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12345 [234]
3 years ago
13

An angle measuring 75° turns through a circle. Write the fraction for how much of the circle the angle turns through.

Mathematics
2 answers:
gizmo_the_mogwai [7]3 years ago
7 0

Answer: The angle turns through \dfrac{5}{24} of the circle.

Step-by-step explanation:

Since we have given that

An angle measuring through a circle by turning = 75°

We know that angle formed by whole circle is 360°.

So, Fraction of the angle turns through

\dfrac{Angle\ rotation}{Total\ angle}

=\frac{75}{360}\\\\=\frac{5}{24}

Hence, The angle turns through \dfrac{5}{24} of the circle.

Marizza181 [45]3 years ago
6 0
You should know that a whole circle consists of 360 degrees. Since the problem states that an angle measures 75 degrees you would then realize it is 75 degrees out of 360 degrees, or 75/360. This simplifies to 5/24.
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Perform the indicated operation. Assume that all variables represent non-negative real numbers
Slav-nsk [51]

Without a vale to substitute for the variable, we can only simplify the expression: since 8=4\cdot 2 and 50 = 25\cdot 2, the expression becomes

-4\sqrt{8m} + 7\sqrt{50m} = -4\sqrt{2\cdot 4m} + 7\sqrt{2\cdot 25m}

Now use the property \sqrt{ab} = \sqrt{a}\sqrt{b}\ \forall\ a,b\geq 0

-4\sqrt{4}\sqrt{2m} + 7\sqrt{25}\sqrt{2m} = -8\sqrt{2m}+35\sqrt{2m}

Now we can factor \sqrt{2m}:

-8\sqrt{2m}+35\sqrt{2m} =\sqrt{2m}(-8+35) = 27\sqrt{2m}

6 0
3 years ago
What is the P.O.I for 5.2x-y=4 1/2x+y=1
geniusboy [140]

Answer:

X = 4/13

Y = - 5/13

Step-by-step explanation:

Since all of the equalities are true, the ordered pair is the solution of the system

3 0
3 years ago
What are the dimensions of the lightest​ open-top right circular cylindrical can that will hold a volume of 2744 cmcubed3​?
nata0808 [166]

Answer:

r=2.808cm    h = 100cm

then we get volume of cylinder that is 2744 As explained below

Step-by-step explanation:

Volume of cylinder = πr²h

Surface area of cylinder = 2πrh +πr²                                (1)

h= 2744 /πr²

put value oh h in equation (1)

Area =[2πr] 2744 /πr²

        =[5488/r +πr²]

dA/dx=0                                      

i.e     2πr=5488/r²

Solving this r.r= ∛5488/2π

                       =2.808

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4 0
3 years ago
2. Realiza la siguientes sumas de números enteros usando el método de tener y deber
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Answer:

a is the answer

Step-by-step explanation:

6 0
3 years ago
One day last week, 6 teachers joined 5/7 of the members of the running club in an after-school run. Priya counted a total of 31
Blababa [14]

Answer:

The running club has 35 members

Step-by-step explanation:

Let

x ----> the total members of the running club

we know that

The total members of the running club multiplied by 5/7 plus 6 must be equal to 31 people

so

\frac{5}{7}x+6=31

Solve for x

\frac{5}{7}x=31-6

\frac{5}{7}x=25

x=25(7)/5

x=35\ members

therefore

The running club has 35 members

5 0
4 years ago
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