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2 years ago

Og ready.com/student/dashboard/home

Mathematics

1 answer:

Lesechka [4]2 years ago

5 0

Answer:

88 in

Step-by-step explanation:

we have to find the circumference of the circle which is ;

C = pie d

= 22/7 x 28

= 88 in

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Use the quadratic formula to solve for the roots of the following equation. x 2 – 4x + 13 = 0

Artyom0805 [142]

Quadratic Formula: $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , with a = x^2 coefficient, b = x coefficient, and c = constant

With our equation, plug in the values:

$x=\frac{4\pm \sqrt{(-4)^2-4*1*13}}{2*1}$

Next, solve the exponent and multiplications:

$x=\frac{4\pm \sqrt{16-52}}{2}$

Next, solve the subtraction:

$x=\frac{4\pm \sqrt{-36}}{2}$

Next, factor out i (i = √-1):

$x=\frac{4\pm \sqrt{36}i}{2}$

Next, solve the square root:

$x=\frac{4\pm 6i}{2}$

Lastly, divide and your answer is:

$x=2\pm 3i$

5 0

3 years ago

Read 2 more answers

Solve the equation 3(x+4.5x ) = 36. Explain your reasoning THOROUGHLY.

Vesna [10]

Answer:

$x \approx 2.18$

Step-by-step explanation:

$3(x+4.5x)=36$

we can use the distributive property and get

$3(x)+3(4.5x)=36\\\\3x+13.5x=36\\\\$

and we can add like terms

$(3+13.5)x=36\\\\16.5x=36$

and know we divide both sides by 16.5

$16.5x*(\frac{1}{16.5})=36*(\frac{1}{16.5})\\\\x=\frac{36}{16.5}$

and doing the dvision we get that

$x\approx 2.18$

3 0

2 years ago

Two ropes are attached to a large ballon in a parade. The people holding the ropes are 40 feet apart,and the angle between the t

qaws [65]

Ropes are 9.63 meters ans 8.178 meters.

Step-by-step explanation:

Step 1 :

List all the given things

Distance between people holding ropes = 40 =(40*0.3048) meters = 12.192 meters

Angle between two ropes = 86 degrees

Angle of elevation of one rope = 42 degrees

Step 2 :

Two angles of triangle are already given so third angle can be calculated as -

Third angle = 180 - ( 86 + 42 ) = 52 degrees

Step 3 :

As we know all three angles we will apply sine rule now, which is

$\frac{a}{sine A} = \frac{b}{sine B} = \frac{c}{sine C}$

Step 4 :

By putting values, we have

$\frac{a}{sine 52} = \frac{b}{sine 42} = \frac{12.192}{sine 86}$

Step 5 : Calculating a and b

$a = 12.192 * \frac{sine 52}{sine 86}$ , $b = 12.192 * \frac{sine 42}{sine 86}$

Step 6 :

By putting values of all sine and calculating we get,

a = 9.63 meters and b = 8.178 meters

4 0

3 years ago

A teacher reviews 4-1/2 papers per hour, how many papers will that teacher review in 6-1/3 hours

MrRa [10]

Answer:

$28\frac{1}{2}\ papers$

Step-by-step explanation:

step 1

Convert mixed numbers to an improper fractions

$4\frac{1}{2}=\frac{4*2+1}{2}=\frac{9}{2}$

$6\frac{1}{3}=\frac{6*3+1}{3}=\frac{19}{3}$

step 2

we know that

A teacher reviews 9/2 papers per hour

using proportion

Find how many papers will the teacher review in 19/3 hours

Let

x-----> the number of papers

$(9/2)/1=x/(19/3)$

$x=(19/3)(9/2)$

$x=28.5\ papers$

Convert to mixed numbers

$28.5=28\frac{1}{2}\ papers$

5 0

2 years ago

WILL GIVE BRAINLIEST AND POINTSSSS

KonstantinChe [14]

Answer:

1) no; 202 + 212 ≠ 282

2) yes; 142 + 482 = 502

3) 2

4)18.0

hope this helped

3 0

3 years ago