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elixir [45]
3 years ago
13

The measures of four angles of the Pentagon on 125° 134° and 60° 90° what is the measure of the fifth angle

Mathematics
2 answers:
Leona [35]3 years ago
7 0
A pentagon equals 540 degrees add them up.
ozzi3 years ago
5 0
A pentagon measures 540 degrees, subtract 540 to all the angle:
540 - (125+134+60+90) = 131 degrees is your answer
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Yvonne is solving the quadratic equation 6x2 + 24x + 7 = 0 by completing the square. Her first four steps are shown in the table
vladimir1956 [14]

The step in which Yvonne first makes an error while solving the quadratic equation by completing the square in step 1.

<h3>What is a quadratic equation?</h3>

A quadratic equation is an equation in which the highest power of the variable is two.

Yvonne is solving the quadratic equation, which is,

6x² +24x +7 =0

He is solving the above equation by completing the square.

The first step to solving this quadratic equation by completing the square is, Take the constant value 7 at the opposite side of the equation as,

6x² +24x = -7

Here, the number seven was a positive number, which we have changed to negative because this number brings the other side of the equation.

In the image attached below, the first step of  the Yvonne while solving the equation by completing the square is,

6x² +24x = 7

Here, Yvonne does not change the sign of the number 7 while taking it to another side of the equation.

Hence, the step in which Yvonne first makes an error while solving the quadratic equation by completing the square is step 1.

The table is attached with the answer below

Learn more about the quadratic equation here;

brainly.com/question/17177510

#SPJ1

8 0
2 years ago
Create an expression to represent the following<br><br> (picture is included below)
zheka24 [161]

Answer:

7) x + 0.09x, where x is the price of the car

8) x + 0.05x where x is the price of clothing

9) It will take michael about 9.14 minutes to eat 32 cookies.

Step-by-step explanation:

7) 9% of x is the same as 0.09x, so you can write this:

x + 0.09x, where x is the price of the car

8) same thing for this one

x + 0.05x where x is the price of clothing

9) michael can eat cookies at a rate of 21 cookies per 6 minutes, or \frac{21}{6}

Because he will be eating them at the same pace, you can write an equation and solve for the variable:

\frac{21}{6} = \frac{32}{y}

cross multiply the proportion:

21 × y = 32 × 6

solve:

21y = 192

y ≈ 9.14

It will take michael about 9.14 minutes to eat 32 cookies.

This works because they both simplify to 3.5 cookies per minute

\frac{21}{6} = 3.5

\frac{32}{9.14} = 3.5

6 0
3 years ago
Use quadratic formula to find the solutions to the quadratic equation 2x^2-3x+6=0
defon

Answer:

2x² - 3x + 6 = 0

a = 2 b = -3 c = 6

delta = b² - 4ac = 9 - 4.2.6 = -39

=  > x =  \frac{3 +  \sqrt{39}i }{4}  \: or \: x =  \frac{3 -  \sqrt{39} i}{4}

8 0
3 years ago
Read 2 more answers
A giant pencil, in the shape of a cylinder, has a length of 36 inches and a diameter of 6 inches. On top, it has a cone-shaped t
zysi [14]
R=3
Vcyl.=36(9π)=324π
Vcone=4(9π)=36π
V pencil=324π+36π=360π
4 0
3 years ago
Find the volume of the solid of revolution formed by rotating the bounded region about the x-axis.
lana66690 [7]

Answer:

40.5 \pi cubic units

Step-by-step explanation:

Given is a function exponential as

f(x) =\sqrt{ (x-4)}

The region bounded by the above curve, y =0 ,  x =13 is rotated about x axis.

the intersection point is at x=4

The limits for x are 4 and 13

The volume when rotated through x axis is found by

\pi\int\limits^b_a {f(x)^2} \, dx

Here a = 4 and b =13

volume = \pi\int\limits^13_(4) x-4} \, dx

=\pi (\frac{x^2 }{2}-4x )\\= \frac{\pi}{2} (153-72)\\= 40.5 \pi.cubic units

3 0
3 years ago
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