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gtnhenbr [62]
3 years ago
10

How do i do this problem ?

Mathematics
1 answer:
Vladimir79 [104]3 years ago
6 0
When it asks for f(-π) or f(0) or f(whatever) it essentially means you need to sub in the values for whatever into the bracket into the function 

so if f( \theta) =sin(\theta)

and then you're asked to find f(-π) then it essentially wants you to find sin(-π)

Therefore 

f(-π) = sin(-π) = 0
f(0) = sin (0) = 0
f(π) = sin(π) = 0
f(2π) = sin2π = 0

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A craftsman is making a dulcimer with the same dimensions as the one shown. The surface shown requires a special, more durable t
Bogdan [553]

Answer:

\displaystyle A=\frac{3h^2}{2}+h

Step-by-step explanation:

<u>Area of trapezoid</u>

Given a trapezoid shape whose parallel sides measure b1 and b2 and whose height (perpendicular to the base) is h, then the area of the trapezoid is given by

\displaystyle A=\frac{b_1+b_2}{2}\cdot h

The dulcimer has the following dimensions

b_1=2h+1

b_2=h+1

and height h

Thus

\displaystyle A=\frac{2h+1+h+1}{2}\cdot h=\frac{3h+2}{2}\cdot h

Operating

\displaystyle A=\frac{3h^2+2h}{2}=\frac{3h^2}{2}+h

\boxed{A=\frac{3h^2}{2}+h}

Is the required polynomial

8 0
3 years ago
What is the inverse of the function g(x) = x3/8 + 16?
jeka57 [31]

Answer

g^-1(x)=\frac{8}{3}x-\frac{128}{3}

Step-by-step explanation:

7 0
3 years ago
In a class, there are 20 girls and 10 boys. What is the percentage of the boys?​
gayaneshka [121]

Answer:

33.33%

Step-by-step explanation:

  • Number of boys=10
  • Number of girls=20
  • Total number of students=

Number of boys + Number of girls

10+20

30

  • Percentage of boys=

10/30×100%

33.33%

4 0
3 years ago
Given points A (1, 2/3), B (x, -4/5), and C (-1/2, 4) determine the value of x such that all three points are collinear
AlladinOne [14]

Answer:

x=\frac{83}{50}

Step-by-step explanation:

we know that

If the three points are collinear

then

m_A_B=m_A_C

we have

A (1, 2/3), B (x, -4/5), and C (-1/2, 4)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

step 1

Find the slope AB

we have

A(1,\frac{2}{3}),B(x,-\frac{4}{5})

substitute in the formula

m_A_B=\frac{-\frac{4}{5}-\frac{2}{3}}{x-1}

m_A_B=\frac{\frac{-12-10}{15}}{x-1}

m_A_B=-\frac{22}{15(x-1)}

step 2

Find the slope AC

we have

A(1,\frac{2}{3}),C(-\frac{1}{2},4)

substitute in the formula

m_A_C=\frac{4-\frac{2}{3}}{-\frac{1}{2}-1}

m_A_C=\frac{\frac{10}{3}}{-\frac{3}{2}}

m_A_C=-\frac{20}{9}

step 3

Equate the slopes

m_A_B=m_A_C

-\frac{22}{15(x-1)}=-\frac{20}{9}

solve for x

15(x-1)20=22(9)

300x-300=198

300x=198+300

300x=498

x=\frac{498}{300}

simplify

x=\frac{83}{50}

8 0
3 years ago
*<br> The value of x is:<br> a) 4.2<br> b) 14<br> c) 18<br> d) 313<br> 4<br> 12
Lana71 [14]

Answer:

do you have pictures that I can see

3 0
3 years ago
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