lengths of the tangent segments and the lengths of the intercepted arcs. Without specific measurements, we cannot determine the precise perimeter.

To determine the perimeter of quadrilateral PQRS, we need more information about the lengths of the sides or the relationship between the sides and angles. Without specific measurements or additional details, we cannot calculate the exact perimeter of the quadrilateral.

However, we can provide some general information.Since PQ¯ is tangent to circle R at point Q, it is perpendicular to the radius drawn from the center of the circle to point Q. Similarly, PS¯ is tangent to circle R at point S, so it is perpendicular to the radius drawn to point S.

The quadrilateral PQRS is formed by the tangents PQ¯ and PS¯ along with the two arcs intercepted by these tangents on the circle R.

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\(y = - \frac{28}{48x - 15} - \frac{125}{321} \)is the answer.

Step-by-step explanation:

For this question,

• First, find the slope of the line parallel to the line 5/8x−7/6y=2 :-

\(m = - \frac{28}{ - 15 + 48x} \)

•Second, find the equation of the line,

\(y = - \frac{28}{48x - 15} - \frac{125}{321} \)

After answering the presented question, we can conclude that expressions Therefore, the population of the rural city in 2030 is approximately 11,014.18.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.

To approximate the population in 2030, we need to find the value of P(t) when t = 44, since 2030 is 44 years after 1986.

Using the given exponential growth model, we have:

\(P(t) = 3400^(0.0371t)\\P(44) = 3400^(0.0371*44)\\P(44) = 3400^1.6334\\P(44) = 11014.18\\\)

Therefore, the population of the rural city in 2030 is approximately 11,014.18.

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Answer:

The answer is 10 1/2.

Step-by-step explanation:

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

15/4×14/5

Next:

Apply the fractions formula for multiplication,

=15/4×14/5

=210/20

Last:

Simplify 210/20, the answer is

=10 1/2

Hope this helped! =)

Answer:

-1/7

Step-by-step explanation:

If you count up once, for the y-value, then count over 7 times for the x-value, you get 1/7, rise over run.

Then, if you see the slope going backwards, you can see it is negative. Therefor, we get -1/7 for the slope.

Answer:

Set A

Step-by-step explanation:

A negative linear association will always have a negative slope , a negative association can also be be detected from the data given, as the y value will decrease as the x values increases or vice versa.

The plot of the set A is attached Below with a correlation of - 1, meaning a strong negative relationship exists between the x and y variables.

Their property tax would be =$ 26,460

A mill is one-thousandth of a dollar, and in property tax terms is equal to $1.00 of tax for each.

Therefore 27 mills = $27 for every $1,000 of assessed value, or 2.7%.

To calculate the property tax would

= 27/100× 98,000

= 2646000/100

=$ 26,460

Therefore, Their property tax would be =$ 26,460

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Let's assume that John buys x boxes of Cereal A and y boxes of Cereal B. Then, we can write the following system of inequalities based on the nutrient and calorie requirements:

10x + 5y ≥ 500 (minimum 500 units of vitamins)

5x + 10y ≥ 600 (minimum 600 units of minerals)

15x + 15y ≥ 1200 (minimum 1200 calories)

We want to minimize the cost, which is given by:

0.5x + 0.4y

This is a linear programming problem, which we can solve using a graphical method. First, we can rewrite the inequalities as equations:

10x + 5y = 500

5x + 10y = 600

15x + 15y = 1200

Then, we can plot these lines on a graph and shade the feasible region (i.e., the region that satisfies all three inequalities). The feasible region is the area below the lines and to the right of the y-axis.

Next, we can calculate the value of the cost function at each corner point of the feasible region:

Corner point A: (20, 40) -> Cost = 20

Corner point B: (40, 25) -> Cost = 25

Corner point C: (60, 0) -> Cost = 30

Therefore, the minimum cost is $20, which occurs when John buys 20 boxes of Cereal A and 40 boxes of Cereal B.

Answer:

Step-by-step

4 oz = 1/4 pound.

1 casserole requires 1/4 pound

28 casseroles require x

1/28 = 1/4 // x        For ease change 1/4 to a decimal

1/28 = 0.25 / x      Cross multiply

1*x = 28 * 0.25

x = 7

We need 7 pounds of cheese to make 28 dishes.

Answer:

x=5

Step-by-step explanation:

1. Distribute

2. Subtract  8 from both sides of the equation.

3. Simplify

4. Divide both sides of the equation by the same term

5. Simplify

6. Solution : = 5

Answer:

1260°

Step-by-step explanation:

The sum of the measures of the interior angles of a polygon of n sides is

(n - 2)180°

This polygon has 9 sides, so n = 9

sum = (9 - 2)180°

sum = 7(180°)

sum = 1260°

We have to find the slope of a line that is perpendicular to a line with slope 3/4.

Perpendicular lines have slopes that are negative reciprocals. Then, if m1 and m2 are the slopes of two perpendicular lines, we will have:

Then, if one of our lines has a slope of 3/4, perpendicular lines will have a slope m as:

Answer: the slope of a perpendicular line will be -4/3.

Answer:

For number 2 it is = x(f + h)

For number 3 it is = x(g + h)

For number 4 it is = x(h + f)

For number 5 it is = x(f - g)

Hope this helps:)

Answer:

all real values of x where x < -1

The correct statement is all real values of x where x < -1.

Option A is the correct answer.

We have,

To determine the values for which the graph of the function

f(x) = (x - 3)(x + 1) is positive and decreasing, we need to analyze the behavior of the function.

Let's consider the factors individually:

(x - 3): This factor is positive for x > 3 and negative for x < 3.

(x + 1): This factor is positive for x > -1 and negative for x < -1.

To determine the overall sign of the function, we need to consider the signs of both factors together.

When both factors are positive or both factors are negative, the function is positive.

When the factors have opposite signs, the function is negative.

From the above analysis, we can conclude the following:

When x > 3, both factors are positive, so the function is positive.

When -1 < x < 3, the factor (x - 3) is negative, while the factor (x + 1) is positive. Therefore, the function is negative.

When x < -1, both factors are negative, so the function is positive again.

Since we are looking for values where the function is positive and decreasing, we can eliminate the options that include positive and increasing regions (such as x > 3).

Thus,

The correct statement is all real values of x where x < -1.

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Answer:  A)  2/3 is shaded.     B) 66.67%  is shaded.

Step-by-step explanation:

The whole big triangle holds  9 total triangles in it.

Out of the 9  triangles  6 of them are shaded so  the fraction will be 6/9  which reduces to 2/3.  

Now convert 2/3 to a decimal to find what percentage is shaded.

2/3 = 0.6666...  

0.6666 * 100 = 66.666..

66.666  as a percent  is 66.67%