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2 years ago

What is x?: 22+54x= -20 + 60x

1 answer:

8 0

Answer:
x = 7

Explanation:
We are given
22 + 54x = -20 + 60x

We can add 20 on both sides using the Addition Property of Equality
42 + 54x = 60x

Subtract both sides by 54x using the Subtraction Property of Equality
42 = 6x

Divide both sides by 6 using the Division Property of Equality
x = 7

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A circle has a diameter of 8 cm. An angle in the center of the circle creates an arc AB. That angle's measure is pi/4 rad. What

zhenek [66]

Answer:

3.14 cm

Step-by-step explanation:

From the question,

Applying

s = πdФ/360................... Equation 1

Where s = length of arc AB, d = diameter of the circle, Ф = angle at the center of the circle, π = pie

From the question,

Given: d = 8 cm, Ф = π/4 rad = 45°

Constant: π = 22/7

Substitute these values into equation 1

s = (22/7)(8)(45)/360

s = 3.14 cm.

Hence the lenght of arc AB = 3.14 cm

8 0

2 years ago

I need help it’s homework and idk how to do it

Volgvan

Answer:

x = 40 1/2

Step-by-step explanation:

The hash marks tell you the triangles are similar and the smaller one is 1/2 the size of the larger one. Then x is half the length of the corresponding segment marked 81.

x = 81/2

x = 40 1/2

___

You may have to write it as 81/2 or as 40.5. Sometimes the answer needs to be in a particular form.

3 0

2 years ago

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:

#learnwithBrainly

5 0

2 years ago

How many liters give u 3.1KL

MariettaO [177]

Answer:

3100 liters

Step-by-step explanation:

multiply the value by 1000

7 0

2 years ago

A quadratic function is a function of the form y=ax^2+bx+c where a, b, and c are constants. Given any 3 points in the plane, the

pochemuha

Answer:

The quadratic function whose graph contains these points is $y=-x^{2}-2x-2$

Step-by-step explanation:

We know that a quadratic function is a function of the form $y=ax^{2}+bx+c$ . The first step is use the 3 points given to write 3 equations to find the values of the constants a,b, and c.