A cardinal is sitting 15ft up in a tree and spies some birdseed on the ground. If the bird must travel 17.3ft to get from the tree to the birdseed, what is the angle of depression it must fly? Round your answer to the tenth of a degree.

Answer:

Blue

Step-by-step explanation:

Answer:

multiply 6 on both sides

Step-by-step explanation:

you multiply 6 on both sides to get x by its self so your answer in total would be 21

Given:

The graph of a trend line.

To find:

The equation of the trend line is slope intercept form.

Solution:

From the given graph it is clear that the equation of the trend line is passes through the points (0,25) and (5,50).

Slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{50-25}{5-0}[/tex]

[tex]m=\dfrac{25}{5}[/tex]

[tex]m=5[/tex]

The line passes through the point (0,25). So, the y-intercept of the line is 25.

Slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

The slope intercept from of the line is:

[tex]y=(5)x+(25)[/tex]

[tex]y=5x+25[/tex]

Therefore, the equation for the trend line in slope -intercept form is [tex]y=5x+25[/tex].

Answer:

Step-by-step explanation:

 it's 125 for the radius and also 125-62 = 63

so 125+63 = 188

188 * 62 = X^2

11656 = X^2

107.96 = x

108.0  = x  ( to the nearest tenth )

The perpendicular distance x from the end of the passage to either side of the mound is : 107.93 feets

Diameter = 250

To obtain the perpendicular distance, x :

We use the relation : x × x = Length to either side of mound :

Mathematically ;

x × x = 62 ft × (250 - 62)

x² = 62 × 188

x² = 11656 ft²

Take the square root of both sides ;

x = √11656

x = 107.9629 ft

Hence, the perpendicular distance x from the end of the passage to either side of the mound is : 107.93 feets

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Answer:

1/4

Step-by-step explanation:

Favorable Outcomes/ All Possible Outcomes= 2/8

2/8= 1/4

The answer is 1/4.

Answer:

A

Step-by-step explanation:

see attached .

hope it's helps .

Answer:

1/18

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

Answer:

subtraction property for sure its that

Answer:

Step-by-step explanation:the answer will be 100

Answer:

45.36 square inches

Step-by-step explanation:

Given the following

Surface area of a triangular prism  = 18 square inches

If it is enlarged by a scale factor of 2.52, the area of the enlarged solid is expressed as;

Area of enlarged solid = area of original sold * scale factor

Area of enlarged solid = 18 * 2.52

Area of enlarged solid = 45.36 square inches

hence the surface area of a similar solid that has been enlarged by a scale factor of 2.52 is 45.36 square inches

Answer:45.36 square inches

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Each of the green lines has 3 times the length of the corresponding blue line.  Thus the dilution factor is 3.

Answer:

Lower and upper quartiles(B)

Step-by-step explanation:

Complete question :

There is 1/3 gallons of water in a 3-gallon container. What fraction of the container is filled? 1. Write a multiplication equation and a division equation to represent the situation. Use "?" to represent the unknown quantity. Do not use parentheses in either of the equations.

Answer:

1 /9

Step-by-step explanation:

Capacity of container = 3 gallons

Amount of gallons in container = 1/3 gallon.

Fraction of water in container:

Division equation :

Amount of gallon in container / capacity of container

1 /3 ÷ 3 = 1/ 9

Multiplication equation :

1/3 of 1 gallon

Capacity of container = 3 gallons

1/ 3 * inverse of 3

1/3 * 1/3 = 1/9

Answer:

8) 22

9) cos 33°

10) 55

Step-by-step explanation:

[tex]8) \: \: \: \tan(x) = \frac{6}{15} \\ x = \tan^{ - 1} ( \frac{6}{15} ) \\ x = 21.8 \\ x = 22 \\ \\ \\ 9) \: \: \: \: \: \sin(57) = 0.83867.... \\ \cos(33) = 0.83867.... \\ \\ \\ 10) \: \: \: \cos(35) = 0.8192..... \\ \sin(55) = 0.8192.... \\ so \: \: \: z = 55[/tex]

I hope that is useful for you :)

Answer:

5a(a + 2)

Step-by-step explanation:

Given

(3a + 1)² - 4a² + 4a - 1 ← expand factor using FOIL

= 9a² + 6a + 1 - 4a² + 4a - 1 ← collect like terms

= 5a² + 10a ← factor out 5a from each term

= 5a(a + 2)

Answer:

Smaller sample gives worse data. More samples give better data.

