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Nookie1986 [14]
3 years ago
9

One T-shirt is sold for every 5 people who attend a concert.

Mathematics
2 answers:
Marta_Voda [28]3 years ago
4 0
The ratio of people to t shirts is 5 to 1 
Otherwise written as 5:1
Maurinko [17]3 years ago
3 0

Answer:  The required ratio of people to T-shirts sold is 5 : 1.

Step-by-step explanation:  Given that one T-shirt is sold for every 5 people who attend a concert.

We are to find the ratio of people to T-shirts sold.

Let 1x represents the number of total T-shirts sold and 5x be the number of people that attended the concert.

Therefore, the ratio of people to T-shirts sold is given by

R=\dfrac{5x}{1x}=\dfrac{5}{1}=5:1.

Thus, the required ratio of people to T-shirts sold is 5 : 1.

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Lorico [155]

Answer:-16<-13<-6<1<5<6<12

1

-16

12

Step-by-step explanation:

8 0
3 years ago
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3 0
3 years ago
In the figure below AB is a diameter of circle P. What is the arc measure of minor arc AC in degrees? ​
arlik [135]

Answer:

P = 139

Step-by-step explanation:

See attachment for complete question

Required

Determine measure of Arc length AC

The interpretation of this question is to find P

If AB is the diameter, then

P + 41 = 180

P + 41 - 41= 180 - 41

P = 139

<em>Hence, the measure is 139 degrees</em>

3 0
3 years ago
Triangle DEF has vertices D(−4, 1), E(2, 3), and F(2, 1) and is dilated by a factor of 3 using the point (1, 1) as the point of
CaHeK987 [17]

Answer: D'(-14,1);\ E'(4,7);\ F'(4,1)

Step-by-step explanation:

Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':

D_{O,k}(x,y)=(k(x-a)+a, k(y-b)+b)

Where "O" is the center of dilation at (a,b) and "k" is the scale factor.

In this case you can identify that:

(a,b)=(1,1)\\k=3

Therefore, susbtituting values into the formula shown above, you get that the coordinates ot the resulting triangle D'E'F, are the following:

Vertex D' → (3(-4-1)+1,\ 3(1-1)+1)=(-14,1)

Vertex E' → (3(2-1)+1,\ 3(3-1)+1)=(4,7)

Vertex F' → (3(2-1)+1,\ 3(1-1)+1)=(4,1)

6 0
3 years ago
In circle O, chord AOB is drawn. Point C is located on the exterior of the circle with tangent CB and secant CDA drawn.Itisknown
ser-zykov [4K]

Answer:

  (a) 4

  (b) 2√3

  (c) 60°

  (d) 120°

Step-by-step explanation:

(a) The relationship between tangents and secants is ...

  CB^2 = CD·CA

Filling in the given values, we find ...

  CB^2 = 2·(2+6) = 16

  CB = √16 = 4

The length of BC is 4 units.

__

(b) Triangle ABC is a right triangle, so the sides of it satisfy the Pythagorean theorem.

  CA^2 = CB^2 +AB^2

  8^2 = 16 +AB^2

  AB = √48 = 4√3

The radius is half the length of AB, so the radius is 2√3.

__

(c) The measure of angle C can be determined from the cosine relation:

  cos(C) = CB/CA = 4/8 = 1/2

  C = arccos(1/2) = 60°

The measure of angle C is 60°.

__

(d) Arc AD is intercepted by angle ABD, which has the same measure as angle C. Hence the measure of arc AD is twice the measure of angle C.

The measure of arc AD is 120°.

3 0
3 years ago
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