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3 years ago

The area of sector ORT is 187

Mathematics

1 answer:

AysviL [449]3 years ago

7 0

Answer:

120º

Step-by-step explanation:

First we need to know the fraction of the area of ORT to the area of the circle.

Fraction = 18π/54π = 1/3

We know that a circle is 360º, and sector ORT is xº. The fraction of the sector of ORT to the circle must also be equal to 1/3.

x/360 = 1/3

3x = 360

x = 120º

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Find the measure of the unknown angle.

bezimeni [28]

Answer:

120 °

Step-by-step explanation:

the angle contained in a circle = 360 °

135 + 105 +? = 360

240 + ? =360

? = 360 - 240

= 120°

6 0

3 years ago

Solve 4x² - 3x - 2 = 0 give your solutions to 3 significant figures

yarga [219]

Step-by-step explanation:

4x² - 3x - 2 = 0

0 = 4x² - 3x - 2

0 = 16x - 3x - 2

0 = 13 x -

4 0

3 years ago

Read 2 more answers

1/56 divided by -30 write fractions is simplest form

Nady [450]

Simplified form of 1/56 divided by -30 is $=-\frac{1}{1680}$

Step-by-step explanation:

We need to solve 1/56 divided by -30 in simplest form.

Solving:

Writing in mathematical form:

$\frac{1}{56}\div -30$

Converting division symbol into multiplication and taking reciprocal of -30

$=\frac{1}{56}\times \frac{1}{-30}$

Simplifying:

$=\frac{1}{56*-30}$

$=-\frac{1}{1680}$

So, simplified form of 1/56 divided by -30 is $=-\frac{1}{1680}$

Keywords: Solving Fractions

Learn more about Solving Fractions at:

#learnwithBrainly

4 0

4 years ago

Chose the substitution method to solve the system of equations choose the correct ordered pair 3x-y=7 2x-2y2

xenn [34]

Answer:

(3, 2)

Step-by-step explanation:

3x-y=7

2x-2y=2

------------

y=3x-7

substitute this equation to 2x-2y=2

first, simplify 2x-2y=2 into x-y=1.

-----------------------------------------------------

x-(3x-7)=1

x-3x+7=1

-2x+7=1

-2x=1-7

-2x=-6

x=-6/-2=3

y=3(3)-7=9-7=2

Answer: x=3, y=2.

7 0

4 years ago

Suppose y varies jointly as x and z. What is y when x = 2 and z = 3, if y = 20 when x = 4 and z = 3?

Julli [10]

Answer:

y = 10

Step-by-step explanation:

Given y varies jointly as x and z then the equation relating them is

y = kxz ← k is the constant of variation

To find k use the condition y = 20 when x = 4 and z = 3 , then

20 = k × 4 × 3 = 12k ( divide both sides by 12 )

$\frac{20}{12}$ = k , that is

k = $\frac{5}{3}$

y = $\frac{5}{3}$ xz ← equation of variation

When x = 2 and z = 3 , then

y = $\frac{5}{3}$ × 2 × 3 = 5 × 2 = 10

7 0

3 years ago