Using the inverse of sine, cosine and tangent allow us to find A missing side in a right triangle A missing angle in a right triangle The perimeter of a right triangle Triangular area

Answer:

A) Given that the figure is a rectangle, it has a rotational symmetry and by rotating the figure 180° about the center of the figure, the preimage and image will coincide

The figure also has a line symmetry for the vertical line x = 5, and a line symmetry for the horizontal line y = 5

Therefore the figure has both symmetry

B) The transformation that maps the figure unto itself are therefore;

1) Rotating the figure 180° about the point (5, 5) which is the center of the figure

2) Reflection of the figure across the line x = 5 and also reflection of the figure across the line y = 5

Step-by-step explanation:

Answer:

See Below.

Step-by-step explanation:

We want to prove that:

[tex]n^2-n[/tex]

Is never an odd number when n>1.

We will have two cases. We can prove them for each case individually.

The Even Case: n is Even:

Let n be even. Then, we can rewrite n as:

[tex]n=2k[/tex]

Where k is any positive integer.

This is because twice of any integer is even, so n must be even.

Substitute this into our expression to acquire:

[tex]=(2k)^2-(2k)[/tex]

Square:

[tex]=4k^2-2k[/tex]

4 times anything is even. 2 times anything is also even. Therefore, our expression will stay even.

The Odd Case: n is Odd:

Let n be odd. Then we can rewrite n as:

[tex]n=2k-1[/tex]

Where k is any positive integer.

This is odd because twice of any number is even, but if subtracted by 1, it yields an odd number.

We will substitute this into our expression to acquire:

[tex]=(2k-1)^2-(2k-1)[/tex]

Square:

[tex]=(4k^2-4k+1)+(-2k+1)[/tex]

Simplify:

[tex]=4k^2-6k+2[/tex]

4 times anything is even. 6 times anything is even. And anything even added to 2 will still be even.

Therefore:

[tex]n^2-n[/tex]

Will never be an odd number when n>1.

Answer:

m∠ABD = 114°

Step-by-step explanation:

Given measurements of interior angles are:

m∠D = 2n°

m∠C = 60°

m∠ABD = (4n+6)°

The measurement of exterior angle of a triangle is equal to the sum of two opposite interior angles.

This can be mathematically expressed as:

m∠ABD = m∠C+m∠D

Putting the respective values

[tex]4n+6 = 2n+60\\4n-2n+6 = 60\\2n+6 = 60\\2n = 60-6\\2n = 54\\\frac{2n}{2} = \frac{54}{2}\\n = 27[/tex]

Putting n=27 in (4n+6)°

[tex]=4(27) + 6\\= 108+6 = 114[/tex]

Hence,

m∠ABD = 114°

Answer:

3

Step-by-step explanation:

f(x) = 3x+1

f(x+h) = 3(x+h)+1 = 3x+3h+1

f(x+h) - f(x)= 3x+3h+1-3x-1 = 3h

3h/h=3

Answer:

rational

Step-by-step explanation:

I'm coochie man

Answer:

x=3

Step-by-step explanation:

2x+(3x)=15

5x=15

x=3

solving for y:

3(3)=9

y=9

Answer:

(y,x) (9,3)

Step-by-step explanation

Answer:

$15

Step-by-step explanation:

Let A, B, C and D represent the four friends respectively.

Given the following data;

Amount earned by A = $15

Amount earned by B = $20

Amount earned by C = $25

Amount earned by D = $40

Total amount earned = 15 + 20 + 25 + 40

Total amount earned = $100

For an equal ration, each friend should be given;

Each earnings = total amount earned/number of friends

Substituting into the equation, we have;

Each earnings = 100/4

Each earnings = $25

Hence, for D with $40, would become;

D = $40 - $25

D = $15

Therefore, D would give A $10 and give B $5.

Answer:

$52.50

Step-by-step explanation:

Set up the ratio:

[tex]\frac{24.50}{7}[/tex]

Simplify in order to find the cost per gallon.

The cost per gallon is $3.50 because 7 divided by 7 is one and 24.50 divided by seven is 3.5.

Now you have this left:

[tex]\frac{3.50}{1}[/tex]

Multiply the denominator by 15 since Robert needs 15 gallons.

Then, multiply the top by 15 because whatever you do to the denominator, you have to do to the top.

Now you have this left:

[tex]\frac{3.5}{1}[/tex] = [tex]\frac{52.50}{15}[/tex]

Therefore, Robert needs to pay $52.50 in order to recieve 15 gallons of gasoline.

Answer:

i think it's 51 because if you add 106 and 23 together it's 129 then 180-129= 51

Step-by-step explanation:

Answer:

13.4

Step-by-step explanation:

πr2h

3

Answer:

12.5

Step-by-step explanation:

use pythag to find perpendicular height

then from that your answer should be 4.40cm

Answer:

51.0791%

Step-by-step explanation:

Calculate percentage change

from V1 = 41700 to V2 = 63000

(V2−V1)|V1|×100

=(63000−41700)|41700|×100

=2130041700×100

=0.510791×100

=51.0791%change

=51.0791%increase

Jenn's account has the greater simple interest rate

Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.

For Lindsey:

Lindsey simple interest was 1.2% annually

For Jenn:

Jenn simple interest was 1.5% annually

Therefore Jenn's account has the highest simple interest rate.

