How do I solve this? Not really getting at how and where the ropes are meeting.
Farmer Goldie McDonald is planning to lay a water pipe through a small bill. She needs to determine the length of pipe needed. From a point off to the side of the hill on level ground, she runs one rope to the pipe's entry point and a second rope to the exit point. The first rope measures 14.5 meters and the second is 11.2 meters. The two ropes meet at an angle of 58 degrees. What is the length of pipe needed? At what angle with the first rope should the pipe be drilled so that it comes out at the correct exit point?

Answer:

a) (0,5)

Step-by-step explanation:

The two fractions with denominators of 2 and 6 that add up to 19/3 are 3/6 and 29/3, respectively.

First, let's break down what that mixed number means in terms of fractions. 6 1/3 is the same as 19/3.

Now, we need to find two fractions with different denominators that add up to 19/3. One way to do this is to use a common denominator. To find a common denominator, we need to find the least common multiple (LCM) of the two denominators.

Let's say we want to find two fractions that add up to 19/3, with denominators of 2 and 6. The LCM of 2 and 6 is 6. So, we can rewrite the fractions with a denominator of 6:

1/2 = 3/6

x/6

Now we need to find the value of x that makes the sum of the fractions equal to 19/3:

3/6 + x/6 = 19/3

To solve for x, we can multiply both sides by 6:

3 + x = 38/3

Then, we can subtract 3 from both sides:

x = 29/3

To know more about fraction here

https://brainly.com/question/10354322

#SPJ4

The sum of the parts 11/7 and 12/5 of pizza is 139/35.

It is given that the parts of pizza are:

\(1. 11/7\\2. 12/5\\\)

It is required to find sum of the parts of pizza.

Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called denominator.

Calculating the sum of the parts of pizza:

\(=\frac{11}{7}+\frac{12}{5}\)

\(=\frac{139}{35}\)    

Thus, the sum of the parts 11/7 and 12/5 of pizza is 139/35.

Learn more about the fraction here:

https://brainly.com/question/1301963

Percentage change = 10%

We can use the formula:

Percent change = \(\frac{New-Old}{Old}\) x 100

Percent change = \(\frac{77-70}{70}\)x100

Percent change = \(\frac{7}{70}\) x 100

Percent change = 0.1 x 100

Percent change = 10%

Answer: 53.9

Step-by-step explanation:

\( \frac{24}{13} = \frac{x}{39} \)

We move 39 to multiply 24/13.

\( \frac{24}{13} (39) = x \\ 24(3) = x \\ 72 = x\)

Substitute x = 72 in the equation.

\( \frac{24}{13} = \frac{72}{39} \\ \frac{24}{13} = \frac{24}{13} \)

The equation is true for x = 72.

\( \large \boxed {x = 72}\)

two rectangles to be similar, their sides have to be proportional (form equal ratios). The ratio of the length should equal the ratio of the width.

thus,

Therefore x=20.

Answer:

  11.4

Step-by-step explanation:

You want the distance between C(-5, 5) and D(4, -2).

The distance formula is ...

  d = √((x2 -x1)² +(y2 -y1)²)

For the given points, the distance is computed to be ...

  d = √((4 -(-5))² +(-2 -5)²) = √(81 +49) = √130

  d ≈ 11.4

The length of CD is about 11.4 units.

__

Additional comment

The distance formula is an application of the Pythagorean theorem. It computes the hypotenuse of a right triangle whose legs are the differences in x- and y-coordinates.

Answer:

Reasons:

Reason 1. Given

Statement 2 is incorrect.

Statement 2 should be: <AEB is congr <CED

Reason 2. Vertical angles are congruent

Reason 3. Given

Reason 4. Theorem: Alt int. angles of parallel lines

Reason 5. AAS

The approximate difference in the ages of the two cars, which  depreciate to 60% of their respective original values, is 1.7 years.

Depreciation is to decrease in the value of a product in a period of time. This can be given as,

\(FV=P\left(1-\dfrac{r}{100}\right)^n\)

Here, (P) is the price of the product, (r) is the rate of annual depreciation and (n) is the number of years.

Two different cars each depreciate to 60% of their respective original values. The first car depreciates at an annual rate of 10%.

