Television sizes are usually described by the length of their diagonal measure. what would be the listed size of the tv shown in the picture?
a. 1,424 inches
b. 32 inches
c. 38 inches
d. 20 inches

Let D = diagonal distance of tv.

D^2 = (32)^2 + (20)^2

D^2 = 1424

sqrt{D^2} = sqrt{1424}

D = 37.7359245282

We can round off to the nearest ones place.

D = 38 inches is the answer.

C. 38 inches.

Step-by-step explanation:

We have been given that television sizes are usually described by the length of their diagonal measure. We are asked to find the listed size of the TV shown in the picture.

We can see that the length of screen is 32 inches and width is 20 inches. To find the listed size of the TV, we will use Pythagoras theorem as:

Take square root of both sides:

Therefore, the listed size of the TV would be 38 inches and option C is the correct choice.

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x