^^^^^^^^^^^^^^^^^^^^

"EamonnAdams1992"

Answer:

She has a higher interest rate

Step-by-step explanation:

Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.

Sample answer on edge ;)

Answer:

y=3x+2

Step-by-step explanation:

dont put  0 because it dont make sense

if you put 0 n the equation, you will not will get the right equation

Answer:

The sides of the isosceles triangle are 3.2 cm, 6.2 cm and 6.2 cm

Step-by-step explanation:

The sides of an isosceles triangle are equal in length

Let the base be x cm

Since it is 3 cm smaller than a leg, the legs will be (x + 3) cm

To find the perimeter of a triangle, we add up the sides

x + x + 3 + x + 3 = 15.6

3x + 6 = 15.6

3x = 15.6 - 6

3x = 9.6

x = 9.6/3

x = 3.2 cm

So the base is 3 + 3.2 =6.2 cm

Answer:

y<1/2+2

Step-by-step explanation:

Answer:

I think the answer is A because I learned about slope last year

Answer:

10.04

Step-by-step explanation:

25.10/2.5=10.04

Answer:

10.04

Step-by-step explanation:

All you do is divide 25.10 by 2.5, the total($25.10) by the amount(2.5) then that is where

25.10 divided by 2.5 comes from, therefore your answer is 10.04

Answer:

Había cinco amigos al principio y siete laminas en total. (Using google translate)

Step-by-step explanation:

pude darle 5 a cada = 5 amigos

5 a cada uno y me sobran 2 amigos más, por lo que las repartí de nuevo y pude darle = siete laminas

Answer:

y = -x + 3

Step-by-step explanation:

Use this formula to get the slope [tex]\frac{y2 - y1}{x2 - x1}[/tex]

PLUG IN

[tex]\frac{3 - 7}{0 - -4} \\\\\frac{-4}{4} \\[/tex]

-4/4 = -1

The slope is -1

To find the y- intercept plug your slope and one of your points in this y=mx+b

We will use (0,3)

3 = -1(0) + b (b represents y-intercept)

3 = b

The equation would look like this

y = -x + 3

Hope this helps ya!!

Answer:

yes is is proportional

x=ydivided by 3.5

Step-by-step explanation:

Answer: multiplying by 3.5

Step-by-step explanation: because if you divide 7 by 2 you will 3.5

Answer:

19/37

Step-by-step explanation:

47/148 + 29/148 = 76/148 = 38/74 = 19/37

Given:

Jim stands on a dock that is [tex]3\dfrac{3}{4}[/tex] feet above the lake. He dives down [tex]12\dfrac{1}{2}[/tex] feet below the dock.

To find:

The Jims vertical location relative to the lake surface.

Solution:

We have,

Vertical location of dock relative to the lake surface [tex]=3\dfrac{3}{4}[/tex] feet

He dives down [tex]12\dfrac{1}{2}[/tex] feet below the dock. So,

Vertical location relative to the lake surface [tex]=3\dfrac{3}{4}-12\dfrac{1}{2}[/tex]

[tex]=\dfrac{3\times 4+3}{4}-\dfrac{12\times 2+1}{2}[/tex]

[tex]=\dfrac{12+3}{4}-\dfrac{24+1}{2}[/tex]

[tex]=\dfrac{15}{4}-\dfrac{25}{2}[/tex]

Taking LCM, we get

[tex]=\dfrac{15-50}{4}[/tex]

[tex]=\dfrac{-35}{4}[/tex]

[tex]=-8\dfrac{3}{4}[/tex]

Here, negative sign means Jim location is below the lake surface.

Therefore, Jim is [tex]8\dfrac{3}{4}[/tex] feet below the lake surface.

Answer:-8 3/4

Step-by-step explanation:

I just took the cahoot

Answer:

9.9

Step-by-step explanation:

Fists you have to choose a number, ex. 20. Then subtract 4.8 from 20 equalling 15.2, then subtract 7.2 from 15.2, which equals 7.6, then add 2.5 and get 10.1. When you have that final number you must subtract it from the starting number to find the change, 20 - 10.2 = 9.9

The answer to this question is 7.404

Answer:

y=-x-5

Step-by-step explanation:

Answer / Step-by-step explanation:

500g - 300g = 200  {200 ÷ 500 = 0.4}  ---- 300g pork

0.4 × 150g = 60g tomatoes

0.4 × 100g = 40g butter

0.4 × 120ml = 48ml water

0.4 × 45g = 18g green chilli

0.4 × 8og = 3.2og onion

Answer:

the answer to question 1 is 24 and the answer to number 2 is 1

Answer:

frist one is 24. second is 1

Step-by-step explanation:

Answer:

Answers in explanations, hope they're correct!

Step-by-step explanation:

12. You will be using 0 gallons of gas when traveling 0 miles.

13. 20 gallons

14. (2,6)

15. You will package 15 dozens of cupcakes after 5 hours

Answer:

12: 0 miles uses 0 gallons of gas

13: 20 gallons

14: (1,3)

15: it takes 5 hours to make 15 dozen cupcakes

Step-by-step explanation:

13) 4 gallons for every 100 so multiple by 5 for 500

Answer: y < 3x -4

Step-by-step explanation:

We know two points of line: (0,-4) and (1,-1)

Therefore, we can find the slope: 3/1.

We know the y intercept.

Dashed line means the inequality is not apart of the region.

y < 3x-4