Which of these describes the transformation of triangle ABC shown below?A) reflection across the x-axisB) reflection across the y-axisC) reflection across the line y=xD) translation

Answer:

According to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

What is the right angle triangle property?

In a right-angle triangle ratio of the opposite side to the adjacent side is equal to the tangent angle between the adjacent side and the hypotenuse side.

Here, (b) is the opposite side, (a) is the adjacent side, and is the angle made between the adjacent side and the hypotenuse side.

The sides of the triangle are 8, 15, and 17 units long and the measure of the angles of the right angle triangle is 62, 90, and 28 degrees.

Re-draw, the  Here in the given triangle, the base is the side which is 15 units long. Re-draw the triangle as shown below.

In the attached triangle below, the opposite side of the triangle is 15 units and the adjacent side of the triangle is 8 units long.

The angle between the opposite side and the adjacent side is 62 degrees. Thus using the right angle triangle property as,

Thus, according to this diagram, the tan 62 degrees, is the ratio of the opposite side and the adjacent side of the triangle which is equal to 1.875 units.

Learn more about the right-angle triangle property here;

brainly.com/question/22790996

Answer:

29

Step-by-step explanation:

f(3)=3f(2)-f(1)=3x4-1=11

f(4)=3f(3)-f(2)=3x11-4=29

So the different number has a 4 with a value of 40.

What is Algebraic expression ?

Algebraic expression can be defined as combination of variables and constants.

To solve this problem, we need to first identify the place value of the digit 4 in the given number.

The digit 4 is in the hundreds place in the number 431.67, so its value is 4 x 100 = 400.

According to the problem statement, the 4 in the different number represents a value which is one-tenth of the value of the 4 in 431.67. Therefore, the value of the 4 in the different number is:

400/10 = 40

To determine the value of the different number, we need to look at the other digits in the number. Since we don't have any information about the other digits, we cannot determine the value of the different number. The answer is that the value of the different number cannot be determined with the information given.

Therefore, So the different number has a 4 with a value of 40.

To learn more about Algebraic expression from given link.

brainly.com/question/28884894

#SPJ1

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

We have,

To determine the angle created by the bottom of the ramp and the ground, we can use the trigonometric function of sine.

In the given triangle, the height is 6 ft and the base is 16 ft.

The angle we want to find is opposite the height (let's call it θ).

The sine of an angle is defined as the ratio of the opposite side to the hypotenuse.

sin(θ) = opposite/hypotenuse

sin(θ) = 6/16

sin(θ) = 0.375

To find the angle θ, we can take the inverse sine (also known as arcsine) of 0.375:

θ = arcsin(0.375)

θ ≈ 22.62°

To meet safety regulations, the angle should be no more than 18°. Therefore, the contractor needs to lower the ramp by:

22.62° - 18° ≈ 4.62°

Thus,

The contractor should lower the ramp by approximately 4.62° to meet safety regulations.

Learn more about trigonometric identities here:

https://brainly.com/question/14746686

#SPJ1

Answer:25

Step-by-step explanation:

27-4^2/2+(11-5)= 25

Answer:

25

Step-by-step explanation:

Answer:

x=1

Step-by-step explanation:

(3x-4(2)+9)=x-3

3x+1=x-3

2x+1=3

2x=2

x=1

Answer:

14 and 15

Step-by-step explanation:

\(196<201<225 \\ \\ \sqrt{196}<\sqrt{201}<\sqrt{225} \\ \\ 14<\sqrt{201}<15\)

Answer:

uh

Step-by-step explanation:

h

Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

Answer:

3 coins each row

Step-by-step explanation:

if you put 3 coins in 4 rows it we'll be equivalent to 12

There are three pairs of parallel sides.

We have,

Parallel sides refer to two or more sides of a polygon or a shape that are always equidistant and do not intersect.

In other words, parallel sides are lines that lie in the same plane and never meet or cross each other.

In a polygon, such as a rectangle or a parallelogram, parallel sides are pairs of sides that are opposite to each other.

For example, in a rectangle, the two pairs of opposite sides are parallel to each other.

Similarly, in a parallelogram, both pairs of opposite sides are parallel.

Now,

From the figure,

There are three pairs of parallel sides:

- a and d are parallel

- b and e are parallel

- f and c are parallel

Thus,

There are three pairs of parallel sides.

