find the nth term of the sequence 7, 17, 27, 37​

Answer:

E, 297.1

Step-by-step explanation:

First, find the area of the triangle using the formula a= (bh) / 2

Base x height would be 16 x 12, which is 192

192 / 2 is 96 sq meters

Then, find the area of the circle using the formula a= Pi (r^2)

If the diameter is 16, the radius would be 8 because you divide by 2

8^2 is 64, 64 times Pi is approximately 201.1

Finally, add the areas together, 96 + 201.1 is 297.1 or E

Answer:

y^2

step-by-step-explanation:

Answer:

c

a fraction bar Is just a division bar, it's c.

Answer:

$9,151.38

Hopefully that is correct!!

Answer:

[tex]\huge\boxed{\text{B) } 22.5 \ \text{feet}}[/tex]

Step-by-step explanation:

We can use basic trigonometric functions to find the closest height of the escalator.

Let's set up a picture from what we already know. The length of the escalator is 30 feet, and it forms a 41 degree angle with the top. Since it will form a 90 degree angle with the ground, we can find the angle between the ground and the beginning of the escalator.

Since all triangles have an angle sum of 180:

Now we know that the triangle looks something like this.

                   /  | 41°

                 /    |

               /      |

            /         |

30      /           |

       /              |                                                

     /                |

  /                   |

/__________| 90°

49°

We need to find the length of the side between the 41 and 90° angle.

To find which trigonometric operation to use on this triangle, we can use the acronym SOH CAH TOA.

Sine = Opposite / Hypotenuse

Cosine = Adjacent / Hypotenuse

Tangent = Opposite / Adjacent

We can use the sine of the 49 degree angle (opposite / hypotenuse) to find our missing side (since we know the hypotenuse).

Let's set up an equation and solve with our calculator.

We can calculate the sine of 49 with our calculator. We'd end up multiply 30 and that value and get 22.6.

Since the closest value to 22.6 on the answer choices is 22.5, the correct answer would be B) 22.5 feet.

Hope this helped!

Answer:

The answer is B.

Step-by-step explanation:

B. 22.5 feet

Answer: 5.5

When you subtract 5.5 from 5.5 you get 0

Answer:

Please Provide the an attachment.Then i can show u my answer

Answer:

Triangle b = 4, h = 7

Step-by-step explanation:

Rectangle area = L*W

Triangle area = (B*H)/2

Rectangle/2 = Triangle

If you want triangle to = rectangle, then rectangle*2/2

Rectangle = 4*3.5 = 14

Triangle = 4*7 = 28/2 = 14

Using our trig functions, we know that tan x = opposite side of a right triangle divided by the adjacent side of the right triangle.

So, tan x = p/r.

Answer: tan x°

The trigonometric function gives the ratio of different sides of a right-angle triangle. The ratio of p and r can be written as tan(x°) and sec(y°).

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As per the given figure, the ratio of the p\r can be written as shown below,

In terms of angle x,

tan(x°) = p units / r units

tan(x°) = p/r

In terms of angle y,

tan(y°) = r / p

1 / tan(y°) = r/p

sec(y°) = r/p

Hence, the ratio of p and r can be written as tan(x°) and sec(y°).

Learn more about Trigonometric functions:

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Answer: c = [tex]\sqrt{89}[/tex]

8² + 5² = c²

64 + 25 = c²

[tex]\sqrt{89}[/tex] = [tex]\sqrt{c^{2} }[/tex]

[tex]\sqrt{89}[/tex] = c

The length of the third side is 9.4.

Pythagorean theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We have,

Applying Pythagorean theorem.

Third side = x

x² = 8² + 5²

8 x 8 = 64 and 5 x 5 = 25

So,

x² = 64 + 25

x² = 89

x = √89
x = 9.4333

Rounding to the nearest tenth

x = 9.4

Thus,

The length of the third side is 9.4.

Learn more about the Pythagorean theorem here:

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Sorry i dont know what a matrix is but the answer to all 3 of the workers time is, 66

Answer:

The answer is 2.

Step-by-step explanation:

11(7) - 75

77-75

=2

Answer:

$12644.56

Step-by-step explanation:

one year = 12 month

4,000 * (1.02)^(6*12) = 16644.5615

16644.5615-4000 = 12644.5615

Answer:

Step-by-step explanation:

[tex]A=P(1+r/c)^{ct}\\ \\ A=4000(1+.02/12)^{12(6)}\\ \\ A\approx \$ 4509.54[/tex]

Answer:

V = 0.523598776

Step-by-step explanation:

Given:

The equation of a circle is:

[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]

To find:

The center of the circle and its radius.

