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Lesechka [4]
3 years ago
14

Answer please thanks

Mathematics
1 answer:
Leto [7]3 years ago
3 0

Answer:

(2A /h) - b1 = b2

Step-by-step explanation:

A = 1/2 h ( b1 + b2)

Multiply each side by 2

2A = 2*1/2 h ( b1 + b2)

2A =  h ( b1 + b2)

Divide each side by h

2A/h= h/h ( b1 + b2)

2A/h=  b1 + b2

Subtract b1 from each side

2A /h - b1 = b2

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Find the measure of the central angle with an arc length equaling 29.21 and a circumference = 40.44
Dima020 [189]

measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Step-by-step explanation:

Arc length = 29.21

Circumference = 40.44

Central angle = ?

The formula used to find central angle is:

s=r\theta

where s = arc length, r= radius and Ф=central angle.

We need to find radius from circumference

c=2\pi r\\r=\frac{c}{2\pi } \\Putting\,\,values:\\r=\frac{40.44}{2*3.14}\\r=6.43

So, radius = 6.34

Now, finding central angle:

s=r\theta\\29.21=6.34\,\,\theta\\\theta=\frac{29.21}{6.34}\\\theta=4.607\,\,radians

So, measure of central angle is 4.607 radians with an arc length equaling 29.21 and a circumference = 40.44

Keywords: Central angle of circle

Learn more about Central angle of circle at:

  • brainly.com/question/8618791
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5 0
2 years ago
What is the approximate value of x in the diagram below? (Hint: You will need
Delicious77 [7]

Answer:

B. 39.59

Step-by-step explanation:

So 43 degrees, you know the length of the opposite side (27) and the angle (43 degrees), the only unknown is the hypotenuse. So you're looking for a trigonometric ratio that uses the angle (all of them do, except technically the inverse don't), the opposite side, and the hypotenuse. Sine is defined as \frac{opposite}{hypotenuse}. So let's plug in known values:

sin(43) = \frac{27}{x}

Multiply both sides by x

sin(43) * x = 27

divide both sides by sin(43)

x=\frac{27}{sin(43)}

Normally I would use a calculator, but in this case I'll use the approximation given in the problem of 0.682

x=\frac{27}{0.682}

simplify the fraction

x\approx39.59

8 0
2 years ago
Which statement about the function f(x)=|x+3| is true?
Stels [109]

The given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.

What do you mean by absolute maximum and minimum ?

A function has largest possible value at an absolute maximum point, whereas its lowest possible value can be found at an absolute minimum point.

It is given that function is f(x) = |x + 3|.

We know that to check if function is absolute minimum or absolute maximum by putting the value of modulus either equal to zero or equal to or less than zero and simplify.

So , if we put |x + 3| = 0 , then :

± x + 3 = 0

±x = -3

So , we can have two values of x which are either -3 or 3.

The value 3 will be absolute maximum and -3 will be absolute minimum.

Therefore , the given function f(x) = |x + 3| has both an absolute maximum and an absolute minimum.

Learn more about absolute maximum and minimum here :

brainly.com/question/17438358

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5 0
10 months ago
What is the point-slope form equation of the graph?
sammy [17]

Answer:

y-4= 1/2(x+2)

Step-by-step explanation:

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3 years ago
If there are 600 marbles in a jar, and 22% of them are red, how many are red
Blizzard [7]

Answer:

132

Step-by-step explanation:

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2 years ago
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