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4 years ago

1. Which of the following relations is a function?

Mathematics

1 answer:

PIT_PIT [208]4 years ago

5 0

Answer:

Step-by-step explanation:

first one

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the function c(x) 3x-4 determines how many cupcakes need to be purchased for a birthday party, where x is the number of kids at

Marizza181 [45]

See picture for math work and answer.

8 0

3 years ago

the figure below shows a circle centre of radius 10 cm the chord PQ=16cm calculate the area of the shaded region

m_a_m_a [10]

Step-by-step explanation:

OPQ originally forms a sector, the formula for sector is

$\frac{x}{360} \pi {r}^{2}$

where x is the degrees of rotation between the two radii.

We know three sides length and is trying to find an angle between the radii so we can use law of cosines which states that

$16 = \sqrt{10 {}^{2} + 10 {}^{2} - 2(100) \times \cos(o) }$

This isn't the standard formula, it's for this problem

$16 = \sqrt{200 - 200 \times \cos(o) }$

$16 = \sqrt{200 - 200 \cos(o) }$

$256 = 200 - 200 \cos(o)$

$56 = - 200 \cos(o)$

$- \frac{7}{25} = \cos(o)$

$\cos {}^{ - 1} ( - \frac{7}{25} ) = \cos {}^{ - 1} ( \cos(o) )$

$106.26 = o$

So we found our angle of rotation, which is 106.26

Now, we do the sector formula.

$\frac{106.26}{360} (100)\pi$

$\frac{10626}{360} \pi$

is the area of sector.

Now let find the area of triangle, we can use Heron formula,

The area of a triangle is

$\sqrt{s(s - a)(s - b)(s - c)}$

where s is the semi-perimeter.

To find s, add all the side lengths up, 10,10,16 and divide it by 2.

Which is

$\frac{36}{2} = 18$

$\sqrt{18(18 - 10)(18 - 10)(18 - 16)}$

$\sqrt{18(8)(8)(2)}$

$\sqrt{(36)(64)}$

$6 \times 8 = 48$

So our area of the triangle is 48. Now, to find the shaded area subtract the main area,( the sector of the circle) by the area of the triangle so we get

$\frac{10626}{360} - 48$

Which is an approximate or

44.73

6 0

2 years ago

What is the equation of a line, in general form, that passes through point (1, -2) and has a slope of 1/3

GenaCL600 [577]

equation of a line that passes through the point (x1,y1) and has a slope of m is

y-y1=m(x-x1)

given

(1,-2) and slope of 1/3

y-(-2)=1/3(x-1)

general form is ax+by=c (or ax+by+c=0) where a,b,c are integers and a is positive

y-(-2)=1/3(x-1)

y+2=1/3(x-1)

times both sides by 3

3y+6=x-1

minus 3y both sides

6=x-3y-1

add 1 both sides

7=x-3y

x-3y=7

To get ax+by+c=0 form, subtract 7 from both sides to get
x-3y-7=0

5 0

3 years ago

Which pairs of rectangles are similar polygons?<br><br> pls help me

Orlov [11]

Answer:

3.√

4.√

Step-by-step explanation:

similar rectangles have proportional sides so compare corresponding sides to check

1. 169/1.3 = 49/0.7 → 130 ≠70 no

2. 18.55/5.3 = 10.5/3.5 → 3.5 ≠ 3 no

3. 120/24 = 60/12 → 5 = 5 yes

4. 189/2.1 = 81/0.9 → 90 = 90 yes

6 0

3 years ago

A boy is 5 years old and his sister is three times as old as he is.

hichkok12 [17]

His sister will be 20, right!

3 0

3 years ago

Read 2 more answers