Step-by-step explanation:

A sample is the number of elements that are used in a given experiment.

For example, if you do a survey to 100 random people, then your sample is 100 people.

Here we can see something kinda obvious, if you increase your sample, then more people answer your survey, wich means that more samples give more data, and more data is better, then more sample gives better data.

We also can see that if we have a small sample (for example 10 people) the survey will not be really useful, this happens because if we have really small samples the sample may be biased, and we always want to aboid this.

Then:

Smaller samples give worse data, and as we increase the samples, we also get better data.

The correct option is:

"Smaller sample gives worse data. More samples give better data."

median= 7 middle part

range=7 because 8-1 or highest minus lowest numbers

mode= you got the answer

Answer:

5x = 15?

Step-by-step explanation:

Answer:

Step-by-step explanation:

.......

Answer:

The expression will be : (x+9) /2

An algebraic expression is an expression built up from integer constants , variables , and the algebraic operations.

Let us take the number to be : x

Now, ( half of the sum of 9 and a number ) will be : (x+9)/2

Dividing x and 9 with 2 we get,

the second expression which is different but equivalent to first will be :

=0.5 x + 4.5

Learn more about algebraic expression :

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Answer:

3/20

Step-by-step explanation:

Fabric left over = total fabric purchased - total fabric used to make a tote bag

total fabric used to make a tote bag = [tex]4\frac{2}{8}[/tex] × [tex]\frac{1}{5}[/tex] =

[tex]\frac{34}{8}[/tex] × [tex]\frac{1}{5}[/tex] = [tex]\frac{34}{40}[/tex]

fabric left over = 1 - 34/40

40 / 40 - 34/40  = 6 /40

To transform to the simplest form. divide both the numerator and the denominator by 2

3/20

Answer:

C. 48°

Step-by-step explanation:

Answer:

28¢

Step-by-step explanation:

A quarter is 25¢, so 53¢ - 25¢ = 28¢.

Answer:

$4.16

Step-by-step explanation:

8% of $52 is 4.16.

In total the item would cost $56.16.

All you do is 52 x .08 = 4.16

Make sure to divide the percentage (8/100=.08) before multiplying.

Answer: 53 degrees

Step-by-step explanation:

Complementary angles add up to 90 degrees. Subtract Za from the 90. 90-37=53.

Answer:

1 × 10⁻⁵

Step-by-step explanation:

Answer: 4 + 2w

Step-by-step explanation:

The height of the tomato plant in inches after w weeks will be the value of the current height plus the weekly growth pee week. This can be represented in an equation as:

h = 4 + 2(w)

h = 4 + 2w

For example, the height of the tomato plant in inches after 5 weeks will be:

h = 4 + 2w

h = 4 + 2(5)

h = 4 + 10

h = 14 inches

Answer:

c.

Step-by-step explanation:

Answer:

1.) 2.5cm

2.) 1 3/4

3.) 1.6

4.) 4/5

5.) 18.84

Step-by-step explanation:

So the radius is half of the diameter, so the first one would be:

5 ÷ 2 = 2.5

We do the same thing for the next one:

3 1/2 ÷ 2 = 1 3/4

Now we have to go backwards because we have the radius and we're trying to find the diameter:

0.8 x 2 = 1.6

And the next one:

3/5 x 2 = 4/5

Now to find the circumference, we multiply the diameter by pi (3.14)

6 x 3.14 = 18.84

let me know if any of these are wrong

hope this helps:)

Answer:

A. Y ≤ 4.

Step-by-step explanation:

This  opens downwards and has a maximum  at f(x) = 4.