Learn more about parallel sides here:

https://brainly.com/question/22074448

#SPJ1

Answer:

-14

Step-by-step explanation:

4+7=11 so therefore -3-11=-14

Answer:

The negative quotient of three times the sum of four and seven

Step-by-step explanation:

\(.\)

Answer:

Not worth 40 points. Poster is a liar.

R=15 --> 30/2 , H=320

Anyways, because you lied, I won't show my work.

Volume= 72,000pi or 226194.6711

Answer:

-65 i believe

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer:

56,252 rounded to the nearest ten thousands place is 50,000

Answer:

The answer would be 56,000.

Step-by-step explanation:

You need to look at the number next to the ten thousands place.

56,252

See if the number is 5 or greater so that you can round up.

If lower than 5, you round down.

The 2 is less than 5 so you round down to 56,000.

Answer:

4ti + 5tj + k

Step-by-step explanation:

Initial condition V(0) = k

at t = 0

general equation for v(t )

V(0) = 0i + 0j + c = k

when we compare V(0) and solve for c ,     c = k

back to general equation

V(t) = 4ti + 5tj + c = 4ti + 5tj + k

The solution is:

If my parents are going to pay the 5%, then, they will pay: $2979.

I will need to save $62.06 each month to accomplish my goal.

Here,

I'm going to a 4-year college that will cost $14895/year.

It means that I will need to pay: 14895*4 = $59.580

If my parents are going to pay the 5%, then, they will pay: $2979.

Now, if I want to save my total contribution for all four years, and I have four years to accomplish  the goal, then:

Then, if I have 4 years to pay it. It means I have 4*12 = 48 months.

Then I will need to save $2979./48 = $62.06 each month to accomplish my goal.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ1

complete question:

You are going to a 4-year college in 4 years that will cost $14,895.00/yr. Your parents expect you to pay 5% of the total cost.

How much do you need to pay for each year of attending?

If you want to save your total contribution for all four years before you start attending college, how much do you need to save each month if you have four years to accomplish your goal?

The similar triangles for this problem are given as follows:

RST and VUT.

Then the measure VT is given as follows:

VT = 5.4 units.

Similar triangles are triangles that share these two features listed as follows:

Hence the similar triangles for this problem are given as follows:

RST and VUT.

The proportional relationship for the side lengths is given as follows:

6/14 = (x + 2)/(4x - 1).

Applying cross multiplication, the value of x is obtained as follows:

14(x + 2) = 6(4x - 1)

14x + 28 = 24x - 6

10x = 3.4

x = 3.4.

Then the length VT is given as follows:

VT = 3.4 + 2

VT = 5.4 units.

More can be learned about similar triangles at brainly.com/question/14285697

#SPJ1

Answer:

a) 7 weeks b) George's

Step-by-step explanation:

Sally's score can be modeled by 10x+850.

George's score can be modeled by 50x+570.

We can set them equal to each other to see when they intersect.

10x+850=50x+570

40x=280

x=7

If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.

The solution are, a) 7 weeks

                             b) George's

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.

here, we have,

Sally's score can be modeled by 10x+850.

George's score can be modeled by 50x+570.

We can set them equal to each other to see when they intersect.

10x+850=50x+570

40x=280

x=7

If George overtakes her in the 7th week, of course he'll have the higher score in 12 weeks.

To learn more on equation click:

brainly.com/question/24169758

#SPJ5

The expression that describe the end behavior of the expression f(x)= (3.25)^x + 6 is The curve begins infinitely close to the line y equals 6 in the second quadrant.

The behavior of the graph of a function at its "ends" on the x-axis is referred to as the end behavior of a function, f.

For example, if we look at the right end of the x-axis (as x approaches + ∞) and the left end of the x-axis (as x approaches - ∞), the end behavior of a function explains the trend of the graph.

The graph of the function is attached and from the graph it shows that the graph continued to tend towards towards line y = 6

Learn more about end behavior here:

https://brainly.com/question/28954897

#SPJ1

Answer:

Biography

Step-by-step explanation:

It is not fake

Answer:

C. A short story

Step-by-step explanation:

A speech is given by someone in real life

A biography is something written on someone else's life

A short story is not on any real life situation

An autobiography is something written by a person on their life

Answer:

1.2

Step-by-step explanation:

Answer:

18.85

Step-by-step explanation:

C=2πr=2·π·3≈18.84956

The circumference of this pool is 6π feet.

