Rick went on a hike with his family in Big Bend National Park. During the hike, he saw 6 lizards, 1 scorpion, 2 foxes, 3 jackrabbits, 6 deer, and 2 snakes.

Rick has a pet snake, so he was most excited to see the snakes. What percent of the animals were snakes?

The sides length of the square is 3 units, then the perimeter of the square is 12 units.

It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a square, opposite sides are parallel and all sides are equal and each angle is 90 degrees. And its diagonals are also equal and intersect at the mid-point.

If (-1, 2) and (2, -1) are two opposite vertices of a square, then the perimeter of the square will be

The other two vertices of the square will be

(-1, -1) and (2, 2)

Then the distance between the points (2, 2) and (2, -1) will be

[tex]\rm D = \sqrt{(2-2)^2+ (-1-2)^2}\\\\D = \sqrt{3^2}\\\\D = 3[/tex]

Then the perimeter of the square will be

Perimeter = 4 × 3

Perimeter = 12 units

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Answer:

[tex]a = b\sqrt{5} - 8\sqrt{5}\\b = -8 - \frac{a\sqrt{5}}{5}[/tex]

Step-by-step explanation:

working attached

Answer:

18 m

Step-by-step explanation:

11m + 7m is 18m
The final answer is 18m

The change in altitude of the kingfisher is 18 m.

The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex.

Suppose the distance above the cliff is represented by a positive integer.

Then the distance below it is represented by a negative integer.

Thus, change in altitude of the kingfisher

= 7-(-11)

= 7+11

= 18 m

Hence, the change in altitude of the kingfisher is 18 m.

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Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

given - an equation and its roots !

To find - values of a and b in the given equation ~

[tex]Quadratic \: eq {}^{n} = ax {}^{2} + 7x + b = 0 \\ [/tex]

roots of the question are [tex] \dashrightarrow - 3 \: and \: \frac{2}{3} \\ [/tex]

Now ,

[tex]Sum \: of \: zeroes \: ( \: \alpha \: + \: \beta \: ) = - \frac{ - b}{a} \\ \\ \implies \: - 3 + \frac{2}{3} = \frac{ - 7}{a} \\ \\ \implies \: \frac{ - 9 + 2}{3} \\ \\ \implies \frac{ - 7}{3} = \frac{ - 7}{a} \\ \\ \underline{on \: comparing} \\ \\\bold\red{\implies \:a = 3}[/tex]

further ,

[tex]Product \: of \: zeroes \: ( \: \alpha \: \times \beta \: ) = \frac{c}{a} \\ \\ \implies \: (- \cancel {3})( \frac{2}{\cancel3} ) = \frac{b}{a} \\ \\ \implies \: - 2 = \frac{b}{3} \\ \\ \implies \: b = 3 \times - 2 \\ \\ \bold\red{\implies \: b = - 6}[/tex]

hope helpful :D

Answer:

48.89

Hope this helps!!

Answer: 48.89

Step-by-step explanation:

     The proportion for tangent is the opposite side over the adjacent side.

[tex]\displaystyle \frac{\text{opposite \;side}}{\text{adjacent \;side}} =\frac{55}{48}[/tex]

Given:

tan(E) = [tex]\frac{55}{48}[/tex]

Inverse:

[tex]\displaystyle tan^{-1} (tan(E)) = (\frac{55}{48} ) tan^{-1}[/tex]

Simplify:

≈ 48.8879

Round:

≈ 48.89

Answer:

Option (2)

Step-by-step explanation:

Answer:

He is false

Step-by-step explanation:

Hey there!

The area of a shape is the total measurement of the inside of the shape

Meaning the parts I shaded in the screenshot

As you can see in the image, there is less area in shape B than shape A

Meaning, that the area has decreased

Now, Tom says that both area and perimeter has decreased

Lets check if the perimeter has decreased

If you look at it, the perimeter hasn't decreased at all

All that has happened was the shape getting a new form

The dimension are basically split

For example, if the top side of the square was 6 inches

Then the dimension after taking out a square from the shape would split

The top side of that square after is was split would be something along the ligns of 4 inches, and 2 inches and other dimensions like that

That is how I think of the perimeter and if it changes or not

But this explains why Tom is wrong

Since the perimeter is still the same

Tom is wrong

Answer:

see below

Step-by-step explanation:

y = − x − 4

is in the slope-intercept form for a linear equation,  

y = m x + b , where  m  is the slope and  b  is the y-intercept. In the given equation,  

m = − 1  and  b = − 4 .

Ordered Pairs

Thus, [tex]x=10[/tex], [tex]x=4[/tex], and [tex]x=8[/tex]

Answer:

3rd option, r(t) = 310t

Step-by-step explanation:

310 years is like the slope so you multiple it by the amount of years

example: in 2 years it would make 620 orbits since 310(2) = 620

Answer:

y = x - 3

Step-by-step explanation:

a linear equation has the form

y = ax + b

the only equation in this form is

y = x - 3

Answer: x = 0

Step-by-step explanation: x+5=−5x+5

Add 5x to both sides.

x+5+5x=5

Combine x and 5x to get 6x.