Suppose the original price of the first car is x dollars. Thus, the depreciation price of the car is 0.6x. Let the number of year is \(n_1\). Thus, by the above formula for the first car,

\(0.6x=x\left(1-\dfrac{10}{100}\right)^{n_1}\\0.6=(1-0.1)^{n_1}\\0.6=(0.9)^{n_1}\)

Take log both the sides as,

\(\log 0.6=\log (0.9)^{n_1}\\\log 0.6={n_1}\log (0.9)\\n_1=\dfrac{\log 0.6}{\log 0.9}\\n_1\approx4.85\)

Now, the second car depreciates at an annual rate of 15%. Suppose the original price of the second car is y dollars.

Thus, the depreciation price of the car is 0.6y. Let the number of year is \(n_2\). Thus, by the above formula for the second car,

\(0.6y=y\left(1-\dfrac{15}{100}\right)^{n_2}\\0.6=(1-0.15)^{n_2}\\0.6=(0.85)^{n_2}\)

Take log both the sides as,

\(\log 0.6=\log (0.85)^{n_2}\\\log 0.6={n_2}\log (0.85)\\n_2=\dfrac{\log 0.6}{\log 0.85}\\n_2\approx3.14\)

The difference in the ages of the two cars is,

\(d=4.85-3.14\\d=1.71\rm years\)

Thus, the approximate difference in the ages of the two cars, which  depreciate to 60% of their respective original values, is 1.7 years.

Learn more about the depreciation here;

https://brainly.com/question/25297296

Answer:

Answer is 46.50

Step-by-step explanation:

I look everywhere and said it was this hehe

Answer:

(x°/360°)(2π)(53) = 100.7

a) x = (360 × 100.7)/(2π × 53)

= about 108.86°

b) 108.86°(π/180°) = about .605π radians

= 1.9 radians

According to the question we have  approximately 99.74 percent of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt.

To answer this question, we will use the normal distribution formula and z-score.

First, we need to find the z-score for the lower limit of $1.20:

z = (1.20 - 1.50) / 0.10 = -3

Next, we need to find the z-score for the upper limit of $1.80:

z = (1.80 - 1.50) / 0.10 = 3

Now, we can use a z-table to find the area under the curve between these two z-scores.

The area to the left of z = -3 is 0.0013, and the area to the left of z = 3 is 0.9987.

To find the area between these two z-scores, we subtract the area to the left of z = -3 from the area to the left of z = 3:

0.9987 - 0.0013 = 0.9974

Therefore, approximately 99.74% of customers are willing to pay between $1.20 and $1.80 for a pint of frozen yogurt.

To know more about Percent visit :

https://brainly.com/question/31323953

#SPJ11

Answer:

Given the equations, I plotted 2 lines.

Line 1               Line 2

 x  |  y                x  |  y  

 0  | 101             0  |  -5

  1  |  101             1  |  -6

Answer:

3/10

Step-by-step explanation:

The critical values for this test are -2.201 and 2.201. If your test statistic falls outside this range, you would reject the nullSo, the critical values for this test are -2.201 and 2.201. If your test statistic falls outside this range, you would reject the null hypothesis in favor of the alternative hypothesis (H1: μ ≠ μ0). in favor of the alternative hypothesis (H1: μ ≠ μ0).

To determine the critical values for a two-tailed test with a sample size of n = 12 and a significance level of α = 0.05, we need to consult a t-distribution table.

First, we need to find the degrees of freedom, which is equal to n - 1 = 12 - 1 = 11.

Next, we look up the t-value for a two-tailed test with a 0.025 level of significance (0.05/2) and 11 degrees of freedom. From the t-distribution table, we find that the t-value is 2.201.

Therefore, the critical values for a two-tailed test of a population mean at the α = 0.05 level of significance based on a sample size of n = 12 are -2.201 and +2.201.

This means that if our calculated t-value falls outside of this range, we can reject the null hypothesis (H0: μ = μ0) in favor of the alternative hypothesis (H1: μ ≠ μ0) at the 0.05 level of significance.

To determine the critical values for a two-tailed test of a population mean at the α = 0.05 level of significance with a sample size of n = 12, you'll need to use a t-distribution table.

Since it's a two-tailed test, you'll need to find the t-score that corresponds to α/2, which is 0.025 in each tail. With a sample size of 12, you have 11 degrees of freedom (df = n - 1).

Looking up the t-distribution table with df = 11 and α/2 = 0.025, you'll find the critical t-value to be approximately ±2.201.