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle.

Given:

The radius of a small wading pool is 3 feet.

r = 3 feet

And the pool is circular.

So,

circumference of circle = 2πr

Circumference of circle = 2π(3)

Circumference of circle = 6π feet

Therefore, 6π feet is the circumference of the pool.

To learn more about the circle;

https://brainly.com/question/29142813

#SPJ6

Hi there!  

»»————-　★　————-««

I believe your answer is:  

\(3v + 8 \geq 22\)

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻

\(\boxed{\text{Breaking down the phrase...}}\\\\\text{Three times a number, v, added to eight is greater than or equal to twenty-two. }\\------------------\\\rightarrow \text{"Three times a number, v..."} - 3v \text{ This expresses the product of '3' and 'v'.}\\\\\rightarrow \text{"added to eight..."} - + 8 \text{ The product gets added to eight.}\\\\--------------\\\text{The First Part Is:}}\\\\3v + 8\\---------------\\\rightarrow \text{is greater than or equal to twenty-two. } - \geq 22\)

\(\text{The value of '3v + 8' is greater than or equal to 22.}\\---------------\\\text{\underline{Putting it together, we would have:}}\\\\\boxed{3v + 8 \geq 22}}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

(a) n(t) = P(0)*e^(0.010939940t)

(b) 12,674,681 (nearest unit)

(c) 14 years (nearest year)

Step-by-step explanation:

rate = 1.1% / year = 1.011

(a)

P(0) = 12,000,000  = population in 2010

In compound interest format, after t years

P(t) = P(0)* (1.011)^t

Given format = P(0)* e^(rt)

therefore

e^(rt) = 1.011^t       use law of exponents

(e^r)^t = 1.011^t

e^r = 1.011

r = log_e(1.011) = 0.010939940   (to 9 decimal places)

required formula is

n(t) = P(0)*e^(0.010939940t)

(b)

in 2015,

P(0)=12000000, n = 5 (years after 2010)

n(5) = 12000000*e^( 0.010939940 * 5 ) = 12,674,680.6 = 12,674,681 (nearest unit)

(c)

to reach 14 million, we equate

n(t) = 14,000,000

12,000,000 *e^(0.010939940*t) = 14,000,000

e^(0.010939940*t) = 14000000/12000000 = 7/6

take log on both sides

0.010939940*t = log(7/6)

t = log(7/6) / 0.010939940 = 14.091 years = 14 years to the nearest year.

See graph attached.  Y-axis is in millions, x-axis is in years.

a) \(n(t) = 12e^{0.011t}\)

b) The estimate for the population in 2015 is of 12.7 million.

c) The fish population will reach 14 million after 14 years.

d) The sketch is given at the end of this answer.

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

Item a:

The exponential model is:

\(n(t) = n(0)e^{rt}\)

In which:

Thus, the model is:

\(n(t) = 12e^{0.011t}\)

Item b:

2015 is 2015 - 2010 = 5 years after 2010, thus this is n(5).

\(n(5) = 12e^{0.011(5)} = 12.7\)

The estimate for the population in 2015 is of 12.7 million.

Item c:

This is t for which n(t) = 14, thus:

\(n(t) = 12e^{0.011t}\)

\(14 = 12e^{0.011t}\)

\(e^{0.011t} = \frac{14}{12}\)

\(\ln{e^{0.011t}} = \ln{\frac{14}{12}}\)

\(0.011t = \ln{\frac{14}{12}}\)

\(t = \frac{\ln{\frac{14}{12}}}{0.011}\)

\(t = 14\)

The fish population will reach 14 million after 14 years.

Item d:

At the end of this answer, the sketch is given.

A similar problem is given at https://brainly.com/question/23416643

Step-by-step explanation:

You want to find the equation for a line that passes through the point (4,21) and has a slope of 01.

First of all, remember what the equation of a line is:

y = mx+b

Where: m is the slope, and b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 01. So you can right away fill in the equation for a line somewhat to read:

y=01x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(4,21). When x of the line is 4, y of the line must be 21.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 1 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (4,21).

\( {77.05 \: m}^{2} \)

hope this is correct