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ale4655 [162]
3 years ago
9

Can help me complete this problem please :c

Mathematics
2 answers:
timurjin [86]3 years ago
8 0
<h2>Answer:</h2>

<u>The angle is</u><u> ∅ = 2 radians</u>

<h2>Step-by-step explanation:</h2>

The area of a sector of a circle is ½ r² ∅, where r is the radius and ∅ the angle in radians subtended by the arc at the center of the circle.

So arranging the equation for Angle we will get

∅ = 2A/r²

So in the given diagram, by putting the values we get

∅ = 2A/r²

∅ = 2x5(3.14)/4²

∅ = 31.4/16

∅ = 2 radians

FrozenT [24]3 years ago
4 0

Answer:

112.5 deg

Step-by-step explanation:

First we find the area of the entire circle.

A = pi * r^2

A = pi * (4 m)^2

A = 16pi m^2

The entire circle has area = 16pi m^2.

The sector has area 5pi m^2.

Now we find the fraction the area of the sector is of the entire circle.

fraction = (5pi m^2)/(16pi m^2) = 5/16 = 0.3125

The full circle has a central angle of 360 deg, the entire circle.

The measure of the central angle of the arc of the sector is the same fraction of the entire circle.

measure of sector angle = 0.3125 * 360 deg = 112.5 deg

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Ray has found that his new car gets 31 miles per gallon on the highwayand 26 miles per gallon in the city. He recently drove 285
Mkey [24]

Answer:

Highway = 155\ miles

City = 130\ miles

Step-by-step explanation:

Given

Highway = 31mi/gallon

City = 26mi/gallon

Total\ Miles = 285

Total\ Gallons = 10

Required

Determine the number of miles driven on the highway and on the city

Represent the gallons used on highway with h and on city with c.

So, we have:

c + h = 10 ---- gallons used

and

31h + 26c = 285 --- distance travelled

In the first equation, make c the subject

c = 10 - h

Substitute 10 - h for c in the second equation

31h + 26c = 285

31h + 26(10 - h) = 285

Open bracket

31h + 260 - 26h = 285

Collect like terms

31h - 26h = 285 - 260

5h = 25

Make h the subject

h = \frac{25}{5}

h = 5

Substitute 5 for h in c = 10 - h

c = 10 - 5

c = 5

If on the highway, he travels 31 miles per gallon, then his distance on the highway is:

Highway = 31 * 5

Highway = 155\ miles

If in the highway, he travels 26 miles per gallon, then his distance on the highway is:

City = 26 * 5

City = 130\ miles

8 0
2 years ago
Give a brief explanation as to what kind of solution you expect for the linear equation 18x +1/2 equals 6(3x +25). Transform the
Makovka662 [10]

Answer:

there cannot be any solution of the given linear equation.

Step-by-step explanation:

i) the linear equation of 18x + \frac{1}{2} = 6(3x + 25)

ii) transforming the equation to a simpler form we get

              18x + \frac{1}{2} = 18x + 150  which implies that \frac{1}{2} = 150 which is not true.

iii) therefore there cannot be any solution of the given linear equation.

6 0
3 years ago
If possible please answer
mrs_skeptik [129]

Answer:

<h2>-3<x≤1     -or-    (-3,1]</h2>

4 0
3 years ago
(6x+12y)(x+2y+5)−(6y+3x)(2x+4y)−30(x−2y)
Dmitry [639]

Step-by-step explanation:

6x + 120y + 6x2

Final answer

5 0
3 years ago
What is the product of 2,681 and 4?
NikAS [45]
Product means multiply so 2,681 times 4 = 10,724
5 0
3 years ago
Read 2 more answers
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