Find the nth term of the sequence 8,10,12,14,16

Answer:

D

Step-by-step explanation:

Answer:

C)    [tex]\frac{5}{13}[/tex]

Step-by-step explanation:

This question requires trigonometry. Trigonometry is used to work out lengths or angles when you are already given some. In this question we are given which formula to use but I will tell how to figure it out if the question doesn't give it to you. The formula's are

Sin⁻¹ = Opposite ÷ Hypotenuse

Tan⁻¹ = Opposite ÷ Adjacent

Cos⁻¹ = Adjacent ÷ Hypotenuse

First of all we have to label the sides,

→ The hypotenuse is the angle opposite the right angle so it is 13

→ The opposite is the side opposite the angle so it is 5

→ The adjacent is the remaining side so it is 12

In the question it has given us the formula to use so we use it,

→ Sin⁻¹ = Opposite ÷ Hypotenuse

⇒ Substitute in the values

→ Sin⁻¹ = 5 ÷ 13

The value of sinM is    [tex]\frac{5}{13}[/tex]

Answer:

D on Edg

Step-by-step explanation:

Answer: V = 5cm³

Step-by-step explanation: We have to follow the formula to get the volume of this rectangular prism, Volume = Length * Height * Width.

First, let's turn the fractions into deciamls:

4 cm

2.5 cm

0.5 cm

The length is 4 cm, the width is 0.5 cm, and the height is 2.5 cm.

4 x 2.5 x 0.5 = 5

5cm³

I hope this helps!

Answer: 6/20 are red

Step-by-step explanation: add all the marbles together and put the number of reds over the total number of marbles

Answer:

Area of rectangle APQB = Area of rectangle DPQC

Where:

PQ is the line passing through the intersection of the diagonals of the parallelogram ABCD

Step-by-step explanation:

Here we note that a parallelogram is a quadrilateral with the two opposite sides equal, therefore, the diagonals each divides the parallelogram

Given the parallelogram ABCD with a point of intersection of the two diagonals = O

We are to prove that a line PQ passing through O divides the parallelogram into two equal parts;

The diagonals of a parallelogram bisect each other hence

OA = OC and OB = OD

Also ∠AOB = ∠COD (vertically opposite angles at the crossing of the diagonals)

∴ ΔAOB ≅ ΔCOD (SAS congruence rule)

Area of ΔAOB = Area of ΔCOD

In ΔAOP and ΔCOQ, we have;

∠PAO = ∠QCO (alternate interior angles of a parallel line)

OA = OC (as above)

∠AOP = ∠QOC (vertically opposite angles at the crossing of the diagonals)

∴ ΔAOP ≅ ΔQOC

Area of ΔAOP = Area of ΔQOC

From which we have by similarity;

ΔBOQ ≅ ΔPOD

Area of ΔBOQ = Area of  ΔPOD

Hence area of rectangle APQB = Area of ΔQOC + Area of ΔCOD + Area of  ΔPOD = Area of ΔAOP + Area of ΔAOB + Area of ΔBOQ

∴ Area of rectangle APQB = Area of rectangle DPQC there proved as required.

Answer:

[tex]\sqrt{119}[/tex]

Step-by-step explanation:

Basically you need to have the third value of the other triangle to be able to solve for the other triangle. Use pythagorean theorem to find the missing values.

a^2+5^2=10^2

a^2+25=100

a^2=75

square root of 75

a=5[tex]\sqrt{3}[/tex]

5[tex]\sqrt{3}[/tex]^2+x^2=12^2

[tex]\sqrt{119}[/tex]

Answer:

8 1/3, or 8.307

Step-by-step explanation:

First we need to get the measurement of the division line, or the middle line. We can use the Pythagorean Theorem! How exciting!

[tex]10^{2} - 5^{2} = 75[/tex]

Now, you have two options:

A) If you are good at math and can understand shortcuts, there is no need to take the square root of this, as you will instantly have to square it as we use it in the second half.

B) If you need to have something written down for your though process, go ahead and square root 75.

I am going to use option A, but if you need me to explain why we do not have to take the square root, follow along, and if you still do not get it, do not be afraid to ask!

For the second half of the problem, to find x, we must again use the Pythagorean Theorem!

[tex]12^{2} = x^{2} + 75[/tex]

144 - 75 = 69

[tex]\sqrt{69} = 8.30662386292[/tex]

And now we are done, with a final answer of 8.307, or [tex]8\frac{1}{3}[/tex]!

Hope this helps! Math is fun!

Answer:

18a) The height of tree is 6.34ft.

Diagram We would scale a right side triangle showing side; 6.34ft x base 13.59ft x 15cm slope.

b) 11.54 degree

Step-by-step explanation:

18a) sin(25) = 0.4226182617 is what you multiply to check the height.

15 x 0.4226182617 = 6.339273926   = 6.34ft.

Using the measurements of pythagoras you can scale each measurement above.  6.34 = (x0.5) = 3.17cm to draw the trees height.

15ft wire = scale the diagram draw  1cm = 2ft So that 7.5cm =  = 15ft

Draw a right angle triangle and before creating the slope use protractor or guess 25 degree at bottom of slope and label it.

This will make a 7.5cm slope and label it 15ft.

We also measure out the base which on scale cm per foot is 13.59 x 0.5 = 6.80cm and label it 13.59ft.