Visit here to learn more about Two Tailed Test:

brainly.com/question/30074072

#SPJ11

Answer:

10/3 and 23/4

Step-by-step explanation:

Answer:

9 1/12

Step-by-step explanation:

3 1/3 + 5 3/4

Get a common denominator of 12

3   1/3*4/4 +  5  3/4 *3/3

3 4/12 + 5 9/12

8 13/12

8 + 12/12 + 1/12

8+1+1/12

9+1/12

9 1/12

Changing to improper fraction

3 1/3 = ( 3*3+1)/3 =10/3

5 3/4 = ( 4*5+3)/5 =23/4

Getting a common denominator

10/3 * 4/4 = 40/12

23/4 *3/3 =69/12

                   -------------

                   109/12

12 goes into 109  9 times

9*12 = 108  and that leaves 1 left over

9 1/12

Answer:

Step-by-step explanation:

Answer:

in 25 weeks the stalk grew to 4 inches - false

the stalk grew to a height of 25 inches in 4 weeks - true

each bag can hold 25 cornstalks - cannot be determined

the stalk grew at a rate of 6.25 inches each week - true (25/4 = 6.25)

the quotient 25/4 equals the growth rate of the stalks each week - true

Answer:

3y - 2x

Step-by-step explanation:

Answer:

(5, -2)

Step-by-step explanation:

It is in the middle of the parabola for the points (3, -2) and (7, -2).

Randomly dividing volunteers into groups is a better experimental design than allowing the volunteers to choose their experimental group because it minimizes bias and increases the validity of the study.

The experimental design is the framework of any scientific experiment that outlines the different steps that will be used to conduct the research. In psychology, experiments typically involve comparing two or more groups of participants that have been assigned to different experimental conditions.Randomly dividing volunteers into groups is a better experimental design than allowing the volunteers to choose their experimental group because it minimizes bias and increases the validity of the study. If participants were allowed to choose their own group, there is a high likelihood of self-selection bias.

This is a type of bias that occurs when participants are allowed to choose their own groups. In most cases, the participants choose groups that they feel are more beneficial to them. This means that the results of the experiment may be biased towards the preferences of the participants. Random allocation of participants to different groups ensures that any differences between the groups are not due to differences in the participants' characteristics and are due to the independent variable.

To know more about dividing visit:

https://brainly.com/question/15381501

#SPJ11

Answer:

B

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

Step 1: Take log of both sides.

Step 2: Simplify.

Step 3: Subtract 0.5x from both sides.

Step 4: Divide both sides by 0.5.

Step 5: Check if solution is correct.

Therefore, x = -3.

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Answer:

Cameron found 23 quarters and 57 dimes.

Step-by-step explanation:

Let the number of quarters Cameron found = Q

And the number of dimes = D

Since, total number of coins were 80,

Q + D = 80 -----(1)

Total amount of the coins was $11.45,

0.1D + 0.25Q = 11.45

10D + 25Q = 1145

2D + 5Q = 229 -----(2)

Equation (1) multiplied by 2 then subtracted by equation (2),

(2D + 5Q) - 2(Q + D) = 229 - 2(80)

(2D - 2D) + (5Q - 2Q) = 229 - 160

3Q = 69

Q = 23

From equation (1),

23 + D = 80

D = 57

Cameron found 23 quarters and 57 dimes.

M' A'T" H' is (1,1) and (2.5) equals 3.6 to form a quadrilateral. A two-dimensional shape with four sides, four vertices, and four angles is referred to as a quadrilateral.

Let the scale factor of quadrilateral is center at 2.5 at (1, 1) then

(1,1) and (2.5) equals 3.6

(1,1) + (2.5) =  3.6

Therefore, the statement exists true about the dilation is

D. \(\frac{}{A'T'}\) will overlap \(\frac{}{AT}\)

A. \(\frac{}{M'A'}\) will overlap \(\frac{}{MA}\)

E. The slope of \(\frac{}{HT}\) is equal to the slope of \(\frac{}{H'T'}\)

To learn more about Quadrilateral refer to:

https://brainly.com/question/23935806

Answer:

16

Step-by-step explanation:

Step-by-step explanation:

M=9 so m+n becomes 9+n.

N=7 so 9+n becomes 9+7.

9+7=16