6x+5=5

Subtract 5 from both sides.

6x=5−5

Subtract 5 from 5 to get 0.

6x=0

Product of two numbers is equal to 0 if at least one of them is 0. Since 6 is not equal to 0, x must be equal to 0.

x=0

56%

subtract 13 from 30, and you get 17. Then you need to divide 17 and 30

Answer: 56.7%

Step-by-step explanation:

Girls = 30 -13 =17

Girls = 17/30 × 100/1

Girls = 0.567× 100

Girls = 56.7%

Answer:

2 and 5/11

Step-by-step explanation:

first we find how many times 11 goes into 27. It goes in twice, which gives us our whole number, 2. Then we need to find the fraction part, which is whatever's left over. 27-22 is 5, giving us 2 and 5/11

f(-2) means the x value is -2 and you need to find the y value at that point.

At x = -2 the line crosses the y axis at y = 2

f(-2) = 2

If a pair related to the function is graphed

Then

So

f(x)=y

Her e

Find the point

So

f(-2)=2

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: c = \pi d[/tex]

[tex]\qquad \sf  \dashrightarrow \: c = 3.14 \times 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: c = 31.4 \: cm[/tex]

Answer:

31.4cm

Step-by-step explanation:

d = 2*r

r = 5

d = 10

circumference = d(3.14) = 10*3.14 = 31.4 cm

Hope this helps!!!

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Using proportions, it is found that the family will drive 482.8 km on the new route.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the family travels a distance of 125% of 240 miles, hence the distance is:

D = 1.25 x 240 = 300 miles.

Since there are are approximately 48.28 kilometers in 30 miles, and 300/30 = 10, the distance in kilometers is given by:

D = 48.28 x 10 = 482.8 km.

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Answer: A: $6324

B: by $1005.04 more

Step-by-step explanation:

A: 6.2% of 102,000 is 6324

B: find the tax rate of each job by finding 6.2% of what was paid, add them together, then subtract the maximum tax rate from that to see how he over paid

The option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

We have a triangle XYZ shown in the diagram, and triangle LMN is the reflection of the triangle XYZ.

∠Z = 180 - 86-38 = 56°

Similarly,

∠L = 38°

From this, two triangles XYZ and LMN

We can say:

ΔXYZ≅ΔLMN

∠Y = ∠M = 86°

∠X =∠L = 38°

XZ ≅ LN

Thus, the option first ΔXYZ≅ΔLMN, option second ∠Y = ∠M = 86°, option third ∠X =∠L = 38°, and option sixth XZ ≅ LN are correct.

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Check the picture below.

Answer:

5.76

Step-by-step explanation:

Answer:

the 4th option because 24 months times the amount plus the 39.99 to set up would get you a final answer

Answer:

39.99/24c = 351.75

24c + 39.99 = 351.75

Where c is the cost to set up an account

Step-by-step explanation:

Knowing that it given:

What is the cost(c) month for using the service for 24 months?

That means "Cost = c"

That leads us to the answer:

"Where c is the cost to set up an account"

We also know that we are finding for the 24 months thus 24c.

That leads us to

24c + 39.99 = 351.75 and 39.99/24c = 351.75

Hence, the answers are:

39.99/24c = 351.75

24c + 39.99 = 351.75

Where c is the cost to set up an account

Kavinsky

The quotient of the expression [tex](\frac{n+3}{2n-6})/ (\frac{n+3}{3n-9} )[/tex] is given as 3/2

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the expression:

[tex](\frac{n+3}{2n-6})/ (\frac{n+3}{3n-9} )\\\\Simplifying\ the\ expression:\\\\=(\frac{n+3}{2(n-3)})/ (\frac{3(n-3)}{n+3} )\\\\=\frac{3}{2}[/tex]

The quotient of the expression [tex](\frac{n+3}{2n-6})/ (\frac{n+3}{3n-9} )[/tex] is given as 3/2

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Cartographers use trigonometry for topographic mapping, while navigators use it to direct navigation, helping to identify location and distance.

Surveyors, on the other hand, use trigonometry to measure spatial data, such as height and angles of the land and urban and rural georeferencing.

Trigonometry studies the relationships between the sides and angles of a triangle. This calculation instrument is used for studies in various fields of scientific knowledge, such as the study of phenomena in mechanics, engineering and medicine.

Therefore, there are several applications for trigonometry in social daily life, being an instrument that helps in obtaining scientific knowledge and development of society.

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Answer:

This was my answer, I did a lot of research for it

Step-by-step explanation:

According to wonderworksonline.com, "cartographers use the laws of plane trigonometry". This is used for topographical mapping which is a map that includes detailed, accurate landmarks.

Navigators use trigonometry to find directions. According to byjus.com, "with the help of a compass and trigonometric functions in navigation, it will be easy to pinpoint a location and also to find distance as well to see the horizon."