We find the base measurement by finding the square of each 15 and 6.34

c^2 - a^2 = b^2

a= 6.34 x 6.34 = 40.1863939089 = √40.19

c = 15 x 15 =  √225

c-b = √225 - √40.19 =  √184.81

side = b  

b^2 = √184.81= 13.5944841756 = 13.59ft

18 b)  To find an angle x  with given measurements 4ft base and 20ft slope we  

use sin( base/slope) = (run/rise)

So that 4/20 = 0.2  

Then plug in for sin -1  0.2 = 11.54 degree = (calc ..11.53695903)

Notes;

If 4ft base was not given and the height of wall was given we would do the same using base as run and slant as run run/rise  but we would substitute sin-1 and after division run/rise we would plug in the decimal to cos-1 (decimal).

Answer:

-1/52 x^2

Step-by-step explanation:

4p(y-k)=(x-h)^2

4(-13)y=x^2

-52y=x^2

y=-1/52 x^2

Answer:

$12.10

Step-by-step explanation:

(.20) 14 = 11.20

.08(11.20)= ABOUT .90

ADD .90 to 11.20

to get the final cost with tax. ;)

Answer:

0

Step-by-step explanation:

An additive inverse is any number that adds to a certain number to make the value 0. For example, 6 has an additive inverse of -6. Therefore, -7 has an additive inverse of 7 because 7-7 (or -7+7)=0

Answer:

0

Step-by-step explanation:

Answer:

Table 3

Step-by-step explanation:

It is the only table that has only one output f(x) from each input (x).

Answer:

[-7,∞)

Step-by-step explanation:

This function is a parabola that has a positive coefficient, so the parabola will open upwards (or make a smile if you want to call it that). The vertex is located at (2,-7) because of the vertex equation, so you know that the y values are greater than or equal to -7.

Answer

40% = 0,4

Divide 40 by 100

remove the 0s from both side

it will be

4 ÷ 10=

you go one step to the right and add a zero before the dot

which equal to

0.4

Answer:

Step-by-step explanation:

A secant is a straight line from a point outside a given circle that passes through two points on its circumference.

From the given diagram, EM and EQ are secants.

Thus,

<PEW ≅ <WEP    (common angles)

<EMP ≅ <EQW (secant-chord theorem)

<WMP ≅ <PQM (inscribed angles of arc WP)

Therefore,

[tex]\frac{EW}{WM}[/tex] = [tex]\frac{EP}{PQ}[/tex]   (corresponding sides of a triangle)

This implies that,

EW*PQ = EP*WM

Therefore,

MP*EW = WQ*EP  (properties of a similar triangle)

Answer:62

Step-by-step explanation: i had same question and its eight

Answer:

hes smoking som but 62 isnt it lol

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

Use pythagorean theorem

side 1 = 9

side 2 = 12

9^2 + 12^2 = third side ^2

third side = 15

9+12+15 = 36

Hope this helpful!!!!! :)

Answer:

A≈3170.96m²

Step-by-step explanation:

Answer:

6 inches

Step-by-step explanation:

1 yard =36 inches

36 inches< 42 inches

42-36 inches = 6 inches

Answer:

.1666676

Step-by-step explanation:

1 in = 0.0277778 yard

42  × 0.0277778 = 1.1666676

1.1666676 - 1 = .1666676

so 42 inches is .1666676 greater than 1 yard

Answer:

40

Step-by-step explanation:

20(2)=40

Answer:

40

Step-by-step explanation:

d=2r

 =2(20)

 =40

Answer:

x =20

Step-by-step explanation:

6% of x = 1.2

Change percent to decimal form

.06x = 1.2

Divide each side by .06

.06x / .06 = 1.2/.06

x =20

Answer:

4/7

Step-by-step explanation:

There are 11 odd numbers less than or equal to 21.

There is 1 two.

11 + 1 = 12 ways

12 outcomes/ 21 total outcomes =

4/7

Answer:

216 inches^3

Step-by-step explanation:

Volume= Length x Width x Height

Volume of Katie's cube is 3x3x3 (27 inches^3)

Malea's cube is 8x the volume of Katie's cube, so Malea's cube is 8 x 27, which is 216 inches^3

Answer:

2) Decreases as the habitat is increasingly polluted

Step-by-step explanation:

number 1 make no sense. 3; at the start, say the population is x. but taking into account the pesticide, it cant no longer ramain the same (pesticide kills some of the x) . 4; similar to the case for answer 3

Answer:

46 degrees

Step-by-step explanation:

Answer:

I think it c ssry if it is wrong

Answer:

D. pentagon

Step-by-step explanation:

Any shape that has 5 verticies is a pentagon.

Answer: (A). 6x^8y^5

B). 4x^5y^8

C). 12a^9b^7

D). 6s^9t^3

Step-by-step explanation:

Answer:

4.4 ft

Step-by-step explanation:

The sides of a right triangle are "tied together" mathematically by an equation called the Pythagorean theorem, which says: in any right triangle, the relationship between the two sides that make the right angle (we'll call them a and b) and the side across from it (c) is

[tex]a^2+b^2=c^2[/tex]

Let's sustitute these for the values we have in our problem (measured in feet)

[tex]9^2+a^2=10^2\\81+a^2=100\\a^2=19\\a=\sqrt{19}[/tex]

19 is between the perfect squares [tex]4^2=16[/tex] and [tex]5^2=25[/tex], so [tex]\sqrt{19}[/tex] must be between 4 and 5, a little bit closer to 4. Punching the expression into the calculator confirms this with a value of [tex]\sqrt{19}\approx4.3588[/tex] which we can round to 4.4 ft.

Answer:7 mins late

Step-by-step explanation:

the reason its 7 mins late is because that every day the bus is 1 more mit late