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Darina [25.2K]
4 years ago
12

Write the equation for:

Mathematics
1 answer:
svetlana [45]4 years ago
6 0

Answer:

1. -16-(-11)=5

2.48 divided by -8 is 12

3.13/5=2

4.81-11=7

5.3*2=35

6 35*2=5

Step-by-step explanation:

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A boy walks 58 feet up a ramp having a 22.5 degree inclination. how high is he standing from the ground?
yKpoI14uk [10]

Boy is 22.5 feet high from the ground

The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec). In geometry, trigonometry is a branch of mathematics that deals with the sides and angles of a right-angled triangle. Therefore, trig ratios are evaluated with respect to sides and angles.

The given question can be solved by sin, as value of perpendicular is to be evaluated and height and angle is provided. Let height from the ground be x

sin(22.5°) = x / 58

x = 58sin22.5 = 58(.38258)  =  22.5 feet high.

Thus the Boy is 22.5 feet high from the ground.

Learn more about trigonometry here :

brainly.com/question/26719838

#SPJ4

6 0
2 years ago
Please explain how you got your answer because i cant grasp this :/
Triss [41]

Answer:

<u>390.4 in.²</u>

Step-by-step explanation:

  • Area of sector = πr² x θ/360
  • Area = 22/7 x 64 x 70/360
  • Area = 11 x 10 x 32 x 1/9
  • Area = 320 x 11/9
  • Area = 320 x 1.22
  • Area = <u>390.4 in.²</u>
3 0
3 years ago
Read 2 more answers
Calculus 2 Master needed, show steps with partial fraction decomposition <img src="https://tex.z-dn.net/?f=%5Cint%283x%5E2-26x%2
Vladimir79 [104]

Answer:

-ln|x−5| + 2 ln(x²+4) + 3 tan⁻¹(x/2) + C

Step-by-step explanation:

The fraction will be split into a sum of two other fractions.

The first fraction will have a denominator of x − 5.  The numerator will the a polynomial of one less order, in this case, a constant A.

The second fraction will have a denominator of x² + 4.  The numerator will be Bx + C.

\frac{3x^{2}-26x+26}{(x-5)(x^{2}+4)}=\frac{A}{x-5} +\frac{Bx+C}{x^{2}+4}

Combine the two fractions back into one using the common denominator.

\frac{A}{x-5} +\frac{Bx+C}{x^{2}+4}=\frac{A(x^{2}+4)+(Bx+C)(x-5)}{(x-5)(x^{2}+4)}

This numerator will equal the original numerator.

A(x^{2}+4)+(Bx+C)(x-5)=3x^{2}-26x+26\\Ax^{2}+4A+Bx^{2}-5Bx+Cx-5C=3x^{2}-26x+26\\(A+B)x^{2}+(C-5B)x+(4A-5C)=3x^{2}-26x+26

Match the coefficients.

A+B=3\\C-5B=-26\\4A-5C=26

Solve the system of equations.

A=-1\\B=4\\C=-6

So we can rewrite the integral as:

\int {(\frac{-1}{x-5}+\frac{4x-6}{x^{2}+4}) } \, dx

Solving:

\int {\frac{-1}{x-5}\, dx + \int {\frac{4x}{x^{2}+4}} \, dx - \int {\frac{6}{x^{2}+4} } \, dx

-\int {\frac{1}{x-5}\, dx + 2\int {\frac{2x}{x^{2}+4}} \, dx - 6\int {\frac{1}{x^{2}+4} } \, dx

-ln|x-5| + 2ln(x^{2}+4) - 6(\frac{1}{2} tan^{-1}(\frac{x}{2} )) + C

-ln|x-5| + 2ln(x^{2}+4) - 3 tan^{-1}(\frac{x}{2} ) + C

5 0
3 years ago
How to tell if a table is a exponential decay function an exponential growth function or neither
aliya0001 [1]

Answer:

Exponential function: a*b^x

if B is less than 1, it is a decay function

if B is more than 1, then it is a growth function  

if B is 0, then the function neither decreases nor increases

Example 1: 100*0.14^x

The y-intercept is decreasing by 86%

Example 2: 3000*1.14^x

The y-intercept is increasing by 14%

Example 3: 400*0

The y-intercept is neither decreasing nor increasing

Going back to the function, <u>a</u> is the y-intercept, and <u>b</u> is the rate

<u>I hope this will help you, I just started to learn about exponential functions..</u>

5 0
2 years ago
What is the solution of RootIndex 3 StartRoot x + 8 EndRoot = negative 4?
erica [24]

Answer: First option.

Step-by-step explanation:

Given the following equation provided in the exercise:

\sqrt[3]{x+8}=-4

You can follow the steps indicated below in order to find the solution of this equation:

1. Cubing both sides of the equation, you get:

(\sqrt[3]{x+8})^3=(-4)^3\\\\x+8=-64

2. Finally you must subtract 8 from both sides of the equation:

x+8-8=-64-8\\\\x=-72

You can notice that this solution matches with the first option.

5 0
4 years ago
Read 2 more answers
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