Trigonometry is used in land surveying to measure to height and angles of the land. According to prezi.com, "it can be used to measure the elevation from a certain point to a mountain, the distance between two trees, and distances across lakes."

Another profession that uses trigonometry is astronomy. Trigonometry is used to measure the distance between stars and planets. According to mytutor.co.uk, "this mathematical technique is also used by NASA scientists today when they design and launch space shuttles and rockets."

Trigonometry plays an important part in our everday lives. Without trigonometry, we wouldn't have GPS to navigate us. Trigonometry is also used by flight engineers to decide take off paths. Trigonometry is also used in the medical field for ultrasounds, the process of building prosthetic legs and arms, and surgeries.

Answer:

2sin((1)x + 135)-3

Step-by-step explanation:

Asin(Bx+C)+D

A = amplitude = distance from top to bottom divided by 2

y value of top = -1

y value of bottom = -5

distance from top to bottom = -1 - (-5) = 4

divide by 2 to get 4/2 = 2 as our amplitude

2π/B = period

in this case, we're working in degrees for our x axis - 2π = 360°

thus, 360°/B = period

period = time it takes to get from one high to the next (alternatively, one low to the next etc.) = 360 degrees in this case

thus, 360°/B = 360°

divide both sides by 360° and multiply both sides by B to isolate B

360/360 = B = 1

phase shift = -C/B

phase shift refers to how much the graph is shifted to the left/right. normally, the middle of a sin wave is at 0, with a peak being to the right of it. now, the middle of the sin wave (which has a peak to the right of it) is at x = -135 degrees to the right of a regular sine wave

thus,

-135 degrees = -C/B

B = 1

-135 degrees = -C

C = 135 degrees

D = vertical shift

the center is now at y = -3. normally, the center is at y = 0. thus, D = -3

our formula is thus

2sin((1)x + 135)-3

A) The number of students who like both drinks is 325.

B) The number of students who like one of these drinks only. 275

A Venn diagram is used to visually represent the differences and the similarities between two concepts.

Total students= 900

students like tea=600

students like coffee=500

Students did not like both drinks=125

Students who both or any one of the drinks= 900-125=725

Now,

students like both drinks= 600+500-725

                                         = 325

Hence, the number of students who like both drinks is 325.

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Answer:

11......................

[tex]~~~~(7x+8)+33 +90 = 180\\\\\implies 7x+131=180\\\\\implies 7x = 180 -131\\\\\implies 7x =49\\\\\implies x = \dfrac{49}7\\\\\implies x = 7[/tex]

Answer:

A. (-2, 0)

I hope this helps you.

Answer:

[tex]\bigodot B.\:\: 31\sqrt 3[/tex]

Step-by-step explanation:

Answer:

x = the quantity of 3 plus or minus the square root of 37 all over 2

Step-by-step explanation:

Given/To Find:

What are the exact solutions of x2 − 3x − 7 = 0, where x equals negative b plus or minus the square root of b squared minus 4 times a times c all over 2 times a?

Answer choices:

x = the quantity of 3 plus or minus the square root of 37 all over 2

x = the quantity of negative 3 plus or minus the square root of 37 all over 2 x = the quantity of 3 plus or minus the square root of 19 all over 2

x = the quantity of negative 3 plus or minus the square root of 19 all over 2

Solve:

By using the quadratic formula, the solutions are

[tex]x=\frac{-(-3)±\sqrt{(-3)^2-4\times1\times(-7)}}{2\times1}[/tex]

[tex]x=\frac{3±\sqrt{37}}{2}[/tex]

Hence, the answer is :

x = the quantity of 3 plus or minus the square root of 37 all over 2

Kavinsky

Answer:

The exact solution is:

x = the quantity of 3 plus or minus the square root of 37 all over 2

Step-by-step explanation:

We are asked to find the exact solution of the polynomial equation which is given by:

[tex]x^2 - 3x - 7 = 0[/tex]

We know that the solution of the equation are the possible value of x which is obtained on solving the equation and hence satisfy the equation.

Now, on solving the quadratic equation i.e.  degree 2 polynomial equation using the quadratic formula:

That is any polynomial equation of the type:

[tex]ax^2+bx+c=0[/tex]

is solved by using the formula:

[tex]x=\frac{-b±\sqrt{x} b^2-4ac}{2a}[/tex]

Here we have:

a=1, b=-3 and c=-7.

Hence, the solution of the equation is:

[tex]x=\frac{-(-3)±\sqrt{(-3)^2-4*(-7)*1} }{2*1}[/tex]

[tex]x=\frac{3±\sqrt{9+28} }{2}[/tex]

[tex]x=\frac{3±\sqrt{37} }{2}[/tex]

Hence, the solution is:

x = the quantity of 3 plus or minus the square root of 37 all over 2

( i.e.

[tex]x=\frac{3±\sqrt{37} }{2}[/tex] )