Calculate the area of a regular hexagon with side length 10.0 ft.

A sixth-grade class went on a field trip. There were 24 chaperones and 84 students on the trip. What is the ratio of chaperones

Morgarella [4.7K]

Answer:

24 : 84 = 2 : 7

Step-by-step explanation:

We can simplify the ratio 24 : 84 by dividing both terms by the greatest common factor (GCF).

The GCF of 24 and 84 is 12.

Divide both terms by 12.

24 ÷ 12 = 2

84 ÷ 12 = 7

Therefore:

24 : 84 = 2 : 7

8 0

4 years ago

A tower leans at an angle of about 84.7°. The figure shows that 193 feet from the base of the tower, the angle of elevation to t

Volgvan

Answer:

the distance to the nearest foot from the base to the top of the tower is 184 feet .

Step-by-step explanation:

4 0

2 years ago

61,403,921,575 in word form

Nataliya [291]

The answer would be "Sixty-one billion, four hundred three million, nine hundred twenty-one thousand, five hundred seventy-five".

You can find this by labeling each section (billions, millions, thousands, etc), and writing out each number. Numbers like 61, 21 and 75 have a hyphen between the tens place and the ones place. Doing this, you'll get "sixty-one billion, four hundred three million, nine hundred twenty-one thousand, five hundred seventy-five" as an answer.

I hope this helps!

7 0

3 years ago

What is the area of the model in the problem?

nata0808 [166]

Answer:

$A=x^2+12x+27\ units^2$

Step-by-step explanation:

we know that

The area of the model is equal to the area of a rectangle

The area of a rectangle is equal to

$A=LW$

we have

$L=x+9\ units$

$W=x+3\ units$

substitute

$A=(x+9)(x+3)$

Apply distributive property

$A=x^2+3x+9x+27$

Combine like terms

$A=x^2+12x+27\ units^2$

4 0

4 years ago

Meg plotted the graph below to show the relationship between the temperature of her city and the number of sweaters sold at a st

Luda [366]

Solution:

The description about the graph is:

Graph shows 0 to 30 on x axis at increments of 5 and 0 to 12 on y axis at increments of 1. The label on the x axis is Temperature in degree C, and the label on the y axis is Number of Sweaters Sold. Dots are made at the ordered pairs 0, 12 and 2.5, 10 and 2.5, 11 and 5, 10 and 7.5, 9 and 7.5, 10 and 10, 7 and 12.5, 6 and 12.5, 8 and 15, 4 and 15, 7 and 17.5, 5 and 20, 1 and 20, 3 and 22.5, 9 and 25, 1 and 27.5, 1.

Part A: The relationship between the temperature of the city and the sale of sweaters in the city can be found by drawing the line of best fit.

If you will draw line through , (12.5,6) and (15,4), it will best represent line of best fit, because most of points on same and opposite side of line are equidistant from each other.

Equation of line passing through two points, $(x_{1},y_{1}),(x_{2},y_{2})is, \frac{y-y_{1} }{x-x_{1} } = \frac({y_{2} - y_{1}})({x_{2}-x{1} })$

Equation of line passing through (12.5,6) and (15,4) is given by

$\frac{y-6}{x-12.5} = \frac{6-4}{12.5-15}$

$2x-25=-2.5+15$

$2x+2.5y=40$

$20x+25y= 400$

$4x+5y=80$

Part B: Description of line of best fit

A line of best is the line which passes through all or some points or only through a single point, which describes the relationship between x and y values of data set. The line passes through (12.5,6), (15,4),and (7,10) that is three points.

(C) 4 x + 5 y=80

5 y= - 4 x +80

$y=\frac{-4x}{5}+16$

Slope $= \frac{-4}{5}$ , Y- intercept = 16

8 0

3 years ago