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2 years ago

The diagram represents the relationship of number sets. The four choices given will complete the diagram. Which BEST describes

Mathematics

1 answer:

NISA [10]2 years ago

5 0

It’s D.
Natural numbers are 1,2,3,4,5,etc...
Whole numbers are 0,1,2,3,4,5,etc...
Integers are -1,-2,-3,-4,-5,-6,etc...
Rational numbers are -8/12, 2/3, 0.468,etc...

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I need to know if it’s A B C OR D

Liula [17]

SOLUTION

Consider the property, opposite angle of a cyclic quadrilateral are supplementary

hence

$\angle NMP+\angle NOP=180^0$

Recall that

$\begin{gathered} \angle NMP=\angle M=(8x-24)^0 \\ \text{and } \\ \angle NOP=\angle O=(4x)^0 \end{gathered}$

Hnece, we have that

$\begin{gathered} \angle M+\angle O=180^0(opposite\text{ angles of a cyclic quadrilateral)} \\ (8x-24)^0+4x^0=180^0 \end{gathered}$

Then

$\begin{gathered} 8x-24+4x=180 \\ 8x+4x-24=180 \\ 12x-24=180 \\ \text{Add 24 t o both sides } \\ 12x-24+24=180+24 \\ 12x=204 \\ \text{divide both sides by 12} \\ \frac{12x}{12}=\frac{204}{12} \\ \text{Then} \\ x=17 \end{gathered}$

Hence

x=17

Since

$\begin{gathered} \angle NOP=(4x)^0 \\ \text{substitute the value of x, we have } \\ \angle NOP=4\times17=68^0 \\ \text{Hence } \\ \angle NOP=68^0 \end{gathered}$

Therefore

The measure of angle NOP is 68⁰

Answer; 68⁰ (The fourth Option )

5 0

1 year ago

2. The radius of a circle is 7cms. The angle subtended by an arc of the circle at centre is 45º. Find the area of sector.

Vitek1552 [10]

Answer:

19.2cm²

Step-by-step explanation:

Given parameters:

Radius of the circle = 7cm

Angle subtended by the arc = 45°

Unknown:

Area of the sector = ?

Solution:

To find the area of the sector, use the expression below;

Area of sector = $\frac{Angle of the arc}{360} x \pi r^{2}$

where r is the radius ;

Insert the parameters and solve;

Area of sector = $\frac{45}{360}$ x $\pi$ x 7²

Area of sector = 19.2cm²

3 0

3 years ago

Need help with 14 and 15 plz due tonight

lutik1710 [3]

It is asking to find the cost (c) for (p) number of pizzas at $8 each. So 1 pizza would be $8 and 2 would be 2 * 8 = 16 and 3 would be 3 * 8 = 24 and 4 would be 4 * 8 = 32 and p would be p * 8 = c. So the answer is:
c = 8p

15. a ratio is a fraction comparing numbers showing how they relate to each other.

if she mixed 3 ounces of blue and 2 of yellow, this would make 5 ounces of green paint. So the ratio is 3/2. to get 20 ounces of green paint she would have to do this mixture 4 times since she gets five each time. If she mixes 2 ounces of yellow paint four times, she would use 4 * 2 = 8 ounces of yellow painy

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3 years ago

Read 2 more answers

Find an equation of the parabola with focus (2, −3) and directrix y = 1.

Likurg_2 [28]

Answer:

Step-by-step explanation:

The correct option is option (C).

The required equation of the parabola is

Step-by-step explanation:

Formula:

The distance of a point (x₁,y₁) from a line ax+by+c=0 is

The distance between two points (x₁,y₁) and (x₂,y₂) is

Given that, the focus of the parabola is (2,3) and directrix y= - 1.

We know that, a parabola is the locus of points that equidistant from the directrix and the focus.

Let any point on the parabola be P(x,y) .

The distance of P from the directrix is

=y+1

The distance of the point P from the focus (2,3) is

According to the problem,

The required equation of the parabola is

5 0

2 years ago

10. Simplify. * * -4i (81) Answer: A.32 B.50 C.47 D.35

11111nata11111 [884]

Answer:

A Is the correct answer...

3 0

2 years ago