Solution:

The standard form of a circle is:

[tex](x-h)^2+(y-k)^2=r^2[/tex]          ...(i)

Where, (h,k) is center and r is the radius of the circle.

The given equation of the circle is:

[tex]x^2+y^2-x-2y-\dfrac{11}{4}=0[/tex]

Write the given equation in standard form of a circle.

[tex](x^2-x)+(y^2-2y)-\dfrac{11}{4}=0[/tex]

[tex]\left(x^2-x+\left(\dfrac{1}{2}\right)^2\right)+(y^2-2y+1^2)-\dfrac{11}{4}-\left(\dfrac{1}{2}\right)^2+1^2=0[/tex]

[tex]\left(x-\dfrac{1}{2}\right)^2+(y-1)^2-\dfrac{11}{4}-\dfrac{1}{4}-1=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2-\dfrac{12}{4}-1=0[/tex]

On further simplification, we get

[tex]\left(x-0.5\right)^2+(y-1)^2-3-1=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2-4=0[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2=4[/tex]

[tex]\left(x-0.5\right)^2+(y-1)^2=2^2[/tex]            ...(ii)

On comparing (i) and (ii), we get

[tex]h=0.5,k=1,r=2[/tex]

Therefore, the center of the circle is (0.5,1) and radius is 2 units.

Answer:

about 62%

Step-by-step explanation:

add all of the numbers

subtract the number of purple skittles

do 16÷26

multiply your answer by 100

get 61.5

round up

Answer:

a=6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4a+1−a=19

(4a+−a)+(1)=19 (Combine Like Terms)

3a+1=19

Step 2: Subtract 1 from both sides.

3a+1−1=19−1

3a=18

a=18/3

a=6

--

Answer:

6 phones and 18 accessories

Step-by-step explanation:

12P + 3.50A = 135

A = 12 + P

12P + 3.50(12 + P) = 135,

12P + 42 +3.50P = 135

15.50P = 93

P = 6 phones

A = 12 + 6 = 18 accessories

Step-by-step explanation:

Pathagory and Theorem

a^2+b^2=c^2

(x-3)^2+(x-4)^2=6^2

expand:

2x^2-14x+25=36

2x^2-14x-11=0

x=(\sqrt{71}+7)/2

perimeter=(x-3)+(x-4)+6=2x-1

insert the value for x into 2x-1

[tex]\sqrt{71}[/tex]+6=perimeter

Hope that helps :)

9514 1404 393

Answer:

  2x -1

Step-by-step explanation:

The perimeter is the sum of the side lengths.

  P = 6 + (x -4) + (x -3)

  P = 2x -1 . . . . . . collect terms

The perimeter is 2x -1.

_____

Additional comment

There is nothing in the problem statement that suggests this is a right triangle. Without knowing at least one angle, we cannot solve for a numerical value for the perimeter. The problem title suggests we're to leave the result in polynomial form.

Answer:

7×7-5/7+3(5)

49-5/7+15

44/22

=2

so c squared - b

over c+3b is =2

Answer:

345/7

Step-by-step explanation:

h=345/7 tell me if its right

Answer:

i think is is 64a

Step-by-step explanation:

Answer:

[tex](8 - 3a)(8 - 3a) \\ 8(8 - 3a) - 3a(8 - 3a) \\ 64 - 24a - 24a + 6a {}^{2} \\ 64 - 48a + 6a {}^{2} \\ 6a {}^{2} - 48a + 64[/tex]

Answer:

The slope is 4

Step-by-step explanation:

rise over run

Answer:

No answer just clues

Step-by-step explanation:

x/100*160/1=185/1

y/100*56/1=77/1

I just can't do anymore metal math today, sorry.

Answer:

[tex]2x^3y^3[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{2x^5y^7} * \sqrt[3]{4x^4y^2} \\\\2x^3y^3[/tex]

Answer:

Step-by-step explanation:

Igneous

Sedimentary

Metamorphic

Hope that helps!

Answer:

Amir's car will cost £10348.88 after 23 years.

Step-by-step explanation:

I finally found a UK human!

This is compound interest so you have to find a decimal multiplier and multiply that with £16470 to the power of 23.

The decimal multiplier would be 0.98. This is because you do 100% - 2% as depreciating basically means a decrease, which gives you 98% and then you divide that by 100 to get your decimal multiplier - 0.98.

16470 × [tex]0.98^{23}[/tex] = £10348.88

I hope that helps you!! ^-^

Answer:

$1470

Step-by-step explanation:

$2100 * 70% = $1470